[For those cc'ed, the thread's at <https://bugs.gnu.org/64937#142>.]
On 2023-08-09 07:29, Bruno Haible wrote:

And on Alpine Linux, while /var/run/utmp is empty, its time stamp is
essentially the boot time.

The approach used by Emacs, namely to look at the time stamp of
/var/run/random-seed, is therefore essentially one of the best approaches.
It just needs to also look at /var/lib/systemd/random-seed and - on Alpine
Linux - /var/run/utmp .
Thanks for looking into this. Clearly Emacs had some catching up to do, 
since it was using a location for the random-seed file that current 
GNU/Linux distros no longer use. To try to fix this I installed the 
attached patch to Emacs master on Savannah.
This patch does not address the problem for Alpine, nor I suspect for 
Android. I suppose Alpine could use the timestamp of /var/run/utmp (or 
is that /run/utmp?) but I don't know how 'configure' would reliably 
detect it's being built or cross-built for Alpine. I'll cc this to 
Natanael Copa, who does the Alpine ports for Emacs, to see whether he 
can give advice.
Also, I don't know how Android records boot time so I'll cc this to Po 
Lu, the main developer for Emacs on Android.
From cc0a30a876adffa5ec110df9f4e0f21097f6d73e Mon Sep 17 00:00:00 2001
From: Paul Eggert <egg...@cs.ucla.edu>
Date: Wed, 9 Aug 2023 12:06:25 -0700
Subject: [PATCH] Adjust to random-seed move

For some time, GNU/Linux systems have put their random-seed file
somewhere other than where src/filelock.c looks for it.
Catch up to this by having 'configure' scout for it.
* configure.ac (BOOT_TIME_FILE):
Define this at configure-time.
* nt/inc/ms-w32.h (BOOT_TIME_FILE): Override 'configure'.
* src/filelock.c (BOOT_TIME_FILE): Remove default definition,
since 'configure' defaults it now.
---
 configure.ac    | 31 +++++++++++++++++++++++++++++++
 nt/inc/ms-w32.h |  1 +
 src/filelock.c  |  6 ------
 3 files changed, 32 insertions(+), 6 deletions(-)

diff --git a/configure.ac b/configure.ac
index 6e080c1c666..56c8cf1ae05 100644
--- a/configure.ac
+++ b/configure.ac
@@ -2625,6 +2625,37 @@ AC_DEFUN
 fi
 AC_SUBST([AUTO_DEPEND])
 
+AC_CACHE_CHECK([for old but post-boot file],
+  [emacs_cv_boot_time_file],
+  [AS_CASE([$opsys],
+     [*bsd|darwin|dragonfly],
+       [emacs_cv_boot_time_file='not needed'],
+     [emacs_cv_boot_time_file=unknown
+      AS_IF([test $cross_compiling = no],
+	[# systemd puts it in /var/lib/systemd.
+	 # initscripts puts it in /var/lib/urandom (previously /var/lib).
+	 # Linux drivers/char/random.c before 2022-02-21 suggests /var/run.
+	 for file in \
+	     /var/lib/systemd/random-seed \
+	     /var/lib/urandom/random-seed \
+	     /var/lib/random-seed \
+	     /var/run/random-seed
+	 do
+	   test -f $file && { emacs_cv_boot_time_file=$file; break; }
+	 done])])])
+AS_CASE([$emacs_cv_boot_time_file],
+  [/*|*:*], [BOOT_TIME_FILE=\"$emacs_cv_boot_time_file\"],
+  [NULL|nullptr|0], [BOOT_TIME_FILE=$emacs_cv_boot_time_file],
+  ['not needed'], [BOOT_TIME_FILE=NULL],
+  [# Guess systemd if unknown.
+   # If guess is wrong, Emacs falls back on something else.
+   BOOT_TIME_FILE=\"/var/lib/systemd/random-seed\"])
+AC_DEFINE_UNQUOTED([BOOT_TIME_FILE], [$BOOT_TIME_FILE],
+  [Name of file that, if it exists, postdates boot and predates
+   the first Emacs invocation; or a null pointer if no such file is known.
+   This file is used only on GNU/Linux and other systems
+   that lack the FreeBSD-style sysctl with KERN_BOOTTIME.])
+
 #### Choose a window system.
 
 ## We leave window_system equal to none if
diff --git a/nt/inc/ms-w32.h b/nt/inc/ms-w32.h
index 58be1199345..b23fd5030fa 100644
--- a/nt/inc/ms-w32.h
+++ b/nt/inc/ms-w32.h
@@ -121,6 +121,7 @@ #define HAVE_C99_STRTOLD 1
    the output, but that's gross.  So this should do; if the file is
    not there, the boot time will be returned as zero, and filelock.c
    already handles that.  */
+#undef BOOT_TIME_FILE
 #define BOOT_TIME_FILE "C:/pagefile.sys"
 
 /* ============================================================ */
diff --git a/src/filelock.c b/src/filelock.c
index 66b8fd2ceac..0ad130353f3 100644
--- a/src/filelock.c
+++ b/src/filelock.c
@@ -59,12 +59,6 @@ Copyright (C) 1985-1987, 1993-1994, 1996, 1998-2023 Free Software
 #include <utmp.h>
 #endif
 
-/* A file whose last-modified time is just after the most recent boot.
-   Define this to be NULL to disable checking for this file.  */
-#ifndef BOOT_TIME_FILE
-#define BOOT_TIME_FILE "/var/run/random-seed"
-#endif
-
 /* Boot time is not available on Android.  */
 
 #if defined HAVE_ANDROID && !defined ANDROID_STUBIFY
-- 
2.39.2

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