angle_btw

Typically, the angle between two vectors <code>v1</code> and <code>v2</code> can be obtained with:
<div class="sourceCode R"></div><pre><code>acos((v1 %*% v2) / (norm(v1, "2") * norm(v2, "2")))
</code></pre>
However, this approach is numerically unstable. The version provided here is
numerically stable and based on the <a href="https://github.com/JeffreySarnoff/AngleBetweenVectors.jl">Angle Between Vectors</a>
Julia package by Jeffrey Sarnoff (MIT license), implementing an algorithm
provided by Prof. W. Kahan in
<a href="https://people.eecs.berkeley.edu/~wkahan/MathH110/Cross.pdf">these notes</a>
(see page 15).

An implementation of the clugen algorithm for generating
multidimensional clusters with arbitrary distributions. Each cluster is
supported by a line segment, the position, orientation and length of which
guide where the respective points are placed. This package is described in
Fachada & de Andrade (2023) <doi:10.1016/j.knosys.2023.110836>.

Nuno Fachada

clugenr

Multidimensional Cluster Generation Using Support Lines

angle_btw function

<dl><dt>v1</dt>
<dd>First vector.</dd>
<dt>v2</dt>
<dd>Second vector.</dd></dl>

Arguments

Typically, the angle between two vectors <code>v1</code> and <code>v2</code> can be obtained with:
<div class="sourceCode R"><pre><code>acos((v1 %*% v2) / (norm(v1, "2") * norm(v2, "2")))
</code></pre></div>
However, this approach is numerically unstable. The version provided here is
numerically stable and based on the <a href='https://github.com/JeffreySarnoff/AngleBetweenVectors.jl'>Angle Between Vectors</a>
Julia package by Jeffrey Sarnoff (MIT license), implementing an algorithm
provided by Prof. W. Kahan in
<a href='https://people.eecs.berkeley.edu/~wkahan/MathH110/Cross.pdf'>these notes</a>
(see page 15).

Angle between two n-dimensional vectors. — angle_btw

<dl>

<dt>v1</dt>
<dd>First vector.</dd>


<dt>v2</dt>
<dd>Second vector.</dd>

</dl>

angle_btw: Angle between two n-dimensional vectors.

Description

Usage

Value

Arguments

Examples