fix: OpenAI JSON Schema error with embeds and title field

lib/instructor/json_schema.ex

@@ -133,6 +133,7 @@ defmodule Instructor.JSONSchema do
 
     properties =
       ecto_schema.__schema__(:fields)
+      |> Enum.reject(fn field -> field in ecto_schema.__schema__(:embeds) end)
       |> Enum.map(fn field ->
         type = ecto_schema.__schema__(:type, field)
         value = for_type(type)
@@ -165,7 +166,29 @@ defmodule Instructor.JSONSchema do
       end)
       |> Enum.into(%{})
 
-    properties = Map.merge(properties, associations)
+    embeds =
+      ecto_schema.__schema__(:embeds)
+      |> Enum.map(&ecto_schema.__schema__(:embed, &1))
+      |> Enum.map(fn association ->
+        field = association.field
+        title = title_for(association.related)
+
+        value =
+          if association.cardinality == :many do
+            %{
+              items: %{"$ref": "#/$defs/#{title}"},
+              title: title,
+              type: "array"
+            }
+          else
+            %{"$ref": "#/$defs/#{title}"}
+          end
+
+        {field, value}
+      end)
+      |> Enum.into(%{})
+
+    properties = properties |> Map.merge(associations) |> Map.merge(embeds)
     required = Map.keys(properties) |> Enum.sort()
     title = title_for(ecto_schema)
 
@@ -447,7 +470,8 @@ defmodule Instructor.JSONSchema do
     |> maybe_call_with_path(fun, path, opts)
   end
 
-  defp do_traverse_and_update(tree, fun, path, opts), do: maybe_call_with_path(tree, fun, path, opts)
+  defp do_traverse_and_update(tree, fun, path, opts),
+    do: maybe_call_with_path(tree, fun, path, opts)
 
   defp maybe_call_with_path(value, fun, path, opts) do
     if Keyword.get(opts, :include_path, false) do

test/json_schema_test.exs

@@ -299,6 +299,18 @@ defmodule JSONSchemaTest do
       @primary_key false
       embedded_schema do
         field(:string, :string)
+
+        embeds_many :many, Many do
+          field(:string, :string)
+
+          embeds_one :one, One do
+            field(:string, :string)
+
+            embeds_many :many, Many do
+              field(:string, :string)
+            end
+          end
+        end
       end
     end
 
@@ -324,19 +336,76 @@ defmodule JSONSchemaTest do
               "title" => "string",
               "type" => "string",
               "description" => "String, e.g. 'hello'"
+            },
+            "many" => %{
+              "items" => %{"$ref" => "#/$defs/JSONSchemaTest.Embedded.Many"},
+              "title" => "JSONSchemaTest.Embedded.Many",
+              "type" => "array"
             }
           },
-          "required" => ["string"],
+          "required" => ["many", "string"],
           "title" => "JSONSchemaTest.Embedded",
           "type" => "object",
           "additionalProperties" => false
+        },
+        "JSONSchemaTest.Embedded.Many" => %{
+          "title" => "JSONSchemaTest.Embedded.Many",
+          "type" => "object",
+          "required" => ["id", "one", "string"],
+          "additionalProperties" => false,
+          "description" => "",
+          "properties" => %{
+            "string" => %{
+              "title" => "string",
+              "type" => "string",
+              "description" => "String, e.g. 'hello'"
+            },
+            "id" => %{"title" => "id", "type" => "string"},
+            "one" => %{
+              "$ref" => "#/$defs/JSONSchemaTest.Embedded.Many.One"
+            }
+          }
+        },
+        "JSONSchemaTest.Embedded.Many.One" => %{
+          "title" => "JSONSchemaTest.Embedded.Many.One",
+          "type" => "object",
+          "required" => ["id", "many", "string"],
+          "additionalProperties" => false,
+          "description" => "",
+          "properties" => %{
+            "id" => %{"title" => "id", "type" => "string"},
+            "string" => %{
+              "title" => "string",
+              "type" => "string",
+              "description" => "String, e.g. 'hello'"
+            },
+            "many" => %{
+              "items" => %{"$ref" => "#/$defs/JSONSchemaTest.Embedded.Many.One.Many"},
+              "title" => "JSONSchemaTest.Embedded.Many.One.Many",
+              "type" => "array"
+            }
+          }
+        },
+        "JSONSchemaTest.Embedded.Many.One.Many" => %{
+          "title" => "JSONSchemaTest.Embedded.Many.One.Many",
+          "type" => "object",
+          "required" => ["id", "string"],
+          "additionalProperties" => false,
+          "description" => "",
+          "properties" => %{
+            "id" => %{"title" => "id", "type" => "string"},
+            "string" => %{
+              "title" => "string",
+              "type" => "string",
+              "description" => "String, e.g. 'hello'"
+            }
+          }
         }
       },
       "description" => "",
       "properties" => %{
         "embedded" => %{
-          "$ref" => "#/$defs/JSONSchemaTest.Embedded",
-          "title" => "embedded"
+          "$ref" => "#/$defs/JSONSchemaTest.Embedded"
         }
       },
       "required" => ["embedded"],