theirix commented on code in PR #17023:
URL: https://github.com/apache/datafusion/pull/17023#discussion_r2341870223


##########
datafusion/functions/src/math/log.rs:
##########
@@ -58,21 +64,81 @@ impl Default for LogFunc {
 
 impl LogFunc {
     pub fn new() -> Self {
-        use DataType::*;
         Self {
             signature: Signature::one_of(
                 vec![
-                    Exact(vec![Float32]),
-                    Exact(vec![Float64]),
-                    Exact(vec![Float32, Float32]),
-                    Exact(vec![Float64, Float64]),
+                    Numeric(1),
+                    Numeric(2),
+                    Exact(vec![DataType::Float32]),
+                    Exact(vec![DataType::Float64]),
+                    Exact(vec![DataType::Float32, DataType::Float32]),
+                    Exact(vec![DataType::Float64, DataType::Float64]),
+                    Exact(vec![
+                        DataType::Int64,
+                        DataType::Decimal128(DECIMAL128_MAX_PRECISION, 0),
+                    ]),
+                    Exact(vec![
+                        DataType::Float32,
+                        DataType::Decimal128(DECIMAL128_MAX_PRECISION, 0),
+                    ]),
+                    Exact(vec![
+                        DataType::Float64,
+                        DataType::Decimal128(DECIMAL128_MAX_PRECISION, 0),
+                    ]),
+                    Exact(vec![
+                        DataType::Int64,
+                        DataType::Decimal256(DECIMAL256_MAX_PRECISION, 0),
+                    ]),
+                    Exact(vec![
+                        DataType::Float32,
+                        DataType::Decimal256(DECIMAL256_MAX_PRECISION, 0),
+                    ]),
+                    Exact(vec![
+                        DataType::Float64,
+                        DataType::Decimal256(DECIMAL256_MAX_PRECISION, 0),
+                    ]),
                 ],
                 Volatility::Immutable,
             ),
         }
     }
 }
 
+/// Binary function to calculate an integer logarithm of Decimal128 `value` 
using `base` base
+/// Returns error if base is invalid
+fn log_decimal128(value: i128, scale: i8, base: f64) -> Result<f64, 
ArrowError> {
+    if !base.is_finite() || base.trunc() != base {
+        return Err(ArrowError::ComputeError(format!(

Review Comment:
   I started with pure DataFusionErrors, but then realised that the generic 
`calculate_binary_math` function requires all functors to return Arrow errors, 
since it uses Arrow's `try_unary`, `try_binary`. It means that our functors 
`log_decimal128` and `log_decimal256` must return `ArrowError`.
   
   At the same time, `calculate_binary_math` returns a DataFusionError, 
converting all the low-level arrow errors to DF's error. It means users will 
see pure `DataFusionError` (as a variant with `ArrowError`)



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