Maths & Vectors

Tags:

• xslt

cosine-similarity()

Returns the cosine similarity of two numeric vectors, i.e. a value between -1 and 1 describing how closely the two vectors point in the same direction. It is intended for comparing sets of embeddings produced by a large language model.

cosine-similarity(Number[] vectorA, Number[] vectorB)

• vectorA - A sequence of numbers.
• vectorB - A sequence of numbers, of the same length as vectorA.

Both vectors must have the same number of elements, otherwise an error is raised. If either vector has a magnitude of zero then 0 is returned.

<xsl:variable name="a" select="(1, 0, 1)" as="xs:double*" />
<xsl:variable name="b" select="(1, 1, 1)" as="xs:double*" />
<Similarity><xsl:value-of select="stroom:cosine-similarity($a, $b)" /></Similarity>

<Similarity>0.8164965809277259</Similarity>

pointIsInsideXYPolygon()

Returns true if the specified point is inside the specified polygon. Useful for determining if a user is inside a physical zone based on their location and the boundary of that zone.

pointIsInsideXYPolygon(Number xPos, Number yPos, Number[] xPolyData, Number[] yPolyData)

Arguments:

• xPos - The X value of the point to be tested.
• yPos - The Y value of the point to be tested.
• xPolyData - A sequence of X values that define the polygon.
• yPolyData - A sequence of Y values that define the polygon.

The list of values supplied for xPolyData must correspond with the list of values supplied for yPolyData. The points that define the polygon must be provided in order, i.e. starting from one point on the polygon and then travelling round the path of the polygon until it gets back to the beginning.

split-document()

Split a document for LLM tokenisation (experimental).

split-document(String doc, Number segmentSize, Number overlapSize)