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Diffstat (limited to '.venv/lib/python3.12/site-packages/numpy/core/tests/test_ufunc.py')
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diff --git a/.venv/lib/python3.12/site-packages/numpy/core/tests/test_ufunc.py b/.venv/lib/python3.12/site-packages/numpy/core/tests/test_ufunc.py new file mode 100644 index 00000000..9fbc4b2d --- /dev/null +++ b/.venv/lib/python3.12/site-packages/numpy/core/tests/test_ufunc.py @@ -0,0 +1,2996 @@ +import warnings +import itertools +import sys +import ctypes as ct + +import pytest +from pytest import param + +import numpy as np +import numpy.core._umath_tests as umt +import numpy.linalg._umath_linalg as uml +import numpy.core._operand_flag_tests as opflag_tests +import numpy.core._rational_tests as _rational_tests +from numpy.testing import ( + assert_, assert_equal, assert_raises, assert_array_equal, + assert_almost_equal, assert_array_almost_equal, assert_no_warnings, + assert_allclose, HAS_REFCOUNT, suppress_warnings, IS_WASM, IS_PYPY, + ) +from numpy.testing._private.utils import requires_memory +from numpy.compat import pickle + + +UNARY_UFUNCS = [obj for obj in np.core.umath.__dict__.values() + if isinstance(obj, np.ufunc)] +UNARY_OBJECT_UFUNCS = [uf for uf in UNARY_UFUNCS if "O->O" in uf.types] + + +class TestUfuncKwargs: + def test_kwarg_exact(self): + assert_raises(TypeError, np.add, 1, 2, castingx='safe') + assert_raises(TypeError, np.add, 1, 2, dtypex=int) + assert_raises(TypeError, np.add, 1, 2, extobjx=[4096]) + assert_raises(TypeError, np.add, 1, 2, outx=None) + assert_raises(TypeError, np.add, 1, 2, sigx='ii->i') + assert_raises(TypeError, np.add, 1, 2, signaturex='ii->i') + assert_raises(TypeError, np.add, 1, 2, subokx=False) + assert_raises(TypeError, np.add, 1, 2, wherex=[True]) + + def test_sig_signature(self): + assert_raises(TypeError, np.add, 1, 2, sig='ii->i', + signature='ii->i') + + def test_sig_dtype(self): + assert_raises(TypeError, np.add, 1, 2, sig='ii->i', + dtype=int) + assert_raises(TypeError, np.add, 1, 2, signature='ii->i', + dtype=int) + + def test_extobj_refcount(self): + # Should not segfault with USE_DEBUG. + assert_raises(TypeError, np.add, 1, 2, extobj=[4096], parrot=True) + + +class TestUfuncGenericLoops: + """Test generic loops. + + The loops to be tested are: + + PyUFunc_ff_f_As_dd_d + PyUFunc_ff_f + PyUFunc_dd_d + PyUFunc_gg_g + PyUFunc_FF_F_As_DD_D + PyUFunc_DD_D + PyUFunc_FF_F + PyUFunc_GG_G + PyUFunc_OO_O + PyUFunc_OO_O_method + PyUFunc_f_f_As_d_d + PyUFunc_d_d + PyUFunc_f_f + PyUFunc_g_g + PyUFunc_F_F_As_D_D + PyUFunc_F_F + PyUFunc_D_D + PyUFunc_G_G + PyUFunc_O_O + PyUFunc_O_O_method + PyUFunc_On_Om + + Where: + + f -- float + d -- double + g -- long double + F -- complex float + D -- complex double + G -- complex long double + O -- python object + + It is difficult to assure that each of these loops is entered from the + Python level as the special cased loops are a moving target and the + corresponding types are architecture dependent. We probably need to + define C level testing ufuncs to get at them. For the time being, I've + just looked at the signatures registered in the build directory to find + relevant functions. + + """ + np_dtypes = [ + (np.single, np.single), (np.single, np.double), + (np.csingle, np.csingle), (np.csingle, np.cdouble), + (np.double, np.double), (np.longdouble, np.longdouble), + (np.cdouble, np.cdouble), (np.clongdouble, np.clongdouble)] + + @pytest.mark.parametrize('input_dtype,output_dtype', np_dtypes) + def test_unary_PyUFunc(self, input_dtype, output_dtype, f=np.exp, x=0, y=1): + xs = np.full(10, input_dtype(x), dtype=output_dtype) + ys = f(xs)[::2] + assert_allclose(ys, y) + assert_equal(ys.dtype, output_dtype) + + def f2(x, y): + return x**y + + @pytest.mark.parametrize('input_dtype,output_dtype', np_dtypes) + def test_binary_PyUFunc(self, input_dtype, output_dtype, f=f2, x=0, y=1): + xs = np.full(10, input_dtype(x), dtype=output_dtype) + ys = f(xs, xs)[::2] + assert_allclose(ys, y) + assert_equal(ys.dtype, output_dtype) + + # class to use in testing object method loops + class foo: + def conjugate(self): + return np.bool_(1) + + def logical_xor(self, obj): + return np.bool_(1) + + def test_unary_PyUFunc_O_O(self): + x = np.ones(10, dtype=object) + assert_(np.all(np.abs(x) == 1)) + + def test_unary_PyUFunc_O_O_method_simple(self, foo=foo): + x = np.full(10, foo(), dtype=object) + assert_(np.all(np.conjugate(x) == True)) + + def test_binary_PyUFunc_OO_O(self): + x = np.ones(10, dtype=object) + assert_(np.all(np.add(x, x) == 2)) + + def test_binary_PyUFunc_OO_O_method(self, foo=foo): + x = np.full(10, foo(), dtype=object) + assert_(np.all(np.logical_xor(x, x))) + + def test_binary_PyUFunc_On_Om_method(self, foo=foo): + x = np.full((10, 2, 3), foo(), dtype=object) + assert_(np.all(np.logical_xor(x, x))) + + def test_python_complex_conjugate(self): + # The conjugate ufunc should fall back to calling the method: + arr = np.array([1+2j, 3-4j], dtype="O") + assert isinstance(arr[0], complex) + res = np.conjugate(arr) + assert res.dtype == np.dtype("O") + assert_array_equal(res, np.array([1-2j, 3+4j], dtype="O")) + + @pytest.mark.parametrize("ufunc", UNARY_OBJECT_UFUNCS) + def test_unary_PyUFunc_O_O_method_full(self, ufunc): + """Compare the result of the object loop with non-object one""" + val = np.float64(np.pi/4) + + class MyFloat(np.float64): + def __getattr__(self, attr): + try: + return super().__getattr__(attr) + except AttributeError: + return lambda: getattr(np.core.umath, attr)(val) + + # Use 0-D arrays, to ensure the same element call + num_arr = np.array(val, dtype=np.float64) + obj_arr = np.array(MyFloat(val), dtype="O") + + with np.errstate(all="raise"): + try: + res_num = ufunc(num_arr) + except Exception as exc: + with assert_raises(type(exc)): + ufunc(obj_arr) + else: + res_obj = ufunc(obj_arr) + assert_array_almost_equal(res_num.astype("O"), res_obj) + + +def _pickleable_module_global(): + pass + + +class TestUfunc: + def test_pickle(self): + for proto in range(2, pickle.HIGHEST_PROTOCOL + 1): + assert_(pickle.loads(pickle.dumps(np.sin, + protocol=proto)) is np.sin) + + # Check that ufunc not defined in the top level numpy namespace + # such as numpy.core._rational_tests.test_add can also be pickled + res = pickle.loads(pickle.dumps(_rational_tests.test_add, + protocol=proto)) + assert_(res is _rational_tests.test_add) + + def test_pickle_withstring(self): + astring = (b"cnumpy.core\n_ufunc_reconstruct\np0\n" + b"(S'numpy.core.umath'\np1\nS'cos'\np2\ntp3\nRp4\n.") + assert_(pickle.loads(astring) is np.cos) + + @pytest.mark.skipif(IS_PYPY, reason="'is' check does not work on PyPy") + def test_pickle_name_is_qualname(self): + # This tests that a simplification of our ufunc pickle code will + # lead to allowing qualnames as names. Future ufuncs should + # possible add a specific qualname, or a hook into pickling instead + # (dask+numba may benefit). + _pickleable_module_global.ufunc = umt._pickleable_module_global_ufunc + obj = pickle.loads(pickle.dumps(_pickleable_module_global.ufunc)) + assert obj is umt._pickleable_module_global_ufunc + + def test_reduceat_shifting_sum(self): + L = 6 + x = np.arange(L) + idx = np.array(list(zip(np.arange(L - 2), np.arange(L - 2) + 2))).ravel() + assert_array_equal(np.add.reduceat(x, idx)[::2], [1, 3, 5, 7]) + + def test_all_ufunc(self): + """Try to check presence and results of all ufuncs. + + The list of ufuncs comes from generate_umath.py and is as follows: + + ===== ==== ============= =============== ======================== + done args function types notes + ===== ==== ============= =============== ======================== + n 1 conjugate nums + O + n 1 absolute nums + O complex -> real + n 1 negative nums + O + n 1 sign nums + O -> int + n 1 invert bool + ints + O flts raise an error + n 1 degrees real + M cmplx raise an error + n 1 radians real + M cmplx raise an error + n 1 arccos flts + M + n 1 arccosh flts + M + n 1 arcsin flts + M + n 1 arcsinh flts + M + n 1 arctan flts + M + n 1 arctanh flts + M + n 1 cos flts + M + n 1 sin flts + M + n 1 tan flts + M + n 1 cosh flts + M + n 1 sinh flts + M + n 1 tanh flts + M + n 1 exp flts + M + n 1 expm1 flts + M + n 1 log flts + M + n 1 log10 flts + M + n 1 log1p flts + M + n 1 sqrt flts + M real x < 0 raises error + n 1 ceil real + M + n 1 trunc real + M + n 1 floor real + M + n 1 fabs real + M + n 1 rint flts + M + n 1 isnan flts -> bool + n 1 isinf flts -> bool + n 1 isfinite flts -> bool + n 1 signbit real -> bool + n 1 modf real -> (frac, int) + n 1 logical_not bool + nums + M -> bool + n 2 left_shift ints + O flts raise an error + n 2 right_shift ints + O flts raise an error + n 2 add bool + nums + O boolean + is || + n 2 subtract bool + nums + O boolean - is ^ + n 2 multiply bool + nums + O boolean * is & + n 2 divide nums + O + n 2 floor_divide nums + O + n 2 true_divide nums + O bBhH -> f, iIlLqQ -> d + n 2 fmod nums + M + n 2 power nums + O + n 2 greater bool + nums + O -> bool + n 2 greater_equal bool + nums + O -> bool + n 2 less bool + nums + O -> bool + n 2 less_equal bool + nums + O -> bool + n 2 equal bool + nums + O -> bool + n 2 not_equal bool + nums + O -> bool + n 2 logical_and bool + nums + M -> bool + n 2 logical_or bool + nums + M -> bool + n 2 logical_xor bool + nums + M -> bool + n 2 maximum bool + nums + O + n 2 minimum bool + nums + O + n 2 bitwise_and bool + ints + O flts raise an error + n 2 bitwise_or bool + ints + O flts raise an error + n 2 bitwise_xor bool + ints + O flts raise an error + n 2 arctan2 real + M + n 2 remainder ints + real + O + n 2 hypot real + M + ===== ==== ============= =============== ======================== + + Types other than those listed will be accepted, but they are cast to + the smallest compatible type for which the function is defined. The + casting rules are: + + bool -> int8 -> float32 + ints -> double + + """ + pass + + # from include/numpy/ufuncobject.h + size_inferred = 2 + can_ignore = 4 + def test_signature0(self): + # the arguments to test_signature are: nin, nout, core_signature + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 2, 1, "(i),(i)->()") + assert_equal(enabled, 1) + assert_equal(num_dims, (1, 1, 0)) + assert_equal(ixs, (0, 0)) + assert_equal(flags, (self.size_inferred,)) + assert_equal(sizes, (-1,)) + + def test_signature1(self): + # empty core signature; treat as plain ufunc (with trivial core) + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 2, 1, "(),()->()") + assert_equal(enabled, 0) + assert_equal(num_dims, (0, 0, 0)) + assert_equal(ixs, ()) + assert_equal(flags, ()) + assert_equal(sizes, ()) + + def test_signature2(self): + # more complicated names for variables + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 2, 1, "(i1,i2),(J_1)->(_kAB)") + assert_equal(enabled, 1) + assert_equal(num_dims, (2, 1, 1)) + assert_equal(ixs, (0, 1, 2, 3)) + assert_equal(flags, (self.size_inferred,)*4) + assert_equal(sizes, (-1, -1, -1, -1)) + + def test_signature3(self): + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 2, 1, "(i1, i12), (J_1)->(i12, i2)") + assert_equal(enabled, 1) + assert_equal(num_dims, (2, 1, 2)) + assert_equal(ixs, (0, 1, 2, 1, 3)) + assert_equal(flags, (self.size_inferred,)*4) + assert_equal(sizes, (-1, -1, -1, -1)) + + def test_signature4(self): + # matrix_multiply signature from _umath_tests + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 2, 1, "(n,k),(k,m)->(n,m)") + assert_equal(enabled, 1) + assert_equal(num_dims, (2, 2, 2)) + assert_equal(ixs, (0, 1, 1, 2, 0, 2)) + assert_equal(flags, (self.size_inferred,)*3) + assert_equal(sizes, (-1, -1, -1)) + + def test_signature5(self): + # matmul signature from _umath_tests + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 2, 1, "(n?,k),(k,m?)->(n?,m?)") + assert_equal(enabled, 1) + assert_equal(num_dims, (2, 2, 2)) + assert_equal(ixs, (0, 1, 1, 2, 0, 2)) + assert_equal(flags, (self.size_inferred | self.can_ignore, + self.size_inferred, + self.size_inferred | self.can_ignore)) + assert_equal(sizes, (-1, -1, -1)) + + def test_signature6(self): + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 1, 1, "(3)->()") + assert_equal(enabled, 1) + assert_equal(num_dims, (1, 0)) + assert_equal(ixs, (0,)) + assert_equal(flags, (0,)) + assert_equal(sizes, (3,)) + + def test_signature7(self): + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 3, 1, "(3),(03,3),(n)->(9)") + assert_equal(enabled, 1) + assert_equal(num_dims, (1, 2, 1, 1)) + assert_equal(ixs, (0, 0, 0, 1, 2)) + assert_equal(flags, (0, self.size_inferred, 0)) + assert_equal(sizes, (3, -1, 9)) + + def test_signature8(self): + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 3, 1, "(3?),(3?,3?),(n)->(9)") + assert_equal(enabled, 1) + assert_equal(num_dims, (1, 2, 1, 1)) + assert_equal(ixs, (0, 0, 0, 1, 2)) + assert_equal(flags, (self.can_ignore, self.size_inferred, 0)) + assert_equal(sizes, (3, -1, 9)) + + def test_signature9(self): + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 1, 1, "( 3) -> ( )") + assert_equal(enabled, 1) + assert_equal(num_dims, (1, 0)) + assert_equal(ixs, (0,)) + assert_equal(flags, (0,)) + assert_equal(sizes, (3,)) + + def test_signature10(self): + enabled, num_dims, ixs, flags, sizes = umt.test_signature( + 3, 1, "( 3? ) , (3? , 3?) ,(n )-> ( 9)") + assert_equal(enabled, 1) + assert_equal(num_dims, (1, 2, 1, 1)) + assert_equal(ixs, (0, 0, 0, 1, 2)) + assert_equal(flags, (self.can_ignore, self.size_inferred, 0)) + assert_equal(sizes, (3, -1, 9)) + + def test_signature_failure_extra_parenthesis(self): + with assert_raises(ValueError): + umt.test_signature(2, 1, "((i)),(i)->()") + + def test_signature_failure_mismatching_parenthesis(self): + with assert_raises(ValueError): + umt.test_signature(2, 1, "(i),)i(->()") + + def test_signature_failure_signature_missing_input_arg(self): + with assert_raises(ValueError): + umt.test_signature(2, 1, "(i),->()") + + def test_signature_failure_signature_missing_output_arg(self): + with assert_raises(ValueError): + umt.test_signature(2, 2, "(i),(i)->()") + + def test_get_signature(self): + assert_equal(umt.inner1d.signature, "(i),(i)->()") + + def test_forced_sig(self): + a = 0.5*np.arange(3, dtype='f8') + assert_equal(np.add(a, 0.5), [0.5, 1, 1.5]) + with pytest.warns(DeprecationWarning): + assert_equal(np.add(a, 0.5, sig='i', casting='unsafe'), [0, 0, 1]) + assert_equal(np.add(a, 0.5, sig='ii->i', casting='unsafe'), [0, 0, 1]) + with pytest.warns(DeprecationWarning): + assert_equal(np.add(a, 0.5, sig=('i4',), casting='unsafe'), + [0, 0, 1]) + assert_equal(np.add(a, 0.5, sig=('i4', 'i4', 'i4'), + casting='unsafe'), [0, 0, 1]) + + b = np.zeros((3,), dtype='f8') + np.add(a, 0.5, out=b) + assert_equal(b, [0.5, 1, 1.5]) + b[:] = 0 + with pytest.warns(DeprecationWarning): + np.add(a, 0.5, sig='i', out=b, casting='unsafe') + assert_equal(b, [0, 0, 1]) + b[:] = 0 + np.add(a, 0.5, sig='ii->i', out=b, casting='unsafe') + assert_equal(b, [0, 0, 1]) + b[:] = 0 + with pytest.warns(DeprecationWarning): + np.add(a, 0.5, sig=('i4',), out=b, casting='unsafe') + assert_equal(b, [0, 0, 1]) + b[:] = 0 + np.add(a, 0.5, sig=('i4', 'i4', 'i4'), out=b, casting='unsafe') + assert_equal(b, [0, 0, 1]) + + def test_signature_all_None(self): + # signature all None, is an acceptable alternative (since 1.21) + # to not providing a signature. + res1 = np.add([3], [4], sig=(None, None, None)) + res2 = np.add([3], [4]) + assert_array_equal(res1, res2) + res1 = np.maximum([3], [4], sig=(None, None, None)) + res2 = np.maximum([3], [4]) + assert_array_equal(res1, res2) + + with pytest.raises(TypeError): + # special case, that would be deprecated anyway, so errors: + np.add(3, 4, signature=(None,)) + + def test_signature_dtype_type(self): + # Since that will be the normal behaviour (past NumPy 1.21) + # we do support the types already: + float_dtype = type(np.dtype(np.float64)) + np.add(3, 4, signature=(float_dtype, float_dtype, None)) + + @pytest.mark.parametrize("get_kwarg", [ + lambda dt: dict(dtype=x), + lambda dt: dict(signature=(x, None, None))]) + def test_signature_dtype_instances_allowed(self, get_kwarg): + # We allow certain dtype instances when there is a clear singleton + # and the given one is equivalent; mainly for backcompat. + int64 = np.dtype("int64") + int64_2 = pickle.loads(pickle.dumps(int64)) + # Relies on pickling behavior, if assert fails just remove test... + assert int64 is not int64_2 + + assert np.add(1, 2, **get_kwarg(int64_2)).dtype == int64 + td = np.timedelta(2, "s") + assert np.add(td, td, **get_kwarg("m8")).dtype == "m8[s]" + + @pytest.mark.parametrize("get_kwarg", [ + param(lambda x: dict(dtype=x), id="dtype"), + param(lambda x: dict(signature=(x, None, None)), id="signature")]) + def test_signature_dtype_instances_allowed(self, get_kwarg): + msg = "The `dtype` and `signature` arguments to ufuncs" + + with pytest.raises(TypeError, match=msg): + np.add(3, 5, **get_kwarg(np.dtype("int64").newbyteorder())) + with pytest.raises(TypeError, match=msg): + np.add(3, 5, **get_kwarg(np.dtype("m8[ns]"))) + with pytest.raises(TypeError, match=msg): + np.add(3, 5, **get_kwarg("m8[ns]")) + + @pytest.mark.parametrize("casting", ["unsafe", "same_kind", "safe"]) + def test_partial_signature_mismatch(self, casting): + # If the second argument matches already, no need to specify it: + res = np.ldexp(np.float32(1.), np.int_(2), dtype="d") + assert res.dtype == "d" + res = np.ldexp(np.float32(1.), np.int_(2), signature=(None, None, "d")) + assert res.dtype == "d" + + # ldexp only has a loop for long input as second argument, overriding + # the output cannot help with that (no matter the casting) + with pytest.raises(TypeError): + np.ldexp(1., np.uint64(3), dtype="d") + with pytest.raises(TypeError): + np.ldexp(1., np.uint64(3), signature=(None, None, "d")) + + def test_partial_signature_mismatch_with_cache(self): + with pytest.raises(TypeError): + np.add(np.float16(1), np.uint64(2), sig=("e", "d", None)) + # Ensure e,d->None is in the dispatching cache (double loop) + np.add(np.float16(1), np.float64(2)) + # The error must still be raised: + with pytest.raises(TypeError): + np.add(np.float16(1), np.uint64(2), sig=("e", "d", None)) + + def test_use_output_signature_for_all_arguments(self): + # Test that providing only `dtype=` or `signature=(None, None, dtype)` + # is sufficient if falling back to a homogeneous signature works. + # In this case, the `intp, intp -> intp` loop is chosen. + res = np.power(1.5, 2.8, dtype=np.intp, casting="unsafe") + assert res == 1 # the cast happens first. + res = np.power(1.5, 2.8, signature=(None, None, np.intp), + casting="unsafe") + assert res == 1 + with pytest.raises(TypeError): + # the unsafe casting would normally cause errors though: + np.power(1.5, 2.8, dtype=np.intp) + + def test_signature_errors(self): + with pytest.raises(TypeError, + match="the signature object to ufunc must be a string or"): + np.add(3, 4, signature=123.) # neither a string nor a tuple + + with pytest.raises(ValueError): + # bad symbols that do not translate to dtypes + np.add(3, 4, signature="%^->#") + + with pytest.raises(ValueError): + np.add(3, 4, signature=b"ii-i") # incomplete and byte string + + with pytest.raises(ValueError): + np.add(3, 4, signature="ii>i") # incomplete string + + with pytest.raises(ValueError): + np.add(3, 4, signature=(None, "f8")) # bad length + + with pytest.raises(UnicodeDecodeError): + np.add(3, 4, signature=b"\xff\xff->i") + + def test_forced_dtype_times(self): + # Signatures only set the type numbers (not the actual loop dtypes) + # so using `M` in a signature/dtype should generally work: + a = np.array(['2010-01-02', '1999-03-14', '1833-03'], dtype='>M8[D]') + np.maximum(a, a, dtype="M") + np.maximum.reduce(a, dtype="M") + + arr = np.arange(10, dtype="m8[s]") + np.add(arr, arr, dtype="m") + np.maximum(arr, arr, dtype="m") + + @pytest.mark.parametrize("ufunc", [np.add, np.sqrt]) + def test_cast_safety(self, ufunc): + """Basic test for the safest casts, because ufuncs inner loops can + indicate a cast-safety as well (which is normally always "no"). + """ + def call_ufunc(arr, **kwargs): + return ufunc(*(arr,) * ufunc.nin, **kwargs) + + arr = np.array([1., 2., 3.], dtype=np.float32) + arr_bs = arr.astype(arr.dtype.newbyteorder()) + expected = call_ufunc(arr) + # Normally, a "no" cast: + res = call_ufunc(arr, casting="no") + assert_array_equal(expected, res) + # Byte-swapping is not allowed with "no" though: + with pytest.raises(TypeError): + call_ufunc(arr_bs, casting="no") + + # But is allowed with "equiv": + res = call_ufunc(arr_bs, casting="equiv") + assert_array_equal(expected, res) + + # Casting to float64 is safe, but not equiv: + with pytest.raises(TypeError): + call_ufunc(arr_bs, dtype=np.float64, casting="equiv") + + # but it is safe cast: + res = call_ufunc(arr_bs, dtype=np.float64, casting="safe") + expected = call_ufunc(arr.astype(np.float64)) # upcast + assert_array_equal(expected, res) + + def test_true_divide(self): + a = np.array(10) + b = np.array(20) + tgt = np.array(0.5) + + for tc in 'bhilqBHILQefdgFDG': + dt = np.dtype(tc) + aa = a.astype(dt) + bb = b.astype(dt) + + # Check result value and dtype. + for x, y in itertools.product([aa, -aa], [bb, -bb]): + + # Check with no output type specified + if tc in 'FDG': + tgt = complex(x)/complex(y) + else: + tgt = float(x)/float(y) + + res = np.true_divide(x, y) + rtol = max(np.finfo(res).resolution, 1e-15) + assert_allclose(res, tgt, rtol=rtol) + + if tc in 'bhilqBHILQ': + assert_(res.dtype.name == 'float64') + else: + assert_(res.dtype.name == dt.name ) + + # Check with output type specified. This also checks for the + # incorrect casts in issue gh-3484 because the unary '-' does + # not change types, even for unsigned types, Hence casts in the + # ufunc from signed to unsigned and vice versa will lead to + # errors in the values. + for tcout in 'bhilqBHILQ': + dtout = np.dtype(tcout) + assert_raises(TypeError, np.true_divide, x, y, dtype=dtout) + + for tcout in 'efdg': + dtout = np.dtype(tcout) + if tc in 'FDG': + # Casting complex to float is not allowed + assert_raises(TypeError, np.true_divide, x, y, dtype=dtout) + else: + tgt = float(x)/float(y) + rtol = max(np.finfo(dtout).resolution, 1e-15) + # The value of tiny for double double is NaN + with suppress_warnings() as sup: + sup.filter(UserWarning) + if not np.isnan(np.finfo(dtout).tiny): + atol = max(np.finfo(dtout).tiny, 3e-308) + else: + atol = 3e-308 + # Some test values result in invalid for float16 + # and the cast to it may overflow to inf. + with np.errstate(invalid='ignore', over='ignore'): + res = np.true_divide(x, y, dtype=dtout) + if not np.isfinite(res) and tcout == 'e': + continue + assert_allclose(res, tgt, rtol=rtol, atol=atol) + assert_(res.dtype.name == dtout.name) + + for tcout in 'FDG': + dtout = np.dtype(tcout) + tgt = complex(x)/complex(y) + rtol = max(np.finfo(dtout).resolution, 1e-15) + # The value of tiny for double double is NaN + with suppress_warnings() as sup: + sup.filter(UserWarning) + if not np.isnan(np.finfo(dtout).tiny): + atol = max(np.finfo(dtout).tiny, 3e-308) + else: + atol = 3e-308 + res = np.true_divide(x, y, dtype=dtout) + if not np.isfinite(res): + continue + assert_allclose(res, tgt, rtol=rtol, atol=atol) + assert_(res.dtype.name == dtout.name) + + # Check booleans + a = np.ones((), dtype=np.bool_) + res = np.true_divide(a, a) + assert_(res == 1.0) + assert_(res.dtype.name == 'float64') + res = np.true_divide(~a, a) + assert_(res == 0.0) + assert_(res.dtype.name == 'float64') + + def test_sum_stability(self): + a = np.ones(500, dtype=np.float32) + assert_almost_equal((a / 10.).sum() - a.size / 10., 0, 4) + + a = np.ones(500, dtype=np.float64) + assert_almost_equal((a / 10.).sum() - a.size / 10., 0, 13) + + @pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") + def test_sum(self): + for dt in (int, np.float16, np.float32, np.float64, np.longdouble): + for v in (0, 1, 2, 7, 8, 9, 15, 16, 19, 127, + 128, 1024, 1235): + # warning if sum overflows, which it does in float16 + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter("always", RuntimeWarning) + + tgt = dt(v * (v + 1) / 2) + overflow = not np.isfinite(tgt) + assert_equal(len(w), 1 * overflow) + + d = np.arange(1, v + 1, dtype=dt) + + assert_almost_equal(np.sum(d), tgt) + assert_equal(len(w), 2 * overflow) + + assert_almost_equal(np.sum(d[::-1]), tgt) + assert_equal(len(w), 3 * overflow) + + d = np.ones(500, dtype=dt) + assert_almost_equal(np.sum(d[::2]), 250.) + assert_almost_equal(np.sum(d[1::2]), 250.) + assert_almost_equal(np.sum(d[::3]), 167.) + assert_almost_equal(np.sum(d[1::3]), 167.) + assert_almost_equal(np.sum(d[::-2]), 250.) + assert_almost_equal(np.sum(d[-1::-2]), 250.) + assert_almost_equal(np.sum(d[::-3]), 167.) + assert_almost_equal(np.sum(d[-1::-3]), 167.) + # sum with first reduction entry != 0 + d = np.ones((1,), dtype=dt) + d += d + assert_almost_equal(d, 2.) + + def test_sum_complex(self): + for dt in (np.complex64, np.complex128, np.clongdouble): + for v in (0, 1, 2, 7, 8, 9, 15, 16, 19, 127, + 128, 1024, 1235): + tgt = dt(v * (v + 1) / 2) - dt((v * (v + 1) / 2) * 1j) + d = np.empty(v, dtype=dt) + d.real = np.arange(1, v + 1) + d.imag = -np.arange(1, v + 1) + assert_almost_equal(np.sum(d), tgt) + assert_almost_equal(np.sum(d[::-1]), tgt) + + d = np.ones(500, dtype=dt) + 1j + assert_almost_equal(np.sum(d[::2]), 250. + 250j) + assert_almost_equal(np.sum(d[1::2]), 250. + 250j) + assert_almost_equal(np.sum(d[::3]), 167. + 167j) + assert_almost_equal(np.sum(d[1::3]), 167. + 167j) + assert_almost_equal(np.sum(d[::-2]), 250. + 250j) + assert_almost_equal(np.sum(d[-1::-2]), 250. + 250j) + assert_almost_equal(np.sum(d[::-3]), 167. + 167j) + assert_almost_equal(np.sum(d[-1::-3]), 167. + 167j) + # sum with first reduction entry != 0 + d = np.ones((1,), dtype=dt) + 1j + d += d + assert_almost_equal(d, 2. + 2j) + + def test_sum_initial(self): + # Integer, single axis + assert_equal(np.sum([3], initial=2), 5) + + # Floating point + assert_almost_equal(np.sum([0.2], initial=0.1), 0.3) + + # Multiple non-adjacent axes + assert_equal(np.sum(np.ones((2, 3, 5), dtype=np.int64), axis=(0, 2), initial=2), + [12, 12, 12]) + + def test_sum_where(self): + # More extensive tests done in test_reduction_with_where. + assert_equal(np.sum([[1., 2.], [3., 4.]], where=[True, False]), 4.) + assert_equal(np.sum([[1., 2.], [3., 4.]], axis=0, initial=5., + where=[True, False]), [9., 5.]) + + def test_inner1d(self): + a = np.arange(6).reshape((2, 3)) + assert_array_equal(umt.inner1d(a, a), np.sum(a*a, axis=-1)) + a = np.arange(6) + assert_array_equal(umt.inner1d(a, a), np.sum(a*a)) + + def test_broadcast(self): + msg = "broadcast" + a = np.arange(4).reshape((2, 1, 2)) + b = np.arange(4).reshape((1, 2, 2)) + assert_array_equal(umt.inner1d(a, b), np.sum(a*b, axis=-1), err_msg=msg) + msg = "extend & broadcast loop dimensions" + b = np.arange(4).reshape((2, 2)) + assert_array_equal(umt.inner1d(a, b), np.sum(a*b, axis=-1), err_msg=msg) + # Broadcast in core dimensions should fail + a = np.arange(8).reshape((4, 2)) + b = np.arange(4).reshape((4, 1)) + assert_raises(ValueError, umt.inner1d, a, b) + # Extend core dimensions should fail + a = np.arange(8).reshape((4, 2)) + b = np.array(7) + assert_raises(ValueError, umt.inner1d, a, b) + # Broadcast should fail + a = np.arange(2).reshape((2, 1, 1)) + b = np.arange(3).reshape((3, 1, 1)) + assert_raises(ValueError, umt.inner1d, a, b) + + # Writing to a broadcasted array with overlap should warn, gh-2705 + a = np.arange(2) + b = np.arange(4).reshape((2, 2)) + u, v = np.broadcast_arrays(a, b) + assert_equal(u.strides[0], 0) + x = u + v + with warnings.catch_warnings(record=True) as w: + warnings.simplefilter("always") + u += v + assert_equal(len(w), 1) + assert_(x[0, 0] != u[0, 0]) + + # Output reduction should not be allowed. + # See gh-15139 + a = np.arange(6).reshape(3, 2) + b = np.ones(2) + out = np.empty(()) + assert_raises(ValueError, umt.inner1d, a, b, out) + out2 = np.empty(3) + c = umt.inner1d(a, b, out2) + assert_(c is out2) + + def test_out_broadcasts(self): + # For ufuncs and gufuncs (not for reductions), we currently allow + # the output to cause broadcasting of the input arrays. + # both along dimensions with shape 1 and dimensions which do not + # exist at all in the inputs. + arr = np.arange(3).reshape(1, 3) + out = np.empty((5, 4, 3)) + np.add(arr, arr, out=out) + assert (out == np.arange(3) * 2).all() + + # The same holds for gufuncs (gh-16484) + umt.inner1d(arr, arr, out=out) + # the result would be just a scalar `5`, but is broadcast fully: + assert (out == 5).all() + + @pytest.mark.parametrize(["arr", "out"], [ + ([2], np.empty(())), + ([1, 2], np.empty(1)), + (np.ones((4, 3)), np.empty((4, 1)))], + ids=["(1,)->()", "(2,)->(1,)", "(4, 3)->(4, 1)"]) + def test_out_broadcast_errors(self, arr, out): + # Output is (currently) allowed to broadcast inputs, but it cannot be + # smaller than the actual result. + with pytest.raises(ValueError, match="non-broadcastable"): + np.positive(arr, out=out) + + with pytest.raises(ValueError, match="non-broadcastable"): + np.add(np.ones(()), arr, out=out) + + def test_type_cast(self): + msg = "type cast" + a = np.arange(6, dtype='short').reshape((2, 3)) + assert_array_equal(umt.inner1d(a, a), np.sum(a*a, axis=-1), + err_msg=msg) + msg = "type cast on one argument" + a = np.arange(6).reshape((2, 3)) + b = a + 0.1 + assert_array_almost_equal(umt.inner1d(a, b), np.sum(a*b, axis=-1), + err_msg=msg) + + def test_endian(self): + msg = "big endian" + a = np.arange(6, dtype='>i4').reshape((2, 3)) + assert_array_equal(umt.inner1d(a, a), np.sum(a*a, axis=-1), + err_msg=msg) + msg = "little endian" + a = np.arange(6, dtype='<i4').reshape((2, 3)) + assert_array_equal(umt.inner1d(a, a), np.sum(a*a, axis=-1), + err_msg=msg) + + # Output should always be native-endian + Ba = np.arange(1, dtype='>f8') + La = np.arange(1, dtype='<f8') + assert_equal((Ba+Ba).dtype, np.dtype('f8')) + assert_equal((Ba+La).dtype, np.dtype('f8')) + assert_equal((La+Ba).dtype, np.dtype('f8')) + assert_equal((La+La).dtype, np.dtype('f8')) + + assert_equal(np.absolute(La).dtype, np.dtype('f8')) + assert_equal(np.absolute(Ba).dtype, np.dtype('f8')) + assert_equal(np.negative(La).dtype, np.dtype('f8')) + assert_equal(np.negative(Ba).dtype, np.dtype('f8')) + + def test_incontiguous_array(self): + msg = "incontiguous memory layout of array" + x = np.arange(64).reshape((2, 2, 2, 2, 2, 2)) + a = x[:, 0,:, 0,:, 0] + b = x[:, 1,:, 1,:, 1] + a[0, 0, 0] = -1 + msg2 = "make sure it references to the original array" + assert_equal(x[0, 0, 0, 0, 0, 0], -1, err_msg=msg2) + assert_array_equal(umt.inner1d(a, b), np.sum(a*b, axis=-1), err_msg=msg) + x = np.arange(24).reshape(2, 3, 4) + a = x.T + b = x.T + a[0, 0, 0] = -1 + assert_equal(x[0, 0, 0], -1, err_msg=msg2) + assert_array_equal(umt.inner1d(a, b), np.sum(a*b, axis=-1), err_msg=msg) + + def test_output_argument(self): + msg = "output argument" + a = np.arange(12).reshape((2, 3, 2)) + b = np.arange(4).reshape((2, 1, 2)) + 1 + c = np.zeros((2, 3), dtype='int') + umt.inner1d(a, b, c) + assert_array_equal(c, np.sum(a*b, axis=-1), err_msg=msg) + c[:] = -1 + umt.inner1d(a, b, out=c) + assert_array_equal(c, np.sum(a*b, axis=-1), err_msg=msg) + + msg = "output argument with type cast" + c = np.zeros((2, 3), dtype='int16') + umt.inner1d(a, b, c) + assert_array_equal(c, np.sum(a*b, axis=-1), err_msg=msg) + c[:] = -1 + umt.inner1d(a, b, out=c) + assert_array_equal(c, np.sum(a*b, axis=-1), err_msg=msg) + + msg = "output argument with incontiguous layout" + c = np.zeros((2, 3, 4), dtype='int16') + umt.inner1d(a, b, c[..., 0]) + assert_array_equal(c[..., 0], np.sum(a*b, axis=-1), err_msg=msg) + c[:] = -1 + umt.inner1d(a, b, out=c[..., 0]) + assert_array_equal(c[..., 0], np.sum(a*b, axis=-1), err_msg=msg) + + def test_axes_argument(self): + # inner1d signature: '(i),(i)->()' + inner1d = umt.inner1d + a = np.arange(27.).reshape((3, 3, 3)) + b = np.arange(10., 19.).reshape((3, 1, 3)) + # basic tests on inputs (outputs tested below with matrix_multiply). + c = inner1d(a, b) + assert_array_equal(c, (a * b).sum(-1)) + # default + c = inner1d(a, b, axes=[(-1,), (-1,), ()]) + assert_array_equal(c, (a * b).sum(-1)) + # integers ok for single axis. + c = inner1d(a, b, axes=[-1, -1, ()]) + assert_array_equal(c, (a * b).sum(-1)) + # mix fine + c = inner1d(a, b, axes=[(-1,), -1, ()]) + assert_array_equal(c, (a * b).sum(-1)) + # can omit last axis. + c = inner1d(a, b, axes=[-1, -1]) + assert_array_equal(c, (a * b).sum(-1)) + # can pass in other types of integer (with __index__ protocol) + c = inner1d(a, b, axes=[np.int8(-1), np.array(-1, dtype=np.int32)]) + assert_array_equal(c, (a * b).sum(-1)) + # swap some axes + c = inner1d(a, b, axes=[0, 0]) + assert_array_equal(c, (a * b).sum(0)) + c = inner1d(a, b, axes=[0, 2]) + assert_array_equal(c, (a.transpose(1, 2, 0) * b).sum(-1)) + # Check errors for improperly constructed axes arguments. + # should have list. + assert_raises(TypeError, inner1d, a, b, axes=-1) + # needs enough elements + assert_raises(ValueError, inner1d, a, b, axes=[-1]) + # should pass in indices. + assert_raises(TypeError, inner1d, a, b, axes=[-1.0, -1.0]) + assert_raises(TypeError, inner1d, a, b, axes=[(-1.0,), -1]) + assert_raises(TypeError, inner1d, a, b, axes=[None, 1]) + # cannot pass an index unless there is only one dimension + # (output is wrong in this case) + assert_raises(np.AxisError, inner1d, a, b, axes=[-1, -1, -1]) + # or pass in generally the wrong number of axes + assert_raises(np.AxisError, inner1d, a, b, axes=[-1, -1, (-1,)]) + assert_raises(np.AxisError, inner1d, a, b, axes=[-1, (-2, -1), ()]) + # axes need to have same length. + assert_raises(ValueError, inner1d, a, b, axes=[0, 1]) + + # matrix_multiply signature: '(m,n),(n,p)->(m,p)' + mm = umt.matrix_multiply + a = np.arange(12).reshape((2, 3, 2)) + b = np.arange(8).reshape((2, 2, 2, 1)) + 1 + # Sanity check. + c = mm(a, b) + assert_array_equal(c, np.matmul(a, b)) + # Default axes. + c = mm(a, b, axes=[(-2, -1), (-2, -1), (-2, -1)]) + assert_array_equal(c, np.matmul(a, b)) + # Default with explicit axes. + c = mm(a, b, axes=[(1, 2), (2, 3), (2, 3)]) + assert_array_equal(c, np.matmul(a, b)) + # swap some axes. + c = mm(a, b, axes=[(0, -1), (1, 2), (-2, -1)]) + assert_array_equal(c, np.matmul(a.transpose(1, 0, 2), + b.transpose(0, 3, 1, 2))) + # Default with output array. + c = np.empty((2, 2, 3, 1)) + d = mm(a, b, out=c, axes=[(1, 2), (2, 3), (2, 3)]) + assert_(c is d) + assert_array_equal(c, np.matmul(a, b)) + # Transposed output array + c = np.empty((1, 2, 2, 3)) + d = mm(a, b, out=c, axes=[(-2, -1), (-2, -1), (3, 0)]) + assert_(c is d) + assert_array_equal(c, np.matmul(a, b).transpose(3, 0, 1, 2)) + # Check errors for improperly constructed axes arguments. + # wrong argument + assert_raises(TypeError, mm, a, b, axis=1) + # axes should be list + assert_raises(TypeError, mm, a, b, axes=1) + assert_raises(TypeError, mm, a, b, axes=((-2, -1), (-2, -1), (-2, -1))) + # list needs to have right length + assert_raises(ValueError, mm, a, b, axes=[]) + assert_raises(ValueError, mm, a, b, axes=[(-2, -1)]) + # list should not contain None, or lists + assert_raises(TypeError, mm, a, b, axes=[None, None, None]) + assert_raises(TypeError, + mm, a, b, axes=[[-2, -1], [-2, -1], [-2, -1]]) + assert_raises(TypeError, + mm, a, b, axes=[(-2, -1), (-2, -1), [-2, -1]]) + assert_raises(TypeError, mm, a, b, axes=[(-2, -1), (-2, -1), None]) + # single integers are AxisErrors if more are required + assert_raises(np.AxisError, mm, a, b, axes=[-1, -1, -1]) + assert_raises(np.AxisError, mm, a, b, axes=[(-2, -1), (-2, -1), -1]) + # tuples should not have duplicated values + assert_raises(ValueError, mm, a, b, axes=[(-2, -1), (-2, -1), (-2, -2)]) + # arrays should have enough axes. + z = np.zeros((2, 2)) + assert_raises(ValueError, mm, z, z[0]) + assert_raises(ValueError, mm, z, z, out=z[:, 0]) + assert_raises(ValueError, mm, z[1], z, axes=[0, 1]) + assert_raises(ValueError, mm, z, z, out=z[0], axes=[0, 1]) + # Regular ufuncs should not accept axes. + assert_raises(TypeError, np.add, 1., 1., axes=[0]) + # should be able to deal with bad unrelated kwargs. + assert_raises(TypeError, mm, z, z, axes=[0, 1], parrot=True) + + def test_axis_argument(self): + # inner1d signature: '(i),(i)->()' + inner1d = umt.inner1d + a = np.arange(27.).reshape((3, 3, 3)) + b = np.arange(10., 19.).reshape((3, 1, 3)) + c = inner1d(a, b) + assert_array_equal(c, (a * b).sum(-1)) + c = inner1d(a, b, axis=-1) + assert_array_equal(c, (a * b).sum(-1)) + out = np.zeros_like(c) + d = inner1d(a, b, axis=-1, out=out) + assert_(d is out) + assert_array_equal(d, c) + c = inner1d(a, b, axis=0) + assert_array_equal(c, (a * b).sum(0)) + # Sanity checks on innerwt and cumsum. + a = np.arange(6).reshape((2, 3)) + b = np.arange(10, 16).reshape((2, 3)) + w = np.arange(20, 26).reshape((2, 3)) + assert_array_equal(umt.innerwt(a, b, w, axis=0), + np.sum(a * b * w, axis=0)) + assert_array_equal(umt.cumsum(a, axis=0), np.cumsum(a, axis=0)) + assert_array_equal(umt.cumsum(a, axis=-1), np.cumsum(a, axis=-1)) + out = np.empty_like(a) + b = umt.cumsum(a, out=out, axis=0) + assert_(out is b) + assert_array_equal(b, np.cumsum(a, axis=0)) + b = umt.cumsum(a, out=out, axis=1) + assert_(out is b) + assert_array_equal(b, np.cumsum(a, axis=-1)) + # Check errors. + # Cannot pass in both axis and axes. + assert_raises(TypeError, inner1d, a, b, axis=0, axes=[0, 0]) + # Not an integer. + assert_raises(TypeError, inner1d, a, b, axis=[0]) + # more than 1 core dimensions. + mm = umt.matrix_multiply + assert_raises(TypeError, mm, a, b, axis=1) + # Output wrong size in axis. + out = np.empty((1, 2, 3), dtype=a.dtype) + assert_raises(ValueError, umt.cumsum, a, out=out, axis=0) + # Regular ufuncs should not accept axis. + assert_raises(TypeError, np.add, 1., 1., axis=0) + + def test_keepdims_argument(self): + # inner1d signature: '(i),(i)->()' + inner1d = umt.inner1d + a = np.arange(27.).reshape((3, 3, 3)) + b = np.arange(10., 19.).reshape((3, 1, 3)) + c = inner1d(a, b) + assert_array_equal(c, (a * b).sum(-1)) + c = inner1d(a, b, keepdims=False) + assert_array_equal(c, (a * b).sum(-1)) + c = inner1d(a, b, keepdims=True) + assert_array_equal(c, (a * b).sum(-1, keepdims=True)) + out = np.zeros_like(c) + d = inner1d(a, b, keepdims=True, out=out) + assert_(d is out) + assert_array_equal(d, c) + # Now combined with axis and axes. + c = inner1d(a, b, axis=-1, keepdims=False) + assert_array_equal(c, (a * b).sum(-1, keepdims=False)) + c = inner1d(a, b, axis=-1, keepdims=True) + assert_array_equal(c, (a * b).sum(-1, keepdims=True)) + c = inner1d(a, b, axis=0, keepdims=False) + assert_array_equal(c, (a * b).sum(0, keepdims=False)) + c = inner1d(a, b, axis=0, keepdims=True) + assert_array_equal(c, (a * b).sum(0, keepdims=True)) + c = inner1d(a, b, axes=[(-1,), (-1,), ()], keepdims=False) + assert_array_equal(c, (a * b).sum(-1)) + c = inner1d(a, b, axes=[(-1,), (-1,), (-1,)], keepdims=True) + assert_array_equal(c, (a * b).sum(-1, keepdims=True)) + c = inner1d(a, b, axes=[0, 0], keepdims=False) + assert_array_equal(c, (a * b).sum(0)) + c = inner1d(a, b, axes=[0, 0, 0], keepdims=True) + assert_array_equal(c, (a * b).sum(0, keepdims=True)) + c = inner1d(a, b, axes=[0, 2], keepdims=False) + assert_array_equal(c, (a.transpose(1, 2, 0) * b).sum(-1)) + c = inner1d(a, b, axes=[0, 2], keepdims=True) + assert_array_equal(c, (a.transpose(1, 2, 0) * b).sum(-1, + keepdims=True)) + c = inner1d(a, b, axes=[0, 2, 2], keepdims=True) + assert_array_equal(c, (a.transpose(1, 2, 0) * b).sum(-1, + keepdims=True)) + c = inner1d(a, b, axes=[0, 2, 0], keepdims=True) + assert_array_equal(c, (a * b.transpose(2, 0, 1)).sum(0, keepdims=True)) + # Hardly useful, but should work. + c = inner1d(a, b, axes=[0, 2, 1], keepdims=True) + assert_array_equal(c, (a.transpose(1, 0, 2) * b.transpose(0, 2, 1)) + .sum(1, keepdims=True)) + # Check with two core dimensions. + a = np.eye(3) * np.arange(4.)[:, np.newaxis, np.newaxis] + expected = uml.det(a) + c = uml.det(a, keepdims=False) + assert_array_equal(c, expected) + c = uml.det(a, keepdims=True) + assert_array_equal(c, expected[:, np.newaxis, np.newaxis]) + a = np.eye(3) * np.arange(4.)[:, np.newaxis, np.newaxis] + expected_s, expected_l = uml.slogdet(a) + cs, cl = uml.slogdet(a, keepdims=False) + assert_array_equal(cs, expected_s) + assert_array_equal(cl, expected_l) + cs, cl = uml.slogdet(a, keepdims=True) + assert_array_equal(cs, expected_s[:, np.newaxis, np.newaxis]) + assert_array_equal(cl, expected_l[:, np.newaxis, np.newaxis]) + # Sanity check on innerwt. + a = np.arange(6).reshape((2, 3)) + b = np.arange(10, 16).reshape((2, 3)) + w = np.arange(20, 26).reshape((2, 3)) + assert_array_equal(umt.innerwt(a, b, w, keepdims=True), + np.sum(a * b * w, axis=-1, keepdims=True)) + assert_array_equal(umt.innerwt(a, b, w, axis=0, keepdims=True), + np.sum(a * b * w, axis=0, keepdims=True)) + # Check errors. + # Not a boolean + assert_raises(TypeError, inner1d, a, b, keepdims='true') + # More than 1 core dimension, and core output dimensions. + mm = umt.matrix_multiply + assert_raises(TypeError, mm, a, b, keepdims=True) + assert_raises(TypeError, mm, a, b, keepdims=False) + # Regular ufuncs should not accept keepdims. + assert_raises(TypeError, np.add, 1., 1., keepdims=False) + + def test_innerwt(self): + a = np.arange(6).reshape((2, 3)) + b = np.arange(10, 16).reshape((2, 3)) + w = np.arange(20, 26).reshape((2, 3)) + assert_array_equal(umt.innerwt(a, b, w), np.sum(a*b*w, axis=-1)) + a = np.arange(100, 124).reshape((2, 3, 4)) + b = np.arange(200, 224).reshape((2, 3, 4)) + w = np.arange(300, 324).reshape((2, 3, 4)) + assert_array_equal(umt.innerwt(a, b, w), np.sum(a*b*w, axis=-1)) + + def test_innerwt_empty(self): + """Test generalized ufunc with zero-sized operands""" + a = np.array([], dtype='f8') + b = np.array([], dtype='f8') + w = np.array([], dtype='f8') + assert_array_equal(umt.innerwt(a, b, w), np.sum(a*b*w, axis=-1)) + + def test_cross1d(self): + """Test with fixed-sized signature.""" + a = np.eye(3) + assert_array_equal(umt.cross1d(a, a), np.zeros((3, 3))) + out = np.zeros((3, 3)) + result = umt.cross1d(a[0], a, out) + assert_(result is out) + assert_array_equal(result, np.vstack((np.zeros(3), a[2], -a[1]))) + assert_raises(ValueError, umt.cross1d, np.eye(4), np.eye(4)) + assert_raises(ValueError, umt.cross1d, a, np.arange(4.)) + # Wrong output core dimension. + assert_raises(ValueError, umt.cross1d, a, np.arange(3.), np.zeros((3, 4))) + # Wrong output broadcast dimension (see gh-15139). + assert_raises(ValueError, umt.cross1d, a, np.arange(3.), np.zeros(3)) + + def test_can_ignore_signature(self): + # Comparing the effects of ? in signature: + # matrix_multiply: (m,n),(n,p)->(m,p) # all must be there. + # matmul: (m?,n),(n,p?)->(m?,p?) # allow missing m, p. + mat = np.arange(12).reshape((2, 3, 2)) + single_vec = np.arange(2) + col_vec = single_vec[:, np.newaxis] + col_vec_array = np.arange(8).reshape((2, 2, 2, 1)) + 1 + # matrix @ single column vector with proper dimension + mm_col_vec = umt.matrix_multiply(mat, col_vec) + # matmul does the same thing + matmul_col_vec = umt.matmul(mat, col_vec) + assert_array_equal(matmul_col_vec, mm_col_vec) + # matrix @ vector without dimension making it a column vector. + # matrix multiply fails -> missing core dim. + assert_raises(ValueError, umt.matrix_multiply, mat, single_vec) + # matmul mimicker passes, and returns a vector. + matmul_col = umt.matmul(mat, single_vec) + assert_array_equal(matmul_col, mm_col_vec.squeeze()) + # Now with a column array: same as for column vector, + # broadcasting sensibly. + mm_col_vec = umt.matrix_multiply(mat, col_vec_array) + matmul_col_vec = umt.matmul(mat, col_vec_array) + assert_array_equal(matmul_col_vec, mm_col_vec) + # As above, but for row vector + single_vec = np.arange(3) + row_vec = single_vec[np.newaxis, :] + row_vec_array = np.arange(24).reshape((4, 2, 1, 1, 3)) + 1 + # row vector @ matrix + mm_row_vec = umt.matrix_multiply(row_vec, mat) + matmul_row_vec = umt.matmul(row_vec, mat) + assert_array_equal(matmul_row_vec, mm_row_vec) + # single row vector @ matrix + assert_raises(ValueError, umt.matrix_multiply, single_vec, mat) + matmul_row = umt.matmul(single_vec, mat) + assert_array_equal(matmul_row, mm_row_vec.squeeze()) + # row vector array @ matrix + mm_row_vec = umt.matrix_multiply(row_vec_array, mat) + matmul_row_vec = umt.matmul(row_vec_array, mat) + assert_array_equal(matmul_row_vec, mm_row_vec) + # Now for vector combinations + # row vector @ column vector + col_vec = row_vec.T + col_vec_array = row_vec_array.swapaxes(-2, -1) + mm_row_col_vec = umt.matrix_multiply(row_vec, col_vec) + matmul_row_col_vec = umt.matmul(row_vec, col_vec) + assert_array_equal(matmul_row_col_vec, mm_row_col_vec) + # single row vector @ single col vector + assert_raises(ValueError, umt.matrix_multiply, single_vec, single_vec) + matmul_row_col = umt.matmul(single_vec, single_vec) + assert_array_equal(matmul_row_col, mm_row_col_vec.squeeze()) + # row vector array @ matrix + mm_row_col_array = umt.matrix_multiply(row_vec_array, col_vec_array) + matmul_row_col_array = umt.matmul(row_vec_array, col_vec_array) + assert_array_equal(matmul_row_col_array, mm_row_col_array) + # Finally, check that things are *not* squeezed if one gives an + # output. + out = np.zeros_like(mm_row_col_array) + out = umt.matrix_multiply(row_vec_array, col_vec_array, out=out) + assert_array_equal(out, mm_row_col_array) + out[:] = 0 + out = umt.matmul(row_vec_array, col_vec_array, out=out) + assert_array_equal(out, mm_row_col_array) + # And check one cannot put missing dimensions back. + out = np.zeros_like(mm_row_col_vec) + assert_raises(ValueError, umt.matrix_multiply, single_vec, single_vec, + out) + # But fine for matmul, since it is just a broadcast. + out = umt.matmul(single_vec, single_vec, out) + assert_array_equal(out, mm_row_col_vec.squeeze()) + + def test_matrix_multiply(self): + self.compare_matrix_multiply_results(np.int64) + self.compare_matrix_multiply_results(np.double) + + def test_matrix_multiply_umath_empty(self): + res = umt.matrix_multiply(np.ones((0, 10)), np.ones((10, 0))) + assert_array_equal(res, np.zeros((0, 0))) + res = umt.matrix_multiply(np.ones((10, 0)), np.ones((0, 10))) + assert_array_equal(res, np.zeros((10, 10))) + + def compare_matrix_multiply_results(self, tp): + d1 = np.array(np.random.rand(2, 3, 4), dtype=tp) + d2 = np.array(np.random.rand(2, 3, 4), dtype=tp) + msg = "matrix multiply on type %s" % d1.dtype.name + + def permute_n(n): + if n == 1: + return ([0],) + ret = () + base = permute_n(n-1) + for perm in base: + for i in range(n): + new = perm + [n-1] + new[n-1] = new[i] + new[i] = n-1 + ret += (new,) + return ret + + def slice_n(n): + if n == 0: + return ((),) + ret = () + base = slice_n(n-1) + for sl in base: + ret += (sl+(slice(None),),) + ret += (sl+(slice(0, 1),),) + return ret + + def broadcastable(s1, s2): + return s1 == s2 or s1 == 1 or s2 == 1 + + permute_3 = permute_n(3) + slice_3 = slice_n(3) + ((slice(None, None, -1),)*3,) + + ref = True + for p1 in permute_3: + for p2 in permute_3: + for s1 in slice_3: + for s2 in slice_3: + a1 = d1.transpose(p1)[s1] + a2 = d2.transpose(p2)[s2] + ref = ref and a1.base is not None + ref = ref and a2.base is not None + if (a1.shape[-1] == a2.shape[-2] and + broadcastable(a1.shape[0], a2.shape[0])): + assert_array_almost_equal( + umt.matrix_multiply(a1, a2), + np.sum(a2[..., np.newaxis].swapaxes(-3, -1) * + a1[..., np.newaxis,:], axis=-1), + err_msg=msg + ' %s %s' % (str(a1.shape), + str(a2.shape))) + + assert_equal(ref, True, err_msg="reference check") + + def test_euclidean_pdist(self): + a = np.arange(12, dtype=float).reshape(4, 3) + out = np.empty((a.shape[0] * (a.shape[0] - 1) // 2,), dtype=a.dtype) + umt.euclidean_pdist(a, out) + b = np.sqrt(np.sum((a[:, None] - a)**2, axis=-1)) + b = b[~np.tri(a.shape[0], dtype=bool)] + assert_almost_equal(out, b) + # An output array is required to determine p with signature (n,d)->(p) + assert_raises(ValueError, umt.euclidean_pdist, a) + + def test_cumsum(self): + a = np.arange(10) + result = umt.cumsum(a) + assert_array_equal(result, a.cumsum()) + + def test_object_logical(self): + a = np.array([3, None, True, False, "test", ""], dtype=object) + assert_equal(np.logical_or(a, None), + np.array([x or None for x in a], dtype=object)) + assert_equal(np.logical_or(a, True), + np.array([x or True for x in a], dtype=object)) + assert_equal(np.logical_or(a, 12), + np.array([x or 12 for x in a], dtype=object)) + assert_equal(np.logical_or(a, "blah"), + np.array([x or "blah" for x in a], dtype=object)) + + assert_equal(np.logical_and(a, None), + np.array([x and None for x in a], dtype=object)) + assert_equal(np.logical_and(a, True), + np.array([x and True for x in a], dtype=object)) + assert_equal(np.logical_and(a, 12), + np.array([x and 12 for x in a], dtype=object)) + assert_equal(np.logical_and(a, "blah"), + np.array([x and "blah" for x in a], dtype=object)) + + assert_equal(np.logical_not(a), + np.array([not x for x in a], dtype=object)) + + assert_equal(np.logical_or.reduce(a), 3) + assert_equal(np.logical_and.reduce(a), None) + + def test_object_comparison(self): + class HasComparisons: + def __eq__(self, other): + return '==' + + arr0d = np.array(HasComparisons()) + assert_equal(arr0d == arr0d, True) + assert_equal(np.equal(arr0d, arr0d), True) # normal behavior is a cast + + arr1d = np.array([HasComparisons()]) + assert_equal(arr1d == arr1d, np.array([True])) + assert_equal(np.equal(arr1d, arr1d), np.array([True])) # normal behavior is a cast + assert_equal(np.equal(arr1d, arr1d, dtype=object), np.array(['=='])) + + def test_object_array_reduction(self): + # Reductions on object arrays + a = np.array(['a', 'b', 'c'], dtype=object) + assert_equal(np.sum(a), 'abc') + assert_equal(np.max(a), 'c') + assert_equal(np.min(a), 'a') + a = np.array([True, False, True], dtype=object) + assert_equal(np.sum(a), 2) + assert_equal(np.prod(a), 0) + assert_equal(np.any(a), True) + assert_equal(np.all(a), False) + assert_equal(np.max(a), True) + assert_equal(np.min(a), False) + assert_equal(np.array([[1]], dtype=object).sum(), 1) + assert_equal(np.array([[[1, 2]]], dtype=object).sum((0, 1)), [1, 2]) + assert_equal(np.array([1], dtype=object).sum(initial=1), 2) + assert_equal(np.array([[1], [2, 3]], dtype=object) + .sum(initial=[0], where=[False, True]), [0, 2, 3]) + + def test_object_array_accumulate_inplace(self): + # Checks that in-place accumulates work, see also gh-7402 + arr = np.ones(4, dtype=object) + arr[:] = [[1] for i in range(4)] + # Twice reproduced also for tuples: + np.add.accumulate(arr, out=arr) + np.add.accumulate(arr, out=arr) + assert_array_equal(arr, + np.array([[1]*i for i in [1, 3, 6, 10]], dtype=object), + ) + + # And the same if the axis argument is used + arr = np.ones((2, 4), dtype=object) + arr[0, :] = [[2] for i in range(4)] + np.add.accumulate(arr, out=arr, axis=-1) + np.add.accumulate(arr, out=arr, axis=-1) + assert_array_equal(arr[0, :], + np.array([[2]*i for i in [1, 3, 6, 10]], dtype=object), + ) + + def test_object_array_accumulate_failure(self): + # Typical accumulation on object works as expected: + res = np.add.accumulate(np.array([1, 0, 2], dtype=object)) + assert_array_equal(res, np.array([1, 1, 3], dtype=object)) + # But errors are propagated from the inner-loop if they occur: + with pytest.raises(TypeError): + np.add.accumulate([1, None, 2]) + + def test_object_array_reduceat_inplace(self): + # Checks that in-place reduceats work, see also gh-7465 + arr = np.empty(4, dtype=object) + arr[:] = [[1] for i in range(4)] + out = np.empty(4, dtype=object) + out[:] = [[1] for i in range(4)] + np.add.reduceat(arr, np.arange(4), out=arr) + np.add.reduceat(arr, np.arange(4), out=arr) + assert_array_equal(arr, out) + + # And the same if the axis argument is used + arr = np.ones((2, 4), dtype=object) + arr[0, :] = [[2] for i in range(4)] + out = np.ones((2, 4), dtype=object) + out[0, :] = [[2] for i in range(4)] + np.add.reduceat(arr, np.arange(4), out=arr, axis=-1) + np.add.reduceat(arr, np.arange(4), out=arr, axis=-1) + assert_array_equal(arr, out) + + def test_object_array_reduceat_failure(self): + # Reduceat works as expected when no invalid operation occurs (None is + # not involved in an operation here) + res = np.add.reduceat(np.array([1, None, 2], dtype=object), [1, 2]) + assert_array_equal(res, np.array([None, 2], dtype=object)) + # But errors when None would be involved in an operation: + with pytest.raises(TypeError): + np.add.reduceat([1, None, 2], [0, 2]) + + def test_zerosize_reduction(self): + # Test with default dtype and object dtype + for a in [[], np.array([], dtype=object)]: + assert_equal(np.sum(a), 0) + assert_equal(np.prod(a), 1) + assert_equal(np.any(a), False) + assert_equal(np.all(a), True) + assert_raises(ValueError, np.max, a) + assert_raises(ValueError, np.min, a) + + def test_axis_out_of_bounds(self): + a = np.array([False, False]) + assert_raises(np.AxisError, a.all, axis=1) + a = np.array([False, False]) + assert_raises(np.AxisError, a.all, axis=-2) + + a = np.array([False, False]) + assert_raises(np.AxisError, a.any, axis=1) + a = np.array([False, False]) + assert_raises(np.AxisError, a.any, axis=-2) + + def test_scalar_reduction(self): + # The functions 'sum', 'prod', etc allow specifying axis=0 + # even for scalars + assert_equal(np.sum(3, axis=0), 3) + assert_equal(np.prod(3.5, axis=0), 3.5) + assert_equal(np.any(True, axis=0), True) + assert_equal(np.all(False, axis=0), False) + assert_equal(np.max(3, axis=0), 3) + assert_equal(np.min(2.5, axis=0), 2.5) + + # Check scalar behaviour for ufuncs without an identity + assert_equal(np.power.reduce(3), 3) + + # Make sure that scalars are coming out from this operation + assert_(type(np.prod(np.float32(2.5), axis=0)) is np.float32) + assert_(type(np.sum(np.float32(2.5), axis=0)) is np.float32) + assert_(type(np.max(np.float32(2.5), axis=0)) is np.float32) + assert_(type(np.min(np.float32(2.5), axis=0)) is np.float32) + + # check if scalars/0-d arrays get cast + assert_(type(np.any(0, axis=0)) is np.bool_) + + # assert that 0-d arrays get wrapped + class MyArray(np.ndarray): + pass + a = np.array(1).view(MyArray) + assert_(type(np.any(a)) is MyArray) + + def test_casting_out_param(self): + # Test that it's possible to do casts on output + a = np.ones((200, 100), np.int64) + b = np.ones((200, 100), np.int64) + c = np.ones((200, 100), np.float64) + np.add(a, b, out=c) + assert_equal(c, 2) + + a = np.zeros(65536) + b = np.zeros(65536, dtype=np.float32) + np.subtract(a, 0, out=b) + assert_equal(b, 0) + + def test_where_param(self): + # Test that the where= ufunc parameter works with regular arrays + a = np.arange(7) + b = np.ones(7) + c = np.zeros(7) + np.add(a, b, out=c, where=(a % 2 == 1)) + assert_equal(c, [0, 2, 0, 4, 0, 6, 0]) + + a = np.arange(4).reshape(2, 2) + 2 + np.power(a, [2, 3], out=a, where=[[0, 1], [1, 0]]) + assert_equal(a, [[2, 27], [16, 5]]) + # Broadcasting the where= parameter + np.subtract(a, 2, out=a, where=[True, False]) + assert_equal(a, [[0, 27], [14, 5]]) + + def test_where_param_buffer_output(self): + # This test is temporarily skipped because it requires + # adding masking features to the nditer to work properly + + # With casting on output + a = np.ones(10, np.int64) + b = np.ones(10, np.int64) + c = 1.5 * np.ones(10, np.float64) + np.add(a, b, out=c, where=[1, 0, 0, 1, 0, 0, 1, 1, 1, 0]) + assert_equal(c, [2, 1.5, 1.5, 2, 1.5, 1.5, 2, 2, 2, 1.5]) + + def test_where_param_alloc(self): + # With casting and allocated output + a = np.array([1], dtype=np.int64) + m = np.array([True], dtype=bool) + assert_equal(np.sqrt(a, where=m), [1]) + + # No casting and allocated output + a = np.array([1], dtype=np.float64) + m = np.array([True], dtype=bool) + assert_equal(np.sqrt(a, where=m), [1]) + + def test_where_with_broadcasting(self): + # See gh-17198 + a = np.random.random((5000, 4)) + b = np.random.random((5000, 1)) + + where = a > 0.3 + out = np.full_like(a, 0) + np.less(a, b, where=where, out=out) + b_where = np.broadcast_to(b, a.shape)[where] + assert_array_equal((a[where] < b_where), out[where].astype(bool)) + assert not out[~where].any() # outside mask, out remains all 0 + + def check_identityless_reduction(self, a): + # np.minimum.reduce is an identityless reduction + + # Verify that it sees the zero at various positions + a[...] = 1 + a[1, 0, 0] = 0 + assert_equal(np.minimum.reduce(a, axis=None), 0) + assert_equal(np.minimum.reduce(a, axis=(0, 1)), [0, 1, 1, 1]) + assert_equal(np.minimum.reduce(a, axis=(0, 2)), [0, 1, 1]) + assert_equal(np.minimum.reduce(a, axis=(1, 2)), [1, 0]) + assert_equal(np.minimum.reduce(a, axis=0), + [[0, 1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1]]) + assert_equal(np.minimum.reduce(a, axis=1), + [[1, 1, 1, 1], [0, 1, 1, 1]]) + assert_equal(np.minimum.reduce(a, axis=2), + [[1, 1, 1], [0, 1, 1]]) + assert_equal(np.minimum.reduce(a, axis=()), a) + + a[...] = 1 + a[0, 1, 0] = 0 + assert_equal(np.minimum.reduce(a, axis=None), 0) + assert_equal(np.minimum.reduce(a, axis=(0, 1)), [0, 1, 1, 1]) + assert_equal(np.minimum.reduce(a, axis=(0, 2)), [1, 0, 1]) + assert_equal(np.minimum.reduce(a, axis=(1, 2)), [0, 1]) + assert_equal(np.minimum.reduce(a, axis=0), + [[1, 1, 1, 1], [0, 1, 1, 1], [1, 1, 1, 1]]) + assert_equal(np.minimum.reduce(a, axis=1), + [[0, 1, 1, 1], [1, 1, 1, 1]]) + assert_equal(np.minimum.reduce(a, axis=2), + [[1, 0, 1], [1, 1, 1]]) + assert_equal(np.minimum.reduce(a, axis=()), a) + + a[...] = 1 + a[0, 0, 1] = 0 + assert_equal(np.minimum.reduce(a, axis=None), 0) + assert_equal(np.minimum.reduce(a, axis=(0, 1)), [1, 0, 1, 1]) + assert_equal(np.minimum.reduce(a, axis=(0, 2)), [0, 1, 1]) + assert_equal(np.minimum.reduce(a, axis=(1, 2)), [0, 1]) + assert_equal(np.minimum.reduce(a, axis=0), + [[1, 0, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1]]) + assert_equal(np.minimum.reduce(a, axis=1), + [[1, 0, 1, 1], [1, 1, 1, 1]]) + assert_equal(np.minimum.reduce(a, axis=2), + [[0, 1, 1], [1, 1, 1]]) + assert_equal(np.minimum.reduce(a, axis=()), a) + + @requires_memory(6 * 1024**3) + @pytest.mark.skipif(sys.maxsize < 2**32, + reason="test array too large for 32bit platform") + def test_identityless_reduction_huge_array(self): + # Regression test for gh-20921 (copying identity incorrectly failed) + arr = np.zeros((2, 2**31), 'uint8') + arr[:, 0] = [1, 3] + arr[:, -1] = [4, 1] + res = np.maximum.reduce(arr, axis=0) + del arr + assert res[0] == 3 + assert res[-1] == 4 + + def test_identityless_reduction_corder(self): + a = np.empty((2, 3, 4), order='C') + self.check_identityless_reduction(a) + + def test_identityless_reduction_forder(self): + a = np.empty((2, 3, 4), order='F') + self.check_identityless_reduction(a) + + def test_identityless_reduction_otherorder(self): + a = np.empty((2, 4, 3), order='C').swapaxes(1, 2) + self.check_identityless_reduction(a) + + def test_identityless_reduction_noncontig(self): + a = np.empty((3, 5, 4), order='C').swapaxes(1, 2) + a = a[1:, 1:, 1:] + self.check_identityless_reduction(a) + + def test_identityless_reduction_noncontig_unaligned(self): + a = np.empty((3*4*5*8 + 1,), dtype='i1') + a = a[1:].view(dtype='f8') + a.shape = (3, 4, 5) + a = a[1:, 1:, 1:] + self.check_identityless_reduction(a) + + def test_reduce_identity_depends_on_loop(self): + """ + The type of the result should always depend on the selected loop, not + necessarily the output (only relevant for object arrays). + """ + # For an object loop, the default value 0 with type int is used: + assert type(np.add.reduce([], dtype=object)) is int + out = np.array(None, dtype=object) + # When the loop is float64 but `out` is object this does not happen, + # the result is float64 cast to object (which gives Python `float`). + np.add.reduce([], out=out, dtype=np.float64) + assert type(out[()]) is float + + def test_initial_reduction(self): + # np.minimum.reduce is an identityless reduction + + # For cases like np.maximum(np.abs(...), initial=0) + # More generally, a supremum over non-negative numbers. + assert_equal(np.maximum.reduce([], initial=0), 0) + + # For cases like reduction of an empty array over the reals. + assert_equal(np.minimum.reduce([], initial=np.inf), np.inf) + assert_equal(np.maximum.reduce([], initial=-np.inf), -np.inf) + + # Random tests + assert_equal(np.minimum.reduce([5], initial=4), 4) + assert_equal(np.maximum.reduce([4], initial=5), 5) + assert_equal(np.maximum.reduce([5], initial=4), 5) + assert_equal(np.minimum.reduce([4], initial=5), 4) + + # Check initial=None raises ValueError for both types of ufunc reductions + assert_raises(ValueError, np.minimum.reduce, [], initial=None) + assert_raises(ValueError, np.add.reduce, [], initial=None) + # Also in the somewhat special object case: + with pytest.raises(ValueError): + np.add.reduce([], initial=None, dtype=object) + + # Check that np._NoValue gives default behavior. + assert_equal(np.add.reduce([], initial=np._NoValue), 0) + + # Check that initial kwarg behaves as intended for dtype=object + a = np.array([10], dtype=object) + res = np.add.reduce(a, initial=5) + assert_equal(res, 15) + + def test_empty_reduction_and_idenity(self): + arr = np.zeros((0, 5)) + # OK, since the reduction itself is *not* empty, the result is + assert np.true_divide.reduce(arr, axis=1).shape == (0,) + # Not OK, the reduction itself is empty and we have no idenity + with pytest.raises(ValueError): + np.true_divide.reduce(arr, axis=0) + + # Test that an empty reduction fails also if the result is empty + arr = np.zeros((0, 0, 5)) + with pytest.raises(ValueError): + np.true_divide.reduce(arr, axis=1) + + # Division reduction makes sense with `initial=1` (empty or not): + res = np.true_divide.reduce(arr, axis=1, initial=1) + assert_array_equal(res, np.ones((0, 5))) + + @pytest.mark.parametrize('axis', (0, 1, None)) + @pytest.mark.parametrize('where', (np.array([False, True, True]), + np.array([[True], [False], [True]]), + np.array([[True, False, False], + [False, True, False], + [False, True, True]]))) + def test_reduction_with_where(self, axis, where): + a = np.arange(9.).reshape(3, 3) + a_copy = a.copy() + a_check = np.zeros_like(a) + np.positive(a, out=a_check, where=where) + + res = np.add.reduce(a, axis=axis, where=where) + check = a_check.sum(axis) + assert_equal(res, check) + # Check we do not overwrite elements of a internally. + assert_array_equal(a, a_copy) + + @pytest.mark.parametrize(('axis', 'where'), + ((0, np.array([True, False, True])), + (1, [True, True, False]), + (None, True))) + @pytest.mark.parametrize('initial', (-np.inf, 5.)) + def test_reduction_with_where_and_initial(self, axis, where, initial): + a = np.arange(9.).reshape(3, 3) + a_copy = a.copy() + a_check = np.full(a.shape, -np.inf) + np.positive(a, out=a_check, where=where) + + res = np.maximum.reduce(a, axis=axis, where=where, initial=initial) + check = a_check.max(axis, initial=initial) + assert_equal(res, check) + + def test_reduction_where_initial_needed(self): + a = np.arange(9.).reshape(3, 3) + m = [False, True, False] + assert_raises(ValueError, np.maximum.reduce, a, where=m) + + def test_identityless_reduction_nonreorderable(self): + a = np.array([[8.0, 2.0, 2.0], [1.0, 0.5, 0.25]]) + + res = np.divide.reduce(a, axis=0) + assert_equal(res, [8.0, 4.0, 8.0]) + + res = np.divide.reduce(a, axis=1) + assert_equal(res, [2.0, 8.0]) + + res = np.divide.reduce(a, axis=()) + assert_equal(res, a) + + assert_raises(ValueError, np.divide.reduce, a, axis=(0, 1)) + + def test_reduce_zero_axis(self): + # If we have a n x m array and do a reduction with axis=1, then we are + # doing n reductions, and each reduction takes an m-element array. For + # a reduction operation without an identity, then: + # n > 0, m > 0: fine + # n = 0, m > 0: fine, doing 0 reductions of m-element arrays + # n > 0, m = 0: can't reduce a 0-element array, ValueError + # n = 0, m = 0: can't reduce a 0-element array, ValueError (for + # consistency with the above case) + # This test doesn't actually look at return values, it just checks to + # make sure that error we get an error in exactly those cases where we + # expect one, and assumes the calculations themselves are done + # correctly. + + def ok(f, *args, **kwargs): + f(*args, **kwargs) + + def err(f, *args, **kwargs): + assert_raises(ValueError, f, *args, **kwargs) + + def t(expect, func, n, m): + expect(func, np.zeros((n, m)), axis=1) + expect(func, np.zeros((m, n)), axis=0) + expect(func, np.zeros((n // 2, n // 2, m)), axis=2) + expect(func, np.zeros((n // 2, m, n // 2)), axis=1) + expect(func, np.zeros((n, m // 2, m // 2)), axis=(1, 2)) + expect(func, np.zeros((m // 2, n, m // 2)), axis=(0, 2)) + expect(func, np.zeros((m // 3, m // 3, m // 3, + n // 2, n // 2)), + axis=(0, 1, 2)) + # Check what happens if the inner (resp. outer) dimensions are a + # mix of zero and non-zero: + expect(func, np.zeros((10, m, n)), axis=(0, 1)) + expect(func, np.zeros((10, n, m)), axis=(0, 2)) + expect(func, np.zeros((m, 10, n)), axis=0) + expect(func, np.zeros((10, m, n)), axis=1) + expect(func, np.zeros((10, n, m)), axis=2) + + # np.maximum is just an arbitrary ufunc with no reduction identity + assert_equal(np.maximum.identity, None) + t(ok, np.maximum.reduce, 30, 30) + t(ok, np.maximum.reduce, 0, 30) + t(err, np.maximum.reduce, 30, 0) + t(err, np.maximum.reduce, 0, 0) + err(np.maximum.reduce, []) + np.maximum.reduce(np.zeros((0, 0)), axis=()) + + # all of the combinations are fine for a reduction that has an + # identity + t(ok, np.add.reduce, 30, 30) + t(ok, np.add.reduce, 0, 30) + t(ok, np.add.reduce, 30, 0) + t(ok, np.add.reduce, 0, 0) + np.add.reduce([]) + np.add.reduce(np.zeros((0, 0)), axis=()) + + # OTOH, accumulate always makes sense for any combination of n and m, + # because it maps an m-element array to an m-element array. These + # tests are simpler because accumulate doesn't accept multiple axes. + for uf in (np.maximum, np.add): + uf.accumulate(np.zeros((30, 0)), axis=0) + uf.accumulate(np.zeros((0, 30)), axis=0) + uf.accumulate(np.zeros((30, 30)), axis=0) + uf.accumulate(np.zeros((0, 0)), axis=0) + + def test_safe_casting(self): + # In old versions of numpy, in-place operations used the 'unsafe' + # casting rules. In versions >= 1.10, 'same_kind' is the + # default and an exception is raised instead of a warning. + # when 'same_kind' is not satisfied. + a = np.array([1, 2, 3], dtype=int) + # Non-in-place addition is fine + assert_array_equal(assert_no_warnings(np.add, a, 1.1), + [2.1, 3.1, 4.1]) + assert_raises(TypeError, np.add, a, 1.1, out=a) + + def add_inplace(a, b): + a += b + + assert_raises(TypeError, add_inplace, a, 1.1) + # Make sure that explicitly overriding the exception is allowed: + assert_no_warnings(np.add, a, 1.1, out=a, casting="unsafe") + assert_array_equal(a, [2, 3, 4]) + + def test_ufunc_custom_out(self): + # Test ufunc with built in input types and custom output type + + a = np.array([0, 1, 2], dtype='i8') + b = np.array([0, 1, 2], dtype='i8') + c = np.empty(3, dtype=_rational_tests.rational) + + # Output must be specified so numpy knows what + # ufunc signature to look for + result = _rational_tests.test_add(a, b, c) + target = np.array([0, 2, 4], dtype=_rational_tests.rational) + assert_equal(result, target) + + # The new resolution means that we can (usually) find custom loops + # as long as they match exactly: + result = _rational_tests.test_add(a, b) + assert_equal(result, target) + + # This works even more generally, so long the default common-dtype + # promoter works out: + result = _rational_tests.test_add(a, b.astype(np.uint16), out=c) + assert_equal(result, target) + + # But, it can be fooled, e.g. (use scalars, which forces legacy + # type resolution to kick in, which then fails): + with assert_raises(TypeError): + _rational_tests.test_add(a, np.uint16(2)) + + def test_operand_flags(self): + a = np.arange(16, dtype='l').reshape(4, 4) + b = np.arange(9, dtype='l').reshape(3, 3) + opflag_tests.inplace_add(a[:-1, :-1], b) + assert_equal(a, np.array([[0, 2, 4, 3], [7, 9, 11, 7], + [14, 16, 18, 11], [12, 13, 14, 15]], dtype='l')) + + a = np.array(0) + opflag_tests.inplace_add(a, 3) + assert_equal(a, 3) + opflag_tests.inplace_add(a, [3, 4]) + assert_equal(a, 10) + + def test_struct_ufunc(self): + import numpy.core._struct_ufunc_tests as struct_ufunc + + a = np.array([(1, 2, 3)], dtype='u8,u8,u8') + b = np.array([(1, 2, 3)], dtype='u8,u8,u8') + + result = struct_ufunc.add_triplet(a, b) + assert_equal(result, np.array([(2, 4, 6)], dtype='u8,u8,u8')) + assert_raises(RuntimeError, struct_ufunc.register_fail) + + def test_custom_ufunc(self): + a = np.array( + [_rational_tests.rational(1, 2), + _rational_tests.rational(1, 3), + _rational_tests.rational(1, 4)], + dtype=_rational_tests.rational) + b = np.array( + [_rational_tests.rational(1, 2), + _rational_tests.rational(1, 3), + _rational_tests.rational(1, 4)], + dtype=_rational_tests.rational) + + result = _rational_tests.test_add_rationals(a, b) + expected = np.array( + [_rational_tests.rational(1), + _rational_tests.rational(2, 3), + _rational_tests.rational(1, 2)], + dtype=_rational_tests.rational) + assert_equal(result, expected) + + def test_custom_ufunc_forced_sig(self): + # gh-9351 - looking for a non-first userloop would previously hang + with assert_raises(TypeError): + np.multiply(_rational_tests.rational(1), 1, + signature=(_rational_tests.rational, int, None)) + + def test_custom_array_like(self): + + class MyThing: + __array_priority__ = 1000 + + rmul_count = 0 + getitem_count = 0 + + def __init__(self, shape): + self.shape = shape + + def __len__(self): + return self.shape[0] + + def __getitem__(self, i): + MyThing.getitem_count += 1 + if not isinstance(i, tuple): + i = (i,) + if len(i) > self.ndim: + raise IndexError("boo") + + return MyThing(self.shape[len(i):]) + + def __rmul__(self, other): + MyThing.rmul_count += 1 + return self + + np.float64(5)*MyThing((3, 3)) + assert_(MyThing.rmul_count == 1, MyThing.rmul_count) + assert_(MyThing.getitem_count <= 2, MyThing.getitem_count) + + @pytest.mark.parametrize("a", ( + np.arange(10, dtype=int), + np.arange(10, dtype=_rational_tests.rational), + )) + def test_ufunc_at_basic(self, a): + + aa = a.copy() + np.add.at(aa, [2, 5, 2], 1) + assert_equal(aa, [0, 1, 4, 3, 4, 6, 6, 7, 8, 9]) + + with pytest.raises(ValueError): + # missing second operand + np.add.at(aa, [2, 5, 3]) + + aa = a.copy() + np.negative.at(aa, [2, 5, 3]) + assert_equal(aa, [0, 1, -2, -3, 4, -5, 6, 7, 8, 9]) + + aa = a.copy() + b = np.array([100, 100, 100]) + np.add.at(aa, [2, 5, 2], b) + assert_equal(aa, [0, 1, 202, 3, 4, 105, 6, 7, 8, 9]) + + with pytest.raises(ValueError): + # extraneous second operand + np.negative.at(a, [2, 5, 3], [1, 2, 3]) + + with pytest.raises(ValueError): + # second operand cannot be converted to an array + np.add.at(a, [2, 5, 3], [[1, 2], 1]) + + # ufuncs with indexed loops for performance in ufunc.at + indexed_ufuncs = [np.add, np.subtract, np.multiply, np.floor_divide, + np.maximum, np.minimum, np.fmax, np.fmin] + + @pytest.mark.parametrize( + "typecode", np.typecodes['AllInteger'] + np.typecodes['Float']) + @pytest.mark.parametrize("ufunc", indexed_ufuncs) + def test_ufunc_at_inner_loops(self, typecode, ufunc): + if ufunc is np.divide and typecode in np.typecodes['AllInteger']: + # Avoid divide-by-zero and inf for integer divide + a = np.ones(100, dtype=typecode) + indx = np.random.randint(100, size=30, dtype=np.intp) + vals = np.arange(1, 31, dtype=typecode) + else: + a = np.ones(1000, dtype=typecode) + indx = np.random.randint(1000, size=3000, dtype=np.intp) + vals = np.arange(3000, dtype=typecode) + atag = a.copy() + # Do the calculation twice and compare the answers + with warnings.catch_warnings(record=True) as w_at: + warnings.simplefilter('always') + ufunc.at(a, indx, vals) + with warnings.catch_warnings(record=True) as w_loop: + warnings.simplefilter('always') + for i, v in zip(indx, vals): + # Make sure all the work happens inside the ufunc + # in order to duplicate error/warning handling + ufunc(atag[i], v, out=atag[i:i+1], casting="unsafe") + assert_equal(atag, a) + # If w_loop warned, make sure w_at warned as well + if len(w_loop) > 0: + # + assert len(w_at) > 0 + assert w_at[0].category == w_loop[0].category + assert str(w_at[0].message)[:10] == str(w_loop[0].message)[:10] + + @pytest.mark.parametrize("typecode", np.typecodes['Complex']) + @pytest.mark.parametrize("ufunc", [np.add, np.subtract, np.multiply]) + def test_ufunc_at_inner_loops_complex(self, typecode, ufunc): + a = np.ones(10, dtype=typecode) + indx = np.concatenate([np.ones(6, dtype=np.intp), + np.full(18, 4, dtype=np.intp)]) + value = a.dtype.type(1j) + ufunc.at(a, indx, value) + expected = np.ones_like(a) + if ufunc is np.multiply: + expected[1] = expected[4] = -1 + else: + expected[1] += 6 * (value if ufunc is np.add else -value) + expected[4] += 18 * (value if ufunc is np.add else -value) + + assert_array_equal(a, expected) + + def test_ufunc_at_ellipsis(self): + # Make sure the indexed loop check does not choke on iters + # with subspaces + arr = np.zeros(5) + np.add.at(arr, slice(None), np.ones(5)) + assert_array_equal(arr, np.ones(5)) + + def test_ufunc_at_negative(self): + arr = np.ones(5, dtype=np.int32) + indx = np.arange(5) + umt.indexed_negative.at(arr, indx) + # If it is [-1, -1, -1, -100, 0] then the regular strided loop was used + assert np.all(arr == [-1, -1, -1, -200, -1]) + + def test_ufunc_at_large(self): + # issue gh-23457 + indices = np.zeros(8195, dtype=np.int16) + b = np.zeros(8195, dtype=float) + b[0] = 10 + b[1] = 5 + b[8192:] = 100 + a = np.zeros(1, dtype=float) + np.add.at(a, indices, b) + assert a[0] == b.sum() + + def test_cast_index_fastpath(self): + arr = np.zeros(10) + values = np.ones(100000) + # index must be cast, which may be buffered in chunks: + index = np.zeros(len(values), dtype=np.uint8) + np.add.at(arr, index, values) + assert arr[0] == len(values) + + @pytest.mark.parametrize("value", [ + np.ones(1), np.ones(()), np.float64(1.), 1.]) + def test_ufunc_at_scalar_value_fastpath(self, value): + arr = np.zeros(1000) + # index must be cast, which may be buffered in chunks: + index = np.repeat(np.arange(1000), 2) + np.add.at(arr, index, value) + assert_array_equal(arr, np.full_like(arr, 2 * value)) + + def test_ufunc_at_multiD(self): + a = np.arange(9).reshape(3, 3) + b = np.array([[100, 100, 100], [200, 200, 200], [300, 300, 300]]) + np.add.at(a, (slice(None), [1, 2, 1]), b) + assert_equal(a, [[0, 201, 102], [3, 404, 205], [6, 607, 308]]) + + a = np.arange(27).reshape(3, 3, 3) + b = np.array([100, 200, 300]) + np.add.at(a, (slice(None), slice(None), [1, 2, 1]), b) + assert_equal(a, + [[[0, 401, 202], + [3, 404, 205], + [6, 407, 208]], + + [[9, 410, 211], + [12, 413, 214], + [15, 416, 217]], + + [[18, 419, 220], + [21, 422, 223], + [24, 425, 226]]]) + + a = np.arange(9).reshape(3, 3) + b = np.array([[100, 100, 100], [200, 200, 200], [300, 300, 300]]) + np.add.at(a, ([1, 2, 1], slice(None)), b) + assert_equal(a, [[0, 1, 2], [403, 404, 405], [206, 207, 208]]) + + a = np.arange(27).reshape(3, 3, 3) + b = np.array([100, 200, 300]) + np.add.at(a, (slice(None), [1, 2, 1], slice(None)), b) + assert_equal(a, + [[[0, 1, 2], + [203, 404, 605], + [106, 207, 308]], + + [[9, 10, 11], + [212, 413, 614], + [115, 216, 317]], + + [[18, 19, 20], + [221, 422, 623], + [124, 225, 326]]]) + + a = np.arange(9).reshape(3, 3) + b = np.array([100, 200, 300]) + np.add.at(a, (0, [1, 2, 1]), b) + assert_equal(a, [[0, 401, 202], [3, 4, 5], [6, 7, 8]]) + + a = np.arange(27).reshape(3, 3, 3) + b = np.array([100, 200, 300]) + np.add.at(a, ([1, 2, 1], 0, slice(None)), b) + assert_equal(a, + [[[0, 1, 2], + [3, 4, 5], + [6, 7, 8]], + + [[209, 410, 611], + [12, 13, 14], + [15, 16, 17]], + + [[118, 219, 320], + [21, 22, 23], + [24, 25, 26]]]) + + a = np.arange(27).reshape(3, 3, 3) + b = np.array([100, 200, 300]) + np.add.at(a, (slice(None), slice(None), slice(None)), b) + assert_equal(a, + [[[100, 201, 302], + [103, 204, 305], + [106, 207, 308]], + + [[109, 210, 311], + [112, 213, 314], + [115, 216, 317]], + + [[118, 219, 320], + [121, 222, 323], + [124, 225, 326]]]) + + def test_ufunc_at_0D(self): + a = np.array(0) + np.add.at(a, (), 1) + assert_equal(a, 1) + + assert_raises(IndexError, np.add.at, a, 0, 1) + assert_raises(IndexError, np.add.at, a, [], 1) + + def test_ufunc_at_dtypes(self): + # Test mixed dtypes + a = np.arange(10) + np.power.at(a, [1, 2, 3, 2], 3.5) + assert_equal(a, np.array([0, 1, 4414, 46, 4, 5, 6, 7, 8, 9])) + + def test_ufunc_at_boolean(self): + # Test boolean indexing and boolean ufuncs + a = np.arange(10) + index = a % 2 == 0 + np.equal.at(a, index, [0, 2, 4, 6, 8]) + assert_equal(a, [1, 1, 1, 3, 1, 5, 1, 7, 1, 9]) + + # Test unary operator + a = np.arange(10, dtype='u4') + np.invert.at(a, [2, 5, 2]) + assert_equal(a, [0, 1, 2, 3, 4, 5 ^ 0xffffffff, 6, 7, 8, 9]) + + def test_ufunc_at_advanced(self): + # Test empty subspace + orig = np.arange(4) + a = orig[:, None][:, 0:0] + np.add.at(a, [0, 1], 3) + assert_array_equal(orig, np.arange(4)) + + # Test with swapped byte order + index = np.array([1, 2, 1], np.dtype('i').newbyteorder()) + values = np.array([1, 2, 3, 4], np.dtype('f').newbyteorder()) + np.add.at(values, index, 3) + assert_array_equal(values, [1, 8, 6, 4]) + + # Test exception thrown + values = np.array(['a', 1], dtype=object) + assert_raises(TypeError, np.add.at, values, [0, 1], 1) + assert_array_equal(values, np.array(['a', 1], dtype=object)) + + # Test multiple output ufuncs raise error, gh-5665 + assert_raises(ValueError, np.modf.at, np.arange(10), [1]) + + # Test maximum + a = np.array([1, 2, 3]) + np.maximum.at(a, [0], 0) + assert_equal(a, np.array([1, 2, 3])) + + @pytest.mark.parametrize("dtype", + np.typecodes['AllInteger'] + np.typecodes['Float']) + @pytest.mark.parametrize("ufunc", + [np.add, np.subtract, np.divide, np.minimum, np.maximum]) + def test_at_negative_indexes(self, dtype, ufunc): + a = np.arange(0, 10).astype(dtype) + indxs = np.array([-1, 1, -1, 2]).astype(np.intp) + vals = np.array([1, 5, 2, 10], dtype=a.dtype) + + expected = a.copy() + for i, v in zip(indxs, vals): + expected[i] = ufunc(expected[i], v) + + ufunc.at(a, indxs, vals) + assert_array_equal(a, expected) + assert np.all(indxs == [-1, 1, -1, 2]) + + def test_at_not_none_signature(self): + # Test ufuncs with non-trivial signature raise a TypeError + a = np.ones((2, 2, 2)) + b = np.ones((1, 2, 2)) + assert_raises(TypeError, np.matmul.at, a, [0], b) + + a = np.array([[[1, 2], [3, 4]]]) + assert_raises(TypeError, np.linalg._umath_linalg.det.at, a, [0]) + + def test_at_no_loop_for_op(self): + # str dtype does not have a ufunc loop for np.add + arr = np.ones(10, dtype=str) + with pytest.raises(np.core._exceptions._UFuncNoLoopError): + np.add.at(arr, [0, 1], [0, 1]) + + def test_at_output_casting(self): + arr = np.array([-1]) + np.equal.at(arr, [0], [0]) + assert arr[0] == 0 + + def test_at_broadcast_failure(self): + arr = np.arange(5) + with pytest.raises(ValueError): + np.add.at(arr, [0, 1], [1, 2, 3]) + + + def test_reduce_arguments(self): + f = np.add.reduce + d = np.ones((5,2), dtype=int) + o = np.ones((2,), dtype=d.dtype) + r = o * 5 + assert_equal(f(d), r) + # a, axis=0, dtype=None, out=None, keepdims=False + assert_equal(f(d, axis=0), r) + assert_equal(f(d, 0), r) + assert_equal(f(d, 0, dtype=None), r) + assert_equal(f(d, 0, dtype='i'), r) + assert_equal(f(d, 0, 'i'), r) + assert_equal(f(d, 0, None), r) + assert_equal(f(d, 0, None, out=None), r) + assert_equal(f(d, 0, None, out=o), r) + assert_equal(f(d, 0, None, o), r) + assert_equal(f(d, 0, None, None), r) + assert_equal(f(d, 0, None, None, keepdims=False), r) + assert_equal(f(d, 0, None, None, True), r.reshape((1,) + r.shape)) + assert_equal(f(d, 0, None, None, False, 0), r) + assert_equal(f(d, 0, None, None, False, initial=0), r) + assert_equal(f(d, 0, None, None, False, 0, True), r) + assert_equal(f(d, 0, None, None, False, 0, where=True), r) + # multiple keywords + assert_equal(f(d, axis=0, dtype=None, out=None, keepdims=False), r) + assert_equal(f(d, 0, dtype=None, out=None, keepdims=False), r) + assert_equal(f(d, 0, None, out=None, keepdims=False), r) + assert_equal(f(d, 0, None, out=None, keepdims=False, initial=0, + where=True), r) + + # too little + assert_raises(TypeError, f) + # too much + assert_raises(TypeError, f, d, 0, None, None, False, 0, True, 1) + # invalid axis + assert_raises(TypeError, f, d, "invalid") + assert_raises(TypeError, f, d, axis="invalid") + assert_raises(TypeError, f, d, axis="invalid", dtype=None, + keepdims=True) + # invalid dtype + assert_raises(TypeError, f, d, 0, "invalid") + assert_raises(TypeError, f, d, dtype="invalid") + assert_raises(TypeError, f, d, dtype="invalid", out=None) + # invalid out + assert_raises(TypeError, f, d, 0, None, "invalid") + assert_raises(TypeError, f, d, out="invalid") + assert_raises(TypeError, f, d, out="invalid", dtype=None) + # keepdims boolean, no invalid value + # assert_raises(TypeError, f, d, 0, None, None, "invalid") + # assert_raises(TypeError, f, d, keepdims="invalid", axis=0, dtype=None) + # invalid mix + assert_raises(TypeError, f, d, 0, keepdims="invalid", dtype="invalid", + out=None) + + # invalid keyword + assert_raises(TypeError, f, d, axis=0, dtype=None, invalid=0) + assert_raises(TypeError, f, d, invalid=0) + assert_raises(TypeError, f, d, 0, keepdims=True, invalid="invalid", + out=None) + assert_raises(TypeError, f, d, axis=0, dtype=None, keepdims=True, + out=None, invalid=0) + assert_raises(TypeError, f, d, axis=0, dtype=None, + out=None, invalid=0) + + def test_structured_equal(self): + # https://github.com/numpy/numpy/issues/4855 + + class MyA(np.ndarray): + def __array_ufunc__(self, ufunc, method, *inputs, **kwargs): + return getattr(ufunc, method)(*(input.view(np.ndarray) + for input in inputs), **kwargs) + a = np.arange(12.).reshape(4,3) + ra = a.view(dtype=('f8,f8,f8')).squeeze() + mra = ra.view(MyA) + + target = np.array([ True, False, False, False], dtype=bool) + assert_equal(np.all(target == (mra == ra[0])), True) + + def test_scalar_equal(self): + # Scalar comparisons should always work, without deprecation warnings. + # even when the ufunc fails. + a = np.array(0.) + b = np.array('a') + assert_(a != b) + assert_(b != a) + assert_(not (a == b)) + assert_(not (b == a)) + + def test_NotImplemented_not_returned(self): + # See gh-5964 and gh-2091. Some of these functions are not operator + # related and were fixed for other reasons in the past. + binary_funcs = [ + np.power, np.add, np.subtract, np.multiply, np.divide, + np.true_divide, np.floor_divide, np.bitwise_and, np.bitwise_or, + np.bitwise_xor, np.left_shift, np.right_shift, np.fmax, + np.fmin, np.fmod, np.hypot, np.logaddexp, np.logaddexp2, + np.maximum, np.minimum, np.mod, + np.greater, np.greater_equal, np.less, np.less_equal, + np.equal, np.not_equal] + + a = np.array('1') + b = 1 + c = np.array([1., 2.]) + for f in binary_funcs: + assert_raises(TypeError, f, a, b) + assert_raises(TypeError, f, c, a) + + @pytest.mark.parametrize("ufunc", + [np.logical_and, np.logical_or]) # logical_xor object loop is bad + @pytest.mark.parametrize("signature", + [(None, None, object), (object, None, None), + (None, object, None)]) + def test_logical_ufuncs_object_signatures(self, ufunc, signature): + a = np.array([True, None, False], dtype=object) + res = ufunc(a, a, signature=signature) + assert res.dtype == object + + @pytest.mark.parametrize("ufunc", + [np.logical_and, np.logical_or, np.logical_xor]) + @pytest.mark.parametrize("signature", + [(bool, None, object), (object, None, bool), + (None, object, bool)]) + def test_logical_ufuncs_mixed_object_signatures(self, ufunc, signature): + # Most mixed signatures fail (except those with bool out, e.g. `OO->?`) + a = np.array([True, None, False]) + with pytest.raises(TypeError): + ufunc(a, a, signature=signature) + + @pytest.mark.parametrize("ufunc", + [np.logical_and, np.logical_or, np.logical_xor]) + def test_logical_ufuncs_support_anything(self, ufunc): + # The logical ufuncs support even input that can't be promoted: + a = np.array(b'1', dtype="V3") + c = np.array([1., 2.]) + assert_array_equal(ufunc(a, c), ufunc([True, True], True)) + assert ufunc.reduce(a) == True + # check that the output has no effect: + out = np.zeros(2, dtype=np.int32) + expected = ufunc([True, True], True).astype(out.dtype) + assert_array_equal(ufunc(a, c, out=out), expected) + out = np.zeros((), dtype=np.int32) + assert ufunc.reduce(a, out=out) == True + # Last check, test reduction when out and a match (the complexity here + # is that the "i,i->?" may seem right, but should not match. + a = np.array([3], dtype="i") + out = np.zeros((), dtype=a.dtype) + assert ufunc.reduce(a, out=out) == 1 + + @pytest.mark.parametrize("ufunc", + [np.logical_and, np.logical_or, np.logical_xor]) + def test_logical_ufuncs_reject_string(self, ufunc): + """ + Logical ufuncs are normally well defined by working with the boolean + equivalent, i.e. casting all inputs to bools should work. + + However, casting strings to bools is *currently* weird, because it + actually uses `bool(int(str))`. Thus we explicitly reject strings. + This test should succeed (and can probably just be removed) as soon as + string to bool casts are well defined in NumPy. + """ + with pytest.raises(TypeError, match="contain a loop with signature"): + ufunc(["1"], ["3"]) + with pytest.raises(TypeError, match="contain a loop with signature"): + ufunc.reduce(["1", "2", "0"]) + + @pytest.mark.parametrize("ufunc", + [np.logical_and, np.logical_or, np.logical_xor]) + def test_logical_ufuncs_out_cast_check(self, ufunc): + a = np.array('1') + c = np.array([1., 2.]) + out = a.copy() + with pytest.raises(TypeError): + # It would be safe, but not equiv casting: + ufunc(a, c, out=out, casting="equiv") + + def test_reducelike_byteorder_resolution(self): + # See gh-20699, byte-order changes need some extra care in the type + # resolution to make the following succeed: + arr_be = np.arange(10, dtype=">i8") + arr_le = np.arange(10, dtype="<i8") + + assert np.add.reduce(arr_be) == np.add.reduce(arr_le) + assert_array_equal(np.add.accumulate(arr_be), np.add.accumulate(arr_le)) + assert_array_equal( + np.add.reduceat(arr_be, [1]), np.add.reduceat(arr_le, [1])) + + def test_reducelike_out_promotes(self): + # Check that the out argument to reductions is considered for + # promotion. See also gh-20455. + # Note that these paths could prefer `initial=` in the future and + # do not up-cast to the default integer for add and prod + arr = np.ones(1000, dtype=np.uint8) + out = np.zeros((), dtype=np.uint16) + assert np.add.reduce(arr, out=out) == 1000 + arr[:10] = 2 + assert np.multiply.reduce(arr, out=out) == 2**10 + + # For legacy dtypes, the signature currently has to be forced if `out=` + # is passed. The two paths below should differ, without `dtype=` the + # expected result should be: `np.prod(arr.astype("f8")).astype("f4")`! + arr = np.full(5, 2**25-1, dtype=np.int64) + + # float32 and int64 promote to float64: + res = np.zeros((), dtype=np.float32) + # If `dtype=` is passed, the calculation is forced to float32: + single_res = np.zeros((), dtype=np.float32) + np.multiply.reduce(arr, out=single_res, dtype=np.float32) + assert single_res != res + + def test_reducelike_output_needs_identical_cast(self): + # Checks the case where the we have a simple byte-swap works, maily + # tests that this is not rejected directly. + # (interesting because we require descriptor identity in reducelikes). + arr = np.ones(20, dtype="f8") + out = np.empty((), dtype=arr.dtype.newbyteorder()) + expected = np.add.reduce(arr) + np.add.reduce(arr, out=out) + assert_array_equal(expected, out) + # Check reduceat: + out = np.empty(2, dtype=arr.dtype.newbyteorder()) + expected = np.add.reduceat(arr, [0, 1]) + np.add.reduceat(arr, [0, 1], out=out) + assert_array_equal(expected, out) + # And accumulate: + out = np.empty(arr.shape, dtype=arr.dtype.newbyteorder()) + expected = np.add.accumulate(arr) + np.add.accumulate(arr, out=out) + assert_array_equal(expected, out) + + def test_reduce_noncontig_output(self): + # Check that reduction deals with non-contiguous output arrays + # appropriately. + # + # gh-8036 + + x = np.arange(7*13*8, dtype=np.int16).reshape(7, 13, 8) + x = x[4:6,1:11:6,1:5].transpose(1, 2, 0) + y_base = np.arange(4*4, dtype=np.int16).reshape(4, 4) + y = y_base[::2,:] + + y_base_copy = y_base.copy() + + r0 = np.add.reduce(x, out=y.copy(), axis=2) + r1 = np.add.reduce(x, out=y, axis=2) + + # The results should match, and y_base shouldn't get clobbered + assert_equal(r0, r1) + assert_equal(y_base[1,:], y_base_copy[1,:]) + assert_equal(y_base[3,:], y_base_copy[3,:]) + + @pytest.mark.parametrize("with_cast", [True, False]) + def test_reduceat_and_accumulate_out_shape_mismatch(self, with_cast): + # Should raise an error mentioning "shape" or "size" + arr = np.arange(5) + out = np.arange(3) # definitely wrong shape + if with_cast: + # If a cast is necessary on the output, we can be sure to use + # the generic NpyIter (non-fast) path. + out = out.astype(np.float64) + + with pytest.raises(ValueError, match="(shape|size)"): + np.add.reduceat(arr, [0, 3], out=out) + + with pytest.raises(ValueError, match="(shape|size)"): + np.add.accumulate(arr, out=out) + + @pytest.mark.parametrize('out_shape', + [(), (1,), (3,), (1, 1), (1, 3), (4, 3)]) + @pytest.mark.parametrize('keepdims', [True, False]) + @pytest.mark.parametrize('f_reduce', [np.add.reduce, np.minimum.reduce]) + def test_reduce_wrong_dimension_output(self, f_reduce, keepdims, out_shape): + # Test that we're not incorrectly broadcasting dimensions. + # See gh-15144 (failed for np.add.reduce previously). + a = np.arange(12.).reshape(4, 3) + out = np.empty(out_shape, a.dtype) + + correct_out = f_reduce(a, axis=0, keepdims=keepdims) + if out_shape != correct_out.shape: + with assert_raises(ValueError): + f_reduce(a, axis=0, out=out, keepdims=keepdims) + else: + check = f_reduce(a, axis=0, out=out, keepdims=keepdims) + assert_(check is out) + assert_array_equal(check, correct_out) + + def test_reduce_output_does_not_broadcast_input(self): + # Test that the output shape cannot broadcast an input dimension + # (it never can add dimensions, but it might expand an existing one) + a = np.ones((1, 10)) + out_correct = (np.empty((1, 1))) + out_incorrect = np.empty((3, 1)) + np.add.reduce(a, axis=-1, out=out_correct, keepdims=True) + np.add.reduce(a, axis=-1, out=out_correct[:, 0], keepdims=False) + with assert_raises(ValueError): + np.add.reduce(a, axis=-1, out=out_incorrect, keepdims=True) + with assert_raises(ValueError): + np.add.reduce(a, axis=-1, out=out_incorrect[:, 0], keepdims=False) + + def test_reduce_output_subclass_ok(self): + class MyArr(np.ndarray): + pass + + out = np.empty(()) + np.add.reduce(np.ones(5), out=out) # no subclass, all fine + out = out.view(MyArr) + assert np.add.reduce(np.ones(5), out=out) is out + assert type(np.add.reduce(out)) is MyArr + + def test_no_doc_string(self): + # gh-9337 + assert_('\n' not in umt.inner1d_no_doc.__doc__) + + def test_invalid_args(self): + # gh-7961 + exc = pytest.raises(TypeError, np.sqrt, None) + # minimally check the exception text + assert exc.match('loop of ufunc does not support') + + @pytest.mark.parametrize('nat', [np.datetime64('nat'), np.timedelta64('nat')]) + def test_nat_is_not_finite(self, nat): + try: + assert not np.isfinite(nat) + except TypeError: + pass # ok, just not implemented + + @pytest.mark.parametrize('nat', [np.datetime64('nat'), np.timedelta64('nat')]) + def test_nat_is_nan(self, nat): + try: + assert np.isnan(nat) + except TypeError: + pass # ok, just not implemented + + @pytest.mark.parametrize('nat', [np.datetime64('nat'), np.timedelta64('nat')]) + def test_nat_is_not_inf(self, nat): + try: + assert not np.isinf(nat) + except TypeError: + pass # ok, just not implemented + + +@pytest.mark.parametrize('ufunc', [getattr(np, x) for x in dir(np) + if isinstance(getattr(np, x), np.ufunc)]) +def test_ufunc_types(ufunc): + ''' + Check all ufuncs that the correct type is returned. Avoid + object and boolean types since many operations are not defined for + for them. + + Choose the shape so even dot and matmul will succeed + ''' + for typ in ufunc.types: + # types is a list of strings like ii->i + if 'O' in typ or '?' in typ: + continue + inp, out = typ.split('->') + args = [np.ones((3, 3), t) for t in inp] + with warnings.catch_warnings(record=True): + warnings.filterwarnings("always") + res = ufunc(*args) + if isinstance(res, tuple): + outs = tuple(out) + assert len(res) == len(outs) + for r, t in zip(res, outs): + assert r.dtype == np.dtype(t) + else: + assert res.dtype == np.dtype(out) + +@pytest.mark.parametrize('ufunc', [getattr(np, x) for x in dir(np) + if isinstance(getattr(np, x), np.ufunc)]) +@np._no_nep50_warning() +def test_ufunc_noncontiguous(ufunc): + ''' + Check that contiguous and non-contiguous calls to ufuncs + have the same results for values in range(9) + ''' + for typ in ufunc.types: + # types is a list of strings like ii->i + if any(set('O?mM') & set(typ)): + # bool, object, datetime are too irregular for this simple test + continue + inp, out = typ.split('->') + args_c = [np.empty(6, t) for t in inp] + args_n = [np.empty(18, t)[::3] for t in inp] + for a in args_c: + a.flat = range(1,7) + for a in args_n: + a.flat = range(1,7) + with warnings.catch_warnings(record=True): + warnings.filterwarnings("always") + res_c = ufunc(*args_c) + res_n = ufunc(*args_n) + if len(out) == 1: + res_c = (res_c,) + res_n = (res_n,) + for c_ar, n_ar in zip(res_c, res_n): + dt = c_ar.dtype + if np.issubdtype(dt, np.floating): + # for floating point results allow a small fuss in comparisons + # since different algorithms (libm vs. intrinsics) can be used + # for different input strides + res_eps = np.finfo(dt).eps + tol = 2*res_eps + assert_allclose(res_c, res_n, atol=tol, rtol=tol) + else: + assert_equal(c_ar, n_ar) + + +@pytest.mark.parametrize('ufunc', [np.sign, np.equal]) +def test_ufunc_warn_with_nan(ufunc): + # issue gh-15127 + # test that calling certain ufuncs with a non-standard `nan` value does not + # emit a warning + # `b` holds a 64 bit signaling nan: the most significant bit of the + # significand is zero. + b = np.array([0x7ff0000000000001], 'i8').view('f8') + assert np.isnan(b) + if ufunc.nin == 1: + ufunc(b) + elif ufunc.nin == 2: + ufunc(b, b.copy()) + else: + raise ValueError('ufunc with more than 2 inputs') + + +@pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") +def test_ufunc_out_casterrors(): + # Tests that casting errors are correctly reported and buffers are + # cleared. + # The following array can be added to itself as an object array, but + # the result cannot be cast to an integer output: + value = 123 # relies on python cache (leak-check will still find it) + arr = np.array([value] * int(np.BUFSIZE * 1.5) + + ["string"] + + [value] * int(1.5 * np.BUFSIZE), dtype=object) + out = np.ones(len(arr), dtype=np.intp) + + count = sys.getrefcount(value) + with pytest.raises(ValueError): + # Output casting failure: + np.add(arr, arr, out=out, casting="unsafe") + + assert count == sys.getrefcount(value) + # output is unchanged after the error, this shows that the iteration + # was aborted (this is not necessarily defined behaviour) + assert out[-1] == 1 + + with pytest.raises(ValueError): + # Input casting failure: + np.add(arr, arr, out=out, dtype=np.intp, casting="unsafe") + + assert count == sys.getrefcount(value) + # output is unchanged after the error, this shows that the iteration + # was aborted (this is not necessarily defined behaviour) + assert out[-1] == 1 + + +@pytest.mark.parametrize("bad_offset", [0, int(np.BUFSIZE * 1.5)]) +def test_ufunc_input_casterrors(bad_offset): + value = 123 + arr = np.array([value] * bad_offset + + ["string"] + + [value] * int(1.5 * np.BUFSIZE), dtype=object) + with pytest.raises(ValueError): + # Force cast inputs, but the buffered cast of `arr` to intp fails: + np.add(arr, arr, dtype=np.intp, casting="unsafe") + + +@pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") +@pytest.mark.parametrize("bad_offset", [0, int(np.BUFSIZE * 1.5)]) +def test_ufunc_input_floatingpoint_error(bad_offset): + value = 123 + arr = np.array([value] * bad_offset + + [np.nan] + + [value] * int(1.5 * np.BUFSIZE)) + with np.errstate(invalid="raise"), pytest.raises(FloatingPointError): + # Force cast inputs, but the buffered cast of `arr` to intp fails: + np.add(arr, arr, dtype=np.intp, casting="unsafe") + + +def test_trivial_loop_invalid_cast(): + # This tests the fast-path "invalid cast", see gh-19904. + with pytest.raises(TypeError, + match="cast ufunc 'add' input 0"): + # the void dtype definitely cannot cast to double: + np.add(np.array(1, "i,i"), 3, signature="dd->d") + + +@pytest.mark.skipif(not HAS_REFCOUNT, reason="Python lacks refcounts") +@pytest.mark.parametrize("offset", + [0, np.BUFSIZE//2, int(1.5*np.BUFSIZE)]) +def test_reduce_casterrors(offset): + # Test reporting of casting errors in reductions, we test various + # offsets to where the casting error will occur, since these may occur + # at different places during the reduction procedure. For example + # the first item may be special. + value = 123 # relies on python cache (leak-check will still find it) + arr = np.array([value] * offset + + ["string"] + + [value] * int(1.5 * np.BUFSIZE), dtype=object) + out = np.array(-1, dtype=np.intp) + + count = sys.getrefcount(value) + with pytest.raises(ValueError, match="invalid literal"): + # This is an unsafe cast, but we currently always allow that. + # Note that the double loop is picked, but the cast fails. + # `initial=None` disables the use of an identity here to test failures + # while copying the first values path (not used when identity exists). + np.add.reduce(arr, dtype=np.intp, out=out, initial=None) + assert count == sys.getrefcount(value) + # If an error occurred during casting, the operation is done at most until + # the error occurs (the result of which would be `value * offset`) and -1 + # if the error happened immediately. + # This does not define behaviour, the output is invalid and thus undefined + assert out[()] < value * offset + + +def test_object_reduce_cleanup_on_failure(): + # Test cleanup, including of the initial value (manually provided or not) + with pytest.raises(TypeError): + np.add.reduce([1, 2, None], initial=4) + + with pytest.raises(TypeError): + np.add.reduce([1, 2, None]) + + +@pytest.mark.skipif(IS_WASM, reason="fp errors don't work in wasm") +@pytest.mark.parametrize("method", + [np.add.accumulate, np.add.reduce, + pytest.param(lambda x: np.add.reduceat(x, [0]), id="reduceat"), + pytest.param(lambda x: np.log.at(x, [2]), id="at")]) +def test_ufunc_methods_floaterrors(method): + # adding inf and -inf (or log(-inf) creates an invalid float and warns + arr = np.array([np.inf, 0, -np.inf]) + with np.errstate(all="warn"): + with pytest.warns(RuntimeWarning, match="invalid value"): + method(arr) + + arr = np.array([np.inf, 0, -np.inf]) + with np.errstate(all="raise"): + with pytest.raises(FloatingPointError): + method(arr) + + +def _check_neg_zero(value): + if value != 0.0: + return False + if not np.signbit(value.real): + return False + if value.dtype.kind == "c": + return np.signbit(value.imag) + return True + +@pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) +def test_addition_negative_zero(dtype): + dtype = np.dtype(dtype) + if dtype.kind == "c": + neg_zero = dtype.type(complex(-0.0, -0.0)) + else: + neg_zero = dtype.type(-0.0) + + arr = np.array(neg_zero) + arr2 = np.array(neg_zero) + + assert _check_neg_zero(arr + arr2) + # In-place ops may end up on a different path (reduce path) see gh-21211 + arr += arr2 + assert _check_neg_zero(arr) + + +@pytest.mark.parametrize("dtype", np.typecodes["AllFloat"]) +@pytest.mark.parametrize("use_initial", [True, False]) +def test_addition_reduce_negative_zero(dtype, use_initial): + dtype = np.dtype(dtype) + if dtype.kind == "c": + neg_zero = dtype.type(complex(-0.0, -0.0)) + else: + neg_zero = dtype.type(-0.0) + + kwargs = {} + if use_initial: + kwargs["initial"] = neg_zero + else: + pytest.xfail("-0. propagation in sum currently requires initial") + + # Test various length, in case SIMD paths or chunking play a role. + # 150 extends beyond the pairwise blocksize; probably not important. + for i in range(0, 150): + arr = np.array([neg_zero] * i, dtype=dtype) + res = np.sum(arr, **kwargs) + if i > 0 or use_initial: + assert _check_neg_zero(res) + else: + # `sum([])` should probably be 0.0 and not -0.0 like `sum([-0.0])` + assert not np.signbit(res.real) + assert not np.signbit(res.imag) + +class TestLowlevelAPIAccess: + def test_resolve_dtypes_basic(self): + # Basic test for dtype resolution: + i4 = np.dtype("i4") + f4 = np.dtype("f4") + f8 = np.dtype("f8") + + r = np.add.resolve_dtypes((i4, f4, None)) + assert r == (f8, f8, f8) + + # Signature uses the same logic to parse as ufunc (less strict) + # the following is "same-kind" casting so works: + r = np.add.resolve_dtypes(( + i4, i4, None), signature=(None, None, "f4")) + assert r == (f4, f4, f4) + + # Check NEP 50 "weak" promotion also: + r = np.add.resolve_dtypes((f4, int, None)) + assert r == (f4, f4, f4) + + with pytest.raises(TypeError): + np.add.resolve_dtypes((i4, f4, None), casting="no") + + def test_weird_dtypes(self): + S0 = np.dtype("S0") + # S0 is often converted by NumPy to S1, but not here: + r = np.equal.resolve_dtypes((S0, S0, None)) + assert r == (S0, S0, np.dtype(bool)) + + # Subarray dtypes are weird and may not work fully, we preserve them + # leading to a TypeError (currently no equal loop for void/structured) + dts = np.dtype("10i") + with pytest.raises(TypeError): + np.equal.resolve_dtypes((dts, dts, None)) + + def test_resolve_dtypes_reduction(self): + i4 = np.dtype("i4") + with pytest.raises(NotImplementedError): + np.add.resolve_dtypes((i4, i4, i4), reduction=True) + + @pytest.mark.parametrize("dtypes", [ + (np.dtype("i"), np.dtype("i")), + (None, np.dtype("i"), np.dtype("f")), + (np.dtype("i"), None, np.dtype("f")), + ("i4", "i4", None)]) + def test_resolve_dtypes_errors(self, dtypes): + with pytest.raises(TypeError): + np.add.resolve_dtypes(dtypes) + + def test_resolve_dtypes_reduction(self): + i2 = np.dtype("i2") + long_ = np.dtype("long") + # Check special addition resolution: + res = np.add.resolve_dtypes((None, i2, None), reduction=True) + assert res == (long_, long_, long_) + + def test_resolve_dtypes_reduction_errors(self): + i2 = np.dtype("i2") + + with pytest.raises(TypeError): + np.add.resolve_dtypes((None, i2, i2)) + + with pytest.raises(TypeError): + np.add.signature((None, None, "i4")) + + @pytest.mark.skipif(not hasattr(ct, "pythonapi"), + reason="`ctypes.pythonapi` required for capsule unpacking.") + def test_loop_access(self): + # This is a basic test for the full strided loop access + data_t = ct.ARRAY(ct.c_char_p, 2) + dim_t = ct.ARRAY(ct.c_ssize_t, 1) + strides_t = ct.ARRAY(ct.c_ssize_t, 2) + strided_loop_t = ct.CFUNCTYPE( + ct.c_int, ct.c_void_p, data_t, dim_t, strides_t, ct.c_void_p) + + class call_info_t(ct.Structure): + _fields_ = [ + ("strided_loop", strided_loop_t), + ("context", ct.c_void_p), + ("auxdata", ct.c_void_p), + ("requires_pyapi", ct.c_byte), + ("no_floatingpoint_errors", ct.c_byte), + ] + + i4 = np.dtype("i4") + dt, call_info_obj = np.negative._resolve_dtypes_and_context((i4, i4)) + assert dt == (i4, i4) # can be used without casting + + # Fill in the rest of the information: + np.negative._get_strided_loop(call_info_obj) + + ct.pythonapi.PyCapsule_GetPointer.restype = ct.c_void_p + call_info = ct.pythonapi.PyCapsule_GetPointer( + ct.py_object(call_info_obj), + ct.c_char_p(b"numpy_1.24_ufunc_call_info")) + + call_info = ct.cast(call_info, ct.POINTER(call_info_t)).contents + + arr = np.arange(10, dtype=i4) + call_info.strided_loop( + call_info.context, + data_t(arr.ctypes.data, arr.ctypes.data), + arr.ctypes.shape, # is a C-array with 10 here + strides_t(arr.ctypes.strides[0], arr.ctypes.strides[0]), + call_info.auxdata) + + # We just directly called the negative inner-loop in-place: + assert_array_equal(arr, -np.arange(10, dtype=i4)) + + @pytest.mark.parametrize("strides", [1, (1, 2, 3), (1, "2")]) + def test__get_strided_loop_errors_bad_strides(self, strides): + i4 = np.dtype("i4") + dt, call_info = np.negative._resolve_dtypes_and_context((i4, i4)) + + with pytest.raises(TypeError, match="fixed_strides.*tuple.*or None"): + np.negative._get_strided_loop(call_info, fixed_strides=strides) + + def test__get_strided_loop_errors_bad_call_info(self): + i4 = np.dtype("i4") + dt, call_info = np.negative._resolve_dtypes_and_context((i4, i4)) + + with pytest.raises(ValueError, match="PyCapsule"): + np.negative._get_strided_loop("not the capsule!") + + with pytest.raises(TypeError, match=".*incompatible context"): + np.add._get_strided_loop(call_info) + + np.negative._get_strided_loop(call_info) + with pytest.raises(TypeError): + # cannot call it a second time: + np.negative._get_strided_loop(call_info) + + def test_long_arrays(self): + t = np.zeros((1029, 917), dtype=np.single) + t[0][0] = 1 + t[28][414] = 1 + tc = np.cos(t) + assert_equal(tc[0][0], tc[28][414]) |