1 #ifndef Py_LONGINTREPR_H
2 #define Py_LONGINTREPR_H
8 /* This is published for the benefit of "friend" marshal.c only. */
10 /* Parameters of the long integer representation. There are two different
11 sets of parameters: one set for 30-bit digits, stored in an unsigned 32-bit
12 integer type, and one set for 15-bit digits with each digit stored in an
13 unsigned short. The value of PYLONG_BITS_IN_DIGIT, defined either at
14 configure time or in pyport.h, is used to decide which digit size to use.
16 Type 'digit' should be able to hold 2*PyLong_BASE-1, and type 'twodigits'
17 should be an unsigned integer type able to hold all integers up to
18 PyLong_BASE*PyLong_BASE-1. x_sub assumes that 'digit' is an unsigned type,
19 and that overflow is handled by taking the result modulo 2**N for some N >
20 PyLong_SHIFT. The majority of the code doesn't care about the precise
21 value of PyLong_SHIFT, but there are some notable exceptions:
23 - long_pow() requires that PyLong_SHIFT be divisible by 5
25 - PyLong_{As,From}ByteArray require that PyLong_SHIFT be at least 8
27 - long_hash() requires that PyLong_SHIFT is *strictly* less than the number
28 of bits in an unsigned long, as do the PyLong <-> long (or unsigned long)
31 - the long <-> size_t/Py_ssize_t conversion functions expect that
32 PyLong_SHIFT is strictly less than the number of bits in a size_t
34 - the marshal code currently expects that PyLong_SHIFT is a multiple of 15
36 The values 15 and 30 should fit all of the above requirements, on any
40 #if PYLONG_BITS_IN_DIGIT == 30
41 #if !(defined HAVE_UINT64_T && defined HAVE_UINT32_T && \
42 defined HAVE_INT64_T && defined HAVE_INT32_T)
43 #error "30-bit long digits requested, but the necessary types are not available on this platform"
45 typedef PY_UINT32_T digit
;
46 typedef PY_INT32_T sdigit
; /* signed variant of digit */
47 typedef PY_UINT64_T twodigits
;
48 typedef PY_INT64_T stwodigits
; /* signed variant of twodigits */
49 #define PyLong_SHIFT 30
50 #define _PyLong_DECIMAL_SHIFT 9 /* max(e such that 10**e fits in a digit) */
51 #define _PyLong_DECIMAL_BASE ((digit)1000000000) /* 10 ** DECIMAL_SHIFT */
52 #elif PYLONG_BITS_IN_DIGIT == 15
53 typedef unsigned short digit
;
54 typedef short sdigit
; /* signed variant of digit */
55 typedef unsigned long twodigits
;
56 typedef long stwodigits
; /* signed variant of twodigits */
57 #define PyLong_SHIFT 15
58 #define _PyLong_DECIMAL_SHIFT 4 /* max(e such that 10**e fits in a digit) */
59 #define _PyLong_DECIMAL_BASE ((digit)10000) /* 10 ** DECIMAL_SHIFT */
61 #error "PYLONG_BITS_IN_DIGIT should be 15 or 30"
63 #define PyLong_BASE ((digit)1 << PyLong_SHIFT)
64 #define PyLong_MASK ((digit)(PyLong_BASE - 1))
66 /* b/w compatibility with Python 2.5 */
67 #define SHIFT PyLong_SHIFT
68 #define BASE PyLong_BASE
69 #define MASK PyLong_MASK
71 #if PyLong_SHIFT % 5 != 0
72 #error "longobject.c requires that PyLong_SHIFT be divisible by 5"
75 /* Long integer representation.
76 The absolute value of a number is equal to
77 SUM(for i=0 through abs(ob_size)-1) ob_digit[i] * 2**(SHIFT*i)
78 Negative numbers are represented with ob_size < 0;
79 zero is represented by ob_size == 0.
80 In a normalized number, ob_digit[abs(ob_size)-1] (the most significant
81 digit) is never zero. Also, in all cases, for all valid i,
82 0 <= ob_digit[i] <= MASK.
83 The allocation function takes care of allocating extra memory
84 so that ob_digit[0] ... ob_digit[abs(ob_size)-1] are actually available.
86 CAUTION: Generic code manipulating subtypes of PyVarObject has to
87 aware that longs abuse ob_size's sign bit.
95 PyAPI_FUNC(PyLongObject
*) _PyLong_New(Py_ssize_t
);
97 /* Return a copy of src. */
98 PyAPI_FUNC(PyObject
*) _PyLong_Copy(PyLongObject
*src
);
103 #endif /* !Py_LONGINTREPR_H */