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+import itertools
+import contextlib
+import operator
+import pytest
+
+import numpy as np
+import numpy.core._multiarray_tests as mt
+
+from numpy.testing import assert_raises, assert_equal
+
+
+INT64_MAX = np.iinfo(np.int64).max
+INT64_MIN = np.iinfo(np.int64).min
+INT64_MID = 2**32
+
+# int128 is not two's complement, the sign bit is separate
+INT128_MAX = 2**128 - 1
+INT128_MIN = -INT128_MAX
+INT128_MID = 2**64
+
+INT64_VALUES = (
+ [INT64_MIN + j for j in range(20)] +
+ [INT64_MAX - j for j in range(20)] +
+ [INT64_MID + j for j in range(-20, 20)] +
+ [2*INT64_MID + j for j in range(-20, 20)] +
+ [INT64_MID//2 + j for j in range(-20, 20)] +
+ list(range(-70, 70))
+)
+
+INT128_VALUES = (
+ [INT128_MIN + j for j in range(20)] +
+ [INT128_MAX - j for j in range(20)] +
+ [INT128_MID + j for j in range(-20, 20)] +
+ [2*INT128_MID + j for j in range(-20, 20)] +
+ [INT128_MID//2 + j for j in range(-20, 20)] +
+ list(range(-70, 70)) +
+ [False] # negative zero
+)
+
+INT64_POS_VALUES = [x for x in INT64_VALUES if x > 0]
+
+
+@contextlib.contextmanager
+def exc_iter(*args):
+ """
+ Iterate over Cartesian product of *args, and if an exception is raised,
+ add information of the current iterate.
+ """
+
+ value = [None]
+
+ def iterate():
+ for v in itertools.product(*args):
+ value[0] = v
+ yield v
+
+ try:
+ yield iterate()
+ except Exception:
+ import traceback
+ msg = "At: %r\n%s" % (repr(value[0]),
+ traceback.format_exc())
+ raise AssertionError(msg)
+
+
+def test_safe_binop():
+ # Test checked arithmetic routines
+
+ ops = [
+ (operator.add, 1),
+ (operator.sub, 2),
+ (operator.mul, 3)
+ ]
+
+ with exc_iter(ops, INT64_VALUES, INT64_VALUES) as it:
+ for xop, a, b in it:
+ pyop, op = xop
+ c = pyop(a, b)
+
+ if not (INT64_MIN <= c <= INT64_MAX):
+ assert_raises(OverflowError, mt.extint_safe_binop, a, b, op)
+ else:
+ d = mt.extint_safe_binop(a, b, op)
+ if c != d:
+ # assert_equal is slow
+ assert_equal(d, c)
+
+
+def test_to_128():
+ with exc_iter(INT64_VALUES) as it:
+ for a, in it:
+ b = mt.extint_to_128(a)
+ if a != b:
+ assert_equal(b, a)
+
+
+def test_to_64():
+ with exc_iter(INT128_VALUES) as it:
+ for a, in it:
+ if not (INT64_MIN <= a <= INT64_MAX):
+ assert_raises(OverflowError, mt.extint_to_64, a)
+ else:
+ b = mt.extint_to_64(a)
+ if a != b:
+ assert_equal(b, a)
+
+
+def test_mul_64_64():
+ with exc_iter(INT64_VALUES, INT64_VALUES) as it:
+ for a, b in it:
+ c = a * b
+ d = mt.extint_mul_64_64(a, b)
+ if c != d:
+ assert_equal(d, c)
+
+
+def test_add_128():
+ with exc_iter(INT128_VALUES, INT128_VALUES) as it:
+ for a, b in it:
+ c = a + b
+ if not (INT128_MIN <= c <= INT128_MAX):
+ assert_raises(OverflowError, mt.extint_add_128, a, b)
+ else:
+ d = mt.extint_add_128(a, b)
+ if c != d:
+ assert_equal(d, c)
+
+
+def test_sub_128():
+ with exc_iter(INT128_VALUES, INT128_VALUES) as it:
+ for a, b in it:
+ c = a - b
+ if not (INT128_MIN <= c <= INT128_MAX):
+ assert_raises(OverflowError, mt.extint_sub_128, a, b)
+ else:
+ d = mt.extint_sub_128(a, b)
+ if c != d:
+ assert_equal(d, c)
+
+
+def test_neg_128():
+ with exc_iter(INT128_VALUES) as it:
+ for a, in it:
+ b = -a
+ c = mt.extint_neg_128(a)
+ if b != c:
+ assert_equal(c, b)
+
+
+def test_shl_128():
+ with exc_iter(INT128_VALUES) as it:
+ for a, in it:
+ if a < 0:
+ b = -(((-a) << 1) & (2**128-1))
+ else:
+ b = (a << 1) & (2**128-1)
+ c = mt.extint_shl_128(a)
+ if b != c:
+ assert_equal(c, b)
+
+
+def test_shr_128():
+ with exc_iter(INT128_VALUES) as it:
+ for a, in it:
+ if a < 0:
+ b = -((-a) >> 1)
+ else:
+ b = a >> 1
+ c = mt.extint_shr_128(a)
+ if b != c:
+ assert_equal(c, b)
+
+
+def test_gt_128():
+ with exc_iter(INT128_VALUES, INT128_VALUES) as it:
+ for a, b in it:
+ c = a > b
+ d = mt.extint_gt_128(a, b)
+ if c != d:
+ assert_equal(d, c)
+
+
+@pytest.mark.slow
+def test_divmod_128_64():
+ with exc_iter(INT128_VALUES, INT64_POS_VALUES) as it:
+ for a, b in it:
+ if a >= 0:
+ c, cr = divmod(a, b)
+ else:
+ c, cr = divmod(-a, b)
+ c = -c
+ cr = -cr
+
+ d, dr = mt.extint_divmod_128_64(a, b)
+
+ if c != d or d != dr or b*d + dr != a:
+ assert_equal(d, c)
+ assert_equal(dr, cr)
+ assert_equal(b*d + dr, a)
+
+
+def test_floordiv_128_64():
+ with exc_iter(INT128_VALUES, INT64_POS_VALUES) as it:
+ for a, b in it:
+ c = a // b
+ d = mt.extint_floordiv_128_64(a, b)
+
+ if c != d:
+ assert_equal(d, c)
+
+
+def test_ceildiv_128_64():
+ with exc_iter(INT128_VALUES, INT64_POS_VALUES) as it:
+ for a, b in it:
+ c = (a + b - 1) // b
+ d = mt.extint_ceildiv_128_64(a, b)
+
+ if c != d:
+ assert_equal(d, c)