Ticket #56954: numpy-test-suite.txt

File numpy-test-suite.txt, 149.9 KB (added by mojca (Mojca Miklavec), 6 years ago)

failed tests of numpy

Line 
1>>> import numpy
2>>> numpy.test('full')
3NumPy version 1.15.0
4NumPy relaxed strides checking option: True
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31================================================================================================= FAILURES ==================================================================================================
32___________________________________________________________________________________________ TestDocs.test_polyfit ___________________________________________________________________________________________
33
34self = <numpy.lib.tests.test_polynomial.TestDocs object at 0x10b053e48>
35
36    def test_polyfit(self):
37        c = np.array([3., 2., 1.])
38        x = np.linspace(0, 2, 7)
39        y = np.polyval(c, x)
40        err = [1, -1, 1, -1, 1, -1, 1]
41        weights = np.arange(8, 1, -1)**2/7.0
42   
43        # Check exception when too few points for variance estimate. Note that
44        # the Bayesian estimate requires the number of data points to exceed
45        # degree + 3.
46        assert_raises(ValueError, np.polyfit,
47                      [0, 1, 3], [0, 1, 3], deg=0, cov=True)
48   
49        # check 1D case
50>       m, cov = np.polyfit(x, y+err, 2, cov=True)
51
52c          = array([3., 2., 1.])
53err        = [1, -1, 1, -1, 1, -1, ...]
54self       = <numpy.lib.tests.test_polynomial.TestDocs object at 0x10b053e48>
55weights    = array([9.14285714, 7.        , 5.14285714, 3.57142857, 2.28571429,
56       1.28571429, 0.57142857])
57x          = array([0.        , 0.33333333, 0.66666667, 1.        , 1.33333333,
58       1.66666667, 2.        ])
59y          = array([ 1.        ,  2.        ,  3.66666667,  6.        ,  9.        ,
60       12.66666667, 17.        ])
61
62/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/lib/tests/test_polynomial.py:145:
63_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
64
65x = array([0.        , 0.33333333, 0.66666667, 1.        , 1.33333333,
66       1.66666667, 2.        ])
67y = array([ 2.        ,  1.        ,  4.66666667,  5.        , 10.        ,
68       11.66666667, 18.        ]), deg = 2, rcond = 1.5543122344752192e-15, full = False, w = None, cov = True
69
70    def polyfit(x, y, deg, rcond=None, full=False, w=None, cov=False):
71        """
72        Least squares polynomial fit.
73   
74        Fit a polynomial ``p(x) = p[0] * x**deg + ... + p[deg]`` of degree `deg`
75        to points `(x, y)`. Returns a vector of coefficients `p` that minimises
76        the squared error.
77   
78        Parameters
79        ----------
80        x : array_like, shape (M,)
81            x-coordinates of the M sample points ``(x[i], y[i])``.
82        y : array_like, shape (M,) or (M, K)
83            y-coordinates of the sample points. Several data sets of sample
84            points sharing the same x-coordinates can be fitted at once by
85            passing in a 2D-array that contains one dataset per column.
86        deg : int
87            Degree of the fitting polynomial
88        rcond : float, optional
89            Relative condition number of the fit. Singular values smaller than
90            this relative to the largest singular value will be ignored. The
91            default value is len(x)*eps, where eps is the relative precision of
92            the float type, about 2e-16 in most cases.
93        full : bool, optional
94            Switch determining nature of return value. When it is False (the
95            default) just the coefficients are returned, when True diagnostic
96            information from the singular value decomposition is also returned.
97        w : array_like, shape (M,), optional
98            Weights to apply to the y-coordinates of the sample points. For
99            gaussian uncertainties, use 1/sigma (not 1/sigma**2).
100        cov : bool, optional
101            Return the estimate and the covariance matrix of the estimate
102            If full is True, then cov is not returned.
103   
104        Returns
105        -------
106        p : ndarray, shape (deg + 1,) or (deg + 1, K)
107            Polynomial coefficients, highest power first.  If `y` was 2-D, the
108            coefficients for `k`-th data set are in ``p[:,k]``.
109   
110        residuals, rank, singular_values, rcond
111            Present only if `full` = True.  Residuals of the least-squares fit,
112            the effective rank of the scaled Vandermonde coefficient matrix,
113            its singular values, and the specified value of `rcond`. For more
114            details, see `linalg.lstsq`.
115   
116        V : ndarray, shape (M,M) or (M,M,K)
117            Present only if `full` = False and `cov`=True.  The covariance
118            matrix of the polynomial coefficient estimates.  The diagonal of
119            this matrix are the variance estimates for each coefficient.  If y
120            is a 2-D array, then the covariance matrix for the `k`-th data set
121            are in ``V[:,:,k]``
122   
123   
124        Warns
125        -----
126        RankWarning
127            The rank of the coefficient matrix in the least-squares fit is
128            deficient. The warning is only raised if `full` = False.
129   
130            The warnings can be turned off by
131   
132            >>> import warnings
133            >>> warnings.simplefilter('ignore', np.RankWarning)
134   
135        See Also
136        --------
137        polyval : Compute polynomial values.
138        linalg.lstsq : Computes a least-squares fit.
139        scipy.interpolate.UnivariateSpline : Computes spline fits.
140   
141        Notes
142        -----
143        The solution minimizes the squared error
144   
145        .. math ::
146            E = \\sum_{j=0}^k |p(x_j) - y_j|^2
147   
148        in the equations::
149   
150            x[0]**n * p[0] + ... + x[0] * p[n-1] + p[n] = y[0]
151            x[1]**n * p[0] + ... + x[1] * p[n-1] + p[n] = y[1]
152            ...
153            x[k]**n * p[0] + ... + x[k] * p[n-1] + p[n] = y[k]
154   
155        The coefficient matrix of the coefficients `p` is a Vandermonde matrix.
156   
157        `polyfit` issues a `RankWarning` when the least-squares fit is badly
158        conditioned. This implies that the best fit is not well-defined due
159        to numerical error. The results may be improved by lowering the polynomial
160        degree or by replacing `x` by `x` - `x`.mean(). The `rcond` parameter
161        can also be set to a value smaller than its default, but the resulting
162        fit may be spurious: including contributions from the small singular
163        values can add numerical noise to the result.
164   
165        Note that fitting polynomial coefficients is inherently badly conditioned
166        when the degree of the polynomial is large or the interval of sample points
167        is badly centered. The quality of the fit should always be checked in these
168        cases. When polynomial fits are not satisfactory, splines may be a good
169        alternative.
170   
171        References
172        ----------
173        .. [1] Wikipedia, "Curve fitting",
174               http://en.wikipedia.org/wiki/Curve_fitting
175        .. [2] Wikipedia, "Polynomial interpolation",
176               http://en.wikipedia.org/wiki/Polynomial_interpolation
177   
178        Examples
179        --------
180        >>> x = np.array([0.0, 1.0, 2.0, 3.0,  4.0,  5.0])
181        >>> y = np.array([0.0, 0.8, 0.9, 0.1, -0.8, -1.0])
182        >>> z = np.polyfit(x, y, 3)
183        >>> z
184        array([ 0.08703704, -0.81349206,  1.69312169, -0.03968254])
185   
186        It is convenient to use `poly1d` objects for dealing with polynomials:
187   
188        >>> p = np.poly1d(z)
189        >>> p(0.5)
190        0.6143849206349179
191        >>> p(3.5)
192        -0.34732142857143039
193        >>> p(10)
194        22.579365079365115
195   
196        High-order polynomials may oscillate wildly:
197   
198        >>> p30 = np.poly1d(np.polyfit(x, y, 30))
199        /... RankWarning: Polyfit may be poorly conditioned...
200        >>> p30(4)
201        -0.80000000000000204
202        >>> p30(5)
203        -0.99999999999999445
204        >>> p30(4.5)
205        -0.10547061179440398
206   
207        Illustration:
208   
209        >>> import matplotlib.pyplot as plt
210        >>> xp = np.linspace(-2, 6, 100)
211        >>> _ = plt.plot(x, y, '.', xp, p(xp), '-', xp, p30(xp), '--')
212        >>> plt.ylim(-2,2)
213        (-2, 2)
214        >>> plt.show()
215   
216        """
217        order = int(deg) + 1
218        x = NX.asarray(x) + 0.0
219        y = NX.asarray(y) + 0.0
220   
221        # check arguments.
222        if deg < 0:
223            raise ValueError("expected deg >= 0")
224        if x.ndim != 1:
225            raise TypeError("expected 1D vector for x")
226        if x.size == 0:
227            raise TypeError("expected non-empty vector for x")
228        if y.ndim < 1 or y.ndim > 2:
229            raise TypeError("expected 1D or 2D array for y")
230        if x.shape[0] != y.shape[0]:
231            raise TypeError("expected x and y to have same length")
232   
233        # set rcond
234        if rcond is None:
235            rcond = len(x)*finfo(x.dtype).eps
236   
237        # set up least squares equation for powers of x
238        lhs = vander(x, order)
239        rhs = y
240   
241        # apply weighting
242        if w is not None:
243            w = NX.asarray(w) + 0.0
244            if w.ndim != 1:
245                raise TypeError("expected a 1-d array for weights")
246            if w.shape[0] != y.shape[0]:
247                raise TypeError("expected w and y to have the same length")
248            lhs *= w[:, NX.newaxis]
249            if rhs.ndim == 2:
250                rhs *= w[:, NX.newaxis]
251            else:
252                rhs *= w
253   
254        # scale lhs to improve condition number and solve
255        scale = NX.sqrt((lhs*lhs).sum(axis=0))
256        lhs /= scale
257        c, resids, rank, s = lstsq(lhs, rhs, rcond)
258        c = (c.T/scale).T  # broadcast scale coefficients
259   
260        # warn on rank reduction, which indicates an ill conditioned matrix
261        if rank != order and not full:
262            msg = "Polyfit may be poorly conditioned"
263            warnings.warn(msg, RankWarning, stacklevel=2)
264   
265        if full:
266            return c, resids, rank, s, rcond
267        elif cov:
268            Vbase = inv(dot(lhs.T, lhs))
269            Vbase /= NX.outer(scale, scale)
270            # Some literature ignores the extra -2.0 factor in the denominator, but
271            #  it is included here because the covariance of Multivariate Student-T
272            #  (which is implied by a Bayesian uncertainty analysis) includes it.
273            #  Plus, it gives a slightly more conservative estimate of uncertainty.
274            if len(x) <= order + 2:
275                raise ValueError("the number of data points must exceed order + 2 "
276                                 "for Bayesian estimate the covariance matrix")
277            fac = resids / (len(x) - order - 2.0)
278            if y.ndim == 1:
279>               return c, Vbase * fac
280E               ValueError: operands could not be broadcast together with shapes (3,3) (0,)
281
282Vbase      = array([[ 0.96428571, -1.92857143,  0.53571429],
283       [-1.92857143,  4.17857143, -1.39285714],
284       [ 0.53571429, -1.39285714,  0.76190476]])
285c          = array([5.29966223, 3.17979734, 2.64575131])
286cov        = True
287deg        = 2
288fac        = array([], dtype=float64)
289full       = False
290lhs        = array([[0.        , 0.        , 0.37796447],
291       [0.0209657 , 0.10482848, 0.37796447],
292       [0.08386279, 0.209656...15, 0.41931393, 0.37796447],
293       [0.52414242, 0.52414242, 0.37796447],
294       [0.75476508, 0.6289709 , 0.37796447]])
295msg        = 'Polyfit may be poorly conditioned'
296order      = 3
297rank       = 16843008
298rcond      = 1.5543122344752192e-15
299resids     = array([], dtype=float64)
300rhs        = array([ 2.        ,  1.        ,  4.66666667,  5.        , 10.        ,
301       11.66666667, 18.        ])
302s          = array([0., 1., 3.])
303scale      = array([5.29966223, 3.17979734, 2.64575131])
304w          = None
305x          = array([0.        , 0.33333333, 0.66666667, 1.        , 1.33333333,
306       1.66666667, 2.        ])
307y          = array([ 2.        ,  1.        ,  4.66666667,  5.        , 10.        ,
308       11.66666667, 18.        ])
309
310/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/lib/polynomial.py:602: ValueError
311------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
312Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438800384) failed (error code=3)
313*** error: can't allocate region
314*** set a breakpoint in malloc_error_break to debug
315init_dgelsd failed init
316Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438812672) failed (error code=3)
317*** error: can't allocate region
318*** set a breakpoint in malloc_error_break to debug
319init_dgelsd failed init
320_____________________________________________________________________________________ TestRegression.test_polyfit_build _____________________________________________________________________________________
321
322self = <numpy.lib.tests.test_regression.TestRegression object at 0x10b3d42e8>
323
324    def test_polyfit_build(self):
325        # Ticket #628
326        ref = [-1.06123820e-06, 5.70886914e-04, -1.13822012e-01,
327               9.95368241e+00, -3.14526520e+02]
328        x = [90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103,
329             104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115,
330             116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 129,
331             130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141,
332             146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157,
333             158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169,
334             170, 171, 172, 173, 174, 175, 176]
335        y = [9.0, 3.0, 7.0, 4.0, 4.0, 8.0, 6.0, 11.0, 9.0, 8.0, 11.0, 5.0,
336             6.0, 5.0, 9.0, 8.0, 6.0, 10.0, 6.0, 10.0, 7.0, 6.0, 6.0, 6.0,
337             13.0, 4.0, 9.0, 11.0, 4.0, 5.0, 8.0, 5.0, 7.0, 7.0, 6.0, 12.0,
338             7.0, 7.0, 9.0, 4.0, 12.0, 6.0, 6.0, 4.0, 3.0, 9.0, 8.0, 8.0,
339             6.0, 7.0, 9.0, 10.0, 6.0, 8.0, 4.0, 7.0, 7.0, 10.0, 8.0, 8.0,
340             6.0, 3.0, 8.0, 4.0, 5.0, 7.0, 8.0, 6.0, 6.0, 4.0, 12.0, 9.0,
341             8.0, 8.0, 8.0, 6.0, 7.0, 4.0, 4.0, 5.0, 7.0]
342        tested = np.polyfit(x, y, 4)
343>       assert_array_almost_equal(ref, tested)
344E       AssertionError:
345E       Arrays are not almost equal to 6 decimals
346E       
347E       (mismatch 100.0%)
348E        x: array([-1.061238e-06,  5.708869e-04, -1.138220e-01,  9.953682e+00,
349E              -3.145265e+02])
350E        y: array([4.191277e+09, 2.668547e+07, 1.757346e+05, 1.216110e+03,
351E              9.000000e+00])
352
353ref        = [-1.0612382e-06, 0.000570886914, -0.113822012, 9.95368241, -314.52652]
354self       = <numpy.lib.tests.test_regression.TestRegression object at 0x10b3d42e8>
355tested     = array([4.19127652e+09, 2.66854699e+07, 1.75734565e+05, 1.21611019e+03,
356       9.00000000e+00])
357x          = [90, 91, 92, 93, 94, 95, ...]
358y          = [9.0, 3.0, 7.0, 4.0, 4.0, 8.0, ...]
359
360/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/lib/tests/test_regression.py:104: AssertionError
361------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
362Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438812672) failed (error code=3)
363*** error: can't allocate region
364*** set a breakpoint in malloc_error_break to debug
365init_dgelsd failed init
366__________________________________________________________________________________________ TestLstsq.test_sq_cases __________________________________________________________________________________________
367
368self = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10b066208>, require = {'square'}, exclude = {'generalized', 'size-0'}
369
370    def check_cases(self, require=set(), exclude=set()):
371        """
372            Run func on each of the cases with all of the tags in require, and none
373            of the tags in exclude
374            """
375        for case in self.TEST_CASES:
376            # filter by require and exclude
377            if case.tags & require != require:
378                continue
379            if case.tags & exclude:
380                continue
381   
382            try:
383>               case.check(self.do)
384
385case       = <LinalgCase: single>
386exclude    = {'generalized', 'size-0'}
387msg        = 'In test case: <LinalgCase: single>\n\nTraceback (most recent call last):\n  File "/opt/local/Library/Frameworks/Pytho...ost equal to 6 decimals\n\n(mismatch 100.0%)\n x: array([2., 1.], dtype=float32)\n y: array([0., 0.], dtype=float32)\n'
388require    = {'square'}
389self       = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10b066208>
390
391/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:350:
392_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
393
394self = <LinalgCase: single>, do = <bound method LstsqCases.do of <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10b066208>>
395
396    def check(self, do):
397        """
398            Run the function `do` on this test case, expanding arguments
399            """
400>       do(self.a, self.b, tags=self.tags)
401
402do         = <bound method LstsqCases.do of <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10b066208>>
403self       = <LinalgCase: single>
404
405/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:85:
406_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
407
408self = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10b066208>, a = array([[1., 2.],
409       [3., 4.]], dtype=float32), b = array([2., 1.], dtype=float32), tags = frozenset({'square'})
410
411    def do(self, a, b, tags):
412        if 'size-0' in tags:
413            assert_raises(LinAlgError, linalg.lstsq, a, b)
414            return
415   
416        arr = np.asarray(a)
417        m, n = arr.shape
418        u, s, vt = linalg.svd(a, 0)
419        x, residuals, rank, sv = linalg.lstsq(a, b, rcond=-1)
420        if m <= n:
421>           assert_almost_equal(b, dot(a, x))
422
423a          = array([[1., 2.],
424       [3., 4.]], dtype=float32)
425arr        = array([[1., 2.],
426       [3., 4.]], dtype=float32)
427b          = array([2., 1.], dtype=float32)
428m          = 2
429n          = 2
430rank       = 0
431residuals  = array([], dtype=float32)
432s          = array([5.464986 , 0.3659662], dtype=float32)
433self       = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10b066208>
434sv         = array([0., 0.], dtype=float32)
435tags       = frozenset({'square'})
436u          = array([[-0.4045536, -0.9145143],
437       [-0.9145143,  0.4045536]], dtype=float32)
438vt         = array([[-0.57604843, -0.81741554],
439       [ 0.81741554, -0.57604843]], dtype=float32)
440x          = array([0., 0.], dtype=float32)
441
442/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:887:
443_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
444
445a = array([2., 1.], dtype=float32), b = array([0., 0.], dtype=float32), single_decimal = 6, double_decimal = 12, kw = {}, decimal = 6
446
447    def assert_almost_equal(a, b, single_decimal=6, double_decimal=12, **kw):
448        if asarray(a).dtype.type in (single, csingle):
449            decimal = single_decimal
450        else:
451            decimal = double_decimal
452>       old_assert_almost_equal(a, b, decimal=decimal, **kw)
453
454a          = array([2., 1.], dtype=float32)
455b          = array([0., 0.], dtype=float32)
456decimal    = 6
457double_decimal = 12
458kw         = {}
459single_decimal = 6
460
461/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:41:
462_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
463
464actual = array([2., 1.], dtype=float32), desired = array([0., 0.], dtype=float32), decimal = 6, err_msg = '', verbose = True
465
466    def assert_almost_equal(actual,desired,decimal=7,err_msg='',verbose=True):
467        """
468        Raises an AssertionError if two items are not equal up to desired
469        precision.
470   
471        .. note:: It is recommended to use one of `assert_allclose`,
472                  `assert_array_almost_equal_nulp` or `assert_array_max_ulp`
473                  instead of this function for more consistent floating point
474                  comparisons.
475   
476        The test verifies that the elements of ``actual`` and ``desired`` satisfy.
477   
478            ``abs(desired-actual) < 1.5 * 10**(-decimal)``
479   
480        That is a looser test than originally documented, but agrees with what the
481        actual implementation in `assert_array_almost_equal` did up to rounding
482        vagaries. An exception is raised at conflicting values. For ndarrays this
483        delegates to assert_array_almost_equal
484   
485        Parameters
486        ----------
487        actual : array_like
488            The object to check.
489        desired : array_like
490            The expected object.
491        decimal : int, optional
492            Desired precision, default is 7.
493        err_msg : str, optional
494            The error message to be printed in case of failure.
495        verbose : bool, optional
496            If True, the conflicting values are appended to the error message.
497   
498        Raises
499        ------
500        AssertionError
501          If actual and desired are not equal up to specified precision.
502   
503        See Also
504        --------
505        assert_allclose: Compare two array_like objects for equality with desired
506                         relative and/or absolute precision.
507        assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal
508   
509        Examples
510        --------
511        >>> import numpy.testing as npt
512        >>> npt.assert_almost_equal(2.3333333333333, 2.33333334)
513        >>> npt.assert_almost_equal(2.3333333333333, 2.33333334, decimal=10)
514        ...
515        <type 'exceptions.AssertionError'>:
516        Items are not equal:
517         ACTUAL: 2.3333333333333002
518         DESIRED: 2.3333333399999998
519   
520        >>> npt.assert_almost_equal(np.array([1.0,2.3333333333333]),
521        ...                         np.array([1.0,2.33333334]), decimal=9)
522        ...
523        <type 'exceptions.AssertionError'>:
524        Arrays are not almost equal
525        <BLANKLINE>
526        (mismatch 50.0%)
527         x: array([ 1.        ,  2.33333333])
528         y: array([ 1.        ,  2.33333334])
529   
530        """
531        __tracebackhide__ = True  # Hide traceback for py.test
532        from numpy.core import ndarray
533        from numpy.lib import iscomplexobj, real, imag
534   
535        # Handle complex numbers: separate into real/imag to handle
536        # nan/inf/negative zero correctly
537        # XXX: catch ValueError for subclasses of ndarray where iscomplex fail
538        try:
539            usecomplex = iscomplexobj(actual) or iscomplexobj(desired)
540        except ValueError:
541            usecomplex = False
542   
543        def _build_err_msg():
544            header = ('Arrays are not almost equal to %d decimals' % decimal)
545            return build_err_msg([actual, desired], err_msg, verbose=verbose,
546                                 header=header)
547   
548        if usecomplex:
549            if iscomplexobj(actual):
550                actualr = real(actual)
551                actuali = imag(actual)
552            else:
553                actualr = actual
554                actuali = 0
555            if iscomplexobj(desired):
556                desiredr = real(desired)
557                desiredi = imag(desired)
558            else:
559                desiredr = desired
560                desiredi = 0
561            try:
562                assert_almost_equal(actualr, desiredr, decimal=decimal)
563                assert_almost_equal(actuali, desiredi, decimal=decimal)
564            except AssertionError:
565                raise AssertionError(_build_err_msg())
566   
567        if isinstance(actual, (ndarray, tuple, list)) \
568                or isinstance(desired, (ndarray, tuple, list)):
569>           return assert_array_almost_equal(actual, desired, decimal, err_msg)
570
571__tracebackhide__ = True
572_build_err_msg = <function assert_almost_equal.<locals>._build_err_msg at 0x10c1f49d8>
573actual     = array([2., 1.], dtype=float32)
574decimal    = 6
575desired    = array([0., 0.], dtype=float32)
576err_msg    = ''
577imag       = <function imag at 0x103d8f620>
578iscomplexobj = <function iscomplexobj at 0x103d8f7b8>
579ndarray    = <class 'numpy.ndarray'>
580real       = <function real at 0x103d8f598>
581usecomplex = False
582verbose    = True
583
584/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py:568:
585_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
586
587x = array([2., 1.], dtype=float32), y = array([0., 0.], dtype=float32), decimal = 6, err_msg = '', verbose = True
588
589    def assert_array_almost_equal(x, y, decimal=6, err_msg='', verbose=True):
590        """
591        Raises an AssertionError if two objects are not equal up to desired
592        precision.
593   
594        .. note:: It is recommended to use one of `assert_allclose`,
595                  `assert_array_almost_equal_nulp` or `assert_array_max_ulp`
596                  instead of this function for more consistent floating point
597                  comparisons.
598   
599        The test verifies identical shapes and that the elements of ``actual`` and
600        ``desired`` satisfy.
601   
602            ``abs(desired-actual) < 1.5 * 10**(-decimal)``
603   
604        That is a looser test than originally documented, but agrees with what the
605        actual implementation did up to rounding vagaries. An exception is raised
606        at shape mismatch or conflicting values. In contrast to the standard usage
607        in numpy, NaNs are compared like numbers, no assertion is raised if both
608        objects have NaNs in the same positions.
609   
610        Parameters
611        ----------
612        x : array_like
613            The actual object to check.
614        y : array_like
615            The desired, expected object.
616        decimal : int, optional
617            Desired precision, default is 6.
618        err_msg : str, optional
619          The error message to be printed in case of failure.
620        verbose : bool, optional
621            If True, the conflicting values are appended to the error message.
622   
623        Raises
624        ------
625        AssertionError
626            If actual and desired are not equal up to specified precision.
627   
628        See Also
629        --------
630        assert_allclose: Compare two array_like objects for equality with desired
631                         relative and/or absolute precision.
632        assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal
633   
634        Examples
635        --------
636        the first assert does not raise an exception
637   
638        >>> np.testing.assert_array_almost_equal([1.0,2.333,np.nan],
639                                                 [1.0,2.333,np.nan])
640   
641        >>> np.testing.assert_array_almost_equal([1.0,2.33333,np.nan],
642        ...                                      [1.0,2.33339,np.nan], decimal=5)
643        ...
644        <type 'exceptions.AssertionError'>:
645        AssertionError:
646        Arrays are not almost equal
647        <BLANKLINE>
648        (mismatch 50.0%)
649         x: array([ 1.     ,  2.33333,      NaN])
650         y: array([ 1.     ,  2.33339,      NaN])
651   
652        >>> np.testing.assert_array_almost_equal([1.0,2.33333,np.nan],
653        ...                                      [1.0,2.33333, 5], decimal=5)
654        <type 'exceptions.ValueError'>:
655        ValueError:
656        Arrays are not almost equal
657         x: array([ 1.     ,  2.33333,      NaN])
658         y: array([ 1.     ,  2.33333,  5.     ])
659   
660        """
661        __tracebackhide__ = True  # Hide traceback for py.test
662        from numpy.core import around, number, float_, result_type, array
663        from numpy.core.numerictypes import issubdtype
664        from numpy.core.fromnumeric import any as npany
665   
666        def compare(x, y):
667            try:
668                if npany(gisinf(x)) or npany( gisinf(y)):
669                    xinfid = gisinf(x)
670                    yinfid = gisinf(y)
671                    if not (xinfid == yinfid).all():
672                        return False
673                    # if one item, x and y is +- inf
674                    if x.size == y.size == 1:
675                        return x == y
676                    x = x[~xinfid]
677                    y = y[~yinfid]
678            except (TypeError, NotImplementedError):
679                pass
680   
681            # make sure y is an inexact type to avoid abs(MIN_INT); will cause
682            # casting of x later.
683            dtype = result_type(y, 1.)
684            y = array(y, dtype=dtype, copy=False, subok=True)
685            z = abs(x - y)
686   
687            if not issubdtype(z.dtype, number):
688                z = z.astype(float_)  # handle object arrays
689   
690            return z < 1.5 * 10.0**(-decimal)
691   
692        assert_array_compare(compare, x, y, err_msg=err_msg, verbose=verbose,
693                 header=('Arrays are not almost equal to %d decimals' % decimal),
694>                precision=decimal)
695
696__tracebackhide__ = True
697around     = <function around at 0x10385c8c8>
698array      = <built-in function array>
699compare    = <function assert_array_almost_equal.<locals>.compare at 0x10c1f4730>
700decimal    = 6
701err_msg    = ''
702float_     = <class 'numpy.float64'>
703issubdtype = <function issubdtype at 0x10371cae8>
704npany      = <function any at 0x10385c2f0>
705number     = <class 'numpy.number'>
706result_type = <built-in function result_type>
707verbose    = True
708x          = array([2., 1.], dtype=float32)
709y          = array([0., 0.], dtype=float32)
710
711/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py:964:
712_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
713
714comparison = <function assert_array_almost_equal.<locals>.compare at 0x10c1f4730>, x = array([2., 1.], dtype=float32), y = array([0., 0.], dtype=float32), err_msg = '', verbose = True
715header = 'Arrays are not almost equal to 6 decimals', precision = 6, equal_nan = True, equal_inf = True
716
717    def assert_array_compare(comparison, x, y, err_msg='', verbose=True,
718                             header='', precision=6, equal_nan=True,
719                             equal_inf=True):
720        __tracebackhide__ = True  # Hide traceback for py.test
721        from numpy.core import array, isnan, inf, bool_
722        x = array(x, copy=False, subok=True)
723        y = array(y, copy=False, subok=True)
724   
725        def isnumber(x):
726            return x.dtype.char in '?bhilqpBHILQPefdgFDG'
727   
728        def istime(x):
729            return x.dtype.char in "Mm"
730   
731        def func_assert_same_pos(x, y, func=isnan, hasval='nan'):
732            """Handling nan/inf: combine results of running func on x and y,
733            checking that they are True at the same locations."""
734            # Both the != True comparison here and the cast to bool_ at
735            # the end are done to deal with `masked`, which cannot be
736            # compared usefully, and for which .all() yields masked.
737            x_id = func(x)
738            y_id = func(y)
739            if (x_id == y_id).all() != True:
740                msg = build_err_msg([x, y],
741                                    err_msg + '\nx and y %s location mismatch:'
742                                    % (hasval), verbose=verbose, header=header,
743                                    names=('x', 'y'), precision=precision)
744                raise AssertionError(msg)
745            # If there is a scalar, then here we know the array has the same
746            # flag as it everywhere, so we should return the scalar flag.
747            if x_id.ndim == 0:
748                return bool_(x_id)
749            elif y_id.ndim == 0:
750                return bool_(y_id)
751            else:
752                return y_id
753   
754        try:
755            cond = (x.shape == () or y.shape == ()) or x.shape == y.shape
756            if not cond:
757                msg = build_err_msg([x, y],
758                                    err_msg
759                                    + '\n(shapes %s, %s mismatch)' % (x.shape,
760                                                                      y.shape),
761                                    verbose=verbose, header=header,
762                                    names=('x', 'y'), precision=precision)
763                raise AssertionError(msg)
764   
765            flagged = bool_(False)
766            if isnumber(x) and isnumber(y):
767                if equal_nan:
768                    flagged = func_assert_same_pos(x, y, func=isnan, hasval='nan')
769   
770                if equal_inf:
771                    flagged |= func_assert_same_pos(x, y,
772                                                    func=lambda xy: xy == +inf,
773                                                    hasval='+inf')
774                    flagged |= func_assert_same_pos(x, y,
775                                                    func=lambda xy: xy == -inf,
776                                                    hasval='-inf')
777   
778            elif istime(x) and istime(y):
779                # If one is datetime64 and the other timedelta64 there is no point
780                if equal_nan and x.dtype.type == y.dtype.type:
781                    flagged = func_assert_same_pos(x, y, func=isnat, hasval="NaT")
782   
783            if flagged.ndim > 0:
784                x, y = x[~flagged], y[~flagged]
785                # Only do the comparison if actual values are left
786                if x.size == 0:
787                    return
788            elif flagged:
789                # no sense doing comparison if everything is flagged.
790                return
791   
792            val = comparison(x, y)
793   
794            if isinstance(val, bool):
795                cond = val
796                reduced = [0]
797            else:
798                reduced = val.ravel()
799                cond = reduced.all()
800                reduced = reduced.tolist()
801            # The below comparison is a hack to ensure that fully masked
802            # results, for which val.ravel().all() returns np.ma.masked,
803            # do not trigger a failure (np.ma.masked != True evaluates as
804            # np.ma.masked, which is falsy).
805            if cond != True:
806                match = 100-100.0*reduced.count(1)/len(reduced)
807                msg = build_err_msg([x, y],
808                                    err_msg
809                                    + '\n(mismatch %s%%)' % (match,),
810                                    verbose=verbose, header=header,
811                                    names=('x', 'y'), precision=precision)
812>               raise AssertionError(msg)
813E               AssertionError:
814E               Arrays are not almost equal to 6 decimals
815E               
816E               (mismatch 100.0%)
817E                x: array([2., 1.], dtype=float32)
818E                y: array([0., 0.], dtype=float32)
819
820__tracebackhide__ = True
821array      = <built-in function array>
822bool_      = <class 'numpy.bool_'>
823comparison = <function assert_array_almost_equal.<locals>.compare at 0x10c1f4730>
824cond       = False
825equal_inf  = True
826equal_nan  = True
827err_msg    = ''
828flagged    = array([False, False])
829func_assert_same_pos = <function assert_array_compare.<locals>.func_assert_same_pos at 0x10c1f4a60>
830header     = 'Arrays are not almost equal to 6 decimals'
831inf        = inf
832isnan      = <ufunc 'isnan'>
833isnumber   = <function assert_array_compare.<locals>.isnumber at 0x10c1f46a8>
834istime     = <function assert_array_compare.<locals>.istime at 0x10c1f4840>
835match      = 100.0
836msg        = '\nArrays are not almost equal to 6 decimals\n\n(mismatch 100.0%)\n x: array([2., 1.], dtype=float32)\n y: array([0., 0.], dtype=float32)'
837precision  = 6
838reduced    = [False, False]
839val        = array([False, False])
840verbose    = True
841x          = array([2., 1.], dtype=float32)
842y          = array([0., 0.], dtype=float32)
843
844/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py:780: AssertionError
845
846During handling of the above exception, another exception occurred:
847
848self = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10b066208>
849
850    def test_sq_cases(self):
851        self.check_cases(require={'square'},
852>                        exclude={'generalized', 'size-0'})
853
854self       = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10b066208>
855
856/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:361:
857_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
858
859self = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10b066208>, require = {'square'}, exclude = {'generalized', 'size-0'}
860
861    def check_cases(self, require=set(), exclude=set()):
862        """
863            Run func on each of the cases with all of the tags in require, and none
864            of the tags in exclude
865            """
866        for case in self.TEST_CASES:
867            # filter by require and exclude
868            if case.tags & require != require:
869                continue
870            if case.tags & exclude:
871                continue
872   
873            try:
874                case.check(self.do)
875            except Exception:
876                msg = "In test case: %r\n\n" % case
877                msg += traceback.format_exc()
878>               raise AssertionError(msg)
879E               AssertionError: In test case: <LinalgCase: single>
880E               
881E               Traceback (most recent call last):
882E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py", line 350, in check_cases
883E                   case.check(self.do)
884E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py", line 85, in check
885E                   do(self.a, self.b, tags=self.tags)
886E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py", line 887, in do
887E                   assert_almost_equal(b, dot(a, x))
888E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py", line 41, in assert_almost_equal
889E                   old_assert_almost_equal(a, b, decimal=decimal, **kw)
890E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py", line 568, in assert_almost_equal
891E                   return assert_array_almost_equal(actual, desired, decimal, err_msg)
892E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py", line 964, in assert_array_almost_equal
893E                   precision=decimal)
894E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py", line 780, in assert_array_compare
895E                   raise AssertionError(msg)
896E               AssertionError:
897E               Arrays are not almost equal to 6 decimals
898E               
899E               (mismatch 100.0%)
900E                x: array([2., 1.], dtype=float32)
901E                y: array([0., 0.], dtype=float32)
902
903case       = <LinalgCase: single>
904exclude    = {'generalized', 'size-0'}
905msg        = 'In test case: <LinalgCase: single>\n\nTraceback (most recent call last):\n  File "/opt/local/Library/Frameworks/Pytho...ost equal to 6 decimals\n\n(mismatch 100.0%)\n x: array([2., 1.], dtype=float32)\n y: array([0., 0.], dtype=float32)\n'
906require    = {'square'}
907self       = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10b066208>
908
909/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:354: AssertionError
910------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
911Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438804480) failed (error code=3)
912*** error: can't allocate region
913*** set a breakpoint in malloc_error_break to debug
914init_dgelsd failed init
915________________________________________________________________________________________ TestLstsq.test_nonsq_cases _________________________________________________________________________________________
916
917self = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10e52f470>, require = {'nonsquare'}, exclude = {'generalized', 'size-0'}
918
919    def check_cases(self, require=set(), exclude=set()):
920        """
921            Run func on each of the cases with all of the tags in require, and none
922            of the tags in exclude
923            """
924        for case in self.TEST_CASES:
925            # filter by require and exclude
926            if case.tags & require != require:
927                continue
928            if case.tags & exclude:
929                continue
930   
931            try:
932>               case.check(self.do)
933
934case       = <LinalgCase: single_nsq_1>
935exclude    = {'generalized', 'size-0'}
936msg        = 'In test case: <LinalgCase: single_nsq_1>\n\nTraceback (most recent call last):\n  File "/opt/local/Library/Frameworks...t equal to 6 decimals\n\n(mismatch 100.0%)\n x: array([2., 1.], dtype=float32)\n y: array([ 6., 13.], dtype=float32)\n'
937require    = {'nonsquare'}
938self       = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10e52f470>
939
940/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:350:
941_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
942
943self = <LinalgCase: single_nsq_1>, do = <bound method LstsqCases.do of <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10e52f470>>
944
945    def check(self, do):
946        """
947            Run the function `do` on this test case, expanding arguments
948            """
949>       do(self.a, self.b, tags=self.tags)
950
951do         = <bound method LstsqCases.do of <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10e52f470>>
952self       = <LinalgCase: single_nsq_1>
953
954/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:85:
955_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
956
957self = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10e52f470>, a = array([[1., 2., 3.],
958       [3., 4., 6.]], dtype=float32), b = array([2., 1.], dtype=float32), tags = frozenset({'nonsquare'})
959
960    def do(self, a, b, tags):
961        if 'size-0' in tags:
962            assert_raises(LinAlgError, linalg.lstsq, a, b)
963            return
964   
965        arr = np.asarray(a)
966        m, n = arr.shape
967        u, s, vt = linalg.svd(a, 0)
968        x, residuals, rank, sv = linalg.lstsq(a, b, rcond=-1)
969        if m <= n:
970>           assert_almost_equal(b, dot(a, x))
971
972a          = array([[1., 2., 3.],
973       [3., 4., 6.]], dtype=float32)
974arr        = array([[1., 2., 3.],
975       [3., 4., 6.]], dtype=float32)
976b          = array([2., 1.], dtype=float32)
977m          = 2
978n          = 3
979rank       = 0
980residuals  = array([], dtype=float32)
981s          = array([8.650218  , 0.41681626], dtype=float32)
982self       = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10e52f470>
983sv         = array([-1.0533684e-03, -7.4266063e-05], dtype=float32)
984tags       = frozenset({'nonsquare'})
985u          = array([[-0.4303583 , -0.90265816],
986       [-0.90265816,  0.4303583 ]], dtype=float32)
987vt         = array([[-0.3628039 , -0.51690596, -0.775359  ],
988       [ 0.9318655 , -0.2012474 , -0.3018711 ]], dtype=float32)
989x          = array([1., 1., 1.], dtype=float32)
990
991/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:887:
992_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
993
994a = array([2., 1.], dtype=float32), b = array([ 6., 13.], dtype=float32), single_decimal = 6, double_decimal = 12, kw = {}, decimal = 6
995
996    def assert_almost_equal(a, b, single_decimal=6, double_decimal=12, **kw):
997        if asarray(a).dtype.type in (single, csingle):
998            decimal = single_decimal
999        else:
1000            decimal = double_decimal
1001>       old_assert_almost_equal(a, b, decimal=decimal, **kw)
1002
1003a          = array([2., 1.], dtype=float32)
1004b          = array([ 6., 13.], dtype=float32)
1005decimal    = 6
1006double_decimal = 12
1007kw         = {}
1008single_decimal = 6
1009
1010/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:41:
1011_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1012
1013actual = array([2., 1.], dtype=float32), desired = array([ 6., 13.], dtype=float32), decimal = 6, err_msg = '', verbose = True
1014
1015    def assert_almost_equal(actual,desired,decimal=7,err_msg='',verbose=True):
1016        """
1017        Raises an AssertionError if two items are not equal up to desired
1018        precision.
1019   
1020        .. note:: It is recommended to use one of `assert_allclose`,
1021                  `assert_array_almost_equal_nulp` or `assert_array_max_ulp`
1022                  instead of this function for more consistent floating point
1023                  comparisons.
1024   
1025        The test verifies that the elements of ``actual`` and ``desired`` satisfy.
1026   
1027            ``abs(desired-actual) < 1.5 * 10**(-decimal)``
1028   
1029        That is a looser test than originally documented, but agrees with what the
1030        actual implementation in `assert_array_almost_equal` did up to rounding
1031        vagaries. An exception is raised at conflicting values. For ndarrays this
1032        delegates to assert_array_almost_equal
1033   
1034        Parameters
1035        ----------
1036        actual : array_like
1037            The object to check.
1038        desired : array_like
1039            The expected object.
1040        decimal : int, optional
1041            Desired precision, default is 7.
1042        err_msg : str, optional
1043            The error message to be printed in case of failure.
1044        verbose : bool, optional
1045            If True, the conflicting values are appended to the error message.
1046   
1047        Raises
1048        ------
1049        AssertionError
1050          If actual and desired are not equal up to specified precision.
1051   
1052        See Also
1053        --------
1054        assert_allclose: Compare two array_like objects for equality with desired
1055                         relative and/or absolute precision.
1056        assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal
1057   
1058        Examples
1059        --------
1060        >>> import numpy.testing as npt
1061        >>> npt.assert_almost_equal(2.3333333333333, 2.33333334)
1062        >>> npt.assert_almost_equal(2.3333333333333, 2.33333334, decimal=10)
1063        ...
1064        <type 'exceptions.AssertionError'>:
1065        Items are not equal:
1066         ACTUAL: 2.3333333333333002
1067         DESIRED: 2.3333333399999998
1068   
1069        >>> npt.assert_almost_equal(np.array([1.0,2.3333333333333]),
1070        ...                         np.array([1.0,2.33333334]), decimal=9)
1071        ...
1072        <type 'exceptions.AssertionError'>:
1073        Arrays are not almost equal
1074        <BLANKLINE>
1075        (mismatch 50.0%)
1076         x: array([ 1.        ,  2.33333333])
1077         y: array([ 1.        ,  2.33333334])
1078   
1079        """
1080        __tracebackhide__ = True  # Hide traceback for py.test
1081        from numpy.core import ndarray
1082        from numpy.lib import iscomplexobj, real, imag
1083   
1084        # Handle complex numbers: separate into real/imag to handle
1085        # nan/inf/negative zero correctly
1086        # XXX: catch ValueError for subclasses of ndarray where iscomplex fail
1087        try:
1088            usecomplex = iscomplexobj(actual) or iscomplexobj(desired)
1089        except ValueError:
1090            usecomplex = False
1091   
1092        def _build_err_msg():
1093            header = ('Arrays are not almost equal to %d decimals' % decimal)
1094            return build_err_msg([actual, desired], err_msg, verbose=verbose,
1095                                 header=header)
1096   
1097        if usecomplex:
1098            if iscomplexobj(actual):
1099                actualr = real(actual)
1100                actuali = imag(actual)
1101            else:
1102                actualr = actual
1103                actuali = 0
1104            if iscomplexobj(desired):
1105                desiredr = real(desired)
1106                desiredi = imag(desired)
1107            else:
1108                desiredr = desired
1109                desiredi = 0
1110            try:
1111                assert_almost_equal(actualr, desiredr, decimal=decimal)
1112                assert_almost_equal(actuali, desiredi, decimal=decimal)
1113            except AssertionError:
1114                raise AssertionError(_build_err_msg())
1115   
1116        if isinstance(actual, (ndarray, tuple, list)) \
1117                or isinstance(desired, (ndarray, tuple, list)):
1118>           return assert_array_almost_equal(actual, desired, decimal, err_msg)
1119
1120__tracebackhide__ = True
1121_build_err_msg = <function assert_almost_equal.<locals>._build_err_msg at 0x10e33a048>
1122actual     = array([2., 1.], dtype=float32)
1123decimal    = 6
1124desired    = array([ 6., 13.], dtype=float32)
1125err_msg    = ''
1126imag       = <function imag at 0x103d8f620>
1127iscomplexobj = <function iscomplexobj at 0x103d8f7b8>
1128ndarray    = <class 'numpy.ndarray'>
1129real       = <function real at 0x103d8f598>
1130usecomplex = False
1131verbose    = True
1132
1133/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py:568:
1134_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1135
1136x = array([2., 1.], dtype=float32), y = array([ 6., 13.], dtype=float32), decimal = 6, err_msg = '', verbose = True
1137
1138    def assert_array_almost_equal(x, y, decimal=6, err_msg='', verbose=True):
1139        """
1140        Raises an AssertionError if two objects are not equal up to desired
1141        precision.
1142   
1143        .. note:: It is recommended to use one of `assert_allclose`,
1144                  `assert_array_almost_equal_nulp` or `assert_array_max_ulp`
1145                  instead of this function for more consistent floating point
1146                  comparisons.
1147   
1148        The test verifies identical shapes and that the elements of ``actual`` and
1149        ``desired`` satisfy.
1150   
1151            ``abs(desired-actual) < 1.5 * 10**(-decimal)``
1152   
1153        That is a looser test than originally documented, but agrees with what the
1154        actual implementation did up to rounding vagaries. An exception is raised
1155        at shape mismatch or conflicting values. In contrast to the standard usage
1156        in numpy, NaNs are compared like numbers, no assertion is raised if both
1157        objects have NaNs in the same positions.
1158   
1159        Parameters
1160        ----------
1161        x : array_like
1162            The actual object to check.
1163        y : array_like
1164            The desired, expected object.
1165        decimal : int, optional
1166            Desired precision, default is 6.
1167        err_msg : str, optional
1168          The error message to be printed in case of failure.
1169        verbose : bool, optional
1170            If True, the conflicting values are appended to the error message.
1171   
1172        Raises
1173        ------
1174        AssertionError
1175            If actual and desired are not equal up to specified precision.
1176   
1177        See Also
1178        --------
1179        assert_allclose: Compare two array_like objects for equality with desired
1180                         relative and/or absolute precision.
1181        assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal
1182   
1183        Examples
1184        --------
1185        the first assert does not raise an exception
1186   
1187        >>> np.testing.assert_array_almost_equal([1.0,2.333,np.nan],
1188                                                 [1.0,2.333,np.nan])
1189   
1190        >>> np.testing.assert_array_almost_equal([1.0,2.33333,np.nan],
1191        ...                                      [1.0,2.33339,np.nan], decimal=5)
1192        ...
1193        <type 'exceptions.AssertionError'>:
1194        AssertionError:
1195        Arrays are not almost equal
1196        <BLANKLINE>
1197        (mismatch 50.0%)
1198         x: array([ 1.     ,  2.33333,      NaN])
1199         y: array([ 1.     ,  2.33339,      NaN])
1200   
1201        >>> np.testing.assert_array_almost_equal([1.0,2.33333,np.nan],
1202        ...                                      [1.0,2.33333, 5], decimal=5)
1203        <type 'exceptions.ValueError'>:
1204        ValueError:
1205        Arrays are not almost equal
1206         x: array([ 1.     ,  2.33333,      NaN])
1207         y: array([ 1.     ,  2.33333,  5.     ])
1208   
1209        """
1210        __tracebackhide__ = True  # Hide traceback for py.test
1211        from numpy.core import around, number, float_, result_type, array
1212        from numpy.core.numerictypes import issubdtype
1213        from numpy.core.fromnumeric import any as npany
1214   
1215        def compare(x, y):
1216            try:
1217                if npany(gisinf(x)) or npany( gisinf(y)):
1218                    xinfid = gisinf(x)
1219                    yinfid = gisinf(y)
1220                    if not (xinfid == yinfid).all():
1221                        return False
1222                    # if one item, x and y is +- inf
1223                    if x.size == y.size == 1:
1224                        return x == y
1225                    x = x[~xinfid]
1226                    y = y[~yinfid]
1227            except (TypeError, NotImplementedError):
1228                pass
1229   
1230            # make sure y is an inexact type to avoid abs(MIN_INT); will cause
1231            # casting of x later.
1232            dtype = result_type(y, 1.)
1233            y = array(y, dtype=dtype, copy=False, subok=True)
1234            z = abs(x - y)
1235   
1236            if not issubdtype(z.dtype, number):
1237                z = z.astype(float_)  # handle object arrays
1238   
1239            return z < 1.5 * 10.0**(-decimal)
1240   
1241        assert_array_compare(compare, x, y, err_msg=err_msg, verbose=verbose,
1242                 header=('Arrays are not almost equal to %d decimals' % decimal),
1243>                precision=decimal)
1244
1245__tracebackhide__ = True
1246around     = <function around at 0x10385c8c8>
1247array      = <built-in function array>
1248compare    = <function assert_array_almost_equal.<locals>.compare at 0x10e33a0d0>
1249decimal    = 6
1250err_msg    = ''
1251float_     = <class 'numpy.float64'>
1252issubdtype = <function issubdtype at 0x10371cae8>
1253npany      = <function any at 0x10385c2f0>
1254number     = <class 'numpy.number'>
1255result_type = <built-in function result_type>
1256verbose    = True
1257x          = array([2., 1.], dtype=float32)
1258y          = array([ 6., 13.], dtype=float32)
1259
1260/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py:964:
1261_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1262
1263comparison = <function assert_array_almost_equal.<locals>.compare at 0x10e33a0d0>, x = array([2., 1.], dtype=float32), y = array([ 6., 13.], dtype=float32), err_msg = '', verbose = True
1264header = 'Arrays are not almost equal to 6 decimals', precision = 6, equal_nan = True, equal_inf = True
1265
1266    def assert_array_compare(comparison, x, y, err_msg='', verbose=True,
1267                             header='', precision=6, equal_nan=True,
1268                             equal_inf=True):
1269        __tracebackhide__ = True  # Hide traceback for py.test
1270        from numpy.core import array, isnan, inf, bool_
1271        x = array(x, copy=False, subok=True)
1272        y = array(y, copy=False, subok=True)
1273   
1274        def isnumber(x):
1275            return x.dtype.char in '?bhilqpBHILQPefdgFDG'
1276   
1277        def istime(x):
1278            return x.dtype.char in "Mm"
1279   
1280        def func_assert_same_pos(x, y, func=isnan, hasval='nan'):
1281            """Handling nan/inf: combine results of running func on x and y,
1282            checking that they are True at the same locations."""
1283            # Both the != True comparison here and the cast to bool_ at
1284            # the end are done to deal with `masked`, which cannot be
1285            # compared usefully, and for which .all() yields masked.
1286            x_id = func(x)
1287            y_id = func(y)
1288            if (x_id == y_id).all() != True:
1289                msg = build_err_msg([x, y],
1290                                    err_msg + '\nx and y %s location mismatch:'
1291                                    % (hasval), verbose=verbose, header=header,
1292                                    names=('x', 'y'), precision=precision)
1293                raise AssertionError(msg)
1294            # If there is a scalar, then here we know the array has the same
1295            # flag as it everywhere, so we should return the scalar flag.
1296            if x_id.ndim == 0:
1297                return bool_(x_id)
1298            elif y_id.ndim == 0:
1299                return bool_(y_id)
1300            else:
1301                return y_id
1302   
1303        try:
1304            cond = (x.shape == () or y.shape == ()) or x.shape == y.shape
1305            if not cond:
1306                msg = build_err_msg([x, y],
1307                                    err_msg
1308                                    + '\n(shapes %s, %s mismatch)' % (x.shape,
1309                                                                      y.shape),
1310                                    verbose=verbose, header=header,
1311                                    names=('x', 'y'), precision=precision)
1312                raise AssertionError(msg)
1313   
1314            flagged = bool_(False)
1315            if isnumber(x) and isnumber(y):
1316                if equal_nan:
1317                    flagged = func_assert_same_pos(x, y, func=isnan, hasval='nan')
1318   
1319                if equal_inf:
1320                    flagged |= func_assert_same_pos(x, y,
1321                                                    func=lambda xy: xy == +inf,
1322                                                    hasval='+inf')
1323                    flagged |= func_assert_same_pos(x, y,
1324                                                    func=lambda xy: xy == -inf,
1325                                                    hasval='-inf')
1326   
1327            elif istime(x) and istime(y):
1328                # If one is datetime64 and the other timedelta64 there is no point
1329                if equal_nan and x.dtype.type == y.dtype.type:
1330                    flagged = func_assert_same_pos(x, y, func=isnat, hasval="NaT")
1331   
1332            if flagged.ndim > 0:
1333                x, y = x[~flagged], y[~flagged]
1334                # Only do the comparison if actual values are left
1335                if x.size == 0:
1336                    return
1337            elif flagged:
1338                # no sense doing comparison if everything is flagged.
1339                return
1340   
1341            val = comparison(x, y)
1342   
1343            if isinstance(val, bool):
1344                cond = val
1345                reduced = [0]
1346            else:
1347                reduced = val.ravel()
1348                cond = reduced.all()
1349                reduced = reduced.tolist()
1350            # The below comparison is a hack to ensure that fully masked
1351            # results, for which val.ravel().all() returns np.ma.masked,
1352            # do not trigger a failure (np.ma.masked != True evaluates as
1353            # np.ma.masked, which is falsy).
1354            if cond != True:
1355                match = 100-100.0*reduced.count(1)/len(reduced)
1356                msg = build_err_msg([x, y],
1357                                    err_msg
1358                                    + '\n(mismatch %s%%)' % (match,),
1359                                    verbose=verbose, header=header,
1360                                    names=('x', 'y'), precision=precision)
1361>               raise AssertionError(msg)
1362E               AssertionError:
1363E               Arrays are not almost equal to 6 decimals
1364E               
1365E               (mismatch 100.0%)
1366E                x: array([2., 1.], dtype=float32)
1367E                y: array([ 6., 13.], dtype=float32)
1368
1369__tracebackhide__ = True
1370array      = <built-in function array>
1371bool_      = <class 'numpy.bool_'>
1372comparison = <function assert_array_almost_equal.<locals>.compare at 0x10e33a0d0>
1373cond       = False
1374equal_inf  = True
1375equal_nan  = True
1376err_msg    = ''
1377flagged    = array([False, False])
1378func_assert_same_pos = <function assert_array_compare.<locals>.func_assert_same_pos at 0x10e33a268>
1379header     = 'Arrays are not almost equal to 6 decimals'
1380inf        = inf
1381isnan      = <ufunc 'isnan'>
1382isnumber   = <function assert_array_compare.<locals>.isnumber at 0x10e33a158>
1383istime     = <function assert_array_compare.<locals>.istime at 0x10e33a1e0>
1384match      = 100.0
1385msg        = '\nArrays are not almost equal to 6 decimals\n\n(mismatch 100.0%)\n x: array([2., 1.], dtype=float32)\n y: array([ 6., 13.], dtype=float32)'
1386precision  = 6
1387reduced    = [False, False]
1388val        = array([False, False])
1389verbose    = True
1390x          = array([2., 1.], dtype=float32)
1391y          = array([ 6., 13.], dtype=float32)
1392
1393/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py:780: AssertionError
1394
1395During handling of the above exception, another exception occurred:
1396
1397self = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10e52f470>
1398
1399    def test_nonsq_cases(self):
1400        self.check_cases(require={'nonsquare'},
1401>                        exclude={'generalized', 'size-0'})
1402
1403self       = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10e52f470>
1404
1405/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:372:
1406_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1407
1408self = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10e52f470>, require = {'nonsquare'}, exclude = {'generalized', 'size-0'}
1409
1410    def check_cases(self, require=set(), exclude=set()):
1411        """
1412            Run func on each of the cases with all of the tags in require, and none
1413            of the tags in exclude
1414            """
1415        for case in self.TEST_CASES:
1416            # filter by require and exclude
1417            if case.tags & require != require:
1418                continue
1419            if case.tags & exclude:
1420                continue
1421   
1422            try:
1423                case.check(self.do)
1424            except Exception:
1425                msg = "In test case: %r\n\n" % case
1426                msg += traceback.format_exc()
1427>               raise AssertionError(msg)
1428E               AssertionError: In test case: <LinalgCase: single_nsq_1>
1429E               
1430E               Traceback (most recent call last):
1431E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py", line 350, in check_cases
1432E                   case.check(self.do)
1433E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py", line 85, in check
1434E                   do(self.a, self.b, tags=self.tags)
1435E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py", line 887, in do
1436E                   assert_almost_equal(b, dot(a, x))
1437E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py", line 41, in assert_almost_equal
1438E                   old_assert_almost_equal(a, b, decimal=decimal, **kw)
1439E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py", line 568, in assert_almost_equal
1440E                   return assert_array_almost_equal(actual, desired, decimal, err_msg)
1441E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py", line 964, in assert_array_almost_equal
1442E                   precision=decimal)
1443E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py", line 780, in assert_array_compare
1444E                   raise AssertionError(msg)
1445E               AssertionError:
1446E               Arrays are not almost equal to 6 decimals
1447E               
1448E               (mismatch 100.0%)
1449E                x: array([2., 1.], dtype=float32)
1450E                y: array([ 6., 13.], dtype=float32)
1451
1452case       = <LinalgCase: single_nsq_1>
1453exclude    = {'generalized', 'size-0'}
1454msg        = 'In test case: <LinalgCase: single_nsq_1>\n\nTraceback (most recent call last):\n  File "/opt/local/Library/Frameworks...t equal to 6 decimals\n\n(mismatch 100.0%)\n x: array([2., 1.], dtype=float32)\n y: array([ 6., 13.], dtype=float32)\n'
1455require    = {'nonsquare'}
1456self       = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10e52f470>
1457
1458/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:354: AssertionError
1459------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
1460Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438804480) failed (error code=3)
1461*** error: can't allocate region
1462*** set a breakpoint in malloc_error_break to debug
1463init_dgelsd failed init
1464________________________________________________________________________________________ TestLstsq.test_future_rcond ________________________________________________________________________________________
1465
1466self = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10b0b50f0>
1467
1468    def test_future_rcond(self):
1469        a = np.array([[0., 1.,  0.,  1.,  2.,  0.],
1470                      [0., 2.,  0.,  0.,  1.,  0.],
1471                      [1., 0.,  1.,  0.,  0.,  4.],
1472                      [0., 0.,  0.,  2.,  3.,  0.]]).T
1473   
1474        b = np.array([1, 0, 0, 0, 0, 0])
1475        with suppress_warnings() as sup:
1476            w = sup.record(FutureWarning, "`rcond` parameter will change")
1477            x, residuals, rank, s = linalg.lstsq(a, b)
1478>           assert_(rank == 4)
1479E           AssertionError
1480
1481a          = array([[0., 0., 1., 0.],
1482       [1., 2., 0., 0.],
1483       [0., 0., 1., 0.],
1484       [1., 0., 0., 2.],
1485       [2., 1., 0., 3.],
1486       [0., 0., 4., 0.]])
1487b          = array([1, 0, 0, 0, 0, 0])
1488rank       = 1095761920
1489residuals  = array([], dtype=float64)
1490s          = array([-0.40455358, -0.9145143 , -0.9145143 ,  0.40455358])
1491self       = <numpy.linalg.tests.test_linalg.TestLstsq object at 0x10b0b50f0>
1492sup        = <numpy.testing._private.utils.suppress_warnings object at 0x10b0b5a20>
1493w          = [<warnings.WarningMessage object at 0x10b0b5ac8>]
1494x          = array([-0.43035828, -0.90265816, -0.90265816,  0.43035828])
1495
1496/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:918: AssertionError
1497------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
1498Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438816768) failed (error code=3)
1499*** error: can't allocate region
1500*** set a breakpoint in malloc_error_break to debug
1501init_dgelsd failed init
1502________________________________________________________________________________________ TestPolynomial.test_polyfit ________________________________________________________________________________________
1503
1504self = <numpy.ma.tests.test_extras.TestPolynomial object at 0x10e6b0c50>
1505
1506    def test_polyfit(self):
1507        # Tests polyfit
1508        # On ndarrays
1509        x = np.random.rand(10)
1510        y = np.random.rand(20).reshape(-1, 2)
1511        assert_almost_equal(polyfit(x, y, 3), np.polyfit(x, y, 3))
1512        # ON 1D maskedarrays
1513        x = x.view(MaskedArray)
1514        x[0] = masked
1515        y = y.view(MaskedArray)
1516        y[0, 0] = y[-1, -1] = masked
1517        #
1518        (C, R, K, S, D) = polyfit(x, y[:, 0], 3, full=True)
1519        (c, r, k, s, d) = np.polyfit(x[1:], y[1:, 0].compressed(), 3,
1520                                     full=True)
1521        for (a, a_) in zip((C, R, K, S, D), (c, r, k, s, d)):
1522>           assert_almost_equal(a, a_)
1523
1524C          = array([1.10107647, 1.33707346, 1.75813242, 3.        ])
1525D          = 1.9984014443252818e-15
1526K          = 16843009
1527R          = array([], dtype=float64)
1528S          = array([1.       , 0.5034478, 0.5034478, 1.       ])
1529a          = array([1.       , 0.5034478, 0.5034478, 1.       ])
1530a_         = array([0., 0., 0., 0.])
1531c          = array([1.10107647, 1.33707346, 1.75813242, 3.        ])
1532d          = 1.9984014443252818e-15
1533k          = 16843009
1534r          = array([], dtype=float64)
1535s          = array([0., 0., 0., 0.])
1536self       = <numpy.ma.tests.test_extras.TestPolynomial object at 0x10e6b0c50>
1537x          = masked_array(data=[--, 0.9241423902691124, 0.5615918401132496,
1538                   0.25356523046838064, 0.4678691307098...ask=[ True, False, False, False, False, False, False, False,
1539                   False, False],
1540       fill_value=1e+20)
1541y          = masked_array(
1542  data=[[--, 0.07553868406697983],
1543        [0.5637507914837855, 0.9932431418933281],
1544        [0.94514463...],
1545        [False, False],
1546        [False, False],
1547        [False, False],
1548        [False,  True]],
1549  fill_value=1e+20)
1550
1551/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/ma/tests/test_extras.py:1272:
1552_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1553/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/ma/testutils.py:187: in assert_almost_equal
1554    err_msg=err_msg, verbose=verbose)
1555/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/ma/testutils.py:268: in assert_array_almost_equal
1556    header='Arrays are not almost equal')
1557_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1558
1559comparison = <function assert_array_almost_equal.<locals>.compare at 0x10d9f8598>, x = masked_array(data=[1.       , 0.5034478, 0.5034478, 1.       ],
1560             mask=False,
1561       fill_value=1e+20)
1562y = masked_array(data=[0., 0., 0., 0.],
1563             mask=False,
1564       fill_value=1e+20), err_msg = '', verbose = True, header = 'Arrays are not almost equal', fill_value = True
1565
1566    def assert_array_compare(comparison, x, y, err_msg='', verbose=True, header='',
1567                             fill_value=True):
1568        """
1569        Asserts that comparison between two masked arrays is satisfied.
1570   
1571        The comparison is elementwise.
1572   
1573        """
1574        # Allocate a common mask and refill
1575        m = mask_or(getmask(x), getmask(y))
1576        x = masked_array(x, copy=False, mask=m, keep_mask=False, subok=False)
1577        y = masked_array(y, copy=False, mask=m, keep_mask=False, subok=False)
1578        if ((x is masked) and not (y is masked)) or \
1579                ((y is masked) and not (x is masked)):
1580            msg = build_err_msg([x, y], err_msg=err_msg, verbose=verbose,
1581                                header=header, names=('x', 'y'))
1582            raise ValueError(msg)
1583        # OK, now run the basic tests on filled versions
1584        return np.testing.assert_array_compare(comparison,
1585                                               x.filled(fill_value),
1586                                               y.filled(fill_value),
1587                                               err_msg=err_msg,
1588>                                              verbose=verbose, header=header)
1589E       AssertionError:
1590E       Arrays are not almost equal
1591E       
1592E       (mismatch 100.0%)
1593E        x: array([1.      , 0.503448, 0.503448, 1.      ])
1594E        y: array([0., 0., 0., 0.])
1595
1596comparison = <function assert_array_almost_equal.<locals>.compare at 0x10d9f8598>
1597err_msg    = ''
1598fill_value = True
1599header     = 'Arrays are not almost equal'
1600m          = False
1601verbose    = True
1602x          = masked_array(data=[1.       , 0.5034478, 0.5034478, 1.       ],
1603             mask=False,
1604       fill_value=1e+20)
1605y          = masked_array(data=[0., 0., 0., 0.],
1606             mask=False,
1607       fill_value=1e+20)
1608
1609/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/ma/testutils.py:219: AssertionError
1610------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
1611Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438808576) failed (error code=3)
1612*** error: can't allocate region
1613*** set a breakpoint in malloc_error_break to debug
1614init_dgelsd failed init
1615Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438812672) failed (error code=3)
1616*** error: can't allocate region
1617*** set a breakpoint in malloc_error_break to debug
1618init_dgelsd failed init
1619Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438808576) failed (error code=3)
1620*** error: can't allocate region
1621*** set a breakpoint in malloc_error_break to debug
1622init_dgelsd failed init
1623Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438812672) failed (error code=3)
1624*** error: can't allocate region
1625*** set a breakpoint in malloc_error_break to debug
1626init_dgelsd failed init
1627_______________________________________________________________________________ TestPolynomial.test_polyfit_with_masked_NaNs ________________________________________________________________________________
1628
1629self = <numpy.ma.tests.test_extras.TestPolynomial object at 0x10ea492e8>
1630
1631    def test_polyfit_with_masked_NaNs(self):
1632        x = np.random.rand(10)
1633        y = np.random.rand(20).reshape(-1, 2)
1634   
1635        x[0] = np.nan
1636        y[-1,-1] = np.nan
1637        x = x.view(MaskedArray)
1638        y = y.view(MaskedArray)
1639        x[0] = masked
1640        y[-1,-1] = masked
1641   
1642        (C, R, K, S, D) = polyfit(x, y, 3, full=True)
1643        (c, r, k, s, d) = np.polyfit(x[1:-1], y[1:-1,:], 3, full=True)
1644        for (a, a_) in zip((C, R, K, S, D), (c, r, k, s, d)):
1645>           assert_almost_equal(a, a_)
1646
1647C          = array([[ 0.10055815,  0.10049137],
1648       [-0.01941448, -0.11460321],
1649       [ 0.07912554, -0.01445208],
1650       [-0.0267252 ,  0.03503432]])
1651D          = 1.7763568394002505e-15
1652K          = 0
1653R          = array([], dtype=float64)
1654S          = array([1.56110891, 2.31229114, 3.77085666, 8.        ])
1655a          = array([[ 0.10055815,  0.10049137],
1656       [-0.01941448, -0.11460321],
1657       [ 0.07912554, -0.01445208],
1658       [-0.0267252 ,  0.03503432]])
1659a_         = array([[0.24052139, 0.61934872],
1660       [0.25971278, 0.5234543 ],
1661       [0.4704521 , 0.24757803],
1662       [0.25471504, 0.29736637]])
1663c          = array([[0.24052139, 0.61934872],
1664       [0.25971278, 0.5234543 ],
1665       [0.4704521 , 0.24757803],
1666       [0.25471504, 0.29736637]])
1667d          = 1.7763568394002505e-15
1668k          = 0
1669r          = array([], dtype=float64)
1670s          = array([1.56110891, 2.31229114, 3.77085666, 8.        ])
1671self       = <numpy.ma.tests.test_extras.TestPolynomial object at 0x10ea492e8>
1672x          = masked_array(data=[--, 0.3005178781983737, 0.7738411999597311,
1673                   0.3949249488730213, 0.79597610287801...ask=[ True, False, False, False, False, False, False, False,
1674                   False, False],
1675       fill_value=1e+20)
1676y          = masked_array(
1677  data=[[0.37568931468158495, 0.16236135212063585],
1678        [0.4371055455264542, 0.20680234608690984],
1679 ...],
1680        [False, False],
1681        [False, False],
1682        [False, False],
1683        [False,  True]],
1684  fill_value=1e+20)
1685
1686/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/ma/tests/test_extras.py:1309:
1687_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1688/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/ma/testutils.py:187: in assert_almost_equal
1689    err_msg=err_msg, verbose=verbose)
1690/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/ma/testutils.py:268: in assert_array_almost_equal
1691    header='Arrays are not almost equal')
1692_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1693
1694comparison = <function assert_array_almost_equal.<locals>.compare at 0x10d9ce730>
1695x = masked_array(
1696  data=[[ 0.10055815,  0.10049137],
1697        [-0.01941448, -0.11460321],
1698        [ 0.07912554, -0.01445208],
1699        [-0.0267252 ,  0.03503432]],
1700  mask=False,
1701  fill_value=1e+20)
1702y = masked_array(
1703  data=[[0.24052139, 0.61934872],
1704        [0.25971278, 0.5234543 ],
1705        [0.4704521 , 0.24757803],
1706        [0.25471504, 0.29736637]],
1707  mask=False,
1708  fill_value=1e+20), err_msg = ''
1709verbose = True, header = 'Arrays are not almost equal', fill_value = True
1710
1711    def assert_array_compare(comparison, x, y, err_msg='', verbose=True, header='',
1712                             fill_value=True):
1713        """
1714        Asserts that comparison between two masked arrays is satisfied.
1715   
1716        The comparison is elementwise.
1717   
1718        """
1719        # Allocate a common mask and refill
1720        m = mask_or(getmask(x), getmask(y))
1721        x = masked_array(x, copy=False, mask=m, keep_mask=False, subok=False)
1722        y = masked_array(y, copy=False, mask=m, keep_mask=False, subok=False)
1723        if ((x is masked) and not (y is masked)) or \
1724                ((y is masked) and not (x is masked)):
1725            msg = build_err_msg([x, y], err_msg=err_msg, verbose=verbose,
1726                                header=header, names=('x', 'y'))
1727            raise ValueError(msg)
1728        # OK, now run the basic tests on filled versions
1729        return np.testing.assert_array_compare(comparison,
1730                                               x.filled(fill_value),
1731                                               y.filled(fill_value),
1732                                               err_msg=err_msg,
1733>                                              verbose=verbose, header=header)
1734E       AssertionError:
1735E       Arrays are not almost equal
1736E       
1737E       (mismatch 100.0%)
1738E        x: array([ 0.100558,  0.100491, -0.019414, -0.114603,  0.079126, -0.014452,
1739E              -0.026725,  0.035034])
1740E        y: array([0.240521, 0.619349, 0.259713, 0.523454, 0.470452, 0.247578,
1741E              0.254715, 0.297366])
1742
1743comparison = <function assert_array_almost_equal.<locals>.compare at 0x10d9ce730>
1744err_msg    = ''
1745fill_value = True
1746header     = 'Arrays are not almost equal'
1747m          = False
1748verbose    = True
1749x          = masked_array(
1750  data=[[ 0.10055815,  0.10049137],
1751        [-0.01941448, -0.11460321],
1752        [ 0.07912554, -0.01445208],
1753        [-0.0267252 ,  0.03503432]],
1754  mask=False,
1755  fill_value=1e+20)
1756y          = masked_array(
1757  data=[[0.24052139, 0.61934872],
1758        [0.25971278, 0.5234543 ],
1759        [0.4704521 , 0.24757803],
1760        [0.25471504, 0.29736637]],
1761  mask=False,
1762  fill_value=1e+20)
1763
1764/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/ma/testutils.py:219: AssertionError
1765------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
1766Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438808576) failed (error code=3)
1767*** error: can't allocate region
1768*** set a breakpoint in malloc_error_break to debug
1769init_dgelsd failed init
1770Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438812672) failed (error code=3)
1771*** error: can't allocate region
1772*** set a breakpoint in malloc_error_break to debug
1773init_dgelsd failed init
1774_______________________________________________________________________________________ TestLstsqMatrix.test_sq_cases _______________________________________________________________________________________
1775
1776self = <numpy.matrixlib.tests.test_matrix_linalg.TestLstsqMatrix object at 0x10d8f7898>, require = {'square'}, exclude = {'generalized', 'size-0'}
1777
1778    def check_cases(self, require=set(), exclude=set()):
1779        """
1780            Run func on each of the cases with all of the tags in require, and none
1781            of the tags in exclude
1782            """
1783        for case in self.TEST_CASES:
1784            # filter by require and exclude
1785            if case.tags & require != require:
1786                continue
1787            if case.tags & exclude:
1788                continue
1789   
1790            try:
1791>               case.check(self.do)
1792
1793case       = <LinalgCase: matrix_b_only>
1794exclude    = {'generalized', 'size-0'}
1795msg        = 'In test case: <LinalgCase: matrix_b_only>\n\nTraceback (most recent call last):\n  File "/opt/local/Library/Framework...o 12 decimals\n\n(mismatch 100.0%)\n x: matrix([[2., 1.]])\n y: matrix([[4.475004438720e-154, 1.044167702368e-153]])\n'
1796require    = {'square'}
1797self       = <numpy.matrixlib.tests.test_matrix_linalg.TestLstsqMatrix object at 0x10d8f7898>
1798
1799/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:350:
1800_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1801
1802self = <LinalgCase: matrix_b_only>, do = <bound method LstsqCases.do of <numpy.matrixlib.tests.test_matrix_linalg.TestLstsqMatrix object at 0x10d8f7898>>
1803
1804    def check(self, do):
1805        """
1806            Run the function `do` on this test case, expanding arguments
1807            """
1808>       do(self.a, self.b, tags=self.tags)
1809
1810do         = <bound method LstsqCases.do of <numpy.matrixlib.tests.test_matrix_linalg.TestLstsqMatrix object at 0x10d8f7898>>
1811self       = <LinalgCase: matrix_b_only>
1812
1813/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:85:
1814_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1815
1816self = <numpy.matrixlib.tests.test_matrix_linalg.TestLstsqMatrix object at 0x10d8f7898>, a = array([[1., 2.],
1817       [3., 4.]]), b = matrix([[2.],
1818        [1.]]), tags = frozenset({'square'})
1819
1820    def do(self, a, b, tags):
1821        if 'size-0' in tags:
1822            assert_raises(LinAlgError, linalg.lstsq, a, b)
1823            return
1824   
1825        arr = np.asarray(a)
1826        m, n = arr.shape
1827        u, s, vt = linalg.svd(a, 0)
1828        x, residuals, rank, sv = linalg.lstsq(a, b, rcond=-1)
1829        if m <= n:
1830>           assert_almost_equal(b, dot(a, x))
1831
1832a          = array([[1., 2.],
1833       [3., 4.]])
1834arr        = array([[1., 2.],
1835       [3., 4.]])
1836b          = matrix([[2.],
1837        [1.]])
1838m          = 2
1839n          = 2
1840rank       = 16843009
1841residuals  = matrix([], shape=(1, 0), dtype=float64)
1842s          = array([5.4649857 , 0.36596619])
1843self       = <numpy.matrixlib.tests.test_matrix_linalg.TestLstsqMatrix object at 0x10d8f7898>
1844sv         = array([1.49166815e-154, 1.49166815e-154])
1845tags       = frozenset({'square'})
1846u          = array([[-0.40455358, -0.9145143 ],
1847       [-0.9145143 ,  0.40455358]])
1848vt         = array([[-0.57604844, -0.81741556],
1849       [ 0.81741556, -0.57604844]])
1850x          = matrix([[1.49166815e-154],
1851        [1.49166815e-154]])
1852
1853/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:887:
1854_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1855
1856a = matrix([[2.],
1857        [1.]]), b = matrix([[4.47500444e-154],
1858        [1.04416770e-153]]), single_decimal = 6, double_decimal = 12, kw = {}, decimal = 12
1859
1860    def assert_almost_equal(a, b, single_decimal=6, double_decimal=12, **kw):
1861        if asarray(a).dtype.type in (single, csingle):
1862            decimal = single_decimal
1863        else:
1864            decimal = double_decimal
1865>       old_assert_almost_equal(a, b, decimal=decimal, **kw)
1866
1867a          = matrix([[2.],
1868        [1.]])
1869b          = matrix([[4.47500444e-154],
1870        [1.04416770e-153]])
1871decimal    = 12
1872double_decimal = 12
1873kw         = {}
1874single_decimal = 6
1875
1876/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:41:
1877_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
1878
1879actual = matrix([[2.],
1880        [1.]]), desired = matrix([[4.47500444e-154],
1881        [1.04416770e-153]]), decimal = 12, err_msg = '', verbose = True
1882
1883    def assert_almost_equal(actual,desired,decimal=7,err_msg='',verbose=True):
1884        """
1885        Raises an AssertionError if two items are not equal up to desired
1886        precision.
1887   
1888        .. note:: It is recommended to use one of `assert_allclose`,
1889                  `assert_array_almost_equal_nulp` or `assert_array_max_ulp`
1890                  instead of this function for more consistent floating point
1891                  comparisons.
1892   
1893        The test verifies that the elements of ``actual`` and ``desired`` satisfy.
1894   
1895            ``abs(desired-actual) < 1.5 * 10**(-decimal)``
1896   
1897        That is a looser test than originally documented, but agrees with what the
1898        actual implementation in `assert_array_almost_equal` did up to rounding
1899        vagaries. An exception is raised at conflicting values. For ndarrays this
1900        delegates to assert_array_almost_equal
1901   
1902        Parameters
1903        ----------
1904        actual : array_like
1905            The object to check.
1906        desired : array_like
1907            The expected object.
1908        decimal : int, optional
1909            Desired precision, default is 7.
1910        err_msg : str, optional
1911            The error message to be printed in case of failure.
1912        verbose : bool, optional
1913            If True, the conflicting values are appended to the error message.
1914   
1915        Raises
1916        ------
1917        AssertionError
1918          If actual and desired are not equal up to specified precision.
1919   
1920        See Also
1921        --------
1922        assert_allclose: Compare two array_like objects for equality with desired
1923                         relative and/or absolute precision.
1924        assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal
1925   
1926        Examples
1927        --------
1928        >>> import numpy.testing as npt
1929        >>> npt.assert_almost_equal(2.3333333333333, 2.33333334)
1930        >>> npt.assert_almost_equal(2.3333333333333, 2.33333334, decimal=10)
1931        ...
1932        <type 'exceptions.AssertionError'>:
1933        Items are not equal:
1934         ACTUAL: 2.3333333333333002
1935         DESIRED: 2.3333333399999998
1936   
1937        >>> npt.assert_almost_equal(np.array([1.0,2.3333333333333]),
1938        ...                         np.array([1.0,2.33333334]), decimal=9)
1939        ...
1940        <type 'exceptions.AssertionError'>:
1941        Arrays are not almost equal
1942        <BLANKLINE>
1943        (mismatch 50.0%)
1944         x: array([ 1.        ,  2.33333333])
1945         y: array([ 1.        ,  2.33333334])
1946   
1947        """
1948        __tracebackhide__ = True  # Hide traceback for py.test
1949        from numpy.core import ndarray
1950        from numpy.lib import iscomplexobj, real, imag
1951   
1952        # Handle complex numbers: separate into real/imag to handle
1953        # nan/inf/negative zero correctly
1954        # XXX: catch ValueError for subclasses of ndarray where iscomplex fail
1955        try:
1956            usecomplex = iscomplexobj(actual) or iscomplexobj(desired)
1957        except ValueError:
1958            usecomplex = False
1959   
1960        def _build_err_msg():
1961            header = ('Arrays are not almost equal to %d decimals' % decimal)
1962            return build_err_msg([actual, desired], err_msg, verbose=verbose,
1963                                 header=header)
1964   
1965        if usecomplex:
1966            if iscomplexobj(actual):
1967                actualr = real(actual)
1968                actuali = imag(actual)
1969            else:
1970                actualr = actual
1971                actuali = 0
1972            if iscomplexobj(desired):
1973                desiredr = real(desired)
1974                desiredi = imag(desired)
1975            else:
1976                desiredr = desired
1977                desiredi = 0
1978            try:
1979                assert_almost_equal(actualr, desiredr, decimal=decimal)
1980                assert_almost_equal(actuali, desiredi, decimal=decimal)
1981            except AssertionError:
1982                raise AssertionError(_build_err_msg())
1983   
1984        if isinstance(actual, (ndarray, tuple, list)) \
1985                or isinstance(desired, (ndarray, tuple, list)):
1986>           return assert_array_almost_equal(actual, desired, decimal, err_msg)
1987
1988__tracebackhide__ = True
1989_build_err_msg = <function assert_almost_equal.<locals>._build_err_msg at 0x10ea23048>
1990actual     = matrix([[2.],
1991        [1.]])
1992decimal    = 12
1993desired    = matrix([[4.47500444e-154],
1994        [1.04416770e-153]])
1995err_msg    = ''
1996imag       = <function imag at 0x103d8f620>
1997iscomplexobj = <function iscomplexobj at 0x103d8f7b8>
1998ndarray    = <class 'numpy.ndarray'>
1999real       = <function real at 0x103d8f598>
2000usecomplex = False
2001verbose    = True
2002
2003/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py:568:
2004_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
2005
2006x = matrix([[2.],
2007        [1.]]), y = matrix([[4.47500444e-154],
2008        [1.04416770e-153]]), decimal = 12, err_msg = '', verbose = True
2009
2010    def assert_array_almost_equal(x, y, decimal=6, err_msg='', verbose=True):
2011        """
2012        Raises an AssertionError if two objects are not equal up to desired
2013        precision.
2014   
2015        .. note:: It is recommended to use one of `assert_allclose`,
2016                  `assert_array_almost_equal_nulp` or `assert_array_max_ulp`
2017                  instead of this function for more consistent floating point
2018                  comparisons.
2019   
2020        The test verifies identical shapes and that the elements of ``actual`` and
2021        ``desired`` satisfy.
2022   
2023            ``abs(desired-actual) < 1.5 * 10**(-decimal)``
2024   
2025        That is a looser test than originally documented, but agrees with what the
2026        actual implementation did up to rounding vagaries. An exception is raised
2027        at shape mismatch or conflicting values. In contrast to the standard usage
2028        in numpy, NaNs are compared like numbers, no assertion is raised if both
2029        objects have NaNs in the same positions.
2030   
2031        Parameters
2032        ----------
2033        x : array_like
2034            The actual object to check.
2035        y : array_like
2036            The desired, expected object.
2037        decimal : int, optional
2038            Desired precision, default is 6.
2039        err_msg : str, optional
2040          The error message to be printed in case of failure.
2041        verbose : bool, optional
2042            If True, the conflicting values are appended to the error message.
2043   
2044        Raises
2045        ------
2046        AssertionError
2047            If actual and desired are not equal up to specified precision.
2048   
2049        See Also
2050        --------
2051        assert_allclose: Compare two array_like objects for equality with desired
2052                         relative and/or absolute precision.
2053        assert_array_almost_equal_nulp, assert_array_max_ulp, assert_equal
2054   
2055        Examples
2056        --------
2057        the first assert does not raise an exception
2058   
2059        >>> np.testing.assert_array_almost_equal([1.0,2.333,np.nan],
2060                                                 [1.0,2.333,np.nan])
2061   
2062        >>> np.testing.assert_array_almost_equal([1.0,2.33333,np.nan],
2063        ...                                      [1.0,2.33339,np.nan], decimal=5)
2064        ...
2065        <type 'exceptions.AssertionError'>:
2066        AssertionError:
2067        Arrays are not almost equal
2068        <BLANKLINE>
2069        (mismatch 50.0%)
2070         x: array([ 1.     ,  2.33333,      NaN])
2071         y: array([ 1.     ,  2.33339,      NaN])
2072   
2073        >>> np.testing.assert_array_almost_equal([1.0,2.33333,np.nan],
2074        ...                                      [1.0,2.33333, 5], decimal=5)
2075        <type 'exceptions.ValueError'>:
2076        ValueError:
2077        Arrays are not almost equal
2078         x: array([ 1.     ,  2.33333,      NaN])
2079         y: array([ 1.     ,  2.33333,  5.     ])
2080   
2081        """
2082        __tracebackhide__ = True  # Hide traceback for py.test
2083        from numpy.core import around, number, float_, result_type, array
2084        from numpy.core.numerictypes import issubdtype
2085        from numpy.core.fromnumeric import any as npany
2086   
2087        def compare(x, y):
2088            try:
2089                if npany(gisinf(x)) or npany( gisinf(y)):
2090                    xinfid = gisinf(x)
2091                    yinfid = gisinf(y)
2092                    if not (xinfid == yinfid).all():
2093                        return False
2094                    # if one item, x and y is +- inf
2095                    if x.size == y.size == 1:
2096                        return x == y
2097                    x = x[~xinfid]
2098                    y = y[~yinfid]
2099            except (TypeError, NotImplementedError):
2100                pass
2101   
2102            # make sure y is an inexact type to avoid abs(MIN_INT); will cause
2103            # casting of x later.
2104            dtype = result_type(y, 1.)
2105            y = array(y, dtype=dtype, copy=False, subok=True)
2106            z = abs(x - y)
2107   
2108            if not issubdtype(z.dtype, number):
2109                z = z.astype(float_)  # handle object arrays
2110   
2111            return z < 1.5 * 10.0**(-decimal)
2112   
2113        assert_array_compare(compare, x, y, err_msg=err_msg, verbose=verbose,
2114                 header=('Arrays are not almost equal to %d decimals' % decimal),
2115>                precision=decimal)
2116
2117__tracebackhide__ = True
2118around     = <function around at 0x10385c8c8>
2119array      = <built-in function array>
2120compare    = <function assert_array_almost_equal.<locals>.compare at 0x10ea230d0>
2121decimal    = 12
2122err_msg    = ''
2123float_     = <class 'numpy.float64'>
2124issubdtype = <function issubdtype at 0x10371cae8>
2125npany      = <function any at 0x10385c2f0>
2126number     = <class 'numpy.number'>
2127result_type = <built-in function result_type>
2128verbose    = True
2129x          = matrix([[2.],
2130        [1.]])
2131y          = matrix([[4.47500444e-154],
2132        [1.04416770e-153]])
2133
2134/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py:964:
2135_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
2136
2137comparison = <function assert_array_almost_equal.<locals>.compare at 0x10ea230d0>, x = matrix([[2., 1.]]), y = matrix([[4.47500444e-154, 1.04416770e-153]]), err_msg = '', verbose = True
2138header = 'Arrays are not almost equal to 12 decimals', precision = 12, equal_nan = True, equal_inf = True
2139
2140    def assert_array_compare(comparison, x, y, err_msg='', verbose=True,
2141                             header='', precision=6, equal_nan=True,
2142                             equal_inf=True):
2143        __tracebackhide__ = True  # Hide traceback for py.test
2144        from numpy.core import array, isnan, inf, bool_
2145        x = array(x, copy=False, subok=True)
2146        y = array(y, copy=False, subok=True)
2147   
2148        def isnumber(x):
2149            return x.dtype.char in '?bhilqpBHILQPefdgFDG'
2150   
2151        def istime(x):
2152            return x.dtype.char in "Mm"
2153   
2154        def func_assert_same_pos(x, y, func=isnan, hasval='nan'):
2155            """Handling nan/inf: combine results of running func on x and y,
2156            checking that they are True at the same locations."""
2157            # Both the != True comparison here and the cast to bool_ at
2158            # the end are done to deal with `masked`, which cannot be
2159            # compared usefully, and for which .all() yields masked.
2160            x_id = func(x)
2161            y_id = func(y)
2162            if (x_id == y_id).all() != True:
2163                msg = build_err_msg([x, y],
2164                                    err_msg + '\nx and y %s location mismatch:'
2165                                    % (hasval), verbose=verbose, header=header,
2166                                    names=('x', 'y'), precision=precision)
2167                raise AssertionError(msg)
2168            # If there is a scalar, then here we know the array has the same
2169            # flag as it everywhere, so we should return the scalar flag.
2170            if x_id.ndim == 0:
2171                return bool_(x_id)
2172            elif y_id.ndim == 0:
2173                return bool_(y_id)
2174            else:
2175                return y_id
2176   
2177        try:
2178            cond = (x.shape == () or y.shape == ()) or x.shape == y.shape
2179            if not cond:
2180                msg = build_err_msg([x, y],
2181                                    err_msg
2182                                    + '\n(shapes %s, %s mismatch)' % (x.shape,
2183                                                                      y.shape),
2184                                    verbose=verbose, header=header,
2185                                    names=('x', 'y'), precision=precision)
2186                raise AssertionError(msg)
2187   
2188            flagged = bool_(False)
2189            if isnumber(x) and isnumber(y):
2190                if equal_nan:
2191                    flagged = func_assert_same_pos(x, y, func=isnan, hasval='nan')
2192   
2193                if equal_inf:
2194                    flagged |= func_assert_same_pos(x, y,
2195                                                    func=lambda xy: xy == +inf,
2196                                                    hasval='+inf')
2197                    flagged |= func_assert_same_pos(x, y,
2198                                                    func=lambda xy: xy == -inf,
2199                                                    hasval='-inf')
2200   
2201            elif istime(x) and istime(y):
2202                # If one is datetime64 and the other timedelta64 there is no point
2203                if equal_nan and x.dtype.type == y.dtype.type:
2204                    flagged = func_assert_same_pos(x, y, func=isnat, hasval="NaT")
2205   
2206            if flagged.ndim > 0:
2207                x, y = x[~flagged], y[~flagged]
2208                # Only do the comparison if actual values are left
2209                if x.size == 0:
2210                    return
2211            elif flagged:
2212                # no sense doing comparison if everything is flagged.
2213                return
2214   
2215            val = comparison(x, y)
2216   
2217            if isinstance(val, bool):
2218                cond = val
2219                reduced = [0]
2220            else:
2221                reduced = val.ravel()
2222                cond = reduced.all()
2223                reduced = reduced.tolist()
2224            # The below comparison is a hack to ensure that fully masked
2225            # results, for which val.ravel().all() returns np.ma.masked,
2226            # do not trigger a failure (np.ma.masked != True evaluates as
2227            # np.ma.masked, which is falsy).
2228            if cond != True:
2229                match = 100-100.0*reduced.count(1)/len(reduced)
2230                msg = build_err_msg([x, y],
2231                                    err_msg
2232                                    + '\n(mismatch %s%%)' % (match,),
2233                                    verbose=verbose, header=header,
2234                                    names=('x', 'y'), precision=precision)
2235>               raise AssertionError(msg)
2236E               AssertionError:
2237E               Arrays are not almost equal to 12 decimals
2238E               
2239E               (mismatch 100.0%)
2240E                x: matrix([[2., 1.]])
2241E                y: matrix([[4.475004438720e-154, 1.044167702368e-153]])
2242
2243__tracebackhide__ = True
2244array      = <built-in function array>
2245bool_      = <class 'numpy.bool_'>
2246comparison = <function assert_array_almost_equal.<locals>.compare at 0x10ea230d0>
2247cond       = False
2248equal_inf  = True
2249equal_nan  = True
2250err_msg    = ''
2251flagged    = matrix([[False],
2252        [False]])
2253func_assert_same_pos = <function assert_array_compare.<locals>.func_assert_same_pos at 0x10ea232f0>
2254header     = 'Arrays are not almost equal to 12 decimals'
2255inf        = inf
2256isnan      = <ufunc 'isnan'>
2257isnumber   = <function assert_array_compare.<locals>.isnumber at 0x10ea23ea0>
2258istime     = <function assert_array_compare.<locals>.istime at 0x10ea23400>
2259match      = 100.0
2260msg        = '\nArrays are not almost equal to 12 decimals\n\n(mismatch 100.0%)\n x: matrix([[2., 1.]])\n y: matrix([[4.475004438720e-154, 1.044167702368e-153]])'
2261precision  = 12
2262reduced    = [[False, False]]
2263val        = matrix([[False, False]])
2264verbose    = True
2265x          = matrix([[2., 1.]])
2266y          = matrix([[4.47500444e-154, 1.04416770e-153]])
2267
2268/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py:780: AssertionError
2269
2270During handling of the above exception, another exception occurred:
2271
2272self = <numpy.matrixlib.tests.test_matrix_linalg.TestLstsqMatrix object at 0x10d8f7898>
2273
2274    def test_sq_cases(self):
2275        self.check_cases(require={'square'},
2276>                        exclude={'generalized', 'size-0'})
2277
2278self       = <numpy.matrixlib.tests.test_matrix_linalg.TestLstsqMatrix object at 0x10d8f7898>
2279
2280/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:361:
2281_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _
2282
2283self = <numpy.matrixlib.tests.test_matrix_linalg.TestLstsqMatrix object at 0x10d8f7898>, require = {'square'}, exclude = {'generalized', 'size-0'}
2284
2285    def check_cases(self, require=set(), exclude=set()):
2286        """
2287            Run func on each of the cases with all of the tags in require, and none
2288            of the tags in exclude
2289            """
2290        for case in self.TEST_CASES:
2291            # filter by require and exclude
2292            if case.tags & require != require:
2293                continue
2294            if case.tags & exclude:
2295                continue
2296   
2297            try:
2298                case.check(self.do)
2299            except Exception:
2300                msg = "In test case: %r\n\n" % case
2301                msg += traceback.format_exc()
2302>               raise AssertionError(msg)
2303E               AssertionError: In test case: <LinalgCase: matrix_b_only>
2304E               
2305E               Traceback (most recent call last):
2306E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py", line 350, in check_cases
2307E                   case.check(self.do)
2308E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py", line 85, in check
2309E                   do(self.a, self.b, tags=self.tags)
2310E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py", line 887, in do
2311E                   assert_almost_equal(b, dot(a, x))
2312E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py", line 41, in assert_almost_equal
2313E                   old_assert_almost_equal(a, b, decimal=decimal, **kw)
2314E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py", line 568, in assert_almost_equal
2315E                   return assert_array_almost_equal(actual, desired, decimal, err_msg)
2316E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py", line 964, in assert_array_almost_equal
2317E                   precision=decimal)
2318E                 File "/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/testing/_private/utils.py", line 780, in assert_array_compare
2319E                   raise AssertionError(msg)
2320E               AssertionError:
2321E               Arrays are not almost equal to 12 decimals
2322E               
2323E               (mismatch 100.0%)
2324E                x: matrix([[2., 1.]])
2325E                y: matrix([[4.475004438720e-154, 1.044167702368e-153]])
2326
2327case       = <LinalgCase: matrix_b_only>
2328exclude    = {'generalized', 'size-0'}
2329msg        = 'In test case: <LinalgCase: matrix_b_only>\n\nTraceback (most recent call last):\n  File "/opt/local/Library/Framework...o 12 decimals\n\n(mismatch 100.0%)\n x: matrix([[2., 1.]])\n y: matrix([[4.475004438720e-154, 1.044167702368e-153]])\n'
2330require    = {'square'}
2331self       = <numpy.matrixlib.tests.test_matrix_linalg.TestLstsqMatrix object at 0x10d8f7898>
2332
2333/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/linalg/tests/test_linalg.py:354: AssertionError
2334------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
2335Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438804480) failed (error code=3)
2336*** error: can't allocate region
2337*** set a breakpoint in malloc_error_break to debug
2338init_dgelsd failed init
2339_________________________________________________________________________________________ TestFitting.test_chebfit __________________________________________________________________________________________
2340
2341self = <numpy.polynomial.tests.test_chebyshev.TestFitting object at 0x10d974ba8>
2342
2343    def test_chebfit(self):
2344        def f(x):
2345            return x*(x - 1)*(x - 2)
2346   
2347        def f2(x):
2348            return x**4 + x**2 + 1
2349   
2350        # Test exceptions
2351        assert_raises(ValueError, cheb.chebfit, [1], [1], -1)
2352        assert_raises(TypeError, cheb.chebfit, [[1]], [1], 0)
2353        assert_raises(TypeError, cheb.chebfit, [], [1], 0)
2354        assert_raises(TypeError, cheb.chebfit, [1], [[[1]]], 0)
2355        assert_raises(TypeError, cheb.chebfit, [1, 2], [1], 0)
2356        assert_raises(TypeError, cheb.chebfit, [1], [1, 2], 0)
2357        assert_raises(TypeError, cheb.chebfit, [1], [1], 0, w=[[1]])
2358        assert_raises(TypeError, cheb.chebfit, [1], [1], 0, w=[1, 1])
2359        assert_raises(ValueError, cheb.chebfit, [1], [1], [-1,])
2360        assert_raises(ValueError, cheb.chebfit, [1], [1], [2, -1, 6])
2361        assert_raises(TypeError, cheb.chebfit, [1], [1], [])
2362   
2363        # Test fit
2364        x = np.linspace(0, 2)
2365        y = f(x)
2366        #
2367        coef3 = cheb.chebfit(x, y, 3)
2368        assert_equal(len(coef3), 4)
2369>       assert_almost_equal(cheb.chebval(x, coef3), y)
2370E       AssertionError:
2371E       Arrays are not almost equal to 7 decimals
2372E       
2373E       (mismatch 100.0%)
2374E        x: array([ -13.9110103,  -21.5538453,  -28.9493612,  -35.9900612,
2375E               -42.5684484,  -48.577026 ,  -53.9082971,  -58.4547649,
2376E               -62.1089326,  -64.7633034,  -66.3103803,  -66.6426665,...
2377E        y: array([ 0.       ,  0.0767027,  0.1438176,  0.2017527,  0.2509159,
2378E               0.2917152,  0.3245586,  0.3498542,  0.3680099,  0.3794337,
2379E               0.3845337,  0.3837177,  0.3773938,  0.36597  ,  0.3498542,...
2380
2381coef3      = array([ 7.07106781,  8.20651807, 20.98207809, 65.86924807])
2382f          = <function TestFitting.test_chebfit.<locals>.f at 0x10ea23488>
2383f2         = <function TestFitting.test_chebfit.<locals>.f2 at 0x10d9eb620>
2384self       = <numpy.polynomial.tests.test_chebyshev.TestFitting object at 0x10d974ba8>
2385x          = array([0.        , 0.04081633, 0.08163265, 0.12244898, 0.16326531,
2386       0.20408163, 0.24489796, 0.28571429, 0.326530...06, 1.67346939, 1.71428571, 1.75510204, 1.79591837,
2387       1.83673469, 1.87755102, 1.91836735, 1.95918367, 2.        ])
2388y          = array([ 0.        ,  0.07670273,  0.14381763,  0.20175267,  0.25091586,
2389        0.29171519,  0.32455864,  0.34985423, ...800993, -0.34985423, -0.32455864, -0.29171519,
2390       -0.25091586, -0.20175267, -0.14381763, -0.07670273,  0.        ])
2391
2392/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_chebyshev.py:427: AssertionError
2393------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
2394Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438812672) failed (error code=3)
2395*** error: can't allocate region
2396*** set a breakpoint in malloc_error_break to debug
2397init_dgelsd failed init
2398___________________________________________________________________________________________ test_fit[Polynomial] ____________________________________________________________________________________________
2399
2400Poly = <class 'numpy.polynomial.polynomial.Polynomial'>
2401
2402    def test_fit(Poly):
2403   
2404        def f(x):
2405            return x*(x - 1)*(x - 2)
2406        x = np.linspace(0, 3)
2407        y = f(x)
2408   
2409        # check default value of domain and window
2410        p = Poly.fit(x, y, 3)
2411        assert_almost_equal(p.domain, [0, 3])
2412>       assert_almost_equal(p(x), y)
2413E       AssertionError:
2414E       Arrays are not almost equal to 7 decimals
2415E       
2416E       (mismatch 100.0%)
2417E        x: array([ 3.3609449,  3.6010559,  3.8249429,  4.033763 ,  4.2286731,
2418E               4.41083  ,  4.5813906,  4.741512 ,  4.892351 ,  5.0350645,
2419E               5.1708095,  5.3007428,  5.4260214,  5.5478022,  5.6672422,...
2420E        y: array([ 0.       ,  0.1114332,  0.2017527,  0.2723355,  0.3245586,
2421E               0.3597991,  0.3794337,  0.3848397,  0.3773938,  0.3584731,
2422E               0.3294546,  0.2917152,  0.2466319,  0.1955818,  0.1399417,...
2423
2424Poly       = <class 'numpy.polynomial.polynomial.Polynomial'>
2425f          = <function test_fit.<locals>.f at 0x10d9eb158>
2426p          = Polynomial([7.07106781, 4.16496564, 3.29047206, 2.83562932], domain=[0., 3.], window=[-1.,  1.])
2427x          = array([0.        , 0.06122449, 0.12244898, 0.18367347, 0.24489796,
2428       0.30612245, 0.36734694, 0.42857143, 0.489795...59, 2.51020408, 2.57142857, 2.63265306, 2.69387755,
2429       2.75510204, 2.81632653, 2.87755102, 2.93877551, 3.        ])
2430y          = array([ 0.        ,  0.11143316,  0.20175267,  0.27233551,  0.32455864,
2431        0.35979906,  0.37943374,  0.38483965, ...414309,  2.3090379 ,  2.71927513,  3.16623176,
2432        3.65128475,  4.1758111 ,  4.74118777,  5.34879174,  6.        ])
2433
2434/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_classes.py:146: AssertionError
2435------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
2436Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438808576) failed (error code=3)
2437*** error: can't allocate region
2438*** set a breakpoint in malloc_error_break to debug
2439init_dgelsd failed init
2440____________________________________________________________________________________________ test_fit[Legendre] _____________________________________________________________________________________________
2441
2442Poly = <class 'numpy.polynomial.legendre.Legendre'>
2443
2444    def test_fit(Poly):
2445   
2446        def f(x):
2447            return x*(x - 1)*(x - 2)
2448        x = np.linspace(0, 3)
2449        y = f(x)
2450   
2451        # check default value of domain and window
2452        p = Poly.fit(x, y, 3)
2453        assert_almost_equal(p.domain, [0, 3])
2454>       assert_almost_equal(p(x), y)
2455E       AssertionError:
2456E       Arrays are not almost equal to 7 decimals
2457E       
2458E       (mismatch 100.0%)
2459E        x: array([ 3.3558378,  3.7920559,  4.176589 ,  4.5123368,  4.8021987,
2460E               5.0490744,  5.2558636,  5.4254658,  5.5607806,  5.6647077,
2461E               5.7401467,  5.7899972,  5.8171587,  5.824531 ,  5.8150135,...
2462E        y: array([ 0.       ,  0.1114332,  0.2017527,  0.2723355,  0.3245586,
2463E               0.3597991,  0.3794337,  0.3848397,  0.3773938,  0.3584731,
2464E               0.3294546,  0.2917152,  0.2466319,  0.1955818,  0.1399417,...
2465
2466Poly       = <class 'numpy.polynomial.legendre.Legendre'>
2467f          = <function test_fit.<locals>.f at 0x10d9eb950>
2468p          = Legendre([7.07106781, 4.16496564, 3.29253795, 2.84280232], domain=[0., 3.], window=[-1.,  1.])
2469x          = array([0.        , 0.06122449, 0.12244898, 0.18367347, 0.24489796,
2470       0.30612245, 0.36734694, 0.42857143, 0.489795...59, 2.51020408, 2.57142857, 2.63265306, 2.69387755,
2471       2.75510204, 2.81632653, 2.87755102, 2.93877551, 3.        ])
2472y          = array([ 0.        ,  0.11143316,  0.20175267,  0.27233551,  0.32455864,
2473        0.35979906,  0.37943374,  0.38483965, ...414309,  2.3090379 ,  2.71927513,  3.16623176,
2474        3.65128475,  4.1758111 ,  4.74118777,  5.34879174,  6.        ])
2475
2476/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_classes.py:146: AssertionError
2477------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
2478Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438808576) failed (error code=3)
2479*** error: can't allocate region
2480*** set a breakpoint in malloc_error_break to debug
2481init_dgelsd failed init
2482____________________________________________________________________________________________ test_fit[Chebyshev] ____________________________________________________________________________________________
2483
2484Poly = <class 'numpy.polynomial.chebyshev.Chebyshev'>
2485
2486    def test_fit(Poly):
2487   
2488        def f(x):
2489            return x*(x - 1)*(x - 2)
2490        x = np.linspace(0, 3)
2491        y = f(x)
2492   
2493        # check default value of domain and window
2494        p = Poly.fit(x, y, 3)
2495        assert_almost_equal(p.domain, [0, 3])
2496>       assert_almost_equal(p(x), y)
2497E       AssertionError:
2498E       Arrays are not almost equal to 7 decimals
2499E       
2500E       (mismatch 100.0%)
2501E        x: array([ 2.8048058,  3.9280131,  4.8923547,  5.7059778,  6.3770296,
2502E               6.9136571,  7.3240076,  7.6162282,  7.798466 ,  7.8788683,
2503E               7.8655822,  7.7667548,  7.5905333,  7.3450649,  7.0384967,...
2504E        y: array([ 0.       ,  0.1114332,  0.2017527,  0.2723355,  0.3245586,
2505E               0.3597991,  0.3794337,  0.3848397,  0.3773938,  0.3584731,
2506E               0.3294546,  0.2917152,  0.2466319,  0.1955818,  0.1399417,...
2507
2508Poly       = <class 'numpy.polynomial.chebyshev.Chebyshev'>
2509f          = <function test_fit.<locals>.f at 0x10ea1f400>
2510p          = Chebyshev([7.07106781, 4.16496564, 4.89091712, 4.99221346], domain=[0., 3.], window=[-1.,  1.])
2511x          = array([0.        , 0.06122449, 0.12244898, 0.18367347, 0.24489796,
2512       0.30612245, 0.36734694, 0.42857143, 0.489795...59, 2.51020408, 2.57142857, 2.63265306, 2.69387755,
2513       2.75510204, 2.81632653, 2.87755102, 2.93877551, 3.        ])
2514y          = array([ 0.        ,  0.11143316,  0.20175267,  0.27233551,  0.32455864,
2515        0.35979906,  0.37943374,  0.38483965, ...414309,  2.3090379 ,  2.71927513,  3.16623176,
2516        3.65128475,  4.1758111 ,  4.74118777,  5.34879174,  6.        ])
2517
2518/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_classes.py:146: AssertionError
2519------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
2520Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438808576) failed (error code=3)
2521*** error: can't allocate region
2522*** set a breakpoint in malloc_error_break to debug
2523init_dgelsd failed init
2524____________________________________________________________________________________________ test_fit[Laguerre] _____________________________________________________________________________________________
2525
2526Poly = <class 'numpy.polynomial.laguerre.Laguerre'>
2527
2528    def test_fit(Poly):
2529   
2530        def f(x):
2531            return x*(x - 1)*(x - 2)
2532        x = np.linspace(0, 3)
2533        y = f(x)
2534   
2535        # check default value of domain and window
2536        p = Poly.fit(x, y, 3)
2537        assert_almost_equal(p.domain, [0, 3])
2538>       assert_almost_equal(p(x), y)
2539E       AssertionError:
2540E       Arrays are not almost equal to 7 decimals
2541E       
2542E       (mismatch 100.0%)
2543E        x: array([18.0443235, 17.6113131, 17.1840627, 16.7625426, 16.3467228,
2544E              15.9365734, 15.5320646, 15.1331665, 14.7398491, 14.3520826,
2545E              13.9698372, 13.5930829, 13.2217898, 12.8559282, 12.4954679,...
2546E        y: array([ 0.       ,  0.1114332,  0.2017527,  0.2723355,  0.3245586,
2547E               0.3597991,  0.3794337,  0.3848397,  0.3773938,  0.3584731,
2548E               0.3294546,  0.2917152,  0.2466319,  0.1955818,  0.1399417,...
2549
2550Poly       = <class 'numpy.polynomial.laguerre.Laguerre'>
2551f          = <function test_fit.<locals>.f at 0x10ea1f048>
2552p          = Laguerre([7.07106781, 4.10325903, 3.35412731, 3.51586935], domain=[0., 3.], window=[0., 1.])
2553x          = array([0.        , 0.06122449, 0.12244898, 0.18367347, 0.24489796,
2554       0.30612245, 0.36734694, 0.42857143, 0.489795...59, 2.51020408, 2.57142857, 2.63265306, 2.69387755,
2555       2.75510204, 2.81632653, 2.87755102, 2.93877551, 3.        ])
2556y          = array([ 0.        ,  0.11143316,  0.20175267,  0.27233551,  0.32455864,
2557        0.35979906,  0.37943374,  0.38483965, ...414309,  2.3090379 ,  2.71927513,  3.16623176,
2558        3.65128475,  4.1758111 ,  4.74118777,  5.34879174,  6.        ])
2559
2560/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_classes.py:146: AssertionError
2561------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
2562Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438808576) failed (error code=3)
2563*** error: can't allocate region
2564*** set a breakpoint in malloc_error_break to debug
2565init_dgelsd failed init
2566_____________________________________________________________________________________________ test_fit[Hermite] _____________________________________________________________________________________________
2567
2568Poly = <class 'numpy.polynomial.hermite.Hermite'>
2569
2570    def test_fit(Poly):
2571   
2572        def f(x):
2573            return x*(x - 1)*(x - 2)
2574        x = np.linspace(0, 3)
2575        y = f(x)
2576   
2577        # check default value of domain and window
2578        p = Poly.fit(x, y, 3)
2579        assert_almost_equal(p.domain, [0, 3])
2580>       assert_almost_equal(p(x), y)
2581E       AssertionError:
2582E       Arrays are not almost equal to 7 decimals
2583E       
2584E       (mismatch 100.0%)
2585E        x: array([ 132.2039282,  143.5167037,  152.6160237,  159.6016254,
2586E               164.5732461,  167.630623 ,  168.8734935,  168.4015948,
2587E               166.314664 ,  162.7124386,  157.6946558,  151.3610527,...
2588E        y: array([ 0.       ,  0.1114332,  0.2017527,  0.2723355,  0.3245586,
2589E               0.3597991,  0.3794337,  0.3848397,  0.3773938,  0.3584731,
2590E               0.3294546,  0.2917152,  0.2466319,  0.1955818,  0.1399417,...
2591
2592Poly       = <class 'numpy.polynomial.hermite.Hermite'>
2593f          = <function test_fit.<locals>.f at 0x10ea1fd90>
2594p          = Hermite([ 7.07106781,  8.32993128,  9.78183425, 30.5572636 ], domain=[0., 3.], window=[-1.,  1.])
2595x          = array([0.        , 0.06122449, 0.12244898, 0.18367347, 0.24489796,
2596       0.30612245, 0.36734694, 0.42857143, 0.489795...59, 2.51020408, 2.57142857, 2.63265306, 2.69387755,
2597       2.75510204, 2.81632653, 2.87755102, 2.93877551, 3.        ])
2598y          = array([ 0.        ,  0.11143316,  0.20175267,  0.27233551,  0.32455864,
2599        0.35979906,  0.37943374,  0.38483965, ...414309,  2.3090379 ,  2.71927513,  3.16623176,
2600        3.65128475,  4.1758111 ,  4.74118777,  5.34879174,  6.        ])
2601
2602/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_classes.py:146: AssertionError
2603------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
2604Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438808576) failed (error code=3)
2605*** error: can't allocate region
2606*** set a breakpoint in malloc_error_break to debug
2607init_dgelsd failed init
2608____________________________________________________________________________________________ test_fit[HermiteE] _____________________________________________________________________________________________
2609
2610Poly = <class 'numpy.polynomial.hermite_e.HermiteE'>
2611
2612    def test_fit(Poly):
2613   
2614        def f(x):
2615            return x*(x - 1)*(x - 2)
2616        x = np.linspace(0, 3)
2617        y = f(x)
2618   
2619        # check default value of domain and window
2620        p = Poly.fit(x, y, 3)
2621        assert_almost_equal(p.domain, [0, 3])
2622>       assert_almost_equal(p(x), y)
2623E       AssertionError:
2624E       Arrays are not almost equal to 7 decimals
2625E       
2626E       (mismatch 100.0%)
2627E        x: array([ 22.825942 ,  22.5380432,  22.1716834,  21.7309262,  21.2198352,
2628E               20.642474 ,  20.0029061,  19.3051951,  18.5534047,  17.7515983,
2629E               16.9038396,  16.0141921,  15.0867194,  14.1254852,  13.1345529,...
2630E        y: array([ 0.       ,  0.1114332,  0.2017527,  0.2723355,  0.3245586,
2631E               0.3597991,  0.3794337,  0.3848397,  0.3773938,  0.3584731,
2632E               0.3294546,  0.2917152,  0.2466319,  0.1955818,  0.1399417,...
2633
2634Poly       = <class 'numpy.polynomial.hermite_e.HermiteE'>
2635f          = <function test_fit.<locals>.f at 0x10ea18b70>
2636p          = HermiteE([7.07106781, 4.16496564, 5.11207676, 9.95991991], domain=[0., 3.], window=[-1.,  1.])
2637x          = array([0.        , 0.06122449, 0.12244898, 0.18367347, 0.24489796,
2638       0.30612245, 0.36734694, 0.42857143, 0.489795...59, 2.51020408, 2.57142857, 2.63265306, 2.69387755,
2639       2.75510204, 2.81632653, 2.87755102, 2.93877551, 3.        ])
2640y          = array([ 0.        ,  0.11143316,  0.20175267,  0.27233551,  0.32455864,
2641        0.35979906,  0.37943374,  0.38483965, ...414309,  2.3090379 ,  2.71927513,  3.16623176,
2642        3.65128475,  4.1758111 ,  4.74118777,  5.34879174,  6.        ])
2643
2644/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_classes.py:146: AssertionError
2645------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
2646Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438808576) failed (error code=3)
2647*** error: can't allocate region
2648*** set a breakpoint in malloc_error_break to debug
2649init_dgelsd failed init
2650_________________________________________________________________________________________ TestFitting.test_hermfit __________________________________________________________________________________________
2651
2652self = <numpy.polynomial.tests.test_hermite.TestFitting object at 0x10da295c0>
2653
2654    def test_hermfit(self):
2655        def f(x):
2656            return x*(x - 1)*(x - 2)
2657   
2658        def f2(x):
2659            return x**4 + x**2 + 1
2660   
2661        # Test exceptions
2662        assert_raises(ValueError, herm.hermfit, [1], [1], -1)
2663        assert_raises(TypeError, herm.hermfit, [[1]], [1], 0)
2664        assert_raises(TypeError, herm.hermfit, [], [1], 0)
2665        assert_raises(TypeError, herm.hermfit, [1], [[[1]]], 0)
2666        assert_raises(TypeError, herm.hermfit, [1, 2], [1], 0)
2667        assert_raises(TypeError, herm.hermfit, [1], [1, 2], 0)
2668        assert_raises(TypeError, herm.hermfit, [1], [1], 0, w=[[1]])
2669        assert_raises(TypeError, herm.hermfit, [1], [1], 0, w=[1, 1])
2670        assert_raises(ValueError, herm.hermfit, [1], [1], [-1,])
2671        assert_raises(ValueError, herm.hermfit, [1], [1], [2, -1, 6])
2672        assert_raises(TypeError, herm.hermfit, [1], [1], [])
2673   
2674        # Test fit
2675        x = np.linspace(0, 2)
2676        y = f(x)
2677        #
2678        coef3 = herm.hermfit(x, y, 3)
2679        assert_equal(len(coef3), 4)
2680>       assert_almost_equal(herm.hermval(x, coef3), y)
2681E       AssertionError:
2682E       Arrays are not almost equal to 7 decimals
2683E       
2684E       (mismatch 100.0%)
2685E        x: array([ -76.8572445, -121.1264933, -164.5303156, -206.7625738,
2686E              -247.5171306, -286.4878483, -323.3685896, -357.853217 ,
2687E              -389.635593 , -418.4095801, -443.8690407, -465.7078375,...
2688E        y: array([ 0.       ,  0.0767027,  0.1438176,  0.2017527,  0.2509159,
2689E               0.2917152,  0.3245586,  0.3498542,  0.3680099,  0.3794337,
2690E               0.3845337,  0.3837177,  0.3773938,  0.36597  ,  0.3498542,...
2691
2692coef3      = array([ 7.07106781, 16.41303613, 41.96415618, 93.79366829])
2693f          = <function TestFitting.test_hermfit.<locals>.f at 0x10ea1f2f0>
2694f2         = <function TestFitting.test_hermfit.<locals>.f2 at 0x10ea18400>
2695self       = <numpy.polynomial.tests.test_hermite.TestFitting object at 0x10da295c0>
2696x          = array([0.        , 0.04081633, 0.08163265, 0.12244898, 0.16326531,
2697       0.20408163, 0.24489796, 0.28571429, 0.326530...06, 1.67346939, 1.71428571, 1.75510204, 1.79591837,
2698       1.83673469, 1.87755102, 1.91836735, 1.95918367, 2.        ])
2699y          = array([ 0.        ,  0.07670273,  0.14381763,  0.20175267,  0.25091586,
2700        0.29171519,  0.32455864,  0.34985423, ...800993, -0.34985423, -0.32455864, -0.29171519,
2701       -0.25091586, -0.20175267, -0.14381763, -0.07670273,  0.        ])
2702
2703/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_hermite.py:415: AssertionError
2704------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
2705Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438812672) failed (error code=3)
2706*** error: can't allocate region
2707*** set a breakpoint in malloc_error_break to debug
2708init_dgelsd failed init
2709_________________________________________________________________________________________ TestFitting.test_hermefit _________________________________________________________________________________________
2710
2711self = <numpy.polynomial.tests.test_hermite_e.TestFitting object at 0x10bd0e278>
2712
2713    def test_hermefit(self):
2714        def f(x):
2715            return x*(x - 1)*(x - 2)
2716   
2717        def f2(x):
2718            return x**4 + x**2 + 1
2719   
2720        # Test exceptions
2721        assert_raises(ValueError, herme.hermefit, [1], [1], -1)
2722        assert_raises(TypeError, herme.hermefit, [[1]], [1], 0)
2723        assert_raises(TypeError, herme.hermefit, [], [1], 0)
2724        assert_raises(TypeError, herme.hermefit, [1], [[[1]]], 0)
2725        assert_raises(TypeError, herme.hermefit, [1, 2], [1], 0)
2726        assert_raises(TypeError, herme.hermefit, [1], [1, 2], 0)
2727        assert_raises(TypeError, herme.hermefit, [1], [1], 0, w=[[1]])
2728        assert_raises(TypeError, herme.hermefit, [1], [1], 0, w=[1, 1])
2729        assert_raises(ValueError, herme.hermefit, [1], [1], [-1,])
2730        assert_raises(ValueError, herme.hermefit, [1], [1], [2, -1, 6])
2731        assert_raises(TypeError, herme.hermefit, [1], [1], [])
2732   
2733        # Test fit
2734        x = np.linspace(0, 2)
2735        y = f(x)
2736        #
2737        coef3 = herme.hermefit(x, y, 3)
2738        assert_equal(len(coef3), 4)
2739>       assert_almost_equal(herme.hermeval(x, coef3), y)
2740E       AssertionError:
2741E       Arrays are not almost equal to 7 decimals
2742E       
2743E       (mismatch 100.0%)
2744E        x: array([-1.8852127, -2.7426461, -3.5662127, -4.3518875, -5.0956457,
2745E              -5.7934623, -6.4413124, -7.035171 , -7.5710132, -8.044814 ,
2746E              -8.4525486, -8.7901919, -9.0537191, -9.2391051, -9.3423251,...
2747E        y: array([ 0.       ,  0.0767027,  0.1438176,  0.2017527,  0.2509159,
2748E               0.2917152,  0.3245586,  0.3498542,  0.3680099,  0.3794337,
2749E               0.3845337,  0.3837177,  0.3773938,  0.36597  ,  0.3498542,...
2750
2751coef3      = array([7.07106781, 8.20651807, 8.95628056, 9.86521087])
2752f          = <function TestFitting.test_hermefit.<locals>.f at 0x10ea18ea0>
2753f2         = <function TestFitting.test_hermefit.<locals>.f2 at 0x10ea18158>
2754self       = <numpy.polynomial.tests.test_hermite_e.TestFitting object at 0x10bd0e278>
2755x          = array([0.        , 0.04081633, 0.08163265, 0.12244898, 0.16326531,
2756       0.20408163, 0.24489796, 0.28571429, 0.326530...06, 1.67346939, 1.71428571, 1.75510204, 1.79591837,
2757       1.83673469, 1.87755102, 1.91836735, 1.95918367, 2.        ])
2758y          = array([ 0.        ,  0.07670273,  0.14381763,  0.20175267,  0.25091586,
2759        0.29171519,  0.32455864,  0.34985423, ...800993, -0.34985423, -0.32455864, -0.29171519,
2760       -0.25091586, -0.20175267, -0.14381763, -0.07670273,  0.        ])
2761
2762/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_hermite_e.py:416: AssertionError
2763------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
2764Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438812672) failed (error code=3)
2765*** error: can't allocate region
2766*** set a breakpoint in malloc_error_break to debug
2767init_dgelsd failed init
2768__________________________________________________________________________________________ TestFitting.test_lagfit __________________________________________________________________________________________
2769
2770self = <numpy.polynomial.tests.test_laguerre.TestFitting object at 0x10bd1d390>
2771
2772    def test_lagfit(self):
2773        def f(x):
2774            return x*(x - 1)*(x - 2)
2775   
2776        # Test exceptions
2777        assert_raises(ValueError, lag.lagfit, [1], [1], -1)
2778        assert_raises(TypeError, lag.lagfit, [[1]], [1], 0)
2779        assert_raises(TypeError, lag.lagfit, [], [1], 0)
2780        assert_raises(TypeError, lag.lagfit, [1], [[[1]]], 0)
2781        assert_raises(TypeError, lag.lagfit, [1, 2], [1], 0)
2782        assert_raises(TypeError, lag.lagfit, [1], [1, 2], 0)
2783        assert_raises(TypeError, lag.lagfit, [1], [1], 0, w=[[1]])
2784        assert_raises(TypeError, lag.lagfit, [1], [1], 0, w=[1, 1])
2785        assert_raises(ValueError, lag.lagfit, [1], [1], [-1,])
2786        assert_raises(ValueError, lag.lagfit, [1], [1], [2, -1, 6])
2787        assert_raises(TypeError, lag.lagfit, [1], [1], [])
2788   
2789        # Test fit
2790        x = np.linspace(0, 2)
2791        y = f(x)
2792        #
2793        coef3 = lag.lagfit(x, y, 3)
2794        assert_equal(len(coef3), 4)
2795>       assert_almost_equal(lag.lagval(x, coef3), y)
2796E       AssertionError:
2797E       Arrays are not almost equal to 7 decimals
2798E       
2799E       (mismatch 100.0%)
2800E        x: array([20.158221 , 19.1092779, 18.0883703, 17.0952239, 16.1295643,
2801E              15.1911171, 14.2796079, 13.3947622, 12.5363056, 11.7039638,
2802E              10.8974624, 10.1165269,  9.3608829,  8.6302561,  7.9243719,...
2803E        y: array([ 0.       ,  0.0767027,  0.1438176,  0.2017527,  0.2509159,
2804E               0.2917152,  0.3245586,  0.3498542,  0.3680099,  0.3794337,
2805E               0.3845337,  0.3837177,  0.3773938,  0.36597  ,  0.3498542,...
2806
2807coef3      = array([7.07106781, 4.16496564, 4.88674441, 4.03544314])
2808f          = <function TestFitting.test_lagfit.<locals>.f at 0x10ea188c8>
2809self       = <numpy.polynomial.tests.test_laguerre.TestFitting object at 0x10bd1d390>
2810x          = array([0.        , 0.04081633, 0.08163265, 0.12244898, 0.16326531,
2811       0.20408163, 0.24489796, 0.28571429, 0.326530...06, 1.67346939, 1.71428571, 1.75510204, 1.79591837,
2812       1.83673469, 1.87755102, 1.91836735, 1.95918367, 2.        ])
2813y          = array([ 0.        ,  0.07670273,  0.14381763,  0.20175267,  0.25091586,
2814        0.29171519,  0.32455864,  0.34985423, ...800993, -0.34985423, -0.32455864, -0.29171519,
2815       -0.25091586, -0.20175267, -0.14381763, -0.07670273,  0.        ])
2816
2817/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_laguerre.py:409: AssertionError
2818------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
2819Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438812672) failed (error code=3)
2820*** error: can't allocate region
2821*** set a breakpoint in malloc_error_break to debug
2822init_dgelsd failed init
2823__________________________________________________________________________________________ TestFitting.test_legfit __________________________________________________________________________________________
2824
2825self = <numpy.polynomial.tests.test_legendre.TestFitting object at 0x10d982b38>
2826
2827    def test_legfit(self):
2828        def f(x):
2829            return x*(x - 1)*(x - 2)
2830   
2831        def f2(x):
2832            return x**4 + x**2 + 1
2833   
2834        # Test exceptions
2835        assert_raises(ValueError, leg.legfit, [1], [1], -1)
2836        assert_raises(TypeError, leg.legfit, [[1]], [1], 0)
2837        assert_raises(TypeError, leg.legfit, [], [1], 0)
2838        assert_raises(TypeError, leg.legfit, [1], [[[1]]], 0)
2839        assert_raises(TypeError, leg.legfit, [1, 2], [1], 0)
2840        assert_raises(TypeError, leg.legfit, [1], [1, 2], 0)
2841        assert_raises(TypeError, leg.legfit, [1], [1], 0, w=[[1]])
2842        assert_raises(TypeError, leg.legfit, [1], [1], 0, w=[1, 1])
2843        assert_raises(ValueError, leg.legfit, [1], [1], [-1,])
2844        assert_raises(ValueError, leg.legfit, [1], [1], [2, -1, 6])
2845        assert_raises(TypeError, leg.legfit, [1], [1], [])
2846   
2847        # Test fit
2848        x = np.linspace(0, 2)
2849        y = f(x)
2850        #
2851        coef3 = leg.legfit(x, y, 3)
2852        assert_equal(len(coef3), 4)
2853>       assert_almost_equal(leg.legval(x, coef3), y)
2854E       AssertionError:
2855E       Arrays are not almost equal to 7 decimals
2856E       
2857E       (mismatch 100.0%)
2858E        x: array([ -1.3331644,  -3.6306353,  -5.7994195,  -7.7948375,  -9.57221  ,
2859E              -11.0868576, -12.2941009, -13.1492604, -13.6076569, -13.6246108,
2860E              -13.1554427, -12.1554734, -10.5800233,  -8.3844131,  -5.5239633,...
2861E        y: array([ 0.       ,  0.0767027,  0.1438176,  0.2017527,  0.2509159,
2862E               0.2917152,  0.3245586,  0.3498542,  0.3680099,  0.3794337,
2863E               0.3845337,  0.3837177,  0.3773938,  0.36597  ,  0.3498542,...
2864
2865coef3      = array([ 7.07106781,  8.20651807, 16.80846452, 43.80405673])
2866f          = <function TestFitting.test_legfit.<locals>.f at 0x10ea18048>
2867f2         = <function TestFitting.test_legfit.<locals>.f2 at 0x10d9ed620>
2868self       = <numpy.polynomial.tests.test_legendre.TestFitting object at 0x10d982b38>
2869x          = array([0.        , 0.04081633, 0.08163265, 0.12244898, 0.16326531,
2870       0.20408163, 0.24489796, 0.28571429, 0.326530...06, 1.67346939, 1.71428571, 1.75510204, 1.79591837,
2871       1.83673469, 1.87755102, 1.91836735, 1.95918367, 2.        ])
2872y          = array([ 0.        ,  0.07670273,  0.14381763,  0.20175267,  0.25091586,
2873        0.29171519,  0.32455864,  0.34985423, ...800993, -0.34985423, -0.32455864, -0.29171519,
2874       -0.25091586, -0.20175267, -0.14381763, -0.07670273,  0.        ])
2875
2876/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_legendre.py:416: AssertionError
2877------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
2878Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438812672) failed (error code=3)
2879*** error: can't allocate region
2880*** set a breakpoint in malloc_error_break to debug
2881init_dgelsd failed init
2882___________________________________________________________________________________________ TestMisc.test_polyfit ___________________________________________________________________________________________
2883
2884self = <numpy.polynomial.tests.test_polynomial.TestMisc object at 0x10d9c0e80>
2885
2886    def test_polyfit(self):
2887        def f(x):
2888            return x*(x - 1)*(x - 2)
2889   
2890        def f2(x):
2891            return x**4 + x**2 + 1
2892   
2893        # Test exceptions
2894        assert_raises(ValueError, poly.polyfit, [1], [1], -1)
2895        assert_raises(TypeError, poly.polyfit, [[1]], [1], 0)
2896        assert_raises(TypeError, poly.polyfit, [], [1], 0)
2897        assert_raises(TypeError, poly.polyfit, [1], [[[1]]], 0)
2898        assert_raises(TypeError, poly.polyfit, [1, 2], [1], 0)
2899        assert_raises(TypeError, poly.polyfit, [1], [1, 2], 0)
2900        assert_raises(TypeError, poly.polyfit, [1], [1], 0, w=[[1]])
2901        assert_raises(TypeError, poly.polyfit, [1], [1], 0, w=[1, 1])
2902        assert_raises(ValueError, poly.polyfit, [1], [1], [-1,])
2903        assert_raises(ValueError, poly.polyfit, [1], [1], [2, -1, 6])
2904        assert_raises(TypeError, poly.polyfit, [1], [1], [])
2905   
2906        # Test fit
2907        x = np.linspace(0, 2)
2908        y = f(x)
2909        #
2910        coef3 = poly.polyfit(x, y, 3)
2911        assert_equal(len(coef3), 4)
2912>       assert_almost_equal(poly.polyval(x, coef3), y)
2913E       AssertionError:
2914E       Arrays are not almost equal to 7 decimals
2915E       
2916E       (mismatch 100.0%)
2917E        x: array([  7.0710678,   7.4289124,   7.8384896,   8.308744 ,   8.8486206,
2918E                9.4670639,  10.1730189,  10.9754302,  11.8832427,  12.905401 ,
2919E               14.05085  ,  15.3285343,  16.7473989,  18.3163884,  20.0444476,...
2920E        y: array([ 0.       ,  0.0767027,  0.1438176,  0.2017527,  0.2509159,
2921E               0.2917152,  0.3245586,  0.3498542,  0.3680099,  0.3794337,
2922E               0.3845337,  0.3837177,  0.3773938,  0.36597  ,  0.3498542,...
2923
2924coef3      = array([ 7.07106781,  8.20651807, 12.84168365, 21.92379918])
2925f          = <function TestMisc.test_polyfit.<locals>.f at 0x10d9ed840>
2926f2         = <function TestMisc.test_polyfit.<locals>.f2 at 0x10d9edbf8>
2927self       = <numpy.polynomial.tests.test_polynomial.TestMisc object at 0x10d9c0e80>
2928x          = array([0.        , 0.04081633, 0.08163265, 0.12244898, 0.16326531,
2929       0.20408163, 0.24489796, 0.28571429, 0.326530...06, 1.67346939, 1.71428571, 1.75510204, 1.79591837,
2930       1.83673469, 1.87755102, 1.91836735, 1.95918367, 2.        ])
2931y          = array([ 0.        ,  0.07670273,  0.14381763,  0.20175267,  0.25091586,
2932        0.29171519,  0.32455864,  0.34985423, ...800993, -0.34985423, -0.32455864, -0.29171519,
2933       -0.25091586, -0.20175267, -0.14381763, -0.07670273,  0.        ])
2934
2935/opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_polynomial.py:511: AssertionError
2936------------------------------------------------------------------------------------------- Captured stderr call --------------------------------------------------------------------------------------------
2937Python(85346,0x7fff9e546380) malloc: *** mach_vm_map(size=18446744072438812672) failed (error code=3)
2938*** error: can't allocate region
2939*** set a breakpoint in malloc_error_break to debug
2940init_dgelsd failed init
2941============================================================================================= warnings summary ==============================================================================================
2942numpy/lib/tests/test_polynomial.py::TestDocs::()::test_polyfit
2943  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/unittest/case.py:178: RankWarning: Polyfit may be poorly conditioned
2944    callable_obj(*args, **kwargs)
2945  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/lib/tests/test_polynomial.py:145: RankWarning: Polyfit may be poorly conditioned
2946    m, cov = np.polyfit(x, y+err, 2, cov=True)
2947
2948numpy/lib/tests/test_regression.py::TestRegression::()::test_polyfit_build
2949  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/lib/tests/test_regression.py:103: RankWarning: Polyfit may be poorly conditioned
2950    tested = np.polyfit(x, y, 4)
2951
2952numpy/ma/tests/test_extras.py::TestPolynomial::()::test_polyfit
2953  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/ma/extras.py:1899: RankWarning: Polyfit may be poorly conditioned
2954    return np.polyfit(x, y, deg, rcond, full, w, cov)
2955  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/ma/tests/test_extras.py:1261: RankWarning: Polyfit may be poorly conditioned
2956    assert_almost_equal(polyfit(x, y, 3), np.polyfit(x, y, 3))
2957
2958numpy/polynomial/tests/test_chebyshev.py::TestFitting::()::test_chebfit
2959  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_chebyshev.py:425: RankWarning: The fit may be poorly conditioned
2960    coef3 = cheb.chebfit(x, y, 3)
2961
2962numpy/polynomial/tests/test_classes.py::test_fit[Polynomial]
2963  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/_polybase.py:798: RankWarning: The fit may be poorly conditioned
2964    res = cls._fit(xnew, y, deg, w=w, rcond=rcond, full=full)
2965
2966numpy/polynomial/tests/test_classes.py::test_fit[Legendre]
2967  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/_polybase.py:798: RankWarning: The fit may be poorly conditioned
2968    res = cls._fit(xnew, y, deg, w=w, rcond=rcond, full=full)
2969
2970numpy/polynomial/tests/test_classes.py::test_fit[Chebyshev]
2971  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/_polybase.py:798: RankWarning: The fit may be poorly conditioned
2972    res = cls._fit(xnew, y, deg, w=w, rcond=rcond, full=full)
2973
2974numpy/polynomial/tests/test_classes.py::test_fit[Laguerre]
2975  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/_polybase.py:798: RankWarning: The fit may be poorly conditioned
2976    res = cls._fit(xnew, y, deg, w=w, rcond=rcond, full=full)
2977
2978numpy/polynomial/tests/test_classes.py::test_fit[Hermite]
2979  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/_polybase.py:798: RankWarning: The fit may be poorly conditioned
2980    res = cls._fit(xnew, y, deg, w=w, rcond=rcond, full=full)
2981
2982numpy/polynomial/tests/test_classes.py::test_fit[HermiteE]
2983  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/_polybase.py:798: RankWarning: The fit may be poorly conditioned
2984    res = cls._fit(xnew, y, deg, w=w, rcond=rcond, full=full)
2985
2986numpy/polynomial/tests/test_hermite.py::TestFitting::()::test_hermfit
2987  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_hermite.py:413: RankWarning: The fit may be poorly conditioned
2988    coef3 = herm.hermfit(x, y, 3)
2989
2990numpy/polynomial/tests/test_hermite_e.py::TestFitting::()::test_hermefit
2991  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_hermite_e.py:414: RankWarning: The fit may be poorly conditioned
2992    coef3 = herme.hermefit(x, y, 3)
2993
2994numpy/polynomial/tests/test_laguerre.py::TestFitting::()::test_lagfit
2995  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_laguerre.py:407: RankWarning: The fit may be poorly conditioned
2996    coef3 = lag.lagfit(x, y, 3)
2997
2998numpy/polynomial/tests/test_legendre.py::TestFitting::()::test_legfit
2999  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_legendre.py:414: RankWarning: The fit may be poorly conditioned
3000    coef3 = leg.legfit(x, y, 3)
3001
3002numpy/polynomial/tests/test_polynomial.py::TestMisc::()::test_polyfit
3003  /opt/local/Library/Frameworks/Python.framework/Versions/3.7/lib/python3.7/site-packages/numpy/polynomial/tests/test_polynomial.py:509: RankWarning: The fit may be poorly conditioned
3004    coef3 = poly.polyfit(x, y, 3)
3005
3006-- Docs: http://doc.pytest.org/en/latest/warnings.html
300720 failed, 4529 passed, 417 skipped, 7 xfailed, 17 warnings in 161.32 seconds
3008False
3009>>>