OK, I think I've gotten your vectors.inc merged into - and alongside - 
the core includes of my povr branch. With vectors.inc becoming one of 
the core include files.

Ended up... Sometimes wrapping macros in transforms.inc and math.inc to 
call your versions. Sometimes leaving the existing, roughly-equivalent 
macros but recommending your version in comments - and using yours over 
the old versions otherwise in the core include files.

As anticipated some minor changes in declared IDs due povr's lower case 
checking.

Added basic self testing of all the macros as a block appended to the 
bottom.

Turned out well. Thank you!

Only suggestion I'll make has to do with the documentation on your 
github page at: ttps://github.com/t-o-k/Useful-POV-Ray-macros.

With the VectorsFromTransform() and VectorsFromTransformFunction(), 
where you are showing the initialization of v_X, v_Y, v_Z and p_T, ahead 
of the macro calls; you could use the, new to v3.8, tuple initialization 
syntax. For example:

#declare (v_X,v_Y,v_Z,p_T) = (<0,0,0>,<0,0,0>,<0,0,0>,<0,0,0>);

Bill P.

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