diff --git a/source/libs/scalar/src/sclfunc.c b/source/libs/scalar/src/sclfunc.c
index 5c1b95e214..cf7de025cb 100644
--- a/source/libs/scalar/src/sclfunc.c
+++ b/source/libs/scalar/src/sclfunc.c
@@ -15,7 +15,15 @@ typedef int16_t (*_len_fn)(char *, int32_t);
 
 /** Math functions **/
 static double tlog(double v, double base) {
-  return log(v) / log(base);
+  double a = log(v);
+  double b = log(base);
+  if (isnan(a) || isinf(a)) {
+    return a;
+  } else if (isnan(b) || isinf(b)) {
+    return b;
+  } else {
+    return a / b;
+  }
 }
 
 int32_t absFunction(SScalarParam *pInput, int32_t inputNum, SScalarParam *pOutput) {
@@ -160,22 +168,64 @@ static int32_t doScalarFunctionUnique2(SScalarParam *pInput, int32_t inputNum, S
   }
 
   double *out = (double *)pOutputData->pData;
+  double result;
 
-  for (int32_t i = 0; i < pInput->numOfRows; ++i) {
-    if (colDataIsNull_s(pInputData[0], i) ||
-        colDataIsNull_s(pInputData[1], 0)) {
-      colDataAppendNULL(pOutputData, i);
-      continue;
+  int32_t numOfRows = MAX(pInput[0].numOfRows, pInput[1].numOfRows);
+  if (pInput[0].numOfRows == pInput[1].numOfRows) {
+    for (int32_t i = 0; i < numOfRows; ++i) {
+      if (colDataIsNull_s(pInputData[0], i) ||
+          colDataIsNull_s(pInputData[1], i)) {
+        colDataAppendNULL(pOutputData, i);
+        continue;
+      }
+      result = valFn(getValueFn[0](pInputData[0]->pData, i), getValueFn[1](pInputData[1]->pData, i));
+      if (isinf(result) || isnan(result)) {
+        colDataAppendNULL(pOutputData, i);
+      } else {
+        out[i] = result;
+      }
     }
-    double result = valFn(getValueFn[0](pInputData[0]->pData, i), getValueFn[1](pInputData[1]->pData, 0));
-    if (isinf(result) || isnan(result)) {
-      colDataAppendNULL(pOutputData, i);
+  } else if (pInput[0].numOfRows == 1) { //left operand is constant
+    if (colDataIsNull_s(pInputData[0], 0)) {
+      colDataAppendNNULL(pOutputData, 0, pInput[1].numOfRows);
     } else {
-      out[i] = result;
+      for (int32_t i = 0; i < numOfRows; ++i) {
+        if (colDataIsNull_s(pInputData[1], i)) {
+          colDataAppendNULL(pOutputData, i);
+          continue;
+        }
+
+        result = valFn(getValueFn[0](pInputData[0]->pData, 0), getValueFn[1](pInputData[1]->pData, i));
+        if (isinf(result) || isnan(result)) {
+          colDataAppendNULL(pOutputData, i);
+          continue;
+        }
+
+        out[i] = result;
+      }
+    }
+  } else if (pInput[1].numOfRows == 1) {
+    if (colDataIsNull_s(pInputData[1], 0)) {
+      colDataAppendNNULL(pOutputData, 0, pInput[0].numOfRows);
+    } else {
+      for (int32_t i = 0; i < numOfRows; ++i) {
+        if (colDataIsNull_s(pInputData[0], i)) {
+          colDataAppendNULL(pOutputData, i);
+          continue;
+        }
+
+        result = valFn(getValueFn[0](pInputData[0]->pData, i), getValueFn[1](pInputData[1]->pData, 0));
+        if (isinf(result) || isnan(result)) {
+          colDataAppendNULL(pOutputData, i);
+          continue;
+        }
+
+        out[i] = result;
+      }
     }
   }
 
-  pOutput->numOfRows = pInput->numOfRows;
+  pOutput->numOfRows = numOfRows;
   return TSDB_CODE_SUCCESS;
 }