1 #ifndef Py_INTERNAL_LONG_H
2 #define Py_INTERNAL_LONG_H
3 #ifdef __cplusplus
4 extern "C" {
5 #endif
6 
7 #ifndef Py_BUILD_CORE
8 #  error "this header requires Py_BUILD_CORE define"
9 #endif
10 
11 #include "pycore_global_objects.h"  // _PY_NSMALLNEGINTS
12 #include "pycore_runtime.h"       // _PyRuntime
13 
14 /*
15  * Default int base conversion size limitation: Denial of Service prevention.
16  *
17  * Chosen such that this isn't wildly slow on modern hardware and so that
18  * everyone's existing deployed numpy test suite passes before
19  * https://github.com/numpy/numpy/issues/22098 is widely available.
20  *
21  * $ python -m timeit -s 's = "1"*4300' 'int(s)'
22  * 2000 loops, best of 5: 125 usec per loop
23  * $ python -m timeit -s 's = "1"*4300; v = int(s)' 'str(v)'
24  * 1000 loops, best of 5: 311 usec per loop
25  * (zen2 cloud VM)
26  *
27  * 4300 decimal digits fits a ~14284 bit number.
28  */
29 #define _PY_LONG_DEFAULT_MAX_STR_DIGITS 4300
30 /*
31  * Threshold for max digits check.  For performance reasons int() and
32  * int.__str__() don't checks values that are smaller than this
33  * threshold.  Acts as a guaranteed minimum size limit for bignums that
34  * applications can expect from CPython.
35  *
36  * % python -m timeit -s 's = "1"*640; v = int(s)' 'str(int(s))'
37  * 20000 loops, best of 5: 12 usec per loop
38  *
39  * "640 digits should be enough for anyone." - gps
40  * fits a ~2126 bit decimal number.
41  */
42 #define _PY_LONG_MAX_STR_DIGITS_THRESHOLD 640
43 
44 #if ((_PY_LONG_DEFAULT_MAX_STR_DIGITS != 0) && \
45    (_PY_LONG_DEFAULT_MAX_STR_DIGITS < _PY_LONG_MAX_STR_DIGITS_THRESHOLD))
46 # error "_PY_LONG_DEFAULT_MAX_STR_DIGITS smaller than threshold."
47 #endif
48 
49 
50 /* runtime lifecycle */
51 
52 extern PyStatus _PyLong_InitTypes(PyInterpreterState *);
53 extern void _PyLong_FiniTypes(PyInterpreterState *interp);
54 
55 
56 /* other API */
57 
58 #define _PyLong_SMALL_INTS _Py_SINGLETON(small_ints)
59 
60 // _PyLong_GetZero() and _PyLong_GetOne() must always be available
61 // _PyLong_FromUnsignedChar must always be available
62 #if _PY_NSMALLPOSINTS < 257
63 #  error "_PY_NSMALLPOSINTS must be greater than or equal to 257"
64 #endif
65 
66 // Return a borrowed reference to the zero singleton.
67 // The function cannot return NULL.
_PyLong_GetZero(void)68 static inline PyObject* _PyLong_GetZero(void)
69 { return (PyObject *)&_PyLong_SMALL_INTS[_PY_NSMALLNEGINTS]; }
70 
71 // Return a borrowed reference to the one singleton.
72 // The function cannot return NULL.
_PyLong_GetOne(void)73 static inline PyObject* _PyLong_GetOne(void)
74 { return (PyObject *)&_PyLong_SMALL_INTS[_PY_NSMALLNEGINTS+1]; }
75 
_PyLong_FromUnsignedChar(unsigned char i)76 static inline PyObject* _PyLong_FromUnsignedChar(unsigned char i)
77 {
78     return Py_NewRef((PyObject *)&_PyLong_SMALL_INTS[_PY_NSMALLNEGINTS+i]);
79 }
80 
81 PyObject *_PyLong_Add(PyLongObject *left, PyLongObject *right);
82 PyObject *_PyLong_Multiply(PyLongObject *left, PyLongObject *right);
83 PyObject *_PyLong_Subtract(PyLongObject *left, PyLongObject *right);
84 
85 /* Used by Python/mystrtoul.c, _PyBytes_FromHex(),
86    _PyBytes_DecodeEscape(), etc. */
87 PyAPI_DATA(unsigned char) _PyLong_DigitValue[256];
88 
89 /* Format the object based on the format_spec, as defined in PEP 3101
90    (Advanced String Formatting). */
91 PyAPI_FUNC(int) _PyLong_FormatAdvancedWriter(
92     _PyUnicodeWriter *writer,
93     PyObject *obj,
94     PyObject *format_spec,
95     Py_ssize_t start,
96     Py_ssize_t end);
97 
98 PyAPI_FUNC(int) _PyLong_FormatWriter(
99     _PyUnicodeWriter *writer,
100     PyObject *obj,
101     int base,
102     int alternate);
103 
104 PyAPI_FUNC(char*) _PyLong_FormatBytesWriter(
105     _PyBytesWriter *writer,
106     char *str,
107     PyObject *obj,
108     int base,
109     int alternate);
110 
111 #ifdef __cplusplus
112 }
113 #endif
114 #endif /* !Py_INTERNAL_LONG_H */
115