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 /*
     pybind11/pytypes.h: Convenience wrapper classes for basic Python types
 
     Copyright (c) 2016 Wenzel Jakob <wenzel.jakob@epfl.ch>
 
     All rights reserved. Use of this source code is governed by a
     BSD-style license that can be found in the LICENSE file.
 */
 
 #pragma once
 
 #include "detail/common.h"
 #include "buffer_info.h"
 
 #include <assert.h>
 #include <cstddef>
 #include <exception>
 #include <frameobject.h>
 #include <iterator>
 #include <memory>
 #include <string>
 #include <type_traits>
 #include <typeinfo>
 #include <utility>
 
 #if defined(PYBIND11_HAS_OPTIONAL)
 #    include <optional>
 #endif
 
 #ifdef PYBIND11_HAS_STRING_VIEW
 #    include <string_view>
 #endif
 
 PYBIND11_NAMESPACE_BEGIN(PYBIND11_NAMESPACE)
 
 PYBIND11_WARNING_DISABLE_MSVC(4127)
 
 /* A few forward declarations */
 class handle;
 class object;
 class str;
 class iterator;
 class type;
 struct arg;
 struct arg_v;
 
 PYBIND11_NAMESPACE_BEGIN(detail)
 class args_proxy;
 bool isinstance_generic(handle obj, const std::type_info &tp);
 
 template <typename T>
 bool isinstance_native_enum(handle obj, const std::type_info &tp);
 
 // Accessor forward declarations
 template <typename Policy>
 class accessor;
 namespace accessor_policies {
 struct obj_attr;
 struct str_attr;
 struct generic_item;
 struct sequence_item;
 struct list_item;
 struct tuple_item;
 } // namespace accessor_policies
 // PLEASE KEEP handle_type_name SPECIALIZATIONS IN SYNC.
 using obj_attr_accessor = accessor<accessor_policies::obj_attr>;
 using str_attr_accessor = accessor<accessor_policies::str_attr>;
 using item_accessor = accessor<accessor_policies::generic_item>;
 using sequence_accessor = accessor<accessor_policies::sequence_item>;
 using list_accessor = accessor<accessor_policies::list_item>;
 using tuple_accessor = accessor<accessor_policies::tuple_item>;
 
 /// Tag and check to identify a class which implements the Python object API
 class pyobject_tag {};
 template <typename T>
 using is_pyobject = std::is_base_of<pyobject_tag, remove_reference_t<T>>;
 
 /** \rst
     A mixin class which adds common functions to `handle`, `object` and various accessors.
     The only requirement for `Derived` is to implement ``PyObject *Derived::ptr() const``.
 \endrst */
 template <typename Derived>
 class object_api : public pyobject_tag {
     object_api() = default;
     const Derived &derived() const { return static_cast<const Derived &>(*this); }
     friend Derived;
 
 public:
     /** \rst
         Return an iterator equivalent to calling ``iter()`` in Python. The object
         must be a collection which supports the iteration protocol.
     \endrst */
     iterator begin() const;
     /// Return a sentinel which ends iteration.
     iterator end() const;
 
     /** \rst
         Return an internal functor to invoke the object's sequence protocol. Casting
         the returned ``detail::item_accessor`` instance to a `handle` or `object`
         subclass causes a corresponding call to ``__getitem__``. Assigning a `handle`
         or `object` subclass causes a call to ``__setitem__``.
     \endrst */
     item_accessor operator[](handle key) const;
     /// See above (the only difference is that the key's reference is stolen)
     item_accessor operator[](object &&key) const;
     /// See above (the only difference is that the key is provided as a string literal)
     item_accessor operator[](const char *key) const;
 
     /** \rst
         Return an internal functor to access the object's attributes. Casting the
         returned ``detail::obj_attr_accessor`` instance to a `handle` or `object`
         subclass causes a corresponding call to ``getattr``. Assigning a `handle`
         or `object` subclass causes a call to ``setattr``.
     \endrst */
     obj_attr_accessor attr(handle key) const;
     /// See above (the only difference is that the key's reference is stolen)
     obj_attr_accessor attr(object &&key) const;
     /// See above (the only difference is that the key is provided as a string literal)
     str_attr_accessor attr(const char *key) const;
 
     /** \rst
          Similar to the above attr functions with the difference that the templated Type
          is used to set the `__annotations__` dict value to the corresponding key. Worth noting
          that attr_with_type_hint is implemented in cast.h.
     \endrst */
     template <typename T>
     obj_attr_accessor attr_with_type_hint(handle key) const;
     /// See above (the only difference is that the key is provided as a string literal)
     template <typename T>
     str_attr_accessor attr_with_type_hint(const char *key) const;
 
     /** \rst
         Matches * unpacking in Python, e.g. to unpack arguments out of a ``tuple``
         or ``list`` for a function call. Applying another * to the result yields
         ** unpacking, e.g. to unpack a dict as function keyword arguments.
         See :ref:`calling_python_functions`.
     \endrst */
     args_proxy operator*() const;
 
     /// Check if the given item is contained within this object, i.e. ``item in obj``.
     template <typename T>
     bool contains(T &&item) const;
 
     /** \rst
         Assuming the Python object is a function or implements the ``__call__``
         protocol, ``operator()`` invokes the underlying function, passing an
         arbitrary set of parameters. The result is returned as a `object` and
         may need to be converted back into a Python object using `handle::cast()`.
 
         When some of the arguments cannot be converted to Python objects, the
         function will throw a `cast_error` exception. When the Python function
         call fails, a `error_already_set` exception is thrown.
     \endrst */
     template <return_value_policy policy = return_value_policy::automatic_reference,
               typename... Args>
     object operator()(Args &&...args) const;
     template <return_value_policy policy = return_value_policy::automatic_reference,
               typename... Args>
     PYBIND11_DEPRECATED("call(...) was deprecated in favor of operator()(...)")
     object call(Args &&...args) const;
 
     /// Equivalent to ``obj is other`` in Python.
     bool is(object_api const &other) const { return derived().ptr() == other.derived().ptr(); }
     /// Equivalent to ``obj is None`` in Python.
     bool is_none() const { return derived().ptr() == Py_None; }
     /// Equivalent to obj == other in Python
     bool equal(object_api const &other) const { return rich_compare(other, Py_EQ); }
     bool not_equal(object_api const &other) const { return rich_compare(other, Py_NE); }
     bool operator<(object_api const &other) const { return rich_compare(other, Py_LT); }
     bool operator<=(object_api const &other) const { return rich_compare(other, Py_LE); }
     bool operator>(object_api const &other) const { return rich_compare(other, Py_GT); }
     bool operator>=(object_api const &other) const { return rich_compare(other, Py_GE); }
 
     object operator-() const;
     object operator~() const;
     object operator+(object_api const &other) const;
     object operator+=(object_api const &other);
     object operator-(object_api const &other) const;
     object operator-=(object_api const &other);
     object operator*(object_api const &other) const;
     object operator*=(object_api const &other);
     object operator/(object_api const &other) const;
     object operator/=(object_api const &other);
     object operator|(object_api const &other) const;
     object operator|=(object_api const &other);
     object operator&(object_api const &other) const;
     object operator&=(object_api const &other);
     object operator^(object_api const &other) const;
     object operator^=(object_api const &other);
     object operator<<(object_api const &other) const;
     object operator<<=(object_api const &other);
     object operator>>(object_api const &other) const;
     object operator>>=(object_api const &other);
 
     PYBIND11_DEPRECATED("Use py::str(obj) instead")
     pybind11::str str() const;
 
     /// Get or set the object's docstring, i.e. ``obj.__doc__``.
     str_attr_accessor doc() const;
 
     /// Get or set the object's annotations, i.e. ``obj.__annotations__``.
     object annotations() const;
 
     /// Return the object's current reference count
     ssize_t ref_count() const {
 #ifdef PYPY_VERSION
         // PyPy uses the top few bits for REFCNT_FROM_PYPY & REFCNT_FROM_PYPY_LIGHT
         // Following pybind11 2.12.1 and older behavior and removing this part
         return static_cast<ssize_t>(static_cast<int>(Py_REFCNT(derived().ptr())));
 #else
         return Py_REFCNT(derived().ptr());
 #endif
     }
 
     PYBIND11_DEPRECATED("Call py::type::handle_of(h) or py::type::of(h) instead of h.get_type()")
     handle get_type() const;
 
 private:
     bool rich_compare(object_api const &other, int value) const;
 };
 
 template <typename T>
 using is_pyobj_ptr_or_nullptr_t = detail::any_of<std::is_same<T, PyObject *>,
                                                  std::is_same<T, PyObject *const>,
                                                  std::is_same<T, std::nullptr_t>>;
 
 PYBIND11_NAMESPACE_END(detail)
 
 #if !defined(PYBIND11_HANDLE_REF_DEBUG) && !defined(NDEBUG)
 #    define PYBIND11_HANDLE_REF_DEBUG
 #endif
 
 /** \rst
     Holds a reference to a Python object (no reference counting)
 
     The `handle` class is a thin wrapper around an arbitrary Python object (i.e. a
     ``PyObject *`` in Python's C API). It does not perform any automatic reference
     counting and merely provides a basic C++ interface to various Python API functions.
 
     .. seealso::
         The `object` class inherits from `handle` and adds automatic reference
         counting features.
 \endrst */
 class handle : public detail::object_api<handle> {
 public:
     /// The default constructor creates a handle with a ``nullptr``-valued pointer
     handle() = default;
 
     /// Enable implicit conversion from ``PyObject *`` and ``nullptr``.
     /// Not using ``handle(PyObject *ptr)`` to avoid implicit conversion from ``0``.
     template <typename T,
               detail::enable_if_t<detail::is_pyobj_ptr_or_nullptr_t<T>::value, int> = 0>
     // NOLINTNEXTLINE(google-explicit-constructor)
     handle(T ptr) : m_ptr(ptr) {}
 
     /// Enable implicit conversion through ``T::operator PyObject *()``.
     template <
         typename T,
         detail::enable_if_t<detail::all_of<detail::none_of<std::is_base_of<handle, T>,
                                                            detail::is_pyobj_ptr_or_nullptr_t<T>>,
                                            std::is_convertible<T, PyObject *>>::value,
                             int>
         = 0>
     // NOLINTNEXTLINE(google-explicit-constructor)
     handle(T &obj) : m_ptr(obj) {}
 
     /// Return the underlying ``PyObject *`` pointer
     PyObject *ptr() const { return m_ptr; }
     PyObject *&ptr() { return m_ptr; }
 
     /** \rst
         Manually increase the reference count of the Python object. Usually, it is
         preferable to use the `object` class which derives from `handle` and calls
         this function automatically. Returns a reference to itself.
     \endrst */
     const handle &inc_ref() const & {
 #ifdef PYBIND11_HANDLE_REF_DEBUG
         inc_ref_counter(1);
 #endif
 #ifdef PYBIND11_ASSERT_GIL_HELD_INCREF_DECREF
         if (m_ptr != nullptr && PyGILState_Check() == 0) {
             throw_gilstate_error("pybind11::handle::inc_ref()");
         }
 #endif
         Py_XINCREF(m_ptr);
         return *this;
     }
 
     /** \rst
         Manually decrease the reference count of the Python object. Usually, it is
         preferable to use the `object` class which derives from `handle` and calls
         this function automatically. Returns a reference to itself.
     \endrst */
     const handle &dec_ref() const & {
 #ifdef PYBIND11_ASSERT_GIL_HELD_INCREF_DECREF
         if (m_ptr != nullptr && PyGILState_Check() == 0) {
             throw_gilstate_error("pybind11::handle::dec_ref()");
         }
 #endif
         Py_XDECREF(m_ptr);
         return *this;
     }
 
     /** \rst
         Attempt to cast the Python object into the given C++ type. A `cast_error`
         will be throw upon failure.
     \endrst */
     template <typename T>
     T cast() const;
     /// Return ``true`` when the `handle` wraps a valid Python object
     explicit operator bool() const { return m_ptr != nullptr; }
     /** \rst
         Deprecated: Check that the underlying pointers are the same.
         Equivalent to ``obj1 is obj2`` in Python.
     \endrst */
     PYBIND11_DEPRECATED("Use obj1.is(obj2) instead")
     bool operator==(const handle &h) const { return m_ptr == h.m_ptr; }
     PYBIND11_DEPRECATED("Use !obj1.is(obj2) instead")
     bool operator!=(const handle &h) const { return m_ptr != h.m_ptr; }
     PYBIND11_DEPRECATED("Use handle::operator bool() instead")
     bool check() const { return m_ptr != nullptr; }
 
 protected:
     PyObject *m_ptr = nullptr;
 
 private:
 #ifdef PYBIND11_ASSERT_GIL_HELD_INCREF_DECREF
     void throw_gilstate_error(const std::string &function_name) const {
         fprintf(
             stderr,
             "%s is being called while the GIL is either not held or invalid. Please see "
             "https://pybind11.readthedocs.io/en/stable/advanced/"
             "misc.html#common-sources-of-global-interpreter-lock-errors for debugging advice.\n"
             "If you are convinced there is no bug in your code, you can #define "
             "PYBIND11_NO_ASSERT_GIL_HELD_INCREF_DECREF "
             "to disable this check. In that case you have to ensure this #define is consistently "
             "used for all translation units linked into a given pybind11 extension, otherwise "
             "there will be ODR violations.",
             function_name.c_str());
         if (Py_TYPE(m_ptr)->tp_name != nullptr) {
             fprintf(stderr,
                     " The failing %s call was triggered on a %s object.",
                     function_name.c_str(),
                     Py_TYPE(m_ptr)->tp_name);
         }
         fprintf(stderr, "\n");
         fflush(stderr);
         throw std::runtime_error(function_name + " PyGILState_Check() failure.");
     }
 #endif
 
 #ifdef PYBIND11_HANDLE_REF_DEBUG
     static std::size_t inc_ref_counter(std::size_t add) {
         thread_local std::size_t counter = 0;
         counter += add;
         return counter;
     }
 
 public:
     static std::size_t inc_ref_counter() { return inc_ref_counter(0); }
 #endif
 };
 
 inline void set_error(const handle &type, const char *message) {
     PyErr_SetString(type.ptr(), message);
 }
 
 inline void set_error(const handle &type, const handle &value) {
     PyErr_SetObject(type.ptr(), value.ptr());
 }
 
 /** \rst
     Holds a reference to a Python object (with reference counting)
 
     Like `handle`, the `object` class is a thin wrapper around an arbitrary Python
     object (i.e. a ``PyObject *`` in Python's C API). In contrast to `handle`, it
     optionally increases the object's reference count upon construction, and it
     *always* decreases the reference count when the `object` instance goes out of
     scope and is destructed. When using `object` instances consistently, it is much
     easier to get reference counting right at the first attempt.
 \endrst */
 class object : public handle {
 public:
     object() = default;
     PYBIND11_DEPRECATED("Use reinterpret_borrow<object>() or reinterpret_steal<object>()")
     object(handle h, bool is_borrowed) : handle(h) {
         if (is_borrowed) {
             inc_ref();
         }
     }
     /// Copy constructor; always increases the reference count
     object(const object &o) : handle(o) { inc_ref(); }
     /// Move constructor; steals the object from ``other`` and preserves its reference count
     object(object &&other) noexcept : handle(other) { other.m_ptr = nullptr; }
     /// Destructor; automatically calls `handle::dec_ref()`
     ~object() { dec_ref(); }
 
     /** \rst
         Resets the internal pointer to ``nullptr`` without decreasing the
         object's reference count. The function returns a raw handle to the original
         Python object.
     \endrst */
     handle release() {
         PyObject *tmp = m_ptr;
         m_ptr = nullptr;
         return handle(tmp);
     }
 
     object &operator=(const object &other) {
         // Skip inc_ref and dec_ref if both objects are the same
         if (!this->is(other)) {
             other.inc_ref();
             // Use temporary variable to ensure `*this` remains valid while
             // `Py_XDECREF` executes, in case `*this` is accessible from Python.
             handle temp(m_ptr);
             m_ptr = other.m_ptr;
             temp.dec_ref();
         }
         return *this;
     }
 
     object &operator=(object &&other) noexcept {
         if (this != &other) {
             handle temp(m_ptr);
             m_ptr = other.m_ptr;
             other.m_ptr = nullptr;
             temp.dec_ref();
         }
         return *this;
     }
 
 #define PYBIND11_INPLACE_OP(iop)                                                                  \
     object iop(object_api const &other) { return operator=(handle::iop(other)); }
 
     PYBIND11_INPLACE_OP(operator+=)
     PYBIND11_INPLACE_OP(operator-=)
     PYBIND11_INPLACE_OP(operator*=)
     PYBIND11_INPLACE_OP(operator/=)
     PYBIND11_INPLACE_OP(operator|=)
     PYBIND11_INPLACE_OP(operator&=)
     PYBIND11_INPLACE_OP(operator^=)
     PYBIND11_INPLACE_OP(operator<<=)
     PYBIND11_INPLACE_OP(operator>>=)
 #undef PYBIND11_INPLACE_OP
 
     // Calling cast() on an object lvalue just copies (via handle::cast)
     template <typename T>
     T cast() const &;
     // Calling on an object rvalue does a move, if needed and/or possible
     template <typename T>
     T cast() &&;
 
 protected:
     // Tags for choosing constructors from raw PyObject *
     struct borrowed_t {};
     struct stolen_t {};
 
     /// @cond BROKEN
     template <typename T>
     friend T reinterpret_borrow(handle);
     template <typename T>
     friend T reinterpret_steal(handle);
     /// @endcond
 
 public:
     // Only accessible from derived classes and the reinterpret_* functions
     object(handle h, borrowed_t) : handle(h) { inc_ref(); }
     object(handle h, stolen_t) : handle(h) {}
 };
 
 /** \rst
     Declare that a `handle` or ``PyObject *`` is a certain type and borrow the reference.
     The target type ``T`` must be `object` or one of its derived classes. The function
     doesn't do any conversions or checks. It's up to the user to make sure that the
     target type is correct.
 
     .. code-block:: cpp
 
         PyObject *p = PyList_GetItem(obj, index);
         py::object o = reinterpret_borrow<py::object>(p);
         // or
         py::tuple t = reinterpret_borrow<py::tuple>(p); // <-- `p` must be already be a `tuple`
 \endrst */
 template <typename T>
 T reinterpret_borrow(handle h) {
     return {h, object::borrowed_t{}};
 }
 
 /** \rst
     Like `reinterpret_borrow`, but steals the reference.
 
      .. code-block:: cpp
 
         PyObject *p = PyObject_Str(obj);
         py::str s = reinterpret_steal<py::str>(p); // <-- `p` must be already be a `str`
 \endrst */
 template <typename T>
 T reinterpret_steal(handle h) {
     return {h, object::stolen_t{}};
 }
 
 PYBIND11_NAMESPACE_BEGIN(detail)
 
 // Equivalent to obj.__class__.__name__ (or obj.__name__ if obj is a class).
 inline const char *obj_class_name(PyObject *obj) {
     if (PyType_Check(obj)) {
         return reinterpret_cast<PyTypeObject *>(obj)->tp_name;
     }
     return Py_TYPE(obj)->tp_name;
 }
 
 std::string error_string();
 
 // The code in this struct is very unusual, to minimize the chances of
 // masking bugs (elsewhere) by errors during the error handling (here).
 // This is meant to be a lifeline for troubleshooting long-running processes
 // that crash under conditions that are virtually impossible to reproduce.
 // Low-level implementation alternatives are preferred to higher-level ones
 // that might raise cascading exceptions. Last-ditch-kind-of attempts are made
 // to report as much of the original error as possible, even if there are
 // secondary issues obtaining some of the details.
 struct error_fetch_and_normalize {
     // This comment only applies to Python <= 3.11:
     //     Immediate normalization is long-established behavior (starting with
     //     https://github.com/pybind/pybind11/commit/135ba8deafb8bf64a15b24d1513899eb600e2011
     //     from Sep 2016) and safest. Normalization could be deferred, but this could mask
     //     errors elsewhere, the performance gain is very minor in typical situations
     //     (usually the dominant bottleneck is EH unwinding), and the implementation here
     //     would be more complex.
     // Starting with Python 3.12, PyErr_Fetch() normalizes exceptions immediately.
     // Any errors during normalization are tracked under __notes__.
     explicit error_fetch_and_normalize(const char *called) {
         PyErr_Fetch(&m_type.ptr(), &m_value.ptr(), &m_trace.ptr());
         if (!m_type) {
             pybind11_fail("Internal error: " + std::string(called)
                           + " called while "
                             "Python error indicator not set.");
         }
         const char *exc_type_name_orig = detail::obj_class_name(m_type.ptr());
         if (exc_type_name_orig == nullptr) {
             pybind11_fail("Internal error: " + std::string(called)
                           + " failed to obtain the name "
                             "of the original active exception type.");
         }
         m_lazy_error_string = exc_type_name_orig;
 #if PY_VERSION_HEX >= 0x030C0000
         // The presence of __notes__ is likely due to exception normalization
         // errors, although that is not necessarily true, therefore insert a
         // hint only:
         const int has_notes = PyObject_HasAttrString(m_value.ptr(), "__notes__");
         if (has_notes == 1) {
             m_lazy_error_string += "[WITH __notes__]";
         } else if (has_notes == -1) {
             // Ignore secondary errors when probing for __notes__ to avoid leaking a
             // spurious exception while still reporting the original error.
             PyErr_Clear();
         }
 #else
         // PyErr_NormalizeException() may change the exception type if there are cascading
         // failures. This can potentially be extremely confusing.
         PyErr_NormalizeException(&m_type.ptr(), &m_value.ptr(), &m_trace.ptr());
         if (m_type.ptr() == nullptr) {
             pybind11_fail("Internal error: " + std::string(called)
                           + " failed to normalize the "
                             "active exception.");
         }
         const char *exc_type_name_norm = detail::obj_class_name(m_type.ptr());
         if (exc_type_name_norm == nullptr) {
             pybind11_fail("Internal error: " + std::string(called)
                           + " failed to obtain the name "
                             "of the normalized active exception type.");
         }
         if (exc_type_name_norm != m_lazy_error_string) {
             std::string msg = std::string(called)
                               + ": MISMATCH of original and normalized "
                                 "active exception types: ";
             msg += "ORIGINAL ";
             msg += m_lazy_error_string;
             msg += " REPLACED BY ";
             msg += exc_type_name_norm;
             msg += ": " + format_value_and_trace();
             pybind11_fail(msg);
         }
 #endif
     }
 
     error_fetch_and_normalize(const error_fetch_and_normalize &) = delete;
     error_fetch_and_normalize(error_fetch_and_normalize &&) = delete;
 
     std::string format_value_and_trace() const {
         std::string result;
         std::string message_error_string;
         if (m_value) {
             auto value_str = reinterpret_steal<object>(PyObject_Str(m_value.ptr()));
             constexpr const char *message_unavailable_exc
                 = "<MESSAGE UNAVAILABLE DUE TO ANOTHER EXCEPTION>";
             if (!value_str) {
                 message_error_string = detail::error_string();
                 result = message_unavailable_exc;
             } else {
                 // Not using `value_str.cast<std::string>()`, to not potentially throw a secondary
                 // error_already_set that will then result in process termination (#4288).
                 auto value_bytes = reinterpret_steal<object>(
                     PyUnicode_AsEncodedString(value_str.ptr(), "utf-8", "backslashreplace"));
                 if (!value_bytes) {
                     message_error_string = detail::error_string();
                     result = message_unavailable_exc;
                 } else {
                     char *buffer = nullptr;
                     Py_ssize_t length = 0;
                     if (PyBytes_AsStringAndSize(value_bytes.ptr(), &buffer, &length) == -1) {
                         message_error_string = detail::error_string();
                         result = message_unavailable_exc;
                     } else {
                         result = std::string(buffer, static_cast<std::size_t>(length));
                     }
                 }
             }
 #if PY_VERSION_HEX >= 0x030B0000
             auto notes
                 = reinterpret_steal<object>(PyObject_GetAttrString(m_value.ptr(), "__notes__"));
             if (!notes) {
                 PyErr_Clear(); // No notes is good news.
             } else {
                 auto len_notes = PyList_Size(notes.ptr());
                 if (len_notes < 0) {
                     result += "\nFAILURE obtaining len(__notes__): " + detail::error_string();
                 } else {
                     result += "\n__notes__ (len=" + std::to_string(len_notes) + "):";
                     for (ssize_t i = 0; i < len_notes; i++) {
                         PyObject *note = PyList_GET_ITEM(notes.ptr(), i);
                         auto note_bytes = reinterpret_steal<object>(
                             PyUnicode_AsEncodedString(note, "utf-8", "backslashreplace"));
                         if (!note_bytes) {
                             result += "\nFAILURE obtaining __notes__[" + std::to_string(i)
                                       + "]: " + detail::error_string();
                         } else {
                             char *buffer = nullptr;
                             Py_ssize_t length = 0;
                             if (PyBytes_AsStringAndSize(note_bytes.ptr(), &buffer, &length)
                                 == -1) {
                                 result += "\nFAILURE formatting __notes__[" + std::to_string(i)
                                           + "]: " + detail::error_string();
                             } else {
                                 result += '\n';
                                 result += std::string(buffer, static_cast<std::size_t>(length));
                             }
                         }
                     }
                 }
             }
 #endif
         } else {
             result = "<MESSAGE UNAVAILABLE>";
         }
         if (result.empty()) {
             result = "<EMPTY MESSAGE>";
         }
 
         bool have_trace = false;
         if (m_trace) {
 #if !defined(PYPY_VERSION) && !defined(GRAALVM_PYTHON)
             auto *tb = reinterpret_cast<PyTracebackObject *>(m_trace.ptr());
 
             // Get the deepest trace possible.
             while (tb->tb_next) {
                 tb = tb->tb_next;
             }
 
             PyFrameObject *frame = tb->tb_frame;
             Py_XINCREF(frame);
             result += "\n\nAt:\n";
             while (frame) {
 #    if PY_VERSION_HEX >= 0x030900B1
                 PyCodeObject *f_code = PyFrame_GetCode(frame);
 #    else
                 PyCodeObject *f_code = frame->f_code;
                 Py_INCREF(f_code);
 #    endif
                 int lineno = PyFrame_GetLineNumber(frame);
                 result += "  ";
                 result += handle(f_code->co_filename).cast<std::string>();
                 result += '(';
                 result += std::to_string(lineno);
                 result += "): ";
                 result += handle(f_code->co_name).cast<std::string>();
                 result += '\n';
                 Py_DECREF(f_code);
 #    if PY_VERSION_HEX >= 0x030900B1
                 auto *b_frame = PyFrame_GetBack(frame);
 #    else
                 auto *b_frame = frame->f_back;
                 Py_XINCREF(b_frame);
 #    endif
                 Py_DECREF(frame);
                 frame = b_frame;
             }
 
             have_trace = true;
 #endif //! defined(PYPY_VERSION)
         }
 
         if (!message_error_string.empty()) {
             if (!have_trace) {
                 result += '\n';
             }
             result += "\nMESSAGE UNAVAILABLE DUE TO EXCEPTION: " + message_error_string;
         }
 
         return result;
     }
 
     std::string const &error_string() const {
         if (!m_lazy_error_string_completed) {
             m_lazy_error_string += ": " + format_value_and_trace();
             m_lazy_error_string_completed = true;
         }
         return m_lazy_error_string;
     }
 
     void restore() {
         if (m_restore_called) {
             pybind11_fail("Internal error: pybind11::detail::error_fetch_and_normalize::restore() "
                           "called a second time. ORIGINAL ERROR: "
                           + error_string());
         }
         PyErr_Restore(m_type.inc_ref().ptr(), m_value.inc_ref().ptr(), m_trace.inc_ref().ptr());
         m_restore_called = true;
     }
 
     bool matches(handle exc) const {
         return (PyErr_GivenExceptionMatches(m_type.ptr(), exc.ptr()) != 0);
     }
 
     // Not protecting these for simplicity.
     object m_type, m_value, m_trace;
 
 private:
     // Only protecting invariants.
     mutable std::string m_lazy_error_string;
     mutable bool m_lazy_error_string_completed = false;
     mutable bool m_restore_called = false;
 };
 
 inline std::string error_string() {
     return error_fetch_and_normalize("pybind11::detail::error_string").error_string();
 }
 
 PYBIND11_NAMESPACE_END(detail)
 
 /// Fetch and hold an error which was already set in Python.  An instance of this is typically
 /// thrown to propagate python-side errors back through C++ which can either be caught manually or
 /// else falls back to the function dispatcher (which then raises the captured error back to
 /// python).
 class PYBIND11_EXPORT_EXCEPTION error_already_set : public std::exception {
 public:
     /// Fetches the current Python exception (using PyErr_Fetch()), which will clear the
     /// current Python error indicator.
     error_already_set()
         : m_fetched_error{new detail::error_fetch_and_normalize("pybind11::error_already_set"),
                           m_fetched_error_deleter} {}
 
     /// The what() result is built lazily on demand.
     /// WARNING: This member function needs to acquire the Python GIL. This can lead to
     ///          crashes (undefined behavior) if the Python interpreter is finalizing.
     const char *what() const noexcept override;
 
     /// Restores the currently-held Python error (which will clear the Python error indicator first
     /// if already set).
     /// NOTE: This member function will always restore the normalized exception, which may or may
     ///       not be the original Python exception.
     /// WARNING: The GIL must be held when this member function is called!
     void restore() { m_fetched_error->restore(); }
 
     /// If it is impossible to raise the currently-held error, such as in a destructor, we can
     /// write it out using Python's unraisable hook (`sys.unraisablehook`). The error context
     /// should be some object whose `repr()` helps identify the location of the error. Python
     /// already knows the type and value of the error, so there is no need to repeat that.
     void discard_as_unraisable(object err_context) {
         restore();
         PyErr_WriteUnraisable(err_context.ptr());
     }
     /// An alternate version of `discard_as_unraisable()`, where a string provides information on
     /// the location of the error. For example, `__func__` could be helpful.
     /// WARNING: The GIL must be held when this member function is called!
     void discard_as_unraisable(const char *err_context) {
         discard_as_unraisable(reinterpret_steal<object>(PYBIND11_FROM_STRING(err_context)));
     }
 
     // Does nothing; provided for backwards compatibility.
     PYBIND11_DEPRECATED("Use of error_already_set.clear() is deprecated")
     void clear() {}
 
     /// Check if the currently trapped error type matches the given Python exception class (or a
     /// subclass thereof).  May also be passed a tuple to search for any exception class matches in
     /// the given tuple.
     bool matches(handle exc) const { return m_fetched_error->matches(exc); }
 
     const object &type() const { return m_fetched_error->m_type; }
     const object &value() const { return m_fetched_error->m_value; }
     const object &trace() const { return m_fetched_error->m_trace; }
 
 private:
     std::shared_ptr<detail::error_fetch_and_normalize> m_fetched_error;
 
     /// WARNING: This custom deleter needs to acquire the Python GIL. This can lead to
     ///          crashes (undefined behavior) if the Python interpreter is finalizing.
     static void m_fetched_error_deleter(detail::error_fetch_and_normalize *raw_ptr);
 };
 
 /// Replaces the current Python error indicator with the chosen error, performing a
 /// 'raise from' to indicate that the chosen error was caused by the original error.
 inline void raise_from(PyObject *type, const char *message) {
     // Based on _PyErr_FormatVFromCause:
     // https://github.com/python/cpython/blob/467ab194fc6189d9f7310c89937c51abeac56839/Python/errors.c#L405
     // See https://github.com/pybind/pybind11/pull/2112 for details.
     PyObject *exc = nullptr, *val = nullptr, *val2 = nullptr, *tb = nullptr;
 
     assert(PyErr_Occurred());
     PyErr_Fetch(&exc, &val, &tb);
     PyErr_NormalizeException(&exc, &val, &tb);
     if (tb != nullptr) {
         PyException_SetTraceback(val, tb);
         Py_DECREF(tb);
     }
     Py_DECREF(exc);
     assert(!PyErr_Occurred());
 
     PyErr_SetString(type, message);
 
     PyErr_Fetch(&exc, &val2, &tb);
     PyErr_NormalizeException(&exc, &val2, &tb);
     Py_INCREF(val);
     PyException_SetCause(val2, val);
     PyException_SetContext(val2, val);
     PyErr_Restore(exc, val2, tb);
 }
 
 /// Sets the current Python error indicator with the chosen error, performing a 'raise from'
 /// from the error contained in error_already_set to indicate that the chosen error was
 /// caused by the original error.
 inline void raise_from(error_already_set &err, PyObject *type, const char *message) {
     err.restore();
     raise_from(type, message);
 }
 
 /** \defgroup python_builtins const_name
     Unless stated otherwise, the following C++ functions behave the same
     as their Python counterparts.
  */
 
 /** \ingroup python_builtins
     \rst
     Return true if ``obj`` is an instance of ``T``. Type ``T`` must be a subclass of
     `object` or a class which was exposed to Python as ``py::class_<T>``.
 \endrst */
 template <typename T, detail::enable_if_t<std::is_base_of<object, T>::value, int> = 0>
 bool isinstance(handle obj) {
     return T::check_(obj);
 }
 
 template <typename T, detail::enable_if_t<!std::is_base_of<object, T>::value, int> = 0>
 bool isinstance(handle obj) {
     return detail::isinstance_native_enum<T>(obj, typeid(T))
            || detail::isinstance_generic(obj, typeid(T));
 }
 
 template <>
 bool isinstance<handle>(handle) = delete;
 template <>
 inline bool isinstance<object>(handle obj) {
     return obj.ptr() != nullptr;
 }
 
 /// \ingroup python_builtins
 /// Return true if ``obj`` is an instance of the ``type``.
 inline bool isinstance(handle obj, handle type) {
     const auto result = PyObject_IsInstance(obj.ptr(), type.ptr());
     if (result == -1) {
         throw error_already_set();
     }
     return result != 0;
 }
 
 /// \addtogroup python_builtins
 /// @{
 inline bool hasattr(handle obj, handle name) {
     return PyObject_HasAttr(obj.ptr(), name.ptr()) == 1;
 }
 
 inline bool hasattr(handle obj, const char *name) {
     return PyObject_HasAttrString(obj.ptr(), name) == 1;
 }
 
 inline void delattr(handle obj, handle name) {
     if (PyObject_DelAttr(obj.ptr(), name.ptr()) != 0) {
         throw error_already_set();
     }
 }
 
 inline void delattr(handle obj, const char *name) {
     if (PyObject_DelAttrString(obj.ptr(), name) != 0) {
         throw error_already_set();
     }
 }
 
 inline object getattr(handle obj, handle name) {
     PyObject *result = PyObject_GetAttr(obj.ptr(), name.ptr());
     if (!result) {
         throw error_already_set();
     }
     return reinterpret_steal<object>(result);
 }
 
 inline object getattr(handle obj, const char *name) {
     PyObject *result = PyObject_GetAttrString(obj.ptr(), name);
     if (!result) {
         throw error_already_set();
     }
     return reinterpret_steal<object>(result);
 }
 
 inline object getattr(handle obj, handle name, handle default_) {
     if (PyObject *result = PyObject_GetAttr(obj.ptr(), name.ptr())) {
         return reinterpret_steal<object>(result);
     }
     PyErr_Clear();
     return reinterpret_borrow<object>(default_);
 }
 
 inline object getattr(handle obj, const char *name, handle default_) {
     if (PyObject *result = PyObject_GetAttrString(obj.ptr(), name)) {
         return reinterpret_steal<object>(result);
     }
     PyErr_Clear();
     return reinterpret_borrow<object>(default_);
 }
 
 inline void setattr(handle obj, handle name, handle value) {
     if (PyObject_SetAttr(obj.ptr(), name.ptr(), value.ptr()) != 0) {
         throw error_already_set();
     }
 }
 
 inline void setattr(handle obj, const char *name, handle value) {
     if (PyObject_SetAttrString(obj.ptr(), name, value.ptr()) != 0) {
         throw error_already_set();
     }
 }
 
 inline ssize_t hash(handle obj) {
     auto h = PyObject_Hash(obj.ptr());
     if (h == -1) {
         throw error_already_set();
     }
     return h;
 }
 
 /// @} python_builtins
 
 PYBIND11_NAMESPACE_BEGIN(detail)
 inline handle get_function(handle value) {
     if (value) {
         if (PyInstanceMethod_Check(value.ptr())) {
             value = PyInstanceMethod_GET_FUNCTION(value.ptr());
         } else if (PyMethod_Check(value.ptr())) {
             value = PyMethod_GET_FUNCTION(value.ptr());
         }
     }
     return value;
 }
 
 // Reimplementation of python's dict helper functions to ensure that exceptions
 // aren't swallowed (see #2862)
 
 // copied from cpython _PyDict_GetItemStringWithError
 inline PyObject *dict_getitemstring(PyObject *v, const char *key) {
     PyObject *kv = nullptr, *rv = nullptr;
     kv = PyUnicode_FromString(key);
     if (kv == nullptr) {
         throw error_already_set();
     }
 
     rv = PyDict_GetItemWithError(v, kv);
     Py_DECREF(kv);
     if (rv == nullptr && PyErr_Occurred()) {
         throw error_already_set();
     }
     return rv;
 }
 
 inline PyObject *dict_getitem(PyObject *v, PyObject *key) {
     PyObject *rv = PyDict_GetItemWithError(v, key);
     if (rv == nullptr && PyErr_Occurred()) {
         throw error_already_set();
     }
     return rv;
 }
 
 // PyDict_GetItemStringRef was added in Python 3.13.0a1.
 // See also: https://github.com/python/pythoncapi-compat/blob/main/pythoncapi_compat.h
 inline PyObject *dict_getitemstringref(PyObject *v, const char *key) {
 #if PY_VERSION_HEX >= 0x030D00A1
     PyObject *rv = nullptr;
     if (PyDict_GetItemStringRef(v, key, &rv) < 0) {
         throw error_already_set();
     }
     return rv;
 #else
     PyObject *rv = dict_getitemstring(v, key);
     if (rv == nullptr && PyErr_Occurred()) {
         throw error_already_set();
     }
     Py_XINCREF(rv);
     return rv;
 #endif
 }
 
 inline PyObject *dict_setdefaultstring(PyObject *v, const char *key, PyObject *defaultobj) {
     PyObject *kv = PyUnicode_FromString(key);
     if (kv == nullptr) {
         throw error_already_set();
     }
 
     PyObject *rv = PyDict_SetDefault(v, kv, defaultobj);
     Py_DECREF(kv);
     if (rv == nullptr) {
         throw error_already_set();
     }
     return rv;
 }
 
 // PyDict_SetDefaultRef was added in Python 3.13.0a4.
 // See also: https://github.com/python/pythoncapi-compat/blob/main/pythoncapi_compat.h
 inline PyObject *dict_setdefaultstringref(PyObject *v, const char *key, PyObject *defaultobj) {
 #if PY_VERSION_HEX >= 0x030D00A4
     PyObject *kv = PyUnicode_FromString(key);
     if (kv == nullptr) {
         throw error_already_set();
     }
 
     PyObject *rv = nullptr;
     if (PyDict_SetDefaultRef(v, kv, defaultobj, &rv) < 0) {
         Py_DECREF(kv);
         throw error_already_set();
     }
     Py_DECREF(kv);
     return rv;
 #else
     PyObject *rv = dict_setdefaultstring(v, key, defaultobj);
     if (rv == nullptr || PyErr_Occurred()) {
         throw error_already_set();
     }
     Py_XINCREF(rv);
     return rv;
 #endif
 }
 
 // Helper aliases/functions to support implicit casting of values given to python
 // accessors/methods. When given a pyobject, this simply returns the pyobject as-is; for other C++
 // type, the value goes through pybind11::cast(obj) to convert it to an `object`.
 template <typename T, enable_if_t<is_pyobject<T>::value, int> = 0>
 auto object_or_cast(T &&o) -> decltype(std::forward<T>(o)) {
     return std::forward<T>(o);
 }
 // The following casting version is implemented in cast.h:
 template <typename T, enable_if_t<!is_pyobject<T>::value, int> = 0>
 object object_or_cast(T &&o);
 // Match a PyObject*, which we want to convert directly to handle via its converting constructor
 inline handle object_or_cast(PyObject *ptr) { return ptr; }
 
 PYBIND11_WARNING_PUSH
 PYBIND11_WARNING_DISABLE_MSVC(4522) // warning C4522: multiple assignment operators specified
 template <typename Policy>
 class accessor : public object_api<accessor<Policy>> {
     using key_type = typename Policy::key_type;
 
 public:
     accessor(handle obj, key_type key) : obj(obj), key(std::move(key)) {}
     accessor(const accessor &) = default;
     accessor(accessor &&) noexcept = default;
 
     // accessor overload required to override default assignment operator (templates are not
     // allowed to replace default compiler-generated assignments).
     void operator=(const accessor &a) && { std::move(*this).operator=(handle(a)); }
     void operator=(const accessor &a) & { operator=(handle(a)); }
 
     template <typename T>
     enable_if_t<!std::is_same<accessor, remove_reference_t<T>>::value> operator=(T &&value) && {
         Policy::set(obj, key, object_or_cast(std::forward<T>(value)));
     }
     template <typename T>
     enable_if_t<!std::is_same<accessor, remove_reference_t<T>>::value> operator=(T &&value) & {
         get_cache() = ensure_object(object_or_cast(std::forward<T>(value)));
     }
 
     template <typename T = Policy>
     PYBIND11_DEPRECATED(
         "Use of obj.attr(...) as bool is deprecated in favor of pybind11::hasattr(obj, ...)")
     explicit
     operator enable_if_t<std::is_same<T, accessor_policies::str_attr>::value
                              || std::is_same<T, accessor_policies::obj_attr>::value,
                          bool>() const {
         return hasattr(obj, key);
     }
     template <typename T = Policy>
     PYBIND11_DEPRECATED("Use of obj[key] as bool is deprecated in favor of obj.contains(key)")
     explicit
     operator enable_if_t<std::is_same<T, accessor_policies::generic_item>::value, bool>() const {
         return obj.contains(key);
     }
 
     // NOLINTNEXTLINE(google-explicit-constructor)
     operator object() const { return get_cache(); }
     PyObject *ptr() const { return get_cache().ptr(); }
     template <typename T>
     T cast() const {
         return get_cache().template cast<T>();
     }
 
 private:
     static object ensure_object(object &&o) { return std::move(o); }
     static object ensure_object(handle h) { return reinterpret_borrow<object>(h); }
 
     object &get_cache() const {
         if (!cache) {
             cache = Policy::get(obj, key);
         }
         return cache;
     }
 
 private:
     handle obj;
     key_type key;
     mutable object cache;
 };
 PYBIND11_WARNING_POP
 
 PYBIND11_NAMESPACE_BEGIN(accessor_policies)
 struct obj_attr {
     using key_type = object;
     static object get(handle obj, handle key) { return getattr(obj, key); }
     static void set(handle obj, handle key, handle val) { setattr(obj, key, val); }
 };
 
 struct str_attr {
     using key_type = const char *;
     static object get(handle obj, const char *key) { return getattr(obj, key); }
     static void set(handle obj, const char *key, handle val) { setattr(obj, key, val); }
 };
 
 struct generic_item {
     using key_type = object;
 
     static object get(handle obj, handle key) {
         PyObject *result = PyObject_GetItem(obj.ptr(), key.ptr());
         if (!result) {
             throw error_already_set();
         }
         return reinterpret_steal<object>(result);
     }
 
     static void set(handle obj, handle key, handle val) {
         if (PyObject_SetItem(obj.ptr(), key.ptr(), val.ptr()) != 0) {
             throw error_already_set();
         }
     }
 };
 
 struct sequence_item {
     using key_type = size_t;
 
     template <typename IdxType, detail::enable_if_t<std::is_integral<IdxType>::value, int> = 0>
     static object get(handle obj, const IdxType &index) {
         PyObject *result = PySequence_GetItem(obj.ptr(), ssize_t_cast(index));
         if (!result) {
             throw error_already_set();
         }
         return reinterpret_steal<object>(result);
     }
 
     template <typename IdxType, detail::enable_if_t<std::is_integral<IdxType>::value, int> = 0>
     static void set(handle obj, const IdxType &index, handle val) {
         // PySequence_SetItem does not steal a reference to 'val'
         if (PySequence_SetItem(obj.ptr(), ssize_t_cast(index), val.ptr()) != 0) {
             throw error_already_set();
         }
     }
 };
 
 struct list_item {
     using key_type = size_t;
 
     template <typename IdxType, detail::enable_if_t<std::is_integral<IdxType>::value, int> = 0>
     static object get(handle obj, const IdxType &index) {
         PyObject *result = PyList_GetItem(obj.ptr(), ssize_t_cast(index));
         if (!result) {
             throw error_already_set();
         }
         return reinterpret_borrow<object>(result);
     }
 
     template <typename IdxType, detail::enable_if_t<std::is_integral<IdxType>::value, int> = 0>
     static void set(handle obj, const IdxType &index, handle val) {
         // PyList_SetItem steals a reference to 'val'
         if (PyList_SetItem(obj.ptr(), ssize_t_cast(index), val.inc_ref().ptr()) != 0) {
             throw error_already_set();
         }
     }
 };
 
 struct tuple_item {
     using key_type = size_t;
 
     template <typename IdxType, detail::enable_if_t<std::is_integral<IdxType>::value, int> = 0>
     static object get(handle obj, const IdxType &index) {
         PyObject *result = PyTuple_GetItem(obj.ptr(), ssize_t_cast(index));
         if (!result) {
             throw error_already_set();
         }
         return reinterpret_borrow<object>(result);
     }
 
     template <typename IdxType, detail::enable_if_t<std::is_integral<IdxType>::value, int> = 0>
     static void set(handle obj, const IdxType &index, handle val) {
         // PyTuple_SetItem steals a reference to 'val'
         if (PyTuple_SetItem(obj.ptr(), ssize_t_cast(index), val.inc_ref().ptr()) != 0) {
             throw error_already_set();
         }
     }
 };
 PYBIND11_NAMESPACE_END(accessor_policies)
 
 /// STL iterator template used for tuple, list, sequence and dict
 template <typename Policy>
 class generic_iterator : public Policy {
     using It = generic_iterator;
 
 public:
     using difference_type = ssize_t;
     using iterator_category = typename Policy::iterator_category;
     using value_type = typename Policy::value_type;
     using reference = typename Policy::reference;
     using pointer = typename Policy::pointer;
 
     generic_iterator() = default;
     generic_iterator(handle seq, ssize_t index) : Policy(seq, index) {}
 
     // NOLINTNEXTLINE(readability-const-return-type) // PR #3263
     reference operator*() const { return Policy::dereference(); }
     // NOLINTNEXTLINE(readability-const-return-type) // PR #3263
     reference operator[](difference_type n) const { return *(*this + n); }
     pointer operator->() const { return **this; }
 
     It &operator++() {
         Policy::increment();
         return *this;
     }
     It operator++(int) {
         auto copy = *this;
         Policy::increment();
         return copy;
     }
     It &operator--() {
         Policy::decrement();
         return *this;
     }
     It operator--(int) {
         auto copy = *this;
         Policy::decrement();
         return copy;
     }
     It &operator+=(difference_type n) {
         Policy::advance(n);
         return *this;
     }
     It &operator-=(difference_type n) {
         Policy::advance(-n);
         return *this;
     }
 
     friend It operator+(const It &a, difference_type n) {
         auto copy = a;
         return copy += n;
     }
     friend It operator+(difference_type n, const It &b) { return b + n; }
     friend It operator-(const It &a, difference_type n) {
         auto copy = a;
         return copy -= n;
     }
     friend difference_type operator-(const It &a, const It &b) { return a.distance_to(b); }
 
     friend bool operator==(const It &a, const It &b) { return a.equal(b); }
     friend bool operator!=(const It &a, const It &b) { return !(a == b); }
     friend bool operator<(const It &a, const It &b) { return b - a > 0; }
     friend bool operator>(const It &a, const It &b) { return b < a; }
     friend bool operator>=(const It &a, const It &b) { return !(a < b); }
     friend bool operator<=(const It &a, const It &b) { return !(a > b); }
 };
 
 PYBIND11_NAMESPACE_BEGIN(iterator_policies)
 /// Quick proxy class needed to implement ``operator->`` for iterators which can't return pointers
 template <typename T>
 struct arrow_proxy {
     T value;
 
     // NOLINTNEXTLINE(google-explicit-constructor)
     arrow_proxy(T &&value) noexcept : value(std::move(value)) {}
     T *operator->() const { return &value; }
 };
 
 /// Lightweight iterator policy using just a simple pointer: see ``PySequence_Fast_ITEMS``
 class sequence_fast_readonly {
 protected:
     using iterator_category = std::random_access_iterator_tag;
     using value_type = handle;
     using reference = const handle; // PR #3263
     using pointer = arrow_proxy<const handle>;
 
     sequence_fast_readonly(handle obj, ssize_t n) : ptr(PySequence_Fast_ITEMS(obj.ptr()) + n) {}
     sequence_fast_readonly() = default;
 
     // NOLINTNEXTLINE(readability-const-return-type) // PR #3263
     reference dereference() const { return *ptr; }
     void increment() { ++ptr; }
     void decrement() { --ptr; }
     void advance(ssize_t n) { ptr += n; }
     bool equal(const sequence_fast_readonly &b) const { return ptr == b.ptr; }
     ssize_t distance_to(const sequence_fast_readonly &b) const { return ptr - b.ptr; }
 
 private:
     PyObject **ptr;
 };
 
 /// Full read and write access using the sequence protocol: see ``detail::sequence_accessor``
 class sequence_slow_readwrite {
 protected:
     using iterator_category = std::random_access_iterator_tag;
     using value_type = object;
     using reference = sequence_accessor;
     using pointer = arrow_proxy<const sequence_accessor>;
 
     sequence_slow_readwrite(handle obj, ssize_t index) : obj(obj), index(index) {}
     sequence_slow_readwrite() = default;
 
     reference dereference() const { return {obj, static_cast<size_t>(index)}; }
     void increment() { ++index; }
     void decrement() { --index; }
     void advance(ssize_t n) { index += n; }
     bool equal(const sequence_slow_readwrite &b) const { return index == b.index; }
     ssize_t distance_to(const sequence_slow_readwrite &b) const { return index - b.index; }
 
 private:
     handle obj;
     ssize_t index;
 };
 
 /// Python's dictionary protocol permits this to be a forward iterator
 class dict_readonly {
 protected:
     using iterator_category = std::forward_iterator_tag;
     using value_type = std::pair<handle, handle>;
     using reference = const value_type; // PR #3263
     using pointer = arrow_proxy<const value_type>;
 
     dict_readonly() = default;
     dict_readonly(handle obj, ssize_t pos) : obj(obj), pos(pos) { increment(); }
 
     // NOLINTNEXTLINE(readability-const-return-type) // PR #3263
     reference dereference() const { return {key, value}; }
     void increment() {
         if (PyDict_Next(obj.ptr(), &pos, &key, &value) == 0) {
             pos = -1;
         }
     }
     bool equal(const dict_readonly &b) const { return pos == b.pos; }
 
 private:
     handle obj;
     PyObject *key = nullptr, *value = nullptr;
     ssize_t pos = -1;
 };
 PYBIND11_NAMESPACE_END(iterator_policies)
 
 #if !defined(PYPY_VERSION)
 using tuple_iterator = generic_iterator<iterator_policies::sequence_fast_readonly>;
 using list_iterator = generic_iterator<iterator_policies::sequence_fast_readonly>;
 #else
 using tuple_iterator = generic_iterator<iterator_policies::sequence_slow_readwrite>;
 using list_iterator = generic_iterator<iterator_policies::sequence_slow_readwrite>;
 #endif
 
 using sequence_iterator = generic_iterator<iterator_policies::sequence_slow_readwrite>;
 using dict_iterator = generic_iterator<iterator_policies::dict_readonly>;
 
 inline bool PyIterable_Check(PyObject *obj) {
     PyObject *iter = PyObject_GetIter(obj);
     if (iter) {
         Py_DECREF(iter);
         return true;
     }
     PyErr_Clear();
     return false;
 }
 
 inline bool PyNone_Check(PyObject *o) { return o == Py_None; }
 inline bool PyEllipsis_Check(PyObject *o) { return o == Py_Ellipsis; }
 
 #ifdef PYBIND11_STR_LEGACY_PERMISSIVE
 inline bool PyUnicode_Check_Permissive(PyObject *o) {
     return PyUnicode_Check(o) || PYBIND11_BYTES_CHECK(o);
 }
 #    define PYBIND11_STR_CHECK_FUN detail::PyUnicode_Check_Permissive
 #else
 #    define PYBIND11_STR_CHECK_FUN PyUnicode_Check
 #endif
 
 inline bool PyStaticMethod_Check(PyObject *o) { return Py_TYPE(o) == &PyStaticMethod_Type; }
 
 class kwargs_proxy : public handle {
 public:
     explicit kwargs_proxy(handle h) : handle(h) {}
 };
 
 class args_proxy : public handle {
 public:
     explicit args_proxy(handle h) : handle(h) {}
     kwargs_proxy operator*() const { return kwargs_proxy(*this); }
 };
 
 /// Python argument categories (using PEP 448 terms)
 template <typename T>
 using is_keyword = std::is_base_of<arg, T>;
 template <typename T>
 using is_s_unpacking = std::is_same<args_proxy, T>; // * unpacking
 template <typename T>
 using is_ds_unpacking = std::is_same<kwargs_proxy, T>; // ** unpacking
 template <typename T>
 using is_positional = satisfies_none_of<T, is_keyword, is_s_unpacking, is_ds_unpacking>;
 template <typename T>
 using is_keyword_or_ds = satisfies_any_of<T, is_keyword, is_ds_unpacking>;
 
 // Call argument collector forward declarations
 template <return_value_policy policy = return_value_policy::automatic_reference>
 class simple_collector;
 template <return_value_policy policy = return_value_policy::automatic_reference>
 class unpacking_collector;
 
 inline object get_scope_module(handle scope) {
     if (scope) {
         if (hasattr(scope, "__module__")) {
             return scope.attr("__module__");
         }
         if (hasattr(scope, "__name__")) {
             return scope.attr("__name__");
         }
     }
     return object();
 }
 
 PYBIND11_NAMESPACE_END(detail)
 
 // TODO: After the deprecated constructors are removed, this macro can be simplified by
 //       inheriting ctors: `using Parent::Parent`. It's not an option right now because
 //       the `using` statement triggers the parent deprecation warning even if the ctor
 //       isn't even used.
 #define PYBIND11_OBJECT_COMMON(Name, Parent, CheckFun)                                            \
 public:                                                                                           \
     PYBIND11_DEPRECATED("Use reinterpret_borrow<" #Name ">() or reinterpret_steal<" #Name ">()")  \
     Name(handle h, bool is_borrowed)                                                              \
         : Parent(is_borrowed ? Parent(h, borrowed_t{}) : Parent(h, stolen_t{})) {}                \
     Name(handle h, borrowed_t) : Parent(h, borrowed_t{}) {}                                       \
     Name(handle h, stolen_t) : Parent(h, stolen_t{}) {}                                           \
     PYBIND11_DEPRECATED("Use py::isinstance<py::python_type>(obj) instead")                       \
     bool check() const { return m_ptr != nullptr && (CheckFun(m_ptr) != 0); }                     \
     static bool check_(handle h) { return h.ptr() != nullptr && CheckFun(h.ptr()); }              \
     template <typename Policy_> /* NOLINTNEXTLINE(google-explicit-constructor) */                 \
     Name(const ::pybind11::detail::accessor<Policy_> &a) : Name(object(a)) {}
 
 #define PYBIND11_OBJECT_CVT(Name, Parent, CheckFun, ConvertFun)                                   \
     PYBIND11_OBJECT_COMMON(Name, Parent, CheckFun)                                                \
     /* This is deliberately not 'explicit' to allow implicit conversion from object: */           \
     /* NOLINTNEXTLINE(google-explicit-constructor) */                                             \
     Name(const object &o)                                                                         \
         : Parent(check_(o) ? o.inc_ref().ptr() : ConvertFun(o.ptr()), stolen_t{}) {               \
         if (!m_ptr)                                                                               \
             throw ::pybind11::error_already_set();                                                \
     }                                                                                             \
     /* NOLINTNEXTLINE(google-explicit-constructor) */                                             \
     Name(object &&o) : Parent(check_(o) ? o.release().ptr() : ConvertFun(o.ptr()), stolen_t{}) {  \
         if (!m_ptr)                                                                               \
             throw ::pybind11::error_already_set();                                                \
     }
 
 #define PYBIND11_OBJECT_CVT_DEFAULT(Name, Parent, CheckFun, ConvertFun)                           \
     PYBIND11_OBJECT_CVT(Name, Parent, CheckFun, ConvertFun)                                       \
     Name() = default;
 
 #define PYBIND11_OBJECT_CHECK_FAILED(Name, o_ptr)                                                 \
     ::pybind11::type_error("Object of type '"                                                     \
                            + ::pybind11::detail::get_fully_qualified_tp_name(Py_TYPE(o_ptr))      \
                            + "' is not an instance of '" #Name "'")
 
 #define PYBIND11_OBJECT(Name, Parent, CheckFun)                                                   \
     PYBIND11_OBJECT_COMMON(Name, Parent, CheckFun)                                                \
     /* This is deliberately not 'explicit' to allow implicit conversion from object: */           \
     /* NOLINTNEXTLINE(google-explicit-constructor) */                                             \
     Name(const object &o) : Parent(o) {                                                           \
         if (m_ptr && !check_(m_ptr))                                                              \
             throw PYBIND11_OBJECT_CHECK_FAILED(Name, m_ptr);                                      \
     }                                                                                             \
     /* NOLINTNEXTLINE(google-explicit-constructor) */                                             \
     Name(object &&o) : Parent(std::move(o)) {                                                     \
         if (m_ptr && !check_(m_ptr))                                                              \
             throw PYBIND11_OBJECT_CHECK_FAILED(Name, m_ptr);                                      \
     }
 
 #define PYBIND11_OBJECT_DEFAULT(Name, Parent, CheckFun)                                           \
     PYBIND11_OBJECT(Name, Parent, CheckFun)                                                       \
     Name() = default;
 
 /// \addtogroup pytypes
 /// @{
 
 /** \rst
     Wraps a Python iterator so that it can also be used as a C++ input iterator
 
     Caveat: copying an iterator does not (and cannot) clone the internal
     state of the Python iterable. This also applies to the post-increment
     operator. This iterator should only be used to retrieve the current
     value using ``operator*()``.
 \endrst */
 class iterator : public object {
 public:
     using iterator_category = std::input_iterator_tag;
     using difference_type = ssize_t;
     using value_type = handle;
     using reference = const handle; // PR #3263
     using pointer = const handle *;
 
     PYBIND11_OBJECT_DEFAULT(iterator, object, PyIter_Check)
 
     iterator &operator++() {
         init();
         advance();
         return *this;
     }
 
     iterator operator++(int) {
         // Note: We must call init() first so that rv.value is
         // the same as this->value just before calling advance().
         // Otherwise, dereferencing the returned iterator may call
         // advance() again and return the 3rd item instead of the 1st.
         init();
         auto rv = *this;
         advance();
         return rv;
     }
 
     // NOLINTNEXTLINE(readability-const-return-type) // PR #3263
     reference operator*() const {
         init();
         return value;
     }
 
     pointer operator->() const {
         init();
         return &value;
     }
 
     /** \rst
          The value which marks the end of the iteration. ``it == iterator::sentinel()``
          is equivalent to catching ``StopIteration`` in Python.
 
          .. code-block:: cpp
 
              void foo(py::iterator it) {
                  while (it != py::iterator::sentinel()) {
                     // use `*it`
                     ++it;
                  }
              }
     \endrst */
     static iterator sentinel() { return {}; }
 
     friend bool operator==(const iterator &a, const iterator &b) { return a->ptr() == b->ptr(); }
     friend bool operator!=(const iterator &a, const iterator &b) { return a->ptr() != b->ptr(); }
 
 private:
     void init() const {
         if (m_ptr && !value.ptr()) {
             auto &self = const_cast<iterator &>(*this);
             self.advance();
         }
     }
 
     void advance() {
         value = reinterpret_steal<object>(PyIter_Next(m_ptr));
         if (value.ptr() == nullptr && PyErr_Occurred()) {
             throw error_already_set();
         }
     }
 
 private:
     object value;
 };
 
 class type : public object {
 public:
     PYBIND11_OBJECT(type, object, PyType_Check)
 
     /// Return a type handle from a handle or an object
     static handle handle_of(handle h) {
         return handle(reinterpret_cast<PyObject *>(Py_TYPE(h.ptr())));
     }
 
     /// Return a type object from a handle or an object
     static type of(handle h) { return type(type::handle_of(h), borrowed_t{}); }
 
     // Defined in pybind11/cast.h
     /// Convert C++ type to handle if previously registered. Does not convert
     /// standard types, like int, float. etc. yet.
     /// See https://github.com/pybind/pybind11/issues/2486
     template <typename T>
     static handle handle_of();
 
     /// Convert C++ type to type if previously registered. Does not convert
     /// standard types, like int, float. etc. yet.
     /// See https://github.com/pybind/pybind11/issues/2486
     template <typename T>
     static type of() {
         return type(type::handle_of<T>(), borrowed_t{});
     }
 };
 
 class iterable : public object {
 public:
     PYBIND11_OBJECT_DEFAULT(iterable, object, detail::PyIterable_Check)
 };
 
 class bytes;
 
 class str : public object {
 public:
     PYBIND11_OBJECT_CVT(str, object, PYBIND11_STR_CHECK_FUN, raw_str)
 
     template <typename SzType, detail::enable_if_t<std::is_integral<SzType>::value, int> = 0>
     str(const char *c, const SzType &n)
         : object(PyUnicode_FromStringAndSize(c, ssize_t_cast(n)), stolen_t{}) {
         if (!m_ptr) {
             if (PyErr_Occurred()) {
                 throw error_already_set();
             }
             pybind11_fail("Could not allocate string object!");
         }
     }
 
     // 'explicit' is explicitly omitted from the following constructors to allow implicit
     // conversion to py::str from C++ string-like objects
     // NOLINTNEXTLINE(google-explicit-constructor)
     str(const char *c = "") : object(PyUnicode_FromString(c), stolen_t{}) {
         if (!m_ptr) {
             if (PyErr_Occurred()) {
                 throw error_already_set();
             }
             pybind11_fail("Could not allocate string object!");
         }
     }
 
     // NOLINTNEXTLINE(google-explicit-constructor)
     str(const std::string &s) : str(s.data(), s.size()) {}
 
 #ifdef PYBIND11_HAS_STRING_VIEW
     // enable_if is needed to avoid "ambiguous conversion" errors (see PR #3521).
     template <typename T, detail::enable_if_t<std::is_same<T, std::string_view>::value, int> = 0>
     // NOLINTNEXTLINE(google-explicit-constructor)
     str(T s) : str(s.data(), s.size()) {}
 
 #    ifdef PYBIND11_HAS_U8STRING
     // reinterpret_cast here is safe (C++20 guarantees char8_t has the same size/alignment as char)
     // NOLINTNEXTLINE(google-explicit-constructor)
     str(std::u8string_view s) : str(reinterpret_cast<const char *>(s.data()), s.size()) {}
 #    endif
 
 #endif
 
     explicit str(const bytes &b);
 
     /** \rst
         Return a string representation of the object. This is analogous to
         the ``str()`` function in Python.
     \endrst */
     // Templatized to avoid ambiguity with str(const object&) for object-derived types.
     template <typename T,
               detail::enable_if_t<!std::is_base_of<object, detail::remove_cvref_t<T>>::value
                                       && std::is_constructible<handle, T>::value,
                                   int>
               = 0>
     explicit str(T &&h) : object(raw_str(handle(std::forward<T>(h)).ptr()), stolen_t{}) {
         if (!m_ptr) {
             throw error_already_set();
         }
     }
 
     // NOLINTNEXTLINE(google-explicit-constructor)
     operator std::string() const {
         object temp = *this;
         if (PyUnicode_Check(m_ptr)) {
             temp = reinterpret_steal<object>(PyUnicode_AsUTF8String(m_ptr));
             if (!temp) {
                 throw error_already_set();
             }
         }
         char *buffer = nullptr;
         ssize_t length = 0;
         if (PyBytes_AsStringAndSize(temp.ptr(), &buffer, &length) != 0) {
             throw error_already_set();
         }
         return std::string(buffer, static_cast<size_t>(length));
     }
 
     template <typename... Args>
     str format(Args &&...args) const {
         return attr("format")(std::forward<Args>(args)...);
     }
 
 private:
     /// Return string representation -- always returns a new reference, even if already a str
     static PyObject *raw_str(PyObject *op) {
         PyObject *str_value = PyObject_Str(op);
         return str_value;
     }
 };
 /// @} pytypes
 
 inline namespace literals {
 /** \rst
     String literal version of `str`
  \endrst */
 inline str
 #if !defined(__clang__) && defined(__GNUC__) && __GNUC__ < 5
 operator"" _s // gcc 4.8.5 insists on having a space (hard error).
 #else
 operator""_s // clang 17 generates a deprecation warning if there is a space.
 #endif
     (const char *s, size_t size) {
     return {s, size};
 }
 } // namespace literals
 
 /// \addtogroup pytypes
 /// @{
 class bytes : public object {
 public:
     PYBIND11_OBJECT(bytes, object, PYBIND11_BYTES_CHECK)
 
     // Allow implicit conversion:
     // NOLINTNEXTLINE(google-explicit-constructor)
     bytes(const char *c = "") : object(PYBIND11_BYTES_FROM_STRING(c), stolen_t{}) {
         if (!m_ptr) {
             pybind11_fail("Could not allocate bytes object!");
         }
     }
 
     template <typename SzType, detail::enable_if_t<std::is_integral<SzType>::value, int> = 0>
     bytes(const char *c, const SzType &n)
         : object(PYBIND11_BYTES_FROM_STRING_AND_SIZE(c, ssize_t_cast(n)), stolen_t{}) {
         if (!m_ptr) {
             pybind11_fail("Could not allocate bytes object!");
         }
     }
 
     // Allow implicit conversion:
     // NOLINTNEXTLINE(google-explicit-constructor)
     bytes(const std::string &s) : bytes(s.data(), s.size()) {}
 
     explicit bytes(const pybind11::str &s);
 
     // NOLINTNEXTLINE(google-explicit-constructor)
     operator std::string() const { return string_op<std::string>(); }
 
 #ifdef PYBIND11_HAS_STRING_VIEW
     // enable_if is needed to avoid "ambiguous conversion" errors (see PR #3521).
     template <typename T, detail::enable_if_t<std::is_same<T, std::string_view>::value, int> = 0>
     // NOLINTNEXTLINE(google-explicit-constructor)
     bytes(T s) : bytes(s.data(), s.size()) {}
 
     // Obtain a string view that views the current `bytes` buffer value.  Note that this is only
     // valid so long as the `bytes` instance remains alive and so generally should not outlive the
     // lifetime of the `bytes` instance.
     // NOLINTNEXTLINE(google-explicit-constructor)
     operator std::string_view() const { return string_op<std::string_view>(); }
 #endif
 private:
     template <typename T>
     T string_op() const {
         char *buffer = nullptr;
         ssize_t length = 0;
         if (PyBytes_AsStringAndSize(m_ptr, &buffer, &length) != 0) {
             throw error_already_set();
         }
         return {buffer, static_cast<size_t>(length)};
     }
 };
 // Note: breathe >= 4.17.0 will fail to build docs if the below two constructors
 // are included in the doxygen group; close here and reopen after as a workaround
 /// @} pytypes
 
 inline bytes::bytes(const pybind11::str &s) {
     object temp = s;
     if (PyUnicode_Check(s.ptr())) {
         temp = reinterpret_steal<object>(PyUnicode_AsUTF8String(s.ptr()));
         if (!temp) {
             throw error_already_set();
         }
     }
     char *buffer = nullptr;
     ssize_t length = 0;
     if (PyBytes_AsStringAndSize(temp.ptr(), &buffer, &length) != 0) {
         throw error_already_set();
     }
     auto obj = reinterpret_steal<object>(PYBIND11_BYTES_FROM_STRING_AND_SIZE(buffer, length));
     if (!obj) {
         pybind11_fail("Could not allocate bytes object!");
     }
     m_ptr = obj.release().ptr();
 }
 
 inline str::str(const bytes &b) {
     char *buffer = nullptr;
     ssize_t length = 0;
     if (PyBytes_AsStringAndSize(b.ptr(), &buffer, &length) != 0) {
         throw error_already_set();
     }
     auto obj = reinterpret_steal<object>(PyUnicode_FromStringAndSize(buffer, length));
     if (!obj) {
         if (PyErr_Occurred()) {
             throw error_already_set();
         }
         pybind11_fail("Could not allocate string object!");
     }
     m_ptr = obj.release().ptr();
 }
 
 /// \addtogroup pytypes
 /// @{
 class bytearray : public object {
 public:
     PYBIND11_OBJECT_CVT(bytearray, object, PyByteArray_Check, PyByteArray_FromObject)
 
     template <typename SzType, detail::enable_if_t<std::is_integral<SzType>::value, int> = 0>
     bytearray(const char *c, const SzType &n)
         : object(PyByteArray_FromStringAndSize(c, ssize_t_cast(n)), stolen_t{}) {
         if (!m_ptr) {
             pybind11_fail("Could not allocate bytearray object!");
         }
     }
 
     bytearray() : bytearray("", 0) {}
 
     explicit bytearray(const std::string &s) : bytearray(s.data(), s.size()) {}
 
     size_t size() const { return static_cast<size_t>(PyByteArray_Size(m_ptr)); }
 
     explicit operator std::string() const {
         char *buffer = PyByteArray_AS_STRING(m_ptr);
         ssize_t size = PyByteArray_GET_SIZE(m_ptr);
         return std::string(buffer, static_cast<size_t>(size));
     }
 };
 // Note: breathe >= 4.17.0 will fail to build docs if the below two constructors
 // are included in the doxygen group; close here and reopen after as a workaround
 /// @} pytypes
 
 /// \addtogroup pytypes
 /// @{
 class none : public object {
 public:
     PYBIND11_OBJECT(none, object, detail::PyNone_Check)
     none() : object(Py_None, borrowed_t{}) {}
 };
 
 class ellipsis : public object {
 public:
     PYBIND11_OBJECT(ellipsis, object, detail::PyEllipsis_Check)
     ellipsis() : object(Py_Ellipsis, borrowed_t{}) {}
 };
 
 class bool_ : public object {
 public:
     PYBIND11_OBJECT_CVT(bool_, object, PyBool_Check, raw_bool)
     bool_() : object(Py_False, borrowed_t{}) {}
     // Allow implicit conversion from and to `bool`:
     // NOLINTNEXTLINE(google-explicit-constructor)
     bool_(bool value) : object(value ? Py_True : Py_False, borrowed_t{}) {}
     // NOLINTNEXTLINE(google-explicit-constructor)
     operator bool() const { return (m_ptr != nullptr) && PyLong_AsLong(m_ptr) != 0; }
 
 private:
     /// Return the truth value of an object -- always returns a new reference
     static PyObject *raw_bool(PyObject *op) {
         const auto value = PyObject_IsTrue(op);
         if (value == -1) {
             return nullptr;
         }
         return handle(value != 0 ? Py_True : Py_False).inc_ref().ptr();
     }
 };
 
 PYBIND11_NAMESPACE_BEGIN(detail)
 // Converts a value to the given unsigned type.  If an error occurs, you get back (Unsigned) -1;
 // otherwise you get back the unsigned long or unsigned long long value cast to (Unsigned).
 // (The distinction is critically important when casting a returned -1 error value to some other
 // unsigned type: (A)-1 != (B)-1 when A and B are unsigned types of different sizes).
 template <typename Unsigned>
 Unsigned as_unsigned(PyObject *o) {
     if (sizeof(Unsigned) <= sizeof(unsigned long)) {
         unsigned long v = PyLong_AsUnsignedLong(o);
         return v == static_cast<unsigned long>(-1) && PyErr_Occurred() ? (Unsigned) -1
                                                                        : (Unsigned) v;
     }
     unsigned long long v = PyLong_AsUnsignedLongLong(o);
     return v == static_cast<unsigned long long>(-1) && PyErr_Occurred() ? (Unsigned) -1
                                                                         : (Unsigned) v;
 }
 PYBIND11_NAMESPACE_END(detail)
 
 class int_ : public object {
 public:
     PYBIND11_OBJECT_CVT(int_, object, PYBIND11_LONG_CHECK, PyNumber_Long)
     int_() : object(PyLong_FromLong(0), stolen_t{}) {}
     // Allow implicit conversion from C++ integral types:
     template <typename T, detail::enable_if_t<std::is_integral<T>::value, int> = 0>
     // NOLINTNEXTLINE(google-explicit-constructor)
     int_(T value) {
         if (sizeof(T) <= sizeof(long)) {
             if (std::is_signed<T>::value) {
                 m_ptr = PyLong_FromLong((long) value);
             } else {
                 m_ptr = PyLong_FromUnsignedLong((unsigned long) value);
             }
         } else {
             if (std::is_signed<T>::value) {
                 m_ptr = PyLong_FromLongLong((long long) value);
             } else {
                 m_ptr = PyLong_FromUnsignedLongLong((unsigned long long) value);
             }
         }
         if (!m_ptr) {
             pybind11_fail("Could not allocate int object!");
         }
     }
 
     template <typename T, detail::enable_if_t<std::is_integral<T>::value, int> = 0>
     // NOLINTNEXTLINE(google-explicit-constructor)
     operator T() const {
         return std::is_unsigned<T>::value  ? detail::as_unsigned<T>(m_ptr)
                : sizeof(T) <= sizeof(long) ? (T) PyLong_AsLong(m_ptr)
                                            : (T) PYBIND11_LONG_AS_LONGLONG(m_ptr);
     }
 };
 
 class float_ : public object {
 public:
     PYBIND11_OBJECT_CVT(float_, object, PyFloat_Check, PyNumber_Float)
     // Allow implicit conversion from float/double:
     // NOLINTNEXTLINE(google-explicit-constructor)
     float_(float value) : object(PyFloat_FromDouble(static_cast<double>(value)), stolen_t{}) {
         if (!m_ptr) {
             pybind11_fail("Could not allocate float object!");
         }
     }
     // NOLINTNEXTLINE(google-explicit-constructor)
     float_(double value = .0) : object(PyFloat_FromDouble(value), stolen_t{}) {
         if (!m_ptr) {
             pybind11_fail("Could not allocate float object!");
         }
     }
     // NOLINTNEXTLINE(google-explicit-constructor)
     operator float() const { return static_cast<float>(PyFloat_AsDouble(m_ptr)); }
     // NOLINTNEXTLINE(google-explicit-constructor)
     operator double() const { return PyFloat_AsDouble(m_ptr); }
 };
 
 class weakref : public object {
 public:
     PYBIND11_OBJECT_CVT_DEFAULT(weakref, object, PyWeakref_Check, raw_weakref)
     explicit weakref(handle obj, handle callback = {})
         : object(PyWeakref_NewRef(obj.ptr(), callback.ptr()), stolen_t{}) {
         if (!m_ptr) {
             if (PyErr_Occurred()) {
                 throw error_already_set();
             }
             pybind11_fail("Could not allocate weak reference!");
         }
     }
 
 private:
     static PyObject *raw_weakref(PyObject *o) { return PyWeakref_NewRef(o, nullptr); }
 };
 
 class slice : public object {
 public:
     PYBIND11_OBJECT(slice, object, PySlice_Check)
     slice(handle start, handle stop, handle step)
         : object(PySlice_New(start.ptr(), stop.ptr(), step.ptr()), stolen_t{}) {
         if (!m_ptr) {
             pybind11_fail("Could not allocate slice object!");
         }
     }
     slice() : slice(none(), none(), none()) {}
 
 #ifdef PYBIND11_HAS_OPTIONAL
     slice(std::optional<ssize_t> start, std::optional<ssize_t> stop, std::optional<ssize_t> step)
         : slice(index_to_object(start), index_to_object(stop), index_to_object(step)) {}
 #else
     slice(ssize_t start_, ssize_t stop_, ssize_t step_)
         : slice(int_(start_), int_(stop_), int_(step_)) {}
 #endif
 
     bool
     compute(size_t length, size_t *start, size_t *stop, size_t *step, size_t *slicelength) const {
         return PySlice_GetIndicesEx((PYBIND11_SLICE_OBJECT *) m_ptr,
                                     (ssize_t) length,
                                     (ssize_t *) start,
                                     (ssize_t *) stop,
                                     (ssize_t *) step,
                                     (ssize_t *) slicelength)
                == 0;
     }
     bool compute(
         ssize_t length, ssize_t *start, ssize_t *stop, ssize_t *step, ssize_t *slicelength) const {
         return PySlice_GetIndicesEx(
                    (PYBIND11_SLICE_OBJECT *) m_ptr, length, start, stop, step, slicelength)
                == 0;
     }
 
 private:
     template <typename T>
     static object index_to_object(T index) {
         return index ? object(int_(*index)) : object(none());
     }
 };
 
 class capsule : public object {
 public:
     PYBIND11_OBJECT_DEFAULT(capsule, object, PyCapsule_CheckExact)
     PYBIND11_DEPRECATED("Use reinterpret_borrow<capsule>() or reinterpret_steal<capsule>()")
     capsule(PyObject *ptr, bool is_borrowed)
         : object(is_borrowed ? object(ptr, borrowed_t{}) : object(ptr, stolen_t{})) {}
 
     explicit capsule(const void *value,
                      const char *name = nullptr,
                      PyCapsule_Destructor destructor = nullptr)
         : object(PyCapsule_New(const_cast<void *>(value), name, destructor), stolen_t{}) {
         if (!m_ptr) {
             throw error_already_set();
         }
     }
 
     PYBIND11_DEPRECATED("Please use the ctor with value, name, destructor args")
     capsule(const void *value, PyCapsule_Destructor destructor)
         : object(PyCapsule_New(const_cast<void *>(value), nullptr, destructor), stolen_t{}) {
         if (!m_ptr) {
             throw error_already_set();
         }
     }
 
     /// Capsule name is nullptr.
     capsule(const void *value, void (*destructor)(void *)) {
         initialize_with_void_ptr_destructor(value, nullptr, destructor);
     }
 
     capsule(const void *value, const char *name, void (*destructor)(void *)) {
         initialize_with_void_ptr_destructor(value, name, destructor);
     }
 
     explicit capsule(void (*destructor)()) {
         m_ptr = PyCapsule_New(reinterpret_cast<void *>(destructor), nullptr, [](PyObject *o) {
             const char *name = get_name_in_error_scope(o);
             auto destructor = reinterpret_cast<void (*)()>(PyCapsule_GetPointer(o, name));
             if (destructor == nullptr) {
                 throw error_already_set();
             }
             destructor();
         });
 
         if (!m_ptr) {
             throw error_already_set();
         }
     }
 
     template <typename T>
     operator T *() const { // NOLINT(google-explicit-constructor)
         return get_pointer<T>();
     }
 
     /// Get the pointer the capsule holds.
     template <typename T = void>
     T *get_pointer() const {
         const auto *name = this->name();
         T *result = static_cast<T *>(PyCapsule_GetPointer(m_ptr, name));
         if (!result) {
             throw error_already_set();
         }
         return result;
     }
 
     /// Replaces a capsule's pointer *without* calling the destructor on the existing one.
     void set_pointer(const void *value) {
         if (PyCapsule_SetPointer(m_ptr, const_cast<void *>(value)) != 0) {
             throw error_already_set();
         }
     }
 
     const char *name() const {
         const char *name = PyCapsule_GetName(m_ptr);
         if ((name == nullptr) && PyErr_Occurred()) {
             throw error_already_set();
         }
         return name;
     }
 
     /// Replaces a capsule's name *without* calling the destructor on the existing one.
     void set_name(const char *new_name) {
         if (PyCapsule_SetName(m_ptr, new_name) != 0) {
             throw error_already_set();
         }
     }
 
 private:
     static const char *get_name_in_error_scope(PyObject *o) {
         error_scope error_guard;
 
         const char *name = PyCapsule_GetName(o);
         if ((name == nullptr) && PyErr_Occurred()) {
             // write out and consume error raised by call to PyCapsule_GetName
             PyErr_WriteUnraisable(o);
         }
 
         return name;
     }
 
     void initialize_with_void_ptr_destructor(const void *value,
                                              const char *name,
                                              void (*destructor)(void *)) {
         m_ptr = PyCapsule_New(const_cast<void *>(value), name, [](PyObject *o) {
             // guard if destructor called while err indicator is set
             error_scope error_guard;
             auto destructor = reinterpret_cast<void (*)(void *)>(PyCapsule_GetContext(o));
             if (destructor == nullptr && PyErr_Occurred()) {
                 throw error_already_set();
             }
             const char *name = get_name_in_error_scope(o);
             void *ptr = PyCapsule_GetPointer(o, name);
             if (ptr == nullptr) {
                 throw error_already_set();
             }
 
             if (destructor != nullptr) {
                 destructor(ptr);
             }
         });
 
         if (!m_ptr || PyCapsule_SetContext(m_ptr, reinterpret_cast<void *>(destructor)) != 0) {
             throw error_already_set();
         }
     }
 };
 
 class tuple : public object {
 public:
     PYBIND11_OBJECT_CVT(tuple, object, PyTuple_Check, PySequence_Tuple)
     template <typename SzType = ssize_t,
               detail::enable_if_t<std::is_integral<SzType>::value, int> = 0>
     // Some compilers generate link errors when using `const SzType &` here:
     explicit tuple(SzType size = 0) : object(PyTuple_New(ssize_t_cast(size)), stolen_t{}) {
         if (!m_ptr) {
             pybind11_fail("Could not allocate tuple object!");
         }
     }
     size_t size() const { return static_cast<size_t>(PyTuple_Size(m_ptr)); }
     bool empty() const { return size() == 0; }
     detail::tuple_accessor operator[](size_t index) const { return {*this, index}; }
     template <typename T, detail::enable_if_t<detail::is_pyobject<T>::value, int> = 0>
     detail::item_accessor operator[](T &&o) const {
         return object::operator[](std::forward<T>(o));
     }
     detail::tuple_iterator begin() const { return {*this, 0}; }
     detail::tuple_iterator end() const { return {*this, PyTuple_GET_SIZE(m_ptr)}; }
 };
 
 // We need to put this into a separate function because the Intel compiler
 // fails to compile enable_if_t<all_of<is_keyword_or_ds<Args>...>::value> part below
 // (tested with ICC 2021.1 Beta 20200827).
 template <typename... Args>
 constexpr bool args_are_all_keyword_or_ds() {
     return detail::all_of<detail::is_keyword_or_ds<Args>...>::value;
 }
 
 class dict : public object {
 public:
     PYBIND11_OBJECT_CVT(dict, object, PyDict_Check, raw_dict)
     dict() : object(PyDict_New(), stolen_t{}) {
         if (!m_ptr) {
             pybind11_fail("Could not allocate dict object!");
         }
     }
     template <typename... Args,
               typename = detail::enable_if_t<args_are_all_keyword_or_ds<Args...>()>,
               // MSVC workaround: it can't compile an out-of-line definition, so defer the
               // collector
               typename collector = detail::deferred_t<detail::unpacking_collector<>, Args...>>
     explicit dict(Args &&...args) : dict(collector(std::forward<Args>(args)...).kwargs()) {}
 
     size_t size() const { return static_cast<size_t>(PyDict_Size(m_ptr)); }
     bool empty() const { return size() == 0; }
     detail::dict_iterator begin() const { return {*this, 0}; }
     detail::dict_iterator end() const { return {}; }
     void clear() /* py-non-const */ { PyDict_Clear(ptr()); }
     template <typename T>
     bool contains(T &&key) const {
         auto result = PyDict_Contains(m_ptr, detail::object_or_cast(std::forward<T>(key)).ptr());
         if (result == -1) {
             throw error_already_set();
         }
         return result == 1;
     }
 
 private:
     /// Call the `dict` Python type -- always returns a new reference
     static PyObject *raw_dict(PyObject *op) {
         if (PyDict_Check(op)) {
             return handle(op).inc_ref().ptr();
         }
         return PyObject_CallFunctionObjArgs(
             reinterpret_cast<PyObject *>(&PyDict_Type), op, nullptr);
     }
 };
 
 class sequence : public object {
 public:
     PYBIND11_OBJECT_DEFAULT(sequence, object, PySequence_Check)
     size_t size() const {
         ssize_t result = PySequence_Size(m_ptr);
         if (result == -1) {
             throw error_already_set();
         }
         return static_cast<size_t>(result);
     }
     bool empty() const { return size() == 0; }
     detail::sequence_accessor operator[](size_t index) const { return {*this, index}; }
     template <typename T, detail::enable_if_t<detail::is_pyobject<T>::value, int> = 0>
     detail::item_accessor operator[](T &&o) const {
         return object::operator[](std::forward<T>(o));
     }
     detail::sequence_iterator begin() const { return {*this, 0}; }
     detail::sequence_iterator end() const { return {*this, PySequence_Size(m_ptr)}; }
 };
 
 class list : public object {
 public:
     PYBIND11_OBJECT_CVT(list, object, PyList_Check, PySequence_List)
     template <typename SzType = ssize_t,
               detail::enable_if_t<std::is_integral<SzType>::value, int> = 0>
     // Some compilers generate link errors when using `const SzType &` here:
     explicit list(SzType size = 0) : object(PyList_New(ssize_t_cast(size)), stolen_t{}) {
         if (!m_ptr) {
             pybind11_fail("Could not allocate list object!");
         }
     }
     size_t size() const { return static_cast<size_t>(PyList_Size(m_ptr)); }
     bool empty() const { return size() == 0; }
     detail::list_accessor operator[](size_t index) const { return {*this, index}; }
     template <typename T, detail::enable_if_t<detail::is_pyobject<T>::value, int> = 0>
     detail::item_accessor operator[](T &&o) const {
         return object::operator[](std::forward<T>(o));
     }
     detail::list_iterator begin() const { return {*this, 0}; }
     detail::list_iterator end() const { return {*this, PyList_GET_SIZE(m_ptr)}; }
     template <typename T>
     void append(T &&val) /* py-non-const */ {
         if (PyList_Append(m_ptr, detail::object_or_cast(std::forward<T>(val)).ptr()) != 0) {
             throw error_already_set();
         }
     }
     template <typename IdxType,
               typename ValType,
               detail::enable_if_t<std::is_integral<IdxType>::value, int> = 0>
     void insert(const IdxType &index, ValType &&val) /* py-non-const */ {
         if (PyList_Insert(m_ptr,
                           ssize_t_cast(index),
                           detail::object_or_cast(std::forward<ValType>(val)).ptr())
             != 0) {
             throw error_already_set();
         }
     }
     void clear() /* py-non-const */ {
         if (PyList_SetSlice(m_ptr, 0, PyList_Size(m_ptr), nullptr) == -1) {
             throw error_already_set();
         }
     }
 };
 
 class args : public tuple {
     PYBIND11_OBJECT_DEFAULT(args, tuple, PyTuple_Check)
 };
 class kwargs : public dict {
     PYBIND11_OBJECT_DEFAULT(kwargs, dict, PyDict_Check)
 };
 
 // Subclasses of args and kwargs to support type hinting
 // as defined in PEP 484. See #5357 for more info.
 template <typename T>
 class Args : public args {
     using args::args;
 };
 
 template <typename T>
 class KWArgs : public kwargs {
     using kwargs::kwargs;
 };
 
 class anyset : public object {
 public:
     PYBIND11_OBJECT(anyset, object, PyAnySet_Check)
     size_t size() const { return static_cast<size_t>(PySet_Size(m_ptr)); }
     bool empty() const { return size() == 0; }
     template <typename T>
     bool contains(T &&val) const {
         auto result = PySet_Contains(m_ptr, detail::object_or_cast(std::forward<T>(val)).ptr());
         if (result == -1) {
             throw error_already_set();
         }
         return result == 1;
     }
 };
 
 class set : public anyset {
 public:
     PYBIND11_OBJECT_CVT(set, anyset, PySet_Check, PySet_New)
     set() : anyset(PySet_New(nullptr), stolen_t{}) {
         if (!m_ptr) {
             pybind11_fail("Could not allocate set object!");
         }
     }
     template <typename T>
     bool add(T &&val) /* py-non-const */ {
         return PySet_Add(m_ptr, detail::object_or_cast(std::forward<T>(val)).ptr()) == 0;
     }
     void clear() /* py-non-const */ { PySet_Clear(m_ptr); }
 };
 
 class frozenset : public anyset {
 public:
     PYBIND11_OBJECT_CVT(frozenset, anyset, PyFrozenSet_Check, PyFrozenSet_New)
 };
 
 class function : public object {
 public:
     PYBIND11_OBJECT_DEFAULT(function, object, PyCallable_Check)
     handle cpp_function() const {
         handle fun = detail::get_function(m_ptr);
         if (fun && PyCFunction_Check(fun.ptr())) {
             return fun;
         }
         return handle();
     }
     bool is_cpp_function() const { return (bool) cpp_function(); }
 };
 
 class staticmethod : public object {
 public:
     PYBIND11_OBJECT_CVT(staticmethod, object, detail::PyStaticMethod_Check, PyStaticMethod_New)
 };
 
 class buffer : public object {
 public:
     PYBIND11_OBJECT_DEFAULT(buffer, object, PyObject_CheckBuffer)
 
     buffer_info request(bool writable = false) const {
         int flags = PyBUF_STRIDES | PyBUF_FORMAT;
         if (writable) {
             flags |= PyBUF_WRITABLE;
         }
         auto *view = new Py_buffer();
         if (PyObject_GetBuffer(m_ptr, view, flags) != 0) {
             delete view;
             throw error_already_set();
         }
         return buffer_info(view);
     }
 };
 
 class memoryview : public object {
 public:
     PYBIND11_OBJECT_CVT(memoryview, object, PyMemoryView_Check, PyMemoryView_FromObject)
 
     /** \rst
         Creates ``memoryview`` from ``buffer_info``.
 
         ``buffer_info`` must be created from ``buffer::request()``. Otherwise
         throws an exception.
 
         For creating a ``memoryview`` from objects that support buffer protocol,
         use ``memoryview(const object& obj)`` instead of this constructor.
      \endrst */
     explicit memoryview(const buffer_info &info) {
         if (!info.view()) {
             pybind11_fail("Prohibited to create memoryview without Py_buffer");
         }
         // Note: PyMemoryView_FromBuffer never increments obj reference.
         m_ptr = (info.view()->obj) ? PyMemoryView_FromObject(info.view()->obj)
                                    : PyMemoryView_FromBuffer(info.view());
         if (!m_ptr) {
             pybind11_fail("Unable to create memoryview from buffer descriptor");
         }
     }
 
     /** \rst
         Creates ``memoryview`` from static buffer.
 
         This method is meant for providing a ``memoryview`` for C/C++ buffer not
         managed by Python. The caller is responsible for managing the lifetime
         of ``ptr`` and ``format``, which MUST outlive the memoryview constructed
         here.
 
         See also: Python C API documentation for `PyMemoryView_FromBuffer`_.
 
         .. _PyMemoryView_FromBuffer:
            https://docs.python.org/c-api/memoryview.html#c.PyMemoryView_FromBuffer
 
         :param ptr: Pointer to the buffer.
         :param itemsize: Byte size of an element.
         :param format: Pointer to the null-terminated format string. For
             homogeneous Buffers, this should be set to
             ``format_descriptor<T>::value``.
         :param shape: Shape of the tensor (1 entry per dimension).
         :param strides: Number of bytes between adjacent entries (for each
             per dimension).
         :param readonly: Flag to indicate if the underlying storage may be
             written to.
      \endrst */
     static memoryview from_buffer(void *ptr,
                                   ssize_t itemsize,
                                   const char *format,
                                   detail::any_container<ssize_t> shape,
                                   detail::any_container<ssize_t> strides,
                                   bool readonly = false);
 
     static memoryview from_buffer(const void *ptr,
                                   ssize_t itemsize,
                                   const char *format,
                                   detail::any_container<ssize_t> shape,
                                   detail::any_container<ssize_t> strides) {
         return memoryview::from_buffer(
             const_cast<void *>(ptr), itemsize, format, std::move(shape), std::move(strides), true);
     }
 
     template <typename T>
     static memoryview from_buffer(T *ptr,
                                   detail::any_container<ssize_t> shape,
                                   detail::any_container<ssize_t> strides,
                                   bool readonly = false) {
         return memoryview::from_buffer(reinterpret_cast<void *>(ptr),
                                        sizeof(T),
                                        format_descriptor<T>::value,
                                        std::move(shape),
                                        std::move(strides),
                                        readonly);
     }
 
     template <typename T>
     static memoryview from_buffer(const T *ptr,
                                   detail::any_container<ssize_t> shape,
                                   detail::any_container<ssize_t> strides) {
         return memoryview::from_buffer(
             const_cast<T *>(ptr), std::move(shape), std::move(strides), true);
     }
 
     /** \rst
         Creates ``memoryview`` from static memory.
 
         This method is meant for providing a ``memoryview`` for C/C++ buffer not
         managed by Python. The caller is responsible for managing the lifetime
         of ``mem``, which MUST outlive the memoryview constructed here.
 
         See also: Python C API documentation for `PyMemoryView_FromBuffer`_.
 
         .. _PyMemoryView_FromMemory:
            https://docs.python.org/c-api/memoryview.html#c.PyMemoryView_FromMemory
      \endrst */
     static memoryview from_memory(void *mem, ssize_t size, bool readonly = false) {
         PyObject *ptr = PyMemoryView_FromMemory(
             reinterpret_cast<char *>(mem), size, (readonly) ? PyBUF_READ : PyBUF_WRITE);
         if (!ptr) {
             pybind11_fail("Could not allocate memoryview object!");
         }
         return memoryview(object(ptr, stolen_t{}));
     }
 
     static memoryview from_memory(const void *mem, ssize_t size) {
         return memoryview::from_memory(const_cast<void *>(mem), size, true);
     }
 
 #ifdef PYBIND11_HAS_STRING_VIEW
     static memoryview from_memory(std::string_view mem) {
         return from_memory(const_cast<char *>(mem.data()), static_cast<ssize_t>(mem.size()), true);
     }
 #endif
 };
 
 /// @cond DUPLICATE
 inline memoryview memoryview::from_buffer(void *ptr,
                                           ssize_t itemsize,
                                           const char *format,
                                           detail::any_container<ssize_t> shape,
                                           detail::any_container<ssize_t> strides,
                                           bool readonly) {
     size_t ndim = shape->size();
     if (ndim != strides->size()) {
         pybind11_fail("memoryview: shape length doesn't match strides length");
     }
     ssize_t size = ndim != 0u ? 1 : 0;
     for (size_t i = 0; i < ndim; ++i) {
         size *= (*shape)[i];
     }
     Py_buffer view;
     view.buf = ptr;
     view.obj = nullptr;
     view.len = size * itemsize;
     view.readonly = static_cast<int>(readonly);
     view.itemsize = itemsize;
     view.format = const_cast<char *>(format);
     view.ndim = static_cast<int>(ndim);
     view.shape = shape->data();
     view.strides = strides->data();
     view.suboffsets = nullptr;
     view.internal = nullptr;
     PyObject *obj = PyMemoryView_FromBuffer(&view);
     if (!obj) {
         throw error_already_set();
     }
     return memoryview(object(obj, stolen_t{}));
 }
 /// @endcond
 /// @} pytypes
 
 /// \addtogroup python_builtins
 /// @{
 
 /// Get the length of a Python object.
 inline size_t len(handle h) {
     ssize_t result = PyObject_Length(h.ptr());
     if (result < 0) {
         throw error_already_set();
     }
     return static_cast<size_t>(result);
 }
 
 /// Get the length hint of a Python object.
 /// Returns 0 when this cannot be determined.
 inline size_t len_hint(handle h) {
     ssize_t result = PyObject_LengthHint(h.ptr(), 0);
     if (result < 0) {
         // Sometimes a length can't be determined at all (eg generators)
         // In which case simply return 0
         PyErr_Clear();
         return 0;
     }
     return static_cast<size_t>(result);
 }
 
 inline str repr(handle h) {
     PyObject *str_value = PyObject_Repr(h.ptr());
     if (!str_value) {
         throw error_already_set();
     }
     return reinterpret_steal<str>(str_value);
 }
 
 inline iterator iter(handle obj) {
     PyObject *result = PyObject_GetIter(obj.ptr());
     if (!result) {
         throw error_already_set();
     }
     return reinterpret_steal<iterator>(result);
 }
 /// @} python_builtins
 
 PYBIND11_NAMESPACE_BEGIN(detail)
 template <typename D>
 iterator object_api<D>::begin() const {
     return iter(derived());
 }
 template <typename D>
 iterator object_api<D>::end() const {
     return iterator::sentinel();
 }
 template <typename D>
 item_accessor object_api<D>::operator[](handle key) const {
     return {derived(), reinterpret_borrow<object>(key)};
 }
 template <typename D>
 item_accessor object_api<D>::operator[](object &&key) const {
     return {derived(), std::move(key)};
 }
 template <typename D>
 item_accessor object_api<D>::operator[](const char *key) const {
     return {derived(), pybind11::str(key)};
 }
 template <typename D>
 obj_attr_accessor object_api<D>::attr(handle key) const {
     return {derived(), reinterpret_borrow<object>(key)};
 }
 template <typename D>
 obj_attr_accessor object_api<D>::attr(object &&key) const {
     return {derived(), std::move(key)};
 }
 template <typename D>
 str_attr_accessor object_api<D>::attr(const char *key) const {
     return {derived(), key};
 }
 template <typename D>
 args_proxy object_api<D>::operator*() const {
     return args_proxy(derived().ptr());
 }
 template <typename D>
 template <typename T>
 bool object_api<D>::contains(T &&item) const {
     return attr("__contains__")(std::forward<T>(item)).template cast<bool>();
 }
 
 template <typename D>
 pybind11::str object_api<D>::str() const {
     return pybind11::str(derived());
 }
 
 template <typename D>
 str_attr_accessor object_api<D>::doc() const {
     return attr("__doc__");
 }
 
 template <typename D>
 object object_api<D>::annotations() const {
 // This is needed again because of the lazy annotations added in 3.14+
 #if PY_VERSION_HEX < 0x030A0000 || PY_VERSION_HEX >= 0x030E0000
     // https://docs.python.org/3/howto/annotations.html#accessing-the-annotations-dict-of-an-object-in-python-3-9-and-older
     if (!hasattr(derived(), "__annotations__")) {
         setattr(derived(), "__annotations__", dict());
     }
     return attr("__annotations__");
 #else
     return getattr(derived(), "__annotations__", dict());
 #endif
 }
 
 template <typename D>
 handle object_api<D>::get_type() const {
     return type::handle_of(derived());
 }
 
 template <typename D>
 bool object_api<D>::rich_compare(object_api const &other, int value) const {
     int rv = PyObject_RichCompareBool(derived().ptr(), other.derived().ptr(), value);
     if (rv == -1) {
         throw error_already_set();
     }
     return rv == 1;
 }
 
 #define PYBIND11_MATH_OPERATOR_UNARY(op, fn)                                                      \
     template <typename D>                                                                         \
     object object_api<D>::op() const {                                                            \
         object result = reinterpret_steal<object>(fn(derived().ptr()));                           \
         if (!result.ptr())                                                                        \
             throw error_already_set();                                                            \
         return result;                                                                            \
     }
 
 #define PYBIND11_MATH_OPERATOR_BINARY(op, fn)                                                     \
     template <typename D>                                                                         \
     object object_api<D>::op(object_api const &other) const {                                     \
         object result = reinterpret_steal<object>(fn(derived().ptr(), other.derived().ptr()));    \
         if (!result.ptr())                                                                        \
             throw error_already_set();                                                            \
         return result;                                                                            \
     }
 
 #define PYBIND11_MATH_OPERATOR_BINARY_INPLACE(iop, fn)                                            \
     template <typename D>                                                                         \
     object object_api<D>::iop(object_api const &other) {                                          \
         object result = reinterpret_steal<object>(fn(derived().ptr(), other.derived().ptr()));    \
         if (!result.ptr())                                                                        \
             throw error_already_set();                                                            \
         return result;                                                                            \
     }
 
 PYBIND11_MATH_OPERATOR_UNARY(operator~, PyNumber_Invert)
 PYBIND11_MATH_OPERATOR_UNARY(operator-, PyNumber_Negative)
 PYBIND11_MATH_OPERATOR_BINARY(operator+, PyNumber_Add)
 PYBIND11_MATH_OPERATOR_BINARY_INPLACE(operator+=, PyNumber_InPlaceAdd)
 PYBIND11_MATH_OPERATOR_BINARY(operator-, PyNumber_Subtract)
 PYBIND11_MATH_OPERATOR_BINARY_INPLACE(operator-=, PyNumber_InPlaceSubtract)
 PYBIND11_MATH_OPERATOR_BINARY(operator*, PyNumber_Multiply)
 PYBIND11_MATH_OPERATOR_BINARY_INPLACE(operator*=, PyNumber_InPlaceMultiply)
 PYBIND11_MATH_OPERATOR_BINARY(operator/, PyNumber_TrueDivide)
 PYBIND11_MATH_OPERATOR_BINARY_INPLACE(operator/=, PyNumber_InPlaceTrueDivide)
 PYBIND11_MATH_OPERATOR_BINARY(operator|, PyNumber_Or)
 PYBIND11_MATH_OPERATOR_BINARY_INPLACE(operator|=, PyNumber_InPlaceOr)
 PYBIND11_MATH_OPERATOR_BINARY(operator&, PyNumber_And)
 PYBIND11_MATH_OPERATOR_BINARY_INPLACE(operator&=, PyNumber_InPlaceAnd)
 PYBIND11_MATH_OPERATOR_BINARY(operator^, PyNumber_Xor)
 PYBIND11_MATH_OPERATOR_BINARY_INPLACE(operator^=, PyNumber_InPlaceXor)
 PYBIND11_MATH_OPERATOR_BINARY(operator<<, PyNumber_Lshift)
 PYBIND11_MATH_OPERATOR_BINARY_INPLACE(operator<<=, PyNumber_InPlaceLshift)
 PYBIND11_MATH_OPERATOR_BINARY(operator>>, PyNumber_Rshift)
 PYBIND11_MATH_OPERATOR_BINARY_INPLACE(operator>>=, PyNumber_InPlaceRshift)
 
 #undef PYBIND11_MATH_OPERATOR_UNARY
 #undef PYBIND11_MATH_OPERATOR_BINARY
 #undef PYBIND11_MATH_OPERATOR_BINARY_INPLACE
 
 // Meant to return a Python str, but this is not checked.
 inline object get_module_name_if_available(handle scope) {
     if (scope) {
         if (hasattr(scope, "__module__")) {
             return scope.attr("__module__");
         }
         if (hasattr(scope, "__name__")) {
             return scope.attr("__name__");
         }
     }
     return object();
 }
 
 PYBIND11_NAMESPACE_END(detail)
 PYBIND11_NAMESPACE_END(PYBIND11_NAMESPACE)