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207 changes: 207 additions & 0 deletions datafusion/functions-nested/src/array_normalize.rs
Original file line number Diff line number Diff line change
@@ -0,0 +1,207 @@
// 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.

//! [`ScalarUDFImpl`] definitions for array_normalize function.

use crate::utils::make_scalar_function;
use arrow::array::{Array, ArrayRef, Float64Array, GenericListArray, OffsetSizeTrait};
use arrow::buffer::{NullBuffer, OffsetBuffer};
use arrow::datatypes::{
DataType,
DataType::{FixedSizeList, LargeList, List, Null},
Field,
};
use datafusion_common::cast::{as_float64_array, as_generic_list_array};
use datafusion_common::utils::{ListCoercion, coerced_type_with_base_type_only};
use datafusion_common::{Result, internal_err, plan_err, utils::take_function_args};
use datafusion_expr::{
ColumnarValue, Documentation, ScalarFunctionArgs, ScalarUDFImpl, Signature,
Volatility,
};
use datafusion_macros::user_doc;
use std::sync::Arc;

make_udf_expr_and_func!(
ArrayNormalize,
array_normalize,
array,
"returns the L2-normalized vector for a numeric array.",
array_normalize_udf
);

#[user_doc(
doc_section(label = "Array Functions"),
description = "Returns the L2-normalized vector for the input numeric array, computed as `array[i] / sqrt(sum(array[i]^2))` per element. Returns NULL if the input is NULL, contains NULL elements, or has zero magnitude (all elements are zero). Returns an empty array for an empty input array.",
syntax_example = "array_normalize(array)",
sql_example = r#"```sql
> select array_normalize([3.0, 4.0]);
+-----------------------------+
| array_normalize(List([3.0,4.0])) |
+-----------------------------+
| [0.6, 0.8] |
+-----------------------------+
```"#,
argument(
name = "array",
description = "Array expression. Can be a constant, column, or function, and any combination of array operators."
)
)]
#[derive(Debug, PartialEq, Eq, Hash)]
pub struct ArrayNormalize {
signature: Signature,
aliases: Vec<String>,
}

impl Default for ArrayNormalize {
fn default() -> Self {
Self::new()
}
}

impl ArrayNormalize {
pub fn new() -> Self {
Self {
signature: Signature::user_defined(Volatility::Immutable),
aliases: vec!["list_normalize".to_string()],
}
}
}

impl ScalarUDFImpl for ArrayNormalize {
fn name(&self) -> &str {
"array_normalize"
}

fn signature(&self) -> &Signature {
&self.signature
}

fn return_type(&self, arg_types: &[DataType]) -> Result<DataType> {
// After `coerce_types`, `arg_types[0]` is one of List(Float64) or LargeList(Float64).
Ok(arg_types[0].clone())
}

fn coerce_types(&self, arg_types: &[DataType]) -> Result<Vec<DataType>> {
let [arg_type] = take_function_args(self.name(), arg_types)?;
let coercion = Some(&ListCoercion::FixedSizedListToList);

if !matches!(arg_type, Null | List(_) | LargeList(_) | FixedSizeList(..)) {
return plan_err!("{} does not support type {arg_type}", self.name());
}

let coerced = if matches!(arg_type, Null) {
List(Arc::new(Field::new_list_field(DataType::Float64, true)))
} else {
coerced_type_with_base_type_only(arg_type, &DataType::Float64, coercion)
};

Ok(vec![coerced])
}

fn invoke_with_args(&self, args: ScalarFunctionArgs) -> Result<ColumnarValue> {
make_scalar_function(array_normalize_inner)(&args.args)
}

fn aliases(&self) -> &[String] {
&self.aliases
}

fn documentation(&self) -> Option<&Documentation> {
self.doc()
}
}

fn array_normalize_inner(args: &[ArrayRef]) -> Result<ArrayRef> {
let [array] = take_function_args("array_normalize", args)?;
match array.data_type() {
List(_) => general_array_normalize::<i32>(args),
LargeList(_) => general_array_normalize::<i64>(args),
arg_type => internal_err!(
"array_normalize received unexpected type after coercion: {arg_type}"
),
}
}

fn general_array_normalize<O: OffsetSizeTrait>(arrays: &[ArrayRef]) -> Result<ArrayRef> {
let list_array = as_generic_list_array::<O>(&arrays[0])?;
let values = as_float64_array(list_array.values())?;
let offsets = list_array.value_offsets();

let mut new_values: Vec<f64> = Vec::with_capacity(values.len());
let mut new_offsets: Vec<O> = Vec::with_capacity(list_array.len() + 1);
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I think it might be simpler to use OffsetBufferBuilder here

new_offsets.push(O::usize_as(0));
let mut validity: Vec<bool> = Vec::with_capacity(list_array.len());
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Use NullBufferBuilder here instead. One benefit is when finishing it, it may output None if there are no nulls (currently we always provide a null buffer even if there are no nulls)


for row in 0..list_array.len() {
if list_array.is_null(row) {
new_offsets.push(*new_offsets.last().unwrap());
validity.push(false);
continue;
}

let start = offsets[row].as_usize();
let end = offsets[row + 1].as_usize();
let len = end - start;

let slice = values.slice(start, len);
if slice.null_count() != 0 {
new_offsets.push(*new_offsets.last().unwrap());
validity.push(false);
continue;
}

let vals = slice.values();

// Empty array: return empty array (no normalization needed, no division by zero risk)
if len == 0 {
new_offsets.push(*new_offsets.last().unwrap());
validity.push(true);
continue;
}

// Compute squared magnitude.
let mut sq_sum = 0.0;
for i in 0..len {
sq_sum += vals[i] * vals[i];
}

// Zero magnitude: undefined normalization. Emit NULL row.
if sq_sum == 0.0 {
new_offsets.push(*new_offsets.last().unwrap());
validity.push(false);
continue;
}

let mag = sq_sum.sqrt();
for i in 0..len {
new_values.push(vals[i] / mag);
}
new_offsets.push(*new_offsets.last().unwrap() + O::usize_as(len));
validity.push(true);
}

let values_array = Arc::new(Float64Array::from(new_values));
let nulls = NullBuffer::from(validity);
let field = Arc::new(Field::new_list_field(DataType::Float64, true));

Ok(Arc::new(GenericListArray::<O>::try_new(
field,
OffsetBuffer::<O>::new(new_offsets.into()),
values_array,
Some(nulls),
)?))
}
3 changes: 3 additions & 0 deletions datafusion/functions-nested/src/lib.rs
Original file line number Diff line number Diff line change
Expand Up @@ -43,6 +43,7 @@ pub mod macros_lambda;
pub mod array_any_match;
pub mod array_compact;
pub mod array_has;
pub mod array_normalize;
pub mod array_transform;
pub mod arrays_zip;
pub mod cardinality;
Expand Down Expand Up @@ -90,6 +91,7 @@ pub mod expr_fn {
pub use super::array_has::array_has;
pub use super::array_has::array_has_all;
pub use super::array_has::array_has_any;
pub use super::array_normalize::array_normalize;
pub use super::array_transform::array_transform;
pub use super::arrays_zip::arrays_zip;
pub use super::cardinality::cardinality;
Expand Down Expand Up @@ -164,6 +166,7 @@ pub fn all_default_nested_functions() -> Vec<Arc<ScalarUDF>> {
array_has::array_has_any_udf(),
empty::array_empty_udf(),
length::array_length_udf(),
array_normalize::array_normalize_udf(),
cosine_distance::cosine_distance_udf(),
inner_product::inner_product_udf(),
distance::array_distance_udf(),
Expand Down
146 changes: 146 additions & 0 deletions datafusion/sqllogictest/test_files/array_normalize.slt
Original file line number Diff line number Diff line change
@@ -0,0 +1,146 @@
# 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.

## array_normalize

# 3-4-5 right triangle: [3,4] / 5 = [0.6, 0.8]
query ?
select array_normalize([3.0, 4.0]);
----
[0.6, 0.8]

# Already-unit vector along axis: [1,0] -> [1,0]
query ?
select array_normalize([1.0, 0.0]);
----
[1.0, 0.0]

# 3D vector: [1,2,2] / 3 = [0.333..., 0.666..., 0.666...]
query ?
select array_normalize([1.0, 2.0, 2.0]);
----
[0.3333333333333333, 0.6666666666666666, 0.6666666666666666]

# Negative components preserved
query ?
select array_normalize([-3.0, 4.0]);
----
[-0.6, 0.8]

# Bare NULL input returns NULL
query ?
select array_normalize(NULL);
----
NULL

# NULL element inside a list returns NULL for that row
query ?
select array_normalize([1.0, NULL, 2.0]);
----
NULL

# Zero vector returns NULL (undefined normalization)
query ?
select array_normalize([0.0, 0.0]);
----
NULL

# Single non-zero component: [5] -> [1]
query ?
select array_normalize([5.0]);
----
[1.0]

# LargeList support
query ?
select array_normalize(arrow_cast([3.0, 4.0], 'LargeList(Float64)'));
----
[0.6, 0.8]

# FixedSizeList input (coerced to List)
query ?
select array_normalize(arrow_cast([3.0, 4.0], 'FixedSizeList(2, Float64)'));
----
[0.6, 0.8]

# Float32 inner type (coerced to Float64)
query ?
select array_normalize(arrow_cast([3.0, 4.0], 'List(Float32)'));
----
[0.6, 0.8]

# Int64 inner type (coerced to Float64)
query ?
select array_normalize(arrow_cast([3, 4], 'List(Int64)'));
----
[0.6, 0.8]

# Integer literals (coerced to Float64)
query ?
select array_normalize([3, 4]);
----
[0.6, 0.8]

# Unsupported non-list input (plan error)
query error array_normalize does not support type
select array_normalize(1);

# Multi-row query: normal row, NULL row, zero-vector row, NULL-element row
query ?
select array_normalize(column1) from (values
(make_array(3.0, 4.0)),
(NULL),
(make_array(0.0, 0.0)),
(make_array(1.0, NULL))
) as t(column1);
----
[0.6, 0.8]
NULL
NULL
NULL

# Empty array: returns empty array (no normalization needed, no division by zero)
query ?
select array_normalize(arrow_cast(make_array(), 'List(Float64)'));
----
[]

# No arguments error
query error array_normalize function requires 1 argument, got 0
select array_normalize();

# Return type matches input variant (List of Float64)
query ?T
select array_normalize([3.0, 4.0]), arrow_typeof(array_normalize([3.0, 4.0]));
----
[0.6, 0.8] List(Float64)

# list_normalize alias produces the same result
query ?
select list_normalize([3.0, 4.0]);
----
[0.6, 0.8]

# list_normalize alias multi-row with NULL row
query ?
select list_normalize(column1) from (values
(make_array(3.0, 4.0)),
(NULL)
) as t(column1);
----
[0.6, 0.8]
NULL
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