test: distinguish nan none in test case (#11540)

* test: distinguish nan and none

[TD-14736]

* modify test framework for datetime

* fix 2-query/math_funcs.py

* fix 2-query/math_funcs.py

tests/develop-test/2-query/math_funcs.py

@@ -2006,27 +2006,27 @@ class TDTestCase:
 
         tdSql.query("select acos(c2) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
+        tdSql.checkData(4, 0, nan)
         tdSql.checkData(5, 0, None)
         tdSql.checkData(6, 0, 0.0)
 
         tdSql.query("select acos(c2+c3) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, None)
         tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c2+c3) from tb1 order by ts desc limit 3 offset 2;")
         tdSql.checkRows(3)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
 
@@ -2034,18 +2034,18 @@ class TDTestCase:
         tdSql.checkRows(14)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 0.0)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
 
         tdSql.query("select acos(c2) from stb1 order by ts desc;")
         tdSql.checkRows(14)
@@ -2059,84 +2059,84 @@ class TDTestCase:
         tdSql.checkData(1, 1, "tb1")
         tdSql.checkData(2, 0, None)
         tdSql.checkData(2, 1, "tb1")
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(3, 0, nan)
         tdSql.checkData(3, 1, "tb1")
-        tdSql.checkData(4, 0, None)
+        tdSql.checkData(4, 0, nan)
         tdSql.checkData(4, 1, "tb1")
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(5, 1, "tb1")
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(6, 1, "tb1")
         tdSql.checkData(7, 0, 0.0)
         tdSql.checkData(7, 1, "tb2")
-        tdSql.checkData(8, 0, None)
+        tdSql.checkData(8, 0, nan)
         tdSql.checkData(8, 1, "tb2")
-        tdSql.checkData(9, 0, None)
+        tdSql.checkData(9, 0, nan)
         tdSql.checkData(9, 1, "tb2")
-        tdSql.checkData(10, 0, None)
+        tdSql.checkData(10, 0, nan)
         tdSql.checkData(10, 1, "tb2")
-        tdSql.checkData(11, 0, None)
+        tdSql.checkData(11, 0, nan)
         tdSql.checkData(11, 1, "tb2")
-        tdSql.checkData(12, 0, None)
+        tdSql.checkData(12, 0, nan)
         tdSql.checkData(12, 1, "tb2")
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(13, 0, nan)
         tdSql.checkData(13, 1, "tb2")
 
         tdSql.query("select acos(c3),tbname from stb1 where t1 > 1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(0, 1, "tb2")
-        tdSql.checkData(1, 0, None)
+        tdSql.checkData(1, 0, nan)
         tdSql.checkData(1, 1, "tb2")
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(2, 1, "tb2")
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(3, 0, nan)
         tdSql.checkData(3, 1, "tb2")
-        tdSql.checkData(4, 0, None)
+        tdSql.checkData(4, 0, nan)
         tdSql.checkData(4, 1, "tb2")
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(5, 1, "tb2")
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(6, 1, "tb2")
 
         tdSql.query("select acos(a) from (select avg(c2) as a from stb1 interval(1s));")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c2) from (select * from stb1);")
         tdSql.checkRows(14)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 0.0)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
 
         tdSql.query(
             "select acos(a) from (select avg(c2) as a from stb1 where ts >= '2021-11-11 09:00:00.000' and ts <= '2021-11-11 09:00:09.000' interval(1s) fill(null));"
         )
         tdSql.checkRows(10)
         tdSql.checkData(0, 0, 0.0)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
@@ -2146,12 +2146,12 @@ class TDTestCase:
         )
         tdSql.checkRows(10)
         tdSql.checkData(0, 0, 0.0)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
@@ -2163,12 +2163,12 @@ class TDTestCase:
         tdSql.checkData(0, 0, None)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
-        tdSql.checkData(8, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
+        tdSql.checkData(8, 0, nan)
         tdSql.checkData(9, 0, 0.0)
 
         tdSql.query(
@@ -2178,25 +2178,25 @@ class TDTestCase:
         tdSql.checkData(0, 0, None)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
         tdSql.checkData(8, 0, 0.0)
-        tdSql.checkData(9, 0, None)
+        tdSql.checkData(9, 0, nan)
 
         tdSql.query(
             "select acos(a) from (select avg(c2) as a from stb1 where ts >= '2021-11-11 09:00:00.000' and ts <= '2021-11-11 09:00:09.000' interval(1s) fill(null)) order by a;"
         )
         tdSql.checkRows(10)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, 0.0)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
@@ -2205,11 +2205,11 @@ class TDTestCase:
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query(
             "select acos(tb1.c3),acos(tb2.c3) from tb1,tb2 where tb1.ts=tb2.ts;"
@@ -2218,34 +2218,34 @@ class TDTestCase:
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(0, 1, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(1, 1, None)
+        tdSql.checkData(1, 1, nan)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(2, 1, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(3, 1, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(4, 1, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(5, 1, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(6, 1, None)
+        tdSql.checkData(2, 1, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(3, 1, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(4, 1, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(5, 1, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(6, 1, nan)
 
         tdSql.query("select acos(c3) from tb1 union all select acos(c3) from tb2;")
         tdSql.checkRows(14)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 0.0)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
 
         # ===========  end   math_atan  ==========
 
@@ -3828,107 +3828,107 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 0.5404763088546395)
         tdSql.checkData(5, 0, 1.8886092516277813)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c2) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 1.0)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c3) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.465913680008469)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c4) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.22544144151366513)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c5) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.11093150296463757)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c6) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.05459909915208762)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c7) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.006824887406193638)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c10) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.8748229478056855)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c11) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.4367939948774267)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c12) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.2183963964662152)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c13) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.11093150296463757)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c2 + c3) from tb1;")
         tdSql.checkRows(7)
@@ -3938,7 +3938,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 0.6666666666666667)
         tdSql.checkData(5, 0, 0.4657403972991969)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,(c2 + c3)) from tb1;")
         tdSql.checkRows(7)
@@ -3948,17 +3948,17 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 0.6666666666666667)
         tdSql.checkData(5, 0, 0.4657403972991969)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,(c2 * c3)+c4-6) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 0.5252990700743871)
         tdSql.checkData(5, 0, 0.22542113212116985)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,11)+c2 from tb1;")
         tdSql.checkRows(7)
@@ -3968,17 +3968,17 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 4.578129652635775)
         tdSql.checkData(5, 0, 129.02018292517226)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c2)+11 from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 12.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 12.0)
         tdSql.checkData(5, 0, 12.0)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query(
             "select log(c2,c2+c3) from tb1 where c2 is not null and c3 is not null;"
@@ -3987,21 +3987,21 @@ class TDTestCase:
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, 0.6666666666666667)
         tdSql.checkData(2, 0, 0.4657403972991969)
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(3, 0, nan)
 
         tdSql.query("select log(c2,c2) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, 1.0)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c2+c3) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, 0.4657403972991969)
         tdSql.checkData(2, 0, 0.6666666666666667)
         tdSql.checkData(3, 0, None)
@@ -4017,14 +4017,14 @@ class TDTestCase:
 
         tdSql.query("select log(c2,c2) from stb1;")
         tdSql.checkRows(14)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 1.0)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
         tdSql.checkData(8, 0, 1.0)
         tdSql.checkData(9, 0, 1.0)
         tdSql.checkData(10, 0, 1.0)
@@ -4038,7 +4038,7 @@ class TDTestCase:
         tdSql.checkRows(14)
         tdSql.query("select log(c2,c3),tbname from stb1;")
         tdSql.checkRows(14)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(0, 1, "tb1")
         tdSql.checkData(1, 0, None)
         tdSql.checkData(1, 1, "tb1")
@@ -4050,9 +4050,9 @@ class TDTestCase:
         tdSql.checkData(4, 1, "tb1")
         tdSql.checkData(5, 0, 0.465913680008469)
         tdSql.checkData(5, 1, "tb1")
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(6, 1, "tb1")
-        tdSql.checkData(7, 0, None)
+        tdSql.checkData(7, 0, nan)
         tdSql.checkData(7, 1, "tb2")
         tdSql.checkData(8, 0, 1.0)
         tdSql.checkData(8, 1, "tb2")
@@ -4069,7 +4069,7 @@ class TDTestCase:
 
         tdSql.query("select log(c2,c3),tbname from stb1 where t1 > 1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(0, 1, "tb2")
         tdSql.checkData(1, 0, 1.0)
         tdSql.checkData(1, 1, "tb2")
@@ -4086,14 +4086,14 @@ class TDTestCase:
 
         tdSql.query("select log(c2,c2) from (select * from stb1);")
         tdSql.checkRows(14)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 1.0)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
         tdSql.checkData(8, 0, 1.0)
         tdSql.checkData(9, 0, 1.0)
         tdSql.checkData(10, 0, 1.0)
@@ -4103,14 +4103,14 @@ class TDTestCase:
 
         tdSql.query("select log(c2,c3) from tb1 union all select log(c2,c3) from tb2;")
         tdSql.checkRows(14)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.465913680008469)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
         tdSql.checkData(8, 0, 1.0)
         tdSql.checkData(9, 0, 1.0)
         tdSql.checkData(10, 0, 1.0)
@@ -4269,7 +4269,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 2.0)
         tdSql.checkData(5, 0, 11.269427669584644)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select sqrt(c3) from tb1;")
         tdSql.checkRows(7)
@@ -4279,7 +4279,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, 1.7320508075688772)
         tdSql.checkData(4, 0, 2.0)
         tdSql.checkData(5, 0, 181.01657382681842)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select sqrt(c4) from tb1;")
         tdSql.checkRows(7)
@@ -4289,7 +4289,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 2.0)
         tdSql.checkData(5, 0, 46340.950001051984)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select sqrt(c5) from tb1;")
         tdSql.checkRows(7)
@@ -4299,7 +4299,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, 1.7320508075688772)
         tdSql.checkData(4, 0, 2.0)
         tdSql.checkData(5, 0, 3037000499.97605)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select sqrt(c6) from tb1;")
         tdSql.checkRows(7)
@@ -4309,7 +4309,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 2.0)
         tdSql.checkData(5, 0, 1.844674352395373e19)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select sqrt(c7) from tb1;")
         tdSql.checkRows(7)
@@ -4319,7 +4319,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, 1.7320508075688772)
         tdSql.checkData(4, 0, 2.0)
         tdSql.checkData(5, 0, 1.3407796239501852e154)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select sqrt(c10) from tb1;")
         tdSql.checkRows(7)
@@ -4369,7 +4369,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.4142135623730951)
         tdSql.checkData(5, 0, 3.3569968229929326)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select sqrt(c2 + c3) from tb1;")
         tdSql.checkRows(7)
@@ -4379,7 +4379,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 2.8284271247461903)
         tdSql.checkData(5, 0, 181.36703118262702)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select sqrt((c2 + c3)) from tb1;")
         tdSql.checkRows(7)
@@ -4389,17 +4389,17 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 2.8284271247461903)
         tdSql.checkData(5, 0, 181.36703118262702)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select sqrt((c2 * c3)+c4-6) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 3.7416573867739413)
         tdSql.checkData(5, 0, 46385.82811592351)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select sqrt(11)+c2 from tb1;")
         tdSql.checkRows(7)
@@ -4419,7 +4419,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 13.0)
         tdSql.checkData(5, 0, 22.269427669584644)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query(
             "select sqrt(c2+c3) from tb1 where c2 is not null and c3 is not null;"
@@ -4428,11 +4428,11 @@ class TDTestCase:
         tdSql.checkData(0, 0, 1.4142135623730951)
         tdSql.checkData(1, 0, 2.8284271247461903)
         tdSql.checkData(2, 0, 181.36703118262702)
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(3, 0, nan)
 
         tdSql.query("select sqrt(c2) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, 11.269427669584644)
         tdSql.checkData(2, 0, 2.0)
         tdSql.checkData(3, 0, None)
@@ -4442,7 +4442,7 @@ class TDTestCase:
 
         tdSql.query("select sqrt(c2+c3) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, 181.36703118262702)
         tdSql.checkData(2, 0, 2.8284271247461903)
         tdSql.checkData(3, 0, None)
@@ -4464,7 +4464,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 2.0)
         tdSql.checkData(5, 0, 11.269427669584644)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 1.0)
         tdSql.checkData(8, 0, 1.4142135623730951)
         tdSql.checkData(9, 0, 1.7320508075688772)
@@ -4491,7 +4491,7 @@ class TDTestCase:
         tdSql.checkData(4, 1, "tb1")
         tdSql.checkData(5, 0, 181.01657382681842)
         tdSql.checkData(5, 1, "tb1")
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(6, 1, "tb1")
         tdSql.checkData(7, 0, 1.0)
         tdSql.checkData(7, 1, "tb2")
@@ -4533,7 +4533,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, 2.0)
         tdSql.checkData(4, 0, 2.1213203435596424)
         tdSql.checkData(5, 0, 8.154753215150045)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select sqrt(c2) from (select * from stb1);")
         tdSql.checkRows(14)
@@ -4543,7 +4543,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 2.0)
         tdSql.checkData(5, 0, 11.269427669584644)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 1.0)
         tdSql.checkData(8, 0, 1.4142135623730951)
         tdSql.checkData(9, 0, 1.7320508075688772)
@@ -4562,7 +4562,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, 2.0)
         tdSql.checkData(4, 0, 2.1213203435596424)
         tdSql.checkData(5, 0, 8.154753215150045)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
@@ -4577,7 +4577,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, 2.0)
         tdSql.checkData(4, 0, 2.1213203435596424)
         tdSql.checkData(5, 0, 8.154753215150045)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
@@ -4589,7 +4589,7 @@ class TDTestCase:
         tdSql.checkData(0, 0, None)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(3, 0, nan)
         tdSql.checkData(4, 0, 8.154753215150045)
         tdSql.checkData(5, 0, 2.1213203435596424)
         tdSql.checkData(6, 0, 2.0)
@@ -4610,13 +4610,13 @@ class TDTestCase:
         tdSql.checkData(6, 0, 1.5811388300841898)
         tdSql.checkData(7, 0, 1.4142135623730951)
         tdSql.checkData(8, 0, 1.0)
-        tdSql.checkData(9, 0, None)
+        tdSql.checkData(9, 0, nan)
 
         tdSql.query(
             "select sqrt(a) from (select avg(c2) as a from stb1 where ts >= '2021-11-11 09:00:00.000' and ts <= '2021-11-11 09:00:09.000' interval(1s) fill(null)) order by a;"
         )
         tdSql.checkRows(10)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, 1.0)
         tdSql.checkData(2, 0, 1.4142135623730951)
         tdSql.checkData(3, 0, 1.5811388300841898)
@@ -4635,7 +4635,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.4142135623730951)
         tdSql.checkData(5, 0, 3.3569968229929326)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query(
             "select sqrt(tb1.c3),sqrt(tb2.c3) from tb1,tb2 where tb1.ts=tb2.ts;"
@@ -4653,7 +4653,7 @@ class TDTestCase:
         tdSql.checkData(4, 1, 2.23606797749979)
         tdSql.checkData(5, 0, 181.01657382681842)
         tdSql.checkData(5, 1, 2.449489742783178)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(6, 1, 2.6457513110645907)
 
         tdSql.query("select sqrt(c3) from tb1 union all select sqrt(c3) from tb2;")
@@ -4664,7 +4664,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, 1.7320508075688772)
         tdSql.checkData(4, 0, 2.0)
         tdSql.checkData(5, 0, 181.01657382681842)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 1.0)
         tdSql.checkData(8, 0, 1.4142135623730951)
         tdSql.checkData(9, 0, 1.7320508075688772)
@@ -4692,7 +4692,7 @@ class TDTestCase:
         tdSql.checkData(4, 1, 2.23606797749979)
         tdSql.checkData(5, 0, 46340.950001051984)
         tdSql.checkData(5, 1, 2.449489742783178)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(6, 1, 2.6457513110645907)
 
         tdSql.query(
@@ -4705,7 +4705,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 2.0)
         tdSql.checkData(5, 0, 46340.950001051984)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 1.0)
         tdSql.checkData(8, 0, 1.4142135623730951)
         tdSql.checkData(9, 0, 1.4142135623730951)
@@ -5749,82 +5749,82 @@ class TDTestCase:
         # ===========  begin math_asin  ==========
         tdSql.query("select asin(13) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin(c2) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin(c3) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin(c4) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin(c5) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin(c6) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin(c7) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin(c10) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(6, 0, 0.0)
 
         tdSql.query("select asin(c11) from tb1;")
@@ -5832,19 +5832,19 @@ class TDTestCase:
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(6, 0, 0.0)
 
         tdSql.query("select asin(c12) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(6, 0, 0.0)
 
         tdSql.query("select asin(c13) from tb1;")
@@ -5852,103 +5852,103 @@ class TDTestCase:
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(6, 0, 0.0)
 
         tdSql.query("select asin(a) from (select asin(c2) as a from tb1);")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin(c2 + c3) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin((c2 + c3)) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin((c2 * c3)+c4-6) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin(11)+c2 from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin(c2)+11 from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 12.570796326794897)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query(
             "select asin(c2+c3) from tb1 where c2 is not null and c3 is not null;"
         )
         tdSql.checkRows(4)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
 
         tdSql.query("select asin(c2) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
+        tdSql.checkData(4, 0, nan)
         tdSql.checkData(5, 0, None)
         tdSql.checkData(6, 0, 1.5707963267948966)
 
         tdSql.query("select asin(c2+c3) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, None)
         tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin(c2+c3) from tb1 order by ts desc limit 3 offset 2;")
         tdSql.checkRows(3)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
 
@@ -5956,18 +5956,18 @@ class TDTestCase:
         tdSql.checkRows(14)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 1.5707963267948966)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
 
         tdSql.query("select asin(c2) from stb1 order by ts desc;")
         tdSql.checkRows(14)
@@ -5981,84 +5981,84 @@ class TDTestCase:
         tdSql.checkData(1, 1, "tb1")
         tdSql.checkData(2, 0, None)
         tdSql.checkData(2, 1, "tb1")
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(3, 0, nan)
         tdSql.checkData(3, 1, "tb1")
-        tdSql.checkData(4, 0, None)
+        tdSql.checkData(4, 0, nan)
         tdSql.checkData(4, 1, "tb1")
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(5, 1, "tb1")
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(6, 1, "tb1")
         tdSql.checkData(7, 0, 1.5707963267948966)
         tdSql.checkData(7, 1, "tb2")
-        tdSql.checkData(8, 0, None)
+        tdSql.checkData(8, 0, nan)
         tdSql.checkData(8, 1, "tb2")
-        tdSql.checkData(9, 0, None)
+        tdSql.checkData(9, 0, nan)
         tdSql.checkData(9, 1, "tb2")
-        tdSql.checkData(10, 0, None)
+        tdSql.checkData(10, 0, nan)
         tdSql.checkData(10, 1, "tb2")
-        tdSql.checkData(11, 0, None)
+        tdSql.checkData(11, 0, nan)
         tdSql.checkData(11, 1, "tb2")
-        tdSql.checkData(12, 0, None)
+        tdSql.checkData(12, 0, nan)
         tdSql.checkData(12, 1, "tb2")
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(13, 0, nan)
         tdSql.checkData(13, 1, "tb2")
 
         tdSql.query("select asin(c3),tbname from stb1 where t1 > 1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(0, 1, "tb2")
-        tdSql.checkData(1, 0, None)
+        tdSql.checkData(1, 0, nan)
         tdSql.checkData(1, 1, "tb2")
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(2, 1, "tb2")
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(3, 0, nan)
         tdSql.checkData(3, 1, "tb2")
-        tdSql.checkData(4, 0, None)
+        tdSql.checkData(4, 0, nan)
         tdSql.checkData(4, 1, "tb2")
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(5, 1, "tb2")
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(6, 1, "tb2")
 
         tdSql.query("select asin(a) from (select avg(c2) as a from stb1 interval(1s));")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select asin(c2) from (select * from stb1);")
         tdSql.checkRows(14)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 1.5707963267948966)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
 
         tdSql.query(
             "select asin(a) from (select avg(c2) as a from stb1 where ts >= '2021-11-11 09:00:00.000' and ts <= '2021-11-11 09:00:09.000' interval(1s) fill(null));"
         )
         tdSql.checkRows(10)
         tdSql.checkData(0, 0, 1.5707963267948966)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
@@ -6068,12 +6068,12 @@ class TDTestCase:
         )
         tdSql.checkRows(10)
         tdSql.checkData(0, 0, 1.5707963267948966)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
@@ -6085,12 +6085,12 @@ class TDTestCase:
         tdSql.checkData(0, 0, None)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
-        tdSql.checkData(8, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
+        tdSql.checkData(8, 0, nan)
         tdSql.checkData(9, 0, 1.5707963267948966)
 
         tdSql.query(
@@ -6100,38 +6100,38 @@ class TDTestCase:
         tdSql.checkData(0, 0, None)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
         tdSql.checkData(8, 0, 1.5707963267948966)
-        tdSql.checkData(9, 0, None)
+        tdSql.checkData(9, 0, nan)
 
         tdSql.query(
             "select asin(a) from (select avg(c2) as a from stb1 where ts >= '2021-11-11 09:00:00.000' and ts <= '2021-11-11 09:00:09.000' interval(1s) fill(null)) order by a;"
         )
         tdSql.checkRows(10)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, 1.5707963267948966)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
 
         tdSql.query("select asin(a) from (select asin(c2) as a from tb1);")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query(
             "select asin(tb1.c3),asin(tb2.c3) from tb1,tb2 where tb1.ts=tb2.ts;"
@@ -6140,34 +6140,34 @@ class TDTestCase:
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(0, 1, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(1, 1, None)
+        tdSql.checkData(1, 1, nan)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(2, 1, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(3, 1, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(4, 1, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(5, 1, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(6, 1, None)
+        tdSql.checkData(2, 1, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(3, 1, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(4, 1, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(5, 1, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(6, 1, nan)
 
         tdSql.query("select asin(c3) from tb1 union all select asin(c3) from tb2;")
         tdSql.checkRows(14)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 1.5707963267948966)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
 
         # ===========  end   math_asin  ==========
 
@@ -6179,17 +6179,17 @@ class TDTestCase:
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(0, 1, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(1, 1, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(2, 1, None)
+        tdSql.checkData(1, 1, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(2, 1, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(3, 1, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(4, 1, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(5, 1, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(6, 1, None)
+        tdSql.checkData(3, 1, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(4, 1, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(5, 1, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(6, 1, nan)
 
         tdSql.query(
             "select asin(c4) as a from stb1 union all select asin(c5) as a from stba;"
@@ -6197,80 +6197,80 @@ class TDTestCase:
         tdSql.checkRows(44)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 1.5707963267948966)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
         tdSql.checkData(14, 0, 1.5707963267948966)
-        tdSql.checkData(15, 0, None)
-        tdSql.checkData(16, 0, None)
-        tdSql.checkData(17, 0, None)
-        tdSql.checkData(18, 0, None)
-        tdSql.checkData(19, 0, None)
-        tdSql.checkData(20, 0, None)
-        tdSql.checkData(21, 0, None)
-        tdSql.checkData(22, 0, None)
+        tdSql.checkData(15, 0, nan)
+        tdSql.checkData(16, 0, nan)
+        tdSql.checkData(17, 0, nan)
+        tdSql.checkData(18, 0, nan)
+        tdSql.checkData(19, 0, nan)
+        tdSql.checkData(20, 0, nan)
+        tdSql.checkData(21, 0, nan)
+        tdSql.checkData(22, 0, nan)
         tdSql.checkData(23, 0, 0.0)
         tdSql.checkData(24, 0, 1.5707963267948966)
-        tdSql.checkData(25, 0, None)
-        tdSql.checkData(26, 0, None)
-        tdSql.checkData(27, 0, None)
-        tdSql.checkData(28, 0, None)
-        tdSql.checkData(29, 0, None)
-        tdSql.checkData(30, 0, None)
-        tdSql.checkData(31, 0, None)
-        tdSql.checkData(32, 0, None)
+        tdSql.checkData(25, 0, nan)
+        tdSql.checkData(26, 0, nan)
+        tdSql.checkData(27, 0, nan)
+        tdSql.checkData(28, 0, nan)
+        tdSql.checkData(29, 0, nan)
+        tdSql.checkData(30, 0, nan)
+        tdSql.checkData(31, 0, nan)
+        tdSql.checkData(32, 0, nan)
         tdSql.checkData(33, 0, 0.0)
         tdSql.checkData(34, 0, 1.5707963267948966)
-        tdSql.checkData(35, 0, None)
-        tdSql.checkData(36, 0, None)
-        tdSql.checkData(37, 0, None)
-        tdSql.checkData(38, 0, None)
-        tdSql.checkData(39, 0, None)
-        tdSql.checkData(40, 0, None)
-        tdSql.checkData(41, 0, None)
-        tdSql.checkData(42, 0, None)
+        tdSql.checkData(35, 0, nan)
+        tdSql.checkData(36, 0, nan)
+        tdSql.checkData(37, 0, nan)
+        tdSql.checkData(38, 0, nan)
+        tdSql.checkData(39, 0, nan)
+        tdSql.checkData(40, 0, nan)
+        tdSql.checkData(41, 0, nan)
+        tdSql.checkData(42, 0, nan)
         tdSql.checkData(43, 0, 0.0)
 
         tdSql.query("select asin(c2) from stba;")
         tdSql.checkRows(30)
         tdSql.checkData(0, 0, 1.5707963267948966)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
-        tdSql.checkData(8, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
+        tdSql.checkData(8, 0, nan)
         tdSql.checkData(9, 0, 0.0)
         tdSql.checkData(10, 0, 1.5707963267948966)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
-        tdSql.checkData(14, 0, None)
-        tdSql.checkData(15, 0, None)
-        tdSql.checkData(16, 0, None)
-        tdSql.checkData(17, 0, None)
-        tdSql.checkData(18, 0, None)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
+        tdSql.checkData(14, 0, nan)
+        tdSql.checkData(15, 0, nan)
+        tdSql.checkData(16, 0, nan)
+        tdSql.checkData(17, 0, nan)
+        tdSql.checkData(18, 0, nan)
         tdSql.checkData(19, 0, 0.0)
         tdSql.checkData(20, 0, 1.5707963267948966)
-        tdSql.checkData(21, 0, None)
-        tdSql.checkData(22, 0, None)
-        tdSql.checkData(23, 0, None)
-        tdSql.checkData(24, 0, None)
-        tdSql.checkData(25, 0, None)
-        tdSql.checkData(26, 0, None)
-        tdSql.checkData(27, 0, None)
-        tdSql.checkData(28, 0, None)
+        tdSql.checkData(21, 0, nan)
+        tdSql.checkData(22, 0, nan)
+        tdSql.checkData(23, 0, nan)
+        tdSql.checkData(24, 0, nan)
+        tdSql.checkData(25, 0, nan)
+        tdSql.checkData(26, 0, nan)
+        tdSql.checkData(27, 0, nan)
+        tdSql.checkData(28, 0, nan)
         tdSql.checkData(29, 0, 0.0)
 
         tdSql.query("select asin(min(c2)) from tba1;")
@@ -6279,19 +6279,19 @@ class TDTestCase:
 
         tdSql.query("select asin(max(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select asin(count(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select asin(sum(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select asin(avg(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select asin(percentile(c2, 10)) from tba1;")
         tdSql.checkRows(1)
@@ -6303,76 +6303,76 @@ class TDTestCase:
 
         tdSql.query("select asin(stddev(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select asin(spread(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select asin(twa(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select asin(interp(c2)) from tba1 every(1s)")
         tdSql.checkRows(30)
         tdSql.checkData(0, 0, datetime.datetime(2021, 11, 11, 9, 0))
         tdSql.checkData(0, 1, 1.5707963267948966)
         tdSql.checkData(1, 0, datetime.datetime(2021, 11, 11, 9, 0, 1))
-        tdSql.checkData(1, 1, None)
+        tdSql.checkData(1, 1, nan)
         tdSql.checkData(2, 0, datetime.datetime(2021, 11, 11, 9, 0, 2))
-        tdSql.checkData(2, 1, None)
+        tdSql.checkData(2, 1, nan)
         tdSql.checkData(3, 0, datetime.datetime(2021, 11, 11, 9, 0, 3))
-        tdSql.checkData(3, 1, None)
+        tdSql.checkData(3, 1, nan)
         tdSql.checkData(4, 0, datetime.datetime(2021, 11, 11, 9, 0, 4))
-        tdSql.checkData(4, 1, None)
+        tdSql.checkData(4, 1, nan)
         tdSql.checkData(5, 0, datetime.datetime(2021, 11, 11, 9, 0, 5))
-        tdSql.checkData(5, 1, None)
+        tdSql.checkData(5, 1, nan)
         tdSql.checkData(6, 0, datetime.datetime(2021, 11, 11, 9, 0, 6))
-        tdSql.checkData(6, 1, None)
+        tdSql.checkData(6, 1, nan)
         tdSql.checkData(7, 0, datetime.datetime(2021, 11, 11, 9, 0, 7))
-        tdSql.checkData(7, 1, None)
+        tdSql.checkData(7, 1, nan)
         tdSql.checkData(8, 0, datetime.datetime(2021, 11, 11, 9, 0, 8))
-        tdSql.checkData(8, 1, None)
+        tdSql.checkData(8, 1, nan)
         tdSql.checkData(9, 0, datetime.datetime(2021, 11, 11, 9, 0, 9))
         tdSql.checkData(9, 1, 0.0)
         tdSql.checkData(10, 0, datetime.datetime(2021, 11, 11, 9, 0, 10))
         tdSql.checkData(10, 1, 1.5707963267948966)
         tdSql.checkData(11, 0, datetime.datetime(2021, 11, 11, 9, 0, 11))
-        tdSql.checkData(11, 1, None)
+        tdSql.checkData(11, 1, nan)
         tdSql.checkData(12, 0, datetime.datetime(2021, 11, 11, 9, 0, 12))
-        tdSql.checkData(12, 1, None)
+        tdSql.checkData(12, 1, nan)
         tdSql.checkData(13, 0, datetime.datetime(2021, 11, 11, 9, 0, 13))
-        tdSql.checkData(13, 1, None)
+        tdSql.checkData(13, 1, nan)
         tdSql.checkData(14, 0, datetime.datetime(2021, 11, 11, 9, 0, 14))
-        tdSql.checkData(14, 1, None)
+        tdSql.checkData(14, 1, nan)
         tdSql.checkData(15, 0, datetime.datetime(2021, 11, 11, 9, 0, 15))
-        tdSql.checkData(15, 1, None)
+        tdSql.checkData(15, 1, nan)
         tdSql.checkData(16, 0, datetime.datetime(2021, 11, 11, 9, 0, 16))
-        tdSql.checkData(16, 1, None)
+        tdSql.checkData(16, 1, nan)
         tdSql.checkData(17, 0, datetime.datetime(2021, 11, 11, 9, 0, 17))
-        tdSql.checkData(17, 1, None)
+        tdSql.checkData(17, 1, nan)
         tdSql.checkData(18, 0, datetime.datetime(2021, 11, 11, 9, 0, 18))
-        tdSql.checkData(18, 1, None)
+        tdSql.checkData(18, 1, nan)
         tdSql.checkData(19, 0, datetime.datetime(2021, 11, 11, 9, 0, 19))
         tdSql.checkData(19, 1, 0.0)
         tdSql.checkData(20, 0, datetime.datetime(2021, 11, 11, 9, 0, 20))
         tdSql.checkData(20, 1, 1.5707963267948966)
         tdSql.checkData(21, 0, datetime.datetime(2021, 11, 11, 9, 0, 21))
-        tdSql.checkData(21, 1, None)
+        tdSql.checkData(21, 1, nan)
         tdSql.checkData(22, 0, datetime.datetime(2021, 11, 11, 9, 0, 22))
-        tdSql.checkData(22, 1, None)
+        tdSql.checkData(22, 1, nan)
         tdSql.checkData(23, 0, datetime.datetime(2021, 11, 11, 9, 0, 23))
-        tdSql.checkData(23, 1, None)
+        tdSql.checkData(23, 1, nan)
         tdSql.checkData(24, 0, datetime.datetime(2021, 11, 11, 9, 0, 24))
-        tdSql.checkData(24, 1, None)
+        tdSql.checkData(24, 1, nan)
         tdSql.checkData(25, 0, datetime.datetime(2021, 11, 11, 9, 0, 25))
-        tdSql.checkData(25, 1, None)
+        tdSql.checkData(25, 1, nan)
         tdSql.checkData(26, 0, datetime.datetime(2021, 11, 11, 9, 0, 26))
-        tdSql.checkData(26, 1, None)
+        tdSql.checkData(26, 1, nan)
         tdSql.checkData(27, 0, datetime.datetime(2021, 11, 11, 9, 0, 27))
-        tdSql.checkData(27, 1, None)
+        tdSql.checkData(27, 1, nan)
         tdSql.checkData(28, 0, datetime.datetime(2021, 11, 11, 9, 0, 28))
-        tdSql.checkData(28, 1, None)
+        tdSql.checkData(28, 1, nan)
         tdSql.checkData(29, 0, datetime.datetime(2021, 11, 11, 9, 0, 29))
         tdSql.checkData(29, 1, 0.0)
 
@@ -6382,28 +6382,28 @@ class TDTestCase:
         tdSql.checkData(0, 1, 1.5707963267948966)
         tdSql.checkData(0, 2, "tba1")
         tdSql.checkData(1, 0, datetime.datetime(2021, 11, 11, 9, 0, 1))
-        tdSql.checkData(1, 1, None)
+        tdSql.checkData(1, 1, nan)
         tdSql.checkData(1, 2, "tba1")
         tdSql.checkData(2, 0, datetime.datetime(2021, 11, 11, 9, 0, 2))
-        tdSql.checkData(2, 1, None)
+        tdSql.checkData(2, 1, nan)
         tdSql.checkData(2, 2, "tba1")
         tdSql.checkData(3, 0, datetime.datetime(2021, 11, 11, 9, 0, 3))
-        tdSql.checkData(3, 1, None)
+        tdSql.checkData(3, 1, nan)
         tdSql.checkData(3, 2, "tba1")
         tdSql.checkData(4, 0, datetime.datetime(2021, 11, 11, 9, 0, 4))
-        tdSql.checkData(4, 1, None)
+        tdSql.checkData(4, 1, nan)
         tdSql.checkData(4, 2, "tba1")
         tdSql.checkData(5, 0, datetime.datetime(2021, 11, 11, 9, 0, 5))
-        tdSql.checkData(5, 1, None)
+        tdSql.checkData(5, 1, nan)
         tdSql.checkData(5, 2, "tba1")
         tdSql.checkData(6, 0, datetime.datetime(2021, 11, 11, 9, 0, 6))
-        tdSql.checkData(6, 1, None)
+        tdSql.checkData(6, 1, nan)
         tdSql.checkData(6, 2, "tba1")
         tdSql.checkData(7, 0, datetime.datetime(2021, 11, 11, 9, 0, 7))
-        tdSql.checkData(7, 1, None)
+        tdSql.checkData(7, 1, nan)
         tdSql.checkData(7, 2, "tba1")
         tdSql.checkData(8, 0, datetime.datetime(2021, 11, 11, 9, 0, 8))
-        tdSql.checkData(8, 1, None)
+        tdSql.checkData(8, 1, nan)
         tdSql.checkData(8, 2, "tba1")
         tdSql.checkData(9, 0, datetime.datetime(2021, 11, 11, 9, 0, 9))
         tdSql.checkData(9, 1, 0.0)
@@ -6412,28 +6412,28 @@ class TDTestCase:
         tdSql.checkData(10, 1, 1.5707963267948966)
         tdSql.checkData(10, 2, "tba1")
         tdSql.checkData(11, 0, datetime.datetime(2021, 11, 11, 9, 0, 11))
-        tdSql.checkData(11, 1, None)
+        tdSql.checkData(11, 1, nan)
         tdSql.checkData(11, 2, "tba1")
         tdSql.checkData(12, 0, datetime.datetime(2021, 11, 11, 9, 0, 12))
-        tdSql.checkData(12, 1, None)
+        tdSql.checkData(12, 1, nan)
         tdSql.checkData(12, 2, "tba1")
         tdSql.checkData(13, 0, datetime.datetime(2021, 11, 11, 9, 0, 13))
-        tdSql.checkData(13, 1, None)
+        tdSql.checkData(13, 1, nan)
         tdSql.checkData(13, 2, "tba1")
         tdSql.checkData(14, 0, datetime.datetime(2021, 11, 11, 9, 0, 14))
-        tdSql.checkData(14, 1, None)
+        tdSql.checkData(14, 1, nan)
         tdSql.checkData(14, 2, "tba1")
         tdSql.checkData(15, 0, datetime.datetime(2021, 11, 11, 9, 0, 15))
-        tdSql.checkData(15, 1, None)
+        tdSql.checkData(15, 1, nan)
         tdSql.checkData(15, 2, "tba1")
         tdSql.checkData(16, 0, datetime.datetime(2021, 11, 11, 9, 0, 16))
-        tdSql.checkData(16, 1, None)
+        tdSql.checkData(16, 1, nan)
         tdSql.checkData(16, 2, "tba1")
         tdSql.checkData(17, 0, datetime.datetime(2021, 11, 11, 9, 0, 17))
-        tdSql.checkData(17, 1, None)
+        tdSql.checkData(17, 1, nan)
         tdSql.checkData(17, 2, "tba1")
         tdSql.checkData(18, 0, datetime.datetime(2021, 11, 11, 9, 0, 18))
-        tdSql.checkData(18, 1, None)
+        tdSql.checkData(18, 1, nan)
         tdSql.checkData(18, 2, "tba1")
         tdSql.checkData(19, 0, datetime.datetime(2021, 11, 11, 9, 0, 19))
         tdSql.checkData(19, 1, 0.0)
@@ -6442,28 +6442,28 @@ class TDTestCase:
         tdSql.checkData(20, 1, 1.5707963267948966)
         tdSql.checkData(20, 2, "tba1")
         tdSql.checkData(21, 0, datetime.datetime(2021, 11, 11, 9, 0, 21))
-        tdSql.checkData(21, 1, None)
+        tdSql.checkData(21, 1, nan)
         tdSql.checkData(21, 2, "tba1")
         tdSql.checkData(22, 0, datetime.datetime(2021, 11, 11, 9, 0, 22))
-        tdSql.checkData(22, 1, None)
+        tdSql.checkData(22, 1, nan)
         tdSql.checkData(22, 2, "tba1")
         tdSql.checkData(23, 0, datetime.datetime(2021, 11, 11, 9, 0, 23))
-        tdSql.checkData(23, 1, None)
+        tdSql.checkData(23, 1, nan)
         tdSql.checkData(23, 2, "tba1")
         tdSql.checkData(24, 0, datetime.datetime(2021, 11, 11, 9, 0, 24))
-        tdSql.checkData(24, 1, None)
+        tdSql.checkData(24, 1, nan)
         tdSql.checkData(24, 2, "tba1")
         tdSql.checkData(25, 0, datetime.datetime(2021, 11, 11, 9, 0, 25))
-        tdSql.checkData(25, 1, None)
+        tdSql.checkData(25, 1, nan)
         tdSql.checkData(25, 2, "tba1")
         tdSql.checkData(26, 0, datetime.datetime(2021, 11, 11, 9, 0, 26))
-        tdSql.checkData(26, 1, None)
+        tdSql.checkData(26, 1, nan)
         tdSql.checkData(26, 2, "tba1")
         tdSql.checkData(27, 0, datetime.datetime(2021, 11, 11, 9, 0, 27))
-        tdSql.checkData(27, 1, None)
+        tdSql.checkData(27, 1, nan)
         tdSql.checkData(27, 2, "tba1")
         tdSql.checkData(28, 0, datetime.datetime(2021, 11, 11, 9, 0, 28))
-        tdSql.checkData(28, 1, None)
+        tdSql.checkData(28, 1, nan)
         tdSql.checkData(28, 2, "tba1")
         tdSql.checkData(29, 0, datetime.datetime(2021, 11, 11, 9, 0, 29))
         tdSql.checkData(29, 1, 0.0)
@@ -6471,7 +6471,7 @@ class TDTestCase:
 
         tdSql.query("select asin(elapsed(ts)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select asin(rate(c2)) from tba1;")
         tdSql.checkRows(1)
@@ -6498,82 +6498,82 @@ class TDTestCase:
         # ===========  begin math_acos  ==========
         tdSql.query("select acos(13) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c2) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c3) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c4) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c5) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c6) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c7) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c10) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(6, 0, 1.5707963267948966)
 
         tdSql.query("select acos(c11) from tb1;")
@@ -6581,19 +6581,19 @@ class TDTestCase:
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(6, 0, 1.5707963267948966)
 
         tdSql.query("select acos(c12) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(6, 0, 1.5707963267948966)
 
         tdSql.query("select acos(c13) from tb1;")
@@ -6601,103 +6601,103 @@ class TDTestCase:
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(6, 0, 1.5707963267948966)
 
         tdSql.query("select acos(a) from (select acos(c2) as a from tb1);")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c2 + c3) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos((c2 + c3)) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos((c2 * c3)+c4-6) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(11)+c2 from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c2)+11 from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 11.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query(
             "select acos(c2+c3) from tb1 where c2 is not null and c3 is not null;"
         )
         tdSql.checkRows(4)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
 
         tdSql.query("select acos(c2) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
+        tdSql.checkData(4, 0, nan)
         tdSql.checkData(5, 0, None)
         tdSql.checkData(6, 0, 0.0)
 
         tdSql.query("select acos(c2+c3) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, None)
         tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c2+c3) from tb1 order by ts desc limit 3 offset 2;")
         tdSql.checkRows(3)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
 
@@ -6705,18 +6705,18 @@ class TDTestCase:
         tdSql.checkRows(14)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 0.0)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
 
         tdSql.query("select acos(c2) from stb1 order by ts desc;")
         tdSql.checkRows(14)
@@ -6730,84 +6730,84 @@ class TDTestCase:
         tdSql.checkData(1, 1, "tb1")
         tdSql.checkData(2, 0, None)
         tdSql.checkData(2, 1, "tb1")
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(3, 0, nan)
         tdSql.checkData(3, 1, "tb1")
-        tdSql.checkData(4, 0, None)
+        tdSql.checkData(4, 0, nan)
         tdSql.checkData(4, 1, "tb1")
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(5, 1, "tb1")
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(6, 1, "tb1")
         tdSql.checkData(7, 0, 0.0)
         tdSql.checkData(7, 1, "tb2")
-        tdSql.checkData(8, 0, None)
+        tdSql.checkData(8, 0, nan)
         tdSql.checkData(8, 1, "tb2")
-        tdSql.checkData(9, 0, None)
+        tdSql.checkData(9, 0, nan)
         tdSql.checkData(9, 1, "tb2")
-        tdSql.checkData(10, 0, None)
+        tdSql.checkData(10, 0, nan)
         tdSql.checkData(10, 1, "tb2")
-        tdSql.checkData(11, 0, None)
+        tdSql.checkData(11, 0, nan)
         tdSql.checkData(11, 1, "tb2")
-        tdSql.checkData(12, 0, None)
+        tdSql.checkData(12, 0, nan)
         tdSql.checkData(12, 1, "tb2")
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(13, 0, nan)
         tdSql.checkData(13, 1, "tb2")
 
         tdSql.query("select acos(c3),tbname from stb1 where t1 > 1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(0, 1, "tb2")
-        tdSql.checkData(1, 0, None)
+        tdSql.checkData(1, 0, nan)
         tdSql.checkData(1, 1, "tb2")
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(2, 1, "tb2")
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(3, 0, nan)
         tdSql.checkData(3, 1, "tb2")
-        tdSql.checkData(4, 0, None)
+        tdSql.checkData(4, 0, nan)
         tdSql.checkData(4, 1, "tb2")
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(5, 1, "tb2")
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(6, 1, "tb2")
 
         tdSql.query("select acos(a) from (select avg(c2) as a from stb1 interval(1s));")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c2) from (select * from stb1);")
         tdSql.checkRows(14)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 0.0)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
 
         tdSql.query(
             "select acos(a) from (select avg(c2) as a from stb1 where ts >= '2021-11-11 09:00:00.000' and ts <= '2021-11-11 09:00:09.000' interval(1s) fill(null));"
         )
         tdSql.checkRows(10)
         tdSql.checkData(0, 0, 0.0)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
@@ -6817,12 +6817,12 @@ class TDTestCase:
         )
         tdSql.checkRows(10)
         tdSql.checkData(0, 0, 0.0)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
@@ -6834,12 +6834,12 @@ class TDTestCase:
         tdSql.checkData(0, 0, None)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
-        tdSql.checkData(8, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
+        tdSql.checkData(8, 0, nan)
         tdSql.checkData(9, 0, 0.0)
 
         tdSql.query(
@@ -6849,25 +6849,25 @@ class TDTestCase:
         tdSql.checkData(0, 0, None)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
         tdSql.checkData(8, 0, 0.0)
-        tdSql.checkData(9, 0, None)
+        tdSql.checkData(9, 0, nan)
 
         tdSql.query(
             "select acos(a) from (select avg(c2) as a from stb1 where ts >= '2021-11-11 09:00:00.000' and ts <= '2021-11-11 09:00:09.000' interval(1s) fill(null)) order by a;"
         )
         tdSql.checkRows(10)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, 0.0)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
@@ -6876,11 +6876,11 @@ class TDTestCase:
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query(
             "select acos(tb1.c3),acos(tb2.c3) from tb1,tb2 where tb1.ts=tb2.ts;"
@@ -6889,34 +6889,34 @@ class TDTestCase:
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(0, 1, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(1, 1, None)
+        tdSql.checkData(1, 1, nan)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(2, 1, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(3, 1, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(4, 1, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(5, 1, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(6, 1, None)
+        tdSql.checkData(2, 1, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(3, 1, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(4, 1, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(5, 1, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(6, 1, nan)
 
         tdSql.query("select acos(c3) from tb1 union all select acos(c3) from tb2;")
         tdSql.checkRows(14)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 0.0)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
 
         # ===========  end   math_acos  ==========
 
@@ -6928,17 +6928,17 @@ class TDTestCase:
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(0, 1, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(1, 1, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(2, 1, None)
+        tdSql.checkData(1, 1, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(2, 1, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(3, 1, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(4, 1, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(5, 1, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(6, 1, None)
+        tdSql.checkData(3, 1, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(4, 1, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(5, 1, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(6, 1, nan)
 
         tdSql.query(
             "select acos(c4) as a from stb1 union all select acos(c5) as a from stba;"
@@ -6946,80 +6946,80 @@ class TDTestCase:
         tdSql.checkRows(44)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 0.0)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
         tdSql.checkData(14, 0, 0.0)
-        tdSql.checkData(15, 0, None)
-        tdSql.checkData(16, 0, None)
-        tdSql.checkData(17, 0, None)
-        tdSql.checkData(18, 0, None)
-        tdSql.checkData(19, 0, None)
-        tdSql.checkData(20, 0, None)
-        tdSql.checkData(21, 0, None)
-        tdSql.checkData(22, 0, None)
+        tdSql.checkData(15, 0, nan)
+        tdSql.checkData(16, 0, nan)
+        tdSql.checkData(17, 0, nan)
+        tdSql.checkData(18, 0, nan)
+        tdSql.checkData(19, 0, nan)
+        tdSql.checkData(20, 0, nan)
+        tdSql.checkData(21, 0, nan)
+        tdSql.checkData(22, 0, nan)
         tdSql.checkData(23, 0, 1.5707963267948966)
         tdSql.checkData(24, 0, 0.0)
-        tdSql.checkData(25, 0, None)
-        tdSql.checkData(26, 0, None)
-        tdSql.checkData(27, 0, None)
-        tdSql.checkData(28, 0, None)
-        tdSql.checkData(29, 0, None)
-        tdSql.checkData(30, 0, None)
-        tdSql.checkData(31, 0, None)
-        tdSql.checkData(32, 0, None)
+        tdSql.checkData(25, 0, nan)
+        tdSql.checkData(26, 0, nan)
+        tdSql.checkData(27, 0, nan)
+        tdSql.checkData(28, 0, nan)
+        tdSql.checkData(29, 0, nan)
+        tdSql.checkData(30, 0, nan)
+        tdSql.checkData(31, 0, nan)
+        tdSql.checkData(32, 0, nan)
         tdSql.checkData(33, 0, 1.5707963267948966)
         tdSql.checkData(34, 0, 0.0)
-        tdSql.checkData(35, 0, None)
-        tdSql.checkData(36, 0, None)
-        tdSql.checkData(37, 0, None)
-        tdSql.checkData(38, 0, None)
-        tdSql.checkData(39, 0, None)
-        tdSql.checkData(40, 0, None)
-        tdSql.checkData(41, 0, None)
-        tdSql.checkData(42, 0, None)
+        tdSql.checkData(35, 0, nan)
+        tdSql.checkData(36, 0, nan)
+        tdSql.checkData(37, 0, nan)
+        tdSql.checkData(38, 0, nan)
+        tdSql.checkData(39, 0, nan)
+        tdSql.checkData(40, 0, nan)
+        tdSql.checkData(41, 0, nan)
+        tdSql.checkData(42, 0, nan)
         tdSql.checkData(43, 0, 1.5707963267948966)
 
         tdSql.query("select acos(c2) from stba;")
         tdSql.checkRows(30)
         tdSql.checkData(0, 0, 0.0)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
-        tdSql.checkData(8, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
+        tdSql.checkData(8, 0, nan)
         tdSql.checkData(9, 0, 1.5707963267948966)
         tdSql.checkData(10, 0, 0.0)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
-        tdSql.checkData(14, 0, None)
-        tdSql.checkData(15, 0, None)
-        tdSql.checkData(16, 0, None)
-        tdSql.checkData(17, 0, None)
-        tdSql.checkData(18, 0, None)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
+        tdSql.checkData(14, 0, nan)
+        tdSql.checkData(15, 0, nan)
+        tdSql.checkData(16, 0, nan)
+        tdSql.checkData(17, 0, nan)
+        tdSql.checkData(18, 0, nan)
         tdSql.checkData(19, 0, 1.5707963267948966)
         tdSql.checkData(20, 0, 0.0)
-        tdSql.checkData(21, 0, None)
-        tdSql.checkData(22, 0, None)
-        tdSql.checkData(23, 0, None)
-        tdSql.checkData(24, 0, None)
-        tdSql.checkData(25, 0, None)
-        tdSql.checkData(26, 0, None)
-        tdSql.checkData(27, 0, None)
-        tdSql.checkData(28, 0, None)
+        tdSql.checkData(21, 0, nan)
+        tdSql.checkData(22, 0, nan)
+        tdSql.checkData(23, 0, nan)
+        tdSql.checkData(24, 0, nan)
+        tdSql.checkData(25, 0, nan)
+        tdSql.checkData(26, 0, nan)
+        tdSql.checkData(27, 0, nan)
+        tdSql.checkData(28, 0, nan)
         tdSql.checkData(29, 0, 1.5707963267948966)
 
         tdSql.query("select acos(min(c2)) from tba1;")
@@ -7028,19 +7028,19 @@ class TDTestCase:
 
         tdSql.query("select acos(max(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(count(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(sum(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(avg(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(percentile(c2, 10)) from tba1;")
         tdSql.checkRows(1)
@@ -7052,76 +7052,76 @@ class TDTestCase:
 
         tdSql.query("select acos(stddev(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(spread(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(twa(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(interp(c2)) from tba1 every(1s)")
         tdSql.checkRows(30)
         tdSql.checkData(0, 0, datetime.datetime(2021, 11, 11, 9, 0))
         tdSql.checkData(0, 1, 0.0)
         tdSql.checkData(1, 0, datetime.datetime(2021, 11, 11, 9, 0, 1))
-        tdSql.checkData(1, 1, None)
+        tdSql.checkData(1, 1, nan)
         tdSql.checkData(2, 0, datetime.datetime(2021, 11, 11, 9, 0, 2))
-        tdSql.checkData(2, 1, None)
+        tdSql.checkData(2, 1, nan)
         tdSql.checkData(3, 0, datetime.datetime(2021, 11, 11, 9, 0, 3))
-        tdSql.checkData(3, 1, None)
+        tdSql.checkData(3, 1, nan)
         tdSql.checkData(4, 0, datetime.datetime(2021, 11, 11, 9, 0, 4))
-        tdSql.checkData(4, 1, None)
+        tdSql.checkData(4, 1, nan)
         tdSql.checkData(5, 0, datetime.datetime(2021, 11, 11, 9, 0, 5))
-        tdSql.checkData(5, 1, None)
+        tdSql.checkData(5, 1, nan)
         tdSql.checkData(6, 0, datetime.datetime(2021, 11, 11, 9, 0, 6))
-        tdSql.checkData(6, 1, None)
+        tdSql.checkData(6, 1, nan)
         tdSql.checkData(7, 0, datetime.datetime(2021, 11, 11, 9, 0, 7))
-        tdSql.checkData(7, 1, None)
+        tdSql.checkData(7, 1, nan)
         tdSql.checkData(8, 0, datetime.datetime(2021, 11, 11, 9, 0, 8))
-        tdSql.checkData(8, 1, None)
+        tdSql.checkData(8, 1, nan)
         tdSql.checkData(9, 0, datetime.datetime(2021, 11, 11, 9, 0, 9))
         tdSql.checkData(9, 1, 1.5707963267948966)
         tdSql.checkData(10, 0, datetime.datetime(2021, 11, 11, 9, 0, 10))
         tdSql.checkData(10, 1, 0.0)
         tdSql.checkData(11, 0, datetime.datetime(2021, 11, 11, 9, 0, 11))
-        tdSql.checkData(11, 1, None)
+        tdSql.checkData(11, 1, nan)
         tdSql.checkData(12, 0, datetime.datetime(2021, 11, 11, 9, 0, 12))
-        tdSql.checkData(12, 1, None)
+        tdSql.checkData(12, 1, nan)
         tdSql.checkData(13, 0, datetime.datetime(2021, 11, 11, 9, 0, 13))
-        tdSql.checkData(13, 1, None)
+        tdSql.checkData(13, 1, nan)
         tdSql.checkData(14, 0, datetime.datetime(2021, 11, 11, 9, 0, 14))
-        tdSql.checkData(14, 1, None)
+        tdSql.checkData(14, 1, nan)
         tdSql.checkData(15, 0, datetime.datetime(2021, 11, 11, 9, 0, 15))
-        tdSql.checkData(15, 1, None)
+        tdSql.checkData(15, 1, nan)
         tdSql.checkData(16, 0, datetime.datetime(2021, 11, 11, 9, 0, 16))
-        tdSql.checkData(16, 1, None)
+        tdSql.checkData(16, 1, nan)
         tdSql.checkData(17, 0, datetime.datetime(2021, 11, 11, 9, 0, 17))
-        tdSql.checkData(17, 1, None)
+        tdSql.checkData(17, 1, nan)
         tdSql.checkData(18, 0, datetime.datetime(2021, 11, 11, 9, 0, 18))
-        tdSql.checkData(18, 1, None)
+        tdSql.checkData(18, 1, nan)
         tdSql.checkData(19, 0, datetime.datetime(2021, 11, 11, 9, 0, 19))
         tdSql.checkData(19, 1, 1.5707963267948966)
         tdSql.checkData(20, 0, datetime.datetime(2021, 11, 11, 9, 0, 20))
         tdSql.checkData(20, 1, 0.0)
         tdSql.checkData(21, 0, datetime.datetime(2021, 11, 11, 9, 0, 21))
-        tdSql.checkData(21, 1, None)
+        tdSql.checkData(21, 1, nan)
         tdSql.checkData(22, 0, datetime.datetime(2021, 11, 11, 9, 0, 22))
-        tdSql.checkData(22, 1, None)
+        tdSql.checkData(22, 1, nan)
         tdSql.checkData(23, 0, datetime.datetime(2021, 11, 11, 9, 0, 23))
-        tdSql.checkData(23, 1, None)
+        tdSql.checkData(23, 1, nan)
         tdSql.checkData(24, 0, datetime.datetime(2021, 11, 11, 9, 0, 24))
-        tdSql.checkData(24, 1, None)
+        tdSql.checkData(24, 1, nan)
         tdSql.checkData(25, 0, datetime.datetime(2021, 11, 11, 9, 0, 25))
-        tdSql.checkData(25, 1, None)
+        tdSql.checkData(25, 1, nan)
         tdSql.checkData(26, 0, datetime.datetime(2021, 11, 11, 9, 0, 26))
-        tdSql.checkData(26, 1, None)
+        tdSql.checkData(26, 1, nan)
         tdSql.checkData(27, 0, datetime.datetime(2021, 11, 11, 9, 0, 27))
-        tdSql.checkData(27, 1, None)
+        tdSql.checkData(27, 1, nan)
         tdSql.checkData(28, 0, datetime.datetime(2021, 11, 11, 9, 0, 28))
-        tdSql.checkData(28, 1, None)
+        tdSql.checkData(28, 1, nan)
         tdSql.checkData(29, 0, datetime.datetime(2021, 11, 11, 9, 0, 29))
         tdSql.checkData(29, 1, 1.5707963267948966)
 
@@ -7131,28 +7131,28 @@ class TDTestCase:
         tdSql.checkData(0, 1, 0.0)
         tdSql.checkData(0, 2, "tba1")
         tdSql.checkData(1, 0, datetime.datetime(2021, 11, 11, 9, 0, 1))
-        tdSql.checkData(1, 1, None)
+        tdSql.checkData(1, 1, nan)
         tdSql.checkData(1, 2, "tba1")
         tdSql.checkData(2, 0, datetime.datetime(2021, 11, 11, 9, 0, 2))
-        tdSql.checkData(2, 1, None)
+        tdSql.checkData(2, 1, nan)
         tdSql.checkData(2, 2, "tba1")
         tdSql.checkData(3, 0, datetime.datetime(2021, 11, 11, 9, 0, 3))
-        tdSql.checkData(3, 1, None)
+        tdSql.checkData(3, 1, nan)
         tdSql.checkData(3, 2, "tba1")
         tdSql.checkData(4, 0, datetime.datetime(2021, 11, 11, 9, 0, 4))
-        tdSql.checkData(4, 1, None)
+        tdSql.checkData(4, 1, nan)
         tdSql.checkData(4, 2, "tba1")
         tdSql.checkData(5, 0, datetime.datetime(2021, 11, 11, 9, 0, 5))
-        tdSql.checkData(5, 1, None)
+        tdSql.checkData(5, 1, nan)
         tdSql.checkData(5, 2, "tba1")
         tdSql.checkData(6, 0, datetime.datetime(2021, 11, 11, 9, 0, 6))
-        tdSql.checkData(6, 1, None)
+        tdSql.checkData(6, 1, nan)
         tdSql.checkData(6, 2, "tba1")
         tdSql.checkData(7, 0, datetime.datetime(2021, 11, 11, 9, 0, 7))
-        tdSql.checkData(7, 1, None)
+        tdSql.checkData(7, 1, nan)
         tdSql.checkData(7, 2, "tba1")
         tdSql.checkData(8, 0, datetime.datetime(2021, 11, 11, 9, 0, 8))
-        tdSql.checkData(8, 1, None)
+        tdSql.checkData(8, 1, nan)
         tdSql.checkData(8, 2, "tba1")
         tdSql.checkData(9, 0, datetime.datetime(2021, 11, 11, 9, 0, 9))
         tdSql.checkData(9, 1, 1.5707963267948966)
@@ -7161,28 +7161,28 @@ class TDTestCase:
         tdSql.checkData(10, 1, 0.0)
         tdSql.checkData(10, 2, "tba1")
         tdSql.checkData(11, 0, datetime.datetime(2021, 11, 11, 9, 0, 11))
-        tdSql.checkData(11, 1, None)
+        tdSql.checkData(11, 1, nan)
         tdSql.checkData(11, 2, "tba1")
         tdSql.checkData(12, 0, datetime.datetime(2021, 11, 11, 9, 0, 12))
-        tdSql.checkData(12, 1, None)
+        tdSql.checkData(12, 1, nan)
         tdSql.checkData(12, 2, "tba1")
         tdSql.checkData(13, 0, datetime.datetime(2021, 11, 11, 9, 0, 13))
-        tdSql.checkData(13, 1, None)
+        tdSql.checkData(13, 1, nan)
         tdSql.checkData(13, 2, "tba1")
         tdSql.checkData(14, 0, datetime.datetime(2021, 11, 11, 9, 0, 14))
-        tdSql.checkData(14, 1, None)
+        tdSql.checkData(14, 1, nan)
         tdSql.checkData(14, 2, "tba1")
         tdSql.checkData(15, 0, datetime.datetime(2021, 11, 11, 9, 0, 15))
-        tdSql.checkData(15, 1, None)
+        tdSql.checkData(15, 1, nan)
         tdSql.checkData(15, 2, "tba1")
         tdSql.checkData(16, 0, datetime.datetime(2021, 11, 11, 9, 0, 16))
-        tdSql.checkData(16, 1, None)
+        tdSql.checkData(16, 1, nan)
         tdSql.checkData(16, 2, "tba1")
         tdSql.checkData(17, 0, datetime.datetime(2021, 11, 11, 9, 0, 17))
-        tdSql.checkData(17, 1, None)
+        tdSql.checkData(17, 1, nan)
         tdSql.checkData(17, 2, "tba1")
         tdSql.checkData(18, 0, datetime.datetime(2021, 11, 11, 9, 0, 18))
-        tdSql.checkData(18, 1, None)
+        tdSql.checkData(18, 1, nan)
         tdSql.checkData(18, 2, "tba1")
         tdSql.checkData(19, 0, datetime.datetime(2021, 11, 11, 9, 0, 19))
         tdSql.checkData(19, 1, 1.5707963267948966)
@@ -7191,28 +7191,28 @@ class TDTestCase:
         tdSql.checkData(20, 1, 0.0)
         tdSql.checkData(20, 2, "tba1")
         tdSql.checkData(21, 0, datetime.datetime(2021, 11, 11, 9, 0, 21))
-        tdSql.checkData(21, 1, None)
+        tdSql.checkData(21, 1, nan)
         tdSql.checkData(21, 2, "tba1")
         tdSql.checkData(22, 0, datetime.datetime(2021, 11, 11, 9, 0, 22))
-        tdSql.checkData(22, 1, None)
+        tdSql.checkData(22, 1, nan)
         tdSql.checkData(22, 2, "tba1")
         tdSql.checkData(23, 0, datetime.datetime(2021, 11, 11, 9, 0, 23))
-        tdSql.checkData(23, 1, None)
+        tdSql.checkData(23, 1, nan)
         tdSql.checkData(23, 2, "tba1")
         tdSql.checkData(24, 0, datetime.datetime(2021, 11, 11, 9, 0, 24))
-        tdSql.checkData(24, 1, None)
+        tdSql.checkData(24, 1, nan)
         tdSql.checkData(24, 2, "tba1")
         tdSql.checkData(25, 0, datetime.datetime(2021, 11, 11, 9, 0, 25))
-        tdSql.checkData(25, 1, None)
+        tdSql.checkData(25, 1, nan)
         tdSql.checkData(25, 2, "tba1")
         tdSql.checkData(26, 0, datetime.datetime(2021, 11, 11, 9, 0, 26))
-        tdSql.checkData(26, 1, None)
+        tdSql.checkData(26, 1, nan)
         tdSql.checkData(26, 2, "tba1")
         tdSql.checkData(27, 0, datetime.datetime(2021, 11, 11, 9, 0, 27))
-        tdSql.checkData(27, 1, None)
+        tdSql.checkData(27, 1, nan)
         tdSql.checkData(27, 2, "tba1")
         tdSql.checkData(28, 0, datetime.datetime(2021, 11, 11, 9, 0, 28))
-        tdSql.checkData(28, 1, None)
+        tdSql.checkData(28, 1, nan)
         tdSql.checkData(28, 2, "tba1")
         tdSql.checkData(29, 0, datetime.datetime(2021, 11, 11, 9, 0, 29))
         tdSql.checkData(29, 1, 1.5707963267948966)
@@ -7220,7 +7220,7 @@ class TDTestCase:
 
         tdSql.query("select acos(elapsed(ts)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(rate(c2)) from tba1;")
         tdSql.checkRows(1)
@@ -7247,82 +7247,82 @@ class TDTestCase:
         # ===========  begin math_atan  ==========
         tdSql.query("select acos(13) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c2) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c3) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c4) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c5) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c6) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c7) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c10) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(6, 0, 1.5707963267948966)
 
         tdSql.query("select acos(c11) from tb1;")
@@ -7330,19 +7330,19 @@ class TDTestCase:
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(6, 0, 1.5707963267948966)
 
         tdSql.query("select acos(c12) from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(6, 0, 1.5707963267948966)
 
         tdSql.query("select acos(c13) from tb1;")
@@ -7350,103 +7350,103 @@ class TDTestCase:
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(6, 0, 1.5707963267948966)
 
         tdSql.query("select acos(a) from (select acos(c2) as a from tb1);")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c2 + c3) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos((c2 + c3)) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos((c2 * c3)+c4-6) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(11)+c2 from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c2)+11 from tb1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 11.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query(
             "select acos(c2+c3) from tb1 where c2 is not null and c3 is not null;"
         )
         tdSql.checkRows(4)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
 
         tdSql.query("select acos(c2) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
+        tdSql.checkData(4, 0, nan)
         tdSql.checkData(5, 0, None)
         tdSql.checkData(6, 0, 0.0)
 
         tdSql.query("select acos(c2+c3) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(0, 0, nan)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, None)
         tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c2+c3) from tb1 order by ts desc limit 3 offset 2;")
         tdSql.checkRows(3)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
 
@@ -7454,18 +7454,18 @@ class TDTestCase:
         tdSql.checkRows(14)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 0.0)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
 
         tdSql.query("select acos(c2) from stb1 order by ts desc;")
         tdSql.checkRows(14)
@@ -7479,84 +7479,84 @@ class TDTestCase:
         tdSql.checkData(1, 1, "tb1")
         tdSql.checkData(2, 0, None)
         tdSql.checkData(2, 1, "tb1")
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(3, 0, nan)
         tdSql.checkData(3, 1, "tb1")
-        tdSql.checkData(4, 0, None)
+        tdSql.checkData(4, 0, nan)
         tdSql.checkData(4, 1, "tb1")
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(5, 1, "tb1")
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(6, 1, "tb1")
         tdSql.checkData(7, 0, 0.0)
         tdSql.checkData(7, 1, "tb2")
-        tdSql.checkData(8, 0, None)
+        tdSql.checkData(8, 0, nan)
         tdSql.checkData(8, 1, "tb2")
-        tdSql.checkData(9, 0, None)
+        tdSql.checkData(9, 0, nan)
         tdSql.checkData(9, 1, "tb2")
-        tdSql.checkData(10, 0, None)
+        tdSql.checkData(10, 0, nan)
         tdSql.checkData(10, 1, "tb2")
-        tdSql.checkData(11, 0, None)
+        tdSql.checkData(11, 0, nan)
         tdSql.checkData(11, 1, "tb2")
-        tdSql.checkData(12, 0, None)
+        tdSql.checkData(12, 0, nan)
         tdSql.checkData(12, 1, "tb2")
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(13, 0, nan)
         tdSql.checkData(13, 1, "tb2")
 
         tdSql.query("select acos(c3),tbname from stb1 where t1 > 1;")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(0, 1, "tb2")
-        tdSql.checkData(1, 0, None)
+        tdSql.checkData(1, 0, nan)
         tdSql.checkData(1, 1, "tb2")
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(2, 1, "tb2")
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(3, 0, nan)
         tdSql.checkData(3, 1, "tb2")
-        tdSql.checkData(4, 0, None)
+        tdSql.checkData(4, 0, nan)
         tdSql.checkData(4, 1, "tb2")
-        tdSql.checkData(5, 0, None)
+        tdSql.checkData(5, 0, nan)
         tdSql.checkData(5, 1, "tb2")
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(6, 1, "tb2")
 
         tdSql.query("select acos(a) from (select avg(c2) as a from stb1 interval(1s));")
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 0.0)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select acos(c2) from (select * from stb1);")
         tdSql.checkRows(14)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 0.0)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
 
         tdSql.query(
             "select acos(a) from (select avg(c2) as a from stb1 where ts >= '2021-11-11 09:00:00.000' and ts <= '2021-11-11 09:00:09.000' interval(1s) fill(null));"
         )
         tdSql.checkRows(10)
         tdSql.checkData(0, 0, 0.0)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
@@ -7566,12 +7566,12 @@ class TDTestCase:
         )
         tdSql.checkRows(10)
         tdSql.checkData(0, 0, 0.0)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
@@ -7583,12 +7583,12 @@ class TDTestCase:
         tdSql.checkData(0, 0, None)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
-        tdSql.checkData(8, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
+        tdSql.checkData(8, 0, nan)
         tdSql.checkData(9, 0, 0.0)
 
         tdSql.query(
@@ -7598,25 +7598,25 @@ class TDTestCase:
         tdSql.checkData(0, 0, None)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
         tdSql.checkData(8, 0, 0.0)
-        tdSql.checkData(9, 0, None)
+        tdSql.checkData(9, 0, nan)
 
         tdSql.query(
             "select acos(a) from (select avg(c2) as a from stb1 where ts >= '2021-11-11 09:00:00.000' and ts <= '2021-11-11 09:00:09.000' interval(1s) fill(null)) order by a;"
         )
         tdSql.checkRows(10)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, 0.0)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, None)
         tdSql.checkData(8, 0, None)
         tdSql.checkData(9, 0, None)
@@ -7625,11 +7625,11 @@ class TDTestCase:
         tdSql.checkRows(7)
         tdSql.checkData(0, 0, 1.5707963267948966)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query(
             "select acos(tb1.c3),acos(tb2.c3) from tb1,tb2 where tb1.ts=tb2.ts;"
@@ -7638,34 +7638,34 @@ class TDTestCase:
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(0, 1, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(1, 1, None)
+        tdSql.checkData(1, 1, nan)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(2, 1, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(3, 1, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(4, 1, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(5, 1, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(6, 1, None)
+        tdSql.checkData(2, 1, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(3, 1, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(4, 1, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(5, 1, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(6, 1, nan)
 
         tdSql.query("select acos(c3) from tb1 union all select acos(c3) from tb2;")
         tdSql.checkRows(14)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 0.0)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
 
         # ===========  end   math_atan  ==========
 
@@ -7677,17 +7677,17 @@ class TDTestCase:
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(0, 1, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(1, 1, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(2, 1, None)
+        tdSql.checkData(1, 1, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(2, 1, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(3, 1, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(4, 1, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(5, 1, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(6, 1, None)
+        tdSql.checkData(3, 1, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(4, 1, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(5, 1, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(6, 1, nan)
 
         tdSql.query(
             "select acos(c4) as a from stb1 union all select acos(c5) as a from stba;"
@@ -7695,80 +7695,80 @@ class TDTestCase:
         tdSql.checkRows(44)
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
+        tdSql.checkData(2, 0, nan)
         tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(7, 0, 0.0)
-        tdSql.checkData(8, 0, None)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
+        tdSql.checkData(8, 0, nan)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
         tdSql.checkData(14, 0, 0.0)
-        tdSql.checkData(15, 0, None)
-        tdSql.checkData(16, 0, None)
-        tdSql.checkData(17, 0, None)
-        tdSql.checkData(18, 0, None)
-        tdSql.checkData(19, 0, None)
-        tdSql.checkData(20, 0, None)
-        tdSql.checkData(21, 0, None)
-        tdSql.checkData(22, 0, None)
+        tdSql.checkData(15, 0, nan)
+        tdSql.checkData(16, 0, nan)
+        tdSql.checkData(17, 0, nan)
+        tdSql.checkData(18, 0, nan)
+        tdSql.checkData(19, 0, nan)
+        tdSql.checkData(20, 0, nan)
+        tdSql.checkData(21, 0, nan)
+        tdSql.checkData(22, 0, nan)
         tdSql.checkData(23, 0, 1.5707963267948966)
         tdSql.checkData(24, 0, 0.0)
-        tdSql.checkData(25, 0, None)
-        tdSql.checkData(26, 0, None)
-        tdSql.checkData(27, 0, None)
-        tdSql.checkData(28, 0, None)
-        tdSql.checkData(29, 0, None)
-        tdSql.checkData(30, 0, None)
-        tdSql.checkData(31, 0, None)
-        tdSql.checkData(32, 0, None)
+        tdSql.checkData(25, 0, nan)
+        tdSql.checkData(26, 0, nan)
+        tdSql.checkData(27, 0, nan)
+        tdSql.checkData(28, 0, nan)
+        tdSql.checkData(29, 0, nan)
+        tdSql.checkData(30, 0, nan)
+        tdSql.checkData(31, 0, nan)
+        tdSql.checkData(32, 0, nan)
         tdSql.checkData(33, 0, 1.5707963267948966)
         tdSql.checkData(34, 0, 0.0)
-        tdSql.checkData(35, 0, None)
-        tdSql.checkData(36, 0, None)
-        tdSql.checkData(37, 0, None)
-        tdSql.checkData(38, 0, None)
-        tdSql.checkData(39, 0, None)
-        tdSql.checkData(40, 0, None)
-        tdSql.checkData(41, 0, None)
-        tdSql.checkData(42, 0, None)
+        tdSql.checkData(35, 0, nan)
+        tdSql.checkData(36, 0, nan)
+        tdSql.checkData(37, 0, nan)
+        tdSql.checkData(38, 0, nan)
+        tdSql.checkData(39, 0, nan)
+        tdSql.checkData(40, 0, nan)
+        tdSql.checkData(41, 0, nan)
+        tdSql.checkData(42, 0, nan)
         tdSql.checkData(43, 0, 1.5707963267948966)
 
         tdSql.query("select acos(c2) from stba;")
         tdSql.checkRows(30)
         tdSql.checkData(0, 0, 0.0)
-        tdSql.checkData(1, 0, None)
-        tdSql.checkData(2, 0, None)
-        tdSql.checkData(3, 0, None)
-        tdSql.checkData(4, 0, None)
-        tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
-        tdSql.checkData(8, 0, None)
+        tdSql.checkData(1, 0, nan)
+        tdSql.checkData(2, 0, nan)
+        tdSql.checkData(3, 0, nan)
+        tdSql.checkData(4, 0, nan)
+        tdSql.checkData(5, 0, nan)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
+        tdSql.checkData(8, 0, nan)
         tdSql.checkData(9, 0, 1.5707963267948966)
         tdSql.checkData(10, 0, 0.0)
-        tdSql.checkData(11, 0, None)
-        tdSql.checkData(12, 0, None)
-        tdSql.checkData(13, 0, None)
-        tdSql.checkData(14, 0, None)
-        tdSql.checkData(15, 0, None)
-        tdSql.checkData(16, 0, None)
-        tdSql.checkData(17, 0, None)
-        tdSql.checkData(18, 0, None)
+        tdSql.checkData(11, 0, nan)
+        tdSql.checkData(12, 0, nan)
+        tdSql.checkData(13, 0, nan)
+        tdSql.checkData(14, 0, nan)
+        tdSql.checkData(15, 0, nan)
+        tdSql.checkData(16, 0, nan)
+        tdSql.checkData(17, 0, nan)
+        tdSql.checkData(18, 0, nan)
         tdSql.checkData(19, 0, 1.5707963267948966)
         tdSql.checkData(20, 0, 0.0)
-        tdSql.checkData(21, 0, None)
-        tdSql.checkData(22, 0, None)
-        tdSql.checkData(23, 0, None)
-        tdSql.checkData(24, 0, None)
-        tdSql.checkData(25, 0, None)
-        tdSql.checkData(26, 0, None)
-        tdSql.checkData(27, 0, None)
-        tdSql.checkData(28, 0, None)
+        tdSql.checkData(21, 0, nan)
+        tdSql.checkData(22, 0, nan)
+        tdSql.checkData(23, 0, nan)
+        tdSql.checkData(24, 0, nan)
+        tdSql.checkData(25, 0, nan)
+        tdSql.checkData(26, 0, nan)
+        tdSql.checkData(27, 0, nan)
+        tdSql.checkData(28, 0, nan)
         tdSql.checkData(29, 0, 1.5707963267948966)
 
         tdSql.query("select acos(min(c2)) from tba1;")
@@ -7777,19 +7777,19 @@ class TDTestCase:
 
         tdSql.query("select acos(max(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(count(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(sum(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(avg(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(percentile(c2, 10)) from tba1;")
         tdSql.checkRows(1)
@@ -7801,76 +7801,76 @@ class TDTestCase:
 
         tdSql.query("select acos(stddev(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(spread(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(twa(c2)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(interp(c2)) from tba1 every(1s)")
         tdSql.checkRows(30)
         tdSql.checkData(0, 0, datetime.datetime(2021, 11, 11, 9, 0))
         tdSql.checkData(0, 1, 0.0)
         tdSql.checkData(1, 0, datetime.datetime(2021, 11, 11, 9, 0, 1))
-        tdSql.checkData(1, 1, None)
+        tdSql.checkData(1, 1, nan)
         tdSql.checkData(2, 0, datetime.datetime(2021, 11, 11, 9, 0, 2))
-        tdSql.checkData(2, 1, None)
+        tdSql.checkData(2, 1, nan)
         tdSql.checkData(3, 0, datetime.datetime(2021, 11, 11, 9, 0, 3))
-        tdSql.checkData(3, 1, None)
+        tdSql.checkData(3, 1, nan)
         tdSql.checkData(4, 0, datetime.datetime(2021, 11, 11, 9, 0, 4))
-        tdSql.checkData(4, 1, None)
+        tdSql.checkData(4, 1, nan)
         tdSql.checkData(5, 0, datetime.datetime(2021, 11, 11, 9, 0, 5))
-        tdSql.checkData(5, 1, None)
+        tdSql.checkData(5, 1, nan)
         tdSql.checkData(6, 0, datetime.datetime(2021, 11, 11, 9, 0, 6))
-        tdSql.checkData(6, 1, None)
+        tdSql.checkData(6, 1, nan)
         tdSql.checkData(7, 0, datetime.datetime(2021, 11, 11, 9, 0, 7))
-        tdSql.checkData(7, 1, None)
+        tdSql.checkData(7, 1, nan)
         tdSql.checkData(8, 0, datetime.datetime(2021, 11, 11, 9, 0, 8))
-        tdSql.checkData(8, 1, None)
+        tdSql.checkData(8, 1, nan)
         tdSql.checkData(9, 0, datetime.datetime(2021, 11, 11, 9, 0, 9))
         tdSql.checkData(9, 1, 1.5707963267948966)
         tdSql.checkData(10, 0, datetime.datetime(2021, 11, 11, 9, 0, 10))
         tdSql.checkData(10, 1, 0.0)
         tdSql.checkData(11, 0, datetime.datetime(2021, 11, 11, 9, 0, 11))
-        tdSql.checkData(11, 1, None)
+        tdSql.checkData(11, 1, nan)
         tdSql.checkData(12, 0, datetime.datetime(2021, 11, 11, 9, 0, 12))
-        tdSql.checkData(12, 1, None)
+        tdSql.checkData(12, 1, nan)
         tdSql.checkData(13, 0, datetime.datetime(2021, 11, 11, 9, 0, 13))
-        tdSql.checkData(13, 1, None)
+        tdSql.checkData(13, 1, nan)
         tdSql.checkData(14, 0, datetime.datetime(2021, 11, 11, 9, 0, 14))
-        tdSql.checkData(14, 1, None)
+        tdSql.checkData(14, 1, nan)
         tdSql.checkData(15, 0, datetime.datetime(2021, 11, 11, 9, 0, 15))
-        tdSql.checkData(15, 1, None)
+        tdSql.checkData(15, 1, nan)
         tdSql.checkData(16, 0, datetime.datetime(2021, 11, 11, 9, 0, 16))
-        tdSql.checkData(16, 1, None)
+        tdSql.checkData(16, 1, nan)
         tdSql.checkData(17, 0, datetime.datetime(2021, 11, 11, 9, 0, 17))
-        tdSql.checkData(17, 1, None)
+        tdSql.checkData(17, 1, nan)
         tdSql.checkData(18, 0, datetime.datetime(2021, 11, 11, 9, 0, 18))
-        tdSql.checkData(18, 1, None)
+        tdSql.checkData(18, 1, nan)
         tdSql.checkData(19, 0, datetime.datetime(2021, 11, 11, 9, 0, 19))
         tdSql.checkData(19, 1, 1.5707963267948966)
         tdSql.checkData(20, 0, datetime.datetime(2021, 11, 11, 9, 0, 20))
         tdSql.checkData(20, 1, 0.0)
         tdSql.checkData(21, 0, datetime.datetime(2021, 11, 11, 9, 0, 21))
-        tdSql.checkData(21, 1, None)
+        tdSql.checkData(21, 1, nan)
         tdSql.checkData(22, 0, datetime.datetime(2021, 11, 11, 9, 0, 22))
-        tdSql.checkData(22, 1, None)
+        tdSql.checkData(22, 1, nan)
         tdSql.checkData(23, 0, datetime.datetime(2021, 11, 11, 9, 0, 23))
-        tdSql.checkData(23, 1, None)
+        tdSql.checkData(23, 1, nan)
         tdSql.checkData(24, 0, datetime.datetime(2021, 11, 11, 9, 0, 24))
-        tdSql.checkData(24, 1, None)
+        tdSql.checkData(24, 1, nan)
         tdSql.checkData(25, 0, datetime.datetime(2021, 11, 11, 9, 0, 25))
-        tdSql.checkData(25, 1, None)
+        tdSql.checkData(25, 1, nan)
         tdSql.checkData(26, 0, datetime.datetime(2021, 11, 11, 9, 0, 26))
-        tdSql.checkData(26, 1, None)
+        tdSql.checkData(26, 1, nan)
         tdSql.checkData(27, 0, datetime.datetime(2021, 11, 11, 9, 0, 27))
-        tdSql.checkData(27, 1, None)
+        tdSql.checkData(27, 1, nan)
         tdSql.checkData(28, 0, datetime.datetime(2021, 11, 11, 9, 0, 28))
-        tdSql.checkData(28, 1, None)
+        tdSql.checkData(28, 1, nan)
         tdSql.checkData(29, 0, datetime.datetime(2021, 11, 11, 9, 0, 29))
         tdSql.checkData(29, 1, 1.5707963267948966)
 
@@ -7880,28 +7880,28 @@ class TDTestCase:
         tdSql.checkData(0, 1, 0.0)
         tdSql.checkData(0, 2, "tba1")
         tdSql.checkData(1, 0, datetime.datetime(2021, 11, 11, 9, 0, 1))
-        tdSql.checkData(1, 1, None)
+        tdSql.checkData(1, 1, nan)
         tdSql.checkData(1, 2, "tba1")
         tdSql.checkData(2, 0, datetime.datetime(2021, 11, 11, 9, 0, 2))
-        tdSql.checkData(2, 1, None)
+        tdSql.checkData(2, 1, nan)
         tdSql.checkData(2, 2, "tba1")
         tdSql.checkData(3, 0, datetime.datetime(2021, 11, 11, 9, 0, 3))
-        tdSql.checkData(3, 1, None)
+        tdSql.checkData(3, 1, nan)
         tdSql.checkData(3, 2, "tba1")
         tdSql.checkData(4, 0, datetime.datetime(2021, 11, 11, 9, 0, 4))
-        tdSql.checkData(4, 1, None)
+        tdSql.checkData(4, 1, nan)
         tdSql.checkData(4, 2, "tba1")
         tdSql.checkData(5, 0, datetime.datetime(2021, 11, 11, 9, 0, 5))
-        tdSql.checkData(5, 1, None)
+        tdSql.checkData(5, 1, nan)
         tdSql.checkData(5, 2, "tba1")
         tdSql.checkData(6, 0, datetime.datetime(2021, 11, 11, 9, 0, 6))
-        tdSql.checkData(6, 1, None)
+        tdSql.checkData(6, 1, nan)
         tdSql.checkData(6, 2, "tba1")
         tdSql.checkData(7, 0, datetime.datetime(2021, 11, 11, 9, 0, 7))
-        tdSql.checkData(7, 1, None)
+        tdSql.checkData(7, 1, nan)
         tdSql.checkData(7, 2, "tba1")
         tdSql.checkData(8, 0, datetime.datetime(2021, 11, 11, 9, 0, 8))
-        tdSql.checkData(8, 1, None)
+        tdSql.checkData(8, 1, nan)
         tdSql.checkData(8, 2, "tba1")
         tdSql.checkData(9, 0, datetime.datetime(2021, 11, 11, 9, 0, 9))
         tdSql.checkData(9, 1, 1.5707963267948966)
@@ -7910,28 +7910,28 @@ class TDTestCase:
         tdSql.checkData(10, 1, 0.0)
         tdSql.checkData(10, 2, "tba1")
         tdSql.checkData(11, 0, datetime.datetime(2021, 11, 11, 9, 0, 11))
-        tdSql.checkData(11, 1, None)
+        tdSql.checkData(11, 1, nan)
         tdSql.checkData(11, 2, "tba1")
         tdSql.checkData(12, 0, datetime.datetime(2021, 11, 11, 9, 0, 12))
-        tdSql.checkData(12, 1, None)
+        tdSql.checkData(12, 1, nan)
         tdSql.checkData(12, 2, "tba1")
         tdSql.checkData(13, 0, datetime.datetime(2021, 11, 11, 9, 0, 13))
-        tdSql.checkData(13, 1, None)
+        tdSql.checkData(13, 1, nan)
         tdSql.checkData(13, 2, "tba1")
         tdSql.checkData(14, 0, datetime.datetime(2021, 11, 11, 9, 0, 14))
-        tdSql.checkData(14, 1, None)
+        tdSql.checkData(14, 1, nan)
         tdSql.checkData(14, 2, "tba1")
         tdSql.checkData(15, 0, datetime.datetime(2021, 11, 11, 9, 0, 15))
-        tdSql.checkData(15, 1, None)
+        tdSql.checkData(15, 1, nan)
         tdSql.checkData(15, 2, "tba1")
         tdSql.checkData(16, 0, datetime.datetime(2021, 11, 11, 9, 0, 16))
-        tdSql.checkData(16, 1, None)
+        tdSql.checkData(16, 1, nan)
         tdSql.checkData(16, 2, "tba1")
         tdSql.checkData(17, 0, datetime.datetime(2021, 11, 11, 9, 0, 17))
-        tdSql.checkData(17, 1, None)
+        tdSql.checkData(17, 1, nan)
         tdSql.checkData(17, 2, "tba1")
         tdSql.checkData(18, 0, datetime.datetime(2021, 11, 11, 9, 0, 18))
-        tdSql.checkData(18, 1, None)
+        tdSql.checkData(18, 1, nan)
         tdSql.checkData(18, 2, "tba1")
         tdSql.checkData(19, 0, datetime.datetime(2021, 11, 11, 9, 0, 19))
         tdSql.checkData(19, 1, 1.5707963267948966)
@@ -7940,28 +7940,28 @@ class TDTestCase:
         tdSql.checkData(20, 1, 0.0)
         tdSql.checkData(20, 2, "tba1")
         tdSql.checkData(21, 0, datetime.datetime(2021, 11, 11, 9, 0, 21))
-        tdSql.checkData(21, 1, None)
+        tdSql.checkData(21, 1, nan)
         tdSql.checkData(21, 2, "tba1")
         tdSql.checkData(22, 0, datetime.datetime(2021, 11, 11, 9, 0, 22))
-        tdSql.checkData(22, 1, None)
+        tdSql.checkData(22, 1, nan)
         tdSql.checkData(22, 2, "tba1")
         tdSql.checkData(23, 0, datetime.datetime(2021, 11, 11, 9, 0, 23))
-        tdSql.checkData(23, 1, None)
+        tdSql.checkData(23, 1, nan)
         tdSql.checkData(23, 2, "tba1")
         tdSql.checkData(24, 0, datetime.datetime(2021, 11, 11, 9, 0, 24))
-        tdSql.checkData(24, 1, None)
+        tdSql.checkData(24, 1, nan)
         tdSql.checkData(24, 2, "tba1")
         tdSql.checkData(25, 0, datetime.datetime(2021, 11, 11, 9, 0, 25))
-        tdSql.checkData(25, 1, None)
+        tdSql.checkData(25, 1, nan)
         tdSql.checkData(25, 2, "tba1")
         tdSql.checkData(26, 0, datetime.datetime(2021, 11, 11, 9, 0, 26))
-        tdSql.checkData(26, 1, None)
+        tdSql.checkData(26, 1, nan)
         tdSql.checkData(26, 2, "tba1")
         tdSql.checkData(27, 0, datetime.datetime(2021, 11, 11, 9, 0, 27))
-        tdSql.checkData(27, 1, None)
+        tdSql.checkData(27, 1, nan)
         tdSql.checkData(27, 2, "tba1")
         tdSql.checkData(28, 0, datetime.datetime(2021, 11, 11, 9, 0, 28))
-        tdSql.checkData(28, 1, None)
+        tdSql.checkData(28, 1, nan)
         tdSql.checkData(28, 2, "tba1")
         tdSql.checkData(29, 0, datetime.datetime(2021, 11, 11, 9, 0, 29))
         tdSql.checkData(29, 1, 1.5707963267948966)
@@ -7969,7 +7969,7 @@ class TDTestCase:
 
         tdSql.query("select acos(elapsed(ts)) from tba1;")
         tdSql.checkRows(1)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
 
         tdSql.query("select acos(rate(c2)) from tba1;")
         tdSql.checkRows(1)
@@ -10629,107 +10629,107 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 0.5404763088546395)
         tdSql.checkData(5, 0, 1.8886092516277813)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c2) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 1.0)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c3) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.465913680008469)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c4) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.22544144151366513)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c5) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.11093150296463757)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c6) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.05459909915208762)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c7) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.006824887406193638)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c10) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.8748229478056855)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c11) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.4367939948774267)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c12) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.2183963964662152)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c13) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.11093150296463757)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c2 + c3) from tb1;")
         tdSql.checkRows(7)
@@ -10739,7 +10739,7 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 0.6666666666666667)
         tdSql.checkData(5, 0, 0.4657403972991969)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,(c2 + c3)) from tb1;")
         tdSql.checkRows(7)
@@ -10749,17 +10749,17 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 0.6666666666666667)
         tdSql.checkData(5, 0, 0.4657403972991969)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,(c2 * c3)+c4-6) from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 0.5252990700743871)
         tdSql.checkData(5, 0, 0.22542113212116985)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,11)+c2 from tb1;")
         tdSql.checkRows(7)
@@ -10769,17 +10769,17 @@ class TDTestCase:
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 4.578129652635775)
         tdSql.checkData(5, 0, 129.02018292517226)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c2)+11 from tb1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 12.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 12.0)
         tdSql.checkData(5, 0, 12.0)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query(
             "select log(c2,c2+c3) from tb1 where c2 is not null and c3 is not null;"
@@ -10788,21 +10788,21 @@ class TDTestCase:
         tdSql.checkData(0, 0, 0.0)
         tdSql.checkData(1, 0, 0.6666666666666667)
         tdSql.checkData(2, 0, 0.4657403972991969)
-        tdSql.checkData(3, 0, None)
+        tdSql.checkData(3, 0, nan)
 
         tdSql.query("select log(c2,c2) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, 1.0)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, None)
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
 
         tdSql.query("select log(c2,c2+c3) from tb1 order by ts desc;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, 0.4657403972991969)
         tdSql.checkData(2, 0, 0.6666666666666667)
         tdSql.checkData(3, 0, None)
@@ -10818,14 +10818,14 @@ class TDTestCase:
 
         tdSql.query("select log(c2,c2) from stb1;")
         tdSql.checkRows(14)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 1.0)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
         tdSql.checkData(8, 0, 1.0)
         tdSql.checkData(9, 0, 1.0)
         tdSql.checkData(10, 0, 1.0)
@@ -10839,7 +10839,7 @@ class TDTestCase:
         tdSql.checkRows(14)
         tdSql.query("select log(c2,c3),tbname from stb1;")
         tdSql.checkRows(14)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(0, 1, "tb1")
         tdSql.checkData(1, 0, None)
         tdSql.checkData(1, 1, "tb1")
@@ -10851,9 +10851,9 @@ class TDTestCase:
         tdSql.checkData(4, 1, "tb1")
         tdSql.checkData(5, 0, 0.465913680008469)
         tdSql.checkData(5, 1, "tb1")
-        tdSql.checkData(6, 0, None)
+        tdSql.checkData(6, 0, nan)
         tdSql.checkData(6, 1, "tb1")
-        tdSql.checkData(7, 0, None)
+        tdSql.checkData(7, 0, nan)
         tdSql.checkData(7, 1, "tb2")
         tdSql.checkData(8, 0, 1.0)
         tdSql.checkData(8, 1, "tb2")
@@ -10870,7 +10870,7 @@ class TDTestCase:
 
         tdSql.query("select log(c2,c3),tbname from stb1 where t1 > 1;")
         tdSql.checkRows(7)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(0, 1, "tb2")
         tdSql.checkData(1, 0, 1.0)
         tdSql.checkData(1, 1, "tb2")
@@ -10887,14 +10887,14 @@ class TDTestCase:
 
         tdSql.query("select log(c2,c2) from (select * from stb1);")
         tdSql.checkRows(14)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 1.0)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
         tdSql.checkData(8, 0, 1.0)
         tdSql.checkData(9, 0, 1.0)
         tdSql.checkData(10, 0, 1.0)
@@ -10904,14 +10904,14 @@ class TDTestCase:
 
         tdSql.query("select log(c2,c3) from tb1 union all select log(c2,c3) from tb2;")
         tdSql.checkRows(14)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, None)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.465913680008469)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
         tdSql.checkData(8, 0, 1.0)
         tdSql.checkData(9, 0, 1.0)
         tdSql.checkData(10, 0, 1.0)
@@ -10926,21 +10926,21 @@ class TDTestCase:
             "select log(c2,c4) as a from stb1 union all select log(c2,c5) as a from stba;"
         )
         tdSql.checkRows(44)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, None)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, None)
         tdSql.checkData(4, 0, 1.0)
         tdSql.checkData(5, 0, 0.22544144151366513)
-        tdSql.checkData(6, 0, None)
-        tdSql.checkData(7, 0, None)
+        tdSql.checkData(6, 0, nan)
+        tdSql.checkData(7, 0, nan)
         tdSql.checkData(8, 0, 1.0)
         tdSql.checkData(9, 0, 1.5849625007211563)
         tdSql.checkData(10, 0, 1.0)
         tdSql.checkData(11, 0, 1.0)
         tdSql.checkData(12, 0, 1.0)
         tdSql.checkData(13, 0, 1.0)
-        tdSql.checkData(14, 0, None)
+        tdSql.checkData(14, 0, nan)
         tdSql.checkData(15, 0, 1.0)
         tdSql.checkData(16, 0, 1.0)
         tdSql.checkData(17, 0, 1.0)
@@ -10949,8 +10949,8 @@ class TDTestCase:
         tdSql.checkData(20, 0, 1.0)
         tdSql.checkData(21, 0, 1.0)
         tdSql.checkData(22, 0, 1.0)
-        tdSql.checkData(23, 0, None)
-        tdSql.checkData(24, 0, None)
+        tdSql.checkData(23, 0, nan)
+        tdSql.checkData(24, 0, nan)
         tdSql.checkData(25, 0, 1.0)
         tdSql.checkData(26, 0, 1.0)
         tdSql.checkData(27, 0, 1.0)
@@ -10959,8 +10959,8 @@ class TDTestCase:
         tdSql.checkData(30, 0, 1.0)
         tdSql.checkData(31, 0, 1.0)
         tdSql.checkData(32, 0, 1.0)
-        tdSql.checkData(33, 0, None)
-        tdSql.checkData(34, 0, None)
+        tdSql.checkData(33, 0, nan)
+        tdSql.checkData(34, 0, nan)
         tdSql.checkData(35, 0, 1.0)
         tdSql.checkData(36, 0, 1.0)
         tdSql.checkData(37, 0, 1.0)
@@ -10969,11 +10969,11 @@ class TDTestCase:
         tdSql.checkData(40, 0, 1.0)
         tdSql.checkData(41, 0, 1.0)
         tdSql.checkData(42, 0, 1.0)
-        tdSql.checkData(43, 0, None)
+        tdSql.checkData(43, 0, nan)
 
         tdSql.query("select log(c2,c2) from stba;")
         tdSql.checkRows(30)
-        tdSql.checkData(0, 0, None)
+        tdSql.checkData(0, 0, nan)
         tdSql.checkData(1, 0, 1.0)
         tdSql.checkData(2, 0, 1.0)
         tdSql.checkData(3, 0, 1.0)
@@ -10982,8 +10982,8 @@ class TDTestCase:
         tdSql.checkData(6, 0, 1.0)
         tdSql.checkData(7, 0, 1.0)
         tdSql.checkData(8, 0, 1.0)
-        tdSql.checkData(9, 0, None)
-        tdSql.checkData(10, 0, None)
+        tdSql.checkData(9, 0, nan)
+        tdSql.checkData(10, 0, nan)
         tdSql.checkData(11, 0, 1.0)
         tdSql.checkData(12, 0, 1.0)
         tdSql.checkData(13, 0, 1.0)
@@ -10992,8 +10992,8 @@ class TDTestCase:
         tdSql.checkData(16, 0, 1.0)
         tdSql.checkData(17, 0, 1.0)
         tdSql.checkData(18, 0, 1.0)
-        tdSql.checkData(19, 0, None)
-        tdSql.checkData(20, 0, None)
+        tdSql.checkData(19, 0, nan)
+        tdSql.checkData(20, 0, nan)
         tdSql.checkData(21, 0, 1.0)
         tdSql.checkData(22, 0, 1.0)
         tdSql.checkData(23, 0, 1.0)
@@ -11002,7 +11002,7 @@ class TDTestCase:
         tdSql.checkData(26, 0, 1.0)
         tdSql.checkData(27, 0, 1.0)
         tdSql.checkData(28, 0, 1.0)
-        tdSql.checkData(29, 0, None)
+        tdSql.checkData(29, 0, nan)
 
         # ===========  end   math_log2  ==========
 

tests/parallel_test/cases.task

@@ -111,7 +111,7 @@
 ,,develop-test,python3 ./test.py -f 2-query/diff_funcs.py
 ,,develop-test,python3 ./test.py -f 2-query/TD-13246.py
 ,,develop-test,python3 ./test.py -f 2-query/TD-6347.py
-#,,develop-test,python3 ./test.py -f 2-query/math_funcs.py
+,,develop-test,python3 ./test.py -f 2-query/math_funcs.py
 ,,develop-test,python3 ./test.py -f 5-taos-tools/taosbenchmark/limit_offset_json.py
 ,,develop-test,python3 ./test.py -f 5-taos-tools/taosbenchmark/sml_json_alltypes.py
 ,,develop-test,python3 ./test.py -f 5-taos-tools/taosbenchmark/auto_create_table_json.py