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322 changes: 322 additions & 0 deletions datafusion/functions-nested/src/cosine_distance.rs
Original file line number Diff line number Diff line change
@@ -0,0 +1,322 @@
// 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 cosine_distance function.

use crate::utils::make_scalar_function;
use crate::vector_math::{convert_to_f64_array, dot_product_f64, magnitude_f64};
use arrow::array::{
Array, ArrayRef, Float64Array, LargeListArray, ListArray, OffsetSizeTrait,
};
use arrow::datatypes::{
DataType,
DataType::{FixedSizeList, LargeList, List, Null},
};
use datafusion_common::cast::as_generic_list_array;
use datafusion_common::utils::{ListCoercion, coerced_type_with_base_type_only};
use datafusion_common::{Result, exec_err, plan_err, utils::take_function_args};
use datafusion_expr::{
ColumnarValue, Documentation, ScalarFunctionArgs, ScalarUDFImpl, Signature,
Volatility,
};
use datafusion_functions::downcast_arg;
use datafusion_macros::user_doc;
use itertools::Itertools;
use std::sync::Arc;

make_udf_expr_and_func!(
CosineDistance,
cosine_distance,
array1 array2,
"returns the cosine distance between two numeric arrays.",
cosine_distance_udf
);

#[user_doc(
doc_section(label = "Array Functions"),
description = "Returns the cosine distance between two input arrays of equal length. The cosine distance is defined as 1 - cosine_similarity, i.e. `1 - dot(a,b) / (||a|| * ||b||)`. Returns NULL if either array is NULL or contains only zeros.",
syntax_example = "cosine_distance(array1, array2)",
sql_example = r#"```sql
> select cosine_distance([1.0, 0.0], [0.0, 1.0]);
+-----------------------------------------------+
| cosine_distance(List([1.0,0.0]),List([0.0,1.0])) |
+-----------------------------------------------+
| 1.0 |
+-----------------------------------------------+
```"#,
argument(
name = "array1",
description = "Array expression. Can be a constant, column, or function, and any combination of array operators."
),
argument(
name = "array2",
description = "Array expression. Can be a constant, column, or function, and any combination of array operators."
)
)]
#[derive(Debug, PartialEq, Eq, Hash)]
pub struct CosineDistance {
signature: Signature,
aliases: Vec<String>,
}

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

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

impl ScalarUDFImpl for CosineDistance {
fn name(&self) -> &str {
"cosine_distance"
}

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

fn return_type(&self, _arg_types: &[DataType]) -> Result<DataType> {
Ok(DataType::Float64)
}

fn coerce_types(&self, arg_types: &[DataType]) -> Result<Vec<DataType>> {
let [_, _] = take_function_args(self.name(), arg_types)?;
let coercion = Some(&ListCoercion::FixedSizedListToList);
let arg_types = arg_types.iter().map(|arg_type| {
if matches!(arg_type, Null | List(_) | LargeList(_) | FixedSizeList(..)) {
Ok(coerced_type_with_base_type_only(
arg_type,
&DataType::Float64,
coercion,
))
} else {
plan_err!("{} does not support type {arg_type}", self.name())
}
});

arg_types.try_collect()
}

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

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

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

fn cosine_distance_inner(args: &[ArrayRef]) -> Result<ArrayRef> {
let [array1, array2] = take_function_args("cosine_distance", args)?;
match (array1.data_type(), array2.data_type()) {
(List(_), List(_)) => general_cosine_distance::<i32>(args),
(LargeList(_), LargeList(_)) => general_cosine_distance::<i64>(args),
(arg_type1, arg_type2) => {
exec_err!(
"cosine_distance does not support types {arg_type1} and {arg_type2}"
)
}
}
}

fn general_cosine_distance<O: OffsetSizeTrait>(arrays: &[ArrayRef]) -> Result<ArrayRef> {
let list_array1 = as_generic_list_array::<O>(&arrays[0])?;
let list_array2 = as_generic_list_array::<O>(&arrays[1])?;

let result = list_array1
.iter()
.zip(list_array2.iter())
.map(|(arr1, arr2)| compute_cosine_distance(arr1, arr2))
.collect::<Result<Float64Array>>()?;

Ok(Arc::new(result) as ArrayRef)
}

/// Computes the cosine distance between two arrays: 1 - dot(a,b) / (||a|| * ||b||)
fn compute_cosine_distance(
arr1: Option<ArrayRef>,
arr2: Option<ArrayRef>,
) -> Result<Option<f64>> {
let value1 = match arr1 {
Some(arr) => arr,
None => return Ok(None),
};
let value2 = match arr2 {
Some(arr) => arr,
None => return Ok(None),
};

let mut value1 = value1;
let mut value2 = value2;

loop {
match value1.data_type() {
List(_) => {
if downcast_arg!(value1, ListArray).null_count() > 0 {
return Ok(None);
}
value1 = downcast_arg!(value1, ListArray).value(0);
}
LargeList(_) => {
if downcast_arg!(value1, LargeListArray).null_count() > 0 {
return Ok(None);
}
value1 = downcast_arg!(value1, LargeListArray).value(0);
}
_ => break,
}

match value2.data_type() {
List(_) => {
if downcast_arg!(value2, ListArray).null_count() > 0 {
return Ok(None);
}
value2 = downcast_arg!(value2, ListArray).value(0);
}
LargeList(_) => {
if downcast_arg!(value2, LargeListArray).null_count() > 0 {
return Ok(None);
}
value2 = downcast_arg!(value2, LargeListArray).value(0);
}
_ => break,
}
}

if value1.null_count() != 0 || value2.null_count() != 0 {
return Ok(None);
}

let values1 = convert_to_f64_array(&value1)?;
let values2 = convert_to_f64_array(&value2)?;

if values1.len() != values2.len() {
return exec_err!("Both arrays must have the same length");
}

let dot = dot_product_f64(&values1, &values2);
let mag1 = magnitude_f64(&values1);
let mag2 = magnitude_f64(&values2);

if mag1 == 0.0 || mag2 == 0.0 {
return Ok(None);
}

Ok(Some(1.0 - dot / (mag1 * mag2)))
}

#[cfg(test)]
mod tests {
use super::*;
use arrow::array::{Float64Array, ListArray};
use arrow::buffer::OffsetBuffer;
use arrow::datatypes::{DataType, Field};
use std::sync::Arc;

fn make_f64_list_array(values: Vec<Option<Vec<Option<f64>>>>) -> ArrayRef {
let mut flat: Vec<Option<f64>> = Vec::new();
let mut offsets: Vec<i32> = vec![0];
for v in &values {
match v {
Some(inner) => {
flat.extend(inner);
offsets.push(flat.len() as i32);
}
None => {
offsets.push(flat.len() as i32);
}
}
}
let values_array = Arc::new(Float64Array::from(flat)) as ArrayRef;
let field = Arc::new(Field::new_list_field(DataType::Float64, true));
let offset_buffer = OffsetBuffer::new(offsets.into());
let null_buffer = arrow::buffer::NullBuffer::from(
values.iter().map(|v| v.is_some()).collect::<Vec<_>>(),
);
Arc::new(ListArray::new(
field,
offset_buffer,
values_array,
Some(null_buffer),
))
}

#[test]
fn test_cosine_distance_orthogonal() {
let arr1 = make_f64_list_array(vec![Some(vec![Some(1.0), Some(0.0)])]);
let arr2 = make_f64_list_array(vec![Some(vec![Some(0.0), Some(1.0)])]);
let result = cosine_distance_inner(&[arr1, arr2]).unwrap();
let result = result.as_any().downcast_ref::<Float64Array>().unwrap();
assert!((result.value(0) - 1.0).abs() < 1e-10);
}

#[test]
fn test_cosine_distance_identical() {
let arr1 = make_f64_list_array(vec![Some(vec![Some(1.0), Some(2.0), Some(3.0)])]);
let arr2 = make_f64_list_array(vec![Some(vec![Some(1.0), Some(2.0), Some(3.0)])]);
let result = cosine_distance_inner(&[arr1, arr2]).unwrap();
let result = result.as_any().downcast_ref::<Float64Array>().unwrap();
assert!(result.value(0).abs() < 1e-10);
}

#[test]
fn test_cosine_distance_opposite() {
let arr1 = make_f64_list_array(vec![Some(vec![Some(1.0), Some(0.0)])]);
let arr2 = make_f64_list_array(vec![Some(vec![Some(-1.0), Some(0.0)])]);
let result = cosine_distance_inner(&[arr1, arr2]).unwrap();
let result = result.as_any().downcast_ref::<Float64Array>().unwrap();
assert!((result.value(0) - 2.0).abs() < 1e-10);
}

#[test]
fn test_cosine_distance_null_array() {
let arr1 = make_f64_list_array(vec![None]);
let arr2 = make_f64_list_array(vec![Some(vec![Some(1.0), Some(2.0)])]);
let result = cosine_distance_inner(&[arr1, arr2]).unwrap();
let result = result.as_any().downcast_ref::<Float64Array>().unwrap();
assert!(result.is_null(0));
}

#[test]
fn test_cosine_distance_mismatched_lengths() {
let arr1 = make_f64_list_array(vec![Some(vec![Some(1.0), Some(2.0)])]);
let arr2 = make_f64_list_array(vec![Some(vec![Some(1.0)])]);
let result = cosine_distance_inner(&[arr1, arr2]);
assert!(result.is_err());
}

#[test]
fn test_cosine_distance_zero_magnitude() {
let arr1 = make_f64_list_array(vec![Some(vec![Some(0.0), Some(0.0)])]);
let arr2 = make_f64_list_array(vec![Some(vec![Some(1.0), Some(0.0)])]);
let result = cosine_distance_inner(&[arr1, arr2]).unwrap();
let result = result.as_any().downcast_ref::<Float64Array>().unwrap();
assert!(result.is_null(0));
}
}
4 changes: 4 additions & 0 deletions datafusion/functions-nested/src/lib.rs
Original file line number Diff line number Diff line change
Expand Up @@ -41,6 +41,7 @@ pub mod array_has;
pub mod arrays_zip;
pub mod cardinality;
pub mod concat;
pub mod cosine_distance;
pub mod dimension;
pub mod distance;
pub mod empty;
Expand Down Expand Up @@ -68,6 +69,7 @@ pub mod set_ops;
pub mod sort;
pub mod string;
pub mod utils;
pub mod vector_math;

use datafusion_common::Result;
use datafusion_execution::FunctionRegistry;
Expand All @@ -85,6 +87,7 @@ pub mod expr_fn {
pub use super::concat::array_append;
pub use super::concat::array_concat;
pub use super::concat::array_prepend;
pub use super::cosine_distance::cosine_distance;
pub use super::dimension::array_dims;
pub use super::dimension::array_ndims;
pub use super::distance::array_distance;
Expand Down Expand Up @@ -150,6 +153,7 @@ pub fn all_default_nested_functions() -> Vec<Arc<ScalarUDF>> {
array_has::array_has_any_udf(),
empty::array_empty_udf(),
length::array_length_udf(),
cosine_distance::cosine_distance_udf(),
distance::array_distance_udf(),
flatten::flatten_udf(),
min_max::array_max_udf(),
Expand Down
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