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The following commit(s) were added to refs/heads/branch-4.0 by this push:
     new cbe11335daf branch-4.0: [Enhancement] support simple sql function for 
factorial(from Hive) #57144 (#57878)
cbe11335daf is described below

commit cbe11335dafc0cac8b2e974135bfbb1ea4c47baf
Author: github-actions[bot] 
<41898282+github-actions[bot]@users.noreply.github.com>
AuthorDate: Tue Nov 11 09:24:36 2025 +0800

    branch-4.0: [Enhancement] support simple sql function for factorial(from 
Hive) #57144 (#57878)
    
    Cherry-picked from #57144
    
    Co-authored-by: K_handle_Y <[email protected]>
---
 be/src/vec/functions/math.cpp                      | 69 ++++++++++++++++++++
 be/test/vec/function/function_math_test.cpp        | 28 +++++++++
 .../doris/catalog/BuiltinScalarFunctions.java      |  2 +
 .../functions/executable/NumericArithmetic.java    | 13 ++++
 .../expressions/functions/scalar/Factorial.java    | 73 ++++++++++++++++++++++
 .../expressions/visitor/ScalarFunctionVisitor.java |  5 ++
 .../test_math_unary_always_nullable.out            | 38 +++++++++++
 .../fold_constant_numeric_arithmatic.groovy        | 10 +++
 .../test_math_unary_always_nullable.groovy         | 43 +++++++++++++
 9 files changed, 281 insertions(+)

diff --git a/be/src/vec/functions/math.cpp b/be/src/vec/functions/math.cpp
index 87117b80f2c..33c50114c17 100644
--- a/be/src/vec/functions/math.cpp
+++ b/be/src/vec/functions/math.cpp
@@ -388,6 +388,74 @@ double csc(double x) {
 }
 using FunctionCosec = FunctionMathUnary<UnaryFunctionPlain<CscName, csc>>;
 
+static const Int64 FACT_TABLE[] = {1LL,
+                                   1LL,
+                                   2LL,
+                                   6LL,
+                                   24LL,
+                                   120LL,
+                                   720LL,
+                                   5040LL,
+                                   40320LL,
+                                   362880LL,
+                                   3628800LL,
+                                   39916800LL,
+                                   479001600LL,
+                                   6227020800LL,
+                                   87178291200LL,
+                                   1307674368000LL,
+                                   20922789888000LL,
+                                   355687428096000LL,
+                                   6402373705728000LL,
+                                   121645100408832000LL,
+                                   2432902008176640000LL};
+
+class FunctionFactorial : public IFunction {
+public:
+    static constexpr auto name = "factorial";
+    static FunctionPtr create() { return 
std::make_shared<FunctionFactorial>(); }
+
+private:
+    String get_name() const override { return name; }
+    size_t get_number_of_arguments() const override { return 1; }
+
+    DataTypePtr get_return_type_impl(const DataTypes& arguments) const 
override {
+        return make_nullable(std::make_shared<DataTypeInt64>());
+    }
+
+    Status execute_impl(FunctionContext* context, Block& block, const 
ColumnNumbers& arguments,
+                        uint32_t result, size_t input_rows_count) const 
override {
+        const auto* data_col =
+                
check_and_get_column<ColumnInt64>(block.get_by_position(arguments[0]).column.get());
+        if (!data_col) {
+            return Status::InternalError(
+                    "Unexpected column '%s' for argument of function %s",
+                    
block.get_by_position(arguments[0]).column->get_name().c_str(), get_name());
+        }
+
+        auto result_column = ColumnInt64::create(input_rows_count);
+        auto result_null_map = ColumnUInt8::create(input_rows_count, 0);
+        auto& result_data = result_column->get_data();
+        auto& result_null_map_data = result_null_map->get_data();
+
+        const auto& src_data = data_col->get_data();
+        for (size_t i = 0; i < input_rows_count; ++i) {
+            Int64 n = src_data[i];
+            if (n < 0 || n > 20) {
+                result_null_map_data[i] = 1;
+                result_data[i] = 0;
+            } else {
+                result_data[i] = FACT_TABLE[n];
+            }
+        }
+
+        block.replace_by_position(result, 
ColumnNullable::create(std::move(result_column),
+                                                                 
std::move(result_null_map)));
+
+        return Status::OK();
+    }
+};
+
 template <typename A>
 struct RadiansImpl {
     static constexpr PrimitiveType ResultType = 
ResultOfUnaryFunc<A>::ResultType;
@@ -859,6 +927,7 @@ void register_function_math(SimpleFunctionFactory& factory) 
{
     factory.register_alias("pow", "fpow");
     factory.register_function<FunctionExp>();
     factory.register_alias("exp", "dexp");
+    factory.register_function<FunctionFactorial>();
     factory.register_function<FunctionRadians>();
     factory.register_function<FunctionDegrees>();
     factory.register_function<FunctionBin>();
diff --git a/be/test/vec/function/function_math_test.cpp 
b/be/test/vec/function/function_math_test.cpp
index 6687145d34f..d28fd69be5a 100644
--- a/be/test/vec/function/function_math_test.cpp
+++ b/be/test/vec/function/function_math_test.cpp
@@ -911,4 +911,32 @@ TEST(MathFunctionTest, isinf_test) {
     }
 }
 
+TEST(MathFunctionTest, factorial_test) {
+    std::string func_name = "factorial"; // factorial(x), x ∈ [0, 20]
+
+    {
+        InputTypeSet input_types = {PrimitiveType::TYPE_BIGINT};
+
+        DataSet data_set = {{{BIGINT(0)}, BIGINT(1)},   {{BIGINT(1)}, 
BIGINT(1)},
+                            {{BIGINT(5)}, BIGINT(120)}, {{BIGINT(20)}, 
BIGINT(2432902008176640000)},
+                            {{BIGINT(21)}, Null()},     {{BIGINT(-1)}, Null()},
+                            {{Null()}, Null()}};
+
+        static_cast<void>(
+                check_function_all_arg_comb<DataTypeInt64, true>(func_name, 
input_types, data_set));
+    }
+
+    {
+        InputTypeSet input_types = {Consted {PrimitiveType::TYPE_BIGINT}};
+
+        DataSet data_set = {{{Null()}, Null()},         {{BIGINT(0)}, 
BIGINT(1)},
+                            {{BIGINT(5)}, BIGINT(120)}, {{BIGINT(20)}, 
BIGINT(2432902008176640000)},
+                            {{BIGINT(21)}, Null()},     {{BIGINT(-1)}, 
Null()}};
+
+        for (const auto& row : data_set) {
+            DataSet one = {row};
+            static_cast<void>(check_function<DataTypeInt64, true>(func_name, 
input_types, one));
+        }
+    }
+}
 } // namespace doris::vectorized
diff --git 
a/fe/fe-core/src/main/java/org/apache/doris/catalog/BuiltinScalarFunctions.java 
b/fe/fe-core/src/main/java/org/apache/doris/catalog/BuiltinScalarFunctions.java
index e8d234524ea..684cbd90fad 100644
--- 
a/fe/fe-core/src/main/java/org/apache/doris/catalog/BuiltinScalarFunctions.java
+++ 
b/fe/fe-core/src/main/java/org/apache/doris/catalog/BuiltinScalarFunctions.java
@@ -200,6 +200,7 @@ import 
org.apache.doris.nereids.trees.expressions.functions.scalar.Even;
 import org.apache.doris.nereids.trees.expressions.functions.scalar.Exp;
 import org.apache.doris.nereids.trees.expressions.functions.scalar.ExportSet;
 import 
org.apache.doris.nereids.trees.expressions.functions.scalar.ExtractUrlParameter;
+import org.apache.doris.nereids.trees.expressions.functions.scalar.Factorial;
 import org.apache.doris.nereids.trees.expressions.functions.scalar.Field;
 import org.apache.doris.nereids.trees.expressions.functions.scalar.FindInSet;
 import 
org.apache.doris.nereids.trees.expressions.functions.scalar.FirstSignificantSubdomain;
@@ -734,6 +735,7 @@ public class BuiltinScalarFunctions implements 
FunctionHelper {
             scalar(Exp.class, "exp"),
             scalar(ExportSet.class, "export_set"),
             scalar(ExtractUrlParameter.class, "extract_url_parameter"),
+            scalar(Factorial.class, "factorial"),
             scalar(Field.class, "field"),
             scalar(FindInSet.class, "find_in_set"),
             scalar(FirstSignificantSubdomain.class, 
"first_significant_subdomain"),
diff --git 
a/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/executable/NumericArithmetic.java
 
b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/executable/NumericArithmetic.java
index c68d2456ac8..82e55e81f6f 100644
--- 
a/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/executable/NumericArithmetic.java
+++ 
b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/executable/NumericArithmetic.java
@@ -33,6 +33,7 @@ import 
org.apache.doris.nereids.trees.expressions.literal.SmallIntLiteral;
 import org.apache.doris.nereids.trees.expressions.literal.StringLiteral;
 import org.apache.doris.nereids.trees.expressions.literal.TinyIntLiteral;
 import org.apache.doris.nereids.trees.expressions.literal.VarcharLiteral;
+import org.apache.doris.nereids.types.BigIntType;
 import org.apache.doris.nereids.types.DecimalV2Type;
 import org.apache.doris.nereids.types.DecimalV3Type;
 import org.apache.doris.nereids.types.DoubleType;
@@ -736,6 +737,18 @@ public class NumericArithmetic {
         return new DoubleLiteral(value);
     }
 
+    /**
+     * factorial
+     */
+    @ExecFunction(name = "factorial")
+    public static Expression factorial(BigIntLiteral first) {
+        long value = first.getValue();
+        if (value < 0 || value > 20) {
+            return new NullLiteral(BigIntType.INSTANCE);
+        }
+        return new BigIntLiteral(ArithmeticUtils.factorial((int) value));
+    }
+
     /**
      * gcd
      */
diff --git 
a/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/scalar/Factorial.java
 
b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/scalar/Factorial.java
new file mode 100644
index 00000000000..e2f0ba99771
--- /dev/null
+++ 
b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/functions/scalar/Factorial.java
@@ -0,0 +1,73 @@
+// Licensed to the Apache Software Foundation (ASF) under one
+// or more contributor license agreements.  See the NOTICE file
+// distributed with this work for additional information
+// regarding copyright ownership.  The ASF licenses this file
+// to you under the Apache License, Version 2.0 (the
+// "License"); you may not use this file except in compliance
+// with the License.  You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing,
+// software distributed under the License is distributed on an
+// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+// KIND, either express or implied.  See the License for the
+// specific language governing permissions and limitations
+// under the License.
+
+package org.apache.doris.nereids.trees.expressions.functions.scalar;
+
+import org.apache.doris.catalog.FunctionSignature;
+import org.apache.doris.nereids.trees.expressions.Expression;
+import org.apache.doris.nereids.trees.expressions.functions.AlwaysNullable;
+import 
org.apache.doris.nereids.trees.expressions.functions.ExplicitlyCastableSignature;
+import 
org.apache.doris.nereids.trees.expressions.functions.PropagateNullLiteral;
+import org.apache.doris.nereids.trees.expressions.shape.UnaryExpression;
+import org.apache.doris.nereids.trees.expressions.visitor.ExpressionVisitor;
+import org.apache.doris.nereids.types.BigIntType;
+
+import com.google.common.base.Preconditions;
+import com.google.common.collect.ImmutableList;
+
+import java.util.List;
+
+/**
+ * ScalarFunction Factorial
+ */
+public class Factorial extends ScalarFunction
+        implements UnaryExpression, ExplicitlyCastableSignature, 
AlwaysNullable, PropagateNullLiteral {
+    public static final List<FunctionSignature> SIGNATURES = ImmutableList.of(
+            
FunctionSignature.ret(BigIntType.INSTANCE).args(BigIntType.INSTANCE)
+    );
+
+    /**
+     * constructor with 1 argument.
+     */
+    public Factorial(Expression arg) {
+        super("factorial", arg);
+    }
+
+    /** constructor for withChildren and reuse signature */
+    private Factorial(ScalarFunctionParams functionParams) {
+        super(functionParams);
+    }
+
+    /**
+     * withChildren.
+     */
+    @Override
+    public Factorial withChildren(List<Expression> children) {
+        Preconditions.checkArgument(children.size() == 1);
+        return new Factorial(getFunctionParams(children));
+    }
+
+    @Override
+    public List<FunctionSignature> getSignatures() {
+        return SIGNATURES;
+    }
+
+    @Override
+    public <R, C> R accept(ExpressionVisitor<R, C> visitor, C context) {
+        return visitor.visitFactorial(this, context);
+    }
+}
diff --git 
a/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/visitor/ScalarFunctionVisitor.java
 
b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/visitor/ScalarFunctionVisitor.java
index 4727d9a773f..1ab526dc224 100644
--- 
a/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/visitor/ScalarFunctionVisitor.java
+++ 
b/fe/fe-core/src/main/java/org/apache/doris/nereids/trees/expressions/visitor/ScalarFunctionVisitor.java
@@ -211,6 +211,7 @@ import 
org.apache.doris.nereids.trees.expressions.functions.scalar.Even;
 import org.apache.doris.nereids.trees.expressions.functions.scalar.Exp;
 import org.apache.doris.nereids.trees.expressions.functions.scalar.ExportSet;
 import 
org.apache.doris.nereids.trees.expressions.functions.scalar.ExtractUrlParameter;
+import org.apache.doris.nereids.trees.expressions.functions.scalar.Factorial;
 import org.apache.doris.nereids.trees.expressions.functions.scalar.Field;
 import org.apache.doris.nereids.trees.expressions.functions.scalar.FindInSet;
 import 
org.apache.doris.nereids.trees.expressions.functions.scalar.FirstSignificantSubdomain;
@@ -1293,6 +1294,10 @@ public interface ScalarFunctionVisitor<R, C> {
         return visitScalarFunction(extractUrlParameter, context);
     }
 
+    default R visitFactorial(Factorial factorial, C context) {
+        return visitScalarFunction(factorial, context);
+    }
+
     default R visitField(Field field, C context) {
         return visitScalarFunction(field, context);
     }
diff --git 
a/regression-test/data/query_p0/sql_functions/math_functions/test_math_unary_always_nullable.out
 
b/regression-test/data/query_p0/sql_functions/math_functions/test_math_unary_always_nullable.out
index bb6cff5ec93..7af7d7d5729 100644
--- 
a/regression-test/data/query_p0/sql_functions/math_functions/test_math_unary_always_nullable.out
+++ 
b/regression-test/data/query_p0/sql_functions/math_functions/test_math_unary_always_nullable.out
@@ -89,6 +89,44 @@
 \N     true    8
 \N     true    9
 
+-- !factorial_1 --
+\N     true
+
+-- !factorial_2 --
+\N     true
+
+-- !factorial_3 --
+1      120     2432902008176640000
+
+-- !factorial_4 --
+\N     true    0
+\N     true    1
+\N     true    2
+\N     true    3
+\N     true    4
+\N     true    5
+\N     true    6
+\N     true    7
+\N     true    8
+\N     true    9
+
+-- !factorial_col_nullable --
+1      120
+2      1
+3      \N
+4      \N
+5      \N
+
+-- !factorial_col_not_nullable --
+1      120
+2      1
+3      \N
+4      \N
+5      3628800
+
+-- !factorial_literal_nullable_cast --
+120
+
 -- !acos_tbl_1 --
 1      \N      true
 2      \N      true
diff --git 
a/regression-test/suites/nereids_p0/expression/fold_constant/fold_constant_numeric_arithmatic.groovy
 
b/regression-test/suites/nereids_p0/expression/fold_constant/fold_constant_numeric_arithmatic.groovy
index 11cc05d342a..f17705460a9 100644
--- 
a/regression-test/suites/nereids_p0/expression/fold_constant/fold_constant_numeric_arithmatic.groovy
+++ 
b/regression-test/suites/nereids_p0/expression/fold_constant/fold_constant_numeric_arithmatic.groovy
@@ -295,6 +295,16 @@ suite("fold_constant_numeric_arithmatic") {
     testFoldConst("SELECT EXP(-709.782712893384)") // Near underflow boundary
     testFoldConst("SELECT EXP(1959859681)") // Result overflow become infinity
 
+//Factorial function cases
+    testFoldConst("SELECT FACTORIAL(5)") // common case
+    testFoldConst("SELECT FACTORIAL(0)") // boundary value 0
+    testFoldConst("SELECT FACTORIAL(1)") // boundary value 1
+    testFoldConst("SELECT FACTORIAL(20)") // boundary value 20
+    testFoldConst("SELECT FACTORIAL(-1)") // invalid input (negative)
+    testFoldConst("SELECT FACTORIAL(21)") // invalid input (overflow)
+    testFoldConst("SELECT FACTORIAL(NULL)") // NULL handling
+    testFoldConst("SELECT FACTORIAL(CAST(5 AS BIGINT))")
+
 //Floor function cases
     testFoldConst("SELECT FLOOR(3.7) AS floor_case_1")
     testFoldConst("SELECT FLOOR(-3.7) AS floor_case_2")
diff --git 
a/regression-test/suites/query_p0/sql_functions/math_functions/test_math_unary_always_nullable.groovy
 
b/regression-test/suites/query_p0/sql_functions/math_functions/test_math_unary_always_nullable.groovy
index a4ebd6647fa..4fb3bcac8b8 100644
--- 
a/regression-test/suites/query_p0/sql_functions/math_functions/test_math_unary_always_nullable.groovy
+++ 
b/regression-test/suites/query_p0/sql_functions/math_functions/test_math_unary_always_nullable.groovy
@@ -70,6 +70,49 @@ suite("test_math_unary_alway_nullable") {
         select sqrt(-1.1), sqrt(-1.1) is NULL, number from 
numbers("number"="10")
     """
 
+    qt_factorial_1 """
+        select factorial(-1), factorial(-1) is null;
+    """
+    qt_factorial_2 """
+        select factorial(21), factorial(21) is null;
+    """
+    qt_factorial_3 """
+        select factorial(0), factorial(5), factorial(20);
+    """
+    qt_factorial_4 """
+        select factorial(-1), factorial(-1) is NULL, number from 
numbers("number"="10")
+    """
+
+    sql "drop table if exists test_math_unary_alway_nullable"
+
+    sql """
+        create table if not exists test_math_unary_alway_nullable (
+            rowid int,
+            val_null BIGINT NULL,
+            val_not_null BIGINT NOT NULL
+        )
+        distributed by hash(rowid) properties("replication_num" = "1");
+    """
+
+    sql """
+        insert into test_math_unary_alway_nullable values
+        (1, 5, 5), (2, 0, 0), (3, -1, -1), (4, 21, 21), (5, NULL, 10);
+    """
+
+    qt_factorial_col_nullable """
+        select rowid, factorial(val_null) from test_math_unary_alway_nullable 
order by rowid;
+    """
+
+    qt_factorial_col_not_nullable """
+        select rowid, factorial(val_not_null) from 
test_math_unary_alway_nullable order by rowid;
+    """
+
+    qt_factorial_literal_nullable_cast """
+        select factorial(CAST(5 as BIGINT));
+    """
+
+    sql "drop table if exists test_math_unary_alway_nullable"
+
     sql "drop table if exists test_math_unary_alway_nullable"
 
     sql """


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