orthonormalise_by

This ensures that each column in x is orthogonal to the corresponding
column in by.

internal

Implements geodesic interpolation and basis
generation functions that allow you to create new tour
methods from R.

<dl><dt>x</dt>
<dd>numeric matrix</dd>
<dt>by</dt>
<dd>numeric matrix, same size as x</dd></dl>

<dl>

<dt>x</dt>
<dd>numeric matrix</dd>


<dt>by</dt>
<dd>numeric matrix, same size as x</dd>

</dl>