|  | #ifndef Py_LONGINTREPR_H | 
|  | #define Py_LONGINTREPR_H | 
|  | #ifdef __cplusplus | 
|  | extern "C" { | 
|  | #endif | 
|  |  | 
|  |  | 
|  | /* This is published for the benefit of "friend" marshal.c only. */ | 
|  |  | 
|  | /* Parameters of the long integer representation.  There are two different | 
|  | sets of parameters: one set for 30-bit digits, stored in an unsigned 32-bit | 
|  | integer type, and one set for 15-bit digits with each digit stored in an | 
|  | unsigned short.  The value of PYLONG_BITS_IN_DIGIT, defined either at | 
|  | configure time or in pyport.h, is used to decide which digit size to use. | 
|  |  | 
|  | Type 'digit' should be able to hold 2*PyLong_BASE-1, and type 'twodigits' | 
|  | should be an unsigned integer type able to hold all integers up to | 
|  | PyLong_BASE*PyLong_BASE-1.  x_sub assumes that 'digit' is an unsigned type, | 
|  | and that overflow is handled by taking the result modulo 2**N for some N > | 
|  | PyLong_SHIFT.  The majority of the code doesn't care about the precise | 
|  | value of PyLong_SHIFT, but there are some notable exceptions: | 
|  |  | 
|  | - long_pow() requires that PyLong_SHIFT be divisible by 5 | 
|  |  | 
|  | - PyLong_{As,From}ByteArray require that PyLong_SHIFT be at least 8 | 
|  |  | 
|  | - long_hash() requires that PyLong_SHIFT is *strictly* less than the number | 
|  | of bits in an unsigned long, as do the PyLong <-> long (or unsigned long) | 
|  | conversion functions | 
|  |  | 
|  | - the long <-> size_t/Py_ssize_t conversion functions expect that | 
|  | PyLong_SHIFT is strictly less than the number of bits in a size_t | 
|  |  | 
|  | - the marshal code currently expects that PyLong_SHIFT is a multiple of 15 | 
|  |  | 
|  | The values 15 and 30 should fit all of the above requirements, on any | 
|  | platform. | 
|  | */ | 
|  |  | 
|  | #if PYLONG_BITS_IN_DIGIT == 30 | 
|  | #if !(defined HAVE_UINT64_T && defined HAVE_UINT32_T &&          \ | 
|  | defined HAVE_INT64_T && defined HAVE_INT32_T) | 
|  | #error "30-bit long digits requested, but the necessary types are not available on this platform" | 
|  | #endif | 
|  | typedef PY_UINT32_T digit; | 
|  | typedef PY_INT32_T sdigit; /* signed variant of digit */ | 
|  | typedef PY_UINT64_T twodigits; | 
|  | typedef PY_INT64_T stwodigits; /* signed variant of twodigits */ | 
|  | #define PyLong_SHIFT	30 | 
|  | #define _PyLong_DECIMAL_SHIFT	9 /* max(e such that 10**e fits in a digit) */ | 
|  | #define _PyLong_DECIMAL_BASE	((digit)1000000000) /* 10 ** DECIMAL_SHIFT */ | 
|  | #elif PYLONG_BITS_IN_DIGIT == 15 | 
|  | typedef unsigned short digit; | 
|  | typedef short sdigit; /* signed variant of digit */ | 
|  | typedef unsigned long twodigits; | 
|  | typedef long stwodigits; /* signed variant of twodigits */ | 
|  | #define PyLong_SHIFT	15 | 
|  | #define _PyLong_DECIMAL_SHIFT	4 /* max(e such that 10**e fits in a digit) */ | 
|  | #define _PyLong_DECIMAL_BASE	((digit)10000) /* 10 ** DECIMAL_SHIFT */ | 
|  | #else | 
|  | #error "PYLONG_BITS_IN_DIGIT should be 15 or 30" | 
|  | #endif | 
|  | #define PyLong_BASE	((digit)1 << PyLong_SHIFT) | 
|  | #define PyLong_MASK	((digit)(PyLong_BASE - 1)) | 
|  |  | 
|  | /* b/w compatibility with Python 2.5 */ | 
|  | #define SHIFT	PyLong_SHIFT | 
|  | #define BASE	PyLong_BASE | 
|  | #define MASK	PyLong_MASK | 
|  |  | 
|  | #if PyLong_SHIFT % 5 != 0 | 
|  | #error "longobject.c requires that PyLong_SHIFT be divisible by 5" | 
|  | #endif | 
|  |  | 
|  | /* Long integer representation. | 
|  | The absolute value of a number is equal to | 
|  | SUM(for i=0 through abs(ob_size)-1) ob_digit[i] * 2**(SHIFT*i) | 
|  | Negative numbers are represented with ob_size < 0; | 
|  | zero is represented by ob_size == 0. | 
|  | In a normalized number, ob_digit[abs(ob_size)-1] (the most significant | 
|  | digit) is never zero.  Also, in all cases, for all valid i, | 
|  | 0 <= ob_digit[i] <= MASK. | 
|  | The allocation function takes care of allocating extra memory | 
|  | so that ob_digit[0] ... ob_digit[abs(ob_size)-1] are actually available. | 
|  |  | 
|  | CAUTION:  Generic code manipulating subtypes of PyVarObject has to | 
|  | aware that longs abuse  ob_size's sign bit. | 
|  | */ | 
|  |  | 
|  | struct _longobject { | 
|  | PyObject_VAR_HEAD | 
|  | digit ob_digit[1]; | 
|  | }; | 
|  |  | 
|  | PyAPI_FUNC(PyLongObject *) _PyLong_New(Py_ssize_t); | 
|  |  | 
|  | /* Return a copy of src. */ | 
|  | PyAPI_FUNC(PyObject *) _PyLong_Copy(PyLongObject *src); | 
|  |  | 
|  | #ifdef __cplusplus | 
|  | } | 
|  | #endif | 
|  | #endif /* !Py_LONGINTREPR_H */ |