"""
Copyright (c) 2023-     Advanced Micro Devices, Inc. (Alessandro Pappalardo)
Copyright (c) 2016-     Facebook, Inc            (Adam Paszke)
Copyright (c) 2014-     Facebook, Inc            (Soumith Chintala)
Copyright (c) 2011-2014 Idiap Research Institute (Ronan Collobert)
Copyright (c) 2012-2014 Deepmind Technologies    (Koray Kavukcuoglu)
Copyright (c) 2011-2012 NEC Laboratories America (Koray Kavukcuoglu)
Copyright (c) 2011-2013 NYU                      (Clement Farabet)
Copyright (c) 2006-2010 NEC Laboratories America (Ronan Collobert, Leon Bottou, Iain Melvin, Jason Weston)
Copyright (c) 2006      Idiap Research Institute (Samy Bengio)
Copyright (c) 2001-2004 Idiap Research Institute (Ronan Collobert, Samy Bengio, Johnny Mariethoz)

All rights reserved.

Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are met:

1. Redistributions of source code must retain the above copyright
   notice, this list of conditions and the following disclaimer.

2. Redistributions in binary form must reproduce the above copyright
   notice, this list of conditions and the following disclaimer in the
   documentation and/or other materials provided with the distribution.

3. Neither the names of Xilinx, Facebook, Deepmind Technologies, NYU,
   NEC Laboratories America and IDIAP Research Institute nor the names
   of its contributors may be used to endorse or promote products derived
   from this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
POSSIBILITY OF SUCH DAMAGE.

Forked from PyTorch 2.0.1 + https://github.com/pytorch/pytorch/pull/94461/files#diff-090b22122be0779cd14afd2ebaf20d1e7c0bfe837e9eefa1d84e7521bb1defc6
from https://github.com/pytorch/pytorch/pull/94461/files
"""

import builtins
import collections
import copy
import functools
import inspect
from itertools import chain
import math
import os
from types import CodeType
from types import FunctionType
from types import ModuleType
from typing import Any, Callable, Dict, List, NamedTuple, Optional, Set, Tuple, Type, Union
import warnings

import torch
from torch._C import ScriptObject  # type: ignore[attr-defined]
import torch.utils._pytree as pytree

from ._compatibility import compatibility
from .graph import _PyTreeCodeGen
from .graph import _PyTreeInfo
from .graph import Graph
from .graph_module import GraphModule
from .node import Argument
from .node import base_types
from .node import map_aggregate
from .proxy import ParameterProxy
from .proxy import Proxy
from .proxy import Scope
from .proxy import ScopeContextManager
from .proxy import TracerBase

HAS_VARSTUFF = inspect.CO_VARARGS | inspect.CO_VARKEYWORDS

# These need to run in global scope to handle nested calls correctly
_orig_module_call: Callable = torch.nn.Module.__call__
_orig_module_getattr: Callable = torch.nn.Module.__getattr__

_proxyable_classes: Dict[Type, None] = {}

_is_fx_tracing_flag = False


def is_fx_tracing():
    return _is_fx_tracing_flag


@compatibility(is_backward_compatible=True)
class ProxyableClassMeta(type):
    """
    ProxyableClassMeta allows you to make construction of a given Python class
    symbolically traceable. For example::

        import torch
        import torch.fx

        class TensorPair(metaclass=torch.fx.ProxyableClassMeta):
            def __init__(self, left, right):
                self.left, self.right = left, right

            def add(self, other):
                l = self.left + other.left
                r = self.right + other.right
                return TensorPair(l, r)

            def mul(self, other):
                l = self.left * other.left
                r = self.right * other.right
                return TensorPair(l, r)

        def use_tensor_pair_ctor(x : TensorPair, y : torch.Tensor):
            s = x.add(TensorPair(y, y))
            return s.mul(x)

        x = TensorPair(torch.randn(5, 3), torch.randn(5, 3))
        y = torch.randn(5, 3)
        ref_out = use_tensor_pair_ctor(x, y)

        traced = torch.fx.symbolic_trace(use_tensor_pair_ctor)
        print(traced.code)
        '''
        def forward(self, x : __main___TensorPair, y : torch.Tensor):
            tensor_pair = __main___TensorPair(y, y);  y = None
            add = x.add(tensor_pair);  tensor_pair = None
            mul = add.mul(x);  add = x = None
            return mul
        '''

    From this example, we can see that construction of a class (``TensorPair``)
    defined with ``ProxyableClassMeta`` as metaclass can be recorded in symbolic
    tracing.
    """

    def __init__(cls, name, bases, attrs):
        _proxyable_classes.setdefault(cls)
        super().__init__(name, bases, attrs)

    def __call__(cls, *args, **kwargs):
        instance = cls.__new__(cls)  # type: ignore[call-overload]

        found_proxies = []

        def check_proxy(a):
            if isinstance(a, Proxy):
                found_proxies.append(a)

        map_aggregate(args, check_proxy)
        map_aggregate(kwargs, check_proxy)

        if len(found_proxies) != 0:
            tracer = found_proxies[0].tracer
            return tracer.create_proxy("call_function", cls, args, kwargs)
        else:
            cls.__init__(instance, *args, **kwargs)  # type: ignore[misc]
            return instance


def _patch_function(fn: FunctionType, nargs: int) -> FunctionType:
    co = fn.__code__
    co_flags = co.co_flags & ~HAS_VARSTUFF
    co_args: tuple
    if hasattr(co, "co_qualname"):
        # Python-3.11+ code signature
        co_args = (
            nargs,
            0,
            0,
            co.co_nlocals,
            co.co_stacksize,
            co_flags,
            co.co_code,
            co.co_consts,
            co.co_names,
            co.co_varnames,
            co.co_filename,
            co.co_name,
            co.co_qualname,  # type: ignore[attr-defined]
            co.co_firstlineno,
            co.co_lnotab,
            co.co_exceptiontable,  # type: ignore[attr-defined]
            co.co_freevars,
            co.co_cellvars,
        )
    elif hasattr(co, "co_posonlyargcount"):
        co_args = (
            nargs,
            0,
            0,
            co.co_nlocals,
            co.co_stacksize,
            co_flags,
            co.co_code,
            co.co_consts,
            co.co_names,
            co.co_varnames,
            co.co_filename,
            co.co_name,
            co.co_firstlineno,
            co.co_lnotab,
            co.co_freevars,
            co.co_cellvars,
        )
    else:
        co_args = (
            nargs,
            0,
            co.co_nlocals,
            co.co_stacksize,
            co_flags,
            co.co_code,
            co.co_consts,
            co.co_names,
            co.co_varnames,
            co.co_filename,
            co.co_name,
            co.co_firstlineno,
            co.co_lnotab,
            co.co_freevars,
            co.co_cellvars,
        )
    new_code = CodeType(*co_args)  # type: ignore[arg-type]
    return FunctionType(new_code, fn.__globals__, fn.__name__, fn.__defaults__, fn.__closure__)

    # we need to insert placeholder nodes for *args and **kwargs
    # we can't call this function normally, otherwise it would try to unpack them
    # instead, let's make python think that args and kwargs are normal variables


@compatibility(is_backward_compatible=False)
class PHBase:
    """
    Object representing an input placeholder to `concrete_args`
    """

    def __repr__(self):
        return "PH"


PH = PHBase()


@compatibility(is_backward_compatible=True)
class Tracer(TracerBase):
    # Reference: https://github.com/pytorch/pytorch/issues/54354
    # The first line of this docstring overrides the one Sphinx generates for the
    # documentation. We need it so that Sphinx doesn't leak `math`s path from the
    # build environment (e.g. `<module 'math' from '/leaked/path').

    """Tracer(autowrap_modules=(math,), autowrap_functions=())

    ``Tracer`` is the class that implements the symbolic tracing functionality
    of ``torch.fx.symbolic_trace``. A call to ``symbolic_trace(m)`` is equivalent
    to ``Tracer().trace(m)``.

    Tracer can be subclassed to override various behaviors of the tracing
    process. The different behaviors that can be overridden are described
    in the docstrings of the methods on this class.
    """

    # Not checking BC on this API because the default value for `autowrap_modules`
    # includes the local filepath to the `math` module, which would jitter
    # across machines.
    @compatibility(is_backward_compatible=True)
    def __init__(
        self,
        autowrap_modules: Tuple[ModuleType] = (math,),
        autowrap_functions: Tuple[Callable, ...] = (),
        param_shapes_constant: bool = False,
    ) -> None:
        # This method's signature is overridden by the first line of this class'
        # docstring. If this method's signature is modified, the signature that
        # overrides it also should be modified accordingly.

        """
        Construct a Tracer object.

        Args:

            autowrap_modules (Tuple[ModuleType]): defaults to `(math, )`,
                Python modules whose functions should be wrapped automatically
                without needing to use fx.wrap(). Backward-compatibility for
                this parameter is guaranteed.

            autowrap_functions (Tuple[Callable, ...]): defaults to `()`,
                Python functions that should be wrapped automatically without
                needing to use fx.wrap(). Backward compatibility for this
                parameter is guaranteed.

            param_shapes_constant (bool): When this flag is set,  calls to shape,
                size and a few other shape like attributes of a module's parameter
                will be evaluated directly, rather than returning a new Proxy value
                for an attribute access. Backward compatibility for this parameter
                is guaranteed.
        """

        super().__init__()

        # Functions we will eagerly wrap when we see them while tracing
        # this captures both `math.sqrt()` and `from math import sqrt` automatically
        self._autowrap_function_ids: Set[int] = {
            id(value)
            for name,
            value in chain(*[m.__dict__.items() for m in autowrap_modules])
            if not name.startswith("_") and callable(value)}
        self._autowrap_function_ids.update({id(f) for f in autowrap_functions})

        # Python modules to apply autowrap to at the start, in addition to
        # modules we see while tracing
        self._autowrap_search: List[ModuleType] = list(autowrap_modules)
        self.param_shapes_constant = param_shapes_constant

        self.submodule_paths: Optional[Dict[torch.nn.Module, str]] = None
        self.root_module_name: str = ""
        # Maps the containing module's name to the operator name
        self.scope = Scope("", None)
        # Records the module call stack
        self.module_stack = collections.OrderedDict()
        # Mapping of node name to module scope
        self.node_name_to_scope: Dict[str, Tuple[str, type]] = {}

    @compatibility(is_backward_compatible=True)
    def create_arg(self, a: Any) -> "Argument":
        """
        A method to specify the behavior of tracing when preparing values to
        be used as arguments to nodes in the ``Graph``.

        By default, the behavior includes:

        #. Iterate through collection types (e.g. tuple, list, dict) and recursively
           call ``create_args`` on the elements.
        #. Given a Proxy object, return a reference to the underlying IR ``Node``
        #. Given a non-Proxy Tensor object, emit IR for various cases:

            * For a Parameter, emit a ``get_attr`` node referring to that Parameter
            * For a non-Parameter Tensor, store the Tensor away in a special
              attribute referring to that attribute.

        This method can be overridden to support more types.

        Args:

            a (Any): The value to be emitted as an ``Argument`` in the ``Graph``.


        Returns:

            The value ``a`` converted into the appropriate ``Argument``
        """
        # The base tracer is used to construct Graphs when there is no associated
        # module hierarchy, so it can never create parameter references.
        # The default tracer adds the ability to refer to parameters when
        # tracing modules.
        if isinstance(a, torch.nn.Parameter):
            for n, p in self.root.named_parameters():
                if a is p:
                    return self.create_node("get_attr", n, (), {})
            raise NameError("parameter is not a member of this module")
        elif isinstance(a, torch.Tensor):
            for n_, p_ in self.root.named_buffers():
                if a is p_:
                    return self.create_node("get_attr", n_, (), {})
        elif isinstance(a, torch.nn.Module):
            for n_, p_ in self.root.named_modules():
                if a is p_:
                    return self.create_node("get_attr", n_, (), {})
        # For NamedTuple instances that appear literally as args, we emit
        # a node to construct the NamedTuple and use that Node as the argument.
        if isinstance(a, tuple) and hasattr(a, "_fields"):
            args = tuple(self.create_arg(elem) for elem in a)
            return self.create_node("call_function", a.__class__, args, {})

        # Tensors do not have a reliable string repr() from which they can be
        # constructed (and we probably don't want to rely on that, either), so
        # for any constant Tensor values we encounter, first search for if they
        # are an attribute of some module in the module hierarchy. If so, emit
        # a get_attr to retrieve that tensor. Otherwise, we'll store away the
        # tensor value into a special attribute on the Module s.t. we can
        # retrieve it with a get_attr.
        if isinstance(a, (torch.Tensor, ScriptObject)):
            qualname: Optional[str] = self.tensor_attrs.get(a)

            # Tensor was not found in the Module hierarchy, stow it away in a
            # special attribute and set the qualname to refer to that
            if not qualname:
                i = 0
                while True:
                    qualname = f"_tensor_constant{i}"
                    if not hasattr(self.root, qualname):
                        break
                    i += 1
                self.tensor_attrs[a] = qualname
                setattr(self.root, qualname, a)

            return self.create_node("get_attr", qualname, (), {})

        if type(a) in _proxyable_classes:
            # This is an instance of a proxyable class for which we did not
            # witness its construction. Intern this as a constant attribute

            # TODO: binary search
            i = 0
            while True:
                qualname = f"_{a.__class__.__name__}_constant_{i}"
                if not hasattr(self.root, qualname):
                    break
                i += 1
            setattr(self.root, qualname, a)

            return self.create_node("get_attr", qualname, (), {})

        return super().create_arg(a)

    @compatibility(is_backward_compatible=True)
    def is_leaf_module(self, m: torch.nn.Module, module_qualified_name: str) -> bool:
        """
        A method to specify whether a given ``nn.Module`` is a "leaf" module.

        Leaf modules are the atomic units that appear in
        the IR, referenced by ``call_module`` calls. By default,
        Modules in the PyTorch standard library namespace (torch.nn)
        are leaf modules. All other modules are traced through and
        their constituent ops are recorded, unless specified otherwise
        via this parameter.

        Args:

            m (Module): The module being queried about
            module_qualified_name (str): The path to root of this module. For example,
                if you have a module hierarchy where submodule ``foo`` contains
                submodule ``bar``, which contains submodule ``baz``, that module will
                appear with the qualified name ``foo.bar.baz`` here.
        """
        return ((m.__module__.startswith("torch.nn") or m.__module__.startswith("torch.ao.nn")) and
                not isinstance(m, torch.nn.Sequential))

    @compatibility(is_backward_compatible=True)
    def path_of_module(self, mod: torch.nn.Module) -> str:
        """
        Helper method to find the qualified name of ``mod`` in the Module hierarchy
        of ``root``. For example, if ``root`` has a submodule named ``foo``, which has
        a submodule named ``bar``, passing ``bar`` into this function will return
        the string "foo.bar".

        Args:

            mod (str): The ``Module`` to retrieve the qualified name for.
        """
        # Prefer the O(1) algorithm
        if self.submodule_paths:
            path = self.submodule_paths.get(mod)
            if path is None:
                raise NameError("module is not installed as a submodule")
            assert isinstance(path, str)
            return path
        # O(N^2) fallback in the case that we didn't store the submodule
        # paths.
        else:
            for n, p in self.root.named_modules():
                if mod is p:
                    return n
            raise NameError("module is not installed as a submodule")

    @compatibility(is_backward_compatible=True)
    def call_module(
        self,
        m: torch.nn.Module,
        forward: Callable[..., Any],
        args: Tuple[Any, ...],
        kwargs: Dict[str, Any],
    ) -> Any:
        """
        Method that specifies the behavior of this ``Tracer`` when it encounters
        a call to an ``nn.Module`` instance.

        By default, the behavior is to check if the called module is a leaf module
        via ``is_leaf_module``. If it is, emit a ``call_module`` node referring to
        ``m`` in the ``Graph``. Otherwise, call the ``Module`` normally, tracing through
        the operations in its ``forward`` function.

        This method can be overridden to--for example--create nested traced
        GraphModules, or any other behavior you would want while tracing across
        ``Module`` boundaries.

        Args:

            m (Module): The module for which a call is being emitted
            forward (Callable): The forward() method of the ``Module`` to be invoked
            args (Tuple): args of the module callsite
            kwargs (Dict): kwargs of the module callsite

        Return:

            The return value from the Module call. In the case that a ``call_module``
            node was emitted, this is a ``Proxy`` value. Otherwise, it is whatever
            value was returned from the ``Module`` invocation.
        """
        module_qualified_name = self.path_of_module(m)
        with ScopeContextManager(self.scope, Scope(module_qualified_name, type(m))) as _scope:
            # module_stack is an ordered dict so writing then deleting the
            # entry is equivalent to push/pop on a list
            self.module_stack[_scope.module_path] = _scope.module_type
            if not self.is_leaf_module(m, module_qualified_name):
                ret_val = forward(*args, **kwargs)
            else:
                ret_val = self.create_proxy("call_module", module_qualified_name, args, kwargs)
            key, _ = self.module_stack.popitem(last=True)
            assert key == _scope.module_path, f" Unexpected key {key}"

        return ret_val

    @compatibility(is_backward_compatible=False)
    def getattr(self, attr: str, attr_val: Any, parameter_proxy_cache: Dict[str, Any]):
        """
        Method that specifies the behavior of this ``Tracer`` when we call getattr
        on a call to an ``nn.Module`` instance.

        By default, the behavior is to return a proxy value for the attribute. It
        also stores the proxy value in the ``parameter_proxy_cache``, so that future
        calls will reuse the proxy rather than creating a new one.

        This method can be overridden to --for example-- not return proxies when
        querying parameters.

        Args:

            attr (str): The name of the attribute being queried
            attr_val (Any): The value of the attribute
            parameter_proxy_cache (Dict[str, Any]): A cache of attr names to proxies

        Return:

            The return value from the getattr call.
        """

        def maybe_get_proxy_for_attr(attr_val, collection_to_search, parameter_proxy_cache):
            for n, p in collection_to_search:
                if attr_val is p:
                    if n not in parameter_proxy_cache:
                        kwargs = {}
                        if ("proxy_factory_fn" in inspect.signature(self.create_proxy).parameters):
                            kwargs["proxy_factory_fn"] = (
                                None if not self.param_shapes_constant else
                                lambda node: ParameterProxy(self, node, n, attr_val))
                        val_proxy = self.create_proxy(
                            "get_attr", n, (), {}, **kwargs)  # type: ignore[arg-type]
                        parameter_proxy_cache[n] = val_proxy
                    return parameter_proxy_cache[n]
            return None

        if isinstance(attr_val, torch.nn.Parameter):
            maybe_parameter_proxy = maybe_get_proxy_for_attr(
                attr_val, self.root.named_parameters(), parameter_proxy_cache)
            if maybe_parameter_proxy is not None:
                return maybe_parameter_proxy

        if self.proxy_buffer_attributes and isinstance(attr_val, torch.Tensor):
            maybe_buffer_proxy = maybe_get_proxy_for_attr(
                attr_val, self.root.named_buffers(), parameter_proxy_cache)
            if maybe_buffer_proxy is not None:
                return maybe_buffer_proxy

        return attr_val

    # This method will be refactored
    @compatibility(is_backward_compatible=False)
    def create_args_for_root(self, root_fn, is_module, concrete_args=None):
        """
        Create ``placeholder`` nodes corresponding to the signature of the ``root``
        Module. This method introspects root's signature and emits those
        nodes accordingly, also supporting ``*args`` and ``**kwargs``.
        """
        # In some cases, a function or method has been decorated with a wrapper
        # defined via ``functools.wraps``. In this case, the outer code object
        # will likely not contain the actual parameters we care about, so unwrap
        # the function to get to the innermost callable.
        fn_for_analysis = inspect.unwrap(root_fn)
        co = fn_for_analysis.__code__
        total_args = co.co_argcount + co.co_kwonlyargcount
        orig_args = list(co.co_varnames)
        names_iter = iter(co.co_varnames)
        args: List[Any] = []
        skip_arg_idx = 0
        if is_module:
            if total_args == 0:
                raise RuntimeError("``self`` argument cannot be part of *args expansion!")
            skip_arg_idx = 1
            next(names_iter)  # skip self
            args.append(self.root)

        sig = inspect.signature(fn_for_analysis)

        def proxy_placeholder(name: str):
            if concrete_args is not None and name in concrete_args:
                cnt = 0

                def replace_ph(x):
                    nonlocal cnt
                    cnt += 1
                    param = sig.parameters[name]
                    default = (() if param.default is inspect.Parameter.empty else (param.default,))
                    out = self.create_proxy("placeholder", f"{name}_{str(cnt)}", default, {})
                    if x == PH:
                        return out
                    # Union[int, bool] == bool in Python <= 3.6
                    if (type(x) == bool or type(x) in base_types and type(x) != torch.Tensor):
                        torch._assert(
                            out == x,
                            f"{name} has been specialized to have value {x} but got another value",
                        )
                    elif type(x) == type(None):
                        args = (
                            out,
                            f"{name} has been specialized to have value None but got another value",
                        )
                        self.create_proxy("call_function", _assert_is_none, args, {})
                    else:
                        warnings.warn(
                            f"Was not able to add assertion to guarantee correct input {name} to "
                            f"specialized function. It is up to the user to make sure that your inputs match the "
                            f"inputs you specialized the function with.")

                    return x

                return pytree.tree_map(replace_ph, concrete_args[name])
            if name[0] == "*":
                default = ()
            else:
                param = sig.parameters[name]
                default = () if param.default is inspect.Parameter.empty else (
                    param.default,)  # type: ignore[assignment]
            return self.create_proxy(
                "placeholder",
                name,
                default, {},
                type_expr=fn_for_analysis.__annotations__.get(name, None))

        arg_names = [next(names_iter) for idx in range(skip_arg_idx, total_args)]
        if isinstance(concrete_args, tuple):
            if len(arg_names) != len(concrete_args):
                raise RuntimeError(
                    f"Tracing expected {len(arg_names)} arguments but got {len(concrete_args)} concrete arguments"
                )
            concrete_args = {name: val for name, val in zip(arg_names, concrete_args)}
        args.extend(proxy_placeholder(names) for names in arg_names)

        if co.co_kwonlyargcount > 0 or co.co_flags & HAS_VARSTUFF:
            # TODO: type annotations for *args and **kwargs
            if co.co_flags & inspect.CO_VARARGS:
                args.append(proxy_placeholder("*" + next(names_iter)))
            if co.co_flags & inspect.CO_VARKEYWORDS:
                args.append(proxy_placeholder("**" + next(names_iter)))
            root_fn = _patch_function(root_fn, len(args))

        flat_args, in_spec = pytree.tree_flatten(tuple(args))
        if any(not isinstance(i, pytree.LeafSpec) for i in in_spec.children_specs):
            # In the case that we have pytree-flattened inputs in
            # `concrete_args`, generate a flattening wrapper around the
            # original root function and return that.
            self.graph._codegen = _PyTreeCodeGen(_PyTreeInfo(orig_args[:total_args], in_spec, None))

            def flatten_fn(*args):
                tree_args = pytree.tree_unflatten(list(args), in_spec)
                tree_out = root_fn(*tree_args)
                out_args, out_spec = pytree.tree_flatten(tree_out)
                assert isinstance(self.graph._codegen, _PyTreeCodeGen)
                self.graph._codegen.pytree_info = (
                    self.graph._codegen.pytree_info._replace(out_spec=out_spec))
                return out_args

            return flatten_fn, flat_args
        return root_fn, args

    @compatibility(is_backward_compatible=True)
    def trace(
        self,
        root: Union[torch.nn.Module, Callable[..., Any]],
        concrete_args: Optional[Dict[str, Any]] = None,
    ) -> Graph:
        """
        Trace ``root`` and return the corresponding FX ``Graph`` representation. ``root``
        can either be an ``nn.Module`` instance or a Python callable.

        Note that after this call, ``self.root`` may be different from the ``root`` passed
        in here. For example, when a free function is passed to ``trace()``, we will
        create an ``nn.Module`` instance to use as the root and add embedded constants
        to.


        Args:

            root (Union[Module, Callable]): Either a ``Module`` or a function to be
                traced through. Backwards-compatibility for this parameter is
                guaranteed.
            concrete_args (Optional[Dict[str, any]]): Concrete arguments that should
                not be treated as Proxies. This parameter is experimental and
                its backwards-compatibility is *NOT* guaranteed.

        Returns:

            A ``Graph`` representing the semantics of the passed-in ``root``.
        """
        global _is_fx_tracing_flag
        old_is_fx_tracing_flag = _is_fx_tracing_flag
        _is_fx_tracing_flag = True
        try:
            if isinstance(root, torch.nn.Module):
                self.root = root

                assert hasattr(
                    type(root), self.traced_func_name
                ), f"traced_func_name={self.traced_func_name} doesn't exist in {type(root).__name__}"

                fn = getattr(type(root), self.traced_func_name)
                self.root_module_name = root._get_name()
                self.submodule_paths = {mod: name for name, mod in root.named_modules()}
            else:
                self.root = torch.nn.Module()
                fn = root

            tracer_cls: Optional[Type["Tracer"]] = getattr(self, "__class__", None)
            self.graph = Graph(tracer_cls=tracer_cls)

            # When we encounter a Tensor value that's not a parameter, we look if it
            # is some other attribute on the model. Construct a dict mapping Tensor
            # values to the qualified name here for efficiency. This is used downstream
            # in create_arg
            self.tensor_attrs: Dict[Union[torch.Tensor, ScriptObject], str] = {}

            def collect_tensor_attrs(m: torch.nn.Module, prefix_atoms: List[str]):
                for k, v in m.__dict__.items():
                    if isinstance(v, (torch.Tensor, ScriptObject)):
                        self.tensor_attrs[v] = ".".join(prefix_atoms + [k])
                for k, v in m.named_children():
                    collect_tensor_attrs(v, prefix_atoms + [k])

            collect_tensor_attrs(self.root, [])

            assert isinstance(fn, FunctionType)

            fn_globals = fn.__globals__  # run before it gets patched
            fn, args = self.create_args_for_root(
                fn, isinstance(root, torch.nn.Module), concrete_args
            )

            parameter_proxy_cache: Dict[str, Proxy] = {}  # Reduce number of get_attr calls

            # Method dispatch on parameters is not recorded unless it's directly used.
            # Thus, we need to insert a proxy when __getattr__ requests a parameter.
            @functools.wraps(_orig_module_getattr)
            def module_getattr_wrapper(mod, attr):
                attr_val = _orig_module_getattr(mod, attr)
                return self.getattr(attr, attr_val, parameter_proxy_cache)

            @functools.wraps(_orig_module_call)
            def module_call_wrapper(mod, *args, **kwargs):

                def forward(*args, **kwargs):
                    return _orig_module_call(mod, *args, **kwargs)

                _autowrap_check(
                    patcher,
                    getattr(getattr(mod, "forward", mod), "__globals__", {}),
                    self._autowrap_function_ids,
                )
                return self.call_module(mod, forward, args, kwargs)

            with _Patcher() as patcher:
                # allow duplicate patches to support the case of nested calls
                patcher.patch_method(
                    torch.nn.Module,
                    "__getattr__",
                    module_getattr_wrapper,
                    deduplicate=False,
                )
                patcher.patch_method(
                    torch.nn.Module, "__call__", module_call_wrapper, deduplicate=False)
                _patch_wrapped_functions(patcher)
                _autowrap_check(patcher, fn_globals, self._autowrap_function_ids)
                for module in self._autowrap_search:
                    _autowrap_check(patcher, module.__dict__, self._autowrap_function_ids)
                self.create_node(
                    "output",
                    "output",
                    (self.create_arg(fn(*args)),),
                    {},
                    type_expr=fn.__annotations__.get("return", None),
                )

            self.submodule_paths = None
        finally:
            _is_fx_tracing_flag = old_is_fx_tracing_flag
        return self.graph

    def __deepcopy__(self, memo):
        # _autowrap_search contains modules, which cannot be deepcopied.
        new_tracer = Tracer.__new__(Tracer)

        for k, v in self.__dict__.items():
            if k in {'_autowrap_search'}:
                new_obj = copy.copy(v)
            else:
                new_obj = copy.deepcopy(v, memo)

            new_tracer.__dict__[k] = new_obj

        return new_tracer


# List of triplets of (global dict, function name, visible_to_make_fx) functions
# to patch for the purposes of the wrap() API.
_wrapped_fns_to_patch: List[Tuple[dict, str, bool]] = []

# List of methods on classes to wrap (class type, function name)
# this currently only works for Tensor.* methods that aren't traced properly
_wrapped_methods_to_patch: List[Tuple[type, str]] = []

if os.environ.get("FX_PATCH_GETITEM") == "1":
    # This change is needed to trace models like PositionalEmbedding from BERT:
    # https://github.com/pytorch/benchmark/blob/master/torchbenchmark/models/BERT_pytorch/bert_pytorch/model/embedding/position.py
    # but causes issues in quantization documented here:
    # https://github.com/pytorch/pytorch/issues/50710
    # once that is fixed we can make this the default behavior.
    _wrapped_methods_to_patch.append((torch.Tensor, "__getitem__"))


def _find_proxy(*objects_to_search):
    """
    Recursively search a data structure for a Proxy() and return it,
    return None if not found.
    """
    proxy = None

    def find_proxy(x):
        nonlocal proxy
        if isinstance(x, Proxy):
            proxy = x

    map_aggregate(objects_to_search, find_proxy)
    return proxy


def _create_wrapped_func(orig_fn, visible_to_make_fx=False):

    @functools.wraps(orig_fn)
    def wrapped(*args, **kwargs):
        """
        Given an closed-over ``orig_function`` to invoke, search the args and kwargs for
        a Proxy object. If there is one, emit a ``call_function`` node to preserve the
        call to this leaf function directly. Otherwise, just return the results of
        this function call, as this function is not being traced.
        """
        proxy = _find_proxy(args, kwargs)
        if proxy is not None:
            return_proxy = proxy.tracer.create_proxy("call_function", orig_fn, args, kwargs)
            return_proxy.node.meta["is_wrapped"] = True
            if visible_to_make_fx:
                return_proxy.node.meta["visible_to_make_fx"] = 1
            return return_proxy

        # Check if we want to trace this function for proxy tensors created via `make_fx`
        if visible_to_make_fx:
            # import here to avoid circular imports
            from .experimental.proxy_tensor import disable_proxy_modes_tracing
            from .experimental.proxy_tensor import get_innermost_proxy_mode
            from .experimental.proxy_tensor import proxy_call

            # If there is no input with proxy, see if we are tracing with proxy tensors
            proxy_mode = get_innermost_proxy_mode()
            if proxy_mode is not None:
                # Disable tracing of the interior of the wrapped fn while evaluating
                with disable_proxy_modes_tracing():
                    out = proxy_call(proxy_mode, orig_fn, args, kwargs)
                return out

        return orig_fn(*args, **kwargs)

    return wrapped


def _create_wrapped_method(cls, name):
    orig_fn = getattr(cls, name)

    @functools.wraps(orig_fn)
    def wrapped(*args, **kwargs):
        """
        Search the args and kwargs for a Proxy object. If there is one,
        emit a ``call_method`` node to preserve the call to this method
        directly. Otherwise, just return the results of this function
        call, as this function is not being traced.
        """
        proxy = _find_proxy(args, kwargs)
        if proxy is not None:
            return proxy.tracer.create_proxy("call_method", name, args, kwargs)
        return orig_fn(*args, **kwargs)

    return wrapped


class _PatchedFn(NamedTuple):
    frame_dict: Any
    fn_name: str
    orig_fn: Any

    def revert(self):
        raise NotImplementedError()


class _PatchedFnSetItem(_PatchedFn):

    def revert(self):
        self.frame_dict[self.fn_name] = self.orig_fn


class _PatchedFnDel(_PatchedFn):

    def revert(self):
        del self.frame_dict[self.fn_name]


class _PatchedFnSetAttr(_PatchedFn):

    def revert(self):
        setattr(self.frame_dict, self.fn_name, self.orig_fn)


class _Patcher:

    def __init__(self):
        super().__init__()
        self.patches_made: List[_PatchedFn] = []
        self.visited: Set[int] = set()

    def patch(
        self,
        frame_dict: Dict[str, Any],
        name: str,
        new_fn: Callable,
        deduplicate: bool = True,
    ):
        """
        Replace frame_dict[name] with new_fn until we exit the context manager.
        """
        new_fn.__fx_already_patched = deduplicate  # type: ignore[attr-defined]
        if name not in frame_dict and hasattr(builtins, name):
            self.patches_made.append(_PatchedFnDel(frame_dict, name, None))
        elif getattr(frame_dict[name], "__fx_already_patched", False):
            return  # already patched, no need to do it again
        else:
            self.patches_made.append(_PatchedFnSetItem(frame_dict, name, frame_dict[name]))
        frame_dict[name] = new_fn

    def patch_method(self, cls: type, name: str, new_fn: Callable, deduplicate: bool = True):
        """
        Replace object_or_dict.name with new_fn until we exit the context manager.
        """
        new_fn.__fx_already_patched = deduplicate  # type: ignore[attr-defined]
        orig_fn = getattr(cls, name)
        if getattr(orig_fn, "__fx_already_patched", False):
            return  # already patched, no need to do it again
        self.patches_made.append(_PatchedFnSetAttr(cls, name, orig_fn))
        setattr(cls, name, new_fn)

    def visit_once(self, thing: Any):
        """Return True on the first call to with thing, otherwise false"""
        idx = id(thing)
        if idx in self.visited:
            return False
        self.visited.add(idx)
        return True

    def __enter__(self):
        return self

    def __exit__(self, exc_type, exc_val, exc_tb):
        """
        Undo all the changes made via self.patch() and self.patch_method()
        """
        while self.patches_made:
            # unpatch in reverse order to handle duplicates correctly
            self.patches_made.pop().revert()
        self.visited.clear()


def _patch_wrapped_functions(patcher: _Patcher):
    """
    Go through ``_wrapped_fns_to_patch`` and, for each frame object, wrap
    the listed global functions in the `_create_wrapped_func` wrapper.
    Does so in the reverse order, so that only the most recently applied wrapper is applied.
    """
    for frame_dict, name, visible_to_make_fx in reversed(_wrapped_fns_to_patch):
        if name not in frame_dict and hasattr(builtins, name):
            orig_fn = getattr(builtins, name)
        else:
            orig_fn = frame_dict[name]
        patcher.patch(frame_dict, name, _create_wrapped_func(orig_fn, visible_to_make_fx))

    for cls, name in _wrapped_methods_to_patch:
        patcher.patch_method(cls, name, _create_wrapped_method(cls, name))


def _autowrap_check(patcher: _Patcher, frame_dict: Dict[str, Any], function_ids: Set[int]):
    """
    Some methods, like `math.sqrt` are common enough we want to automatically wrap them as we see them.
    This method searches a scope for them and patches them if found.
    """
    if patcher.visit_once(frame_dict):
        for name, value in frame_dict.items():
            if (not name.startswith("_") and callable(value) and id(value) in function_ids):
                patcher.patch(frame_dict, name, _create_wrapped_func(value))


@compatibility(is_backward_compatible=True)
def wrap(fn_or_name: Union[str, Callable] = None, visible_to_make_fx=False):
    """
    This function can be called at module-level scope to register fn_or_name as a "leaf function".
    A "leaf function" will be preserved as a CallFunction node in the FX trace instead of being
    traced through::

        # foo/bar/baz.py
        def my_custom_function(x, y):
            return x * x + y * y

        torch.fx.wrap('my_custom_function')

        def fn_to_be_traced(x, y):
            # When symbolic tracing, the below call to my_custom_function will be inserted into
            # the graph rather than tracing it.
            return my_custom_function(x, y)

    This function can also equivalently be used as a decorator::

        # foo/bar/baz.py
        @torch.fx.wrap
        def my_custom_function(x, y):
            return x * x + y * y

    A wrapped function can be thought of a "leaf function", analogous to the concept of
    "leaf modules", that is, they are functions that are left as calls in the FX trace
    rather than traced through.

    Args:

        fn_or_name (Union[str, Callable]): The function or name of the global function to insert into the
            graph when it's called
        visible_to_make_fx (bool): If False (default), the function will not appear in the graph created by
            `make_fx`. If true, it will appear in the `make_fx` graph while its inner calls will not be visible.
    """
    currentframe = inspect.currentframe()
    assert currentframe is not None
    f = currentframe.f_back
    assert f is not None
    if f.f_code.co_name != "<module>":
        raise NotImplementedError("wrap must be called at the top level of a module")

    if fn_or_name is None:

        def wrapper(func_or_name):
            return _wrap_inner(func_or_name, visible_to_make_fx, outer_frame=f)

        return wrapper
    else:
        return _wrap_inner(fn_or_name, visible_to_make_fx, outer_frame=f)


def _wrap_inner(fn_or_name: Union[str, Callable], visible_to_make_fx, outer_frame):
    if not callable(fn_or_name) and not isinstance(fn_or_name, str):
        raise RuntimeError(
            "Unsupported type for global function! Must be either a callable or "
            "string name")

    if callable(fn_or_name):
        assert not isinstance(fn_or_name, str)  # to make mypy happy
        fn_name = fn_or_name.__name__
    else:
        assert isinstance(fn_or_name, str), "fn_or_name must be a global function or string name"
        fn_name = fn_or_name
    # consider implementing Callable version of this via _autowrap_function_ids / _autowrap_search
    # semantics would be slightly different, but would add support `from x import wrapped_function`
    _wrapped_fns_to_patch.append((outer_frame.f_globals, fn_name, visible_to_make_fx))
    return fn_or_name


@compatibility(is_backward_compatible=True)
def symbolic_trace(
    root: Union[torch.nn.Module, Callable[..., Any]],
    concrete_args: Optional[Dict[str, Any]] = None,
) -> GraphModule:
    """
    Symbolic tracing API

    Given an ``nn.Module`` or function instance ``root``, this function will return a ``GraphModule``
    constructed by recording operations seen while tracing through ``root``.

    ``concrete_args`` allows you to partially specialize your function, whether it's to remove control flow or data structures.

    For example::

        def f(a, b):
            if b == True:
                return a
            else:
                return a*2

    FX can typically not trace through this due to the presence of control
    flow. However, we can use `concrete_args` to specialize on the value of
    `b` to trace through this::

        f = fx.symbolic_trace(f, concrete_args={'b': False})
        assert f(3, False)  == 6

    Note that although you can still pass in different values of `b`, they will be ignored.

    We can also use `concrete_args` to eliminate data-structure handling from
    our function. This will use pytrees to flatten your input. To avoid
    overspecializing, pass in `fx.PH` for values that shouldn't be
    specialized. For example::

        def f(x):
            out = 0
            for v in x.values():
                out += v
            return out
        f = fx.symbolic_trace(f, concrete_args={'x': {'a': fx.PH, 'b': fx.PH, 'c': fx.PH}})
        assert f({'a': 1, 'b': 2, 'c': 4}) == 7


    Args:
        root (Union[torch.nn.Module, Callable]): Module or function to be traced and converted
            into a Graph representation.
        concrete_args (Optional[Dict[str, any]]): Inputs to be partially specialized

    Returns:
        GraphModule: a Module created from the recorded operations from ``root``.
    """
    tracer = Tracer()
    graph = tracer.trace(root, concrete_args)
    name = (root.__class__.__name__ if isinstance(root, torch.nn.Module) else root.__name__)
    return GraphModule(tracer.root, graph, name)


@wrap
def _assert_is_none(value, msg):
    assert value is None, msg
