Objets *Integer*
****************

All integers are implemented as "long" integer objects of arbitrary
size.

On error, most "PyLong_As*" APIs return "(return type)-1" which cannot
be distinguished from a number.  Use "PyErr_Occurred()" to
disambiguate.

type PyLongObject
    * Part of the Limited API (as an opaque struct).*

   This subtype of "PyObject" represents a Python integer object.

PyTypeObject PyLong_Type
    * Part of the Stable ABI.*

   This instance of "PyTypeObject" represents the Python integer type.
   This is the same object as "int" in the Python layer.

int PyLong_Check(PyObject *p)

   Return true if its argument is a "PyLongObject" or a subtype of
   "PyLongObject".  This function always succeeds.

int PyLong_CheckExact(PyObject *p)

   Return true if its argument is a "PyLongObject", but not a subtype
   of "PyLongObject".  This function always succeeds.

PyObject *PyLong_FromLong(long v)
    *Valeur de retour : nouvelle référence.** Part of the Stable ABI.*

   Return a new "PyLongObject" object from *v*, or "NULL" on failure.

   The current implementation keeps an array of integer objects for
   all integers between "-5" and "256". When you create an int in that
   range you actually just get back a reference to the existing
   object.

PyObject *PyLong_FromUnsignedLong(unsigned long v)
    *Valeur de retour : nouvelle référence.** Part of the Stable ABI.*

   Return a new "PyLongObject" object from a C unsigned long, or
   "NULL" on failure.

PyObject *PyLong_FromSsize_t(Py_ssize_t v)
    *Valeur de retour : nouvelle référence.** Part of the Stable ABI.*

   Return a new "PyLongObject" object from a C "Py_ssize_t", or "NULL"
   on failure.

PyObject *PyLong_FromSize_t(size_t v)
    *Valeur de retour : nouvelle référence.** Part of the Stable ABI.*

   Return a new "PyLongObject" object from a C "size_t", or "NULL" on
   failure.

PyObject *PyLong_FromLongLong(long long v)
    *Valeur de retour : nouvelle référence.** Part of the Stable ABI.*

   Return a new "PyLongObject" object from a C long long, or "NULL" on
   failure.

PyObject *PyLong_FromUnsignedLongLong(unsigned long long v)
    *Valeur de retour : nouvelle référence.** Part of the Stable ABI.*

   Return a new "PyLongObject" object from a C unsigned long long, or
   "NULL" on failure.

PyObject *PyLong_FromDouble(double v)
    *Valeur de retour : nouvelle référence.** Part of the Stable ABI.*

   Return a new "PyLongObject" object from the integer part of *v*, or
   "NULL" on failure.

PyObject *PyLong_FromString(const char *str, char **pend, int base)
    *Valeur de retour : nouvelle référence.** Part of the Stable ABI.*

   Return a new "PyLongObject" based on the string value in *str*,
   which is interpreted according to the radix in *base*, or "NULL" on
   failure.  If *pend* is non-"NULL", **pend* will point to the end of
   *str* on success or to the first character that could not be
   processed on error.  If *base* is "0", *str* is interpreted using
   the Entiers littéraux definition; in this case, leading zeros in a
   non-zero decimal number raises a "ValueError".  If *base* is not
   "0", it must be between "2" and "36", inclusive.  Leading and
   trailing whitespace and single underscores after a base specifier
   and between digits are ignored.  If there are no digits or *str* is
   not NULL-terminated following the digits and trailing whitespace,
   "ValueError" will be raised.

   Voir aussi:

     Python methods "int.to_bytes()" and "int.from_bytes()" to convert
     a "PyLongObject" to/from an array of bytes in base "256". You can
     call those from C using "PyObject_CallMethod()".

PyObject *PyLong_FromUnicodeObject(PyObject *u, int base)
    *Valeur de retour : nouvelle référence.*

   Convert a sequence of Unicode digits in the string *u* to a Python
   integer value.

   Ajouté dans la version 3.3.

PyObject *PyLong_FromVoidPtr(void *p)
    *Valeur de retour : nouvelle référence.** Part of the Stable ABI.*

   Create a Python integer from the pointer *p*. The pointer value can
   be retrieved from the resulting value using "PyLong_AsVoidPtr()".

long PyLong_AsLong(PyObject *obj)
    * Part of the Stable ABI.*

   Return a C long representation of *obj*.  If *obj* is not an
   instance of "PyLongObject", first call its "__index__()" method (if
   present) to convert it to a "PyLongObject".

   Raise "OverflowError" if the value of *obj* is out of range for a
   long.

   Returns "-1" on error.  Use "PyErr_Occurred()" to disambiguate.

   Modifié dans la version 3.8: Use "__index__()" if available.

   Modifié dans la version 3.10: This function will no longer use
   "__int__()".

long PyLong_AsLongAndOverflow(PyObject *obj, int *overflow)
    * Part of the Stable ABI.*

   Return a C long representation of *obj*.  If *obj* is not an
   instance of "PyLongObject", first call its "__index__()" method (if
   present) to convert it to a "PyLongObject".

   If the value of *obj* is greater than "LONG_MAX" or less than
   "LONG_MIN", set **overflow* to "1" or "-1", respectively, and
   return "-1"; otherwise, set **overflow* to "0".  If any other
   exception occurs set **overflow* to "0" and return "-1" as usual.

   Returns "-1" on error.  Use "PyErr_Occurred()" to disambiguate.

   Modifié dans la version 3.8: Use "__index__()" if available.

   Modifié dans la version 3.10: This function will no longer use
   "__int__()".

long long PyLong_AsLongLong(PyObject *obj)
    * Part of the Stable ABI.*

   Return a C long long representation of *obj*.  If *obj* is not an
   instance of "PyLongObject", first call its "__index__()" method (if
   present) to convert it to a "PyLongObject".

   Raise "OverflowError" if the value of *obj* is out of range for a
   long long.

   Returns "-1" on error.  Use "PyErr_Occurred()" to disambiguate.

   Modifié dans la version 3.8: Use "__index__()" if available.

   Modifié dans la version 3.10: This function will no longer use
   "__int__()".

long long PyLong_AsLongLongAndOverflow(PyObject *obj, int *overflow)
    * Part of the Stable ABI.*

   Return a C long long representation of *obj*.  If *obj* is not an
   instance of "PyLongObject", first call its "__index__()" method (if
   present) to convert it to a "PyLongObject".

   If the value of *obj* is greater than "LLONG_MAX" or less than
   "LLONG_MIN", set **overflow* to "1" or "-1", respectively, and
   return "-1"; otherwise, set **overflow* to "0".  If any other
   exception occurs set **overflow* to "0" and return "-1" as usual.

   Returns "-1" on error.  Use "PyErr_Occurred()" to disambiguate.

   Ajouté dans la version 3.2.

   Modifié dans la version 3.8: Use "__index__()" if available.

   Modifié dans la version 3.10: This function will no longer use
   "__int__()".

Py_ssize_t PyLong_AsSsize_t(PyObject *pylong)
    * Part of the Stable ABI.*

   Return a C "Py_ssize_t" representation of *pylong*.  *pylong* must
   be an instance of "PyLongObject".

   Raise "OverflowError" if the value of *pylong* is out of range for
   a "Py_ssize_t".

   Returns "-1" on error.  Use "PyErr_Occurred()" to disambiguate.

unsigned long PyLong_AsUnsignedLong(PyObject *pylong)
    * Part of the Stable ABI.*

   Return a C unsigned long representation of *pylong*.  *pylong* must
   be an instance of "PyLongObject".

   Raise "OverflowError" if the value of *pylong* is out of range for
   a unsigned long.

   Returns "(unsigned long)-1" on error. Use "PyErr_Occurred()" to
   disambiguate.

size_t PyLong_AsSize_t(PyObject *pylong)
    * Part of the Stable ABI.*

   Return a C "size_t" representation of *pylong*.  *pylong* must be
   an instance of "PyLongObject".

   Raise "OverflowError" if the value of *pylong* is out of range for
   a "size_t".

   Returns "(size_t)-1" on error. Use "PyErr_Occurred()" to
   disambiguate.

unsigned long long PyLong_AsUnsignedLongLong(PyObject *pylong)
    * Part of the Stable ABI.*

   Return a C unsigned long long representation of *pylong*.  *pylong*
   must be an instance of "PyLongObject".

   Raise "OverflowError" if the value of *pylong* is out of range for
   an unsigned long long.

   Returns "(unsigned long long)-1" on error. Use "PyErr_Occurred()"
   to disambiguate.

   Modifié dans la version 3.1: A negative *pylong* now raises
   "OverflowError", not "TypeError".

unsigned long PyLong_AsUnsignedLongMask(PyObject *obj)
    * Part of the Stable ABI.*

   Return a C unsigned long representation of *obj*.  If *obj* is not
   an instance of "PyLongObject", first call its "__index__()" method
   (if present) to convert it to a "PyLongObject".

   If the value of *obj* is out of range for an unsigned long, return
   the reduction of that value modulo "ULONG_MAX + 1".

   Returns "(unsigned long)-1" on error.  Use "PyErr_Occurred()" to
   disambiguate.

   Modifié dans la version 3.8: Use "__index__()" if available.

   Modifié dans la version 3.10: This function will no longer use
   "__int__()".

unsigned long long PyLong_AsUnsignedLongLongMask(PyObject *obj)
    * Part of the Stable ABI.*

   Return a C unsigned long long representation of *obj*.  If *obj* is
   not an instance of "PyLongObject", first call its "__index__()"
   method (if present) to convert it to a "PyLongObject".

   If the value of *obj* is out of range for an unsigned long long,
   return the reduction of that value modulo "ULLONG_MAX + 1".

   Returns "(unsigned long long)-1" on error.  Use "PyErr_Occurred()"
   to disambiguate.

   Modifié dans la version 3.8: Use "__index__()" if available.

   Modifié dans la version 3.10: This function will no longer use
   "__int__()".

double PyLong_AsDouble(PyObject *pylong)
    * Part of the Stable ABI.*

   Return a C double representation of *pylong*.  *pylong* must be an
   instance of "PyLongObject".

   Raise "OverflowError" if the value of *pylong* is out of range for
   a double.

   Returns "-1.0" on error.  Use "PyErr_Occurred()" to disambiguate.

void *PyLong_AsVoidPtr(PyObject *pylong)
    * Part of the Stable ABI.*

   Convert a Python integer *pylong* to a C void pointer. If *pylong*
   cannot be converted, an "OverflowError" will be raised.  This is
   only assured to produce a usable void pointer for values created
   with "PyLong_FromVoidPtr()".

   Returns "NULL" on error.  Use "PyErr_Occurred()" to disambiguate.

PyObject *PyLong_GetInfo(void)
    * Part of the Stable ABI.*

   On success, return a read only *named tuple*, that holds
   information about Python's internal representation of integers. See
   "sys.int_info" for description of individual fields.

   On failure, return "NULL" with an exception set.

   Ajouté dans la version 3.1.

int PyUnstable_Long_IsCompact(const PyLongObject *op)

   *This is Unstable API. It may change without warning in minor
   releases.*

   Return 1 if *op* is compact, 0 otherwise.

   This function makes it possible for performance-critical code to
   implement a “fast path” for small integers. For compact values use
   "PyUnstable_Long_CompactValue()"; for others fall back to a
   "PyLong_As*" function or "calling" "int.to_bytes()".

   The speedup is expected to be negligible for most users.

   Exactly what values are considered compact is an implementation
   detail and is subject to change.

   Ajouté dans la version 3.12.

Py_ssize_t PyUnstable_Long_CompactValue(const PyLongObject *op)

   *This is Unstable API. It may change without warning in minor
   releases.*

   If *op* is compact, as determined by "PyUnstable_Long_IsCompact()",
   return its value.

   Otherwise, the return value is undefined.

   Ajouté dans la version 3.12.
