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bpo-46055: Speed up binary shifting operators #30044

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Dec 27, 2021
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63 changes: 61 additions & 2 deletions Lib/test/test_long.py
Original file line number Diff line number Diff line change
Expand Up @@ -946,8 +946,13 @@ def test_huge_lshift(self, size):
self.assertEqual(1 << (sys.maxsize + 1000), 1 << 1000 << sys.maxsize)

def test_huge_rshift(self):
self.assertEqual(42 >> (1 << 1000), 0)
self.assertEqual((-42) >> (1 << 1000), -1)
huge_shift = 1 << 1000
self.assertEqual(42 >> huge_shift, 0)
self.assertEqual((-42) >> huge_shift, -1)
self.assertEqual(1123 >> huge_shift, 0)
self.assertEqual((-1123) >> huge_shift, -1)
self.assertEqual(2**128 >> huge_shift, 0)
self.assertEqual(-2**128 >> huge_shift, -1)

@support.cpython_only
@support.bigmemtest(sys.maxsize + 500, memuse=2/15, dry_run=False)
Expand All @@ -956,6 +961,60 @@ def test_huge_rshift_of_huge(self, size):
self.assertEqual(huge >> (sys.maxsize + 1), (1 << 499) + 5)
self.assertEqual(huge >> (sys.maxsize + 1000), 0)

def test_small_rshift(self):
self.assertEqual(42 >> 1, 21)
self.assertEqual((-42) >> 1, -21)
self.assertEqual(43 >> 1, 21)
self.assertEqual((-43) >> 1, -22)

self.assertEqual(1122 >> 1, 561)
self.assertEqual((-1122) >> 1, -561)
self.assertEqual(1123 >> 1, 561)
self.assertEqual((-1123) >> 1, -562)

self.assertEqual(2**128 >> 1, 2**127)
self.assertEqual(-2**128 >> 1, -2**127)
self.assertEqual((2**128 + 1) >> 1, 2**127)
self.assertEqual(-(2**128 + 1) >> 1, -2**127 - 1)

def test_medium_rshift(self):
self.assertEqual(42 >> 9, 0)
self.assertEqual((-42) >> 9, -1)
self.assertEqual(1122 >> 9, 2)
self.assertEqual((-1122) >> 9, -3)
self.assertEqual(2**128 >> 9, 2**119)
self.assertEqual(-2**128 >> 9, -2**119)

def test_big_rshift(self):
self.assertEqual(42 >> 32, 0)
self.assertEqual((-42) >> 32, -1)
self.assertEqual(1122 >> 32, 0)
self.assertEqual((-1122) >> 32, -1)
self.assertEqual(2**128 >> 32, 2**96)
self.assertEqual(-2**128 >> 32, -2**96)

def test_small_lshift(self):
self.assertEqual(42 << 1, 84)
self.assertEqual((-42) << 1, -84)
self.assertEqual(561 << 1, 1122)
self.assertEqual((-561) << 1, -1122)
self.assertEqual(2**127 << 1, 2**128)
self.assertEqual(-2**127 << 1, -2**128)

def test_medium_lshift(self):
self.assertEqual(42 << 9, 21504)
self.assertEqual((-42) << 9, -21504)
self.assertEqual(1122 << 9, 574464)
self.assertEqual((-1122) << 9, -574464)

def test_big_lshift(self):
self.assertEqual(42 << 32, 42 * 2**32)
self.assertEqual((-42) << 32, -42 * 2**32)
self.assertEqual(1122 << 32, 1122 * 2**32)
self.assertEqual((-1122) << 32, -1122 * 2**32)
self.assertEqual(2**128 << 32, 2**160)
self.assertEqual(-2**128 << 32, -2**160)

@support.cpython_only
def test_small_ints_in_huge_calculation(self):
a = 2 ** 100
Expand Down
1 change: 1 addition & 0 deletions Misc/ACKS
Original file line number Diff line number Diff line change
Expand Up @@ -1964,6 +1964,7 @@ Doug Wyatt
Xiang Zhang
Robert Xiao
Florent Xicluna
Xinhang Xu
Arnon Yaari
Alakshendra Yadav
Hirokazu Yamamoto
Expand Down
Original file line number Diff line number Diff line change
@@ -0,0 +1,2 @@
Speed up shifting operation involving integers less than
:c:macro:`PyLong_BASE`. Patch by Xinhang Xu.
17 changes: 16 additions & 1 deletion Objects/longobject.c
Original file line number Diff line number Diff line change
Expand Up @@ -4493,6 +4493,15 @@ long_rshift1(PyLongObject *a, Py_ssize_t wordshift, digit remshift)
Py_ssize_t newsize, hishift, i, j;
twodigits accum;

if (IS_MEDIUM_VALUE(a)) {
stwodigits m, x;
digit shift;
m = medium_value(a);
shift = wordshift == 0 ? remshift : PyLong_SHIFT;
x = m < 0 ? ~(~m >> shift) : m >> shift;
return _PyLong_FromSTwoDigits(x);
}

if (Py_SIZE(a) < 0) {
/* Right shifting negative numbers is harder */
PyLongObject *a1, *a2;
Expand Down Expand Up @@ -4566,11 +4575,17 @@ _PyLong_Rshift(PyObject *a, size_t shiftby)
static PyObject *
long_lshift1(PyLongObject *a, Py_ssize_t wordshift, digit remshift)
{
/* This version due to Tim Peters */
PyLongObject *z = NULL;
Py_ssize_t oldsize, newsize, i, j;
twodigits accum;

if (wordshift == 0 && IS_MEDIUM_VALUE(a)) {
stwodigits m = medium_value(a);
// bypass undefined shift operator behavior
stwodigits x = m < 0 ? -(-m << remshift) : m << remshift;
return _PyLong_FromSTwoDigits(x);
}

oldsize = Py_ABS(Py_SIZE(a));
newsize = oldsize + wordshift;
if (remshift)
Expand Down