[SPARK-48851][SQL] Attach full name for SCHEMA_NOT_FOUND

sql/api/src/main/scala/org/apache/spark/sql/catalyst/analysis/noSuchItemsExceptions.scala

@@ -52,6 +52,13 @@ class NoSuchDatabaseException private(
       messageParameters = Map("schemaName" -> quoteIdentifier(db)),
       cause = None)
   }
+
+  def this(db: Seq[String]) = {
+    this(
+      errorClass = "SCHEMA_NOT_FOUND",
+      messageParameters = Map("schemaName" -> quoteNameParts(db)),
+      cause = None)
+  }
 }
 
 // any changes to this class should be backward compatible as it may be used by external connectors

sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/catalog/SessionCatalog.scala

@@ -71,7 +71,9 @@ class SessionCatalog(
     functionExpressionBuilder: FunctionExpressionBuilder,
     cacheSize: Int = SQLConf.get.tableRelationCacheSize,
     cacheTTL: Long = SQLConf.get.metadataCacheTTL,
-    defaultDatabase: String = SQLConf.get.defaultDatabase) extends SQLConfHelper with Logging {
+    defaultDatabase: String = SQLConf.get.defaultDatabase,
+    var catalogName: Option[String] = Some(CatalogManager.SESSION_CATALOG_NAME))
+  extends SQLConfHelper with Logging {
   import SessionCatalog._
   import CatalogTypes.TablePartitionSpec
 
@@ -250,7 +252,8 @@ class SessionCatalog(
 
   private def requireDbExists(db: String): Unit = {
     if (!databaseExists(db)) {
-      throw new NoSuchDatabaseException(db)
+      val nameParts = catalogName.map(Seq(_, db)).getOrElse(Seq(db))
+      throw new NoSuchDatabaseException(nameParts)
     }
   }
 

sql/catalyst/src/test/scala/org/apache/spark/sql/connector/catalog/InMemoryTableCatalog.scala

@@ -210,7 +210,7 @@ class InMemoryTableCatalog extends BasicInMemoryTableCatalog with SupportsNamesp
       case _ if namespaceExists(namespace) =>
         util.Collections.emptyMap[String, String]
       case _ =>
-        throw new NoSuchNamespaceException(namespace)
+        throw new NoSuchNamespaceException(name +: namespace)
     }
   }
 

sql/core/src/main/scala/org/apache/spark/sql/execution/datasources/v2/V2SessionCatalog.scala

@@ -52,7 +52,9 @@ class V2SessionCatalog(catalog: SessionCatalog)
   override def name: String = CatalogManager.SESSION_CATALOG_NAME
 
   // This class is instantiated by Spark, so `initialize` method will not be called.
-  override def initialize(name: String, options: CaseInsensitiveStringMap): Unit = {}
+  override def initialize(name: String, options: CaseInsensitiveStringMap): Unit = {
+    catalog.catalogName = Some(name)
+  }
 
   override def capabilities(): util.Set[TableCatalogCapability] = {
     Set(

sql/core/src/test/scala/org/apache/spark/sql/execution/command/AlterNamespaceUnsetPropertiesSuiteBase.scala

@@ -57,7 +57,7 @@ trait AlterNamespaceUnsetPropertiesSuiteBase extends QueryTest with DDLCommandTe
     }
     checkError(e,
       errorClass = "SCHEMA_NOT_FOUND",
-      parameters = Map("schemaName" -> s"`$ns`"))
+      parameters = Map("schemaName" -> s"`$catalog`.`$ns`"))
   }
 
   test("basic test") {