address comments

src/parser/mod.rs

@@ -8384,9 +8384,9 @@ impl<'a> Parser<'a> {
         loop {
             if self.dialect.supports_object_name_double_dot_notation()
                 && idents.len() == 1
-                && self.peek_token() == Token::Period
+                && self.consume_token(&Token::Period)
             {
-                self.next_token();
+                // Empty string here means default schema
                 idents.push(Ident::new(""));
             }
             idents.push(self.parse_identifier(in_table_clause)?);

tests/sqlparser_snowflake.rs

@@ -2869,21 +2869,21 @@ fn test_projection_with_nested_trailing_commas() {
 fn test_sf_double_dot_notation() {
     snowflake().verified_stmt("SELECT * FROM db_name..table_name");
     snowflake().verified_stmt("SELECT * FROM x, y..z JOIN a..b AS b ON x.id = b.id");
-}
-
-#[test]
-fn test_sf_double_dot_notation_wrong_position() {}
 
-#[test]
-fn test_parse_double_dot_notation_wrong_position() {
     assert_eq!(
         snowflake()
             .parse_sql_statements("SELECT * FROM X.Y..")
             .unwrap_err()
             .to_string(),
         "sql parser error: Expected: identifier, found: ."
     );
-
+    assert_eq!(
+        snowflake()
+            .parse_sql_statements("SELECT * FROM X..Y..Z")
+            .unwrap_err()
+            .to_string(),
+        "sql parser error: Expected: identifier, found: ."
+    );
     assert_eq!(
         // Ensure we don't parse leading token
         snowflake()
@@ -2893,3 +2893,6 @@ fn test_parse_double_dot_notation_wrong_position() {
         "sql parser error: Expected: identifier, found: ."
     );
 }
+
+#[test]
+fn test_parse_double_dot_notation_wrong_position() {}