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[cmd]\def[/cmd] doesn't expand the macro [cmd]\hitspherediscriminant[/cmd] until [doc]\res[/doc] is expanded, meaning the [doc]\edef[/doc] macros inside it get expanded at that time.

Yes I see, isn't there a way to force the expansion inside the \edef\hitspherediscriminant because it should have ...

Hello!

I am trying to learn more about macros and expansion rules in LaTeX, by writing some nested macros to do various math operations.

Here is a small code snippet:

\documentclass{article}
\usepackage{xfp}

\def\getx(#1,#2,#3){#1}
\def\gety(#1,#2,#3){#2}
\def\getz(#1,#2,#3){#3}

% Vector ...