"""Convert python types to pydantic-core schema."""
from __future__ import annotations as _annotations

import collections.abc
import dataclasses
import inspect
import re
import sys
import typing
import warnings
from contextlib import ExitStack, contextmanager
from copy import copy, deepcopy
from enum import Enum
from functools import partial
from inspect import Parameter, _ParameterKind, signature
from itertools import chain
from operator import attrgetter
from types import FunctionType, LambdaType, MethodType
from typing import (
    TYPE_CHECKING,
    Any,
    Callable,
    Dict,
    Final,
    ForwardRef,
    Iterable,
    Iterator,
    Mapping,
    Type,
    TypeVar,
    Union,
    cast,
    overload,
)
from warnings import warn

from pydantic_core import CoreSchema, PydanticUndefined, core_schema, to_jsonable_python
from typing_extensions import Annotated, Literal, TypeAliasType, TypedDict, get_args, get_origin, is_typeddict

from ..aliases import AliasGenerator
from ..annotated_handlers import GetCoreSchemaHandler, GetJsonSchemaHandler
from ..config import ConfigDict, JsonDict, JsonEncoder
from ..errors import PydanticSchemaGenerationError, PydanticUndefinedAnnotation, PydanticUserError
from ..json_schema import JsonSchemaValue
from ..version import version_short
from ..warnings import PydanticDeprecatedSince20
from . import _core_utils, _decorators, _discriminated_union, _known_annotated_metadata, _typing_extra
from ._config import ConfigWrapper, ConfigWrapperStack
from ._core_metadata import CoreMetadataHandler, build_metadata_dict
from ._core_utils import (
    CoreSchemaOrField,
    collect_invalid_schemas,
    define_expected_missing_refs,
    get_ref,
    get_type_ref,
    is_function_with_inner_schema,
    is_list_like_schema_with_items_schema,
    simplify_schema_references,
    validate_core_schema,
)
from ._decorators import (
    Decorator,
    DecoratorInfos,
    FieldSerializerDecoratorInfo,
    FieldValidatorDecoratorInfo,
    ModelSerializerDecoratorInfo,
    ModelValidatorDecoratorInfo,
    RootValidatorDecoratorInfo,
    ValidatorDecoratorInfo,
    get_attribute_from_bases,
    inspect_field_serializer,
    inspect_model_serializer,
    inspect_validator,
)
from ._docs_extraction import extract_docstrings_from_cls
from ._fields import collect_dataclass_fields, get_type_hints_infer_globalns
from ._forward_ref import PydanticRecursiveRef
from ._generics import get_standard_typevars_map, has_instance_in_type, recursively_defined_type_refs, replace_types
from ._schema_generation_shared import CallbackGetCoreSchemaHandler
from ._typing_extra import is_finalvar, is_self_type
from ._utils import lenient_issubclass

if TYPE_CHECKING:
    from ..fields import ComputedFieldInfo, FieldInfo
    from ..main import BaseModel
    from ..types import Discriminator
    from ..validators import FieldValidatorModes
    from ._dataclasses import StandardDataclass
    from ._schema_generation_shared import GetJsonSchemaFunction

_SUPPORTS_TYPEDDICT = sys.version_info >= (3, 12)
_AnnotatedType = type(Annotated[int, 123])

FieldDecoratorInfo = Union[ValidatorDecoratorInfo, FieldValidatorDecoratorInfo, FieldSerializerDecoratorInfo]
FieldDecoratorInfoType = TypeVar('FieldDecoratorInfoType', bound=FieldDecoratorInfo)
AnyFieldDecorator = Union[
    Decorator[ValidatorDecoratorInfo],
    Decorator[FieldValidatorDecoratorInfo],
    Decorator[FieldSerializerDecoratorInfo],
]

ModifyCoreSchemaWrapHandler = GetCoreSchemaHandler
GetCoreSchemaFunction = Callable[[Any, ModifyCoreSchemaWrapHandler], core_schema.CoreSchema]


TUPLE_TYPES: list[type] = [tuple, typing.Tuple]
LIST_TYPES: list[type] = [list, typing.List, collections.abc.MutableSequence]
SET_TYPES: list[type] = [set, typing.Set, collections.abc.MutableSet]
FROZEN_SET_TYPES: list[type] = [frozenset, typing.FrozenSet, collections.abc.Set]
DICT_TYPES: list[type] = [dict, typing.Dict, collections.abc.MutableMapping, collections.abc.Mapping]


def check_validator_fields_against_field_name(
    info: FieldDecoratorInfo,
    field: str,
) -> bool:
    """Check if field name is in validator fields.

    Args:
        info: The field info.
        field: The field name to check.

    Returns:
        `True` if field name is in validator fields, `False` otherwise.
    """
    if '*' in info.fields:
        return True
    for v_field_name in info.fields:
        if v_field_name == field:
            return True
    return False


def check_decorator_fields_exist(decorators: Iterable[AnyFieldDecorator], fields: Iterable[str]) -> None:
    """Check if the defined fields in decorators exist in `fields` param.

    It ignores the check for a decorator if the decorator has `*` as field or `check_fields=False`.

    Args:
        decorators: An iterable of decorators.
        fields: An iterable of fields name.

    Raises:
        PydanticUserError: If one of the field names does not exist in `fields` param.
    """
    fields = set(fields)
    for dec in decorators:
        if '*' in dec.info.fields:
            continue
        if dec.info.check_fields is False:
            continue
        for field in dec.info.fields:
            if field not in fields:
                raise PydanticUserError(
                    f'Decorators defined with incorrect fields: {dec.cls_ref}.{dec.cls_var_name}'
                    " (use check_fields=False if you're inheriting from the model and intended this)",
                    code='decorator-missing-field',
                )


def filter_field_decorator_info_by_field(
    validator_functions: Iterable[Decorator[FieldDecoratorInfoType]], field: str
) -> list[Decorator[FieldDecoratorInfoType]]:
    return [dec for dec in validator_functions if check_validator_fields_against_field_name(dec.info, field)]


def apply_each_item_validators(
    schema: core_schema.CoreSchema,
    each_item_validators: list[Decorator[ValidatorDecoratorInfo]],
    field_name: str | None,
) -> core_schema.CoreSchema:
    # This V1 compatibility shim should eventually be removed

    # push down any `each_item=True` validators
    # note that this won't work for any Annotated types that get wrapped by a function validator
    # but that's okay because that didn't exist in V1
    if schema['type'] == 'nullable':
        schema['schema'] = apply_each_item_validators(schema['schema'], each_item_validators, field_name)
        return schema
    elif schema['type'] == 'tuple':
        if (variadic_item_index := schema.get('variadic_item_index')) is not None:
            schema['items_schema'][variadic_item_index] = apply_validators(
                schema['items_schema'][variadic_item_index], each_item_validators, field_name
            )
    elif is_list_like_schema_with_items_schema(schema):
        inner_schema = schema.get('items_schema', None)
        if inner_schema is None:
            inner_schema = core_schema.any_schema()
        schema['items_schema'] = apply_validators(inner_schema, each_item_validators, field_name)
    elif schema['type'] == 'dict':
        # push down any `each_item=True` validators onto dict _values_
        # this is super arbitrary but it's the V1 behavior
        inner_schema = schema.get('values_schema', None)
        if inner_schema is None:
            inner_schema = core_schema.any_schema()
        schema['values_schema'] = apply_validators(inner_schema, each_item_validators, field_name)
    elif each_item_validators:
        raise TypeError(
            f"`@validator(..., each_item=True)` cannot be applied to fields with a schema of {schema['type']}"
        )
    return schema


def modify_model_json_schema(
    schema_or_field: CoreSchemaOrField, handler: GetJsonSchemaHandler, *, cls: Any
) -> JsonSchemaValue:
    """Add title and description for model-like classes' JSON schema.

    Args:
        schema_or_field: The schema data to generate a JSON schema from.
        handler: The `GetCoreSchemaHandler` instance.
        cls: The model-like class.

    Returns:
        JsonSchemaValue: The updated JSON schema.
    """
    from ..main import BaseModel
    from ..root_model import RootModel

    json_schema = handler(schema_or_field)
    original_schema = handler.resolve_ref_schema(json_schema)
    # Preserve the fact that definitions schemas should never have sibling keys:
    if '$ref' in original_schema:
        ref = original_schema['$ref']
        original_schema.clear()
        original_schema['allOf'] = [{'$ref': ref}]
    if 'title' not in original_schema:
        original_schema['title'] = cls.__name__
    # BaseModel; don't use cls.__doc__ as it will contain the verbose class signature by default
    docstring = None if cls is BaseModel else cls.__doc__
    if docstring and 'description' not in original_schema:
        original_schema['description'] = inspect.cleandoc(docstring)
    elif issubclass(cls, RootModel) and cls.model_fields['root'].description:
        original_schema['description'] = cls.model_fields['root'].description
    return json_schema


JsonEncoders = Dict[Type[Any], JsonEncoder]


def _add_custom_serialization_from_json_encoders(
    json_encoders: JsonEncoders | None, tp: Any, schema: CoreSchema
) -> CoreSchema:
    """Iterate over the json_encoders and add the first matching encoder to the schema.

    Args:
        json_encoders: A dictionary of types and their encoder functions.
        tp: The type to check for a matching encoder.
        schema: The schema to add the encoder to.
    """
    if not json_encoders:
        return schema
    if 'serialization' in schema:
        return schema
    # Check the class type and its superclasses for a matching encoder
    # Decimal.__class__.__mro__ (and probably other cases) doesn't include Decimal itself
    # if the type is a GenericAlias (e.g. from list[int]) we need to use __class__ instead of .__mro__
    for base in (tp, *getattr(tp, '__mro__', tp.__class__.__mro__)[:-1]):
        encoder = json_encoders.get(base)
        if encoder is None:
            continue

        warnings.warn(
            f'`json_encoders` is deprecated. See https://docs.pydantic.dev/{version_short()}/concepts/serialization/#custom-serializers for alternatives',
            PydanticDeprecatedSince20,
        )

        # TODO: in theory we should check that the schema accepts a serialization key
        schema['serialization'] = core_schema.plain_serializer_function_ser_schema(encoder, when_used='json')
        return schema

    return schema


TypesNamespace = Union[Dict[str, Any], None]


class TypesNamespaceStack:
    """A stack of types namespaces."""

    def __init__(self, types_namespace: TypesNamespace):
        self._types_namespace_stack: list[TypesNamespace] = [types_namespace]

    @property
    def tail(self) -> TypesNamespace:
        return self._types_namespace_stack[-1]

    @contextmanager
    def push(self, for_type: type[Any]):
        types_namespace = {**_typing_extra.get_cls_types_namespace(for_type), **(self.tail or {})}
        self._types_namespace_stack.append(types_namespace)
        try:
            yield
        finally:
            self._types_namespace_stack.pop()


def _get_first_non_null(a: Any, b: Any) -> Any:
    """Return the first argument if it is not None, otherwise return the second argument.

    Use case: serialization_alias (argument a) and alias (argument b) are both defined, and serialization_alias is ''.
    This function will return serialization_alias, which is the first argument, even though it is an empty string.
    """
    return a if a is not None else b


class GenerateSchema:
    """Generate core schema for a Pydantic model, dataclass and types like `str`, `datetime`, ... ."""

    __slots__ = (
        '_config_wrapper_stack',
        '_types_namespace_stack',
        '_typevars_map',
        'field_name_stack',
        'model_type_stack',
        'defs',
    )

    def __init__(
        self,
        config_wrapper: ConfigWrapper,
        types_namespace: dict[str, Any] | None,
        typevars_map: dict[Any, Any] | None = None,
    ) -> None:
        # we need a stack for recursing into child models
        self._config_wrapper_stack = ConfigWrapperStack(config_wrapper)
        self._types_namespace_stack = TypesNamespaceStack(types_namespace)
        self._typevars_map = typevars_map
        self.field_name_stack = _FieldNameStack()
        self.model_type_stack = _ModelTypeStack()
        self.defs = _Definitions()

    @classmethod
    def __from_parent(
        cls,
        config_wrapper_stack: ConfigWrapperStack,
        types_namespace_stack: TypesNamespaceStack,
        model_type_stack: _ModelTypeStack,
        typevars_map: dict[Any, Any] | None,
        defs: _Definitions,
    ) -> GenerateSchema:
        obj = cls.__new__(cls)
        obj._config_wrapper_stack = config_wrapper_stack
        obj._types_namespace_stack = types_namespace_stack
        obj.model_type_stack = model_type_stack
        obj._typevars_map = typevars_map
        obj.field_name_stack = _FieldNameStack()
        obj.defs = defs
        return obj

    @property
    def _config_wrapper(self) -> ConfigWrapper:
        return self._config_wrapper_stack.tail

    @property
    def _types_namespace(self) -> dict[str, Any] | None:
        return self._types_namespace_stack.tail

    @property
    def _current_generate_schema(self) -> GenerateSchema:
        cls = self._config_wrapper.schema_generator or GenerateSchema
        return cls.__from_parent(
            self._config_wrapper_stack,
            self._types_namespace_stack,
            self.model_type_stack,
            self._typevars_map,
            self.defs,
        )

    @property
    def _arbitrary_types(self) -> bool:
        return self._config_wrapper.arbitrary_types_allowed

    def str_schema(self) -> CoreSchema:
        """Generate a CoreSchema for `str`"""
        return core_schema.str_schema()

    # the following methods can be overridden but should be considered
    # unstable / private APIs
    def _list_schema(self, tp: Any, items_type: Any) -> CoreSchema:
        return core_schema.list_schema(self.generate_schema(items_type))

    def _dict_schema(self, tp: Any, keys_type: Any, values_type: Any) -> CoreSchema:
        return core_schema.dict_schema(self.generate_schema(keys_type), self.generate_schema(values_type))

    def _set_schema(self, tp: Any, items_type: Any) -> CoreSchema:
        return core_schema.set_schema(self.generate_schema(items_type))

    def _frozenset_schema(self, tp: Any, items_type: Any) -> CoreSchema:
        return core_schema.frozenset_schema(self.generate_schema(items_type))

    def _arbitrary_type_schema(self, tp: Any) -> CoreSchema:
        if not isinstance(tp, type):
            warn(
                f'{tp!r} is not a Python type (it may be an instance of an object),'
                ' Pydantic will allow any object with no validation since we cannot even'
                ' enforce that the input is an instance of the given type.'
                ' To get rid of this error wrap the type with `pydantic.SkipValidation`.',
                UserWarning,
            )
            return core_schema.any_schema()
        return core_schema.is_instance_schema(tp)

    def _unknown_type_schema(self, obj: Any) -> CoreSchema:
        raise PydanticSchemaGenerationError(
            f'Unable to generate pydantic-core schema for {obj!r}. '
            'Set `arbitrary_types_allowed=True` in the model_config to ignore this error'
            ' or implement `__get_pydantic_core_schema__` on your type to fully support it.'
            '\n\nIf you got this error by calling handler(<some type>) within'
            ' `__get_pydantic_core_schema__` then you likely need to call'
            ' `handler.generate_schema(<some type>)` since we do not call'
            ' `__get_pydantic_core_schema__` on `<some type>` otherwise to avoid infinite recursion.'
        )

    def _apply_discriminator_to_union(
        self, schema: CoreSchema, discriminator: str | Discriminator | None
    ) -> CoreSchema:
        if discriminator is None:
            return schema
        try:
            return _discriminated_union.apply_discriminator(
                schema,
                discriminator,
            )
        except _discriminated_union.MissingDefinitionForUnionRef:
            # defer until defs are resolved
            _discriminated_union.set_discriminator_in_metadata(
                schema,
                discriminator,
            )
            return schema

    class CollectedInvalid(Exception):
        pass

    def clean_schema(self, schema: CoreSchema) -> CoreSchema:
        schema = self.collect_definitions(schema)
        schema = simplify_schema_references(schema)
        if collect_invalid_schemas(schema):
            raise self.CollectedInvalid()
        schema = _discriminated_union.apply_discriminators(schema)
        schema = validate_core_schema(schema)
        return schema

    def collect_definitions(self, schema: CoreSchema) -> CoreSchema:
        ref = cast('str | None', schema.get('ref', None))
        if ref:
            self.defs.definitions[ref] = schema
        if 'ref' in schema:
            schema = core_schema.definition_reference_schema(schema['ref'])
        return core_schema.definitions_schema(
            schema,
            list(self.defs.definitions.values()),
        )

    def _add_js_function(self, metadata_schema: CoreSchema, js_function: Callable[..., Any]) -> None:
        metadata = CoreMetadataHandler(metadata_schema).metadata
        pydantic_js_functions = metadata.setdefault('pydantic_js_functions', [])
        # because of how we generate core schemas for nested generic models
        # we can end up adding `BaseModel.__get_pydantic_json_schema__` multiple times
        # this check may fail to catch duplicates if the function is a `functools.partial`
        # or something like that
        # but if it does it'll fail by inserting the duplicate
        if js_function not in pydantic_js_functions:
            pydantic_js_functions.append(js_function)

    def generate_schema(
        self,
        obj: Any,
        from_dunder_get_core_schema: bool = True,
    ) -> core_schema.CoreSchema:
        """Generate core schema.

        Args:
            obj: The object to generate core schema for.
            from_dunder_get_core_schema: Whether to generate schema from either the
                `__get_pydantic_core_schema__` function or `__pydantic_core_schema__` property.

        Returns:
            The generated core schema.

        Raises:
            PydanticUndefinedAnnotation:
                If it is not possible to evaluate forward reference.
            PydanticSchemaGenerationError:
                If it is not possible to generate pydantic-core schema.
            TypeError:
                - If `alias_generator` returns a disallowed type (must be str, AliasPath or AliasChoices).
                - If V1 style validator with `each_item=True` applied on a wrong field.
            PydanticUserError:
                - If `typing.TypedDict` is used instead of `typing_extensions.TypedDict` on Python < 3.12.
                - If `__modify_schema__` method is used instead of `__get_pydantic_json_schema__`.
        """
        schema: CoreSchema | None = None

        if from_dunder_get_core_schema:
            from_property = self._generate_schema_from_property(obj, obj)
            if from_property is not None:
                schema = from_property

        if schema is None:
            schema = self._generate_schema_inner(obj)

        metadata_js_function = _extract_get_pydantic_json_schema(obj, schema)
        if metadata_js_function is not None:
            metadata_schema = resolve_original_schema(schema, self.defs.definitions)
            if metadata_schema:
                self._add_js_function(metadata_schema, metadata_js_function)

        schema = _add_custom_serialization_from_json_encoders(self._config_wrapper.json_encoders, obj, schema)

        return schema

    def _model_schema(self, cls: type[BaseModel]) -> core_schema.CoreSchema:
        """Generate schema for a Pydantic model."""
        with self.defs.get_schema_or_ref(cls) as (model_ref, maybe_schema):
            if maybe_schema is not None:
                return maybe_schema

            fields = cls.model_fields
            decorators = cls.__pydantic_decorators__
            computed_fields = decorators.computed_fields
            check_decorator_fields_exist(
                chain(
                    decorators.field_validators.values(),
                    decorators.field_serializers.values(),
                    decorators.validators.values(),
                ),
                {*fields.keys(), *computed_fields.keys()},
            )
            config_wrapper = ConfigWrapper(cls.model_config, check=False)
            core_config = config_wrapper.core_config(cls)
            metadata = build_metadata_dict(js_functions=[partial(modify_model_json_schema, cls=cls)])

            model_validators = decorators.model_validators.values()

            extras_schema = None
            if core_config.get('extra_fields_behavior') == 'allow':
                assert cls.__mro__[0] is cls
                assert cls.__mro__[-1] is object
                for candidate_cls in cls.__mro__[:-1]:
                    extras_annotation = getattr(candidate_cls, '__annotations__', {}).get('__pydantic_extra__', None)
                    if extras_annotation is not None:
                        if isinstance(extras_annotation, str):
                            extras_annotation = _typing_extra.eval_type_backport(
                                _typing_extra._make_forward_ref(extras_annotation, is_argument=False, is_class=True),
                                self._types_namespace,
                            )
                        tp = get_origin(extras_annotation)
                        if tp not in (Dict, dict):
                            raise PydanticSchemaGenerationError(
                                'The type annotation for `__pydantic_extra__` must be `Dict[str, ...]`'
                            )
                        extra_items_type = self._get_args_resolving_forward_refs(
                            extras_annotation,
                            required=True,
                        )[1]
                        if extra_items_type is not Any:
                            extras_schema = self.generate_schema(extra_items_type)
                            break

            with self._config_wrapper_stack.push(config_wrapper), self._types_namespace_stack.push(cls):
                self = self._current_generate_schema
                if cls.__pydantic_root_model__:
                    root_field = self._common_field_schema('root', fields['root'], decorators)
                    inner_schema = root_field['schema']
                    inner_schema = apply_model_validators(inner_schema, model_validators, 'inner')
                    model_schema = core_schema.model_schema(
                        cls,
                        inner_schema,
                        custom_init=getattr(cls, '__pydantic_custom_init__', None),
                        root_model=True,
                        post_init=getattr(cls, '__pydantic_post_init__', None),
                        config=core_config,
                        ref=model_ref,
                        metadata=metadata,
                    )
                else:
                    fields_schema: core_schema.CoreSchema = core_schema.model_fields_schema(
                        {k: self._generate_md_field_schema(k, v, decorators) for k, v in fields.items()},
                        computed_fields=[
                            self._computed_field_schema(d, decorators.field_serializers)
                            for d in computed_fields.values()
                        ],
                        extras_schema=extras_schema,
                        model_name=cls.__name__,
                    )
                    inner_schema = apply_validators(fields_schema, decorators.root_validators.values(), None)
                    new_inner_schema = define_expected_missing_refs(inner_schema, recursively_defined_type_refs())
                    if new_inner_schema is not None:
                        inner_schema = new_inner_schema
                    inner_schema = apply_model_validators(inner_schema, model_validators, 'inner')

                    model_schema = core_schema.model_schema(
                        cls,
                        inner_schema,
                        custom_init=getattr(cls, '__pydantic_custom_init__', None),
                        root_model=False,
                        post_init=getattr(cls, '__pydantic_post_init__', None),
                        config=core_config,
                        ref=model_ref,
                        metadata=metadata,
                    )

                schema = self._apply_model_serializers(model_schema, decorators.model_serializers.values())
                schema = apply_model_validators(schema, model_validators, 'outer')
                self.defs.definitions[model_ref] = schema
                return core_schema.definition_reference_schema(model_ref)

    def _unpack_refs_defs(self, schema: CoreSchema) -> CoreSchema:
        """Unpack all 'definitions' schemas into `GenerateSchema.defs.definitions`
        and return the inner schema.
        """

        def get_ref(s: CoreSchema) -> str:
            return s['ref']  # type: ignore

        if schema['type'] == 'definitions':
            self.defs.definitions.update({get_ref(s): s for s in schema['definitions']})
            schema = schema['schema']
        return schema

    def _generate_schema_from_property(self, obj: Any, source: Any) -> core_schema.CoreSchema | None:
        """Try to generate schema from either the `__get_pydantic_core_schema__` function or
        `__pydantic_core_schema__` property.

        Note: `__get_pydantic_core_schema__` takes priority so it can
        decide whether to use a `__pydantic_core_schema__` attribute, or generate a fresh schema.
        """
        # avoid calling `__get_pydantic_core_schema__` if we've already visited this object
        if is_self_type(obj):
            obj = self.model_type_stack.get()
        with self.defs.get_schema_or_ref(obj) as (_, maybe_schema):
            if maybe_schema is not None:
                return maybe_schema
        if obj is source:
            ref_mode = 'unpack'
        else:
            ref_mode = 'to-def'

        schema: CoreSchema

        if (get_schema := getattr(obj, '__get_pydantic_core_schema__', None)) is not None:
            if len(inspect.signature(get_schema).parameters) == 1:
                # (source) -> CoreSchema
                schema = get_schema(source)
            else:
                schema = get_schema(
                    source, CallbackGetCoreSchemaHandler(self._generate_schema_inner, self, ref_mode=ref_mode)
                )
        # fmt: off
        elif (existing_schema := getattr(obj, '__pydantic_core_schema__', None)) is not None and existing_schema.get(
            'cls', None
        ) == obj:
            schema = existing_schema
        # fmt: on
        elif (validators := getattr(obj, '__get_validators__', None)) is not None:
            warn(
                '`__get_validators__` is deprecated and will be removed, use `__get_pydantic_core_schema__` instead.',
                PydanticDeprecatedSince20,
            )
            schema = core_schema.chain_schema([core_schema.with_info_plain_validator_function(v) for v in validators()])
        else:
            # we have no existing schema information on the property, exit early so that we can go generate a schema
            return None

        schema = self._unpack_refs_defs(schema)

        if is_function_with_inner_schema(schema):
            ref = schema['schema'].pop('ref', None)  # pyright: ignore[reportGeneralTypeIssues]
            if ref:
                schema['ref'] = ref
        else:
            ref = get_ref(schema)

        if ref:
            self.defs.definitions[ref] = schema
            return core_schema.definition_reference_schema(ref)

        return schema

    def _resolve_forward_ref(self, obj: Any) -> Any:
        # we assume that types_namespace has the target of forward references in its scope,
        # but this could fail, for example, if calling Validator on an imported type which contains
        # forward references to other types only defined in the module from which it was imported
        # `Validator(SomeImportedTypeAliasWithAForwardReference)`
        # or the equivalent for BaseModel
        # class Model(BaseModel):
        #   x: SomeImportedTypeAliasWithAForwardReference
        try:
            obj = _typing_extra.eval_type_backport(obj, globalns=self._types_namespace)
        except NameError as e:
            raise PydanticUndefinedAnnotation.from_name_error(e) from e

        # if obj is still a ForwardRef, it means we can't evaluate it, raise PydanticUndefinedAnnotation
        if isinstance(obj, ForwardRef):
            raise PydanticUndefinedAnnotation(obj.__forward_arg__, f'Unable to evaluate forward reference {obj}')

        if self._typevars_map:
            obj = replace_types(obj, self._typevars_map)

        return obj

    @overload
    def _get_args_resolving_forward_refs(self, obj: Any, required: Literal[True]) -> tuple[Any, ...]:
        ...

    @overload
    def _get_args_resolving_forward_refs(self, obj: Any) -> tuple[Any, ...] | None:
        ...

    def _get_args_resolving_forward_refs(self, obj: Any, required: bool = False) -> tuple[Any, ...] | None:
        args = get_args(obj)
        if args:
            args = tuple([self._resolve_forward_ref(a) if isinstance(a, ForwardRef) else a for a in args])
        elif required:  # pragma: no cover
            raise TypeError(f'Expected {obj} to have generic parameters but it had none')
        return args

    def _get_first_arg_or_any(self, obj: Any) -> Any:
        args = self._get_args_resolving_forward_refs(obj)
        if not args:
            return Any
        return args[0]

    def _get_first_two_args_or_any(self, obj: Any) -> tuple[Any, Any]:
        args = self._get_args_resolving_forward_refs(obj)
        if not args:
            return (Any, Any)
        if len(args) < 2:
            origin = get_origin(obj)
            raise TypeError(f'Expected two type arguments for {origin}, got 1')
        return args[0], args[1]

    def _generate_schema_inner(self, obj: Any) -> core_schema.CoreSchema:
        if isinstance(obj, _AnnotatedType):
            return self._annotated_schema(obj)

        if isinstance(obj, dict):
            # we assume this is already a valid schema
            return obj  # type: ignore[return-value]

        if isinstance(obj, str):
            obj = ForwardRef(obj)

        if isinstance(obj, ForwardRef):
            return self.generate_schema(self._resolve_forward_ref(obj))

        from ..main import BaseModel

        if lenient_issubclass(obj, BaseModel):
            with self.model_type_stack.push(obj):
                return self._model_schema(obj)

        if isinstance(obj, PydanticRecursiveRef):
            return core_schema.definition_reference_schema(schema_ref=obj.type_ref)

        return self.match_type(obj)

    def match_type(self, obj: Any) -> core_schema.CoreSchema:  # noqa: C901
        """Main mapping of types to schemas.

        The general structure is a series of if statements starting with the simple cases
        (non-generic primitive types) and then handling generics and other more complex cases.

        Each case either generates a schema directly, calls into a public user-overridable method
        (like `GenerateSchema.tuple_variable_schema`) or calls into a private method that handles some
        boilerplate before calling into the user-facing method (e.g. `GenerateSchema._tuple_schema`).

        The idea is that we'll evolve this into adding more and more user facing methods over time
        as they get requested and we figure out what the right API for them is.
        """
        if obj is str:
            return self.str_schema()
        elif obj is bytes:
            return core_schema.bytes_schema()
        elif obj is int:
            return core_schema.int_schema()
        elif obj is float:
            return core_schema.float_schema()
        elif obj is bool:
            return core_schema.bool_schema()
        elif obj is Any or obj is object:
            return core_schema.any_schema()
        elif obj is None or obj is _typing_extra.NoneType:
            return core_schema.none_schema()
        elif obj in TUPLE_TYPES:
            return self._tuple_schema(obj)
        elif obj in LIST_TYPES:
            return self._list_schema(obj, self._get_first_arg_or_any(obj))
        elif obj in SET_TYPES:
            return self._set_schema(obj, self._get_first_arg_or_any(obj))
        elif obj in FROZEN_SET_TYPES:
            return self._frozenset_schema(obj, self._get_first_arg_or_any(obj))
        elif obj in DICT_TYPES:
            return self._dict_schema(obj, *self._get_first_two_args_or_any(obj))
        elif isinstance(obj, TypeAliasType):
            return self._type_alias_type_schema(obj)
        elif obj == type:
            return self._type_schema()
        elif _typing_extra.is_callable_type(obj):
            return core_schema.callable_schema()
        elif _typing_extra.is_literal_type(obj):
            return self._literal_schema(obj)
        elif is_typeddict(obj):
            return self._typed_dict_schema(obj, None)
        elif _typing_extra.is_namedtuple(obj):
            return self._namedtuple_schema(obj, None)
        elif _typing_extra.is_new_type(obj):
            # NewType, can't use isinstance because it fails <3.10
            return self.generate_schema(obj.__supertype__)
        elif obj == re.Pattern:
            return self._pattern_schema(obj)
        elif obj is collections.abc.Hashable or obj is typing.Hashable:
            return self._hashable_schema()
        elif isinstance(obj, typing.TypeVar):
            return self._unsubstituted_typevar_schema(obj)
        elif is_finalvar(obj):
            if obj is Final:
                return core_schema.any_schema()
            return self.generate_schema(
                self._get_first_arg_or_any(obj),
            )
        elif isinstance(obj, (FunctionType, LambdaType, MethodType, partial)):
            return self._callable_schema(obj)
        elif inspect.isclass(obj) and issubclass(obj, Enum):
            from ._std_types_schema import get_enum_core_schema

            return get_enum_core_schema(obj, self._config_wrapper.config_dict)

        if _typing_extra.is_dataclass(obj):
            return self._dataclass_schema(obj, None)
        res = self._get_prepare_pydantic_annotations_for_known_type(obj, ())
        if res is not None:
            source_type, annotations = res
            return self._apply_annotations(source_type, annotations)

        origin = get_origin(obj)
        if origin is not None:
            return self._match_generic_type(obj, origin)

        if self._arbitrary_types:
            return self._arbitrary_type_schema(obj)
        return self._unknown_type_schema(obj)

    def _match_generic_type(self, obj: Any, origin: Any) -> CoreSchema:  # noqa: C901
        if isinstance(origin, TypeAliasType):
            return self._type_alias_type_schema(obj)

        # Need to handle generic dataclasses before looking for the schema properties because attribute accesses
        # on _GenericAlias delegate to the origin type, so lose the information about the concrete parametrization
        # As a result, currently, there is no way to cache the schema for generic dataclasses. This may be possible
        # to resolve by modifying the value returned by `Generic.__class_getitem__`, but that is a dangerous game.
        if _typing_extra.is_dataclass(origin):
            return self._dataclass_schema(obj, origin)
        if _typing_extra.is_namedtuple(origin):
            return self._namedtuple_schema(obj, origin)

        from_property = self._generate_schema_from_property(origin, obj)
        if from_property is not None:
            return from_property

        if _typing_extra.origin_is_union(origin):
            return self._union_schema(obj)
        elif origin in TUPLE_TYPES:
            return self._tuple_schema(obj)
        elif origin in LIST_TYPES:
            return self._list_schema(obj, self._get_first_arg_or_any(obj))
        elif origin in SET_TYPES:
            return self._set_schema(obj, self._get_first_arg_or_any(obj))
        elif origin in FROZEN_SET_TYPES:
            return self._frozenset_schema(obj, self._get_first_arg_or_any(obj))
        elif origin in DICT_TYPES:
            return self._dict_schema(obj, *self._get_first_two_args_or_any(obj))
        elif is_typeddict(origin):
            return self._typed_dict_schema(obj, origin)
        elif origin in (typing.Type, type):
            return self._subclass_schema(obj)
        elif origin in {typing.Sequence, collections.abc.Sequence}:
            return self._sequence_schema(obj)
        elif origin in {typing.Iterable, collections.abc.Iterable, typing.Generator, collections.abc.Generator}:
            return self._iterable_schema(obj)
        elif origin in (re.Pattern, typing.Pattern):
            return self._pattern_schema(obj)

        if self._arbitrary_types:
            return self._arbitrary_type_schema(origin)
        return self._unknown_type_schema(obj)

    def _generate_td_field_schema(
        self,
        name: str,
        field_info: FieldInfo,
        decorators: DecoratorInfos,
        *,
        required: bool = True,
    ) -> core_schema.TypedDictField:
        """Prepare a TypedDictField to represent a model or typeddict field."""
        common_field = self._common_field_schema(name, field_info, decorators)
        return core_schema.typed_dict_field(
            common_field['schema'],
            required=False if not field_info.is_required() else required,
            serialization_exclude=common_field['serialization_exclude'],
            validation_alias=common_field['validation_alias'],
            serialization_alias=common_field['serialization_alias'],
            metadata=common_field['metadata'],
        )

    def _generate_md_field_schema(
        self,
        name: str,
        field_info: FieldInfo,
        decorators: DecoratorInfos,
    ) -> core_schema.ModelField:
        """Prepare a ModelField to represent a model field."""
        common_field = self._common_field_schema(name, field_info, decorators)
        return core_schema.model_field(
            common_field['schema'],
            serialization_exclude=common_field['serialization_exclude'],
            validation_alias=common_field['validation_alias'],
            serialization_alias=common_field['serialization_alias'],
            frozen=common_field['frozen'],
            metadata=common_field['metadata'],
        )

    def _generate_dc_field_schema(
        self,
        name: str,
        field_info: FieldInfo,
        decorators: DecoratorInfos,
    ) -> core_schema.DataclassField:
        """Prepare a DataclassField to represent the parameter/field, of a dataclass."""
        common_field = self._common_field_schema(name, field_info, decorators)
        return core_schema.dataclass_field(
            name,
            common_field['schema'],
            init=field_info.init,
            init_only=field_info.init_var or None,
            kw_only=None if field_info.kw_only else False,
            serialization_exclude=common_field['serialization_exclude'],
            validation_alias=common_field['validation_alias'],
            serialization_alias=common_field['serialization_alias'],
            frozen=common_field['frozen'],
            metadata=common_field['metadata'],
        )

    @staticmethod
    def _apply_alias_generator_to_field_info(
        alias_generator: Callable[[str], str] | AliasGenerator, field_info: FieldInfo, field_name: str
    ) -> None:
        """Apply an alias_generator to aliases on a FieldInfo instance if appropriate.

        Args:
            alias_generator: A callable that takes a string and returns a string, or an AliasGenerator instance.
            field_info: The FieldInfo instance to which the alias_generator is (maybe) applied.
            field_name: The name of the field from which to generate the alias.
        """
        # Apply an alias_generator if
        # 1. An alias is not specified
        # 2. An alias is specified, but the priority is <= 1
        if (
            field_info.alias_priority is None
            or field_info.alias_priority <= 1
            or field_info.alias is None
            or field_info.validation_alias is None
            or field_info.serialization_alias is None
        ):
            alias, validation_alias, serialization_alias = None, None, None

            if isinstance(alias_generator, AliasGenerator):
                alias, validation_alias, serialization_alias = alias_generator.generate_aliases(field_name)
            elif isinstance(alias_generator, Callable):
                alias = alias_generator(field_name)
                if not isinstance(alias, str):
                    raise TypeError(f'alias_generator {alias_generator} must return str, not {alias.__class__}')

            # if priority is not set, we set to 1
            # which supports the case where the alias_generator from a child class is used
            # to generate an alias for a field in a parent class
            if field_info.alias_priority is None or field_info.alias_priority <= 1:
                field_info.alias_priority = 1

            # if the priority is 1, then we set the aliases to the generated alias
            if field_info.alias_priority == 1:
                field_info.serialization_alias = _get_first_non_null(serialization_alias, alias)
                field_info.validation_alias = _get_first_non_null(validation_alias, alias)
                field_info.alias = alias

            # if any of the aliases are not set, then we set them to the corresponding generated alias
            if field_info.alias is None:
                field_info.alias = alias
            if field_info.serialization_alias is None:
                field_info.serialization_alias = _get_first_non_null(serialization_alias, alias)
            if field_info.validation_alias is None:
                field_info.validation_alias = _get_first_non_null(validation_alias, alias)

    @staticmethod
    def _apply_alias_generator_to_computed_field_info(
        alias_generator: Callable[[str], str] | AliasGenerator,
        computed_field_info: ComputedFieldInfo,
        computed_field_name: str,
    ):
        """Apply an alias_generator to alias on a ComputedFieldInfo instance if appropriate.

        Args:
            alias_generator: A callable that takes a string and returns a string, or an AliasGenerator instance.
            computed_field_info: The ComputedFieldInfo instance to which the alias_generator is (maybe) applied.
            computed_field_name: The name of the computed field from which to generate the alias.
        """
        # Apply an alias_generator if
        # 1. An alias is not specified
        # 2. An alias is specified, but the priority is <= 1

        if (
            computed_field_info.alias_priority is None
            or computed_field_info.alias_priority <= 1
            or computed_field_info.alias is None
        ):
            alias, validation_alias, serialization_alias = None, None, None

            if isinstance(alias_generator, AliasGenerator):
                alias, validation_alias, serialization_alias = alias_generator.generate_aliases(computed_field_name)
            elif isinstance(alias_generator, Callable):
                alias = alias_generator(computed_field_name)
                if not isinstance(alias, str):
                    raise TypeError(f'alias_generator {alias_generator} must return str, not {alias.__class__}')

            # if priority is not set, we set to 1
            # which supports the case where the alias_generator from a child class is used
            # to generate an alias for a field in a parent class
            if computed_field_info.alias_priority is None or computed_field_info.alias_priority <= 1:
                computed_field_info.alias_priority = 1

            # if the priority is 1, then we set the aliases to the generated alias
            # note that we use the serialization_alias with priority over alias, as computed_field
            # aliases are used for serialization only (not validation)
            if computed_field_info.alias_priority == 1:
                computed_field_info.alias = _get_first_non_null(serialization_alias, alias)

    def _common_field_schema(  # C901
        self, name: str, field_info: FieldInfo, decorators: DecoratorInfos
    ) -> _CommonField:
        # Update FieldInfo annotation if appropriate:
        from .. import AliasChoices, AliasPath
        from ..fields import FieldInfo

        if has_instance_in_type(field_info.annotation, (ForwardRef, str)):
            types_namespace = self._types_namespace
            if self._typevars_map:
                types_namespace = (types_namespace or {}).copy()
                # Ensure that typevars get mapped to their concrete types:
                types_namespace.update({k.__name__: v for k, v in self._typevars_map.items()})

            evaluated = _typing_extra.eval_type_lenient(field_info.annotation, types_namespace)
            if evaluated is not field_info.annotation and not has_instance_in_type(evaluated, PydanticRecursiveRef):
                new_field_info = FieldInfo.from_annotation(evaluated)
                field_info.annotation = new_field_info.annotation

                # Handle any field info attributes that may have been obtained from now-resolved annotations
                for k, v in new_field_info._attributes_set.items():
                    # If an attribute is already set, it means it was set by assigning to a call to Field (or just a
                    # default value), and that should take the highest priority. So don't overwrite existing attributes.
                    # We skip over "attributes" that are present in the metadata_lookup dict because these won't
                    # actually end up as attributes of the `FieldInfo` instance.
                    if k not in field_info._attributes_set and k not in field_info.metadata_lookup:
                        setattr(field_info, k, v)

                # Finally, ensure the field info also reflects all the `_attributes_set` that are actually metadata.
                field_info.metadata = [*new_field_info.metadata, *field_info.metadata]

        source_type, annotations = field_info.annotation, field_info.metadata

        def set_discriminator(schema: CoreSchema) -> CoreSchema:
            schema = self._apply_discriminator_to_union(schema, field_info.discriminator)
            return schema

        with self.field_name_stack.push(name):
            if field_info.discriminator is not None:
                schema = self._apply_annotations(source_type, annotations, transform_inner_schema=set_discriminator)
            else:
                schema = self._apply_annotations(
                    source_type,
                    annotations,
                )

        # This V1 compatibility shim should eventually be removed
        # push down any `each_item=True` validators
        # note that this won't work for any Annotated types that get wrapped by a function validator
        # but that's okay because that didn't exist in V1
        this_field_validators = filter_field_decorator_info_by_field(decorators.validators.values(), name)
        if _validators_require_validate_default(this_field_validators):
            field_info.validate_default = True
        each_item_validators = [v for v in this_field_validators if v.info.each_item is True]
        this_field_validators = [v for v in this_field_validators if v not in each_item_validators]
        schema = apply_each_item_validators(schema, each_item_validators, name)

        schema = apply_validators(schema, filter_field_decorator_info_by_field(this_field_validators, name), name)
        schema = apply_validators(
            schema, filter_field_decorator_info_by_field(decorators.field_validators.values(), name), name
        )

        # the default validator needs to go outside of any other validators
        # so that it is the topmost validator for the field validator
        # which uses it to check if the field has a default value or not
        if not field_info.is_required():
            schema = wrap_default(field_info, schema)

        schema = self._apply_field_serializers(
            schema, filter_field_decorator_info_by_field(decorators.field_serializers.values(), name)
        )
        json_schema_updates = {
            'title': field_info.title,
            'description': field_info.description,
            'deprecated': bool(field_info.deprecated) or field_info.deprecated == '' or None,
            'examples': to_jsonable_python(field_info.examples),
        }
        json_schema_updates = {k: v for k, v in json_schema_updates.items() if v is not None}

        json_schema_extra = field_info.json_schema_extra

        metadata = build_metadata_dict(
            js_annotation_functions=[get_json_schema_update_func(json_schema_updates, json_schema_extra)]
        )

        alias_generator = self._config_wrapper.alias_generator
        if alias_generator is not None:
            self._apply_alias_generator_to_field_info(alias_generator, field_info, name)

        if isinstance(field_info.validation_alias, (AliasChoices, AliasPath)):
            validation_alias = field_info.validation_alias.convert_to_aliases()
        else:
            validation_alias = field_info.validation_alias

        return _common_field(
            schema,
            serialization_exclude=True if field_info.exclude else None,
            validation_alias=validation_alias,
            serialization_alias=field_info.serialization_alias,
            frozen=field_info.frozen,
            metadata=metadata,
        )

    def _union_schema(self, union_type: Any) -> core_schema.CoreSchema:
        """Generate schema for a Union."""
        args = self._get_args_resolving_forward_refs(union_type, required=True)
        choices: list[CoreSchema] = []
        nullable = False
        for arg in args:
            if arg is None or arg is _typing_extra.NoneType:
                nullable = True
            else:
                choices.append(self.generate_schema(arg))

        if len(choices) == 1:
            s = choices[0]
        else:
            choices_with_tags: list[CoreSchema | tuple[CoreSchema, str]] = []
            for choice in choices:
                tag = choice.get('metadata', {}).get(_core_utils.TAGGED_UNION_TAG_KEY)
                if tag is not None:
                    choices_with_tags.append((choice, tag))
                else:
                    choices_with_tags.append(choice)
            s = core_schema.union_schema(choices_with_tags)

        if nullable:
            s = core_schema.nullable_schema(s)
        return s

    def _type_alias_type_schema(
        self,
        obj: Any,  # TypeAliasType
    ) -> CoreSchema:
        with self.defs.get_schema_or_ref(obj) as (ref, maybe_schema):
            if maybe_schema is not None:
                return maybe_schema

            origin = get_origin(obj) or obj

            annotation = origin.__value__
            typevars_map = get_standard_typevars_map(obj)

            with self._types_namespace_stack.push(origin):
                annotation = _typing_extra.eval_type_lenient(annotation, self._types_namespace)
                annotation = replace_types(annotation, typevars_map)
                schema = self.generate_schema(annotation)
                assert schema['type'] != 'definitions'
                schema['ref'] = ref  # type: ignore
            self.defs.definitions[ref] = schema
            return core_schema.definition_reference_schema(ref)

    def _literal_schema(self, literal_type: Any) -> CoreSchema:
        """Generate schema for a Literal."""
        expected = _typing_extra.all_literal_values(literal_type)
        assert expected, f'literal "expected" cannot be empty, obj={literal_type}'
        return core_schema.literal_schema(expected)

    def _typed_dict_schema(self, typed_dict_cls: Any, origin: Any) -> core_schema.CoreSchema:
        """Generate schema for a TypedDict.

        It is not possible to track required/optional keys in TypedDict without __required_keys__
        since TypedDict.__new__ erases the base classes (it replaces them with just `dict`)
        and thus we can track usage of total=True/False
        __required_keys__ was added in Python 3.9
        (https://github.com/miss-islington/cpython/blob/1e9939657dd1f8eb9f596f77c1084d2d351172fc/Doc/library/typing.rst?plain=1#L1546-L1548)
        however it is buggy
        (https://github.com/python/typing_extensions/blob/ac52ac5f2cb0e00e7988bae1e2a1b8257ac88d6d/src/typing_extensions.py#L657-L666).

        On 3.11 but < 3.12 TypedDict does not preserve inheritance information.

        Hence to avoid creating validators that do not do what users expect we only
        support typing.TypedDict on Python >= 3.12 or typing_extension.TypedDict on all versions
        """
        from ..fields import FieldInfo

        with self.model_type_stack.push(typed_dict_cls), self.defs.get_schema_or_ref(typed_dict_cls) as (
            typed_dict_ref,
            maybe_schema,
        ):
            if maybe_schema is not None:
                return maybe_schema

            typevars_map = get_standard_typevars_map(typed_dict_cls)
            if origin is not None:
                typed_dict_cls = origin

            if not _SUPPORTS_TYPEDDICT and type(typed_dict_cls).__module__ == 'typing':
                raise PydanticUserError(
                    'Please use `typing_extensions.TypedDict` instead of `typing.TypedDict` on Python < 3.12.',
                    code='typed-dict-version',
                )

            try:
                config: ConfigDict | None = get_attribute_from_bases(typed_dict_cls, '__pydantic_config__')
            except AttributeError:
                config = None

            with self._config_wrapper_stack.push(config), self._types_namespace_stack.push(typed_dict_cls):
                core_config = self._config_wrapper.core_config(typed_dict_cls)

                self = self._current_generate_schema

                required_keys: frozenset[str] = typed_dict_cls.__required_keys__

                fields: dict[str, core_schema.TypedDictField] = {}

                decorators = DecoratorInfos.build(typed_dict_cls)

                if self._config_wrapper.use_attribute_docstrings:
                    field_docstrings = extract_docstrings_from_cls(typed_dict_cls, use_inspect=True)
                else:
                    field_docstrings = None

                for field_name, annotation in get_type_hints_infer_globalns(
                    typed_dict_cls, localns=self._types_namespace, include_extras=True
                ).items():
                    annotation = replace_types(annotation, typevars_map)
                    required = field_name in required_keys

                    if get_origin(annotation) == _typing_extra.Required:
                        required = True
                        annotation = self._get_args_resolving_forward_refs(
                            annotation,
                            required=True,
                        )[0]
                    elif get_origin(annotation) == _typing_extra.NotRequired:
                        required = False
                        annotation = self._get_args_resolving_forward_refs(
                            annotation,
                            required=True,
                        )[0]

                    field_info = FieldInfo.from_annotation(annotation)
                    if (
                        field_docstrings is not None
                        and field_info.description is None
                        and field_name in field_docstrings
                    ):
                        field_info.description = field_docstrings[field_name]
                    fields[field_name] = self._generate_td_field_schema(
                        field_name, field_info, decorators, required=required
                    )

                metadata = build_metadata_dict(
                    js_functions=[partial(modify_model_json_schema, cls=typed_dict_cls)], typed_dict_cls=typed_dict_cls
                )

                td_schema = core_schema.typed_dict_schema(
                    fields,
                    computed_fields=[
                        self._computed_field_schema(d, decorators.field_serializers)
                        for d in decorators.computed_fields.values()
                    ],
                    ref=typed_dict_ref,
                    metadata=metadata,
                    config=core_config,
                )

                schema = self._apply_model_serializers(td_schema, decorators.model_serializers.values())
                schema = apply_model_validators(schema, decorators.model_validators.values(), 'all')
                self.defs.definitions[typed_dict_ref] = schema
                return core_schema.definition_reference_schema(typed_dict_ref)

    def _namedtuple_schema(self, namedtuple_cls: Any, origin: Any) -> core_schema.CoreSchema:
        """Generate schema for a NamedTuple."""
        with self.model_type_stack.push(namedtuple_cls), self.defs.get_schema_or_ref(namedtuple_cls) as (
            namedtuple_ref,
            maybe_schema,
        ):
            if maybe_schema is not None:
                return maybe_schema
            typevars_map = get_standard_typevars_map(namedtuple_cls)
            if origin is not None:
                namedtuple_cls = origin

            annotations: dict[str, Any] = get_type_hints_infer_globalns(
                namedtuple_cls, include_extras=True, localns=self._types_namespace
            )
            if not annotations:
                # annotations is empty, happens if namedtuple_cls defined via collections.namedtuple(...)
                annotations = {k: Any for k in namedtuple_cls._fields}

            if typevars_map:
                annotations = {
                    field_name: replace_types(annotation, typevars_map)
                    for field_name, annotation in annotations.items()
                }

            arguments_schema = core_schema.arguments_schema(
                [
                    self._generate_parameter_schema(
                        field_name, annotation, default=namedtuple_cls._field_defaults.get(field_name, Parameter.empty)
                    )
                    for field_name, annotation in annotations.items()
                ],
                metadata=build_metadata_dict(js_prefer_positional_arguments=True),
            )
            return core_schema.call_schema(arguments_schema, namedtuple_cls, ref=namedtuple_ref)

    def _generate_parameter_schema(
        self,
        name: str,
        annotation: type[Any],
        default: Any = Parameter.empty,
        mode: Literal['positional_only', 'positional_or_keyword', 'keyword_only'] | None = None,
    ) -> core_schema.ArgumentsParameter:
        """Prepare a ArgumentsParameter to represent a field in a namedtuple or function signature."""
        from ..fields import FieldInfo

        if default is Parameter.empty:
            field = FieldInfo.from_annotation(annotation)
        else:
            field = FieldInfo.from_annotated_attribute(annotation, default)
        assert field.annotation is not None, 'field.annotation should not be None when generating a schema'
        source_type, annotations = field.annotation, field.metadata
        with self.field_name_stack.push(name):
            schema = self._apply_annotations(source_type, annotations)

        if not field.is_required():
            schema = wrap_default(field, schema)

        parameter_schema = core_schema.arguments_parameter(name, schema)
        if mode is not None:
            parameter_schema['mode'] = mode
        if field.alias is not None:
            parameter_schema['alias'] = field.alias
        else:
            alias_generator = self._config_wrapper.alias_generator
            if isinstance(alias_generator, AliasGenerator) and alias_generator.alias is not None:
                parameter_schema['alias'] = alias_generator.alias(name)
            elif isinstance(alias_generator, Callable):
                parameter_schema['alias'] = alias_generator(name)
        return parameter_schema

    def _tuple_schema(self, tuple_type: Any) -> core_schema.CoreSchema:
        """Generate schema for a Tuple, e.g. `tuple[int, str]` or `tuple[int, ...]`."""
        # TODO: do we really need to resolve type vars here?
        typevars_map = get_standard_typevars_map(tuple_type)
        params = self._get_args_resolving_forward_refs(tuple_type)

        if typevars_map and params:
            params = tuple(replace_types(param, typevars_map) for param in params)

        # NOTE: subtle difference: `tuple[()]` gives `params=()`, whereas `typing.Tuple[()]` gives `params=((),)`
        # This is only true for <3.11, on Python 3.11+ `typing.Tuple[()]` gives `params=()`
        if not params:
            if tuple_type in TUPLE_TYPES:
                return core_schema.tuple_schema([core_schema.any_schema()], variadic_item_index=0)
            else:
                # special case for `tuple[()]` which means `tuple[]` - an empty tuple
                return core_schema.tuple_schema([])
        elif params[-1] is Ellipsis:
            if len(params) == 2:
                return core_schema.tuple_schema([self.generate_schema(params[0])], variadic_item_index=0)
            else:
                # TODO: something like https://github.com/pydantic/pydantic/issues/5952
                raise ValueError('Variable tuples can only have one type')
        elif len(params) == 1 and params[0] == ():
            # special case for `Tuple[()]` which means `Tuple[]` - an empty tuple
            # NOTE: This conditional can be removed when we drop support for Python 3.10.
            return core_schema.tuple_schema([])
        else:
            return core_schema.tuple_schema([self.generate_schema(param) for param in params])

    def _type_schema(self) -> core_schema.CoreSchema:
        return core_schema.custom_error_schema(
            core_schema.is_instance_schema(type),
            custom_error_type='is_type',
            custom_error_message='Input should be a type',
        )

    def _union_is_subclass_schema(self, union_type: Any) -> core_schema.CoreSchema:
        """Generate schema for `Type[Union[X, ...]]`."""
        args = self._get_args_resolving_forward_refs(union_type, required=True)
        return core_schema.union_schema([self.generate_schema(typing.Type[args]) for args in args])

    def _subclass_schema(self, type_: Any) -> core_schema.CoreSchema:
        """Generate schema for a Type, e.g. `Type[int]`."""
        type_param = self._get_first_arg_or_any(type_)
        if type_param == Any:
            return self._type_schema()
        elif isinstance(type_param, typing.TypeVar):
            if type_param.__bound__:
                if _typing_extra.origin_is_union(get_origin(type_param.__bound__)):
                    return self._union_is_subclass_schema(type_param.__bound__)
                return core_schema.is_subclass_schema(type_param.__bound__)
            elif type_param.__constraints__:
                return core_schema.union_schema(
                    [self.generate_schema(typing.Type[c]) for c in type_param.__constraints__]
                )
            else:
                return self._type_schema()
        elif _typing_extra.origin_is_union(get_origin(type_param)):
            return self._union_is_subclass_schema(type_param)
        else:
            return core_schema.is_subclass_schema(type_param)

    def _sequence_schema(self, sequence_type: Any) -> core_schema.CoreSchema:
        """Generate schema for a Sequence, e.g. `Sequence[int]`."""
        from ._std_types_schema import serialize_sequence_via_list

        item_type = self._get_first_arg_or_any(sequence_type)
        item_type_schema = self.generate_schema(item_type)
        list_schema = core_schema.list_schema(item_type_schema)

        python_schema = core_schema.is_instance_schema(typing.Sequence, cls_repr='Sequence')
        if item_type != Any:
            from ._validators import sequence_validator

            python_schema = core_schema.chain_schema(
                [python_schema, core_schema.no_info_wrap_validator_function(sequence_validator, list_schema)],
            )

        serialization = core_schema.wrap_serializer_function_ser_schema(
            serialize_sequence_via_list, schema=item_type_schema, info_arg=True
        )
        return core_schema.json_or_python_schema(
            json_schema=list_schema, python_schema=python_schema, serialization=serialization
        )

    def _iterable_schema(self, type_: Any) -> core_schema.GeneratorSchema:
        """Generate a schema for an `Iterable`."""
        item_type = self._get_first_arg_or_any(type_)

        return core_schema.generator_schema(self.generate_schema(item_type))

    def _pattern_schema(self, pattern_type: Any) -> core_schema.CoreSchema:
        from . import _validators

        metadata = build_metadata_dict(js_functions=[lambda _1, _2: {'type': 'string', 'format': 'regex'}])
        ser = core_schema.plain_serializer_function_ser_schema(
            attrgetter('pattern'), when_used='json', return_schema=core_schema.str_schema()
        )
        if pattern_type == typing.Pattern or pattern_type == re.Pattern:
            # bare type
            return core_schema.no_info_plain_validator_function(
                _validators.pattern_either_validator, serialization=ser, metadata=metadata
            )

        param = self._get_args_resolving_forward_refs(
            pattern_type,
            required=True,
        )[0]
        if param == str:
            return core_schema.no_info_plain_validator_function(
                _validators.pattern_str_validator, serialization=ser, metadata=metadata
            )
        elif param == bytes:
            return core_schema.no_info_plain_validator_function(
                _validators.pattern_bytes_validator, serialization=ser, metadata=metadata
            )
        else:
            raise PydanticSchemaGenerationError(f'Unable to generate pydantic-core schema for {pattern_type!r}.')

    def _hashable_schema(self) -> core_schema.CoreSchema:
        return core_schema.custom_error_schema(
            core_schema.is_instance_schema(collections.abc.Hashable),
            custom_error_type='is_hashable',
            custom_error_message='Input should be hashable',
        )

    def _dataclass_schema(
        self, dataclass: type[StandardDataclass], origin: type[StandardDataclass] | None
    ) -> core_schema.CoreSchema:
        """Generate schema for a dataclass."""
        with self.model_type_stack.push(dataclass), self.defs.get_schema_or_ref(dataclass) as (
            dataclass_ref,
            maybe_schema,
        ):
            if maybe_schema is not None:
                return maybe_schema

            typevars_map = get_standard_typevars_map(dataclass)
            if origin is not None:
                dataclass = origin

            with ExitStack() as dataclass_bases_stack:
                # Pushing a namespace prioritises items already in the stack, so iterate though the MRO forwards
                for dataclass_base in dataclass.__mro__:
                    if dataclasses.is_dataclass(dataclass_base):
                        dataclass_bases_stack.enter_context(self._types_namespace_stack.push(dataclass_base))

                # Pushing a config overwrites the previous config, so iterate though the MRO backwards
                for dataclass_base in reversed(dataclass.__mro__):
                    if dataclasses.is_dataclass(dataclass_base):
                        config = getattr(dataclass_base, '__pydantic_config__', None)
                        dataclass_bases_stack.enter_context(self._config_wrapper_stack.push(config))

                core_config = self._config_wrapper.core_config(dataclass)

                self = self._current_generate_schema

                from ..dataclasses import is_pydantic_dataclass

                if is_pydantic_dataclass(dataclass):
                    fields = deepcopy(dataclass.__pydantic_fields__)
                    if typevars_map:
                        for field in fields.values():
                            field.apply_typevars_map(typevars_map, self._types_namespace)
                else:
                    fields = collect_dataclass_fields(
                        dataclass,
                        self._types_namespace,
                        typevars_map=typevars_map,
                    )

                # disallow combination of init=False on a dataclass field and extra='allow' on a dataclass
                if self._config_wrapper_stack.tail.extra == 'allow':
                    # disallow combination of init=False on a dataclass field and extra='allow' on a dataclass
                    for field_name, field in fields.items():
                        if field.init is False:
                            raise PydanticUserError(
                                f'Field {field_name} has `init=False` and dataclass has config setting `extra="allow"`. '
                                f'This combination is not allowed.',
                                code='dataclass-init-false-extra-allow',
                            )

                decorators = dataclass.__dict__.get('__pydantic_decorators__') or DecoratorInfos.build(dataclass)
                # Move kw_only=False args to the start of the list, as this is how vanilla dataclasses work.
                # Note that when kw_only is missing or None, it is treated as equivalent to kw_only=True
                args = sorted(
                    (self._generate_dc_field_schema(k, v, decorators) for k, v in fields.items()),
                    key=lambda a: a.get('kw_only') is not False,
                )
                has_post_init = hasattr(dataclass, '__post_init__')
                has_slots = hasattr(dataclass, '__slots__')

                args_schema = core_schema.dataclass_args_schema(
                    dataclass.__name__,
                    args,
                    computed_fields=[
                        self._computed_field_schema(d, decorators.field_serializers)
                        for d in decorators.computed_fields.values()
                    ],
                    collect_init_only=has_post_init,
                )

                inner_schema = apply_validators(args_schema, decorators.root_validators.values(), None)

                model_validators = decorators.model_validators.values()
                inner_schema = apply_model_validators(inner_schema, model_validators, 'inner')

                dc_schema = core_schema.dataclass_schema(
                    dataclass,
                    inner_schema,
                    post_init=has_post_init,
                    ref=dataclass_ref,
                    fields=[field.name for field in dataclasses.fields(dataclass)],
                    slots=has_slots,
                    config=core_config,
                )
                schema = self._apply_model_serializers(dc_schema, decorators.model_serializers.values())
                schema = apply_model_validators(schema, model_validators, 'outer')
                self.defs.definitions[dataclass_ref] = schema
                return core_schema.definition_reference_schema(dataclass_ref)

            # Type checkers seem to assume ExitStack may suppress exceptions and therefore
            # control flow can exit the `with` block without returning.
            assert False, 'Unreachable'

    def _callable_schema(self, function: Callable[..., Any]) -> core_schema.CallSchema:
        """Generate schema for a Callable.

        TODO support functional validators once we support them in Config
        """
        sig = signature(function)

        type_hints = _typing_extra.get_function_type_hints(function)

        mode_lookup: dict[_ParameterKind, Literal['positional_only', 'positional_or_keyword', 'keyword_only']] = {
            Parameter.POSITIONAL_ONLY: 'positional_only',
            Parameter.POSITIONAL_OR_KEYWORD: 'positional_or_keyword',
            Parameter.KEYWORD_ONLY: 'keyword_only',
        }

        arguments_list: list[core_schema.ArgumentsParameter] = []
        var_args_schema: core_schema.CoreSchema | None = None
        var_kwargs_schema: core_schema.CoreSchema | None = None

        for name, p in sig.parameters.items():
            if p.annotation is sig.empty:
                annotation = Any
            else:
                annotation = type_hints[name]

            parameter_mode = mode_lookup.get(p.kind)
            if parameter_mode is not None:
                arg_schema = self._generate_parameter_schema(name, annotation, p.default, parameter_mode)
                arguments_list.append(arg_schema)
            elif p.kind == Parameter.VAR_POSITIONAL:
                var_args_schema = self.generate_schema(annotation)
            else:
                assert p.kind == Parameter.VAR_KEYWORD, p.kind
                var_kwargs_schema = self.generate_schema(annotation)

        return_schema: core_schema.CoreSchema | None = None
        config_wrapper = self._config_wrapper
        if config_wrapper.validate_return:
            return_hint = type_hints.get('return')
            if return_hint is not None:
                return_schema = self.generate_schema(return_hint)

        return core_schema.call_schema(
            core_schema.arguments_schema(
                arguments_list,
                var_args_schema=var_args_schema,
                var_kwargs_schema=var_kwargs_schema,
                populate_by_name=config_wrapper.populate_by_name,
            ),
            function,
            return_schema=return_schema,
        )

    def _unsubstituted_typevar_schema(self, typevar: typing.TypeVar) -> core_schema.CoreSchema:
        assert isinstance(typevar, typing.TypeVar)

        bound = typevar.__bound__
        constraints = typevar.__constraints__
        default = getattr(typevar, '__default__', None)

        if (bound is not None) + (len(constraints) != 0) + (default is not None) > 1:
            raise NotImplementedError(
                'Pydantic does not support mixing more than one of TypeVar bounds, constraints and defaults'
            )

        if default is not None:
            return self.generate_schema(default)
        elif constraints:
            return self._union_schema(typing.Union[constraints])  # type: ignore
        elif bound:
            schema = self.generate_schema(bound)
            schema['serialization'] = core_schema.wrap_serializer_function_ser_schema(
                lambda x, h: h(x), schema=core_schema.any_schema()
            )
            return schema
        else:
            return core_schema.any_schema()

    def _computed_field_schema(
        self,
        d: Decorator[ComputedFieldInfo],
        field_serializers: dict[str, Decorator[FieldSerializerDecoratorInfo]],
    ) -> core_schema.ComputedField:
        try:
            return_type = _decorators.get_function_return_type(d.func, d.info.return_type, self._types_namespace)
        except NameError as e:
            raise PydanticUndefinedAnnotation.from_name_error(e) from e
        if return_type is PydanticUndefined:
            raise PydanticUserError(
                'Computed field is missing return type annotation or specifying `return_type`'
                ' to the `@computed_field` decorator (e.g. `@computed_field(return_type=int|str)`)',
                code='model-field-missing-annotation',
            )

        return_type = replace_types(return_type, self._typevars_map)
        # Create a new ComputedFieldInfo so that different type parametrizations of the same
        # generic model's computed field can have different return types.
        d.info = dataclasses.replace(d.info, return_type=return_type)
        return_type_schema = self.generate_schema(return_type)
        # Apply serializers to computed field if there exist
        return_type_schema = self._apply_field_serializers(
            return_type_schema,
            filter_field_decorator_info_by_field(field_serializers.values(), d.cls_var_name),
            computed_field=True,
        )

        alias_generator = self._config_wrapper.alias_generator
        if alias_generator is not None:
            self._apply_alias_generator_to_computed_field_info(
                alias_generator=alias_generator, computed_field_info=d.info, computed_field_name=d.cls_var_name
            )

        def set_computed_field_metadata(schema: CoreSchemaOrField, handler: GetJsonSchemaHandler) -> JsonSchemaValue:
            json_schema = handler(schema)

            json_schema['readOnly'] = True

            title = d.info.title
            if title is not None:
                json_schema['title'] = title

            description = d.info.description
            if description is not None:
                json_schema['description'] = description

            if d.info.deprecated or d.info.deprecated == '':
                json_schema['deprecated'] = True

            examples = d.info.examples
            if examples is not None:
                json_schema['examples'] = to_jsonable_python(examples)

            json_schema_extra = d.info.json_schema_extra
            if json_schema_extra is not None:
                add_json_schema_extra(json_schema, json_schema_extra)

            return json_schema

        metadata = build_metadata_dict(js_annotation_functions=[set_computed_field_metadata])
        return core_schema.computed_field(
            d.cls_var_name, return_schema=return_type_schema, alias=d.info.alias, metadata=metadata
        )

    def _annotated_schema(self, annotated_type: Any) -> core_schema.CoreSchema:
        """Generate schema for an Annotated type, e.g. `Annotated[int, Field(...)]` or `Annotated[int, Gt(0)]`."""
        from ..fields import FieldInfo

        source_type, *annotations = self._get_args_resolving_forward_refs(
            annotated_type,
            required=True,
        )
        schema = self._apply_annotations(source_type, annotations)
        # put the default validator last so that TypeAdapter.get_default_value() works
        # even if there are function validators involved
        for annotation in annotations:
            if isinstance(annotation, FieldInfo):
                schema = wrap_default(annotation, schema)
        return schema

    def _get_prepare_pydantic_annotations_for_known_type(
        self, obj: Any, annotations: tuple[Any, ...]
    ) -> tuple[Any, list[Any]] | None:
        from ._std_types_schema import PREPARE_METHODS

        # Check for hashability
        try:
            hash(obj)
        except TypeError:
            # obj is definitely not a known type if this fails
            return None

        for gen in PREPARE_METHODS:
            res = gen(obj, annotations, self._config_wrapper.config_dict)
            if res is not None:
                return res

        return None

    def _apply_annotations(
        self,
        source_type: Any,
        annotations: list[Any],
        transform_inner_schema: Callable[[CoreSchema], CoreSchema] = lambda x: x,
    ) -> CoreSchema:
        """Apply arguments from `Annotated` or from `FieldInfo` to a schema.

        This gets called by `GenerateSchema._annotated_schema` but differs from it in that it does
        not expect `source_type` to be an `Annotated` object, it expects it to be  the first argument of that
        (in other words, `GenerateSchema._annotated_schema` just unpacks `Annotated`, this process it).
        """
        annotations = list(_known_annotated_metadata.expand_grouped_metadata(annotations))
        res = self._get_prepare_pydantic_annotations_for_known_type(source_type, tuple(annotations))
        if res is not None:
            source_type, annotations = res

        pydantic_js_annotation_functions: list[GetJsonSchemaFunction] = []

        def inner_handler(obj: Any) -> CoreSchema:
            from_property = self._generate_schema_from_property(obj, obj)
            if from_property is None:
                schema = self._generate_schema_inner(obj)
            else:
                schema = from_property
            metadata_js_function = _extract_get_pydantic_json_schema(obj, schema)
            if metadata_js_function is not None:
                metadata_schema = resolve_original_schema(schema, self.defs.definitions)
                if metadata_schema is not None:
                    self._add_js_function(metadata_schema, metadata_js_function)
            return transform_inner_schema(schema)

        get_inner_schema = CallbackGetCoreSchemaHandler(inner_handler, self)

        for annotation in annotations:
            if annotation is None:
                continue
            get_inner_schema = self._get_wrapped_inner_schema(
                get_inner_schema, annotation, pydantic_js_annotation_functions
            )

        schema = get_inner_schema(source_type)
        if pydantic_js_annotation_functions:
            metadata = CoreMetadataHandler(schema).metadata
            metadata.setdefault('pydantic_js_annotation_functions', []).extend(pydantic_js_annotation_functions)
        return _add_custom_serialization_from_json_encoders(self._config_wrapper.json_encoders, source_type, schema)

    def _apply_single_annotation(self, schema: core_schema.CoreSchema, metadata: Any) -> core_schema.CoreSchema:
        from ..fields import FieldInfo

        if isinstance(metadata, FieldInfo):
            for field_metadata in metadata.metadata:
                schema = self._apply_single_annotation(schema, field_metadata)

            if metadata.discriminator is not None:
                schema = self._apply_discriminator_to_union(schema, metadata.discriminator)
            return schema

        if schema['type'] == 'nullable':
            # for nullable schemas, metadata is automatically applied to the inner schema
            inner = schema.get('schema', core_schema.any_schema())
            inner = self._apply_single_annotation(inner, metadata)
            if inner:
                schema['schema'] = inner
            return schema

        original_schema = schema
        ref = schema.get('ref', None)
        if ref is not None:
            schema = schema.copy()
            new_ref = ref + f'_{repr(metadata)}'
            if new_ref in self.defs.definitions:
                return self.defs.definitions[new_ref]
            schema['ref'] = new_ref  # type: ignore
        elif schema['type'] == 'definition-ref':
            ref = schema['schema_ref']
            if ref in self.defs.definitions:
                schema = self.defs.definitions[ref].copy()
                new_ref = ref + f'_{repr(metadata)}'
                if new_ref in self.defs.definitions:
                    return self.defs.definitions[new_ref]
                schema['ref'] = new_ref  # type: ignore

        maybe_updated_schema = _known_annotated_metadata.apply_known_metadata(metadata, schema.copy())

        if maybe_updated_schema is not None:
            return maybe_updated_schema
        return original_schema

    def _apply_single_annotation_json_schema(
        self, schema: core_schema.CoreSchema, metadata: Any
    ) -> core_schema.CoreSchema:
        from ..fields import FieldInfo

        if isinstance(metadata, FieldInfo):
            for field_metadata in metadata.metadata:
                schema = self._apply_single_annotation_json_schema(schema, field_metadata)
            json_schema_update: JsonSchemaValue = {}
            if metadata.title:
                json_schema_update['title'] = metadata.title
            if metadata.description:
                json_schema_update['description'] = metadata.description
            if metadata.examples:
                json_schema_update['examples'] = to_jsonable_python(metadata.examples)

            json_schema_extra = metadata.json_schema_extra
            if json_schema_update or json_schema_extra:
                CoreMetadataHandler(schema).metadata.setdefault('pydantic_js_annotation_functions', []).append(
                    get_json_schema_update_func(json_schema_update, json_schema_extra)
                )
        return schema

    def _get_wrapped_inner_schema(
        self,
        get_inner_schema: GetCoreSchemaHandler,
        annotation: Any,
        pydantic_js_annotation_functions: list[GetJsonSchemaFunction],
    ) -> CallbackGetCoreSchemaHandler:
        metadata_get_schema: GetCoreSchemaFunction = getattr(annotation, '__get_pydantic_core_schema__', None) or (
            lambda source, handler: handler(source)
        )

        def new_handler(source: Any) -> core_schema.CoreSchema:
            schema = metadata_get_schema(source, get_inner_schema)
            schema = self._apply_single_annotation(schema, annotation)
            schema = self._apply_single_annotation_json_schema(schema, annotation)

            metadata_js_function = _extract_get_pydantic_json_schema(annotation, schema)
            if metadata_js_function is not None:
                pydantic_js_annotation_functions.append(metadata_js_function)
            return schema

        return CallbackGetCoreSchemaHandler(new_handler, self)

    def _apply_field_serializers(
        self,
        schema: core_schema.CoreSchema,
        serializers: list[Decorator[FieldSerializerDecoratorInfo]],
        computed_field: bool = False,
    ) -> core_schema.CoreSchema:
        """Apply field serializers to a schema."""
        if serializers:
            schema = copy(schema)
            if schema['type'] == 'definitions':
                inner_schema = schema['schema']
                schema['schema'] = self._apply_field_serializers(inner_schema, serializers)
                return schema
            else:
                ref = typing.cast('str|None', schema.get('ref', None))
                if ref is not None:
                    schema = core_schema.definition_reference_schema(ref)

            # use the last serializer to make it easy to override a serializer set on a parent model
            serializer = serializers[-1]
            is_field_serializer, info_arg = inspect_field_serializer(
                serializer.func, serializer.info.mode, computed_field=computed_field
            )

            try:
                return_type = _decorators.get_function_return_type(
                    serializer.func, serializer.info.return_type, self._types_namespace
                )
            except NameError as e:
                raise PydanticUndefinedAnnotation.from_name_error(e) from e

            if return_type is PydanticUndefined:
                return_schema = None
            else:
                return_schema = self.generate_schema(return_type)

            if serializer.info.mode == 'wrap':
                schema['serialization'] = core_schema.wrap_serializer_function_ser_schema(
                    serializer.func,
                    is_field_serializer=is_field_serializer,
                    info_arg=info_arg,
                    return_schema=return_schema,
                    when_used=serializer.info.when_used,
                )
            else:
                assert serializer.info.mode == 'plain'
                schema['serialization'] = core_schema.plain_serializer_function_ser_schema(
                    serializer.func,
                    is_field_serializer=is_field_serializer,
                    info_arg=info_arg,
                    return_schema=return_schema,
                    when_used=serializer.info.when_used,
                )
        return schema

    def _apply_model_serializers(
        self, schema: core_schema.CoreSchema, serializers: Iterable[Decorator[ModelSerializerDecoratorInfo]]
    ) -> core_schema.CoreSchema:
        """Apply model serializers to a schema."""
        ref: str | None = schema.pop('ref', None)  # type: ignore
        if serializers:
            serializer = list(serializers)[-1]
            info_arg = inspect_model_serializer(serializer.func, serializer.info.mode)

            try:
                return_type = _decorators.get_function_return_type(
                    serializer.func, serializer.info.return_type, self._types_namespace
                )
            except NameError as e:
                raise PydanticUndefinedAnnotation.from_name_error(e) from e
            if return_type is PydanticUndefined:
                return_schema = None
            else:
                return_schema = self.generate_schema(return_type)

            if serializer.info.mode == 'wrap':
                ser_schema: core_schema.SerSchema = core_schema.wrap_serializer_function_ser_schema(
                    serializer.func,
                    info_arg=info_arg,
                    return_schema=return_schema,
                    when_used=serializer.info.when_used,
                )
            else:
                # plain
                ser_schema = core_schema.plain_serializer_function_ser_schema(
                    serializer.func,
                    info_arg=info_arg,
                    return_schema=return_schema,
                    when_used=serializer.info.when_used,
                )
            schema['serialization'] = ser_schema
        if ref:
            schema['ref'] = ref  # type: ignore
        return schema


_VALIDATOR_F_MATCH: Mapping[
    tuple[FieldValidatorModes, Literal['no-info', 'with-info']],
    Callable[[Callable[..., Any], core_schema.CoreSchema, str | None], core_schema.CoreSchema],
] = {
    ('before', 'no-info'): lambda f, schema, _: core_schema.no_info_before_validator_function(f, schema),
    ('after', 'no-info'): lambda f, schema, _: core_schema.no_info_after_validator_function(f, schema),
    ('plain', 'no-info'): lambda f, _1, _2: core_schema.no_info_plain_validator_function(f),
    ('wrap', 'no-info'): lambda f, schema, _: core_schema.no_info_wrap_validator_function(f, schema),
    ('before', 'with-info'): lambda f, schema, field_name: core_schema.with_info_before_validator_function(
        f, schema, field_name=field_name
    ),
    ('after', 'with-info'): lambda f, schema, field_name: core_schema.with_info_after_validator_function(
        f, schema, field_name=field_name
    ),
    ('plain', 'with-info'): lambda f, _, field_name: core_schema.with_info_plain_validator_function(
        f, field_name=field_name
    ),
    ('wrap', 'with-info'): lambda f, schema, field_name: core_schema.with_info_wrap_validator_function(
        f, schema, field_name=field_name
    ),
}


def apply_validators(
    schema: core_schema.CoreSchema,
    validators: Iterable[Decorator[RootValidatorDecoratorInfo]]
    | Iterable[Decorator[ValidatorDecoratorInfo]]
    | Iterable[Decorator[FieldValidatorDecoratorInfo]],
    field_name: str | None,
) -> core_schema.CoreSchema:
    """Apply validators to a schema.

    Args:
        schema: The schema to apply validators on.
        validators: An iterable of validators.
        field_name: The name of the field if validators are being applied to a model field.

    Returns:
        The updated schema.
    """
    for validator in validators:
        info_arg = inspect_validator(validator.func, validator.info.mode)
        val_type = 'with-info' if info_arg else 'no-info'

        schema = _VALIDATOR_F_MATCH[(validator.info.mode, val_type)](validator.func, schema, field_name)
    return schema


def _validators_require_validate_default(validators: Iterable[Decorator[ValidatorDecoratorInfo]]) -> bool:
    """In v1, if any of the validators for a field had `always=True`, the default value would be validated.

    This serves as an auxiliary function for re-implementing that logic, by looping over a provided
    collection of (v1-style) ValidatorDecoratorInfo's and checking if any of them have `always=True`.

    We should be able to drop this function and the associated logic calling it once we drop support
    for v1-style validator decorators. (Or we can extend it and keep it if we add something equivalent
    to the v1-validator `always` kwarg to `field_validator`.)
    """
    for validator in validators:
        if validator.info.always:
            return True
    return False


def apply_model_validators(
    schema: core_schema.CoreSchema,
    validators: Iterable[Decorator[ModelValidatorDecoratorInfo]],
    mode: Literal['inner', 'outer', 'all'],
) -> core_schema.CoreSchema:
    """Apply model validators to a schema.

    If mode == 'inner', only "before" validators are applied
    If mode == 'outer', validators other than "before" are applied
    If mode == 'all', all validators are applied

    Args:
        schema: The schema to apply validators on.
        validators: An iterable of validators.
        mode: The validator mode.

    Returns:
        The updated schema.
    """
    ref: str | None = schema.pop('ref', None)  # type: ignore
    for validator in validators:
        if mode == 'inner' and validator.info.mode != 'before':
            continue
        if mode == 'outer' and validator.info.mode == 'before':
            continue
        info_arg = inspect_validator(validator.func, validator.info.mode)
        if validator.info.mode == 'wrap':
            if info_arg:
                schema = core_schema.with_info_wrap_validator_function(function=validator.func, schema=schema)
            else:
                schema = core_schema.no_info_wrap_validator_function(function=validator.func, schema=schema)
        elif validator.info.mode == 'before':
            if info_arg:
                schema = core_schema.with_info_before_validator_function(function=validator.func, schema=schema)
            else:
                schema = core_schema.no_info_before_validator_function(function=validator.func, schema=schema)
        else:
            assert validator.info.mode == 'after'
            if info_arg:
                schema = core_schema.with_info_after_validator_function(function=validator.func, schema=schema)
            else:
                schema = core_schema.no_info_after_validator_function(function=validator.func, schema=schema)
    if ref:
        schema['ref'] = ref  # type: ignore
    return schema


def wrap_default(field_info: FieldInfo, schema: core_schema.CoreSchema) -> core_schema.CoreSchema:
    """Wrap schema with default schema if default value or `default_factory` are available.

    Args:
        field_info: The field info object.
        schema: The schema to apply default on.

    Returns:
        Updated schema by default value or `default_factory`.
    """
    if field_info.default_factory:
        return core_schema.with_default_schema(
            schema, default_factory=field_info.default_factory, validate_default=field_info.validate_default
        )
    elif field_info.default is not PydanticUndefined:
        return core_schema.with_default_schema(
            schema, default=field_info.default, validate_default=field_info.validate_default
        )
    else:
        return schema


def _extract_get_pydantic_json_schema(tp: Any, schema: CoreSchema) -> GetJsonSchemaFunction | None:
    """Extract `__get_pydantic_json_schema__` from a type, handling the deprecated `__modify_schema__`."""
    js_modify_function = getattr(tp, '__get_pydantic_json_schema__', None)

    if hasattr(tp, '__modify_schema__'):
        from pydantic import BaseModel  # circular reference

        has_custom_v2_modify_js_func = (
            js_modify_function is not None
            and BaseModel.__get_pydantic_json_schema__.__func__  # type: ignore
            not in (js_modify_function, getattr(js_modify_function, '__func__', None))
        )

        if not has_custom_v2_modify_js_func:
            cls_name = getattr(tp, '__name__', None)
            raise PydanticUserError(
                f'The `__modify_schema__` method is not supported in Pydantic v2. '
                f'Use `__get_pydantic_json_schema__` instead{f" in class `{cls_name}`" if cls_name else ""}.',
                code='custom-json-schema',
            )

    # handle GenericAlias' but ignore Annotated which "lies" about its origin (in this case it would be `int`)
    if hasattr(tp, '__origin__') and not isinstance(tp, type(Annotated[int, 'placeholder'])):
        return _extract_get_pydantic_json_schema(tp.__origin__, schema)

    if js_modify_function is None:
        return None

    return js_modify_function


def get_json_schema_update_func(
    json_schema_update: JsonSchemaValue, json_schema_extra: JsonDict | typing.Callable[[JsonDict], None] | None
) -> GetJsonSchemaFunction:
    def json_schema_update_func(
        core_schema_or_field: CoreSchemaOrField, handler: GetJsonSchemaHandler
    ) -> JsonSchemaValue:
        json_schema = {**handler(core_schema_or_field), **json_schema_update}
        add_json_schema_extra(json_schema, json_schema_extra)
        return json_schema

    return json_schema_update_func


def add_json_schema_extra(
    json_schema: JsonSchemaValue, json_schema_extra: JsonDict | typing.Callable[[JsonDict], None] | None
):
    if isinstance(json_schema_extra, dict):
        json_schema.update(to_jsonable_python(json_schema_extra))
    elif callable(json_schema_extra):
        json_schema_extra(json_schema)


class _CommonField(TypedDict):
    schema: core_schema.CoreSchema
    validation_alias: str | list[str | int] | list[list[str | int]] | None
    serialization_alias: str | None
    serialization_exclude: bool | None
    frozen: bool | None
    metadata: dict[str, Any]


def _common_field(
    schema: core_schema.CoreSchema,
    *,
    validation_alias: str | list[str | int] | list[list[str | int]] | None = None,
    serialization_alias: str | None = None,
    serialization_exclude: bool | None = None,
    frozen: bool | None = None,
    metadata: Any = None,
) -> _CommonField:
    return {
        'schema': schema,
        'validation_alias': validation_alias,
        'serialization_alias': serialization_alias,
        'serialization_exclude': serialization_exclude,
        'frozen': frozen,
        'metadata': metadata,
    }


class _Definitions:
    """Keeps track of references and definitions."""

    def __init__(self) -> None:
        self.seen: set[str] = set()
        self.definitions: dict[str, core_schema.CoreSchema] = {}

    @contextmanager
    def get_schema_or_ref(self, tp: Any) -> Iterator[tuple[str, None] | tuple[str, CoreSchema]]:
        """Get a definition for `tp` if one exists.

        If a definition exists, a tuple of `(ref_string, CoreSchema)` is returned.
        If no definition exists yet, a tuple of `(ref_string, None)` is returned.

        Note that the returned `CoreSchema` will always be a `DefinitionReferenceSchema`,
        not the actual definition itself.

        This should be called for any type that can be identified by reference.
        This includes any recursive types.

        At present the following types can be named/recursive:

        - BaseModel
        - Dataclasses
        - TypedDict
        - TypeAliasType
        """
        ref = get_type_ref(tp)
        # return the reference if we're either (1) in a cycle or (2) it was already defined
        if ref in self.seen or ref in self.definitions:
            yield (ref, core_schema.definition_reference_schema(ref))
        else:
            self.seen.add(ref)
            try:
                yield (ref, None)
            finally:
                self.seen.discard(ref)


def resolve_original_schema(schema: CoreSchema, definitions: dict[str, CoreSchema]) -> CoreSchema | None:
    if schema['type'] == 'definition-ref':
        return definitions.get(schema['schema_ref'], None)
    elif schema['type'] == 'definitions':
        return schema['schema']
    else:
        return schema


class _FieldNameStack:
    __slots__ = ('_stack',)

    def __init__(self) -> None:
        self._stack: list[str] = []

    @contextmanager
    def push(self, field_name: str) -> Iterator[None]:
        self._stack.append(field_name)
        yield
        self._stack.pop()

    def get(self) -> str | None:
        if self._stack:
            return self._stack[-1]
        else:
            return None


class _ModelTypeStack:
    __slots__ = ('_stack',)

    def __init__(self) -> None:
        self._stack: list[type] = []

    @contextmanager
    def push(self, type_obj: type) -> Iterator[None]:
        self._stack.append(type_obj)
        yield
        self._stack.pop()

    def get(self) -> type | None:
        if self._stack:
            return self._stack[-1]
        else:
            return None