diff --git a/mypyc/lib-rt/pythoncapi_compat.h b/mypyc/lib-rt/pythoncapi_compat.h
index f22e92f7358f..1b59f93de7ec 100644
--- a/mypyc/lib-rt/pythoncapi_compat.h
+++ b/mypyc/lib-rt/pythoncapi_compat.h
@@ -19,34 +19,25 @@ extern "C" {
 #endif
 
 #include <Python.h>
-#include "frameobject.h"          // PyFrameObject, PyFrame_GetBack()
 
-
-// Compatibility with Visual Studio 2013 and older which don't support
-// the inline keyword in C (only in C++): use __inline instead.
-#if (defined(_MSC_VER) && _MSC_VER < 1900 \
-     && !defined(__cplusplus) && !defined(inline))
-#  define PYCAPI_COMPAT_STATIC_INLINE(TYPE) static __inline TYPE
-#else
-#  define PYCAPI_COMPAT_STATIC_INLINE(TYPE) static inline TYPE
+// Python 3.11.0b4 added PyFrame_Back() to Python.h
+#if PY_VERSION_HEX < 0x030b00B4 && !defined(PYPY_VERSION)
+#  include "frameobject.h"        // PyFrameObject, PyFrame_GetBack()
 #endif
 
 
-// C++ compatibility: _Py_CAST() and _Py_NULL
 #ifndef _Py_CAST
-#  ifdef __cplusplus
-#    define _Py_CAST(type, expr) \
-         const_cast<type>(reinterpret_cast<const type>(expr))
-#  else
-#    define _Py_CAST(type, expr) ((type)(expr))
-#  endif
+#  define _Py_CAST(type, expr) ((type)(expr))
 #endif
-#ifndef _Py_NULL
-#  ifdef __cplusplus
-#    define _Py_NULL nullptr
-#  else
-#    define _Py_NULL NULL
-#  endif
+
+// Static inline functions should use _Py_NULL rather than using directly NULL
+// to prevent C++ compiler warnings. On C23 and newer and on C++11 and newer,
+// _Py_NULL is defined as nullptr.
+#if (defined (__STDC_VERSION__) && __STDC_VERSION__ > 201710L) \
+        || (defined(__cplusplus) && __cplusplus >= 201103)
+#  define _Py_NULL nullptr
+#else
+#  define _Py_NULL NULL
 #endif
 
 // Cast argument to PyObject* type.
@@ -57,8 +48,7 @@ extern "C" {
 
 // bpo-42262 added Py_NewRef() to Python 3.10.0a3
 #if PY_VERSION_HEX < 0x030A00A3 && !defined(Py_NewRef)
-PYCAPI_COMPAT_STATIC_INLINE(PyObject*)
-_Py_NewRef(PyObject *obj)
+static inline PyObject* _Py_NewRef(PyObject *obj)
 {
     Py_INCREF(obj);
     return obj;
@@ -69,8 +59,7 @@ _Py_NewRef(PyObject *obj)
 
 // bpo-42262 added Py_XNewRef() to Python 3.10.0a3
 #if PY_VERSION_HEX < 0x030A00A3 && !defined(Py_XNewRef)
-PYCAPI_COMPAT_STATIC_INLINE(PyObject*)
-_Py_XNewRef(PyObject *obj)
+static inline PyObject* _Py_XNewRef(PyObject *obj)
 {
     Py_XINCREF(obj);
     return obj;
@@ -81,8 +70,7 @@ _Py_XNewRef(PyObject *obj)
 
 // bpo-39573 added Py_SET_REFCNT() to Python 3.9.0a4
 #if PY_VERSION_HEX < 0x030900A4 && !defined(Py_SET_REFCNT)
-PYCAPI_COMPAT_STATIC_INLINE(void)
-_Py_SET_REFCNT(PyObject *ob, Py_ssize_t refcnt)
+static inline void _Py_SET_REFCNT(PyObject *ob, Py_ssize_t refcnt)
 {
     ob->ob_refcnt = refcnt;
 }
@@ -93,18 +81,20 @@ _Py_SET_REFCNT(PyObject *ob, Py_ssize_t refcnt)
 // Py_SETREF() and Py_XSETREF() were added to Python 3.5.2.
 // It is excluded from the limited C API.
 #if (PY_VERSION_HEX < 0x03050200 && !defined(Py_SETREF)) && !defined(Py_LIMITED_API)
-#define Py_SETREF(op, op2)                      \
-    do {                                        \
-        PyObject *_py_tmp = _PyObject_CAST(op); \
-        (op) = (op2);                           \
-        Py_DECREF(_py_tmp);                     \
+#define Py_SETREF(dst, src)                                     \
+    do {                                                        \
+        PyObject **_tmp_dst_ptr = _Py_CAST(PyObject**, &(dst)); \
+        PyObject *_tmp_dst = (*_tmp_dst_ptr);                   \
+        *_tmp_dst_ptr = _PyObject_CAST(src);                    \
+        Py_DECREF(_tmp_dst);                                    \
     } while (0)
 
-#define Py_XSETREF(op, op2)                     \
-    do {                                        \
-        PyObject *_py_tmp = _PyObject_CAST(op); \
-        (op) = (op2);                           \
-        Py_XDECREF(_py_tmp);                    \
+#define Py_XSETREF(dst, src)                                    \
+    do {                                                        \
+        PyObject **_tmp_dst_ptr = _Py_CAST(PyObject**, &(dst)); \
+        PyObject *_tmp_dst = (*_tmp_dst_ptr);                   \
+        *_tmp_dst_ptr = _PyObject_CAST(src);                    \
+        Py_XDECREF(_tmp_dst);                                   \
     } while (0)
 #endif
 
@@ -117,18 +107,17 @@ _Py_SET_REFCNT(PyObject *ob, Py_ssize_t refcnt)
 #if PY_VERSION_HEX < 0x030A00B1 && !defined(Py_IsNone)
 #  define Py_IsNone(x) Py_Is(x, Py_None)
 #endif
-#if PY_VERSION_HEX < 0x030A00B1 && !defined(Py_IsTrue)
+#if (PY_VERSION_HEX < 0x030A00B1 || defined(PYPY_VERSION)) && !defined(Py_IsTrue)
 #  define Py_IsTrue(x) Py_Is(x, Py_True)
 #endif
-#if PY_VERSION_HEX < 0x030A00B1 && !defined(Py_IsFalse)
+#if (PY_VERSION_HEX < 0x030A00B1 || defined(PYPY_VERSION)) && !defined(Py_IsFalse)
 #  define Py_IsFalse(x) Py_Is(x, Py_False)
 #endif
 
 
 // bpo-39573 added Py_SET_TYPE() to Python 3.9.0a4
 #if PY_VERSION_HEX < 0x030900A4 && !defined(Py_SET_TYPE)
-PYCAPI_COMPAT_STATIC_INLINE(void)
-_Py_SET_TYPE(PyObject *ob, PyTypeObject *type)
+static inline void _Py_SET_TYPE(PyObject *ob, PyTypeObject *type)
 {
     ob->ob_type = type;
 }
@@ -138,8 +127,7 @@ _Py_SET_TYPE(PyObject *ob, PyTypeObject *type)
 
 // bpo-39573 added Py_SET_SIZE() to Python 3.9.0a4
 #if PY_VERSION_HEX < 0x030900A4 && !defined(Py_SET_SIZE)
-PYCAPI_COMPAT_STATIC_INLINE(void)
-_Py_SET_SIZE(PyVarObject *ob, Py_ssize_t size)
+static inline void _Py_SET_SIZE(PyVarObject *ob, Py_ssize_t size)
 {
     ob->ob_size = size;
 }
@@ -148,9 +136,8 @@ _Py_SET_SIZE(PyVarObject *ob, Py_ssize_t size)
 
 
 // bpo-40421 added PyFrame_GetCode() to Python 3.9.0b1
-#if PY_VERSION_HEX < 0x030900B1
-PYCAPI_COMPAT_STATIC_INLINE(PyCodeObject*)
-PyFrame_GetCode(PyFrameObject *frame)
+#if PY_VERSION_HEX < 0x030900B1 || defined(PYPY_VERSION)
+static inline PyCodeObject* PyFrame_GetCode(PyFrameObject *frame)
 {
     assert(frame != _Py_NULL);
     assert(frame->f_code != _Py_NULL);
@@ -158,8 +145,7 @@ PyFrame_GetCode(PyFrameObject *frame)
 }
 #endif
 
-PYCAPI_COMPAT_STATIC_INLINE(PyCodeObject*)
-_PyFrame_GetCodeBorrow(PyFrameObject *frame)
+static inline PyCodeObject* _PyFrame_GetCodeBorrow(PyFrameObject *frame)
 {
     PyCodeObject *code = PyFrame_GetCode(frame);
     Py_DECREF(code);
@@ -169,8 +155,7 @@ _PyFrame_GetCodeBorrow(PyFrameObject *frame)
 
 // bpo-40421 added PyFrame_GetBack() to Python 3.9.0b1
 #if PY_VERSION_HEX < 0x030900B1 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(PyFrameObject*)
-PyFrame_GetBack(PyFrameObject *frame)
+static inline PyFrameObject* PyFrame_GetBack(PyFrameObject *frame)
 {
     assert(frame != _Py_NULL);
     return _Py_CAST(PyFrameObject*, Py_XNewRef(frame->f_back));
@@ -178,8 +163,7 @@ PyFrame_GetBack(PyFrameObject *frame)
 #endif
 
 #if !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(PyFrameObject*)
-_PyFrame_GetBackBorrow(PyFrameObject *frame)
+static inline PyFrameObject* _PyFrame_GetBackBorrow(PyFrameObject *frame)
 {
     PyFrameObject *back = PyFrame_GetBack(frame);
     Py_XDECREF(back);
@@ -190,8 +174,7 @@ _PyFrame_GetBackBorrow(PyFrameObject *frame)
 
 // bpo-40421 added PyFrame_GetLocals() to Python 3.11.0a7
 #if PY_VERSION_HEX < 0x030B00A7 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(PyObject*)
-PyFrame_GetLocals(PyFrameObject *frame)
+static inline PyObject* PyFrame_GetLocals(PyFrameObject *frame)
 {
 #if PY_VERSION_HEX >= 0x030400B1
     if (PyFrame_FastToLocalsWithError(frame) < 0) {
@@ -207,8 +190,7 @@ PyFrame_GetLocals(PyFrameObject *frame)
 
 // bpo-40421 added PyFrame_GetGlobals() to Python 3.11.0a7
 #if PY_VERSION_HEX < 0x030B00A7 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(PyObject*)
-PyFrame_GetGlobals(PyFrameObject *frame)
+static inline PyObject* PyFrame_GetGlobals(PyFrameObject *frame)
 {
     return Py_NewRef(frame->f_globals);
 }
@@ -217,8 +199,7 @@ PyFrame_GetGlobals(PyFrameObject *frame)
 
 // bpo-40421 added PyFrame_GetBuiltins() to Python 3.11.0a7
 #if PY_VERSION_HEX < 0x030B00A7 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(PyObject*)
-PyFrame_GetBuiltins(PyFrameObject *frame)
+static inline PyObject* PyFrame_GetBuiltins(PyFrameObject *frame)
 {
     return Py_NewRef(frame->f_builtins);
 }
@@ -227,8 +208,7 @@ PyFrame_GetBuiltins(PyFrameObject *frame)
 
 // bpo-40421 added PyFrame_GetLasti() to Python 3.11.0b1
 #if PY_VERSION_HEX < 0x030B00B1 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(int)
-PyFrame_GetLasti(PyFrameObject *frame)
+static inline int PyFrame_GetLasti(PyFrameObject *frame)
 {
 #if PY_VERSION_HEX >= 0x030A00A7
     // bpo-27129: Since Python 3.10.0a7, f_lasti is an instruction offset,
@@ -245,9 +225,63 @@ PyFrame_GetLasti(PyFrameObject *frame)
 #endif
 
 
+// gh-91248 added PyFrame_GetVar() to Python 3.12.0a2
+#if PY_VERSION_HEX < 0x030C00A2 && !defined(PYPY_VERSION)
+static inline PyObject* PyFrame_GetVar(PyFrameObject *frame, PyObject *name)
+{
+    PyObject *locals, *value;
+
+    locals = PyFrame_GetLocals(frame);
+    if (locals == NULL) {
+        return NULL;
+    }
+#if PY_VERSION_HEX >= 0x03000000
+    value = PyDict_GetItemWithError(locals, name);
+#else
+    value = _PyDict_GetItemWithError(locals, name);
+#endif
+    Py_DECREF(locals);
+
+    if (value == NULL) {
+        if (PyErr_Occurred()) {
+            return NULL;
+        }
+#if PY_VERSION_HEX >= 0x03000000
+        PyErr_Format(PyExc_NameError, "variable %R does not exist", name);
+#else
+        PyErr_SetString(PyExc_NameError, "variable does not exist");
+#endif
+        return NULL;
+    }
+    return Py_NewRef(value);
+}
+#endif
+
+
+// gh-91248 added PyFrame_GetVarString() to Python 3.12.0a2
+#if PY_VERSION_HEX < 0x030C00A2 && !defined(PYPY_VERSION)
+static inline PyObject*
+PyFrame_GetVarString(PyFrameObject *frame, const char *name)
+{
+    PyObject *name_obj, *value;
+#if PY_VERSION_HEX >= 0x03000000
+    name_obj = PyUnicode_FromString(name);
+#else
+    name_obj = PyString_FromString(name);
+#endif
+    if (name_obj == NULL) {
+        return NULL;
+    }
+    value = PyFrame_GetVar(frame, name_obj);
+    Py_DECREF(name_obj);
+    return value;
+}
+#endif
+
+
 // bpo-39947 added PyThreadState_GetInterpreter() to Python 3.9.0a5
-#if PY_VERSION_HEX < 0x030900A5
-PYCAPI_COMPAT_STATIC_INLINE(PyInterpreterState *)
+#if PY_VERSION_HEX < 0x030900A5 || defined(PYPY_VERSION)
+static inline PyInterpreterState *
 PyThreadState_GetInterpreter(PyThreadState *tstate)
 {
     assert(tstate != _Py_NULL);
@@ -258,8 +292,7 @@ PyThreadState_GetInterpreter(PyThreadState *tstate)
 
 // bpo-40429 added PyThreadState_GetFrame() to Python 3.9.0b1
 #if PY_VERSION_HEX < 0x030900B1 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(PyFrameObject*)
-PyThreadState_GetFrame(PyThreadState *tstate)
+static inline PyFrameObject* PyThreadState_GetFrame(PyThreadState *tstate)
 {
     assert(tstate != _Py_NULL);
     return _Py_CAST(PyFrameObject *, Py_XNewRef(tstate->frame));
@@ -267,7 +300,7 @@ PyThreadState_GetFrame(PyThreadState *tstate)
 #endif
 
 #if !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(PyFrameObject*)
+static inline PyFrameObject*
 _PyThreadState_GetFrameBorrow(PyThreadState *tstate)
 {
     PyFrameObject *frame = PyThreadState_GetFrame(tstate);
@@ -278,9 +311,8 @@ _PyThreadState_GetFrameBorrow(PyThreadState *tstate)
 
 
 // bpo-39947 added PyInterpreterState_Get() to Python 3.9.0a5
-#if PY_VERSION_HEX < 0x030900A5
-PYCAPI_COMPAT_STATIC_INLINE(PyInterpreterState*)
-PyInterpreterState_Get(void)
+#if PY_VERSION_HEX < 0x030900A5 || defined(PYPY_VERSION)
+static inline PyInterpreterState* PyInterpreterState_Get(void)
 {
     PyThreadState *tstate;
     PyInterpreterState *interp;
@@ -300,8 +332,7 @@ PyInterpreterState_Get(void)
 
 // bpo-39947 added PyInterpreterState_Get() to Python 3.9.0a6
 #if 0x030700A1 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x030900A6 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(uint64_t)
-PyThreadState_GetID(PyThreadState *tstate)
+static inline uint64_t PyThreadState_GetID(PyThreadState *tstate)
 {
     assert(tstate != _Py_NULL);
     return tstate->id;
@@ -310,8 +341,7 @@ PyThreadState_GetID(PyThreadState *tstate)
 
 // bpo-43760 added PyThreadState_EnterTracing() to Python 3.11.0a2
 #if PY_VERSION_HEX < 0x030B00A2 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(void)
-PyThreadState_EnterTracing(PyThreadState *tstate)
+static inline void PyThreadState_EnterTracing(PyThreadState *tstate)
 {
     tstate->tracing++;
 #if PY_VERSION_HEX >= 0x030A00A1
@@ -324,8 +354,7 @@ PyThreadState_EnterTracing(PyThreadState *tstate)
 
 // bpo-43760 added PyThreadState_LeaveTracing() to Python 3.11.0a2
 #if PY_VERSION_HEX < 0x030B00A2 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(void)
-PyThreadState_LeaveTracing(PyThreadState *tstate)
+static inline void PyThreadState_LeaveTracing(PyThreadState *tstate)
 {
     int use_tracing = (tstate->c_tracefunc != _Py_NULL
                        || tstate->c_profilefunc != _Py_NULL);
@@ -340,9 +369,9 @@ PyThreadState_LeaveTracing(PyThreadState *tstate)
 
 
 // bpo-37194 added PyObject_CallNoArgs() to Python 3.9.0a1
-#if PY_VERSION_HEX < 0x030900A1
-PYCAPI_COMPAT_STATIC_INLINE(PyObject*)
-PyObject_CallNoArgs(PyObject *func)
+// PyObject_CallNoArgs() added to PyPy 3.9.16-v7.3.11
+#if !defined(PyObject_CallNoArgs) && PY_VERSION_HEX < 0x030900A1
+static inline PyObject* PyObject_CallNoArgs(PyObject *func)
 {
     return PyObject_CallFunctionObjArgs(func, NULL);
 }
@@ -351,9 +380,9 @@ PyObject_CallNoArgs(PyObject *func)
 
 // bpo-39245 made PyObject_CallOneArg() public (previously called
 // _PyObject_CallOneArg) in Python 3.9.0a4
-#if PY_VERSION_HEX < 0x030900A4
-PYCAPI_COMPAT_STATIC_INLINE(PyObject*)
-PyObject_CallOneArg(PyObject *func, PyObject *arg)
+// PyObject_CallOneArg() added to PyPy 3.9.16-v7.3.11
+#if !defined(PyObject_CallOneArg) && PY_VERSION_HEX < 0x030900A4
+static inline PyObject* PyObject_CallOneArg(PyObject *func, PyObject *arg)
 {
     return PyObject_CallFunctionObjArgs(func, arg, NULL);
 }
@@ -362,10 +391,19 @@ PyObject_CallOneArg(PyObject *func, PyObject *arg)
 
 // bpo-1635741 added PyModule_AddObjectRef() to Python 3.10.0a3
 #if PY_VERSION_HEX < 0x030A00A3
-PYCAPI_COMPAT_STATIC_INLINE(int)
+static inline int
 PyModule_AddObjectRef(PyObject *module, const char *name, PyObject *value)
 {
     int res;
+
+    if (!value && !PyErr_Occurred()) {
+        // PyModule_AddObject() raises TypeError in this case
+        PyErr_SetString(PyExc_SystemError,
+                        "PyModule_AddObjectRef() must be called "
+                        "with an exception raised if value is NULL");
+        return -1;
+    }
+
     Py_XINCREF(value);
     res = PyModule_AddObject(module, name, value);
     if (res < 0) {
@@ -378,8 +416,7 @@ PyModule_AddObjectRef(PyObject *module, const char *name, PyObject *value)
 
 // bpo-40024 added PyModule_AddType() to Python 3.9.0a5
 #if PY_VERSION_HEX < 0x030900A5
-PYCAPI_COMPAT_STATIC_INLINE(int)
-PyModule_AddType(PyObject *module, PyTypeObject *type)
+static inline int PyModule_AddType(PyObject *module, PyTypeObject *type)
 {
     const char *name, *dot;
 
@@ -403,8 +440,7 @@ PyModule_AddType(PyObject *module, PyTypeObject *type)
 // bpo-40241 added PyObject_GC_IsTracked() to Python 3.9.0a6.
 // bpo-4688 added _PyObject_GC_IS_TRACKED() to Python 2.7.0a2.
 #if PY_VERSION_HEX < 0x030900A6 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(int)
-PyObject_GC_IsTracked(PyObject* obj)
+static inline int PyObject_GC_IsTracked(PyObject* obj)
 {
     return (PyObject_IS_GC(obj) && _PyObject_GC_IS_TRACKED(obj));
 }
@@ -413,8 +449,7 @@ PyObject_GC_IsTracked(PyObject* obj)
 // bpo-40241 added PyObject_GC_IsFinalized() to Python 3.9.0a6.
 // bpo-18112 added _PyGCHead_FINALIZED() to Python 3.4.0 final.
 #if PY_VERSION_HEX < 0x030900A6 && PY_VERSION_HEX >= 0x030400F0 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(int)
-PyObject_GC_IsFinalized(PyObject *obj)
+static inline int PyObject_GC_IsFinalized(PyObject *obj)
 {
     PyGC_Head *gc = _Py_CAST(PyGC_Head*, obj) - 1;
     return (PyObject_IS_GC(obj) && _PyGCHead_FINALIZED(gc));
@@ -424,8 +459,7 @@ PyObject_GC_IsFinalized(PyObject *obj)
 
 // bpo-39573 added Py_IS_TYPE() to Python 3.9.0a4
 #if PY_VERSION_HEX < 0x030900A4 && !defined(Py_IS_TYPE)
-PYCAPI_COMPAT_STATIC_INLINE(int)
-_Py_IS_TYPE(PyObject *ob, PyTypeObject *type) {
+static inline int _Py_IS_TYPE(PyObject *ob, PyTypeObject *type) {
     return Py_TYPE(ob) == type;
 }
 #define Py_IS_TYPE(ob, type) _Py_IS_TYPE(_PyObject_CAST(ob), type)
@@ -437,12 +471,10 @@ _Py_IS_TYPE(PyObject *ob, PyTypeObject *type) {
 // Python 3.11a2 moved _PyFloat_Pack2() and _PyFloat_Unpack2() to the internal
 // C API: Python 3.11a2-3.11a6 versions are not supported.
 #if 0x030600B1 <= PY_VERSION_HEX && PY_VERSION_HEX <= 0x030B00A1 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(int)
-PyFloat_Pack2(double x, char *p, int le)
+static inline int PyFloat_Pack2(double x, char *p, int le)
 { return _PyFloat_Pack2(x, (unsigned char*)p, le); }
 
-PYCAPI_COMPAT_STATIC_INLINE(double)
-PyFloat_Unpack2(const char *p, int le)
+static inline double PyFloat_Unpack2(const char *p, int le)
 { return _PyFloat_Unpack2((const unsigned char *)p, le); }
 #endif
 
@@ -453,34 +485,54 @@ PyFloat_Unpack2(const char *p, int le)
 // and _PyFloat_Unpack8() to the internal C API: Python 3.11a2-3.11a6 versions
 // are not supported.
 #if PY_VERSION_HEX <= 0x030B00A1 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(int)
-PyFloat_Pack4(double x, char *p, int le)
+static inline int PyFloat_Pack4(double x, char *p, int le)
 { return _PyFloat_Pack4(x, (unsigned char*)p, le); }
 
-PYCAPI_COMPAT_STATIC_INLINE(int)
-PyFloat_Pack8(double x, char *p, int le)
+static inline int PyFloat_Pack8(double x, char *p, int le)
 { return _PyFloat_Pack8(x, (unsigned char*)p, le); }
 
-PYCAPI_COMPAT_STATIC_INLINE(double)
-PyFloat_Unpack4(const char *p, int le)
+static inline double PyFloat_Unpack4(const char *p, int le)
 { return _PyFloat_Unpack4((const unsigned char *)p, le); }
 
-PYCAPI_COMPAT_STATIC_INLINE(double)
-PyFloat_Unpack8(const char *p, int le)
+static inline double PyFloat_Unpack8(const char *p, int le)
 { return _PyFloat_Unpack8((const unsigned char *)p, le); }
 #endif
 
 
 // gh-92154 added PyCode_GetCode() to Python 3.11.0b1
 #if PY_VERSION_HEX < 0x030B00B1 && !defined(PYPY_VERSION)
-PYCAPI_COMPAT_STATIC_INLINE(PyObject*)
-PyCode_GetCode(PyCodeObject *code)
+static inline PyObject* PyCode_GetCode(PyCodeObject *code)
 {
     return Py_NewRef(code->co_code);
 }
 #endif
 
 
+// gh-95008 added PyCode_GetVarnames() to Python 3.11.0rc1
+#if PY_VERSION_HEX < 0x030B00C1 && !defined(PYPY_VERSION)
+static inline PyObject* PyCode_GetVarnames(PyCodeObject *code)
+{
+    return Py_NewRef(code->co_varnames);
+}
+#endif
+
+// gh-95008 added PyCode_GetFreevars() to Python 3.11.0rc1
+#if PY_VERSION_HEX < 0x030B00C1 && !defined(PYPY_VERSION)
+static inline PyObject* PyCode_GetFreevars(PyCodeObject *code)
+{
+    return Py_NewRef(code->co_freevars);
+}
+#endif
+
+// gh-95008 added PyCode_GetCellvars() to Python 3.11.0rc1
+#if PY_VERSION_HEX < 0x030B00C1 && !defined(PYPY_VERSION)
+static inline PyObject* PyCode_GetCellvars(PyCodeObject *code)
+{
+    return Py_NewRef(code->co_cellvars);
+}
+#endif
+
+
 // Py_UNUSED() was added to Python 3.4.0b2.
 #if PY_VERSION_HEX < 0x030400B2 && !defined(Py_UNUSED)
 #  if defined(__GNUC__) || defined(__clang__)
@@ -491,6 +543,817 @@ PyCode_GetCode(PyCodeObject *code)
 #endif
 
 
+// gh-105922 added PyImport_AddModuleRef() to Python 3.13.0a1
+#if PY_VERSION_HEX < 0x030D00A0
+static inline PyObject* PyImport_AddModuleRef(const char *name)
+{
+    return Py_XNewRef(PyImport_AddModule(name));
+}
+#endif
+
+
+// gh-105927 added PyWeakref_GetRef() to Python 3.13.0a1
+#if PY_VERSION_HEX < 0x030D0000
+static inline int PyWeakref_GetRef(PyObject *ref, PyObject **pobj)
+{
+    PyObject *obj;
+    if (ref != NULL && !PyWeakref_Check(ref)) {
+        *pobj = NULL;
+        PyErr_SetString(PyExc_TypeError, "expected a weakref");
+        return -1;
+    }
+    obj = PyWeakref_GetObject(ref);
+    if (obj == NULL) {
+        // SystemError if ref is NULL
+        *pobj = NULL;
+        return -1;
+    }
+    if (obj == Py_None) {
+        *pobj = NULL;
+        return 0;
+    }
+    *pobj = Py_NewRef(obj);
+    return (*pobj != NULL);
+}
+#endif
+
+
+// bpo-36974 added PY_VECTORCALL_ARGUMENTS_OFFSET to Python 3.8b1
+#ifndef PY_VECTORCALL_ARGUMENTS_OFFSET
+#  define PY_VECTORCALL_ARGUMENTS_OFFSET (_Py_CAST(size_t, 1) << (8 * sizeof(size_t) - 1))
+#endif
+
+// bpo-36974 added PyVectorcall_NARGS() to Python 3.8b1
+#if PY_VERSION_HEX < 0x030800B1
+static inline Py_ssize_t PyVectorcall_NARGS(size_t n)
+{
+    return n & ~PY_VECTORCALL_ARGUMENTS_OFFSET;
+}
+#endif
+
+
+// gh-105922 added PyObject_Vectorcall() to Python 3.9.0a4
+#if PY_VERSION_HEX < 0x030900A4
+static inline PyObject*
+PyObject_Vectorcall(PyObject *callable, PyObject *const *args,
+                     size_t nargsf, PyObject *kwnames)
+{
+#if PY_VERSION_HEX >= 0x030800B1 && !defined(PYPY_VERSION)
+    // bpo-36974 added _PyObject_Vectorcall() to Python 3.8.0b1
+    return _PyObject_Vectorcall(callable, args, nargsf, kwnames);
+#else
+    PyObject *posargs = NULL, *kwargs = NULL;
+    PyObject *res;
+    Py_ssize_t nposargs, nkwargs, i;
+
+    if (nargsf != 0 && args == NULL) {
+        PyErr_BadInternalCall();
+        goto error;
+    }
+    if (kwnames != NULL && !PyTuple_Check(kwnames)) {
+        PyErr_BadInternalCall();
+        goto error;
+    }
+
+    nposargs = (Py_ssize_t)PyVectorcall_NARGS(nargsf);
+    if (kwnames) {
+        nkwargs = PyTuple_GET_SIZE(kwnames);
+    }
+    else {
+        nkwargs = 0;
+    }
+
+    posargs = PyTuple_New(nposargs);
+    if (posargs == NULL) {
+        goto error;
+    }
+    if (nposargs) {
+        for (i=0; i < nposargs; i++) {
+            PyTuple_SET_ITEM(posargs, i, Py_NewRef(*args));
+            args++;
+        }
+    }
+
+    if (nkwargs) {
+        kwargs = PyDict_New();
+        if (kwargs == NULL) {
+            goto error;
+        }
+
+        for (i = 0; i < nkwargs; i++) {
+            PyObject *key = PyTuple_GET_ITEM(kwnames, i);
+            PyObject *value = *args;
+            args++;
+            if (PyDict_SetItem(kwargs, key, value) < 0) {
+                goto error;
+            }
+        }
+    }
+    else {
+        kwargs = NULL;
+    }
+
+    res = PyObject_Call(callable, posargs, kwargs);
+    Py_DECREF(posargs);
+    Py_XDECREF(kwargs);
+    return res;
+
+error:
+    Py_DECREF(posargs);
+    Py_XDECREF(kwargs);
+    return NULL;
+#endif
+}
+#endif
+
+
+// gh-106521 added PyObject_GetOptionalAttr() and
+// PyObject_GetOptionalAttrString() to Python 3.13.0a1
+#if PY_VERSION_HEX < 0x030D00A1
+static inline int
+PyObject_GetOptionalAttr(PyObject *obj, PyObject *attr_name, PyObject **result)
+{
+    // bpo-32571 added _PyObject_LookupAttr() to Python 3.7.0b1
+#if PY_VERSION_HEX >= 0x030700B1 && !defined(PYPY_VERSION)
+    return _PyObject_LookupAttr(obj, attr_name, result);
+#else
+    *result = PyObject_GetAttr(obj, attr_name);
+    if (*result != NULL) {
+        return 1;
+    }
+    if (!PyErr_Occurred()) {
+        return 0;
+    }
+    if (PyErr_ExceptionMatches(PyExc_AttributeError)) {
+        PyErr_Clear();
+        return 0;
+    }
+    return -1;
+#endif
+}
+
+static inline int
+PyObject_GetOptionalAttrString(PyObject *obj, const char *attr_name, PyObject **result)
+{
+    PyObject *name_obj;
+    int rc;
+#if PY_VERSION_HEX >= 0x03000000
+    name_obj = PyUnicode_FromString(attr_name);
+#else
+    name_obj = PyString_FromString(attr_name);
+#endif
+    if (name_obj == NULL) {
+        *result = NULL;
+        return -1;
+    }
+    rc = PyObject_GetOptionalAttr(obj, name_obj, result);
+    Py_DECREF(name_obj);
+    return rc;
+}
+#endif
+
+
+// gh-106307 added PyObject_GetOptionalAttr() and
+// PyMapping_GetOptionalItemString() to Python 3.13.0a1
+#if PY_VERSION_HEX < 0x030D00A1
+static inline int
+PyMapping_GetOptionalItem(PyObject *obj, PyObject *key, PyObject **result)
+{
+    *result = PyObject_GetItem(obj, key);
+    if (*result) {
+        return 1;
+    }
+    if (!PyErr_ExceptionMatches(PyExc_KeyError)) {
+        return -1;
+    }
+    PyErr_Clear();
+    return 0;
+}
+
+static inline int
+PyMapping_GetOptionalItemString(PyObject *obj, const char *key, PyObject **result)
+{
+    PyObject *key_obj;
+    int rc;
+#if PY_VERSION_HEX >= 0x03000000
+    key_obj = PyUnicode_FromString(key);
+#else
+    key_obj = PyString_FromString(key);
+#endif
+    if (key_obj == NULL) {
+        *result = NULL;
+        return -1;
+    }
+    rc = PyMapping_GetOptionalItem(obj, key_obj, result);
+    Py_DECREF(key_obj);
+    return rc;
+}
+#endif
+
+// gh-108511 added PyMapping_HasKeyWithError() and
+// PyMapping_HasKeyStringWithError() to Python 3.13.0a1
+#if PY_VERSION_HEX < 0x030D00A1
+static inline int
+PyMapping_HasKeyWithError(PyObject *obj, PyObject *key)
+{
+    PyObject *res;
+    int rc = PyMapping_GetOptionalItem(obj, key, &res);
+    Py_XDECREF(res);
+    return rc;
+}
+
+static inline int
+PyMapping_HasKeyStringWithError(PyObject *obj, const char *key)
+{
+    PyObject *res;
+    int rc = PyMapping_GetOptionalItemString(obj, key, &res);
+    Py_XDECREF(res);
+    return rc;
+}
+#endif
+
+
+// gh-108511 added PyObject_HasAttrWithError() and
+// PyObject_HasAttrStringWithError() to Python 3.13.0a1
+#if PY_VERSION_HEX < 0x030D00A1
+static inline int
+PyObject_HasAttrWithError(PyObject *obj, PyObject *attr)
+{
+    PyObject *res;
+    int rc = PyObject_GetOptionalAttr(obj, attr, &res);
+    Py_XDECREF(res);
+    return rc;
+}
+
+static inline int
+PyObject_HasAttrStringWithError(PyObject *obj, const char *attr)
+{
+    PyObject *res;
+    int rc = PyObject_GetOptionalAttrString(obj, attr, &res);
+    Py_XDECREF(res);
+    return rc;
+}
+#endif
+
+
+// gh-106004 added PyDict_GetItemRef() and PyDict_GetItemStringRef()
+// to Python 3.13.0a1
+#if PY_VERSION_HEX < 0x030D00A1
+static inline int
+PyDict_GetItemRef(PyObject *mp, PyObject *key, PyObject **result)
+{
+#if PY_VERSION_HEX >= 0x03000000
+    PyObject *item = PyDict_GetItemWithError(mp, key);
+#else
+    PyObject *item = _PyDict_GetItemWithError(mp, key);
+#endif
+    if (item != NULL) {
+        *result = Py_NewRef(item);
+        return 1;  // found
+    }
+    if (!PyErr_Occurred()) {
+        *result = NULL;
+        return 0;  // not found
+    }
+    *result = NULL;
+    return -1;
+}
+
+static inline int
+PyDict_GetItemStringRef(PyObject *mp, const char *key, PyObject **result)
+{
+    int res;
+#if PY_VERSION_HEX >= 0x03000000
+    PyObject *key_obj = PyUnicode_FromString(key);
+#else
+    PyObject *key_obj = PyString_FromString(key);
+#endif
+    if (key_obj == NULL) {
+        *result = NULL;
+        return -1;
+    }
+    res = PyDict_GetItemRef(mp, key_obj, result);
+    Py_DECREF(key_obj);
+    return res;
+}
+#endif
+
+
+// gh-106307 added PyModule_Add() to Python 3.13.0a1
+#if PY_VERSION_HEX < 0x030D00A1
+static inline int
+PyModule_Add(PyObject *mod, const char *name, PyObject *value)
+{
+    int res = PyModule_AddObjectRef(mod, name, value);
+    Py_XDECREF(value);
+    return res;
+}
+#endif
+
+
+// gh-108014 added Py_IsFinalizing() to Python 3.13.0a1
+// bpo-1856 added _Py_Finalizing to Python 3.2.1b1.
+// _Py_IsFinalizing() was added to PyPy 7.3.0.
+#if (0x030201B1 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x030D00A1) \
+        && (!defined(PYPY_VERSION_NUM) || PYPY_VERSION_NUM >= 0x7030000)
+static inline int Py_IsFinalizing(void)
+{
+#if PY_VERSION_HEX >= 0x030700A1
+    // _Py_IsFinalizing() was added to Python 3.7.0a1.
+    return _Py_IsFinalizing();
+#else
+    return (_Py_Finalizing != NULL);
+#endif
+}
+#endif
+
+
+// gh-108323 added PyDict_ContainsString() to Python 3.13.0a1
+#if PY_VERSION_HEX < 0x030D00A1
+static inline int PyDict_ContainsString(PyObject *op, const char *key)
+{
+    PyObject *key_obj = PyUnicode_FromString(key);
+    if (key_obj == NULL) {
+        return -1;
+    }
+    int res = PyDict_Contains(op, key_obj);
+    Py_DECREF(key_obj);
+    return res;
+}
+#endif
+
+
+// gh-108445 added PyLong_AsInt() to Python 3.13.0a1
+#if PY_VERSION_HEX < 0x030D00A1
+static inline int PyLong_AsInt(PyObject *obj)
+{
+#ifdef PYPY_VERSION
+    long value = PyLong_AsLong(obj);
+    if (value == -1 && PyErr_Occurred()) {
+        return -1;
+    }
+    if (value < (long)INT_MIN || (long)INT_MAX < value) {
+        PyErr_SetString(PyExc_OverflowError,
+                        "Python int too large to convert to C int");
+        return -1;
+    }
+    return (int)value;
+#else
+    return _PyLong_AsInt(obj);
+#endif
+}
+#endif
+
+
+// gh-107073 added PyObject_VisitManagedDict() to Python 3.13.0a1
+#if PY_VERSION_HEX < 0x030D00A1
+static inline int
+PyObject_VisitManagedDict(PyObject *obj, visitproc visit, void *arg)
+{
+    PyObject **dict = _PyObject_GetDictPtr(obj);
+    if (*dict == NULL) {
+        return -1;
+    }
+    Py_VISIT(*dict);
+    return 0;
+}
+
+static inline void
+PyObject_ClearManagedDict(PyObject *obj)
+{
+    PyObject **dict = _PyObject_GetDictPtr(obj);
+    if (*dict == NULL) {
+        return;
+    }
+    Py_CLEAR(*dict);
+}
+#endif
+
+// gh-108867 added PyThreadState_GetUnchecked() to Python 3.13.0a1
+// Python 3.5.2 added _PyThreadState_UncheckedGet().
+#if PY_VERSION_HEX >= 0x03050200 && PY_VERSION_HEX < 0x030D00A1
+static inline PyThreadState*
+PyThreadState_GetUnchecked(void)
+{
+    return _PyThreadState_UncheckedGet();
+}
+#endif
+
+// gh-110289 added PyUnicode_EqualToUTF8() and PyUnicode_EqualToUTF8AndSize()
+// to Python 3.13.0a1
+#if PY_VERSION_HEX < 0x030D00A1
+static inline int
+PyUnicode_EqualToUTF8AndSize(PyObject *unicode, const char *str, Py_ssize_t str_len)
+{
+    Py_ssize_t len;
+    const void *utf8;
+    PyObject *exc_type, *exc_value, *exc_tb;
+    int res;
+
+    // API cannot report errors so save/restore the exception
+    PyErr_Fetch(&exc_type, &exc_value, &exc_tb);
+
+    // Python 3.3.0a1 added PyUnicode_AsUTF8AndSize()
+#if PY_VERSION_HEX >= 0x030300A1
+    if (PyUnicode_IS_ASCII(unicode)) {
+        utf8 = PyUnicode_DATA(unicode);
+        len = PyUnicode_GET_LENGTH(unicode);
+    }
+    else {
+        utf8 = PyUnicode_AsUTF8AndSize(unicode, &len);
+        if (utf8 == NULL) {
+            // Memory allocation failure. The API cannot report error,
+            // so ignore the exception and return 0.
+            res = 0;
+            goto done;
+        }
+    }
+
+    if (len != str_len) {
+        res = 0;
+        goto done;
+    }
+    res = (memcmp(utf8, str, (size_t)len) == 0);
+#else
+    PyObject *bytes = PyUnicode_AsUTF8String(unicode);
+    if (bytes == NULL) {
+        // Memory allocation failure. The API cannot report error,
+        // so ignore the exception and return 0.
+        res = 0;
+        goto done;
+    }
+
+#if PY_VERSION_HEX >= 0x03000000
+    len = PyBytes_GET_SIZE(bytes);
+    utf8 = PyBytes_AS_STRING(bytes);
+#else
+    len = PyString_GET_SIZE(bytes);
+    utf8 = PyString_AS_STRING(bytes);
+#endif
+    if (len != str_len) {
+        Py_DECREF(bytes);
+        res = 0;
+        goto done;
+    }
+
+    res = (memcmp(utf8, str, (size_t)len) == 0);
+    Py_DECREF(bytes);
+#endif
+
+done:
+    PyErr_Restore(exc_type, exc_value, exc_tb);
+    return res;
+}
+
+static inline int
+PyUnicode_EqualToUTF8(PyObject *unicode, const char *str)
+{
+    return PyUnicode_EqualToUTF8AndSize(unicode, str, (Py_ssize_t)strlen(str));
+}
+#endif
+
+
+// gh-111138 added PyList_Extend() and PyList_Clear() to Python 3.13.0a2
+#if PY_VERSION_HEX < 0x030D00A2
+static inline int
+PyList_Extend(PyObject *list, PyObject *iterable)
+{
+    return PyList_SetSlice(list, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, iterable);
+}
+
+static inline int
+PyList_Clear(PyObject *list)
+{
+    return PyList_SetSlice(list, 0, PY_SSIZE_T_MAX, NULL);
+}
+#endif
+
+// gh-111262 added PyDict_Pop() and PyDict_PopString() to Python 3.13.0a2
+#if PY_VERSION_HEX < 0x030D00A2
+static inline int
+PyDict_Pop(PyObject *dict, PyObject *key, PyObject **result)
+{
+    PyObject *value;
+
+    if (!PyDict_Check(dict)) {
+        PyErr_BadInternalCall();
+        if (result) {
+            *result = NULL;
+        }
+        return -1;
+    }
+
+    // bpo-16991 added _PyDict_Pop() to Python 3.5.0b2.
+    // Python 3.6.0b3 changed _PyDict_Pop() first argument type to PyObject*.
+    // Python 3.13.0a1 removed _PyDict_Pop().
+#if defined(PYPY_VERSION) || PY_VERSION_HEX < 0x030500b2 || PY_VERSION_HEX >= 0x030D0000
+    value = PyObject_CallMethod(dict, "pop", "O", key);
+#elif PY_VERSION_HEX < 0x030600b3
+    value = _PyDict_Pop(_Py_CAST(PyDictObject*, dict), key, NULL);
+#else
+    value = _PyDict_Pop(dict, key, NULL);
+#endif
+    if (value == NULL) {
+        if (result) {
+            *result = NULL;
+        }
+        if (PyErr_Occurred() && !PyErr_ExceptionMatches(PyExc_KeyError)) {
+            return -1;
+        }
+        PyErr_Clear();
+        return 0;
+    }
+    if (result) {
+        *result = value;
+    }
+    else {
+        Py_DECREF(value);
+    }
+    return 1;
+}
+
+static inline int
+PyDict_PopString(PyObject *dict, const char *key, PyObject **result)
+{
+    PyObject *key_obj = PyUnicode_FromString(key);
+    if (key_obj == NULL) {
+        if (result != NULL) {
+            *result = NULL;
+        }
+        return -1;
+    }
+
+    int res = PyDict_Pop(dict, key_obj, result);
+    Py_DECREF(key_obj);
+    return res;
+}
+#endif
+
+
+#if PY_VERSION_HEX < 0x030200A4
+// Python 3.2.0a4 added Py_hash_t type
+typedef Py_ssize_t Py_hash_t;
+#endif
+
+
+// gh-111545 added Py_HashPointer() to Python 3.13.0a3
+#if PY_VERSION_HEX < 0x030D00A3
+static inline Py_hash_t Py_HashPointer(const void *ptr)
+{
+#if PY_VERSION_HEX >= 0x030900A4 && !defined(PYPY_VERSION)
+    return _Py_HashPointer(ptr);
+#else
+    return _Py_HashPointer(_Py_CAST(void*, ptr));
+#endif
+}
+#endif
+
+
+// Python 3.13a4 added a PyTime API.
+// Use the private API added to Python 3.5.
+#if PY_VERSION_HEX < 0x030D00A4 && PY_VERSION_HEX  >= 0x03050000
+typedef _PyTime_t PyTime_t;
+#define PyTime_MIN _PyTime_MIN
+#define PyTime_MAX _PyTime_MAX
+
+static inline double PyTime_AsSecondsDouble(PyTime_t t)
+{ return _PyTime_AsSecondsDouble(t); }
+
+static inline int PyTime_Monotonic(PyTime_t *result)
+{ return _PyTime_GetMonotonicClockWithInfo(result, NULL); }
+
+static inline int PyTime_Time(PyTime_t *result)
+{ return _PyTime_GetSystemClockWithInfo(result, NULL); }
+
+static inline int PyTime_PerfCounter(PyTime_t *result)
+{
+#if PY_VERSION_HEX >= 0x03070000 && !defined(PYPY_VERSION)
+    return _PyTime_GetPerfCounterWithInfo(result, NULL);
+#elif PY_VERSION_HEX >= 0x03070000
+    // Call time.perf_counter_ns() and convert Python int object to PyTime_t.
+    // Cache time.perf_counter_ns() function for best performance.
+    static PyObject *func = NULL;
+    if (func == NULL) {
+        PyObject *mod = PyImport_ImportModule("time");
+        if (mod == NULL) {
+            return -1;
+        }
+
+        func = PyObject_GetAttrString(mod, "perf_counter_ns");
+        Py_DECREF(mod);
+        if (func == NULL) {
+            return -1;
+        }
+    }
+
+    PyObject *res = PyObject_CallNoArgs(func);
+    if (res == NULL) {
+        return -1;
+    }
+    long long value = PyLong_AsLongLong(res);
+    Py_DECREF(res);
+
+    if (value == -1 && PyErr_Occurred()) {
+        return -1;
+    }
+
+    Py_BUILD_ASSERT(sizeof(value) >= sizeof(PyTime_t));
+    *result = (PyTime_t)value;
+    return 0;
+#else
+    // Call time.perf_counter() and convert C double to PyTime_t.
+    // Cache time.perf_counter() function for best performance.
+    static PyObject *func = NULL;
+    if (func == NULL) {
+        PyObject *mod = PyImport_ImportModule("time");
+        if (mod == NULL) {
+            return -1;
+        }
+
+        func = PyObject_GetAttrString(mod, "perf_counter");
+        Py_DECREF(mod);
+        if (func == NULL) {
+            return -1;
+        }
+    }
+
+    PyObject *res = PyObject_CallNoArgs(func);
+    if (res == NULL) {
+        return -1;
+    }
+    double d = PyFloat_AsDouble(res);
+    Py_DECREF(res);
+
+    if (d == -1.0 && PyErr_Occurred()) {
+        return -1;
+    }
+
+    // Avoid floor() to avoid having to link to libm
+    *result = (PyTime_t)(d * 1e9);
+    return 0;
+#endif
+}
+
+#endif
+
+// gh-111389 added hash constants to Python 3.13.0a5. These constants were
+// added first as private macros to Python 3.4.0b1 and PyPy 7.3.9.
+#if (!defined(PyHASH_BITS) \
+     && ((!defined(PYPY_VERSION) && PY_VERSION_HEX >= 0x030400B1) \
+         || (defined(PYPY_VERSION) && PY_VERSION_HEX >= 0x03070000 \
+             && PYPY_VERSION_NUM >= 0x07090000)))
+#  define PyHASH_BITS _PyHASH_BITS
+#  define PyHASH_MODULUS _PyHASH_MODULUS
+#  define PyHASH_INF _PyHASH_INF
+#  define PyHASH_IMAG _PyHASH_IMAG
+#endif
+
+
+// gh-111545 added Py_GetConstant() and Py_GetConstantBorrowed()
+// to Python 3.13.0a6
+#if PY_VERSION_HEX < 0x030D00A6 && !defined(Py_CONSTANT_NONE)
+
+#define Py_CONSTANT_NONE 0
+#define Py_CONSTANT_FALSE 1
+#define Py_CONSTANT_TRUE 2
+#define Py_CONSTANT_ELLIPSIS 3
+#define Py_CONSTANT_NOT_IMPLEMENTED 4
+#define Py_CONSTANT_ZERO 5
+#define Py_CONSTANT_ONE 6
+#define Py_CONSTANT_EMPTY_STR 7
+#define Py_CONSTANT_EMPTY_BYTES 8
+#define Py_CONSTANT_EMPTY_TUPLE 9
+
+static inline PyObject* Py_GetConstant(unsigned int constant_id)
+{
+    static PyObject* constants[Py_CONSTANT_EMPTY_TUPLE + 1] = {NULL};
+
+    if (constants[Py_CONSTANT_NONE] == NULL) {
+        constants[Py_CONSTANT_NONE] = Py_None;
+        constants[Py_CONSTANT_FALSE] = Py_False;
+        constants[Py_CONSTANT_TRUE] = Py_True;
+        constants[Py_CONSTANT_ELLIPSIS] = Py_Ellipsis;
+        constants[Py_CONSTANT_NOT_IMPLEMENTED] = Py_NotImplemented;
+
+        constants[Py_CONSTANT_ZERO] = PyLong_FromLong(0);
+        if (constants[Py_CONSTANT_ZERO] == NULL) {
+            goto fatal_error;
+        }
+
+        constants[Py_CONSTANT_ONE] = PyLong_FromLong(1);
+        if (constants[Py_CONSTANT_ONE] == NULL) {
+            goto fatal_error;
+        }
+
+        constants[Py_CONSTANT_EMPTY_STR] = PyUnicode_FromStringAndSize("", 0);
+        if (constants[Py_CONSTANT_EMPTY_STR] == NULL) {
+            goto fatal_error;
+        }
+
+        constants[Py_CONSTANT_EMPTY_BYTES] = PyBytes_FromStringAndSize("", 0);
+        if (constants[Py_CONSTANT_EMPTY_BYTES] == NULL) {
+            goto fatal_error;
+        }
+
+        constants[Py_CONSTANT_EMPTY_TUPLE] = PyTuple_New(0);
+        if (constants[Py_CONSTANT_EMPTY_TUPLE] == NULL) {
+            goto fatal_error;
+        }
+        // goto dance to avoid compiler warnings about Py_FatalError()
+        goto init_done;
+
+fatal_error:
+        // This case should never happen
+        Py_FatalError("Py_GetConstant() failed to get constants");
+    }
+
+init_done:
+    if (constant_id <= Py_CONSTANT_EMPTY_TUPLE) {
+        return Py_NewRef(constants[constant_id]);
+    }
+    else {
+        PyErr_BadInternalCall();
+        return NULL;
+    }
+}
+
+static inline PyObject* Py_GetConstantBorrowed(unsigned int constant_id)
+{
+    PyObject *obj = Py_GetConstant(constant_id);
+    Py_XDECREF(obj);
+    return obj;
+}
+#endif
+
+
+// gh-114329 added PyList_GetItemRef() to Python 3.13.0a4
+#if PY_VERSION_HEX < 0x030D00A4
+static inline PyObject *
+PyList_GetItemRef(PyObject *op, Py_ssize_t index)
+{
+    PyObject *item = PyList_GetItem(op, index);
+    Py_XINCREF(item);
+    return item;
+}
+#endif
+
+
+// gh-114329 added PyList_GetItemRef() to Python 3.13.0a4
+#if PY_VERSION_HEX < 0x030D00A4
+static inline int
+PyDict_SetDefaultRef(PyObject *d, PyObject *key, PyObject *default_value,
+                     PyObject **result)
+{
+    PyObject *value;
+    if (PyDict_GetItemRef(d, key, &value) < 0) {
+        // get error
+        if (result) {
+            *result = NULL;
+        }
+        return -1;
+    }
+    if (value != NULL) {
+        // present
+        if (result) {
+            *result = value;
+        }
+        else {
+            Py_DECREF(value);
+        }
+        return 1;
+    }
+
+    // missing: set the item
+    if (PyDict_SetItem(d, key, default_value) < 0) {
+        // set error
+        if (result) {
+            *result = NULL;
+        }
+        return -1;
+    }
+    if (result) {
+        *result = Py_NewRef(default_value);
+    }
+    return 0;
+}
+#endif
+
+
+// gh-116560 added PyLong_GetSign() to Python 3.14a4
+#if PY_VERSION_HEX < 0x030E00A1
+static inline int PyLong_GetSign(PyObject *obj, int *sign)
+{
+    if (!PyLong_Check(obj)) {
+        PyErr_Format(PyExc_TypeError, "expect int, got %s", Py_TYPE(obj)->tp_name);
+        return -1;
+    }
+
+    *sign = _PyLong_Sign(obj);
+    return 0;
+}
+#endif
+
+
 #ifdef __cplusplus
 }
 #endif