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Array Functions

All `LIST` functions work with the `ARRAY` data type. Additionally, several `ARRAY`-native functions are also supported.

## Array-Native Functions

Function | Description
--- | ---
`array_value(index)` | Create an `ARRAY` containing the argument values.
`array_cross_product(array1, array2)` | Compute the cross product of two arrays of size 3. The array elements can not be `NULL`.
`array_cosine_similarity(array1, array2)` | Compute the cosine similarity between two arrays of the same size. The array elements can not be `NULL`. The arrays can have any size as long as the size is the same for both arguments.
`array_cosine_distance(array1, array2)` | Compute the cosine distance between two arrays of the same size. The array elements can not be `NULL`. The arrays can have any size as long as the size is the same for both arguments. This is equivalent to `1.0 - array_cosine_similarity`
`array_distance(array1, array2)` | Compute the distance between two arrays of the same size. The array elements can not be `NULL`. The arrays can have any size as long as the size is the same for both arguments.
`array_inner_product(array1, array2)` | Compute the inner product between two arrays of the same size. The array elements can not be `NULL`. The arrays can have any size as long as the size is the same for both arguments.
`array_negative_inner_product(array1, array2)` | Compute the negative inner product between two arrays of the same size. The array elements can not be `NULL`. The arrays can have any size as long as the size is the same for both arguments. This is equivalent to `-array_inner_product`
`array_dot_product(array1, array2)` | Alias for `array_inner_product(array1, array2)`.
`array_negative_dot_product(array1, array2)` | Alias for `array_negative_inner_product(array1, array2)`.

#### `array_value(index)`

Description | Create an `ARRAY` containing the argument values.
Example | `array_value(1.0::FLOAT, 2.0::FLOAT, 3.0::FLOAT)`
Result | `[1.0, 2.0, 3.0]`

#### `array_cross_product(array1, array2)`

Description | Compute the cross product of two arrays of size 3. The array elements can not be `NULL`.
Example | `array_cross_product(array_value(1.0::FLOAT, 2.0::FLOAT, 3.0::FLOAT), array_value(2.0::FLOAT, 3.0::FLOAT, 4.0::FLOAT))`
Result | `[-1.0, 2.0, -1.0]`

#### `array_cosine_similarity(array1, array2)`

Description | Compute the cosine similarity between two arrays of the same size. The array elements can not be `NULL`. The arrays can have any size as long as the size is the same for both arguments.
Example | `array_cosine_similarity(array_value(1.0::FLOAT, 2.0::FLOAT, 3.0::FLOAT), array_value(2.0::FLOAT, 3.0::FLOAT, 4.0::FLOAT))`
Result | `0.9925833`

#### `array_cosine_distance(array1, array2)`

Description | Compute the cosine distance between two arrays of the same size. The array elements can not be `NULL`. The arrays can have any size as long as the size is the same for both arguments. This is equivalent to `1.0 - array_cosine_similarity`.
Example | `array_cosine_distance(array_value(1.0::FLOAT, 2.0::FLOAT, 3.0::FLOAT), array_value(2.0::FLOAT, 3.0::FLOAT, 4.0::FLOAT))`
Result | `0.007416606`

#### `array_distance(array1, array2)`

Description | Compute the distance between two arrays of the same size. The array elements can not be `NULL`. The arrays can have any size as long as the size is the same for both arguments.
Example | `array_distance(array_value(1.0::FLOAT, 2.0::FLOAT, 3.0::FLOAT), array_value(2.0::FLOAT, 3.0::FLOAT, 4.0::FLOAT))`
Result | `1.7320508`

#### `array_inner_product(array1, array2)`

Description | Compute the inner product between two arrays of the same size. The array elements can not be `NULL`. The arrays can have any size as long as the size is the same for both arguments.
Example | `array_inner_product(array_value(1.0::FLOAT, 2.0::FLOAT, 3.0::FLOAT), array_value(2.0::FLOAT, 3.0::FLOAT, 4.0::FLOAT))`
Result | `20.0`

#### `array_negative_inner_product(array1, array2)`

Description | Compute the negative inner product between two arrays of the same size. The array elements can not be `NULL`. The arrays can have any size as long as the size is the same for both arguments. This is equivalent to `-array_inner_product`
Example | `array_inner_product(array_value(1.0::FLOAT, 2.0::FLOAT, 3.0::FLOAT), array_value(2.0::FLOAT, 3.0::FLOAT, 4.0::FLOAT))`
Result | `-20.0`

#### `array_dot_product(array1, array2)`

Description | Alias for `array_inner_product(array1, array2)`.
Example | `array_dot_product(l1, l2)`
Result | `20.0`

#### `array_negative_dot_product(array1, array2)`

Description | Alias for `array_negative_inner_product(array1, array2)`.
Example | `array_negative_dot_product(l1, l2)`
Result | `-20.0`

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