zhidongqu-db opened a new pull request, #53924:
URL: https://github.com/apache/spark/pull/53924
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### What changes were proposed in this pull request?
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This PR adds support for vector norm and normalization functions to Spark
SQL, complementing the vector distance/similarity functions added previously.
Norm Function
- vector_norm(vector, degree) - Returns the Lp norm of a float vector using
the specified degree. Degree defaults to 2.0 (Euclidean norm) if unspecified.
Normalization Function
- vector_normalize(vector, degree) - Normalizes a float vector to unit
length using the specified norm degree. Degree defaults to 2.0 (Euclidean norm)
if unspecified.
Supported norm degrees:
- 1.0 - L1 norm (Manhattan norm)
- 2.0 - L2 norm (Euclidean norm)
- float('inf') - Infinity norm (maximum absolute value)
Key implementation details:
- Type Safety: Functions accept only ARRAY<FLOAT> for vector and FLOAT for
degree. No implicit type casting is performed
- passing ARRAY<DOUBLE> or ARRAY<INT> results in a
DATATYPE_MISMATCH.UNEXPECTED_INPUT_TYPE error.
- Degree Validation: Invalid degree values throw INVALID_VECTOR_NORM_DEGREE
error with clear messaging.
- NULL Handling: NULL array inputs return NULL. Arrays containing NULL
elements also return NULL.
- Edge Cases: Empty vectors return 0.0 for norm functions and an empty array
for normalize. Zero-norm vectors return NULL for normalize (division by zero).
- Code Generation: Optimized codegen with manual loop unrolling (8 elements
at a time) to enable potential JIT SIMD vectorization.
This PR only includes SQL language support; DataFrame API will be added in a
separate PR.
### Why are the changes needed?
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Vector norm and normalization functions are fundamental operations for:
- Preprocessing: Normalizing embedding vectors before similarity
computations (many ML models require unit-length vectors)
- Feature scaling: Ensuring vectors have consistent magnitudes across
different sources
- Distance metrics: Computing norm-based distances and preparing vectors for
distance computation
These functions complement the vector distance/similarity functions and are
commonly available in other systems.
### Does this PR introduce _any_ user-facing change?
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Yes, this PR introduces 2 new SQL functions
```
-- L2 norm (Euclidean norm) - default
SELECT vector_norm(array(3.0F, 4.0F));
-- Returns: 5.0
-- L1 norm (Manhattan norm)
SELECT vector_norm(array(3.0F, 4.0F), 1.0F);
-- Returns: 7.0
-- Infinity norm (maximum absolute value)
SELECT vector_norm(array(3.0F, -4.0F), float('inf'));
-- Returns: 4.0
-- L2 normalization - default (returns unit vector)
SELECT vector_normalize(array(3.0F, 4.0F));
-- Returns: [0.6, 0.8]
-- L1 normalization
SELECT vector_normalize(array(3.0F, 4.0F), 1.0F);
-- Returns: [0.42857143, 0.5714286]
-- Infinity normalization
SELECT vector_normalize(array(3.0F, 4.0F), float('inf'));
-- Returns: [0.75, 1.0]
```
### How was this patch tested?
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TODO
### Was this patch authored or co-authored using generative AI tooling?
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Yes, code assistance with Claude Opus 4.5 in combination with manual editing
by the author.
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