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FAIL: test_umath.TestComplexFunctions.test_loss_of_precision #7517

@nforro

Description

@nforro
======================================================================
ERROR: test_umath.TestComplexFunctions.test_loss_of_precision(<class 'numpy.complex64'>,)
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Traceback (most recent call last):
  File "/usr/lib/python2.7/site-packages/nose/case.py", line 198, in runTest
    self.test(*self.arg)
  File "/usr/lib64/python2.7/site-packages/numpy/core/tests/test_umath.py", line 1845, in check_loss_of_precision
    check(x_series, 2.1*eps)
  File "/usr/lib64/python2.7/site-packages/numpy/core/tests/test_umath.py", line 1814, in check
    d = np.absolute(np.arcsinh(x)/np.arcsinh(z).real - 1)
RuntimeWarning: divide by zero encountered in true_divide

======================================================================
ERROR: test_umath.TestComplexFunctions.test_loss_of_precision(<class 'numpy.complex128'>,)
----------------------------------------------------------------------
Traceback (most recent call last):
  File "/usr/lib/python2.7/site-packages/nose/case.py", line 198, in runTest
    self.test(*self.arg)
  File "/usr/lib64/python2.7/site-packages/numpy/core/tests/test_umath.py", line 1845, in check_loss_of_precision
    check(x_series, 2.1*eps)
  File "/usr/lib64/python2.7/site-packages/numpy/core/tests/test_umath.py", line 1814, in check
    d = np.absolute(np.arcsinh(x)/np.arcsinh(z).real - 1)
RuntimeWarning: divide by zero encountered in true_divide

======================================================================
ERROR: test_umath.TestComplexFunctions.test_loss_of_precision_longcomplex
----------------------------------------------------------------------
Traceback (most recent call last):
  File "/usr/lib/python2.7/site-packages/nose/case.py", line 198, in runTest
    self.test(*self.arg)
  File "/usr/lib64/python2.7/site-packages/numpy/testing/decorators.py", line 217, in knownfailer
    return f(*args, **kwargs)
  File "/usr/lib64/python2.7/site-packages/numpy/core/tests/test_umath.py", line 1892, in test_loss_of_precision_longcomplex
    self.check_loss_of_precision(np.longcomplex)
  File "/usr/lib64/python2.7/site-packages/numpy/core/tests/test_umath.py", line 1843, in check_loss_of_precision
    check(x_series, 50*eps)
  File "/usr/lib64/python2.7/site-packages/numpy/core/tests/test_umath.py", line 1814, in check
    d = np.absolute(np.arcsinh(x)/np.arcsinh(z).real - 1)
RuntimeWarning: divide by zero encountered in true_divide

The tests are failing on Linux systems with glibc older than 2.18. The issue is reproducible for example on RHEL 7.2 with current numpy. It's most likely caused by inaccurate complex trigonometric functions in glibc < 2.18.

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