jonahgao commented on code in PR #11571:
URL: https://github.com/apache/datafusion/pull/11571#discussion_r1686201995


##########
datafusion/functions/src/math/log.rs:
##########
@@ -82,7 +82,13 @@ impl ScalarUDFImpl for LogFunc {
     }
 
     fn output_ordering(&self, input: &[ExprProperties]) -> 
Result<SortProperties> {
-        match (input[0].sort_properties, input[1].sort_properties) {
+        let (base_sort_properties, num_sort_properties) = if input.len() == 1 {
+            // log(x) defaults to log(10, x)
+            (SortProperties::Singleton, input[0].sort_properties)
+        } else {
+            (input[0].sort_properties, input[1].sort_properties)
+        };
+        match (num_sort_properties, base_sort_properties) {

Review Comment:
   Fixed the `nulls_first` problem for `log` by 
https://github.com/apache/datafusion/pull/11571/commits/3feeaa85718e0ce257cceb06004f56ec6267e424.
 We can create separate PRs for other fixes. 
   
   cc @2010YOUY01  @berkaysynnada 



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