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-rw-r--r--Include/internal/pycore_bitutils.h47
-rw-r--r--Include/pymath.h8
-rw-r--r--Modules/_testinternalcapi.c40
-rw-r--r--Modules/mathmodule.c1
-rw-r--r--Objects/longobject.c25
-rw-r--r--Python/pymath.c15
6 files changed, 100 insertions, 36 deletions
diff --git a/Include/internal/pycore_bitutils.h b/Include/internal/pycore_bitutils.h
index 36ffe23..0bd3270 100644
--- a/Include/internal/pycore_bitutils.h
+++ b/Include/internal/pycore_bitutils.h
@@ -7,8 +7,8 @@
- _Py_bswap64(uint64_t)
*/
-#ifndef Py_INTERNAL_BSWAP_H
-#define Py_INTERNAL_BSWAP_H
+#ifndef Py_INTERNAL_BITUTILS_H
+#define Py_INTERNAL_BITUTILS_H
#ifdef __cplusplus
extern "C" {
#endif
@@ -131,8 +131,47 @@ _Py_popcount32(uint32_t x)
}
+// Return the index of the most significant 1 bit in 'x'. This is the smallest
+// integer k such that x < 2**k. Equivalent to floor(log2(x)) + 1 for x != 0.
+static inline int
+_Py_bit_length(unsigned long x)
+{
+#if (defined(__clang__) || defined(__GNUC__))
+ if (x != 0) {
+ // __builtin_clzl() is available since GCC 3.4.
+ // Undefined behavior for x == 0.
+ return (int)sizeof(unsigned long) * 8 - __builtin_clzl(x);
+ }
+ else {
+ return 0;
+ }
+#elif defined(_MSC_VER)
+ // _BitScanReverse() is documented to search 32 bits.
+ Py_BUILD_ASSERT(sizeof(unsigned long) <= 4);
+ unsigned long msb;
+ if (_BitScanReverse(&msb, x)) {
+ return (int)msb + 1;
+ }
+ else {
+ return 0;
+ }
+#else
+ const int BIT_LENGTH_TABLE[32] = {
+ 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4,
+ 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5
+ };
+ int msb = 0;
+ while (x >= 32) {
+ msb += 6;
+ x >>= 6;
+ }
+ msb += BIT_LENGTH_TABLE[x];
+ return msb;
+#endif
+}
+
+
#ifdef __cplusplus
}
#endif
-#endif /* !Py_INTERNAL_BSWAP_H */
-
+#endif /* !Py_INTERNAL_BITUTILS_H */
diff --git a/Include/pymath.h b/Include/pymath.h
index 63ca972..f869724 100644
--- a/Include/pymath.h
+++ b/Include/pymath.h
@@ -227,12 +227,4 @@ PyAPI_FUNC(void) _Py_set_387controlword(unsigned short);
* behavior. */
#define _Py_InIntegralTypeRange(type, v) (_Py_IntegralTypeMin(type) <= v && v <= _Py_IntegralTypeMax(type))
-/* Return the smallest integer k such that n < 2**k, or 0 if n == 0.
- * Equivalent to floor(log2(x))+1. Also equivalent to: bitwidth_of_type -
- * count_leading_zero_bits(x)
- */
-#ifndef Py_LIMITED_API
-PyAPI_FUNC(unsigned int) _Py_bit_length(unsigned long d);
-#endif
-
#endif /* Py_PYMATH_H */
diff --git a/Modules/_testinternalcapi.c b/Modules/_testinternalcapi.c
index 6d5af59..7970e2f 100644
--- a/Modules/_testinternalcapi.c
+++ b/Modules/_testinternalcapi.c
@@ -102,6 +102,45 @@ test_popcount(PyObject *self, PyObject *Py_UNUSED(args))
}
+static int
+check_bit_length(unsigned long x, int expected)
+{
+ // Use volatile to prevent the compiler to optimize out the whole test
+ volatile unsigned long u = x;
+ int len = _Py_bit_length(u);
+ if (len != expected) {
+ PyErr_Format(PyExc_AssertionError,
+ "_Py_bit_length(%lu) returns %i, expected %i",
+ x, len, expected);
+ return -1;
+ }
+ return 0;
+}
+
+
+static PyObject*
+test_bit_length(PyObject *self, PyObject *Py_UNUSED(args))
+{
+#define CHECK(X, RESULT) \
+ do { \
+ if (check_bit_length(X, RESULT) < 0) { \
+ return NULL; \
+ } \
+ } while (0)
+
+ CHECK(0, 0);
+ CHECK(1, 1);
+ CHECK(0x1000, 13);
+ CHECK(0x1234, 13);
+ CHECK(0x54321, 19);
+ CHECK(0x7FFFFFFF, 31);
+ CHECK(0xFFFFFFFF, 32);
+ Py_RETURN_NONE;
+
+#undef CHECK
+}
+
+
#define TO_PTR(ch) ((void*)(uintptr_t)ch)
#define FROM_PTR(ptr) ((uintptr_t)ptr)
#define VALUE(key) (1 + ((int)(key) - 'a'))
@@ -197,6 +236,7 @@ static PyMethodDef TestMethods[] = {
{"get_recursion_depth", get_recursion_depth, METH_NOARGS},
{"test_bswap", test_bswap, METH_NOARGS},
{"test_popcount", test_popcount, METH_NOARGS},
+ {"test_bit_length", test_bit_length, METH_NOARGS},
{"test_hashtable", test_hashtable, METH_NOARGS},
{NULL, NULL} /* sentinel */
};
diff --git a/Modules/mathmodule.c b/Modules/mathmodule.c
index cb05ce7..4450ce1 100644
--- a/Modules/mathmodule.c
+++ b/Modules/mathmodule.c
@@ -53,6 +53,7 @@ raised for division by zero and mod by zero.
*/
#include "Python.h"
+#include "pycore_bitutils.h" // _Py_bit_length()
#include "pycore_dtoa.h"
#include "_math.h"
diff --git a/Objects/longobject.c b/Objects/longobject.c
index dead3e3..d92a9c5 100644
--- a/Objects/longobject.c
+++ b/Objects/longobject.c
@@ -695,6 +695,13 @@ _PyLong_Sign(PyObject *vv)
return Py_SIZE(v) == 0 ? 0 : (Py_SIZE(v) < 0 ? -1 : 1);
}
+static int
+bit_length_digit(digit x)
+{
+ Py_BUILD_ASSERT(PyLong_SHIFT <= sizeof(unsigned long) * 8);
+ return _Py_bit_length((unsigned long)x);
+}
+
size_t
_PyLong_NumBits(PyObject *vv)
{
@@ -712,7 +719,7 @@ _PyLong_NumBits(PyObject *vv)
if ((size_t)(ndigits - 1) > SIZE_MAX / (size_t)PyLong_SHIFT)
goto Overflow;
result = (size_t)(ndigits - 1) * (size_t)PyLong_SHIFT;
- msd_bits = _Py_bit_length(msd);
+ msd_bits = bit_length_digit(msd);
if (SIZE_MAX - msd_bits < result)
goto Overflow;
result += msd_bits;
@@ -1822,7 +1829,7 @@ long_format_binary(PyObject *aa, int base, int alternate,
return -1;
}
size_a_in_bits = (size_a - 1) * PyLong_SHIFT +
- _Py_bit_length(a->ob_digit[size_a - 1]);
+ bit_length_digit(a->ob_digit[size_a - 1]);
/* Allow 1 character for a '-' sign. */
sz = negative + (size_a_in_bits + (bits - 1)) / bits;
}
@@ -2642,7 +2649,7 @@ x_divrem(PyLongObject *v1, PyLongObject *w1, PyLongObject **prem)
/* normalize: shift w1 left so that its top digit is >= PyLong_BASE/2.
shift v1 left by the same amount. Results go into w and v. */
- d = PyLong_SHIFT - _Py_bit_length(w1->ob_digit[size_w-1]);
+ d = PyLong_SHIFT - bit_length_digit(w1->ob_digit[size_w-1]);
carry = v_lshift(w->ob_digit, w1->ob_digit, size_w, d);
assert(carry == 0);
carry = v_lshift(v->ob_digit, v1->ob_digit, size_v, d);
@@ -2764,7 +2771,7 @@ _PyLong_Frexp(PyLongObject *a, Py_ssize_t *e)
*e = 0;
return 0.0;
}
- a_bits = _Py_bit_length(a->ob_digit[a_size-1]);
+ a_bits = bit_length_digit(a->ob_digit[a_size-1]);
/* The following is an overflow-free version of the check
"if ((a_size - 1) * PyLong_SHIFT + a_bits > PY_SSIZE_T_MAX) ..." */
if (a_size >= (PY_SSIZE_T_MAX - 1) / PyLong_SHIFT + 1 &&
@@ -3857,8 +3864,8 @@ long_true_divide(PyObject *v, PyObject *w)
/* Extreme underflow */
goto underflow_or_zero;
/* Next line is now safe from overflowing a Py_ssize_t */
- diff = diff * PyLong_SHIFT + _Py_bit_length(a->ob_digit[a_size - 1]) -
- _Py_bit_length(b->ob_digit[b_size - 1]);
+ diff = diff * PyLong_SHIFT + bit_length_digit(a->ob_digit[a_size - 1]) -
+ bit_length_digit(b->ob_digit[b_size - 1]);
/* Now diff = a_bits - b_bits. */
if (diff > DBL_MAX_EXP)
goto overflow;
@@ -3934,7 +3941,7 @@ long_true_divide(PyObject *v, PyObject *w)
}
x_size = Py_ABS(Py_SIZE(x));
assert(x_size > 0); /* result of division is never zero */
- x_bits = (x_size-1)*PyLong_SHIFT+_Py_bit_length(x->ob_digit[x_size-1]);
+ x_bits = (x_size-1)*PyLong_SHIFT+bit_length_digit(x->ob_digit[x_size-1]);
/* The number of extra bits that have to be rounded away. */
extra_bits = Py_MAX(x_bits, DBL_MIN_EXP - shift) - DBL_MANT_DIG;
@@ -4748,7 +4755,7 @@ _PyLong_GCD(PyObject *aarg, PyObject *barg)
alloc_b = Py_SIZE(b);
/* reduce until a fits into 2 digits */
while ((size_a = Py_SIZE(a)) > 2) {
- nbits = _Py_bit_length(a->ob_digit[size_a-1]);
+ nbits = bit_length_digit(a->ob_digit[size_a-1]);
/* extract top 2*PyLong_SHIFT bits of a into x, along with
corresponding bits of b into y */
size_b = Py_SIZE(b);
@@ -5269,7 +5276,7 @@ int_bit_length_impl(PyObject *self)
return PyLong_FromLong(0);
msd = ((PyLongObject *)self)->ob_digit[ndigits-1];
- msd_bits = _Py_bit_length(msd);
+ msd_bits = bit_length_digit(msd);
if (ndigits <= PY_SSIZE_T_MAX/PyLong_SHIFT)
return PyLong_FromSsize_t((ndigits-1)*PyLong_SHIFT + msd_bits);
diff --git a/Python/pymath.c b/Python/pymath.c
index a08a0e7..24b8042 100644
--- a/Python/pymath.c
+++ b/Python/pymath.c
@@ -79,18 +79,3 @@ round(double x)
return copysign(y, x);
}
#endif /* HAVE_ROUND */
-
-static const unsigned int BitLengthTable[32] = {
- 0, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4,
- 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5
-};
-
-unsigned int _Py_bit_length(unsigned long d) {
- unsigned int d_bits = 0;
- while (d >= 32) {
- d_bits += 6;
- d >>= 6;
- }
- d_bits += BitLengthTable[d];
- return d_bits;
-}