Merged revisions 76295 via svnmerge from
svn+ssh://pythondev@svn.python.org/python/trunk ........ r76295 | mark.dickinson | 2009-11-15 12:31:13 +0000 (Sun, 15 Nov 2009) | 5 lines Avoid signed overflow in some xrange calculations, and extend xrange tests to cover some special cases that caused problems in py3k. This is a partial backport of r76292-76293 (see issue #7298.) ........
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@ -3,12 +3,49 @@
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import test.test_support, unittest
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import sys
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import pickle
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import itertools
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import warnings
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warnings.filterwarnings("ignore", "integer argument expected",
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DeprecationWarning, "unittest")
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# pure Python implementations (3 args only), for comparison
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def pyrange(start, stop, step):
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if (start - stop) // step < 0:
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# replace stop with next element in the sequence of integers
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# that are congruent to start modulo step.
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stop += (start - stop) % step
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while start != stop:
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yield start
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start += step
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def pyrange_reversed(start, stop, step):
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stop += (start - stop) % step
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return pyrange(stop - step, start - step, -step)
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class XrangeTest(unittest.TestCase):
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def assert_iterators_equal(self, xs, ys, test_id, limit=None):
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# check that an iterator xs matches the expected results ys,
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# up to a given limit.
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if limit is not None:
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xs = itertools.islice(xs, limit)
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ys = itertools.islice(ys, limit)
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sentinel = object()
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pairs = itertools.izip_longest(xs, ys, fillvalue=sentinel)
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for i, (x, y) in enumerate(pairs):
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if x == y:
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continue
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elif x == sentinel:
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self.fail('{0}: iterator ended unexpectedly '
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'at position {1}; expected {2}'.format(test_id, i, y))
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elif y == sentinel:
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self.fail('{0}: unexpected excess element {1} at '
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'position {2}'.format(test_id, x, i))
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else:
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self.fail('{0}: wrong element at position {1};'
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'expected {2}, got {3}'.format(test_id, i, y, x))
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def test_xrange(self):
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self.assertEqual(list(xrange(3)), [0, 1, 2])
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self.assertEqual(list(xrange(1, 5)), [1, 2, 3, 4])
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@ -67,6 +104,38 @@ class XrangeTest(unittest.TestCase):
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self.assertEquals(list(pickle.loads(pickle.dumps(r, proto))),
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list(r))
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def test_range_iterators(self):
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# see issue 7298
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limits = [base + jiggle
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for M in (2**32, 2**64)
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for base in (-M, -M//2, 0, M//2, M)
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for jiggle in (-2, -1, 0, 1, 2)]
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test_ranges = [(start, end, step)
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for start in limits
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for end in limits
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for step in (-2**63, -2**31, -2, -1, 1, 2)]
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for start, end, step in test_ranges:
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try:
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iter1 = xrange(start, end, step)
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except OverflowError:
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pass
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else:
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iter2 = pyrange(start, end, step)
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test_id = "xrange({0}, {1}, {2})".format(start, end, step)
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# check first 100 entries
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self.assert_iterators_equal(iter1, iter2, test_id, limit=100)
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try:
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iter1 = reversed(xrange(start, end, step))
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except OverflowError:
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pass
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else:
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iter2 = pyrange_reversed(start, end, step)
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test_id = "reversed(xrange({0}, {1}, {2}))".format(
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start, end, step)
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self.assert_iterators_equal(iter1, iter2, test_id, limit=100)
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def test_main():
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test.test_support.run_unittest(XrangeTest)
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@ -9,33 +9,32 @@ typedef struct {
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long len;
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} rangeobject;
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/* Return number of items in range/xrange (lo, hi, step). step > 0
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* required. Return a value < 0 if & only if the true value is too
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* large to fit in a signed long.
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/* Return number of items in range (lo, hi, step). step != 0
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* required. The result always fits in an unsigned long.
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*/
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static long
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static unsigned long
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get_len_of_range(long lo, long hi, long step)
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{
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/* -------------------------------------------------------------
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If lo >= hi, the range is empty.
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Else if n values are in the range, the last one is
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lo + (n-1)*step, which must be <= hi-1. Rearranging,
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n <= (hi - lo - 1)/step + 1, so taking the floor of the RHS gives
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the proper value. Since lo < hi in this case, hi-lo-1 >= 0, so
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the RHS is non-negative and so truncation is the same as the
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floor. Letting M be the largest positive long, the worst case
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for the RHS numerator is hi=M, lo=-M-1, and then
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hi-lo-1 = M-(-M-1)-1 = 2*M. Therefore unsigned long has enough
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precision to compute the RHS exactly.
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---------------------------------------------------------------*/
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long n = 0;
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if (lo < hi) {
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unsigned long uhi = (unsigned long)hi;
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unsigned long ulo = (unsigned long)lo;
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unsigned long diff = uhi - ulo - 1;
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n = (long)(diff / (unsigned long)step + 1);
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}
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return n;
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/* -------------------------------------------------------------
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If step > 0 and lo >= hi, or step < 0 and lo <= hi, the range is empty.
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Else for step > 0, if n values are in the range, the last one is
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lo + (n-1)*step, which must be <= hi-1. Rearranging,
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n <= (hi - lo - 1)/step + 1, so taking the floor of the RHS gives
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the proper value. Since lo < hi in this case, hi-lo-1 >= 0, so
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the RHS is non-negative and so truncation is the same as the
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floor. Letting M be the largest positive long, the worst case
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for the RHS numerator is hi=M, lo=-M-1, and then
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hi-lo-1 = M-(-M-1)-1 = 2*M. Therefore unsigned long has enough
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precision to compute the RHS exactly. The analysis for step < 0
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is similar.
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---------------------------------------------------------------*/
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assert(step != 0);
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if (step > 0 && lo < hi)
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return 1UL + (hi - 1UL - lo) / step;
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else if (step < 0 && lo > hi)
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return 1UL + (lo - 1UL - hi) / (0UL - step);
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else
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return 0UL;
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}
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static PyObject *
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@ -43,7 +42,7 @@ range_new(PyTypeObject *type, PyObject *args, PyObject *kw)
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{
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rangeobject *obj;
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long ilow = 0, ihigh = 0, istep = 1;
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long n;
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unsigned long n;
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if (!_PyArg_NoKeywords("xrange()", kw))
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return NULL;
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PyErr_SetString(PyExc_ValueError, "xrange() arg 3 must not be zero");
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return NULL;
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}
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if (istep > 0)
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n = get_len_of_range(ilow, ihigh, istep);
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else
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n = get_len_of_range(ihigh, ilow, -istep);
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if (n < 0) {
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n = get_len_of_range(ilow, ihigh, istep);
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if (n > (unsigned long)LONG_MAX || (long)n > PY_SSIZE_T_MAX) {
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PyErr_SetString(PyExc_OverflowError,
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"xrange() result has too many items");
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return NULL;
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@ -78,7 +74,7 @@ range_new(PyTypeObject *type, PyObject *args, PyObject *kw)
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if (obj == NULL)
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return NULL;
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obj->start = ilow;
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obj->len = n;
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obj->len = (long)n;
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obj->step = istep;
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return (PyObject *) obj;
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}
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@ -98,7 +94,9 @@ range_item(rangeobject *r, Py_ssize_t i)
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"xrange object index out of range");
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return NULL;
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}
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return PyInt_FromSsize_t(r->start + i * r->step);
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/* do calculation entirely using unsigned longs, to avoid
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undefined behaviour due to signed overflow. */
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return PyInt_FromLong((long)(r->start + (unsigned long)i * r->step));
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}
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static Py_ssize_t
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@ -304,9 +302,21 @@ range_reverse(PyObject *seq)
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len = ((rangeobject *)seq)->len;
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it->index = 0;
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it->start = start + (len-1) * step;
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it->step = -step;
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it->len = len;
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/* the casts below guard against signed overflow by turning it
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into unsigned overflow instead. The correctness of this
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code still depends on conversion from unsigned long to long
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wrapping modulo ULONG_MAX+1, which isn't guaranteed (see
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C99 6.3.1.3p3) but seems to hold in practice for all
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platforms we're likely to meet.
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If step == LONG_MIN then we still end up with LONG_MIN
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after negation; but this works out, since we've still got
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the correct value modulo ULONG_MAX+1, and the range_item
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calculation is also done modulo ULONG_MAX+1.
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*/
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it->start = (long)(start + (unsigned long)(len-1) * step);
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it->step = (long)(-(unsigned long)step);
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return (PyObject *)it;
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}
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