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JavaScript vec.cosine

MarkLogic 12 Product Documentation
vec:cosine

vec:cosine(
   $vector1 as vec:vector,
   $vector2 as vec:vector
) as xs:double

Summary

Returns the cosine of the angle between two vectors. The vectors must be of the same dimension.

Parameters
vector1 The vector from which to calculate the cosine with vector2.
vector2 The vector from which to calculate the cosine with vector1.

Example

  xquery version "1.0-ml";
  let $vec1 := vec:vector((3.14,1.59,2.65))
  let $vec2 := vec:vector((3.58,9.79,3.23))

  return vec:cosine($vec1,$vec2);

  => 0.73559182882309

Example

  xquery version "1.0-ml";

  let $vec1 := vec:vector(fn:head(fn:doc('pronethalol.json'))/data/array-node{embedding})
  let $vec2 := vec:vector(fn:head(fn:doc('cell_renewal.json'))/data/array-node{embedding})

  return vec:cosine($vec1,$vec2)

  => The cosine between vectors in JSON arrays named 'embedding'
      in documents 'pronethalol.json' and 'cell_renewal.json'

Example

xquery version "1.0-ml";
import module namespace op = 'http://marklogic.com/optic'
           at 'MarkLogic/optic.xqy';
import module namespace ovec = 'http://marklogic.com/optic/expression/vec'
           at 'MarkLogic/optic/optic-vec.xqy';

(: construct a query vector from the JSON array node 'emb' in document 'embedding104576.json' :)
let $qv := vec:vector(fn:head(fn:doc('embedding104576.json'))/array-node('emb'))

let $view := op:from-view('vecs','wiki_vectors')
           =>op:bind(op:as('cosine',ovec:cosine(op:col('embedding'),$qv)))
           =>op:select((op:col('title'),op:col('text'),op:col('cosine')))
           =>op:order-by(op:desc(op:col('cosine')))
           =>op:limit(30)
           =>op:result()
return $view;

=>
(:
  Performs a linear scan of vectors in the 'embedding' column in the 'wiki_vectors' view to find the top
   30 matches to the query vector $qv
:)

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