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What is the point of \on-the-fly ?

From: David Kastrup
Subject: What is the point of \on-the-fly ?
Date: Sun, 11 Jun 2017 15:08:05 +0200
User-agent: Gnus/5.13 (Gnus v5.13) Emacs/26.0.50 (gnu/linux)

\on-the-fly gets as first argument a function that it calls on the
second argument as if the first argument was actually a markup command.

Why not make the first argument actually a markup command?

It would appear that we are mostly talking about a closed set here
anyway.  So why

\markup \on-the-fly #(on-page 3) "blabla"

instead of

\markup \on-page #3 "blabla"

?  Where is the point in this particular obfuscation?

David Kastrup

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