/////////////// FixUpExtensionType.proto ///////////////

#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type); /*proto*/
#endif

/////////////// FixUpExtensionType ///////////////
//@requires:ModuleSetupCode.c::IncludeStructmemberH
//@requires:StringTools.c::IncludeStringH

#if CYTHON_USE_TYPE_SPECS
static int __Pyx_fix_up_extension_type_from_spec(PyType_Spec *spec, PyTypeObject *type) {
#if PY_VERSION_HEX > 0x030900B1 || CYTHON_COMPILING_IN_LIMITED_API
    CYTHON_UNUSED_VAR(spec);
    CYTHON_UNUSED_VAR(type);
#else
    // Set tp_weakreflist, tp_dictoffset, tp_vectorcalloffset
    // Copied and adapted from https://bugs.python.org/issue38140
    const PyType_Slot *slot = spec->slots;
    while (slot && slot->slot && slot->slot != Py_tp_members)
        slot++;
    if (slot && slot->slot == Py_tp_members) {
        int changed = 0;
#if !(PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON)
        const
#endif
            PyMemberDef *memb = (PyMemberDef*) slot->pfunc;
        while (memb && memb->name) {
            if (memb->name[0] == '_' && memb->name[1] == '_') {
#if PY_VERSION_HEX < 0x030900b1
                if (strcmp(memb->name, "__weaklistoffset__") == 0) {
                    // The PyMemberDef must be a Py_ssize_t and readonly.
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_weaklistoffset = memb->offset;
                    // FIXME: is it even worth calling PyType_Modified() here?
                    changed = 1;
                }
                else if (strcmp(memb->name, "__dictoffset__") == 0) {
                    // The PyMemberDef must be a Py_ssize_t and readonly.
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
                    type->tp_dictoffset = memb->offset;
                    // FIXME: is it even worth calling PyType_Modified() here?
                    changed = 1;
                }
#if CYTHON_METH_FASTCALL
                else if (strcmp(memb->name, "__vectorcalloffset__") == 0) {
                    // The PyMemberDef must be a Py_ssize_t and readonly.
                    assert(memb->type == T_PYSSIZET);
                    assert(memb->flags == READONLY);
#if PY_VERSION_HEX >= 0x030800b4
                    type->tp_vectorcall_offset = memb->offset;
#else
                    type->tp_print = (printfunc) memb->offset;
#endif
                    // FIXME: is it even worth calling PyType_Modified() here?
                    changed = 1;
                }
#endif
#else
                if ((0));
#endif
#if PY_VERSION_HEX <= 0x030900b1 && CYTHON_COMPILING_IN_CPYTHON
                else if (strcmp(memb->name, "__module__") == 0) {
                    // PyType_FromSpec() in CPython <= 3.9b1 overwrites this field with a constant string.
                    // See https://bugs.python.org/issue40703
                    PyObject *descr;
                    // The PyMemberDef must be an object and normally readable, possibly writable.
                    assert(memb->type == T_OBJECT);
                    assert(memb->flags == 0 || memb->flags == READONLY);
                    descr = PyDescr_NewMember(type, memb);
                    if (unlikely(!descr))
                        return -1;
                    if (unlikely(PyDict_SetItem(type->tp_dict, PyDescr_NAME(descr), descr) < 0)) {
                        Py_DECREF(descr);
                        return -1;
                    }
                    Py_DECREF(descr);
                    changed = 1;
                }
#endif
            }
            memb++;
        }
        if (changed)
            PyType_Modified(type);
    }
#endif
    return 0;
}
#endif


/////////////// ValidateBasesTuple.proto ///////////////

#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases); /*proto*/
#endif

/////////////// ValidateBasesTuple ///////////////

#if CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API || CYTHON_USE_TYPE_SPECS
static int __Pyx_validate_bases_tuple(const char *type_name, Py_ssize_t dictoffset, PyObject *bases) {
    // Loop over all bases (except the first) and check that those
    // really are heap types. Otherwise, it would not be safe to
    // subclass them.
    //
    // We also check tp_dictoffset: it is unsafe to inherit
    // tp_dictoffset from a base class because the object structures
    // would not be compatible. So, if our extension type doesn't set
    // tp_dictoffset (i.e. there is no __dict__ attribute in the object
    // structure), we need to check that none of the base classes sets
    // it either.
    Py_ssize_t i, n = PyTuple_GET_SIZE(bases);
    for (i = 1; i < n; i++)  /* Skip first base */
    {
        PyObject *b0 = PyTuple_GET_ITEM(bases, i);
        PyTypeObject *b;
#if PY_MAJOR_VERSION < 3
        /* Disallow old-style classes */
        if (PyClass_Check(b0))
        {
            PyErr_Format(PyExc_TypeError, "base class '%.200s' is an old-style class",
                         PyString_AS_STRING(((PyClassObject*)b0)->cl_name));
            return -1;
        }
#endif
        b = (PyTypeObject*) b0;
        if (!__Pyx_PyType_HasFeature(b, Py_TPFLAGS_HEAPTYPE))
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetName(b);
            PyErr_Format(PyExc_TypeError,
                "base class '" __Pyx_FMT_TYPENAME "' is not a heap type", b_name);
            __Pyx_DECREF_TypeName(b_name);
            return -1;
        }
        if (dictoffset == 0 && b->tp_dictoffset)
        {
            __Pyx_TypeName b_name = __Pyx_PyType_GetName(b);
            PyErr_Format(PyExc_TypeError,
                "extension type '%.200s' has no __dict__ slot, "
                "but base type '" __Pyx_FMT_TYPENAME "' has: "
                "either add 'cdef dict __dict__' to the extension type "
                "or add '__slots__ = [...]' to the base type",
                type_name, b_name);
            __Pyx_DECREF_TypeName(b_name);
            return -1;
        }
    }
    return 0;
}
#endif


/////////////// PyType_Ready.proto ///////////////

// unused when using type specs
CYTHON_UNUSED static int __Pyx_PyType_Ready(PyTypeObject *t);/*proto*/

/////////////// PyType_Ready ///////////////
//@requires: ObjectHandling.c::PyObjectCallMethod0
//@requires: ValidateBasesTuple

// Wrapper around PyType_Ready() with some runtime checks and fixes
// to deal with multiple inheritance.
static int __Pyx_PyType_Ready(PyTypeObject *t) {

// FIXME: is this really suitable for CYTHON_COMPILING_IN_LIMITED_API?
#if CYTHON_USE_TYPE_SPECS || !(CYTHON_COMPILING_IN_CPYTHON || CYTHON_COMPILING_IN_LIMITED_API) || defined(PYSTON_MAJOR_VERSION)
    // avoid C warning about unused helper function
    (void)__Pyx_PyObject_CallMethod0;
#if CYTHON_USE_TYPE_SPECS
    (void)__Pyx_validate_bases_tuple;
#endif

    return PyType_Ready(t);

#else
    int r;
    PyObject *bases = __Pyx_PyType_GetSlot(t, tp_bases, PyObject*);
    if (bases && unlikely(__Pyx_validate_bases_tuple(t->tp_name, t->tp_dictoffset, bases) == -1))
        return -1;

#if PY_VERSION_HEX >= 0x03050000 && !defined(PYSTON_MAJOR_VERSION)
    {
        // Make sure GC does not pick up our non-heap type as heap type with this hack!
        // For details, see https://github.com/cython/cython/issues/3603
        int gc_was_enabled;
    #if PY_VERSION_HEX >= 0x030A00b1
        // finally added in Py3.10 :)
        gc_was_enabled = PyGC_Disable();
        (void)__Pyx_PyObject_CallMethod0;

    #else
        // Call gc.disable() as a backwards compatible fallback, but only if needed.
        PyObject *ret, *py_status;
        PyObject *gc = NULL;
        #if PY_VERSION_HEX >= 0x030700a1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM+0 >= 0x07030400)
        // https://foss.heptapod.net/pypy/pypy/-/issues/3385
        gc = PyImport_GetModule(PYUNICODE("gc"));
        #endif
        if (unlikely(!gc)) gc = PyImport_Import(PYUNICODE("gc"));
        if (unlikely(!gc)) return -1;
        py_status = __Pyx_PyObject_CallMethod0(gc, PYUNICODE("isenabled"));
        if (unlikely(!py_status)) {
            Py_DECREF(gc);
            return -1;
        }
        gc_was_enabled = __Pyx_PyObject_IsTrue(py_status);
        Py_DECREF(py_status);
        if (gc_was_enabled > 0) {
            ret = __Pyx_PyObject_CallMethod0(gc, PYUNICODE("disable"));
            if (unlikely(!ret)) {
                Py_DECREF(gc);
                return -1;
            }
            Py_DECREF(ret);
        } else if (unlikely(gc_was_enabled == -1)) {
            Py_DECREF(gc);
            return -1;
        }
    #endif

        // As of https://bugs.python.org/issue22079
        // PyType_Ready enforces that all bases of a non-heap type are
        // non-heap. We know that this is the case for the solid base but
        // other bases are heap allocated and are kept alive through the
        // tp_bases reference.
        // Other than this check, the Py_TPFLAGS_HEAPTYPE flag is unused
        // in PyType_Ready().
        t->tp_flags |= Py_TPFLAGS_HEAPTYPE;
#if PY_VERSION_HEX >= 0x030A0000
        // As of https://github.com/python/cpython/pull/25520
        // PyType_Ready marks types as immutable if they are static types
        // and requires the Py_TPFLAGS_IMMUTABLETYPE flag to mark types as
        // immutable
        // Manually set the Py_TPFLAGS_IMMUTABLETYPE flag, since the type
        // is immutable
        t->tp_flags |= Py_TPFLAGS_IMMUTABLETYPE;
#endif
#else
        // avoid C warning about unused helper function
        (void)__Pyx_PyObject_CallMethod0;
#endif

    r = PyType_Ready(t);

#if PY_VERSION_HEX >= 0x03050000 && !defined(PYSTON_MAJOR_VERSION)
        t->tp_flags &= ~Py_TPFLAGS_HEAPTYPE;

    #if PY_VERSION_HEX >= 0x030A00b1
        if (gc_was_enabled)
            PyGC_Enable();
    #else
        if (gc_was_enabled) {
            PyObject *tp, *v, *tb;
            PyErr_Fetch(&tp, &v, &tb);
            ret = __Pyx_PyObject_CallMethod0(gc, PYUNICODE("enable"));
            if (likely(ret || r == -1)) {
                Py_XDECREF(ret);
                // do not overwrite exceptions raised by PyType_Ready() above
                PyErr_Restore(tp, v, tb);
            } else {
                // PyType_Ready() succeeded, but gc.enable() failed.
                Py_XDECREF(tp);
                Py_XDECREF(v);
                Py_XDECREF(tb);
                r = -1;
            }
        }
        Py_DECREF(gc);
    #endif
    }
#endif

    return r;
#endif
}


/////////////// PyTrashcan.proto ///////////////

// These macros are taken from https://github.com/python/cpython/pull/11841
// Unlike the Py_TRASHCAN_SAFE_BEGIN/Py_TRASHCAN_SAFE_END macros, they
// allow dealing correctly with subclasses.

// This requires CPython version >= 2.7.4
// (or >= 3.2.4 but we don't support such old Python 3 versions anyway)
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03080000
// https://github.com/python/cpython/pull/11841 merged so Cython reimplementation
// is no longer necessary
#define __Pyx_TRASHCAN_BEGIN Py_TRASHCAN_BEGIN
#define __Pyx_TRASHCAN_END Py_TRASHCAN_END
#elif CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x02070400
#define __Pyx_TRASHCAN_BEGIN_CONDITION(op, cond) \
    do { \
        PyThreadState *_tstate = NULL; \
        // If "cond" is false, then _tstate remains NULL and the deallocator
        // is run normally without involving the trashcan
        if (cond) { \
            _tstate = PyThreadState_GET(); \
            if (_tstate->trash_delete_nesting >= PyTrash_UNWIND_LEVEL) { \
                // Store the object (to be deallocated later) and jump past
                // Py_TRASHCAN_END, skipping the body of the deallocator
                _PyTrash_thread_deposit_object((PyObject*)(op)); \
                break; \
            } \
            ++_tstate->trash_delete_nesting; \
        }
        // The body of the deallocator is here.
#define __Pyx_TRASHCAN_END \
        if (_tstate) { \
            --_tstate->trash_delete_nesting; \
            if (_tstate->trash_delete_later && _tstate->trash_delete_nesting <= 0) \
                _PyTrash_thread_destroy_chain(); \
        } \
    } while (0);

#define __Pyx_TRASHCAN_BEGIN(op, dealloc) __Pyx_TRASHCAN_BEGIN_CONDITION(op, \
        __Pyx_PyObject_GetSlot(op, tp_dealloc, destructor) == (destructor)(dealloc))

#else
// The trashcan is a no-op on other Python implementations
// or old CPython versions
#define __Pyx_TRASHCAN_BEGIN(op, dealloc)
#define __Pyx_TRASHCAN_END
#endif

/////////////// CallNextTpDealloc.proto ///////////////

static void __Pyx_call_next_tp_dealloc(PyObject* obj, destructor current_tp_dealloc);

/////////////// CallNextTpDealloc ///////////////

static void __Pyx_call_next_tp_dealloc(PyObject* obj, destructor current_tp_dealloc) {
    PyTypeObject* type = Py_TYPE(obj);
    destructor tp_dealloc = NULL;
    /* try to find the first parent type that has a different tp_dealloc() function */
    while (type && __Pyx_PyType_GetSlot(type, tp_dealloc, destructor) != current_tp_dealloc)
        type = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
    while (type && (tp_dealloc = __Pyx_PyType_GetSlot(type, tp_dealloc, destructor)) == current_tp_dealloc)
        type = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
    if (type)
        tp_dealloc(obj);
}

/////////////// CallNextTpTraverse.proto ///////////////

static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse);

/////////////// CallNextTpTraverse ///////////////

static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse) {
    PyTypeObject* type = Py_TYPE(obj);
    traverseproc tp_traverse = NULL;
    /* try to find the first parent type that has a different tp_traverse() function */
    while (type && __Pyx_PyType_GetSlot(type, tp_traverse, traverseproc) != current_tp_traverse)
        type = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
    while (type && (tp_traverse = __Pyx_PyType_GetSlot(type, tp_traverse, traverseproc)) == current_tp_traverse)
        type = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
    if (type && tp_traverse)
        return tp_traverse(obj, v, a);
    // FIXME: really ignore?
    return 0;
}

/////////////// CallNextTpClear.proto ///////////////

static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_clear);

/////////////// CallNextTpClear ///////////////

static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_clear) {
    PyTypeObject* type = Py_TYPE(obj);
    inquiry tp_clear = NULL;
    /* try to find the first parent type that has a different tp_clear() function */
    while (type && __Pyx_PyType_GetSlot(type, tp_clear, inquiry) != current_tp_clear)
        type = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
    while (type && (tp_clear = __Pyx_PyType_GetSlot(type, tp_clear, inquiry)) == current_tp_clear)
        type = __Pyx_PyType_GetSlot(type, tp_base, PyTypeObject*);
    if (type && tp_clear)
        tp_clear(obj);
}

/////////////// SetupReduce.proto ///////////////

#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_setup_reduce(PyObject* type_obj);
#endif

/////////////// SetupReduce ///////////////
//@requires: ObjectHandling.c::PyObjectGetAttrStrNoError
//@requires: ObjectHandling.c::PyObjectGetAttrStr
//@substitute: naming

#if !CYTHON_COMPILING_IN_LIMITED_API
static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;

  name_attr = __Pyx_PyObject_GetAttrStrNoError(meth, PYIDENT("__name__"));
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }

  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }

  Py_XDECREF(name_attr);
  return ret;
}

static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_getstate = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
    PyObject *getstate = NULL;

#if CYTHON_USE_PYTYPE_LOOKUP
    getstate = _PyType_Lookup((PyTypeObject*)type_obj, PYIDENT("__getstate__"));
#else
    getstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, PYIDENT("__getstate__"));
    if (!getstate && PyErr_Occurred()) {
        goto __PYX_BAD;
    }
#endif
    if (getstate) {
        // Python 3.11 introduces object.__getstate__. Because it's version-specific failure to find it should not be an error
#if CYTHON_USE_PYTYPE_LOOKUP
        object_getstate = _PyType_Lookup(&PyBaseObject_Type, PYIDENT("__getstate__"));
#else
        object_getstate = __Pyx_PyObject_GetAttrStrNoError((PyObject*)&PyBaseObject_Type, PYIDENT("__getstate__"));
        if (!object_getstate && PyErr_Occurred()) {
            goto __PYX_BAD;
        }
#endif
        if (object_getstate != getstate) {
            goto __PYX_GOOD;
        }
    }

#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, PYIDENT("__reduce_ex__")); if (!object_reduce_ex) goto __PYX_BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, PYIDENT("__reduce_ex__")); if (!object_reduce_ex) goto __PYX_BAD;
#endif

    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, PYIDENT("__reduce_ex__")); if (unlikely(!reduce_ex)) goto __PYX_BAD;
    if (reduce_ex == object_reduce_ex) {

#if CYTHON_USE_PYTYPE_LOOKUP
        object_reduce = _PyType_Lookup(&PyBaseObject_Type, PYIDENT("__reduce__")); if (!object_reduce) goto __PYX_BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, PYIDENT("__reduce__")); if (!object_reduce) goto __PYX_BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, PYIDENT("__reduce__")); if (unlikely(!reduce)) goto __PYX_BAD;

        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, PYIDENT("__reduce_cython__"))) {
            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, PYIDENT("__reduce_cython__"));
            if (likely(reduce_cython)) {
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, PYIDENT("__reduce__"), reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, PYIDENT("__reduce_cython__")); if (unlikely(ret < 0)) goto __PYX_BAD;
            } else if (reduce == object_reduce || PyErr_Occurred()) {
                // Ignore if we're done, i.e. if 'reduce' already has the right name and the original is gone.
                // Otherwise: error.
                goto __PYX_BAD;
            }

            setstate = __Pyx_PyObject_GetAttrStrNoError(type_obj, PYIDENT("__setstate__"));
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, PYIDENT("__setstate_cython__"))) {
                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, PYIDENT("__setstate_cython__"));
                if (likely(setstate_cython)) {
                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, PYIDENT("__setstate__"), setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, PYIDENT("__setstate_cython__")); if (unlikely(ret < 0)) goto __PYX_BAD;
                } else if (!setstate || PyErr_Occurred()) {
                    // Ignore if we're done, i.e. if 'setstate' already has the right name and the original is gone.
                    // Otherwise: error.
                    goto __PYX_BAD;
                }
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto __PYX_GOOD;

__PYX_BAD:
    if (!PyErr_Occurred()) {
        __Pyx_TypeName type_obj_name =
            __Pyx_PyType_GetName((PyTypeObject*)type_obj);
        PyErr_Format(PyExc_RuntimeError,
            "Unable to initialize pickling for " __Pyx_FMT_TYPENAME, type_obj_name);
        __Pyx_DECREF_TypeName(type_obj_name);
    }
    ret = -1;
__PYX_GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
    Py_XDECREF(object_getstate);
    Py_XDECREF(getstate);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}
#endif


/////////////// BinopSlot ///////////////

static CYTHON_INLINE PyObject *{{func_name}}_maybe_call_slot(PyTypeObject* type, PyObject *left, PyObject *right {{extra_arg_decl}}) {
    {{slot_type}} slot;
#if CYTHON_USE_TYPE_SLOTS || PY_MAJOR_VERSION < 3 || CYTHON_COMPILING_IN_PYPY
    slot = type->tp_as_number ? type->tp_as_number->{{slot_name}} : NULL;
#else
    slot = ({{slot_type}}) PyType_GetSlot(type, Py_{{slot_name}});
#endif
    return slot ? slot(left, right {{extra_arg}}) : __Pyx_NewRef(Py_NotImplemented);
}

static PyObject *{{func_name}}(PyObject *left, PyObject *right {{extra_arg_decl}}) {
    int maybe_self_is_left, maybe_self_is_right = 0;
    maybe_self_is_left = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
            || (Py_TYPE(left)->tp_as_number && Py_TYPE(left)->tp_as_number->{{slot_name}} == &{{func_name}})
#endif
            || __Pyx_TypeCheck(left, {{type_cname}});
    // Optimize for the common case where the left operation is defined (and successful).
    if (!({{overloads_left}})) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->{{slot_name}} == &{{func_name}})
#endif
                || __Pyx_TypeCheck(right, {{type_cname}});
    }
    if (maybe_self_is_left) {
        PyObject *res;
        if (maybe_self_is_right && {{overloads_right}} && !({{overloads_left}})) {
            res = {{call_right}};
            if (res != Py_NotImplemented) return res;
            Py_DECREF(res);
            // Don't bother calling it again.
            maybe_self_is_right = 0;
        }
        res = {{call_left}};
        if (res != Py_NotImplemented) return res;
        Py_DECREF(res);
    }
    if (({{overloads_left}})) {
        maybe_self_is_right = Py_TYPE(left) == Py_TYPE(right)
#if CYTHON_USE_TYPE_SLOTS
                || (Py_TYPE(right)->tp_as_number && Py_TYPE(right)->tp_as_number->{{slot_name}} == &{{func_name}})
#endif
                || PyType_IsSubtype(Py_TYPE(right), {{type_cname}});
    }
    if (maybe_self_is_right) {
        return {{call_right}};
    }
    return __Pyx_NewRef(Py_NotImplemented);
}

/////////////// ValidateExternBase.proto ///////////////

static int __Pyx_validate_extern_base(PyTypeObject *base); /* proto */

/////////////// ValidateExternBase ///////////////
//@requires: ObjectHandling.c::FormatTypeName

static int __Pyx_validate_extern_base(PyTypeObject *base) {
    Py_ssize_t itemsize;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_itemsize;
#endif
#if !CYTHON_COMPILING_IN_LIMITED_API
    itemsize = ((PyTypeObject *)base)->tp_itemsize;
#else
    py_itemsize = PyObject_GetAttrString((PyObject*)base, "__itemsize__");
    if (!py_itemsize)
        return -1;
    itemsize = PyLong_AsSsize_t(py_itemsize);
    Py_DECREF(py_itemsize);
    py_itemsize = 0;
    if (itemsize == (Py_ssize_t)-1 && PyErr_Occurred())
        return -1;
#endif
    if (itemsize) {
        __Pyx_TypeName b_name = __Pyx_PyType_GetName(base);
        PyErr_Format(PyExc_TypeError,
                "inheritance from PyVarObject types like '" __Pyx_FMT_TYPENAME "' not currently supported", b_name);
        __Pyx_DECREF_TypeName(b_name);
        return -1;
    }
    return 0;
}