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Guido van Rossuma3309961993-07-28 09:05:47 +00001#ifndef Py_LONGINTREPR_H
2#define Py_LONGINTREPR_H
3#ifdef __cplusplus
4extern "C" {
5#endif
6
Guido van Rossumedcc38a1991-05-05 20:09:44 +00007
Guido van Rossum3d095431992-01-19 16:30:12 +00008/* This is published for the benefit of "friend" marshal.c only. */
9
Mark Dickinsonbd792642009-03-18 20:06:12 +000010/* 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.
Guido van Rossumedcc38a1991-05-05 20:09:44 +000015
Mark Dickinsonbd792642009-03-18 20:06:12 +000016 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:
22
23 - long_pow() requires that PyLong_SHIFT be divisible by 5
24
25 - PyLong_{As,From}ByteArray require that PyLong_SHIFT be at least 8
26
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)
29 conversion functions
30
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
33
34 - the marshal code currently expects that PyLong_SHIFT is a multiple of 15
35
36 - NSMALLNEGINTS and NSMALLPOSINTS should be small enough to fit in a single
37 digit; with the current values this forces PyLong_SHIFT >= 9
38
39 The values 15 and 30 should fit all of the above requirements, on any
40 platform.
41*/
42
Mark Dickinsonbd792642009-03-18 20:06:12 +000043#if PYLONG_BITS_IN_DIGIT == 30
44#if !(defined HAVE_UINT64_T && defined HAVE_UINT32_T && \
45 defined HAVE_INT64_T && defined HAVE_INT32_T)
46#error "30-bit long digits requested, but the necessary types are not available on this platform"
47#endif
48typedef PY_UINT32_T digit;
49typedef PY_INT32_T sdigit; /* signed variant of digit */
50typedef PY_UINT64_T twodigits;
51typedef PY_INT64_T stwodigits; /* signed variant of twodigits */
52#define PyLong_SHIFT 30
53#elif PYLONG_BITS_IN_DIGIT == 15
Guido van Rossumedcc38a1991-05-05 20:09:44 +000054typedef unsigned short digit;
Mark Dickinsonbd792642009-03-18 20:06:12 +000055typedef short sdigit; /* signed variant of digit */
56typedef unsigned long twodigits;
57typedef long stwodigits; /* signed variant of twodigits */
Martin v. Löwis9f2e3462007-07-21 17:22:18 +000058#define PyLong_SHIFT 15
Mark Dickinsonbd792642009-03-18 20:06:12 +000059#else
60#error "PYLONG_BITS_IN_DIGIT should be 15 or 30"
61#endif
Martin v. Löwis9f2e3462007-07-21 17:22:18 +000062#define PyLong_BASE ((digit)1 << PyLong_SHIFT)
Mark Dickinson5a74bf62009-02-15 11:04:38 +000063#define PyLong_MASK ((digit)(PyLong_BASE - 1))
Guido van Rossumedcc38a1991-05-05 20:09:44 +000064
Martin v. Löwis9f2e3462007-07-21 17:22:18 +000065#if PyLong_SHIFT % 5 != 0
Mark Dickinsond72c7b62009-03-20 16:00:49 +000066#error "longobject.c requires that PyLong_SHIFT be divisible by 5"
Tim Peters47e52ee2004-08-30 02:44:38 +000067#endif
68
Guido van Rossumedcc38a1991-05-05 20:09:44 +000069/* Long integer representation.
70 The absolute value of a number is equal to
71 SUM(for i=0 through abs(ob_size)-1) ob_digit[i] * 2**(SHIFT*i)
72 Negative numbers are represented with ob_size < 0;
73 zero is represented by ob_size == 0.
74 In a normalized number, ob_digit[abs(ob_size)-1] (the most significant
75 digit) is never zero. Also, in all cases, for all valid i,
76 0 <= ob_digit[i] <= MASK.
Thomas Wouters7e474022000-07-16 12:04:32 +000077 The allocation function takes care of allocating extra memory
Tim Peters03b18832002-03-02 04:33:09 +000078 so that ob_digit[0] ... ob_digit[abs(ob_size)-1] are actually available.
79
80 CAUTION: Generic code manipulating subtypes of PyVarObject has to
81 aware that longs abuse ob_size's sign bit.
82*/
Guido van Rossumedcc38a1991-05-05 20:09:44 +000083
Guido van Rossum3d095431992-01-19 16:30:12 +000084struct _longobject {
Tim Peters03b18832002-03-02 04:33:09 +000085 PyObject_VAR_HEAD
Guido van Rossumedcc38a1991-05-05 20:09:44 +000086 digit ob_digit[1];
Guido van Rossum3d095431992-01-19 16:30:12 +000087};
Guido van Rossumedcc38a1991-05-05 20:09:44 +000088
Martin v. Löwis18e16552006-02-15 17:27:45 +000089PyAPI_FUNC(PyLongObject *) _PyLong_New(Py_ssize_t);
Guido van Rossuma3309961993-07-28 09:05:47 +000090
Tim Peters64b5ce32001-09-10 20:52:51 +000091/* Return a copy of src. */
Mark Hammond91a681d2002-08-12 07:21:58 +000092PyAPI_FUNC(PyObject *) _PyLong_Copy(PyLongObject *src);
Tim Peters64b5ce32001-09-10 20:52:51 +000093
Guido van Rossuma3309961993-07-28 09:05:47 +000094#ifdef __cplusplus
95}
96#endif
97#endif /* !Py_LONGINTREPR_H */