xy720 commented on code in PR #23129:
URL: https://github.com/apache/doris/pull/23129#discussion_r1301287994


##########
docs/zh-CN/docs/sql-manual/sql-functions/distance-functions/cosine_distance.md:
##########
@@ -0,0 +1,48 @@
+---
+{
+    "title": "cosine_distance",
+    "language": "zh-CN"
+}
+---
+
+<!-- 
+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.
+-->
+
+## cosine_distance
+
+### description
+#### Syntax
+
+```sql
+DOUBLE cosine_distance(vector1, vector2)

Review Comment:
   add which type these function support, may be array<float/double> ?



##########
gensrc/script/doris_builtins_functions.py:
##########
@@ -114,6 +114,38 @@
 
         [['element_at', '%element_extract%'], 'T', ['ARRAY<T>', 'BIGINT'], 
'ALWAYS_NULLABLE', ['T']],
 
+        [['l1_distance'], 'DOUBLE', ['ARRAY_TINYINT', 'ARRAY_TINYINT'], 
'ALWAYS_NULLABLE'],

Review Comment:
   May be we should only support `array<float>` and `array<double>`, and 
convert other type to these two type?



##########
docs/zh-CN/docs/sql-manual/sql-functions/distance-functions/inner_product.md:
##########
@@ -0,0 +1,48 @@
+---
+{
+    "title": "inner_product",
+    "language": "zh-CN"
+}
+---
+
+<!-- 
+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.
+-->
+
+## inner_product
+
+### description
+#### Syntax
+
+```sql
+DOUBLE inner_product(vector1, vector2)
+```
+
+计算两个大小相同的向量的标量积
+
+### example
+
+```
+sql> SELECT cosine_distance([1, 2], [2, 3]);

Review Comment:
   ```suggestion
   sql> SELECT inner_product([1, 2], [2, 3]);
   ```



##########
docs/en/docs/sql-manual/sql-functions/distance-functions/l2_distance.md:
##########
@@ -0,0 +1,48 @@
+---
+{
+    "title": "l2_distance",
+    "language": "en"
+}
+---
+
+<!-- 
+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.
+-->
+
+## l2_distance
+
+### description
+#### Syntax
+
+```sql
+DOUBLE l2_distance(vector1, vector2)

Review Comment:
   1、Inform that the two array parameters must have the same column size and 
element size.
   2、Inform that how to process null element in array.



##########
docs/en/docs/sql-manual/sql-functions/distance-functions/l2_distance.md:
##########
@@ -0,0 +1,48 @@
+---
+{
+    "title": "l2_distance",
+    "language": "en"
+}
+---
+
+<!-- 
+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.
+-->
+
+## l2_distance
+
+### description
+#### Syntax
+
+```sql
+DOUBLE l2_distance(vector1, vector2)

Review Comment:
   1、Inform that the two array parameters must have the same column size and 
element size.
   2、Inform that how to process null element in array.



##########
be/src/vec/functions/array/function_array_distance.h:
##########
@@ -0,0 +1,186 @@
+// 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.
+
+#pragma once
+
+#include "vec/columns/column.h"
+#include "vec/columns/column_array.h"
+#include "vec/core/types.h"
+#include "vec/data_types/data_type.h"
+#include "vec/data_types/data_type_array.h"
+#include "vec/data_types/data_type_nullable.h"
+#include "vec/data_types/data_type_number.h"
+#include "vec/functions/array/function_array_utils.h"
+#include "vec/functions/function.h"
+#include "vec/utils/util.hpp"
+
+namespace doris::vectorized {
+
+class L1Distance {
+public:
+    static constexpr auto name = "l1_distance";
+    struct State {
+        double sum = 0;
+    };
+    static void accumulate(State& state, double x, double y) { state.sum += 
fabs(x - y); }
+    static double finalize(const State& state) { return state.sum; }
+};
+
+class L2Distance {
+public:
+    static constexpr auto name = "l2_distance";
+    struct State {
+        double sum = 0;
+    };
+    static void accumulate(State& state, double x, double y) { state.sum += (x 
- y) * (x - y); }
+    static double finalize(const State& state) { return sqrt(state.sum); }
+};
+
+class InnerProduct {
+public:
+    static constexpr auto name = "inner_product";
+    struct State {
+        double sum = 0;
+    };
+    static void accumulate(State& state, double x, double y) { state.sum += x 
* y; }
+    static double finalize(const State& state) { return state.sum; }
+};
+
+class CosineDistance {
+public:
+    static constexpr auto name = "cosine_distance";
+    struct State {
+        double dot_prod = 0;
+        double squared_x = 0;
+        double squared_y = 0;
+    };
+    static void accumulate(State& state, double x, double y) {
+        state.dot_prod += x * y;
+        state.squared_x += x * x;
+        state.squared_y += y * y;
+    }
+    static double finalize(const State& state) {
+        return 1 - state.dot_prod / sqrt(state.squared_x * state.squared_y);
+    }
+};
+
+template <typename DistanceImpl>
+class FunctionArrayDistance : public IFunction {
+public:
+    static constexpr auto name = DistanceImpl::name;
+    String get_name() const override { return name; }
+    static FunctionPtr create() { return 
std::make_shared<FunctionArrayDistance<DistanceImpl>>(); }
+    bool is_variadic() const override { return false; }
+    size_t get_number_of_arguments() const override { return 2; }
+    bool use_default_implementation_for_nulls() const override { return false; 
}
+
+    DataTypePtr get_return_type_impl(const DataTypes& arguments) const 
override {
+        return make_nullable(std::make_shared<DataTypeFloat64>());
+    }
+
+    Status execute_impl(FunctionContext* context, Block& block, const 
ColumnNumbers& arguments,
+                        size_t result, size_t input_rows_count) override {
+        const auto& arg1 = block.get_by_position(arguments[0]);
+        const auto& arg2 = block.get_by_position(arguments[1]);
+        if (_check_input_type(arg1.type) || _check_input_type(arg2.type)) {
+            return Status::RuntimeError(fmt::format("unsupported types for 
function {}({}, {})",
+                                                    get_name(), 
arg1.type->get_name(),
+                                                    arg2.type->get_name()));
+        }
+
+        auto col1 = arg1.column->convert_to_full_column_if_const();
+        auto col2 = arg2.column->convert_to_full_column_if_const();
+        if (col1->size() != col2->size()) {
+            return Status::RuntimeError(
+                    fmt::format("function {} have different input array sizes: 
{} and {}",
+                                get_name(), col1->size(), col2->size()));
+        }
+
+        ColumnArrayExecutionData arr1;
+        ColumnArrayExecutionData arr2;
+        if (!extract_column_array_info(*col1, arr1) || 
!extract_column_array_info(*col2, arr2)) {
+            return Status::RuntimeError(fmt::format("unsupported types for 
function {}({}, {})",
+                                                    get_name(), 
arg1.type->get_name(),
+                                                    arg2.type->get_name()));
+        }
+
+        // prepare return data
+        auto dst = ColumnVector<Float64>::create(input_rows_count);
+        auto& dst_data = dst->get_data();
+        auto dst_null_column = ColumnUInt8::create(input_rows_count);
+        auto& dst_null_data = dst_null_column->get_data();
+
+        const auto& offsets1 = *arr1.offsets_ptr;
+        const auto& offsets2 = *arr2.offsets_ptr;
+        const auto& nested_col1 = arr1.nested_col;
+        const auto& nested_col2 = arr2.nested_col;
+        for (ssize_t row = 0; row < offsets1.size(); ++row) {
+            if (arr1.array_nullmap_data && arr1.array_nullmap_data[row]) {
+                dst_null_data[row] = true;
+                continue;
+            }
+            if (arr2.array_nullmap_data && arr2.array_nullmap_data[row]) {
+                dst_null_data[row] = true;
+                continue;
+            }
+
+            dst_null_data[row] = false;
+            if (offsets1[row] != offsets2[row]) [[unlikely]] {
+                return Status::RuntimeError(fmt::format(
+                        "function {} have different input element sizes of 
array: {} and {}",
+                        get_name(), offsets1[row] - offsets1[row - 1],
+                        offsets2[row] - offsets2[row - 1]));
+            }
+
+            typename DistanceImpl::State st;
+            for (ssize_t pos = offsets1[row - 1]; pos < offsets1[row]; ++pos) {
+                if (arr1.nested_nullmap_data && arr1.nested_nullmap_data[pos]) 
{
+                    dst_null_data[row] = true;
+                    break;
+                }
+                if (arr2.nested_nullmap_data && arr2.nested_nullmap_data[pos]) 
{
+                    dst_null_data[row] = true;
+                    break;
+                }
+                DistanceImpl::accumulate(st, nested_col1->get_float64(pos),
+                                         nested_col2->get_float64(pos));
+            }
+            if (!dst_null_data[row]) {
+                dst_data[row] = DistanceImpl::finalize(st);
+            }
+        }
+
+        block.replace_by_position(
+                result, ColumnNullable::create(std::move(dst), 
std::move(dst_null_column)));
+        return Status::OK();
+    }
+
+private:
+    bool _check_input_type(const DataTypePtr& type) {
+        if (!is_array(type)) {
+            return false;
+        }
+        auto nested_type =
+                remove_nullable(assert_cast<const 
DataTypeArray&>(*type).get_nested_type());
+        if (is_integer(type) || is_float(type)) {

Review Comment:
   ```suggestion
           if (is_integer(nested_type) || is_float(nested_type)) {
   ```



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