Integer Objects¶
All integers are implemented as “long” integer objects of arbitrary size.
On error, mostPyLong_As* APIs return(returntype)-1 which cannot bedistinguished from a number. UsePyErr_Occurred() to disambiguate.
- typePyLongObject¶
- Part of theLimited API (as an opaque struct).
This subtype of
PyObjectrepresents a Python integer object.
- PyTypeObjectPyLong_Type¶
- Part of theStable ABI.
This instance of
PyTypeObjectrepresents the Python integer type.This is the same object asintin the Python layer.
- intPyLong_Check(PyObject*p)¶
Return true if its argument is a
PyLongObjector a subtype ofPyLongObject. This function always succeeds.
- intPyLong_CheckExact(PyObject*p)¶
Return true if its argument is a
PyLongObject, but not a subtype ofPyLongObject. This function always succeeds.
- PyObject*PyLong_FromLong(longv)¶
- Return value: New reference. Part of theStable ABI.
Return a new
PyLongObjectobject fromv, orNULLon failure.CPython implementation detail: CPython keeps an array of integer objects for all integersbetween
-5and256. When you create an int in that rangeyou actually just get back a reference to the existing object.
- PyObject*PyLong_FromUnsignedLong(unsignedlongv)¶
- Return value: New reference. Part of theStable ABI.
Return a new
PyLongObjectobject from a Cunsignedlong, orNULLon failure.
- PyObject*PyLong_FromSsize_t(Py_ssize_tv)¶
- Return value: New reference. Part of theStable ABI.
Return a new
PyLongObjectobject from a CPy_ssize_t, orNULLon failure.
- PyObject*PyLong_FromSize_t(size_tv)¶
- Return value: New reference. Part of theStable ABI.
Return a new
PyLongObjectobject from a Csize_t, orNULLon failure.
- PyObject*PyLong_FromLongLong(longlongv)¶
- Return value: New reference. Part of theStable ABI.
Return a new
PyLongObjectobject from a Clonglong, orNULLon failure.
- PyObject*PyLong_FromInt32(int32_tvalue)¶
- PyObject*PyLong_FromInt64(int64_tvalue)¶
- Part of theStable ABI since version 3.14.
Return a new
PyLongObjectobject from a signed Cint32_t orint64_t, orNULLwith an exception set on failure.Added in version 3.14.
- PyObject*PyLong_FromUnsignedLongLong(unsignedlonglongv)¶
- Return value: New reference. Part of theStable ABI.
Return a new
PyLongObjectobject from a Cunsignedlonglong,orNULLon failure.
- PyObject*PyLong_FromUInt32(uint32_tvalue)¶
- PyObject*PyLong_FromUInt64(uint64_tvalue)¶
- Part of theStable ABI since version 3.14.
Return a new
PyLongObjectobject from an unsigned Cuint32_t oruint64_t, orNULLwith an exception set on failure.Added in version 3.14.
- PyObject*PyLong_FromDouble(doublev)¶
- Return value: New reference. Part of theStable ABI.
Return a new
PyLongObjectobject from the integer part ofv, orNULLon failure.
- PyObject*PyLong_FromString(constchar*str,char**pend,intbase)¶
- Return value: New reference. Part of theStable ABI.
Return a new
PyLongObjectbased on the string value instr, whichis interpreted according to the radix inbase, orNULLon failure. Ifpend is non-NULL,*pend will point to the end ofstr on success orto the first character that could not be processed on error. Ifbase is0,str is interpreted using theInteger literals definition; in this case, leadingzeros in a non-zero decimal number raises aValueError. Ifbase is not0, it must be between2and36, inclusive. Leading and trailingwhitespace and single underscores after a base specifier and between digits areignored. If there are no digits orstr is not NULL-terminated following thedigits and trailing whitespace,ValueErrorwill be raised.See also
PyLong_AsNativeBytes()andPyLong_FromNativeBytes()functions can be used to convertaPyLongObjectto/from an array of bytes in base256.
- PyObject*PyLong_FromUnicodeObject(PyObject*u,intbase)¶
- Return value: New reference.
Convert a sequence of Unicode digits in the stringu to a Python integervalue.
Added in version 3.3.
- PyObject*PyLong_FromVoidPtr(void*p)¶
- Return value: New reference. Part of theStable ABI.
Create a Python integer from the pointerp. The pointer value can beretrieved from the resulting value using
PyLong_AsVoidPtr().
- PyObject*PyLong_FromNativeBytes(constvoid*buffer,size_tn_bytes,intflags)¶
- Part of theStable ABI since version 3.14.
Create a Python integer from the value contained in the firstn_bytes ofbuffer, interpreted as a two’s-complement signed number.
flags are as for
PyLong_AsNativeBytes(). Passing-1will selectthe native endian that CPython was compiled with and assume that themost-significant bit is a sign bit. PassingPy_ASNATIVEBYTES_UNSIGNED_BUFFERwill produce the same result as callingPyLong_FromUnsignedNativeBytes(). Other flags are ignored.Added in version 3.13.
- PyObject*PyLong_FromUnsignedNativeBytes(constvoid*buffer,size_tn_bytes,intflags)¶
- Part of theStable ABI since version 3.14.
Create a Python integer from the value contained in the firstn_bytes ofbuffer, interpreted as an unsigned number.
flags are as for
PyLong_AsNativeBytes(). Passing-1will selectthe native endian that CPython was compiled with and assume that themost-significant bit is not a sign bit. Flags other than endian are ignored.Added in version 3.13.
- PyLong_FromPid(pid)¶
Macro for creating a Python integer from a process identifier.
This can be defined as an alias to
PyLong_FromLong()orPyLong_FromLongLong(), depending on the size of the system’sPID type.Added in version 3.2.
- longPyLong_AsLong(PyObject*obj)¶
- Part of theStable ABI.
Return a Clong representation ofobj. Ifobj is not aninstance of
PyLongObject, first call its__index__()method(if present) to convert it to aPyLongObject.Raise
OverflowErrorif the value ofobj is out of range for along.Returns
-1on error. UsePyErr_Occurred()to disambiguate.Changed in version 3.8:Use
__index__()if available.Changed in version 3.10:This function will no longer use
__int__().- longPyLong_AS_LONG(PyObject*obj)¶
Asoft deprecated alias.Exactly equivalent to the preferred
PyLong_AsLong. In particular,it can fail withOverflowErroror another exception.Deprecated since version 3.14:The function is soft deprecated.
- longPyLong_AS_LONG(PyObject*obj)¶
- intPyLong_AsInt(PyObject*obj)¶
- Part of theStable ABI since version 3.13.
Similar to
PyLong_AsLong(), but store the result in a Cint instead of a Clong.Added in version 3.13.
- longPyLong_AsLongAndOverflow(PyObject*obj,int*overflow)¶
- Part of theStable ABI.
Return a Clong representation ofobj. Ifobj is not aninstance of
PyLongObject, first call its__index__()method (if present) to convert it to aPyLongObject.If the value ofobj is greater than
LONG_MAXor less thanLONG_MIN, set*overflow to1or-1, respectively, andreturn-1; otherwise, set*overflow to0. If any other exceptionoccurs set*overflow to0and return-1as usual.Returns
-1on error. UsePyErr_Occurred()to disambiguate.Changed in version 3.8:Use
__index__()if available.Changed in version 3.10:This function will no longer use
__int__().
- longlongPyLong_AsLongLong(PyObject*obj)¶
- Part of theStable ABI.
Return a Clonglong representation ofobj. Ifobj is not aninstance of
PyLongObject, first call its__index__()method(if present) to convert it to aPyLongObject.Raise
OverflowErrorif the value ofobj is out of range for alonglong.Returns
-1on error. UsePyErr_Occurred()to disambiguate.Changed in version 3.8:Use
__index__()if available.Changed in version 3.10:This function will no longer use
__int__().
- longlongPyLong_AsLongLongAndOverflow(PyObject*obj,int*overflow)¶
- Part of theStable ABI.
Return a Clonglong representation ofobj. Ifobj is not aninstance of
PyLongObject, first call its__index__()method(if present) to convert it to aPyLongObject.If the value ofobj is greater than
LLONG_MAXor less thanLLONG_MIN, set*overflow to1or-1, respectively,and return-1; otherwise, set*overflow to0. If any otherexception occurs set*overflow to0and return-1as usual.Returns
-1on error. UsePyErr_Occurred()to disambiguate.Added in version 3.2.
Changed in version 3.8:Use
__index__()if available.Changed in version 3.10:This function will no longer use
__int__().
- Py_ssize_tPyLong_AsSsize_t(PyObject*pylong)¶
- Part of theStable ABI.
Return a C
Py_ssize_trepresentation ofpylong.pylong mustbe an instance ofPyLongObject.Raise
OverflowErrorif the value ofpylong is out of range for aPy_ssize_t.Returns
-1on error. UsePyErr_Occurred()to disambiguate.
- unsignedlongPyLong_AsUnsignedLong(PyObject*pylong)¶
- Part of theStable ABI.
Return a Cunsignedlong representation ofpylong.pylongmust be an instance of
PyLongObject.Raise
OverflowErrorif the value ofpylong is out of range for aunsignedlong.Returns
(unsignedlong)-1on error.UsePyErr_Occurred()to disambiguate.
- size_tPyLong_AsSize_t(PyObject*pylong)¶
- Part of theStable ABI.
Return a C
size_trepresentation ofpylong.pylong must bean instance ofPyLongObject.Raise
OverflowErrorif the value ofpylong is out of range for asize_t.Returns
(size_t)-1on error.UsePyErr_Occurred()to disambiguate.
- unsignedlonglongPyLong_AsUnsignedLongLong(PyObject*pylong)¶
- Part of theStable ABI.
Return a Cunsignedlonglong representation ofpylong.pylongmust be an instance of
PyLongObject.Raise
OverflowErrorif the value ofpylong is out of range for anunsignedlonglong.Returns
(unsignedlonglong)-1on error.UsePyErr_Occurred()to disambiguate.Changed in version 3.1:A negativepylong now raises
OverflowError, notTypeError.
- unsignedlongPyLong_AsUnsignedLongMask(PyObject*obj)¶
- Part of theStable ABI.
Return a Cunsignedlong representation ofobj. Ifobj is notan instance of
PyLongObject, first call its__index__()method (if present) to convert it to aPyLongObject.If the value ofobj is out of range for anunsignedlong,return the reduction of that value modulo
ULONG_MAX+1.Returns
(unsignedlong)-1on error. UsePyErr_Occurred()todisambiguate.Changed in version 3.8:Use
__index__()if available.Changed in version 3.10:This function will no longer use
__int__().
- unsignedlonglongPyLong_AsUnsignedLongLongMask(PyObject*obj)¶
- Part of theStable ABI.
Return a Cunsignedlonglong representation ofobj. Ifobjis not an instance of
PyLongObject, first call its__index__()method (if present) to convert it to aPyLongObject.If the value ofobj is out of range for anunsignedlonglong,return the reduction of that value modulo
ULLONG_MAX+1.Returns
(unsignedlonglong)-1on error. UsePyErr_Occurred()to disambiguate.Changed in version 3.8:Use
__index__()if available.Changed in version 3.10:This function will no longer use
__int__().
- intPyLong_AsInt32(PyObject*obj,int32_t*value)¶
- intPyLong_AsInt64(PyObject*obj,int64_t*value)¶
- Part of theStable ABI since version 3.14.
Set*value to a signed Cint32_t orint64_trepresentation ofobj.
Ifobj is not an instance of
PyLongObject, first call its__index__()method (if present) to convert it to aPyLongObject.If theobj value is out of range, raise an
OverflowError.Set*value and return
0on success.Set an exception and return-1on error.value must not be
NULL.Added in version 3.14.
- intPyLong_AsUInt32(PyObject*obj,uint32_t*value)¶
- intPyLong_AsUInt64(PyObject*obj,uint64_t*value)¶
- Part of theStable ABI since version 3.14.
Set*value to an unsigned Cuint32_t oruint64_trepresentation ofobj.
Ifobj is not an instance of
PyLongObject, first call its__index__()method (if present) to convert it to aPyLongObject.Ifobj is negative, raise a
ValueError.If theobj value is out of range, raise an
OverflowError.
Set*value and return
0on success.Set an exception and return-1on error.value must not be
NULL.Added in version 3.14.
- doublePyLong_AsDouble(PyObject*pylong)¶
- Part of theStable ABI.
Return a Cdouble representation ofpylong.pylong must bean instance of
PyLongObject.Raise
OverflowErrorif the value ofpylong is out of range for adouble.Returns
-1.0on error. UsePyErr_Occurred()to disambiguate.
- void*PyLong_AsVoidPtr(PyObject*pylong)¶
- Part of theStable ABI.
Convert a Python integerpylong to a Cvoid pointer.Ifpylong cannot be converted, an
OverflowErrorwill be raised. Thisis only assured to produce a usablevoid pointer for values createdwithPyLong_FromVoidPtr().Returns
NULLon error. UsePyErr_Occurred()to disambiguate.
- Py_ssize_tPyLong_AsNativeBytes(PyObject*pylong,void*buffer,Py_ssize_tn_bytes,intflags)¶
- Part of theStable ABI since version 3.14.
Copy the Python integer valuepylong to a nativebuffer of sizen_bytes. Theflags can be set to
-1to behave similarly to a C cast,or to values documented below to control the behavior.Returns
-1with an exception raised on error. This may happen ifpylong cannot be interpreted as an integer, or ifpylong was negativeand thePy_ASNATIVEBYTES_REJECT_NEGATIVEflag was set.Otherwise, returns the number of bytes required to store the value.If this is equal to or less thann_bytes, the entire value was copied.Alln_bytes of the buffer are written: large buffers are padded withzeroes.
If the returned value is greater thann_bytes, the value wastruncated: as many of the lowest bits of the value as could fit are written,and the higher bits are ignored. This matches the typical behaviorof a C-style downcast.
Note
Overflow is not considered an error. If the returned valueis larger thann_bytes, most significant bits were discarded.
0will never be returned.Values are always copied as two’s-complement.
Usage example:
int32_tvalue;Py_ssize_tbytes=PyLong_AsNativeBytes(pylong,&value,sizeof(value),-1);if(bytes<0){// Failed. A Python exception was set with the reason.returnNULL;}elseif(bytes<=(Py_ssize_t)sizeof(value)){// Success!}else{// Overflow occurred, but 'value' contains the truncated// lowest bits of pylong.}
Passing zero ton_bytes will return the size of a buffer that wouldbe large enough to hold the value. This may be larger than technicallynecessary, but not unreasonably so. Ifn_bytes=0,buffer may be
NULL.Note
Passingn_bytes=0 to this function is not an accurate way to determinethe bit length of the value.
To get at the entire Python value of an unknown size, the function can becalled twice: first to determine the buffer size, then to fill it:
// Ask how much space we need.Py_ssize_texpected=PyLong_AsNativeBytes(pylong,NULL,0,-1);if(expected<0){// Failed. A Python exception was set with the reason.returnNULL;}assert(expected!=0);// Impossible per the API definition.uint8_t*bignum=malloc(expected);if(!bignum){PyErr_SetString(PyExc_MemoryError,"bignum malloc failed.");returnNULL;}// Safely get the entire value.Py_ssize_tbytes=PyLong_AsNativeBytes(pylong,bignum,expected,-1);if(bytes<0){// Exception has been set.free(bignum);returnNULL;}elseif(bytes>expected){// This should not be possible.PyErr_SetString(PyExc_RuntimeError,"Unexpected bignum truncation after a size check.");free(bignum);returnNULL;}// The expected success given the above pre-check.// ... use bignum ...free(bignum);
flags is either
-1(Py_ASNATIVEBYTES_DEFAULTS) to select defaultsthat behave most like a C cast, or a combination of the other flags inthe table below.Note that-1cannot be combined with other flags.Currently,
-1corresponds toPy_ASNATIVEBYTES_NATIVE_ENDIAN|Py_ASNATIVEBYTES_UNSIGNED_BUFFER.Flag
Value
- Py_ASNATIVEBYTES_DEFAULTS¶
- Part of theStable ABI since version 3.14.
-1- Py_ASNATIVEBYTES_BIG_ENDIAN¶
- Part of theStable ABI since version 3.14.
0- Py_ASNATIVEBYTES_LITTLE_ENDIAN¶
- Part of theStable ABI since version 3.14.
1- Py_ASNATIVEBYTES_NATIVE_ENDIAN¶
- Part of theStable ABI since version 3.14.
3- Py_ASNATIVEBYTES_UNSIGNED_BUFFER¶
- Part of theStable ABI since version 3.14.
4- Py_ASNATIVEBYTES_REJECT_NEGATIVE¶
- Part of theStable ABI since version 3.14.
8- Py_ASNATIVEBYTES_ALLOW_INDEX¶
- Part of theStable ABI since version 3.14.
16Specifying
Py_ASNATIVEBYTES_NATIVE_ENDIANwill override any other endianflags. Passing2is reserved.By default, sufficient buffer will be requested to include a sign bit.For example, when converting 128 withn_bytes=1, the function will return2 (or more) in order to store a zero sign bit.
If
Py_ASNATIVEBYTES_UNSIGNED_BUFFERis specified, a zero sign bitwill be omitted from size calculations. This allows, for example, 128 to fitin a single-byte buffer. If the destination buffer is later treated assigned, a positive input value may become negative.Note that the flag does not affect handling of negative values: for those,space for a sign bit is always requested.Specifying
Py_ASNATIVEBYTES_REJECT_NEGATIVEcauses an exception to be setifpylong is negative. Without this flag, negative values will be copiedprovided there is enough space for at least one sign bit, regardless ofwhetherPy_ASNATIVEBYTES_UNSIGNED_BUFFERwas specified.If
Py_ASNATIVEBYTES_ALLOW_INDEXis specified and a non-integer value ispassed, its__index__()method will be called first. This mayresult in Python code executing and other threads being allowed to run, whichcould cause changes to other objects or values in use. Whenflags is-1, this option is not set, and non-integer values will raiseTypeError.Note
With the defaultflags (
-1, orUNSIGNED_BUFFER withoutREJECT_NEGATIVE), multiple Python integers can map to a single valuewithout overflow. For example, both255and-1fit a single-bytebuffer and set all its bits.This matches typical C cast behavior.Added in version 3.13.
- Py_ASNATIVEBYTES_DEFAULTS¶
- PyLong_AsPid(pid)¶
Macro for converting a Python integer into a process identifier.
This can be defined as an alias to
PyLong_AsLong(),PyLong_FromLongLong(), orPyLong_AsInt(), depending on thesize of the system’s PID type.Added in version 3.2.
- intPyLong_GetSign(PyObject*obj,int*sign)¶
Get the sign of the integer objectobj.
On success, set*sign to the integer sign (0, -1 or +1 for zero, negative orpositive integer, respectively) and return 0.
On failure, return -1 with an exception set. This function always succeedsifobj is a
PyLongObjector its subtype.Added in version 3.14.
- intPyLong_IsPositive(PyObject*obj)¶
Check if the integer objectobj is positive (
obj>0).Ifobj is an instance of
PyLongObjector its subtype,return1when it’s positive and0otherwise. Else set anexception and return-1.Added in version 3.14.
- intPyLong_IsNegative(PyObject*obj)¶
Check if the integer objectobj is negative (
obj<0).Ifobj is an instance of
PyLongObjector its subtype,return1when it’s negative and0otherwise. Else set anexception and return-1.Added in version 3.14.
- intPyLong_IsZero(PyObject*obj)¶
Check if the integer objectobj is zero.
Ifobj is an instance of
PyLongObjector its subtype,return1when it’s zero and0otherwise. Else set anexception and return-1.Added in version 3.14.
- PyObject*PyLong_GetInfo(void)¶
- Part of theStable ABI.
On success, return a read onlynamed tuple, that holdsinformation about Python’s internal representation of integers.See
sys.int_infofor description of individual fields.On failure, return
NULLwith an exception set.Added in version 3.1.
- intPyUnstable_Long_IsCompact(constPyLongObject*op)¶
- This isUnstable API. It may change without warning in minor releases.
Return 1 ifop is compact, 0 otherwise.
This function makes it possible for performance-critical code to implementa “fast path” for small integers. For compact values use
PyUnstable_Long_CompactValue(); for others fall back to aPyLong_As*function orPyLong_AsNativeBytes().The speedup is expected to be negligible for most users.
Exactly what values are considered compact is an implementation detailand is subject to change.
Added in version 3.12.
- Py_ssize_tPyUnstable_Long_CompactValue(constPyLongObject*op)¶
- This isUnstable API. It may change without warning in minor releases.
Ifop is compact, as determined by
PyUnstable_Long_IsCompact(),return its value.Otherwise, the return value is undefined.
Added in version 3.12.
Export API¶
Added in version 3.14.
- structPyLongLayout¶
Layout of an array of “digits” (“limbs” in the GMP terminology), used torepresent absolute value for arbitrary precision integers.
Use
PyLong_GetNativeLayout()to get the native layout of Pythonintobjects, used internally for integers with “big enough”absolute value.See also
sys.int_infowhich exposes similar information in Python.- uint8_tbits_per_digit¶
Bits per digit. For example, a 15 bit digit means that bits 0-14 containmeaningful information.
- uint8_tdigit_size¶
Digit size in bytes. For example, a 15 bit digit will require at least 2bytes.
- int8_tdigits_order¶
Digits order:
1for most significant digit first-1for least significant digit first
- int8_tdigit_endianness¶
Digit endianness:
1for most significant byte first (big endian)-1for least significant byte first (little endian)
- uint8_tbits_per_digit¶
- constPyLongLayout*PyLong_GetNativeLayout(void)¶
Get the native layout of Python
intobjects.See the
PyLongLayoutstructure.The function must not be called before Python initialization nor afterPython finalization. The returned layout is valid until Python isfinalized. The layout is the same for all Python sub-interpretersin a process, and so it can be cached.
- structPyLongExport¶
Export of a Python
intobject.There are two cases:
- Py_ssize_tndigits¶
Number of digits in
digitsarray.Only valid ifdigitsis notNULL.
- constvoid*digits¶
Read-only array of unsigned digits. Can be
NULL.
- intPyLong_Export(PyObject*obj,PyLongExport*export_long)¶
Export a Python
intobject.export_long must point to a
PyLongExportstructure allocatedby the caller. It must not beNULL.On success, fill in*export_long and return
0.On error, set an exception and return-1.PyLong_FreeExport()must be called when the export is no longerneeded.CPython implementation detail: This function always succeeds ifobj is a Python
intobjector a subclass.
- voidPyLong_FreeExport(PyLongExport*export_long)¶
Release the exportexport_long created by
PyLong_Export().CPython implementation detail: Calling
PyLong_FreeExport()is optional ifexport_long->digitsisNULL.
PyLongWriter API¶
ThePyLongWriter API can be used to import an integer.
Added in version 3.14.
- structPyLongWriter¶
A Python
intwriter instance.The instance must be destroyed by
PyLongWriter_Finish()orPyLongWriter_Discard().
- PyLongWriter*PyLongWriter_Create(intnegative,Py_ssize_tndigits,void**digits)¶
Create a
PyLongWriter.On success, allocate*digits and return a writer.On error, set an exception and return
NULL.negative is
1if the number is negative, or0otherwise.ndigits is the number of digits in thedigits array. It must begreater than 0.
digits must not be NULL.
After a successful call to this function, the caller should fill in thearray of digitsdigits and then call
PyLongWriter_Finish()to geta Pythonint.The layout ofdigits is described byPyLong_GetNativeLayout().Digits must be in the range [
0;(1<<bits_per_digit)-1](where thebits_per_digitis the number of bitsper digit).Any unused most significant digits must be set to0.Alternately, call
PyLongWriter_Discard()to destroy the writerinstance without creating anintobject.
- PyObject*PyLongWriter_Finish(PyLongWriter*writer)¶
- Return value: New reference.
Finish a
PyLongWritercreated byPyLongWriter_Create().On success, return a Python
intobject.On error, set an exception and returnNULL.The function takes care of normalizing the digits and converts the objectto a compact integer if needed.
The writer instance and thedigits array are invalid after the call.
- voidPyLongWriter_Discard(PyLongWriter*writer)¶
Discard a
PyLongWritercreated byPyLongWriter_Create().Ifwriter is
NULL, no operation is performed.The writer instance and thedigits array are invalid after the call.