[Feature](function) Support function cross_product of DuckDB

docs/sql-manual/sql-functions/scalar-functions/array-functions/array-cross-product.md

@@ -0,0 +1,42 @@
+---
+{
+    "title": "CROSS_PRODUCT",
+    "language": "en"
+}
+---
+
+## Description
+
+Computes the cross product of two arrays of size 3.
+
+## Syntax
+
+```sql
+CROSS_PRODUCT(<array1>, <array2>)
+```
+
+## Parameters
+
+| Parameter | Description |
+| -- |--|
+| `<array1>` | The first vector, the subtype of the input array supports: TINYINT, SMALLINT, INT, BIGINT, LARGEINT, FLOAT, DOUBLE, the number of elements must be consistent with array2. Neither the array itself nor any of its elements can be NULL.|
+| `<array1>` | The second vector, the subtype of the input array supports: TINYINT, SMALLINT, INT, BIGINT, LARGEINT, FLOAT, DOUBLE, the number of elements must be consistent with array1. Neither the array itself nor any of its elements can be NULL.|
+
+## Return Value
+
+Returns the cross product of two arrays of size 3.
+
+## Examples
+
+```sql
+SELECT CROSS_PRODUCT([1, 2, 3], [2, 3, 4]), CROSS_PRODUCT([1, 0, 0], [0, 1, 0]);
+```
+
+```text
++-------------------------------------+-------------------------------------+
+| CROSS_PRODUCT([1, 2, 3], [2, 3, 4]) | CROSS_PRODUCT([1, 0, 0], [0, 1, 0]) |
++-------------------------------------+-------------------------------------+
+| [-1, 2, -1]                         | [0, 0, 1]                           |
++-------------------------------------+-------------------------------------+
+```
+

i18n/zh-CN/docusaurus-plugin-content-docs/current/sql-manual/sql-functions/scalar-functions/array-functions/array-cross-product.md

@@ -0,0 +1,41 @@
+---
+{
+    "title": "CROSS_PRODUCT",
+    "language": "zh-CN"
+}
+---
+
+## 描述
+
+计算两个三维向量的叉积
+
+## 语法
+
+```sql
+CROSS_PRODUCT(<array1>, <array2>)
+```
+
+## 参数
+
+| 参数 | 说明 |
+| -- |--|
+| `<array1>` | 第一个向量，输入数组的子类型支持：TINYINT、SMALLINT、INT、BIGINT、LARGEINT、FLOAT、DOUBLE，元素数量需与 array2 保持一致，数组本身与数组元素均不允许为NULL|
+| `<array2>` | 第二个向量，输入数组的子类型支持：TINYINT、SMALLINT、INT、BIGINT、LARGEINT、FLOAT、DOUBLE，元素数量需与 array1 保持一致，数组本身与数组元素均不允许为NULL|
+
+## 返回值
+
+返回两个三维向量的叉积。
+
+## 举例
+
+```sql
+SELECT CROSS_PRODUCT([1, 2, 3], [2, 3, 4]), CROSS_PRODUCT([1, 0, 0], [0, 1, 0]);
+```
+
+```text
++-------------------------------------+-------------------------------------+
+| CROSS_PRODUCT([1, 2, 3], [2, 3, 4]) | CROSS_PRODUCT([1, 0, 0], [0, 1, 0]) |
++-------------------------------------+-------------------------------------+
+| [-1, 2, -1]                         | [0, 0, 1]                           |
++-------------------------------------+-------------------------------------+
+```

i18n/zh-CN/docusaurus-plugin-content-docs/version-4.x/sql-manual/sql-functions/scalar-functions/array-functions/array-cross-product.md

@@ -0,0 +1,41 @@
+---
+{
+    "title": "CROSS_PRODUCT",
+    "language": "zh-CN"
+}
+---
+
+## 描述
+
+计算两个三维向量的叉积
+
+## 语法
+
+```sql
+CROSS_PRODUCT(<array1>, <array2>)
+```
+
+## 参数
+
+| 参数 | 说明 |
+| -- |--|
+| `<array1>` | 第一个向量，输入数组的子类型支持：TINYINT、SMALLINT、INT、BIGINT、LARGEINT、FLOAT、DOUBLE，元素数量需与 array2 保持一致，数组本身与数组元素均不允许为NULL|
+| `<array2>` | 第二个向量，输入数组的子类型支持：TINYINT、SMALLINT、INT、BIGINT、LARGEINT、FLOAT、DOUBLE，元素数量需与 array1 保持一致，数组本身与数组元素均不允许为NULL|
+
+## 返回值
+
+返回两个三维向量的叉积。
+
+## 举例
+
+```sql
+SELECT CROSS_PRODUCT([1, 2, 3], [2, 3, 4]), CROSS_PRODUCT([1, 0, 0], [0, 1, 0]);
+```
+
+```text
++-------------------------------------+-------------------------------------+
+| CROSS_PRODUCT([1, 2, 3], [2, 3, 4]) | CROSS_PRODUCT([1, 0, 0], [0, 1, 0]) |
++-------------------------------------+-------------------------------------+
+| [-1, 2, -1]                         | [0, 0, 1]                           |
++-------------------------------------+-------------------------------------+
+```

sidebars.ts

@@ -1553,6 +1553,7 @@ const sidebars: SidebarsConfig = {
                                         'sql-manual/sql-functions/scalar-functions/array-functions/array-contains',
                                         'sql-manual/sql-functions/scalar-functions/array-functions/array-contains_all',
                                         'sql-manual/sql-functions/scalar-functions/array-functions/array-count',
+                                        'sql-manual/sql-functions/scalar-functions/array-functions/array-cross-product',
                                         'sql-manual/sql-functions/scalar-functions/array-functions/array-cum-sum',
                                         'sql-manual/sql-functions/scalar-functions/array-functions/array-difference',
                                         'sql-manual/sql-functions/scalar-functions/array-functions/array-distinct',

versioned_docs/version-4.x/sql-manual/sql-functions/scalar-functions/array-functions/array-cross-product.md

@@ -0,0 +1,42 @@
+---
+{
+    "title": "CROSS_PRODUCT",
+    "language": "en"
+}
+---
+
+## Description
+
+Computes the cross product of two arrays of size 3.
+
+## Syntax
+
+```sql
+CROSS_PRODUCT(<array1>, <array2>)
+```
+
+## Parameters
+
+| Parameter | Description |
+| -- |--|
+| `<array1>` | The first vector, the subtype of the input array supports: TINYINT, SMALLINT, INT, BIGINT, LARGEINT, FLOAT, DOUBLE, the number of elements must be consistent with array2. Neither the array itself nor any of its elements can be NULL.|
+| `<array1>` | The second vector, the subtype of the input array supports: TINYINT, SMALLINT, INT, BIGINT, LARGEINT, FLOAT, DOUBLE, the number of elements must be consistent with array1. Neither the array itself nor any of its elements can be NULL.|
+
+## Return Value
+
+Returns the cross product of two arrays of size 3.
+
+## Examples
+
+```sql
+SELECT CROSS_PRODUCT([1, 2, 3], [2, 3, 4]), CROSS_PRODUCT([1, 0, 0], [0, 1, 0]);
+```
+
+```text
++-------------------------------------+-------------------------------------+
+| CROSS_PRODUCT([1, 2, 3], [2, 3, 4]) | CROSS_PRODUCT([1, 0, 0], [0, 1, 0]) |
++-------------------------------------+-------------------------------------+
+| [-1, 2, -1]                         | [0, 0, 1]                           |
++-------------------------------------+-------------------------------------+
+```
+

versioned_sidebars/version-4.x-sidebars.json

@@ -1573,6 +1573,7 @@
                                         "sql-manual/sql-functions/scalar-functions/array-functions/array-contains",
                                         "sql-manual/sql-functions/scalar-functions/array-functions/array-contains_all",
                                         "sql-manual/sql-functions/scalar-functions/array-functions/array-count",
+                                        "sql-manual/sql-functions/scalar-functions/array-functions/array-cross-product",
                                         "sql-manual/sql-functions/scalar-functions/array-functions/array-cum-sum",
                                         "sql-manual/sql-functions/scalar-functions/array-functions/array-difference",
                                         "sql-manual/sql-functions/scalar-functions/array-functions/array-distinct",