packageVectors

Information

Library content

This library provides functions operating on vectors:

• toString(v) - returns the string representation of vector v.
• isEqual(v1, v2) - returns true if vectors v1 and v2 have the same size and the same elements.
• norm(v,p) - returns the p-norm of vector v.
• length(v) - returns the length of vector v (= norm(v,2), but inlined and therefore usable in symbolic manipulations)
• normalize(v) - returns vector in direction of v with length = 1 and prevents zero-division for zero vector.
• reverse(v) - reverses the vector elements of v.
• sort(v) - sorts the elements of vector v in ascending or descending order.
• find(e, v) - returns the index of the first occurrence of scalar e in vector v.
• interpolate(x, y, xi) - returns the interpolated value in (x,y) that corresponds to xi.
• relNodePositions(nNodes) - returns a vector of relative node positions (0..1).

See also

Contents

Name	Description
toString	Convert a real vector in to a string representation
isEqual	Determine if two Real vectors are numerically identical
norm	Return the p-norm of a vector
length	Return length of a vector (better as norm(), if further symbolic processing is performed)
normalize	Return normalized vector such that length = 1 and prevent zero-division for zero vector
normalizeWithAssert	Return normalized vector such that length = 1 (trigger an assert for zero vector)
reverse	Reverse vector elements (e.g., v[1] becomes last element)
sort	Sort elements of vector in ascending or descending order
find	Find element in a vector
interpolate	Interpolate linearly in a vector
relNodePositions	Return vector of relative node positions (0..1)