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- #ifndef Py_INTERNAL_LONG_H
- #define Py_INTERNAL_LONG_H
- #ifdef __cplusplus
- extern "C" {
- #endif
- #ifndef Py_BUILD_CORE
- # error "this header requires Py_BUILD_CORE define"
- #endif
- #include "pycore_global_objects.h" // _PY_NSMALLNEGINTS
- #include "pycore_runtime.h" // _PyRuntime
- /*
- * Default int base conversion size limitation: Denial of Service prevention.
- *
- * Chosen such that this isn't wildly slow on modern hardware and so that
- * everyone's existing deployed numpy test suite passes before
- * https://github.com/numpy/numpy/issues/22098 is widely available.
- *
- * $ python -m timeit -s 's = "1"*4300' 'int(s)'
- * 2000 loops, best of 5: 125 usec per loop
- * $ python -m timeit -s 's = "1"*4300; v = int(s)' 'str(v)'
- * 1000 loops, best of 5: 311 usec per loop
- * (zen2 cloud VM)
- *
- * 4300 decimal digits fits a ~14284 bit number.
- */
- #define _PY_LONG_DEFAULT_MAX_STR_DIGITS 4300
- /*
- * Threshold for max digits check. For performance reasons int() and
- * int.__str__() don't checks values that are smaller than this
- * threshold. Acts as a guaranteed minimum size limit for bignums that
- * applications can expect from CPython.
- *
- * % python -m timeit -s 's = "1"*640; v = int(s)' 'str(int(s))'
- * 20000 loops, best of 5: 12 usec per loop
- *
- * "640 digits should be enough for anyone." - gps
- * fits a ~2126 bit decimal number.
- */
- #define _PY_LONG_MAX_STR_DIGITS_THRESHOLD 640
- #if ((_PY_LONG_DEFAULT_MAX_STR_DIGITS != 0) && \
- (_PY_LONG_DEFAULT_MAX_STR_DIGITS < _PY_LONG_MAX_STR_DIGITS_THRESHOLD))
- # error "_PY_LONG_DEFAULT_MAX_STR_DIGITS smaller than threshold."
- #endif
- /* runtime lifecycle */
- extern PyStatus _PyLong_InitTypes(PyInterpreterState *);
- extern void _PyLong_FiniTypes(PyInterpreterState *interp);
- /* other API */
- #define _PyLong_SMALL_INTS _Py_SINGLETON(small_ints)
- // _PyLong_GetZero() and _PyLong_GetOne() must always be available
- // _PyLong_FromUnsignedChar must always be available
- #if _PY_NSMALLPOSINTS < 257
- # error "_PY_NSMALLPOSINTS must be greater than or equal to 257"
- #endif
- // Return a borrowed reference to the zero singleton.
- // The function cannot return NULL.
- static inline PyObject* _PyLong_GetZero(void)
- { return (PyObject *)&_PyLong_SMALL_INTS[_PY_NSMALLNEGINTS]; }
- // Return a borrowed reference to the one singleton.
- // The function cannot return NULL.
- static inline PyObject* _PyLong_GetOne(void)
- { return (PyObject *)&_PyLong_SMALL_INTS[_PY_NSMALLNEGINTS+1]; }
- static inline PyObject* _PyLong_FromUnsignedChar(unsigned char i)
- {
- return Py_NewRef((PyObject *)&_PyLong_SMALL_INTS[_PY_NSMALLNEGINTS+i]);
- }
- PyObject *_PyLong_Add(PyLongObject *left, PyLongObject *right);
- PyObject *_PyLong_Multiply(PyLongObject *left, PyLongObject *right);
- PyObject *_PyLong_Subtract(PyLongObject *left, PyLongObject *right);
- /* Used by Python/mystrtoul.c, _PyBytes_FromHex(),
- _PyBytes_DecodeEscape(), etc. */
- PyAPI_DATA(unsigned char) _PyLong_DigitValue[256];
- /* Format the object based on the format_spec, as defined in PEP 3101
- (Advanced String Formatting). */
- PyAPI_FUNC(int) _PyLong_FormatAdvancedWriter(
- _PyUnicodeWriter *writer,
- PyObject *obj,
- PyObject *format_spec,
- Py_ssize_t start,
- Py_ssize_t end);
- PyAPI_FUNC(int) _PyLong_FormatWriter(
- _PyUnicodeWriter *writer,
- PyObject *obj,
- int base,
- int alternate);
- PyAPI_FUNC(char*) _PyLong_FormatBytesWriter(
- _PyBytesWriter *writer,
- char *str,
- PyObject *obj,
- int base,
- int alternate);
- /* Long value tag bits:
- * 0-1: Sign bits value = (1-sign), ie. negative=2, positive=0, zero=1.
- * 2: Reserved for immortality bit
- * 3+ Unsigned digit count
- */
- #define SIGN_MASK 3
- #define SIGN_ZERO 1
- #define SIGN_NEGATIVE 2
- #define NON_SIZE_BITS 3
- /* The functions _PyLong_IsCompact and _PyLong_CompactValue are defined
- * in Include/cpython/longobject.h, since they need to be inline.
- *
- * "Compact" values have at least one bit to spare,
- * so that addition and subtraction can be performed on the values
- * without risk of overflow.
- *
- * The inline functions need tag bits.
- * For readability, rather than do `#define SIGN_MASK _PyLong_SIGN_MASK`
- * we define them to the numbers in both places and then assert that
- * they're the same.
- */
- static_assert(SIGN_MASK == _PyLong_SIGN_MASK, "SIGN_MASK does not match _PyLong_SIGN_MASK");
- static_assert(NON_SIZE_BITS == _PyLong_NON_SIZE_BITS, "NON_SIZE_BITS does not match _PyLong_NON_SIZE_BITS");
- /* All *compact" values are guaranteed to fit into
- * a Py_ssize_t with at least one bit to spare.
- * In other words, for 64 bit machines, compact
- * will be signed 63 (or fewer) bit values
- */
- /* Return 1 if the argument is compact int */
- static inline int
- _PyLong_IsNonNegativeCompact(const PyLongObject* op) {
- assert(PyLong_Check(op));
- return op->long_value.lv_tag <= (1 << NON_SIZE_BITS);
- }
- static inline int
- _PyLong_BothAreCompact(const PyLongObject* a, const PyLongObject* b) {
- assert(PyLong_Check(a));
- assert(PyLong_Check(b));
- return (a->long_value.lv_tag | b->long_value.lv_tag) < (2 << NON_SIZE_BITS);
- }
- static inline bool
- _PyLong_IsZero(const PyLongObject *op)
- {
- return (op->long_value.lv_tag & SIGN_MASK) == SIGN_ZERO;
- }
- static inline bool
- _PyLong_IsNegative(const PyLongObject *op)
- {
- return (op->long_value.lv_tag & SIGN_MASK) == SIGN_NEGATIVE;
- }
- static inline bool
- _PyLong_IsPositive(const PyLongObject *op)
- {
- return (op->long_value.lv_tag & SIGN_MASK) == 0;
- }
- static inline Py_ssize_t
- _PyLong_DigitCount(const PyLongObject *op)
- {
- assert(PyLong_Check(op));
- return op->long_value.lv_tag >> NON_SIZE_BITS;
- }
- /* Equivalent to _PyLong_DigitCount(op) * _PyLong_NonCompactSign(op) */
- static inline Py_ssize_t
- _PyLong_SignedDigitCount(const PyLongObject *op)
- {
- assert(PyLong_Check(op));
- Py_ssize_t sign = 1 - (op->long_value.lv_tag & SIGN_MASK);
- return sign * (Py_ssize_t)(op->long_value.lv_tag >> NON_SIZE_BITS);
- }
- static inline int
- _PyLong_CompactSign(const PyLongObject *op)
- {
- assert(PyLong_Check(op));
- assert(_PyLong_IsCompact(op));
- return 1 - (op->long_value.lv_tag & SIGN_MASK);
- }
- static inline int
- _PyLong_NonCompactSign(const PyLongObject *op)
- {
- assert(PyLong_Check(op));
- assert(!_PyLong_IsCompact(op));
- return 1 - (op->long_value.lv_tag & SIGN_MASK);
- }
- /* Do a and b have the same sign? */
- static inline int
- _PyLong_SameSign(const PyLongObject *a, const PyLongObject *b)
- {
- return (a->long_value.lv_tag & SIGN_MASK) == (b->long_value.lv_tag & SIGN_MASK);
- }
- #define TAG_FROM_SIGN_AND_SIZE(sign, size) ((1 - (sign)) | ((size) << NON_SIZE_BITS))
- static inline void
- _PyLong_SetSignAndDigitCount(PyLongObject *op, int sign, Py_ssize_t size)
- {
- assert(size >= 0);
- assert(-1 <= sign && sign <= 1);
- assert(sign != 0 || size == 0);
- op->long_value.lv_tag = TAG_FROM_SIGN_AND_SIZE(sign, (size_t)size);
- }
- static inline void
- _PyLong_SetDigitCount(PyLongObject *op, Py_ssize_t size)
- {
- assert(size >= 0);
- op->long_value.lv_tag = (((size_t)size) << NON_SIZE_BITS) | (op->long_value.lv_tag & SIGN_MASK);
- }
- #define NON_SIZE_MASK ~((1 << NON_SIZE_BITS) - 1)
- static inline void
- _PyLong_FlipSign(PyLongObject *op) {
- unsigned int flipped_sign = 2 - (op->long_value.lv_tag & SIGN_MASK);
- op->long_value.lv_tag &= NON_SIZE_MASK;
- op->long_value.lv_tag |= flipped_sign;
- }
- #define _PyLong_DIGIT_INIT(val) \
- { \
- .ob_base = _PyObject_HEAD_INIT(&PyLong_Type) \
- .long_value = { \
- .lv_tag = TAG_FROM_SIGN_AND_SIZE( \
- (val) == 0 ? 0 : ((val) < 0 ? -1 : 1), \
- (val) == 0 ? 0 : 1), \
- { ((val) >= 0 ? (val) : -(val)) }, \
- } \
- }
- #define _PyLong_FALSE_TAG TAG_FROM_SIGN_AND_SIZE(0, 0)
- #define _PyLong_TRUE_TAG TAG_FROM_SIGN_AND_SIZE(1, 1)
- #ifdef __cplusplus
- }
- #endif
- #endif /* !Py_INTERNAL_LONG_H */
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