VECTOR_MANHATTAN_DISTANCE

Returns the Manhattan, or L1 distance, between two vectors. The Manhattan distance measures the total distance by moving strictly along orthogonal axes, similar to navigating streets in a city grid. It is calculated as the sum of absolute differences between corresponding elements of two vectors.

Syntax

VECTOR_MANHATTAN_DISTANCE(<array>, <array>)

Parameters

Parameter	Description	Supported input types
<array>	The first array used in the distance calculation.	Any array of numeric data types.
<array>	The second array used in the distance calculation.	Any array of numeric data types.

Notes

Both input array arguments must have the same number of elements.

Return Type

DOUBLE

Examples

Example

The following code returns the Manhattan distance between two vectors: The Manhattan distance is calculated as the sum of absolute differences: |3 - 1| + |2 - 4| = 4.

SELECT VECTOR_MANHATTAN_DISTANCE([1, 4], [3, 2]) AS distance;

Returns

distance (DOUBLE PRECISION)
4