different non-reduced-dimensions that all correspond to the same
global-&gt;local address space transformation.</p>
<h2>Building An Addressing Operator</h2>
<p>Regardless of how much we reduce our dimensionality problem, we can't make it
completely go away and we will need to have an operator that, given the reduced
dimensions, can transform an index in global linearized space into local linearized
space.</p>
<p>The old pathway we took had us attempting top spot specific optimizations that would
hit various