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+import math
+import sys
+
+import py
+
+from _pytest.compat import isclass, izip
+from _pytest.outcomes import fail
+import _pytest._code
+
+
+def _cmp_raises_type_error(self, other):
+ """__cmp__ implementation which raises TypeError. Used
+ by Approx base classes to implement only == and != and raise a
+ TypeError for other comparisons.
+
+ Needed in Python 2 only, Python 3 all it takes is not implementing the
+ other operators at all.
+ """
+ __tracebackhide__ = True
+ raise TypeError('Comparison operators other than == and != not supported by approx objects')
+
+
+# builtin pytest.approx helper
+
+
+class ApproxBase(object):
+ """
+ Provide shared utilities for making approximate comparisons between numbers
+ or sequences of numbers.
+ """
+
+ def __init__(self, expected, rel=None, abs=None, nan_ok=False):
+ self.expected = expected
+ self.abs = abs
+ self.rel = rel
+ self.nan_ok = nan_ok
+
+ def __repr__(self):
+ raise NotImplementedError
+
+ def __eq__(self, actual):
+ return all(
+ a == self._approx_scalar(x)
+ for a, x in self._yield_comparisons(actual))
+
+ __hash__ = None
+
+ def __ne__(self, actual):
+ return not (actual == self)
+
+ if sys.version_info[0] == 2:
+ __cmp__ = _cmp_raises_type_error
+
+ def _approx_scalar(self, x):
+ return ApproxScalar(x, rel=self.rel, abs=self.abs, nan_ok=self.nan_ok)
+
+ def _yield_comparisons(self, actual):
+ """
+ Yield all the pairs of numbers to be compared. This is used to
+ implement the `__eq__` method.
+ """
+ raise NotImplementedError
+
+
+class ApproxNumpy(ApproxBase):
+ """
+ Perform approximate comparisons for numpy arrays.
+ """
+
+ # Tell numpy to use our `__eq__` operator instead of its.
+ __array_priority__ = 100
+
+ def __repr__(self):
+ # It might be nice to rewrite this function to account for the
+ # shape of the array...
+ return "approx({0!r})".format(list(
+ self._approx_scalar(x) for x in self.expected))
+
+ if sys.version_info[0] == 2:
+ __cmp__ = _cmp_raises_type_error
+
+ def __eq__(self, actual):
+ import numpy as np
+
+ try:
+ actual = np.asarray(actual)
+ except: # noqa
+ raise TypeError("cannot compare '{0}' to numpy.ndarray".format(actual))
+
+ if actual.shape != self.expected.shape:
+ return False
+
+ return ApproxBase.__eq__(self, actual)
+
+ def _yield_comparisons(self, actual):
+ import numpy as np
+
+ # We can be sure that `actual` is a numpy array, because it's
+ # casted in `__eq__` before being passed to `ApproxBase.__eq__`,
+ # which is the only method that calls this one.
+ for i in np.ndindex(self.expected.shape):
+ yield actual[i], self.expected[i]
+
+
+class ApproxMapping(ApproxBase):
+ """
+ Perform approximate comparisons for mappings where the values are numbers
+ (the keys can be anything).
+ """
+
+ def __repr__(self):
+ return "approx({0!r})".format(dict(
+ (k, self._approx_scalar(v))
+ for k, v in self.expected.items()))
+
+ def __eq__(self, actual):
+ if set(actual.keys()) != set(self.expected.keys()):
+ return False
+
+ return ApproxBase.__eq__(self, actual)
+
+ def _yield_comparisons(self, actual):
+ for k in self.expected.keys():
+ yield actual[k], self.expected[k]
+
+
+class ApproxSequence(ApproxBase):
+ """
+ Perform approximate comparisons for sequences of numbers.
+ """
+
+ # Tell numpy to use our `__eq__` operator instead of its.
+ __array_priority__ = 100
+
+ def __repr__(self):
+ seq_type = type(self.expected)
+ if seq_type not in (tuple, list, set):
+ seq_type = list
+ return "approx({0!r})".format(seq_type(
+ self._approx_scalar(x) for x in self.expected))
+
+ def __eq__(self, actual):
+ if len(actual) != len(self.expected):
+ return False
+ return ApproxBase.__eq__(self, actual)
+
+ def _yield_comparisons(self, actual):
+ return izip(actual, self.expected)
+
+
+class ApproxScalar(ApproxBase):
+ """
+ Perform approximate comparisons for single numbers only.
+ """
+
+ def __repr__(self):
+ """
+ Return a string communicating both the expected value and the tolerance
+ for the comparison being made, e.g. '1.0 +- 1e-6'. Use the unicode
+ plus/minus symbol if this is python3 (it's too hard to get right for
+ python2).
+ """
+ if isinstance(self.expected, complex):
+ return str(self.expected)
+
+ # Infinities aren't compared using tolerances, so don't show a
+ # tolerance.
+ if math.isinf(self.expected):
+ return str(self.expected)
+
+ # If a sensible tolerance can't be calculated, self.tolerance will
+ # raise a ValueError. In this case, display '???'.
+ try:
+ vetted_tolerance = '{:.1e}'.format(self.tolerance)
+ except ValueError:
+ vetted_tolerance = '???'
+
+ if sys.version_info[0] == 2:
+ return '{0} +- {1}'.format(self.expected, vetted_tolerance)
+ else:
+ return u'{0} \u00b1 {1}'.format(self.expected, vetted_tolerance)
+
+ def __eq__(self, actual):
+ """
+ Return true if the given value is equal to the expected value within
+ the pre-specified tolerance.
+ """
+
+ # Short-circuit exact equality.
+ if actual == self.expected:
+ return True
+
+ # Allow the user to control whether NaNs are considered equal to each
+ # other or not. The abs() calls are for compatibility with complex
+ # numbers.
+ if math.isnan(abs(self.expected)):
+ return self.nan_ok and math.isnan(abs(actual))
+
+ # Infinity shouldn't be approximately equal to anything but itself, but
+ # if there's a relative tolerance, it will be infinite and infinity
+ # will seem approximately equal to everything. The equal-to-itself
+ # case would have been short circuited above, so here we can just
+ # return false if the expected value is infinite. The abs() call is
+ # for compatibility with complex numbers.
+ if math.isinf(abs(self.expected)):
+ return False
+
+ # Return true if the two numbers are within the tolerance.
+ return abs(self.expected - actual) <= self.tolerance
+
+ __hash__ = None
+
+ @property
+ def tolerance(self):
+ """
+ Return the tolerance for the comparison. This could be either an
+ absolute tolerance or a relative tolerance, depending on what the user
+ specified or which would be larger.
+ """
+ def set_default(x, default):
+ return x if x is not None else default
+
+ # Figure out what the absolute tolerance should be. ``self.abs`` is
+ # either None or a value specified by the user.
+ absolute_tolerance = set_default(self.abs, 1e-12)
+
+ if absolute_tolerance < 0:
+ raise ValueError("absolute tolerance can't be negative: {0}".format(absolute_tolerance))
+ if math.isnan(absolute_tolerance):
+ raise ValueError("absolute tolerance can't be NaN.")
+
+ # If the user specified an absolute tolerance but not a relative one,
+ # just return the absolute tolerance.
+ if self.rel is None:
+ if self.abs is not None:
+ return absolute_tolerance
+
+ # Figure out what the relative tolerance should be. ``self.rel`` is
+ # either None or a value specified by the user. This is done after
+ # we've made sure the user didn't ask for an absolute tolerance only,
+ # because we don't want to raise errors about the relative tolerance if
+ # we aren't even going to use it.
+ relative_tolerance = set_default(self.rel, 1e-6) * abs(self.expected)
+
+ if relative_tolerance < 0:
+ raise ValueError("relative tolerance can't be negative: {0}".format(absolute_tolerance))
+ if math.isnan(relative_tolerance):
+ raise ValueError("relative tolerance can't be NaN.")
+
+ # Return the larger of the relative and absolute tolerances.
+ return max(relative_tolerance, absolute_tolerance)
+
+
+def approx(expected, rel=None, abs=None, nan_ok=False):
+ """
+ Assert that two numbers (or two sets of numbers) are equal to each other
+ within some tolerance.
+
+ Due to the `intricacies of floating-point arithmetic`__, numbers that we
+ would intuitively expect to be equal are not always so::
+
+ >>> 0.1 + 0.2 == 0.3
+ False
+
+ __ https://docs.python.org/3/tutorial/floatingpoint.html
+
+ This problem is commonly encountered when writing tests, e.g. when making
+ sure that floating-point values are what you expect them to be. One way to
+ deal with this problem is to assert that two floating-point numbers are
+ equal to within some appropriate tolerance::
+
+ >>> abs((0.1 + 0.2) - 0.3) < 1e-6
+ True
+
+ However, comparisons like this are tedious to write and difficult to
+ understand. Furthermore, absolute comparisons like the one above are
+ usually discouraged because there's no tolerance that works well for all
+ situations. ``1e-6`` is good for numbers around ``1``, but too small for
+ very big numbers and too big for very small ones. It's better to express
+ the tolerance as a fraction of the expected value, but relative comparisons
+ like that are even more difficult to write correctly and concisely.
+
+ The ``approx`` class performs floating-point comparisons using a syntax
+ that's as intuitive as possible::
+
+ >>> from pytest import approx
+ >>> 0.1 + 0.2 == approx(0.3)
+ True
+
+ The same syntax also works for sequences of numbers::
+
+ >>> (0.1 + 0.2, 0.2 + 0.4) == approx((0.3, 0.6))
+ True
+
+ Dictionary *values*::
+
+ >>> {'a': 0.1 + 0.2, 'b': 0.2 + 0.4} == approx({'a': 0.3, 'b': 0.6})
+ True
+
+ And ``numpy`` arrays::
+
+ >>> import numpy as np # doctest: +SKIP
+ >>> np.array([0.1, 0.2]) + np.array([0.2, 0.4]) == approx(np.array([0.3, 0.6])) # doctest: +SKIP
+ True
+
+ By default, ``approx`` considers numbers within a relative tolerance of
+ ``1e-6`` (i.e. one part in a million) of its expected value to be equal.
+ This treatment would lead to surprising results if the expected value was
+ ``0.0``, because nothing but ``0.0`` itself is relatively close to ``0.0``.
+ To handle this case less surprisingly, ``approx`` also considers numbers
+ within an absolute tolerance of ``1e-12`` of its expected value to be
+ equal. Infinity and NaN are special cases. Infinity is only considered
+ equal to itself, regardless of the relative tolerance. NaN is not
+ considered equal to anything by default, but you can make it be equal to
+ itself by setting the ``nan_ok`` argument to True. (This is meant to
+ facilitate comparing arrays that use NaN to mean "no data".)
+
+ Both the relative and absolute tolerances can be changed by passing
+ arguments to the ``approx`` constructor::
+
+ >>> 1.0001 == approx(1)
+ False
+ >>> 1.0001 == approx(1, rel=1e-3)
+ True
+ >>> 1.0001 == approx(1, abs=1e-3)
+ True
+
+ If you specify ``abs`` but not ``rel``, the comparison will not consider
+ the relative tolerance at all. In other words, two numbers that are within
+ the default relative tolerance of ``1e-6`` will still be considered unequal
+ if they exceed the specified absolute tolerance. If you specify both
+ ``abs`` and ``rel``, the numbers will be considered equal if either
+ tolerance is met::
+
+ >>> 1 + 1e-8 == approx(1)
+ True
+ >>> 1 + 1e-8 == approx(1, abs=1e-12)
+ False
+ >>> 1 + 1e-8 == approx(1, rel=1e-6, abs=1e-12)
+ True
+
+ If you're thinking about using ``approx``, then you might want to know how
+ it compares to other good ways of comparing floating-point numbers. All of
+ these algorithms are based on relative and absolute tolerances and should
+ agree for the most part, but they do have meaningful differences:
+
+ - ``math.isclose(a, b, rel_tol=1e-9, abs_tol=0.0)``: True if the relative
+ tolerance is met w.r.t. either ``a`` or ``b`` or if the absolute
+ tolerance is met. Because the relative tolerance is calculated w.r.t.
+ both ``a`` and ``b``, this test is symmetric (i.e. neither ``a`` nor
+ ``b`` is a "reference value"). You have to specify an absolute tolerance
+ if you want to compare to ``0.0`` because there is no tolerance by
+ default. Only available in python>=3.5. `More information...`__
+
+ __ https://docs.python.org/3/library/math.html#math.isclose
+
+ - ``numpy.isclose(a, b, rtol=1e-5, atol=1e-8)``: True if the difference
+ between ``a`` and ``b`` is less that the sum of the relative tolerance
+ w.r.t. ``b`` and the absolute tolerance. Because the relative tolerance
+ is only calculated w.r.t. ``b``, this test is asymmetric and you can
+ think of ``b`` as the reference value. Support for comparing sequences
+ is provided by ``numpy.allclose``. `More information...`__
+
+ __ http://docs.scipy.org/doc/numpy-1.10.0/reference/generated/numpy.isclose.html
+
+ - ``unittest.TestCase.assertAlmostEqual(a, b)``: True if ``a`` and ``b``
+ are within an absolute tolerance of ``1e-7``. No relative tolerance is
+ considered and the absolute tolerance cannot be changed, so this function
+ is not appropriate for very large or very small numbers. Also, it's only
+ available in subclasses of ``unittest.TestCase`` and it's ugly because it
+ doesn't follow PEP8. `More information...`__
+
+ __ https://docs.python.org/3/library/unittest.html#unittest.TestCase.assertAlmostEqual
+
+ - ``a == pytest.approx(b, rel=1e-6, abs=1e-12)``: True if the relative
+ tolerance is met w.r.t. ``b`` or if the absolute tolerance is met.
+ Because the relative tolerance is only calculated w.r.t. ``b``, this test
+ is asymmetric and you can think of ``b`` as the reference value. In the
+ special case that you explicitly specify an absolute tolerance but not a
+ relative tolerance, only the absolute tolerance is considered.
+
+ .. warning::
+
+ .. versionchanged:: 3.2
+
+ In order to avoid inconsistent behavior, ``TypeError`` is
+ raised for ``>``, ``>=``, ``<`` and ``<=`` comparisons.
+ The example below illustrates the problem::
+
+ assert approx(0.1) > 0.1 + 1e-10 # calls approx(0.1).__gt__(0.1 + 1e-10)
+ assert 0.1 + 1e-10 > approx(0.1) # calls approx(0.1).__lt__(0.1 + 1e-10)
+
+ In the second example one expects ``approx(0.1).__le__(0.1 + 1e-10)``
+ to be called. But instead, ``approx(0.1).__lt__(0.1 + 1e-10)`` is used to
+ comparison. This is because the call hierarchy of rich comparisons
+ follows a fixed behavior. `More information...`__
+
+ __ https://docs.python.org/3/reference/datamodel.html#object.__ge__
+ """
+
+ from collections import Mapping, Sequence
+ from _pytest.compat import STRING_TYPES as String
+
+ # Delegate the comparison to a class that knows how to deal with the type
+ # of the expected value (e.g. int, float, list, dict, numpy.array, etc).
+ #
+ # This architecture is really driven by the need to support numpy arrays.
+ # The only way to override `==` for arrays without requiring that approx be
+ # the left operand is to inherit the approx object from `numpy.ndarray`.
+ # But that can't be a general solution, because it requires (1) numpy to be
+ # installed and (2) the expected value to be a numpy array. So the general
+ # solution is to delegate each type of expected value to a different class.
+ #
+ # This has the advantage that it made it easy to support mapping types
+ # (i.e. dict). The old code accepted mapping types, but would only compare
+ # their keys, which is probably not what most people would expect.
+
+ if _is_numpy_array(expected):
+ cls = ApproxNumpy
+ elif isinstance(expected, Mapping):
+ cls = ApproxMapping
+ elif isinstance(expected, Sequence) and not isinstance(expected, String):
+ cls = ApproxSequence
+ else:
+ cls = ApproxScalar
+
+ return cls(expected, rel, abs, nan_ok)
+
+
+def _is_numpy_array(obj):
+ """
+ Return true if the given object is a numpy array. Make a special effort to
+ avoid importing numpy unless it's really necessary.
+ """
+ import inspect
+
+ for cls in inspect.getmro(type(obj)):
+ if cls.__module__ == 'numpy':
+ try:
+ import numpy as np
+ return isinstance(obj, np.ndarray)
+ except ImportError:
+ pass
+
+ return False
+
+
+# builtin pytest.raises helper
+
+def raises(expected_exception, *args, **kwargs):
+ """
+ Assert that a code block/function call raises ``expected_exception``
+ and raise a failure exception otherwise.
+
+ This helper produces a ``ExceptionInfo()`` object (see below).
+
+ If using Python 2.5 or above, you may use this function as a
+ context manager::
+
+ >>> with raises(ZeroDivisionError):
+ ... 1/0
+
+ .. versionchanged:: 2.10
+
+ In the context manager form you may use the keyword argument
+ ``message`` to specify a custom failure message::
+
+ >>> with raises(ZeroDivisionError, message="Expecting ZeroDivisionError"):
+ ... pass
+ Traceback (most recent call last):
+ ...
+ Failed: Expecting ZeroDivisionError
+
+ .. note::
+
+ When using ``pytest.raises`` as a context manager, it's worthwhile to
+ note that normal context manager rules apply and that the exception
+ raised *must* be the final line in the scope of the context manager.
+ Lines of code after that, within the scope of the context manager will
+ not be executed. For example::
+
+ >>> value = 15
+ >>> with raises(ValueError) as exc_info:
+ ... if value > 10:
+ ... raise ValueError("value must be <= 10")
+ ... assert exc_info.type == ValueError # this will not execute
+
+ Instead, the following approach must be taken (note the difference in
+ scope)::
+
+ >>> with raises(ValueError) as exc_info:
+ ... if value > 10:
+ ... raise ValueError("value must be <= 10")
+ ...
+ >>> assert exc_info.type == ValueError
+
+
+ Since version ``3.1`` you can use the keyword argument ``match`` to assert that the
+ exception matches a text or regex::
+
+ >>> with raises(ValueError, match='must be 0 or None'):
+ ... raise ValueError("value must be 0 or None")
+
+ >>> with raises(ValueError, match=r'must be \d+$'):
+ ... raise ValueError("value must be 42")
+
+ **Legacy forms**
+
+ The forms below are fully supported but are discouraged for new code because the
+ context manager form is regarded as more readable and less error-prone.
+
+ It is possible to specify a callable by passing a to-be-called lambda::
+
+ >>> raises(ZeroDivisionError, lambda: 1/0)
+ <ExceptionInfo ...>
+
+ or you can specify an arbitrary callable with arguments::
+
+ >>> def f(x): return 1/x
+ ...
+ >>> raises(ZeroDivisionError, f, 0)
+ <ExceptionInfo ...>
+ >>> raises(ZeroDivisionError, f, x=0)
+ <ExceptionInfo ...>
+
+ It is also possible to pass a string to be evaluated at runtime::
+
+ >>> raises(ZeroDivisionError, "f(0)")
+ <ExceptionInfo ...>
+
+ The string will be evaluated using the same ``locals()`` and ``globals()``
+ at the moment of the ``raises`` call.
+
+ .. autoclass:: _pytest._code.ExceptionInfo
+ :members:
+
+ .. note::
+ Similar to caught exception objects in Python, explicitly clearing
+ local references to returned ``ExceptionInfo`` objects can
+ help the Python interpreter speed up its garbage collection.
+
+ Clearing those references breaks a reference cycle
+ (``ExceptionInfo`` --> caught exception --> frame stack raising
+ the exception --> current frame stack --> local variables -->
+ ``ExceptionInfo``) which makes Python keep all objects referenced
+ from that cycle (including all local variables in the current
+ frame) alive until the next cyclic garbage collection run. See the
+ official Python ``try`` statement documentation for more detailed
+ information.
+
+ """
+ __tracebackhide__ = True
+ msg = ("exceptions must be old-style classes or"
+ " derived from BaseException, not %s")
+ if isinstance(expected_exception, tuple):
+ for exc in expected_exception:
+ if not isclass(exc):
+ raise TypeError(msg % type(exc))
+ elif not isclass(expected_exception):
+ raise TypeError(msg % type(expected_exception))
+
+ message = "DID NOT RAISE {0}".format(expected_exception)
+ match_expr = None
+
+ if not args:
+ if "message" in kwargs:
+ message = kwargs.pop("message")
+ if "match" in kwargs:
+ match_expr = kwargs.pop("match")
+ message += " matching '{0}'".format(match_expr)
+ return RaisesContext(expected_exception, message, match_expr)
+ elif isinstance(args[0], str):
+ code, = args
+ assert isinstance(code, str)
+ frame = sys._getframe(1)
+ loc = frame.f_locals.copy()
+ loc.update(kwargs)
+ # print "raises frame scope: %r" % frame.f_locals
+ try:
+ code = _pytest._code.Source(code).compile()
+ py.builtin.exec_(code, frame.f_globals, loc)
+ # XXX didn'T mean f_globals == f_locals something special?
+ # this is destroyed here ...
+ except expected_exception:
+ return _pytest._code.ExceptionInfo()
+ else:
+ func = args[0]
+ try:
+ func(*args[1:], **kwargs)
+ except expected_exception:
+ return _pytest._code.ExceptionInfo()
+ fail(message)
+
+
+raises.Exception = fail.Exception
+
+
+class RaisesContext(object):
+ def __init__(self, expected_exception, message, match_expr):
+ self.expected_exception = expected_exception
+ self.message = message
+ self.match_expr = match_expr
+ self.excinfo = None
+
+ def __enter__(self):
+ self.excinfo = object.__new__(_pytest._code.ExceptionInfo)
+ return self.excinfo
+
+ def __exit__(self, *tp):
+ __tracebackhide__ = True
+ if tp[0] is None:
+ fail(self.message)
+ if sys.version_info < (2, 7):
+ # py26: on __exit__() exc_value often does not contain the
+ # exception value.
+ # http://bugs.python.org/issue7853
+ if not isinstance(tp[1], BaseException):
+ exc_type, value, traceback = tp
+ tp = exc_type, exc_type(value), traceback
+ self.excinfo.__init__(tp)
+ suppress_exception = issubclass(self.excinfo.type, self.expected_exception)
+ if sys.version_info[0] == 2 and suppress_exception:
+ sys.exc_clear()
+ if self.match_expr:
+ self.excinfo.match(self.match_expr)
+ return suppress_exception