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	diff --git a/lib/open_api_spex/schema.ex b/lib/open_api_spex/schema.ex
	index 496aea0..72133b8 100644
	--- a/lib/open_api_spex/schema.ex
	+++ b/lib/open_api_spex/schema.ex
	@@ -1,862 +1,862 @@
	defmodule OpenApiSpex.Schema do
	@moduledoc """
	Defines the `OpenApiSpex.Schema.t` type and operations for casting and validating against a schema.

	The `OpenApiSpex.schema` macro can be used to declare schemas with an associated struct and JSON Encoder.

	## Examples

	defmodule MyApp.Schemas do
	defmodule EmailString do
	@behaviour OpenApiSpex.Schema
	def schema do
	%OpenApiSpex.Schema {
	title: "EmailString",
	type: :string,
	format: :email
	}
	end
	end

	defmodule Person do
	require OpenApiSpex
	alias OpenApiSpex.{Reference, Schema}

	OpenApiSpex.schema(%{
	type: :object,
	required: [:name],
	properties: %{
	name: %Schema{type: :string},
	address: %Reference{"$ref": "#/components/schemas/Address"},
	age: %Schema{type: :integer, format: :int32, minimum: 0}
	}
	})
	end

	defmodule StringDictionary do
	@behaviour OpenApiSpex.Schema

	def schema() do
	%OpenApiSpex.Schema{
	type: :object,
	additionalProperties: %OpenApiSpex.Schema{
	type: :string
	}
	}
	end
	end

	defmodule Pet do
	require OpenApiSpex
	alias OpenApiSpex.{Schema, Discriminator}

	OpenApiSpex.schema(%{
	title: "Pet",
	type: :object,
	discriminator: %Discriminator{
	propertyName: "petType"
	},
	properties: %{
	name: %Schema{type: :string},
	petType: %Schema{type: :string}
	},
	required: [:name, :petType]
	})
	end

	defmodule Cat do
	require OpenApiSpex
	alias OpenApiSpex.Schema

	OpenApiSpex.schema(%{
	title: "Cat",
	type: :object,
	description: "A representation of a cat. Note that `Cat` will be used as the discriminator value.",
	allOf: [
	Pet,
	%Schema{
	type: :object,
	properties: %{
	huntingSkill: %Schema{
	type: :string,
	description: "The measured skill for hunting",
	default: "lazy",
	enum: ["clueless", "lazy", "adventurous", "aggresive"]
	}
	},
	required: [:huntingSkill]
	}
	]
	})
	end

	defmodule Dog do
	require OpenApiSpex
	alias OpenApiSpex.Schema

	OpenApiSpex.schema(%{
	type: :object,
	title: "Dog",
	description: "A representation of a dog. Note that `Dog` will be used as the discriminator value.",
	allOf: [
	Pet,
	%Schema {
	type: :object,
	properties: %{
	packSize: %Schema{
	type: :integer,
	format: :int32,
	description: "the size of the pack the dog is from",
	default: 0,
	minimum: 0
	}
	},
	required: [
	:packSize
	]
	}
	]
	})
	end
	end
	"""

	alias OpenApiSpex.{
	Schema,
	Reference,
	Discriminator,
	Xml,
	ExternalDocumentation
	}

	@doc """
	A module implementing the `OpenApiSpex.Schema` behaviour should export a `schema/0` function
	that produces an `OpenApiSpex.Schema` struct.
	"""
	@callback schema() :: t

	defstruct [
	:title,
	:multipleOf,
	:maximum,
	:exclusiveMaximum,
	:minimum,
	:exclusiveMinimum,
	:maxLength,
	:minLength,
	:pattern,
	:maxItems,
	:minItems,
	:uniqueItems,
	:maxProperties,
	:minProperties,
	:required,
	:enum,
	:type,
	:allOf,
	:oneOf,
	:anyOf,
	:not,
	:items,
	:properties,
	:additionalProperties,
	:description,
	:format,
	:default,
	:nullable,
	:discriminator,
	:readOnly,
	:writeOnly,
	:xml,
	:externalDocs,
	:example,
	:deprecated,
	:"x-struct"
	]

	@typedoc """
	[Schema Object](https://swagger.io/specification/#schemaObject)

	The Schema Object allows the definition of input and output data types.
	These types can be objects, but also primitives and arrays.
	This object is an extended subset of the JSON Schema Specification Wright Draft 00.

	## Example
	alias OpenApiSpex.Schema

	%Schema{
	title: "User",
	type: :object,
	properties: %{
	id: %Schema{type: :integer, minimum: 1},
	name: %Schema{type: :string, pattern: "[a-zA-Z][a-zA-Z0-9_]+"},
	email: %Scheam{type: :string, format: :email},
	last_login: %Schema{type: :string, format: :"date-time"}
	},
	required: [:name, :email],
	example: %{
	"name" => "joe",
	"email" => "joe@gmail.com"
	}
	}
	"""
	@type t :: %__MODULE__{
	title: String.t() \| nil,
	multipleOf: number \| nil,
	maximum: number \| nil,
	exclusiveMaximum: boolean \| nil,
	minimum: number \| nil,
	exclusiveMinimum: boolean \| nil,
	maxLength: integer \| nil,
	minLength: integer \| nil,
	pattern: String.t() \| Regex.t() \| nil,
	maxItems: integer \| nil,
	minItems: integer \| nil,
	uniqueItems: boolean \| nil,
	maxProperties: integer \| nil,
	minProperties: integer \| nil,
	required: [atom] \| nil,
	- enum: [String.t()] \| nil,
	+ enum: [any] \| nil,
	type: data_type \| nil,
	allOf: [Schema.t() \| Reference.t() \| module] \| nil,
	oneOf: [Schema.t() \| Reference.t() \| module] \| nil,
	anyOf: [Schema.t() \| Reference.t() \| module] \| nil,
	not: Schema.t() \| Reference.t() \| module \| nil,
	items: Schema.t() \| Reference.t() \| module \| nil,
	properties: %{atom => Schema.t() \| Reference.t() \| module} \| nil,
	additionalProperties: boolean \| Schema.t() \| Reference.t() \| module \| nil,
	description: String.t() \| nil,
	format: String.t() \| atom \| nil,
	default: any,
	nullable: boolean \| nil,
	discriminator: Discriminator.t() \| nil,
	readOnly: boolean \| nil,
	writeOnly: boolean \| nil,
	xml: Xml.t() \| nil,
	externalDocs: ExternalDocumentation.t() \| nil,
	example: any,
	deprecated: boolean \| nil,
	"x-struct": module \| nil
	}

	@typedoc """
	The basic data types supported by openapi.

	[Reference](https://swagger.io/docs/specification/data-models/data-types/)
	"""
	@type data_type :: :string \| :number \| :integer \| :boolean \| :array \| :object

	@typedoc """
	Global schemas lookup by name.
	"""
	@type schemas :: %{String.t() => t()}

	@doc """
	Cast a simple value to the elixir type defined by a schema.

	By default, object types are cast to maps, however if the "x-struct" attribute is set in the schema,
	the result will be constructed as an instance of the given struct type.

	## Examples

	iex> OpenApiSpex.Schema.cast(%Schema{type: :integer}, "123", %{})
	{:ok, 123}

	iex> {:ok, dt = %DateTime{}} = OpenApiSpex.Schema.cast(%Schema{type: :string, format: :"date-time"}, "2018-04-02T13:44:55Z", %{})
	...> dt \|> DateTime.to_iso8601()
	"2018-04-02T13:44:55Z"

	## Casting Polymorphic Schemas

	Schemas using `discriminator`, `allOf`, `oneOf`, `anyOf` are cast using the following rules:

	- If a `discriminator` is present, cast the properties defined in the base schema, then
	cast the result using the schema identified by the discriminator. To avoid infinite recursion,
	the discriminator is only dereferenced if the discriminator property has not already been cast.

	- Cast the properties using each schema listing in `allOf`. When a property is defined in
	multiple `allOf` schemas, it will be cast using the first schema listed containing the property.

	- Cast the value using each schema listed in `oneOf`, stopping as soon as a sucessful cast is made.

	- Cast the value using each schema listed in `anyOf`, stopping as soon as a succesful cast is made.
	"""
	def cast(%Schema{type: :boolean}, value, _schemas) when is_boolean(value), do: {:ok, value}

	def cast(%Schema{type: :boolean}, value, _schemas) when is_binary(value) do
	case value do
	"true" -> {:ok, true}
	"false" -> {:ok, false}
	_ -> {:error, "Invalid boolean: #{inspect(value)}"}
	end
	end

	def cast(%Schema{type: :integer}, value, _schemas) when is_integer(value), do: {:ok, value}

	def cast(%Schema{type: :integer}, value, _schemas) when is_binary(value) do
	case Integer.parse(value) do
	{i, ""} -> {:ok, i}
	_ -> {:error, :bad_integer}
	end
	end

	def cast(%Schema{type: :number}, value, _schemas) when is_float(value), do: {:ok, value}

	def cast(%Schema{type: :number}, value, _schemas) when is_integer(value), do: {:ok, value / 1}

	def cast(%Schema{type: :number}, value, _schemas) when is_binary(value) do
	case Float.parse(value) do
	{x, ""} -> {:ok, x}
	_ -> {:error, :bad_float}
	end
	end

	def cast(%Schema{type: :string, format: :"date-time"}, value, _schemas) when is_binary(value) do
	case DateTime.from_iso8601(value) do
	{:ok, date_time = %DateTime{}, _offset} -> {:ok, date_time}
	error = {:error, _reason} -> error
	end
	end

	def cast(%Schema{type: :string, format: :date}, value, _schemas) when is_binary(value) do
	case Date.from_iso8601(value) do
	{:ok, date = %Date{}} -> {:ok, date}
	error = {:error, _reason} -> error
	end
	end

	def cast(%Schema{type: :string, format: :binary}, %Plug.Upload{} = value, _schemas) do
	{:ok, value}
	end

	def cast(%Schema{type: :string}, value, _schemas) when is_binary(value), do: {:ok, value}

	def cast(%Schema{type: :array, items: nil}, value, _schemas) when is_list(value),
	do: {:ok, value}

	def cast(%Schema{type: :array}, [], _schemas), do: {:ok, []}

	def cast(schema = %Schema{type: :array, items: items_schema}, [x \| rest], schemas) do
	with {:ok, x_cast} <- cast(items_schema, x, schemas),
	{:ok, rest_cast} <- cast(schema, rest, schemas) do
	{:ok, [x_cast \| rest_cast]}
	end
	end

	def cast(%Schema{type: :array}, value, _schemas) when not is_list(value) do
	{:error, "Invalid array: #{inspect(value)}"}
	end

	def cast(
	schema = %Schema{type: :object, discriminator: discriminator = %{}},
	value = %{},
	schemas
	) do
	discriminator_property = String.to_existing_atom(discriminator.propertyName)

	already_cast? =
	if Map.has_key?(value, discriminator_property) do
	{:error, :already_cast}
	else
	:ok
	end

	with :ok <- already_cast?,
	{:ok, partial_cast} <-
	cast(%Schema{type: :object, properties: schema.properties}, value, schemas),
	{:ok, derived_schema} <- Discriminator.resolve(discriminator, value, schemas),
	{:ok, result} <- cast(derived_schema, partial_cast, schemas),
	{:ok, struct} <- make_struct(result, derived_schema) do
	{:ok, struct}
	else
	{:error, :already_cast} -> {:ok, value}
	{:error, reason} -> {:error, reason}
	end
	end

	def cast(schema = %Schema{type: :object, allOf: all_of}, value = %{}, schemas)
	when is_list(all_of),
	do: OpenApiSpex.Cast.cast(schema, value, schemas)

	def cast(schema = %Schema{type: :object, allOf: []}, value = %{}, schemas) do
	cast(%{schema \| allOf: nil}, value, schemas)
	end

	def cast(schema = %Schema{oneOf: one_of}, value, schemas)
	- when is_list(one_of),
	- do: OpenApiSpex.Cast.cast(schema, value, schemas)
	+ when is_list(one_of),
	+ do: OpenApiSpex.Cast.cast(schema, value, schemas)

	def cast(%Schema{oneOf: []}, _value, _schemas) do
	{:error, "Failed to cast to any schema in oneOf"}
	end

	def cast(schema = %Schema{anyOf: [first \| rest]}, value, schemas) do
	case cast(first, value, schemas) do
	{:ok, result} ->
	cast(%{schema \| anyOf: nil}, result, schemas)

	{:error, _reason} ->
	cast(%{schema \| anyOf: rest}, value, schemas)
	end
	end

	def cast(%Schema{anyOf: []}, _value, _schemas) do
	{:error, "Failed to cast to any schema in anyOf"}
	end

	def cast(schema = %Schema{type: :object}, value, schemas) when is_map(value) do
	schema = %{schema \| properties: schema.properties \|\| %{}}

	{regular_properties, others} =
	value
	\|> no_struct()
	\|> Enum.split_with(fn {k, _v} -> is_binary(k) end)

	with {:ok, props} <- cast_properties(schema, regular_properties, schemas),
	{:ok, struct} <- Map.new(others ++ props) \|> make_struct(schema) do
	{:ok, struct}
	end
	end

	def cast(ref = %Reference{}, val, schemas),
	do: cast(Reference.resolve_schema(ref, schemas), val, schemas)

	def cast(_additionalProperties = false, val, _schemas) do
	{:error, "Unexpected field with value #{inspect(val)}"}
	end

	def cast(_additionalProperties, val, _schemas), do: {:ok, val}

	defp make_struct(val = %_{}, _), do: {:ok, val}
	defp make_struct(val, %{"x-struct": nil}), do: {:ok, val}

	defp make_struct(val, %{"x-struct": mod}) do
	keys = mod.schema \|> OpenApiSpex.Schema.properties() \|> Keyword.keys()

	if Map.keys(val) -- keys == [] do
	{:ok, struct(mod, val)}
	else
	{:error, :bad_structure}
	end
	end

	defp no_struct(val), do: Map.delete(val, :__struct__)

	@spec cast_properties(Schema.t(), list, %{String.t() => Schema.t()}) ::
	{:ok, list} \| {:error, String.t()}
	defp cast_properties(%Schema{}, [], _schemas), do: {:ok, []}

	defp cast_properties(object_schema = %Schema{}, [{key, value} \| rest], schemas) do
	{name, schema} =
	Enum.find(
	object_schema.properties,
	{key, object_schema.additionalProperties},
	fn {name, _schema} -> to_string(name) == to_string(key) end
	)

	with {:ok, new_value} <- cast(schema, value, schemas),
	{:ok, cast_tail} <- cast_properties(object_schema, rest, schemas) do
	{:ok, [{name, new_value} \| cast_tail]}
	end
	end

	@doc ~S"""
	Validate a value against a Schema.

	This expects that the value has already been `cast` to the appropriate data type.

	## Examples

	iex> OpenApiSpex.Schema.validate(%OpenApiSpex.Schema{type: :integer, minimum: 5}, 3, %{})
	{:error, "#: 3 is smaller than minimum 5"}

	iex> OpenApiSpex.Schema.validate(%OpenApiSpex.Schema{type: :string, pattern: "(.)@(.)"}, "joe@gmail.com", %{})
	:ok

	iex> OpenApiSpex.Schema.validate(%OpenApiSpex.Schema{type: :string, pattern: "(.)@(.)"}, "joegmail.com", %{})
	{:error, "#: Value \"joegmail.com\" does not match pattern: (.)@(.)"}
	"""
	@spec validate(Schema.t() \| Reference.t(), any, %{String.t() => Schema.t() \| Reference.t()}) ::
	:ok \| {:error, String.t()}
	def validate(schema, val, schemas), do: validate(schema, val, "#", schemas)

	@spec validate(Schema.t() \| Reference.t(), any, String.t(), %{
	String.t() => Schema.t() \| Reference.t()
	}) :: :ok \| {:error, String.t()}
	def validate(ref = %Reference{}, val, path, schemas),
	do: validate(Reference.resolve_schema(ref, schemas), val, path, schemas)

	def validate(%Schema{nullable: true}, nil, _path, _schemas), do: :ok

	def validate(%Schema{type: type}, nil, path, _schemas) when not is_nil(type) do
	{:error, "#{path}: null value where #{type} expected"}
	end

	def validate(schema = %Schema{anyOf: valid_schemas}, value, path, schemas)
	when is_list(valid_schemas) do
	if Enum.any?(valid_schemas, &(validate(&1, value, path, schemas) == :ok)) do
	validate(%{schema \| anyOf: nil}, value, path, schemas)
	else
	{:error, "#{path}: Failed to validate against any schema"}
	end
	end

	def validate(schema = %Schema{oneOf: valid_schemas}, value, path, schemas)
	when is_list(valid_schemas) do
	case Enum.count(valid_schemas, &(validate(&1, value, path, schemas) == :ok)) do
	1 -> validate(%{schema \| oneOf: nil}, value, path, schemas)
	0 -> {:error, "#{path}: Failed to validate against any schema"}
	other -> {:error, "#{path}: Validated against #{other} schemas when only one expected"}
	end
	end

	def validate(schema = %Schema{allOf: required_schemas}, value, path, schemas)
	when is_list(required_schemas) do
	required_schemas
	\|> Enum.map(&validate(&1, value, path, schemas))
	\|> Enum.reject(&(&1 == :ok))
	\|> Enum.map(fn {:error, msg} -> msg end)
	\|> case do
	[] -> validate(%{schema \| allOf: nil}, value, path, schemas)
	errors -> {:error, Enum.join(errors, "\n")}
	end
	end

	def validate(schema = %Schema{not: not_schema}, value, path, schemas)
	when not is_nil(not_schema) do
	case validate(not_schema, value, path, schemas) do
	{:error, _} -> validate(%{schema \| not: nil}, value, path, schemas)
	:ok -> {:error, "#{path}: Value is valid for schema given in `not`"}
	end
	end

	def validate(%Schema{enum: options = [_ \| _]}, value, path, _schemas) do
	case Enum.member?(options, value) do
	true ->
	:ok

	_ ->
	{:error, "#{path}: Value not in enum: #{inspect(value)}"}
	end
	end

	def validate(schema = %Schema{type: :integer}, value, path, _schemas) when is_integer(value) do
	validate_number_types(schema, value, path)
	end

	def validate(schema = %Schema{type: :number}, value, path, _schemas) when is_number(value) do
	validate_number_types(schema, value, path)
	end

	def validate(schema = %Schema{type: :string}, value, path, _schemas) when is_binary(value) do
	validate_string_types(schema, value, path)
	end

	def validate(%Schema{type: :string, format: :"date-time"}, %DateTime{}, _path, _schemas) do
	:ok
	end

	def validate(%Schema{type: :string, format: :binary}, %Plug.Upload{}, _path, _schemas) do
	:ok
	end

	def validate(%Schema{type: expected_type}, %DateTime{}, path, _schemas) do
	{:error, "#{path}: invalid type DateTime where #{expected_type} expected"}
	end

	def validate(%Schema{type: :string, format: :date}, %Date{}, _path, _schemas) do
	:ok
	end

	def validate(%Schema{type: expected_type}, %Date{}, path, _schemas) do
	{:error, "#{path}: invalid type Date where #{expected_type} expected"}
	end

	def validate(%Schema{type: :boolean}, value, _path, _schemas) when is_boolean(value), do: :ok

	def validate(schema = %Schema{type: :array}, value, path, schemas) when is_list(value) do
	with :ok <- validate_max_items(schema, value, path),
	:ok <- validate_min_items(schema, value, path),
	:ok <- validate_unique_items(schema, value, path),
	:ok <- validate_array_items(schema, value, {path, 0}, schemas) do
	:ok
	end
	end

	def validate(schema = %Schema{type: :object}, value = %{}, path, schemas) do
	schema = %{schema \| properties: schema.properties \|\| %{}, required: schema.required \|\| []}

	with :ok <- validate_required_properties(schema, value, path),
	:ok <- validate_max_properties(schema, value, path),
	:ok <- validate_min_properties(schema, value, path),
	:ok <-
	validate_object_properties(
	schema.properties,
	MapSet.new(schema.required),
	value,
	path,
	schemas
	) do
	:ok
	end
	end

	def validate(%Schema{type: nil}, _value, _path, _schemas) do
	# polymorphic schemas will terminate here after validating against anyOf/oneOf/allOf/not
	:ok
	end

	def validate(%Schema{type: expected_type}, value, path, _schemas)
	when not is_nil(expected_type) do
	{:error, "#{path}: invalid type #{term_type(value)} where #{expected_type} expected"}
	end

	@spec term_type(term) :: data_type \| nil \| String.t()
	defp term_type(v) when is_list(v), do: :array
	defp term_type(v) when is_map(v), do: :object
	defp term_type(v) when is_binary(v), do: :string
	defp term_type(v) when is_boolean(v), do: :boolean
	defp term_type(v) when is_integer(v), do: :integer
	defp term_type(v) when is_number(v), do: :number
	defp term_type(v) when is_nil(v), do: nil
	defp term_type(v), do: inspect(v)

	@spec validate_number_types(Schema.t(), number, String.t()) :: :ok \| {:error, String.t()}
	defp validate_number_types(schema, value, path) do
	with :ok <- validate_multiple(schema, value, path),
	:ok <- validate_maximum(schema, value, path),
	:ok <- validate_minimum(schema, value, path) do
	:ok
	end
	end

	@spec validate_string_types(Schema.t(), String.t(), String.t()) :: :ok \| {:error, String.t()}
	defp validate_string_types(schema, value, path) do
	with :ok <- validate_max_length(schema, value, path),
	:ok <- validate_min_length(schema, value, path),
	:ok <- validate_pattern(schema, value, path) do
	:ok
	end
	end

	@spec validate_multiple(Schema.t(), number, String.t()) :: :ok \| {:error, String.t()}
	defp validate_multiple(%{multipleOf: nil}, _, _), do: :ok
	defp validate_multiple(%{multipleOf: n}, value, _) when round(value / n) * n == value, do: :ok

	defp validate_multiple(%{multipleOf: n}, value, path),
	do: {:error, "#{path}: #{value} is not a multiple of #{n}"}

	@spec validate_maximum(Schema.t(), number, String.t()) :: :ok \| {:error, String.t()}
	defp validate_maximum(%{maximum: nil}, _val, _path), do: :ok

	defp validate_maximum(%{maximum: n, exclusiveMaximum: true}, value, _path) when value < n,
	do: :ok

	defp validate_maximum(%{maximum: n, exclusiveMaximum: true}, value, path),
	do: {:error, "#{path}: #{value} is larger than the exclusive maximum #{n}"}

	defp validate_maximum(%{maximum: n}, value, _path) when value <= n, do: :ok

	defp validate_maximum(%{maximum: n}, value, path),
	do: {:error, "#{path}: #{value} is larger than maximum #{n}"}

	@spec validate_minimum(Schema.t(), number, String.t()) :: :ok \| {:error, String.t()}
	defp validate_minimum(%{minimum: nil}, _val, _path), do: :ok

	defp validate_minimum(%{minimum: n, exclusiveMinimum: true}, value, _path) when value > n,
	do: :ok

	defp validate_minimum(%{minimum: n, exclusiveMinimum: true}, value, path),
	do: {:error, "#{path}: #{value} is smaller than the exclusive minimum #{n}"}

	defp validate_minimum(%{minimum: n}, value, _path) when value >= n, do: :ok

	defp validate_minimum(%{minimum: n}, value, path),
	do: {:error, "#{path}: #{value} is smaller than minimum #{n}"}

	@spec validate_max_length(Schema.t(), String.t(), String.t()) :: :ok \| {:error, String.t()}
	defp validate_max_length(%{maxLength: nil}, _val, _path), do: :ok

	defp validate_max_length(%{maxLength: n}, value, path) do
	case String.length(value) <= n do
	true -> :ok
	_ -> {:error, "#{path}: String length is larger than maxLength: #{n}"}
	end
	end

	@spec validate_min_length(Schema.t(), String.t(), String.t()) :: :ok \| {:error, String.t()}
	defp validate_min_length(%{minLength: nil}, _val, _path), do: :ok

	defp validate_min_length(%{minLength: n}, value, path) do
	case String.length(value) >= n do
	true -> :ok
	_ -> {:error, "#{path}: String length is smaller than minLength: #{n}"}
	end
	end

	@spec validate_pattern(Schema.t(), String.t(), String.t()) :: :ok \| {:error, String.t()}
	defp validate_pattern(%{pattern: nil}, _val, _path), do: :ok

	defp validate_pattern(schema = %{pattern: regex}, val, path) when is_binary(regex) do
	with {:ok, regex} <- Regex.compile(regex) do
	validate_pattern(%{schema \| pattern: regex}, val, path)
	end
	end

	defp validate_pattern(%{pattern: regex = %Regex{}}, val, path) do
	case Regex.match?(regex, val) do
	true -> :ok
	_ -> {:error, "#{path}: Value #{inspect(val)} does not match pattern: #{regex.source}"}
	end
	end

	@spec validate_max_items(Schema.t(), list, String.t()) :: :ok \| {:error, String.t()}
	defp validate_max_items(%Schema{maxItems: nil}, _val, _path), do: :ok
	defp validate_max_items(%Schema{maxItems: n}, value, _path) when length(value) <= n, do: :ok

	defp validate_max_items(%Schema{maxItems: n}, value, path) do
	{:error, "#{path}: Array length #{length(value)} is larger than maxItems: #{n}"}
	end

	@spec validate_min_items(Schema.t(), list, String.t()) :: :ok \| {:error, String.t()}
	defp validate_min_items(%Schema{minItems: nil}, _val, _path), do: :ok
	defp validate_min_items(%Schema{minItems: n}, value, _path) when length(value) >= n, do: :ok

	defp validate_min_items(%Schema{minItems: n}, value, path) do
	{:error, "#{path}: Array length #{length(value)} is smaller than minItems: #{n}"}
	end

	@spec validate_unique_items(Schema.t(), list, String.t()) :: :ok \| {:error, String.t()}
	defp validate_unique_items(%Schema{uniqueItems: true}, value, path) do
	unique_size =
	value
	\|> MapSet.new()
	\|> MapSet.size()

	case unique_size == length(value) do
	true -> :ok
	_ -> {:error, "#{path}: Array items must be unique"}
	end
	end

	defp validate_unique_items(_schema, _value, _path), do: :ok

	@spec validate_array_items(Schema.t(), list, {String.t(), integer}, %{String.t() => Schema.t()}) ::
	:ok \| {:error, String.t()}
	defp validate_array_items(%Schema{type: :array, items: nil}, value, _path, _schemas)
	when is_list(value),
	do: :ok

	defp validate_array_items(%Schema{type: :array}, [], _path, _schemas), do: :ok

	defp validate_array_items(
	schema = %Schema{type: :array, items: item_schema},
	[x \| rest],
	{path, index},
	schemas
	) do
	with :ok <- validate(item_schema, x, "#{path}/#{index}", schemas) do
	validate_array_items(schema, rest, {path, index + 1}, schemas)
	end
	end

	@spec validate_required_properties(Schema.t(), %{}, String.t()) :: :ok \| {:error, String.t()}
	defp validate_required_properties(%Schema{type: :object, required: nil}, _val, _path), do: :ok

	defp validate_required_properties(%Schema{type: :object, required: required}, value = %{}, path) do
	missing = required -- Map.keys(value)

	case missing do
	[] -> :ok
	_ -> {:error, "#{path}: Missing required properties: #{inspect(missing)}"}
	end
	end

	@spec validate_max_properties(Schema.t(), %{}, String.t()) :: :ok \| {:error, String.t()}
	defp validate_max_properties(%Schema{type: :object, maxProperties: nil}, _val, _path), do: :ok

	defp validate_max_properties(%Schema{type: :object, maxProperties: n}, val, _path)
	when map_size(val) <= n,
	do: :ok

	defp validate_max_properties(%Schema{type: :object, maxProperties: n}, val, path) do
	{:error,
	"#{path}: Object property count #{map_size(val)} is greater than maxProperties: #{n}"}
	end

	@spec validate_min_properties(Schema.t(), %{}, String.t()) :: :ok \| {:error, String.t()}
	defp validate_min_properties(%Schema{type: :object, minProperties: nil}, _val, _path), do: :ok

	defp validate_min_properties(%Schema{type: :object, minProperties: n}, val, _path)
	when map_size(val) >= n,
	do: :ok

	defp validate_min_properties(%Schema{type: :object, minProperties: n}, val, path) do
	{:error, "#{path}: Object property count #{map_size(val)} is less than minProperties: #{n}"}
	end

	@spec validate_object_properties(Enumerable.t(), MapSet.t(), %{}, String.t(), %{
	String.t() => Schema.t() \| Reference.t()
	}) :: :ok \| {:error, String.t()}
	defp validate_object_properties(properties = %{}, required, value = %{}, path, schemas = %{}) do
	properties
	\|> Enum.filter(fn {name, _schema} -> Map.has_key?(value, name) end)
	\|> validate_object_properties(required, value, path, schemas)
	end

	defp validate_object_properties([], _required, _val, _path, _schemas), do: :ok

	defp validate_object_properties(
	[{name, schema} \| rest],
	required,
	value = %{},
	path,
	schemas = %{}
	) do
	property_required = MapSet.member?(required, name)
	property_value = Map.get(value, name)
	property_path = "#{path}/#{name}"

	with :ok <-
	validate_object_property(
	schema,
	property_required,
	property_value,
	property_path,
	schemas
	),
	:ok <- validate_object_properties(rest, required, value, path, schemas) do
	:ok
	end
	end

	defp validate_object_property(_schema, false, nil, _path, _schemas), do: :ok

	defp validate_object_property(schema, _required, value, path, schemas) do
	validate(schema, value, path, schemas)
	end

	@doc """
	Get the names of all properties definied for a schema.

	Includes all properties directly defined in the schema, and all schemas
	included in the `allOf` list.
	"""
	def properties(schema = %Schema{type: :object, properties: properties = %{}}) do
	for({name, property} <- properties, do: {name, default(property)}) ++
	properties(%{schema \| properties: nil})
	end

	def properties(%Schema{allOf: schemas}) when is_list(schemas) do
	Enum.flat_map(schemas, &properties/1) \|> Enum.uniq()
	end

	def properties(schema_module) when is_atom(schema_module) do
	properties(schema_module.schema())
	end

	def properties(_), do: []

	defp default(schema_module) when is_atom(schema_module), do: schema_module.schema().default
	defp default(%{default: default}), do: default
	end

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