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From: Eli Zaretskii <eliz@gnu.org>
Newsgroups: gmane.emacs.devel
Subject: Re: Temporarily select-window, without updating mode-line face and
 cursor fill?
Date: Sun, 02 May 2021 09:55:37 +0300
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> From: JD Smith <jdtsmith@gmail.com>
> Date: Sat, 1 May 2021 18:17:46 -0400
> Cc: emacs-devel@gnu.org
> 
> (defun mlscroll-fast-line-number-at-pos (pos &optional win)
>   "Line number at position.
> Compute line number at position POS. Uses fast mode-line
> formatting.  If WIN is non-nil, find line number at position within
> that window."
>   (string-to-number
>    (if win
>        (let ((old (window-point win)))
> 	 (set-window-point win pos)
> 	 (prog1
> 	     (format-mode-line "%l" 0 win)
> 	   (set-window-point win old)))
> 	 (save-excursion
> 	   (goto-char pos)
> 	   (format-mode-line "%l" 0)))))

I don't recommend using format-mode-line for counting lines.  Why not
use count-lines instead?