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Original file line number Diff line number Diff line change
@@ -0,0 +1 @@
Improve performance of division and shifts of :class:`int`.
51 changes: 28 additions & 23 deletions Objects/longobject.c
Original file line number Diff line number Diff line change
Expand Up @@ -1905,15 +1905,17 @@ static digit
v_lshift(digit *z, digit *a, Py_ssize_t m, int d)
{
Py_ssize_t i;
twodigits carry = 0;
int e = PyLong_SHIFT - d;

assert(0 <= d && d < PyLong_SHIFT);
for (i=0; i < m; i++) {
twodigits acc = (twodigits)a[i] << d | carry;
z[i] = (digit)acc & PyLong_MASK;
carry = acc >> PyLong_SHIFT;
assert(m > 0);
/* Build each digit from two digits of a, rather than passing a carry
from one iteration to the next, so that the loop can be vectorized. */
z[0] = (a[0] << d) & PyLong_MASK;
for (i=1; i < m; i++) {
z[i] = ((a[i] << d) | (a[i-1] >> e)) & PyLong_MASK;
}
return (digit)carry;
return a[m-1] >> e;
}

/* Shift digit vector a[0:m] d bits right, with 0 <= d < PyLong_SHIFT. Put
Expand All @@ -1923,16 +1925,17 @@ static digit
v_rshift(digit *z, digit *a, Py_ssize_t m, int d)
{
Py_ssize_t i;
twodigits carry = 0;
twodigits mask = ((twodigits)1 << d) - 1U;
int e = PyLong_SHIFT - d;
digit mask = ((digit)1 << d) - 1U;

assert(0 <= d && d < PyLong_SHIFT);
for (i=m; i-- > 0;) {
twodigits acc = carry << PyLong_SHIFT | a[i];
carry = acc & mask;
z[i] = (digit)(acc >> d);
assert(m > 0);
/* As in v_lshift(), no carry is passed between iterations. */
for (i=0; i < m-1; i++) {
z[i] = (a[i] >> d) | ((a[i+1] << e) & PyLong_MASK);
}
return (digit)carry;
z[m-1] = a[m-1] >> d;
return a[0] & mask;
}

/* Divide long pin, w/ size digits, by non-zero digit n, storing quotient
Expand Down Expand Up @@ -5356,6 +5359,12 @@ long_rshift1(PyLongObject *a, Py_ssize_t wordshift, digit remshift)
if (z == NULL) {
return NULL;
}
if (!a_negative) {
/* A plain shift; only negative values need the rounding below. */
v_rshift(z->long_value.ob_digit, a->long_value.ob_digit + wordshift,
newsize, remshift);
return (PyObject *)maybe_small_long(long_normalize(z));
}
hishift = PyLong_SHIFT - remshift;

accum = a->long_value.ob_digit[wordshift];
Expand Down Expand Up @@ -5453,8 +5462,8 @@ static PyObject *
long_lshift1(PyLongObject *a, Py_ssize_t wordshift, digit remshift)
{
PyLongObject *z = NULL;
Py_ssize_t oldsize, newsize, i, j;
twodigits accum;
Py_ssize_t oldsize, newsize, i;
digit carry;

if (wordshift == 0 && _PyLong_IsCompact(a)) {
stwodigits m = medium_value(a);
Expand All @@ -5476,16 +5485,12 @@ long_lshift1(PyLongObject *a, Py_ssize_t wordshift, digit remshift)
}
for (i = 0; i < wordshift; i++)
z->long_value.ob_digit[i] = 0;
accum = 0;
for (j = 0; j < oldsize; i++, j++) {
accum |= (twodigits)a->long_value.ob_digit[j] << remshift;
z->long_value.ob_digit[i] = (digit)(accum & PyLong_MASK);
accum >>= PyLong_SHIFT;
}
carry = v_lshift(z->long_value.ob_digit + wordshift,
a->long_value.ob_digit, oldsize, remshift);
if (remshift)
z->long_value.ob_digit[newsize-1] = (digit)accum;
z->long_value.ob_digit[newsize-1] = carry;
else
assert(!accum);
assert(!carry);
z = long_normalize(z);
return (PyObject *) maybe_small_long(z);
}
Expand Down
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