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yiguolei pushed a commit to branch branch-4.1
in repository https://gitbox.apache.org/repos/asf/doris.git


The following commit(s) were added to refs/heads/branch-4.1 by this push:
     new 01bba92ee0e branch-4.1: [Fix](variance) Fix sample variance/stddev NaN 
res for single value#63605 (#63912)
01bba92ee0e is described below

commit 01bba92ee0e14606d3b16ebc1a61d0d88f0b6617
Author: linrrarity <[email protected]>
AuthorDate: Mon Jun 1 17:29:34 2026 +0800

    branch-4.1: [Fix](variance) Fix sample variance/stddev NaN res for single 
value#63605 (#63912)
    
    cherry-pick: https://github.com/apache/doris/pull/63605
---
 be/src/exprs/aggregate/aggregate_function_stddev.h |  28 +-
 .../test_select_stddev_variance_window.out         | 933 ++++++++++-----------
 .../data/function_p0/test_agg_foreach.out          |   3 +-
 .../data/function_p0/test_agg_foreach_notnull.out  |   3 +-
 .../data/nereids_function_p0/agg_function/agg.out  | 672 +++++++--------
 .../data/nereids_p0/aggregate/agg_nullable_2.out   |  19 +-
 .../test_select_stddev_variance_window.out         | 293 ++++---
 .../normalize_window_nullable_agg_test.out         |   5 +-
 .../nereids_syntax_p0/mv/aggregate/agg_sync_mv.out | 157 ++--
 .../data/query_p0/aggregate/aggregate.out          |  30 +-
 .../test_select_stddev_variance_window.out         | 205 +++--
 .../suites/query_p0/aggregate/aggregate.groovy     |   1 +
 12 files changed, 1211 insertions(+), 1138 deletions(-)

diff --git a/be/src/exprs/aggregate/aggregate_function_stddev.h 
b/be/src/exprs/aggregate/aggregate_function_stddev.h
index 0169d0cdf82..90c86cc7f4f 100644
--- a/be/src/exprs/aggregate/aggregate_function_stddev.h
+++ b/be/src/exprs/aggregate/aggregate_function_stddev.h
@@ -21,13 +21,11 @@
 #include <cmath>
 #include <cstddef>
 #include <cstdint>
+#include <limits>
 #include <memory>
-#include <type_traits>
 
 #include "core/assert_cast.h"
 #include "core/column/column.h"
-#include "core/column/column_nullable.h"
-#include "core/data_type/data_type_decimal.h"
 #include "core/data_type/data_type_number.h"
 #include "core/types.h"
 #include "exprs/aggregate/aggregate_function.h"
@@ -38,8 +36,6 @@ class Arena;
 class BufferReadable;
 class BufferWritable;
 template <PrimitiveType T>
-class ColumnDecimal;
-template <PrimitiveType T>
 class ColumnVector;
 
 template <PrimitiveType T, bool is_stddev>
@@ -72,7 +68,7 @@ struct BaseData {
             // In MySQL, this will directly result in an error due to 
exceeding the double range.
             // For performance reasons, we are uniformly changing it to nan
             if (std::isinf(val)) {
-                return std::nan("");
+                return std::numeric_limits<double>::quiet_NaN();
             }
             return val;
         };
@@ -126,14 +122,9 @@ struct BaseData {
 
 template <PrimitiveType T, typename Name, bool is_stddev>
 struct PopData : BaseData<T, is_stddev>, Name {
-    using ColVecResult = std::conditional_t<is_decimal(T), ColumnDecimal128V2, 
ColumnFloat64>;
     void insert_result_into(IColumn& to) const {
-        auto& col = assert_cast<ColVecResult&>(to);
-        if constexpr (is_decimal(T)) {
-            col.get_data().push_back(this->get_pop_result().value());
-        } else {
-            col.get_data().push_back(this->get_pop_result());
-        }
+        auto& col = assert_cast<ColumnFloat64&>(to);
+        col.get_data().push_back(this->get_pop_result());
     }
 
     static DataTypePtr get_return_type() { return 
std::make_shared<DataTypeFloat64>(); }
@@ -145,17 +136,12 @@ struct PopData : BaseData<T, is_stddev>, Name {
 
 template <PrimitiveType T, typename Name, bool is_stddev>
 struct SampData : BaseData<T, is_stddev>, Name {
-    using ColVecResult = std::conditional_t<is_decimal(T), ColumnDecimal128V2, 
ColumnFloat64>;
     void insert_result_into(IColumn& to) const {
-        auto& col = assert_cast<ColVecResult&>(to);
+        auto& col = assert_cast<ColumnFloat64&>(to);
         if (this->count == 1 || this->count == 0) {
-            col.insert_default();
+            col.get_data().push_back(std::numeric_limits<double>::quiet_NaN());
         } else {
-            if constexpr (is_decimal(T)) {
-                col.get_data().push_back(this->get_samp_result().value());
-            } else {
-                col.get_data().push_back(this->get_samp_result());
-            }
+            col.get_data().push_back(this->get_samp_result());
         }
     }
 
diff --git 
a/regression-test/data/correctness_p0/test_select_stddev_variance_window.out 
b/regression-test/data/correctness_p0/test_select_stddev_variance_window.out
index 0c6ee4f84bc..f1563106a8a 100644
--- a/regression-test/data/correctness_p0/test_select_stddev_variance_window.out
+++ b/regression-test/data/correctness_p0/test_select_stddev_variance_window.out
@@ -1,613 +1,612 @@
 -- This file is automatically generated. You should know what you did if you 
want to edit this
 -- !select_default --
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-2      19879.492787402174
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+11     12502.18519139754
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 15     751.5664890746526
 
 -- !select_default --
 1      \N
 2      \N
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 4      1.5
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-7      2.0548046676563256
-8      14509.831241839674
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 15     817.8872511266792
 
 -- !select_default --
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+11     12502.18519139754
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+13     24652.59290541261
+14     23184.69621862663
 15     751.5664890746526
 
 -- !select_default --
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-
--- !select_default --
-1      10887.581821431579
-2      19879.492787402174
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+-- !select_default --
+1      10887.58182143158
+2      19879.49278740217
 3      21153.67606592388
-4      22705.953345616945
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 11     1.5
 12     26754.41351752392
-13     16511.0
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+13     16511
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 -- !select_default --
-1      0.0
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+2      0
 3      1.5
-4      2.0548046676563256
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 13     21209.57875727909
-14     19879.492787402174
-15     10887.581821431579
+14     19879.49278740217
+15     10887.58182143158
 
 -- !select_default --
-1      11759.932436232868
+1      11759.93243623287
 2      21252.07172380075
 3      21252.07172380075
 4      21252.07172380075
-5      11759.932436232868
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 7      21252.07172380075
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 10     22848.58156689486
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+11     13977.86797762806
+12     24873.12567410859
+13     27562.43677906582
+14     26771.38120580757
 15     867.8342295623053
 
 -- !select_default --
 1      \N
 2      \N
-3      0.0
+3      NaN
 4      2.1213203435596424
-5      0.0
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 6      2.8284271247461903
 7      2.5166114784235836
 8      17770.84139820059
-9      18291.867810587304
-10     20066.963331140396
+9      18291.8678105873
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 11     18290.27982290047
-12     20067.540656493013
-13     32787.156774159805
-14     32787.156774159805
+12     20067.54065649301
+13     32787.1567741598
+14     32787.1567741598
 15     1001.703216193965
 
 -- !select_default --
-1      2.8284271247461903
-2      2.1213203435596424
-3      2.5166114784235836
+1      2.82842712474619
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 4      17377.83345481632
 5      17770.84139820059
-6      15699.911422255434
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+9      13978.59530854227
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 11     13977.86797762806
 12     27673.28036211103
-13     27562.436779065818
-14     26771.381205807567
+13     27562.43677906582
+14     26771.38120580757
 15     867.8342295623053
 
 -- !select_default --
-1      0.0
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-
--- !select_default --
-1      11759.932436232868
+1      NaN
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+8      NaN
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+10     NaN
+11     NaN
+12     NaN
+13     NaN
+14     NaN
+15     NaN
+
+-- !select_default --
+1      11759.93243623287
 2      21252.07172380075
 3      22848.58156689486
-4      24873.125674108593
-5      12725.486747730582
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+12     32767.33074267723
 13     23350.08012834217
-14     0.0
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 -- !select_default --
-1      0.0
-2      0.0
+1      NaN
+2      NaN
 3      2.1213203435596424
 4      2.5166114784235836
 5      2.8284271247461903
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-
--- !select_default --
-1      1.1853943791836736E8
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+-- !select_default --
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 15     564852.1875
 
 -- !select_default --
 1      \N
 2      \N
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 4      2.25
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 -- !select_default --
-1      4.0
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 15     564852.1875
 
 -- !select_default --
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-
--- !select_default --
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+-- !select_default --
+1      118539437.9183674
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 -- !select_default --
-1      0.0
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 3      2.25
 4      4.222222222222222
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-6      2.1053520266666666E8
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-
--- !select_default --
-1      1.382960109047619E8
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+5      4
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+
+-- !select_default --
+1      138296010.9047619
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+14     716706851.6666666
 15     753136.25
 
 -- !select_default --
 1      \N
 2      \N
-3      0.0
+3      NaN
 4      4.5
-5      0.0
+5      NaN
 6      8.0
 7      6.333333333333334
-8      3.15802804E8
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-10     4.026830173333333E8
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+8      315802804
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+12     402706188
+13     1074997649.333333
+14     1074997649.333333
+15     1003409.333333333
 
 -- !select_default --
-1      8.0
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 2      4.5
 3      6.333333333333334
-4      3.019890955833333E8
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-10     5.380265732E8
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-12     7.65810446E8
-13     7.596879212E8
-14     7.167068516666666E8
+4      301989095.5833333
+5      315802804
+6      246487218.6666667
+7      241599387
+8      195401126.8
+9      195401126.8
+10     538026573.2
+11     195380793.2
+12     765810446
+13     759687921.2
+14     716706851.6666666
 15     753136.25
 
 -- !select_default --
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
-12     0.0
-13     0.0
-14     0.0
-15     0.0
-
--- !select_default --
-1      1.382960109047619E8
-2      4.516505525535714E8
-3      5.2205767961904764E8
-4      6.186723808E8
-5      1.6193801296666667E8
-6      1.9538079320000002E8
-7      7.596879212E8
+1      NaN
+2      NaN
+3      NaN
+4      NaN
+5      NaN
+6      NaN
+7      NaN
+8      NaN
+9      NaN
+10     NaN
+11     NaN
+12     NaN
+13     NaN
+14     NaN
+15     NaN
+
+-- !select_default --
+1      138296010.9047619
+2      451650552.5535714
+3      522057679.6190476
+4      618672380.8
+5      161938012.9666667
+6      195380793.2
+7      759687921.2
 8      753136.25
-9      2.3333333333333335
-10     7.167068516666666E8
+9      2.333333333333333
+10     716706851.6666666
 11     4.5
 12     1.073697964E9
 13     5.45226242E8
-14     0.0
-15     0.0
+14     NaN
+15     NaN
 
 -- !select_default --
-1      0.0
-2      0.0
+1      NaN
+2      NaN
 3      4.5
 4      6.333333333333334
-5      8.0
-6      3.15802804E8
-7      3.019890955833333E8
-8      2.4648721866666666E8
-9      1.954011268E8
-10     2.4159938699999997E8
-11     1.6194381986666667E8
-12     4.305257497666667E8
-13     5.2482060290476197E8
-14     4.516505525535715E8
-15     1.382960109047619E8
-
--- !select_default --
-1      1991.8000000000002
-2      1991.0
-3      1991.0
-4      1991.0
-5      1991.8000000000002
-6      1991.8000000000002
-7      1991.0
-8      1991.8000000000002
-9      1992.0
-10     1991.0
-11     8147.0000000000055
-12     1991.0
-13     8146.200000000006
+5      8
+6      315802804
+7      301989095.5833333
+8      246487218.6666667
+9      195401126.8
+10     241599387
+11     161943819.8666667
+12     430525749.7666667
+13     524820602.904762
+14     451650552.5535715
+15     138296010.9047619
+
+-- !select_default --
+1      1991.8
+2      1991
+3      1991
+4      1991
+5      1991.8
+6      1991.8
+7      1991
+8      1991.8
+9      1992
+10     1991
+11     8147.000000000005
+12     1991
+13     8146.200000000005
 14     14301.40000000001
 15     1991.4
 
 -- !select_default --
 1      \N
 2      \N
-3      1986.0
+3      1986
 4      1988.4
-5      1989.0
-6      1988.1999999999998
-7      1990.1999999999998
-8      20455.800000000003
-9      20454.200000000004
-10     1990.1999999999998
-11     20456.600000000006
-12     1991.0
-13     20456.600000000006
-14     20456.600000000006
-15     1990.1999999999998
-
--- !select_default --
-1      1988.1999999999998
+5      1989
+6      1988.2
+7      1990.2
+8      20455.8
+9      20454.2
+10     1990.2
+11     20456.6
+12     1991
+13     20456.6
+14     20456.6
+15     1990.2
+
+-- !select_default --
+1      1988.2
 2      1988.4
-3      1990.1999999999998
-4      1989.7999999999997
-5      20455.800000000003
-6      14300.200000000012
-7      1991.0
-8      8146.200000000006
-9      8146.200000000006
-10     8146.200000000006
-11     8147.0000000000055
-12     8146.200000000006
-13     8146.200000000006
+3      1990.2
+4      1989.8
+5      20455.8
+6      14300.20000000001
+7      1991
+8      8146.200000000005
+9      8146.200000000005
+10     8146.200000000005
+11     8147.000000000005
+12     8146.200000000005
+13     8146.200000000005
 14     14301.40000000001
 15     1991.4
 
 -- !select_default --
-1      1989.0
-2      1986.0
-3      1989.0
-4      1991.0
-5      1985.0
-6      32767.0
-7      -32767.0
-8      255.0
-9      1991.0
-10     1991.0
-11     1989.0
-12     32767.0
-13     -32767.0
-14     255.0
-15     1992.0
-
--- !select_default --
-1      1991.8000000000002
-2      1991.0
-3      1991.0
-4      1991.0
-5      1992.0
-6      8147.0000000000055
-7      8146.200000000006
+1      1989
+2      1986
+3      1989
+4      1991
+5      1985
+6      32767
+7      -32767
+8      255
+9      1991
+10     1991
+11     1989
+12     32767
+13     -32767
+14     255
+15     1992
+
+-- !select_default --
+1      1991.8
+2      1991
+3      1991
+4      1991
+5      1992
+6      8147.000000000005
+7      8146.200000000005
 8      1991.4
-9      1991.6000000000001
+9      1991.6
 10     14301.40000000001
 11     1991.4
-12     19762.200000000004
-13     -6349.399999999999
-14     255.0
-15     1992.0
+12     19762.2
+13     -6349.399999999998
+14     255
+15     1992
 
 -- !select_default --
-1      1989.0
-2      1986.0
+1      1989
+2      1986
 3      1988.4
-4      1990.1999999999998
-5      1988.1999999999998
-6      20455.800000000003
-7      1989.7999999999997
-8      14300.200000000012
-9      8146.200000000006
-10     1991.0
-11     1991.0
-12     1991.0
-13     1991.0
-14     1991.0
-15     1991.8000000000002
-
--- !select_default --
-1      1989.0
+4      1990.2
+5      1988.2
+6      20455.8
+7      1989.8
+8      14300.20000000001
+9      8146.200000000005
+10     1991
+11     1991
+12     1991
+13     1991
+14     1991
+15     1991.8
+
+-- !select_default --
+1      1989
 2      1987.5
 3      1987.5
 4      1987.5
-5      1989.0
-6      1989.0
+5      1989
+6      1989
 7      1987.5
-8      1989.0
-9      1990.0
-10     1989.0
-11     1991.0
-12     1123.0
-13     255.0
-14     1123.0
-15     1990.0
+8      1989
+9      1990
+10     1989
+11     1991
+12     1123
+13     255
+14     1123
+15     1990
 
 -- !select_default --
 1      \N
 2      \N
-3      1986.0
+3      1986
 4      1987.5
-5      1989.0
-6      1987.0
-7      1989.0
-8      1989.0
-9      1985.0
-10     1989.0
-11     1991.0
-12     1991.0
-13     1991.0
-14     1991.0
-15     1989.0
-
--- !select_default --
-1      1987.0
+5      1989
+6      1987
+7      1989
+8      1989
+9      1985
+10     1989
+11     1991
+12     1991
+13     1991
+14     1991
+15     1989
+
+-- !select_default --
+1      1987
 2      1987.5
-3      1989.0
+3      1989
 4      1987.5
-5      1989.0
-6      1987.0
-7      1989.0
-8      1989.0
-9      1989.0
-10     1991.0
-11     1991.0
-12     1991.0
-13     255.0
-14     1123.0
-15     1990.0
-
--- !select_default --
-1      1989.0
-2      1986.0
-3      1989.0
-4      1991.0
-5      1985.0
-6      32767.0
-7      -32767.0
-8      255.0
-9      1991.0
-10     1991.0
-11     1989.0
-12     32767.0
-13     -32767.0
-14     255.0
-15     1992.0
-
--- !select_default --
-1      1989.0
+5      1989
+6      1987
+7      1989
+8      1989
+9      1989
+10     1991
+11     1991
+12     1991
+13     255
+14     1123
+15     1990
+
+-- !select_default --
+1      1989
+2      1986
+3      1989
+4      1991
+5      1985
+6      32767
+7      -32767
+8      255
+9      1991
+10     1991
+11     1989
+12     32767
+13     -32767
+14     255
+15     1992
+
+-- !select_default --
+1      1989
 2      1987.5
-3      1989.0
-4      1123.0
-5      1990.0
-6      1991.0
-7      255.0
-8      1990.0
-9      1991.0
-10     1123.0
+3      1989
+4      1123
+5      1990
+6      1991
+7      255
+8      1990
+9      1991
+10     1123
 11     1990.5
-12     255.0
-13     -16256.0
-14     255.0
-15     1992.0
+12     255
+13     -16256
+14     255
+15     1992
 
 -- !select_default --
-1      1989.0
-2      1986.0
+1      1989
+2      1986
 3      1987.5
-4      1989.0
-5      1987.0
-6      1989.0
+4      1989
+5      1987
+6      1989
 7      1987.5
-8      1987.0
-9      1989.0
-10     1989.0
-11     1989.0
-12     1990.0
-13     1989.0
+8      1987
+9      1989
+10     1989
+11     1989
+12     1990
+13     1989
 14     1987.5
-15     1989.0
-
+15     1989
diff --git a/regression-test/data/function_p0/test_agg_foreach.out 
b/regression-test/data/function_p0/test_agg_foreach.out
index 9a6c77d1383..0ae73e90d3d 100644
--- a/regression-test/data/function_p0/test_agg_foreach.out
+++ b/regression-test/data/function_p0/test_agg_foreach.out
@@ -3,7 +3,7 @@
 [1, 2, 3]      [1, 2, 3]       [100, 2, 3]     [100, 2, 3]     
[40.33333333333334, 2, 3]       [85.95867768595042, 2, 3]
 
 -- !sql --
-[121, 4, 3]    [42.89781139198388, 0, 0]       [52.53887449625594, 0, 0]       
[1840.222222222222, 0, 0]       [2760.333333333333, 0, 0]
+[121, 4, 3]    [42.89781139198388, 0, 0]       [52.53887449625594, 0, NaN]     
[1840.222222222222, 0, 0]       [2760.333333333333, 0, NaN]
 
 -- !sql --
 [1840.222222222222, 0, 0]      [2760.333333333333, 0, 0]       [1, 0, 0]
@@ -19,4 +19,3 @@
 
 -- !sql --
 
["{"num_buckets":3,"buckets":[{"lower":"1","upper":"1","ndv":1,"count":1,"pre_sum":0},{"lower":"20","upper":"20","ndv":1,"count":1,"pre_sum":1},{"lower":"100","upper":"100","ndv":1,"count":1,"pre_sum":2}]}",
 
"{"num_buckets":1,"buckets":[{"lower":"2","upper":"2","ndv":1,"count":2,"pre_sum":0}]}",
 
"{"num_buckets":1,"buckets":[{"lower":"3","upper":"3","ndv":1,"count":1,"pre_sum":0}]}"]
-
diff --git a/regression-test/data/function_p0/test_agg_foreach_notnull.out 
b/regression-test/data/function_p0/test_agg_foreach_notnull.out
index 5bd1bf2fef0..71683b04143 100644
--- a/regression-test/data/function_p0/test_agg_foreach_notnull.out
+++ b/regression-test/data/function_p0/test_agg_foreach_notnull.out
@@ -3,7 +3,7 @@
 [1, 2, 3]      [1, 2, 3]       [100, 2, 3]     [100, 2, 3]     
[40.33333333333334, 2, 3]       [85.95867768595042, 2, 3]
 
 -- !sql --
-[121, 4, 3]    [42.89781139198388, 0, 0]       [52.53887449625594, 0, 0]       
[1840.222222222222, 0, 0]       [2760.333333333333, 0, 0]
+[121, 4, 3]    [42.89781139198388, 0, 0]       [52.53887449625594, 0, NaN]     
[1840.222222222222, 0, 0]       [2760.333333333333, 0, NaN]
 
 -- !sql --
 [1840.222222222222, 0, 0]      [2760.333333333333, 0, 0]       [1, 0, 0]
@@ -13,4 +13,3 @@
 
 -- !sql --
 
["{"num_buckets":3,"buckets":[{"lower":"1","upper":"1","ndv":1,"count":1,"pre_sum":0},{"lower":"20","upper":"20","ndv":1,"count":1,"pre_sum":1},{"lower":"100","upper":"100","ndv":1,"count":1,"pre_sum":2}]}",
 
"{"num_buckets":1,"buckets":[{"lower":"2","upper":"2","ndv":1,"count":2,"pre_sum":0}]}",
 
"{"num_buckets":1,"buckets":[{"lower":"3","upper":"3","ndv":1,"count":1,"pre_sum":0}]}"]
-
diff --git a/regression-test/data/nereids_function_p0/agg_function/agg.out 
b/regression-test/data/nereids_function_p0/agg_function/agg.out
index d0f3dfc22a6..4a50028a3ad 100644
--- a/regression-test/data/nereids_function_p0/agg_function/agg.out
+++ b/regression-test/data/nereids_function_p0/agg_function/agg.out
@@ -4233,18 +4233,18 @@ true
 
 -- !sql_stddev_samp_TinyInt_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_TinyInt_agg_phase_2 --
 12     3.605551275463989
@@ -4265,18 +4265,18 @@ true
 3.6055512754639896
 
 -- !sql_stddev_samp_TinyInt_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_TinyInt_agg_phase_2_notnull --
 12     3.6055512754639896
@@ -4299,18 +4299,18 @@ true
 
 -- !sql_stddev_samp_SmallInt_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_SmallInt_agg_phase_2 --
 12     3.6055512754639896
@@ -4331,18 +4331,18 @@ true
 3.605551275463989
 
 -- !sql_stddev_samp_SmallInt_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_SmallInt_agg_phase_2_notnull --
 12     3.605551275463989
@@ -4365,18 +4365,18 @@ true
 
 -- !sql_stddev_samp_Integer_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_Integer_agg_phase_2 --
 12     3.605551275463989
@@ -4397,18 +4397,18 @@ true
 3.605551275463989
 
 -- !sql_stddev_samp_Integer_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_Integer_agg_phase_2_notnull --
 12     3.605551275463989
@@ -4431,18 +4431,18 @@ true
 
 -- !sql_stddev_samp_BigInt_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_BigInt_agg_phase_2 --
 12     3.605551275463989
@@ -4463,18 +4463,18 @@ true
 3.6055512754639896
 
 -- !sql_stddev_samp_BigInt_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_BigInt_agg_phase_2_notnull --
 12     3.605551275463989
@@ -4497,18 +4497,18 @@ true
 
 -- !sql_stddev_samp_Float_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_Float_agg_phase_2 --
 12     0.3605551333887302
@@ -4529,18 +4529,18 @@ true
 0.3605551333887302
 
 -- !sql_stddev_samp_Float_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_Float_agg_phase_2_notnull --
 12     0.3605551333887302
@@ -4563,18 +4563,18 @@ true
 
 -- !sql_stddev_samp_Double_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_Double_agg_phase_2 --
 12     0.36055512754639896
@@ -4595,18 +4595,18 @@ true
 0.36055512754639896
 
 -- !sql_stddev_samp_Double_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_Double_agg_phase_2_notnull --
 12     0.36055512754639896
@@ -4621,18 +4621,18 @@ true
 
 -- !sql_stddev_samp_DecimalV2_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_DecimalV2_agg_phase_2 --
 12     0.36055512754639896
@@ -4646,18 +4646,18 @@ true
 12     0.36055512754639896
 
 -- !sql_stddev_samp_DecimalV2_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_stddev_samp_DecimalV2_agg_phase_2_notnull --
 12     0.36055512754639896
@@ -6366,18 +6366,18 @@ true
 
 -- !sql_variance_samp_TinyInt_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_TinyInt_agg_phase_2 --
 12     13.0
@@ -6398,18 +6398,18 @@ true
 13.000000000000002
 
 -- !sql_variance_samp_TinyInt_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_TinyInt_agg_phase_2_notnull --
 12     13.0
@@ -6432,18 +6432,18 @@ true
 
 -- !sql_variance_samp_SmallInt_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_SmallInt_agg_phase_2 --
 12     13.000000000000002
@@ -6464,18 +6464,18 @@ true
 13.0
 
 -- !sql_variance_samp_SmallInt_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_SmallInt_agg_phase_2_notnull --
 12     12.999999999999998
@@ -6498,18 +6498,18 @@ true
 
 -- !sql_variance_samp_Integer_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_Integer_agg_phase_2 --
 12     13.0
@@ -6530,18 +6530,18 @@ true
 13.000000000000002
 
 -- !sql_variance_samp_Integer_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_Integer_agg_phase_2_notnull --
 12     13.000000000000002
@@ -6564,18 +6564,18 @@ true
 
 -- !sql_variance_samp_BigInt_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_BigInt_agg_phase_2 --
 12     13.0
@@ -6596,18 +6596,18 @@ true
 13.000000000000002
 
 -- !sql_variance_samp_BigInt_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_BigInt_agg_phase_2_notnull --
 12     13.0
@@ -6630,18 +6630,18 @@ true
 
 -- !sql_variance_samp_Float_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_Float_agg_phase_2 --
 12     0.130000004212965
@@ -6662,18 +6662,18 @@ true
 0.130000004212965
 
 -- !sql_variance_samp_Float_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_Float_agg_phase_2_notnull --
 12     0.13000000421296498
@@ -6696,18 +6696,18 @@ true
 
 -- !sql_variance_samp_Double_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_Double_agg_phase_2 --
 12     0.12999999999999998
@@ -6728,18 +6728,18 @@ true
 0.12999999999999998
 
 -- !sql_variance_samp_Double_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_Double_agg_phase_2_notnull --
 12     0.13
@@ -6754,18 +6754,18 @@ true
 
 -- !sql_variance_samp_DecimalV2_agg_phase_1 --
 0      \N
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_DecimalV2_agg_phase_2 --
 12     0.13
@@ -6779,18 +6779,18 @@ true
 12     0.13
 
 -- !sql_variance_samp_DecimalV2_agg_phase_1_notnull --
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
-1      0.0
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
+1      NaN
 
 -- !sql_variance_samp_DecimalV2_agg_phase_2_notnull --
 12     0.12999999999999998
diff --git a/regression-test/data/nereids_p0/aggregate/agg_nullable_2.out 
b/regression-test/data/nereids_p0/aggregate/agg_nullable_2.out
index 4d498a30bae..cadd56b75cb 100644
--- a/regression-test/data/nereids_p0/aggregate/agg_nullable_2.out
+++ b/regression-test/data/nereids_p0/aggregate/agg_nullable_2.out
@@ -378,13 +378,13 @@ false
 0.0
 
 -- !select_stddev_samp --
-0.0
+NaN
 
 -- !select_stddev_samp2 --
-0.0
+NaN
 
 -- !select_stddev_samp_n --
-0.0
+NaN
 
 -- !select_sum0 --
 50
@@ -441,22 +441,22 @@ false
 0.0
 
 -- !select_variance_samp --
-0.0
+NaN
 
 -- !select_variance_samp2 --
-0.0
+NaN
 
 -- !select_variance_samp_n --
-0.0
+NaN
 
 -- !select_var_samp --
-0.0
+NaN
 
 -- !select_var_samp2 --
-0.0
+NaN
 
 -- !select_var_samp_n --
-0.0
+NaN
 
 -- !select_window_funnel --
 0
@@ -493,4 +493,3 @@ false
 
 -- !select_retention_n --
 [0, 0]
-
diff --git 
a/regression-test/data/nereids_p0/sql_functions/window_functions/test_select_stddev_variance_window.out
 
b/regression-test/data/nereids_p0/sql_functions/window_functions/test_select_stddev_variance_window.out
index cc19ecd6be6..c3c2c9a9095 100644
--- 
a/regression-test/data/nereids_p0/sql_functions/window_functions/test_select_stddev_variance_window.out
+++ 
b/regression-test/data/nereids_p0/sql_functions/window_functions/test_select_stddev_variance_window.out
@@ -30,7 +30,7 @@
 11     14933.950939609607
 12     16385.07833365468
 13     26770.601404442812
-14     26770.60140444281
+14     26770.601404442812
 15     817.8872511266792
 
 -- !select_default --
@@ -43,7 +43,7 @@
 7      13902.500120481925
 8      12502.835735944067
 9      12502.835735944067
-10     20746.59631264849
+10     20746.596312648493
 11     12502.185191397542
 12     24751.734420036104
 13     24652.592905412606
@@ -121,11 +121,11 @@
 -- !select_default --
 1      \N
 2      \N
-3      0.0
-4      2.1213203435596424
-5      0.0
-6      2.8284271247461903
-7      2.5166114784235836
+3      NaN
+4      2.121320343559642
+5      NaN
+6      2.82842712474619
+7      2.516611478423584
 8      17770.84139820059
 9      18291.867810587304
 10     20066.963331140396
@@ -145,29 +145,29 @@
 7      15543.467663298301
 8      13978.595308542272
 9      13978.595308542272
-10     23195.39982841425
+10     23195.399828414254
 11     13977.86797762806
 12     27673.28036211103
-13     27562.436779065814
+13     27562.436779065818
 14     26771.381205807567
 15     867.8342295623053
 
 -- !select_default --
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
-12     0.0
-13     0.0
-14     0.0
-15     0.0
+1      NaN
+2      NaN
+3      NaN
+4      NaN
+5      NaN
+6      NaN
+7      NaN
+8      NaN
+9      NaN
+10     NaN
+11     NaN
+12     NaN
+13     NaN
+14     NaN
+15     NaN
 
 -- !select_default --
 1      11759.932436232868
@@ -183,15 +183,15 @@
 11     2.1213203435596424
 12     32767.330742677226
 13     23350.08012834217
-14     0.0
-15     0.0
+14     NaN
+15     NaN
 
 -- !select_default --
-1      0.0
-2      0.0
-3      2.1213203435596424
-4      2.5166114784235836
-5      2.8284271247461903
+1      NaN
+2      NaN
+3      2.121320343559642
+4      2.516611478423584
+5      2.82842712474619
 6      17770.84139820059
 7      17377.83345481632
 8      15699.911422255434
@@ -234,7 +234,7 @@
 11     2.2302289066666666E8
 12     2.68470792E8
 13     7.166650995555555E8
-14     7.166650995555553E8
+14     7.166650995555555E8
 15     668939.5555555556
 
 -- !select_default --
@@ -247,10 +247,10 @@
 7      1.9327950959999996E8
 8      1.5632090144E8
 9      1.5632090144E8
-10     4.3042125855999994E8
+10     4.3042125856000006E8
 11     1.5630463456E8
 12     6.126483568E8
-13     6.077503369599999E8
+13     6.0775033696E8
 14     5.3753013875E8
 15     564852.1875
 
@@ -325,10 +325,10 @@
 -- !select_default --
 1      \N
 2      \N
-3      0.0
+3      NaN
 4      4.5
-5      0.0
-6      8.0
+5      NaN
+6      8
 7      6.333333333333334
 8      3.15802804E8
 9      3.34592428E8
@@ -336,7 +336,7 @@
 11     3.34534336E8
 12     4.02706188E8
 13     1.0749976493333333E9
-14     1.074997649333333E9
+14     1.0749976493333333E9
 15     1003409.3333333334
 
 -- !select_default --
@@ -349,29 +349,29 @@
 7      2.4159938699999997E8
 8      1.954011268E8
 9      1.954011268E8
-10     5.380265731999999E8
+10     5.380265732E8
 11     1.953807932E8
-12     7.658104459999999E8
-13     7.596879211999999E8
+12     7.65810446E8
+13     7.596879212E8
 14     7.167068516666666E8
 15     753136.25
 
 -- !select_default --
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
-12     0.0
-13     0.0
-14     0.0
-15     0.0
+1      NaN
+2      NaN
+3      NaN
+4      NaN
+5      NaN
+6      NaN
+7      NaN
+8      NaN
+9      NaN
+10     NaN
+11     NaN
+12     NaN
+13     NaN
+14     NaN
+15     NaN
 
 -- !select_default --
 1      1.382960109047619E8
@@ -385,14 +385,14 @@
 9      2.3333333333333335
 10     7.167068516666666E8
 11     4.5
-12     1.073697964E9
-13     5.45226242E8
-14     0.0
-15     0.0
+12     1073697964
+13     545226242
+14     NaN
+15     NaN
 
 -- !select_default --
-1      0.0
-2      0.0
+1      NaN
+2      NaN
 3      4.5
 4      6.333333333333334
 5      8.0
@@ -529,11 +529,11 @@
 -- !select_default --
 1      \N
 2      \N
-3      0.0
-4      2.1213203435596424
-5      0.0
-6      2.8284271247461903
-7      2.5166114784235836
+3      NaN
+4      2.121320343559642
+5      NaN
+6      2.82842712474619
+7      2.516611478423584
 8      17770.84139820059
 9      18291.867810587304
 10     20066.963331140396
@@ -561,21 +561,21 @@
 15     867.8342295623053
 
 -- !select_default --
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
-12     0.0
-13     0.0
-14     0.0
-15     0.0
+1      NaN
+2      NaN
+3      NaN
+4      NaN
+5      NaN
+6      NaN
+7      NaN
+8      NaN
+9      NaN
+10     NaN
+11     NaN
+12     NaN
+13     NaN
+14     NaN
+15     NaN
 
 -- !select_default --
 1      11759.932436232868
@@ -591,15 +591,15 @@
 11     2.1213203435596424
 12     32767.330742677226
 13     23350.08012834217
-14     0.0
-15     0.0
+14     NaN
+15     NaN
 
 -- !select_default --
-1      0.0
-2      0.0
-3      2.1213203435596424
-4      2.5166114784235836
-5      2.8284271247461903
+1      NaN
+2      NaN
+3      2.121320343559642
+4      2.516611478423584
+5      2.82842712474619
 6      17770.84139820059
 7      17377.83345481632
 8      15699.911422255434
@@ -733,10 +733,10 @@
 -- !select_default --
 1      \N
 2      \N
-3      0.0
+3      NaN
 4      4.5
-5      0.0
-6      8.0
+5      NaN
+6      8
 7      6.333333333333334
 8      3.15802804E8
 9      3.34592428E8
@@ -765,21 +765,21 @@
 15     753136.25
 
 -- !select_default --
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
-12     0.0
-13     0.0
-14     0.0
-15     0.0
+1      NaN
+2      NaN
+3      NaN
+4      NaN
+5      NaN
+6      NaN
+7      NaN
+8      NaN
+9      NaN
+10     NaN
+11     NaN
+12     NaN
+13     NaN
+14     NaN
+15     NaN
 
 -- !select_default --
 1      1.382960109047619E8
@@ -793,14 +793,14 @@
 9      2.3333333333333335
 10     7.167068516666666E8
 11     4.5
-12     1.073697964E9
-13     5.45226242E8
-14     0.0
-15     0.0
+12     1073697964
+13     545226242
+14     NaN
+15     NaN
 
 -- !select_default --
-1      0.0
-2      0.0
+1      NaN
+2      NaN
 3      4.5
 4      6.333333333333334
 5      8.0
@@ -1019,3 +1019,70 @@
 14     1987.5
 15     1989.0
 
+-- !sql_row_number_1 --
+1      -32767  false
+1      255     false
+1      1985    true
+1      1986    false
+1      1989    false
+1      1991    false
+1      1992    true
+1      32767   false
+
+-- !sql_rank_1 --
+1      -32767  false
+1      -32767  false
+1      255     false
+1      1985    true
+1      1986    false
+1      1989    false
+1      1991    false
+1      1991    false
+1      1992    true
+1      32767   false
+
+-- !sql_dense_rank_1 --
+1      -32767  false
+1      -32767  false
+1      255     false
+1      1985    true
+1      1986    false
+1      1989    false
+1      1991    false
+1      1991    false
+1      1992    true
+1      32767   false
+
+-- !sql_row_number --
+1      -32767  false
+1      255     false
+1      1985    true
+1      1986    false
+1      1989    false
+1      1991    false
+1      1992    true
+1      32767   false
+
+-- !sql_rank --
+1      -32767  false
+1      -32767  false
+1      255     false
+1      1985    true
+1      1986    false
+1      1989    false
+1      1991    false
+1      1991    false
+1      1992    true
+1      32767   false
+
+-- !sql_dense_rank --
+1      -32767  false
+1      -32767  false
+1      255     false
+1      1985    true
+1      1986    false
+1      1989    false
+1      1991    false
+1      1991    false
+1      1992    true
+1      32767   false
diff --git 
a/regression-test/data/nereids_rules_p0/normalize_window/normalize_window_nullable_agg_test.out
 
b/regression-test/data/nereids_rules_p0/normalize_window/normalize_window_nullable_agg_test.out
index f910333a57e..8ecf41687e3 100644
--- 
a/regression-test/data/nereids_rules_p0/normalize_window/normalize_window_nullable_agg_test.out
+++ 
b/regression-test/data/nereids_rules_p0/normalize_window/normalize_window_nullable_agg_test.out
@@ -122,7 +122,7 @@
 
 -- !variance_samp --
 \N
-0.0
+NaN
 0.5
 0.0
 0.5
@@ -166,7 +166,7 @@
 
 -- !stddev_samp --
 \N
-0.0
+NaN
 0.7071067811865476
 0.0
 0.7071067811865476
@@ -294,4 +294,3 @@ false
 -- !fold_window --
 0      false   0       be
 9999-12-31 23:59:59    false   9999-12-31 23:59:59     b
-
diff --git 
a/regression-test/data/nereids_syntax_p0/mv/aggregate/agg_sync_mv.out 
b/regression-test/data/nereids_syntax_p0/mv/aggregate/agg_sync_mv.out
index 18af62dbfa7..21b784491d3 100644
--- a/regression-test/data/nereids_syntax_p0/mv/aggregate/agg_sync_mv.out
+++ b/regression-test/data/nereids_syntax_p0/mv/aggregate/agg_sync_mv.out
@@ -1200,34 +1200,34 @@
 11     0.0
 
 -- !select_stddev_samp --
-\N     0.0
-0      0.0
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
+\N     NaN
+0      0
+1      0
+2      0
+3      0
+4      0
+5      0
+6      0
+7      0
+8      0
+9      0
+10     0
+11     0
 
 -- !select_stddev_samp_mv --
-\N     0.0
-0      0.0
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
+\N     NaN
+0      0
+1      0
+2      0
+3      0
+4      0
+5      0
+6      0
+7      0
+8      0
+9      0
+10     0
+11     0
 
 -- !select_sum0 --
 \N     1
@@ -1410,64 +1410,64 @@
 11     0.0
 
 -- !select_variance_samp --
-\N     0.0
-0      0.0
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
+\N     NaN
+0      0
+1      0
+2      0
+3      0
+4      0
+5      0
+6      0
+7      0
+8      0
+9      0
+10     0
+11     0
 
 -- !select_variance_samp_mv --
-\N     0.0
-0      0.0
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
+\N     NaN
+0      0
+1      0
+2      0
+3      0
+4      0
+5      0
+6      0
+7      0
+8      0
+9      0
+10     0
+11     0
 
 -- !select_var_samp --
-\N     0.0
-0      0.0
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
+\N     NaN
+0      0
+1      0
+2      0
+3      0
+4      0
+5      0
+6      0
+7      0
+8      0
+9      0
+10     0
+11     0
 
 -- !select_var_samp_mv --
-\N     0.0
-0      0.0
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
+\N     NaN
+0      0
+1      0
+2      0
+3      0
+4      0
+5      0
+6      0
+7      0
+8      0
+9      0
+10     0
+11     0
 
 -- !select_window_funnel --
 \N     1
@@ -1603,4 +1603,3 @@
 10     {9:"string1"}
 11     {10:"string2"}
 12     {11:"string3"}
-
diff --git a/regression-test/data/query_p0/aggregate/aggregate.out 
b/regression-test/data/query_p0/aggregate/aggregate.out
index f17c690ec49..918a701fb03 100644
--- a/regression-test/data/query_p0/aggregate/aggregate.out
+++ b/regression-test/data/query_p0/aggregate/aggregate.out
@@ -78,7 +78,10 @@ TESTING      AGAIN
 9882691.114285713      1808.1659023775003
 
 -- !aggregate --
-9223845.040000001      1239.7633269557336
+NaN    NaN     NaN     NaN
+
+-- !aggregate --
+9223845.040000001      1239.763326955734
 
 -- !aggregate --
 9891387.555555556      1239.763326955733
@@ -699,4 +702,27 @@ TESTING    AGAIN
 16     \N
 
 -- !aggregate35 --
-12.25  32.625  43.75   54.999999999999986      77.49999999999994       \N
+12.25  32.625  43.75   54.99999999999999       77.49999999999994       \N
+
+-- !select_quantile_percent --
+5000
+
+-- !aggregate --
+1      1
+1      1
+1      1
+1      1
+1      1
+1      1
+1      1
+1      1
+1      1
+2      1
+2      1
+
+-- !having_with_limit --
+7      -32767
+
+-- !four_phase_full_distribute --
+hello  1       1
+world  1       1
diff --git 
a/regression-test/data/query_p0/sql_functions/window_functions/test_select_stddev_variance_window.out
 
b/regression-test/data/query_p0/sql_functions/window_functions/test_select_stddev_variance_window.out
index 0da41c3f527..c3c2c9a9095 100644
--- 
a/regression-test/data/query_p0/sql_functions/window_functions/test_select_stddev_variance_window.out
+++ 
b/regression-test/data/query_p0/sql_functions/window_functions/test_select_stddev_variance_window.out
@@ -121,11 +121,11 @@
 -- !select_default --
 1      \N
 2      \N
-3      0.0
-4      2.1213203435596424
-5      0.0
-6      2.8284271247461903
-7      2.5166114784235836
+3      NaN
+4      2.121320343559642
+5      NaN
+6      2.82842712474619
+7      2.516611478423584
 8      17770.84139820059
 9      18291.867810587304
 10     20066.963331140396
@@ -153,21 +153,21 @@
 15     867.8342295623053
 
 -- !select_default --
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
-12     0.0
-13     0.0
-14     0.0
-15     0.0
+1      NaN
+2      NaN
+3      NaN
+4      NaN
+5      NaN
+6      NaN
+7      NaN
+8      NaN
+9      NaN
+10     NaN
+11     NaN
+12     NaN
+13     NaN
+14     NaN
+15     NaN
 
 -- !select_default --
 1      11759.932436232868
@@ -183,15 +183,15 @@
 11     2.1213203435596424
 12     32767.330742677226
 13     23350.08012834217
-14     0.0
-15     0.0
+14     NaN
+15     NaN
 
 -- !select_default --
-1      0.0
-2      0.0
-3      2.1213203435596424
-4      2.5166114784235836
-5      2.8284271247461903
+1      NaN
+2      NaN
+3      2.121320343559642
+4      2.516611478423584
+5      2.82842712474619
 6      17770.84139820059
 7      17377.83345481632
 8      15699.911422255434
@@ -325,10 +325,10 @@
 -- !select_default --
 1      \N
 2      \N
-3      0.0
+3      NaN
 4      4.5
-5      0.0
-6      8.0
+5      NaN
+6      8
 7      6.333333333333334
 8      3.15802804E8
 9      3.34592428E8
@@ -357,21 +357,21 @@
 15     753136.25
 
 -- !select_default --
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
-12     0.0
-13     0.0
-14     0.0
-15     0.0
+1      NaN
+2      NaN
+3      NaN
+4      NaN
+5      NaN
+6      NaN
+7      NaN
+8      NaN
+9      NaN
+10     NaN
+11     NaN
+12     NaN
+13     NaN
+14     NaN
+15     NaN
 
 -- !select_default --
 1      1.382960109047619E8
@@ -385,14 +385,14 @@
 9      2.3333333333333335
 10     7.167068516666666E8
 11     4.5
-12     1.073697964E9
-13     5.45226242E8
-14     0.0
-15     0.0
+12     1073697964
+13     545226242
+14     NaN
+15     NaN
 
 -- !select_default --
-1      0.0
-2      0.0
+1      NaN
+2      NaN
 3      4.5
 4      6.333333333333334
 5      8.0
@@ -529,11 +529,11 @@
 -- !select_default --
 1      \N
 2      \N
-3      0.0
-4      2.1213203435596424
-5      0.0
-6      2.8284271247461903
-7      2.5166114784235836
+3      NaN
+4      2.121320343559642
+5      NaN
+6      2.82842712474619
+7      2.516611478423584
 8      17770.84139820059
 9      18291.867810587304
 10     20066.963331140396
@@ -561,21 +561,21 @@
 15     867.8342295623053
 
 -- !select_default --
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
-12     0.0
-13     0.0
-14     0.0
-15     0.0
+1      NaN
+2      NaN
+3      NaN
+4      NaN
+5      NaN
+6      NaN
+7      NaN
+8      NaN
+9      NaN
+10     NaN
+11     NaN
+12     NaN
+13     NaN
+14     NaN
+15     NaN
 
 -- !select_default --
 1      11759.932436232868
@@ -591,15 +591,15 @@
 11     2.1213203435596424
 12     32767.330742677226
 13     23350.08012834217
-14     0.0
-15     0.0
+14     NaN
+15     NaN
 
 -- !select_default --
-1      0.0
-2      0.0
-3      2.1213203435596424
-4      2.5166114784235836
-5      2.8284271247461903
+1      NaN
+2      NaN
+3      2.121320343559642
+4      2.516611478423584
+5      2.82842712474619
 6      17770.84139820059
 7      17377.83345481632
 8      15699.911422255434
@@ -733,10 +733,10 @@
 -- !select_default --
 1      \N
 2      \N
-3      0.0
+3      NaN
 4      4.5
-5      0.0
-6      8.0
+5      NaN
+6      8
 7      6.333333333333334
 8      3.15802804E8
 9      3.34592428E8
@@ -765,21 +765,21 @@
 15     753136.25
 
 -- !select_default --
-1      0.0
-2      0.0
-3      0.0
-4      0.0
-5      0.0
-6      0.0
-7      0.0
-8      0.0
-9      0.0
-10     0.0
-11     0.0
-12     0.0
-13     0.0
-14     0.0
-15     0.0
+1      NaN
+2      NaN
+3      NaN
+4      NaN
+5      NaN
+6      NaN
+7      NaN
+8      NaN
+9      NaN
+10     NaN
+11     NaN
+12     NaN
+13     NaN
+14     NaN
+15     NaN
 
 -- !select_default --
 1      1.382960109047619E8
@@ -793,14 +793,14 @@
 9      2.3333333333333335
 10     7.167068516666666E8
 11     4.5
-12     1.073697964E9
-13     5.45226242E8
-14     0.0
-15     0.0
+12     1073697964
+13     545226242
+14     NaN
+15     NaN
 
 -- !select_default --
-1      0.0
-2      0.0
+1      NaN
+2      NaN
 3      4.5
 4      6.333333333333334
 5      8.0
@@ -1086,4 +1086,3 @@
 1      1991    false
 1      1992    true
 1      32767   false
-
diff --git a/regression-test/suites/query_p0/aggregate/aggregate.groovy 
b/regression-test/suites/query_p0/aggregate/aggregate.groovy
index c9afd839fcc..29db09e2ce2 100644
--- a/regression-test/suites/query_p0/aggregate/aggregate.groovy
+++ b/regression-test/suites/query_p0/aggregate/aggregate.groovy
@@ -133,6 +133,7 @@ suite("aggregate") {
     qt_aggregate """ select var_samp(c_bigint), var_samp(c_double) from 
${tableName} """
     qt_aggregate """ select var_samp(distinct c_bigint), var_samp(c_double) 
from ${tableName} """
     qt_aggregate """ select var_samp(c_bigint), var_samp(distinct c_double) 
from ${tableName} """
+    qt_aggregate """ select var_samp(c_bigint), var_samp(c_double), 
stddev_samp(c_bigint), stddev_samp(c_double) from ${tableName2} """
     qt_aggregate """ select variance(c_bigint), variance(c_double) from 
${tableName}  """
     qt_aggregate """ select variance(distinct c_bigint), variance(c_double) 
from ${tableName}  """
     qt_aggregate """ select variance(c_bigint), variance(distinct c_double) 
from ${tableName}  """


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