| 1 | #ifndef Py_LONGINTREPR_H
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| 2 | #define Py_LONGINTREPR_H
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| 3 | #ifdef __cplusplus
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| 4 | extern "C" {
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| 5 | #endif
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| 6 |
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| 7 |
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| 8 | /* This is published for the benefit of "friend" marshal.c only. */
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| 9 |
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| 10 | /* Parameters of the long integer representation. There are two different
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| 11 | sets of parameters: one set for 30-bit digits, stored in an unsigned 32-bit
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| 12 | integer type, and one set for 15-bit digits with each digit stored in an
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| 13 | unsigned short. The value of PYLONG_BITS_IN_DIGIT, defined either at
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| 14 | configure time or in pyport.h, is used to decide which digit size to use.
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| 15 |
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| 16 | Type 'digit' should be able to hold 2*PyLong_BASE-1, and type 'twodigits'
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| 17 | should be an unsigned integer type able to hold all integers up to
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| 18 | PyLong_BASE*PyLong_BASE-1. x_sub assumes that 'digit' is an unsigned type,
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| 19 | and that overflow is handled by taking the result modulo 2**N for some N >
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| 20 | PyLong_SHIFT. The majority of the code doesn't care about the precise
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| 21 | value of PyLong_SHIFT, but there are some notable exceptions:
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| 22 |
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| 23 | - long_pow() requires that PyLong_SHIFT be divisible by 5
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| 24 |
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| 25 | - PyLong_{As,From}ByteArray require that PyLong_SHIFT be at least 8
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| 26 |
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| 27 | - long_hash() requires that PyLong_SHIFT is *strictly* less than the number
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| 28 | of bits in an unsigned long, as do the PyLong <-> long (or unsigned long)
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| 29 | conversion functions
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| 30 |
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| 31 | - the long <-> size_t/Py_ssize_t conversion functions expect that
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| 32 | PyLong_SHIFT is strictly less than the number of bits in a size_t
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| 33 |
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| 34 | - the marshal code currently expects that PyLong_SHIFT is a multiple of 15
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| 35 |
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| 36 | The values 15 and 30 should fit all of the above requirements, on any
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| 37 | platform.
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| 38 | */
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| 39 |
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| 40 | #if PYLONG_BITS_IN_DIGIT == 30
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| 41 | #if !(defined HAVE_UINT64_T && defined HAVE_UINT32_T && \
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| 42 | defined HAVE_INT64_T && defined HAVE_INT32_T)
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| 43 | #error "30-bit long digits requested, but the necessary types are not available on this platform"
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| 44 | #endif
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| 45 | typedef PY_UINT32_T digit;
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| 46 | typedef PY_INT32_T sdigit; /* signed variant of digit */
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| 47 | typedef PY_UINT64_T twodigits;
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| 48 | typedef PY_INT64_T stwodigits; /* signed variant of twodigits */
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| 49 | #define PyLong_SHIFT 30
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| 50 | #define _PyLong_DECIMAL_SHIFT 9 /* max(e such that 10**e fits in a digit) */
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| 51 | #define _PyLong_DECIMAL_BASE ((digit)1000000000) /* 10 ** DECIMAL_SHIFT */
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| 52 | #elif PYLONG_BITS_IN_DIGIT == 15
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| 53 | typedef unsigned short digit;
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| 54 | typedef short sdigit; /* signed variant of digit */
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| 55 | typedef unsigned long twodigits;
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| 56 | typedef long stwodigits; /* signed variant of twodigits */
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| 57 | #define PyLong_SHIFT 15
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| 58 | #define _PyLong_DECIMAL_SHIFT 4 /* max(e such that 10**e fits in a digit) */
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| 59 | #define _PyLong_DECIMAL_BASE ((digit)10000) /* 10 ** DECIMAL_SHIFT */
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| 60 | #else
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| 61 | #error "PYLONG_BITS_IN_DIGIT should be 15 or 30"
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| 62 | #endif
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| 63 | #define PyLong_BASE ((digit)1 << PyLong_SHIFT)
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| 64 | #define PyLong_MASK ((digit)(PyLong_BASE - 1))
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| 65 |
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| 66 | /* b/w compatibility with Python 2.5 */
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| 67 | #define SHIFT PyLong_SHIFT
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| 68 | #define BASE PyLong_BASE
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| 69 | #define MASK PyLong_MASK
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| 70 |
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| 71 | #if PyLong_SHIFT % 5 != 0
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| 72 | #error "longobject.c requires that PyLong_SHIFT be divisible by 5"
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| 73 | #endif
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| 74 |
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| 75 | /* Long integer representation.
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| 76 | The absolute value of a number is equal to
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| 77 | SUM(for i=0 through abs(ob_size)-1) ob_digit[i] * 2**(SHIFT*i)
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| 78 | Negative numbers are represented with ob_size < 0;
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| 79 | zero is represented by ob_size == 0.
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| 80 | In a normalized number, ob_digit[abs(ob_size)-1] (the most significant
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| 81 | digit) is never zero. Also, in all cases, for all valid i,
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| 82 | 0 <= ob_digit[i] <= MASK.
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| 83 | The allocation function takes care of allocating extra memory
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| 84 | so that ob_digit[0] ... ob_digit[abs(ob_size)-1] are actually available.
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| 85 |
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| 86 | CAUTION: Generic code manipulating subtypes of PyVarObject has to
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| 87 | aware that longs abuse ob_size's sign bit.
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| 88 | */
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| 89 |
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| 90 | struct _longobject {
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| 91 | PyObject_VAR_HEAD
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| 92 | digit ob_digit[1];
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| 93 | };
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| 94 |
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| 95 | PyAPI_FUNC(PyLongObject *) _PyLong_New(Py_ssize_t);
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| 96 |
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| 97 | /* Return a copy of src. */
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| 98 | PyAPI_FUNC(PyObject *) _PyLong_Copy(PyLongObject *src);
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| 99 |
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| 100 | #ifdef __cplusplus
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| 101 | }
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| 102 | #endif
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| 103 | #endif /* !Py_LONGINTREPR_H */
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