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/usr/share/GraphicsMagick-1.3.23/config/log.mgk is in libgraphicsmagick-q16-3 1.3.23-1build1.

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The actual contents of the file can be viewed below.

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<?xml version="1.0"?>
<!--

                 GraphicsMagick Logging Configuration File

The following options are available:

  o events
      annotate       Text annotation events.
      blob           File opening/closing/loading events.
      cache          Pixel cache events.
      coder          File format coder events.
      configure      Configuration events (searching for .mgk files, etc.).
      deprecate      Identify use of deprecated functions.
      error          Error exception report events.
      exception      Exception report events (warning and error).
      locale         Locale events.
      none           Reporting disabled.
      render         Rendering (drawing) events.
      resource       Resource allocation events (memory, disk, etc.)
      temporaryFile  Temporary file events (allocate, deallocate, etc.)
      transform      Image processing events.
      user           User events (not emitted by GraphicsMagick).
      warning        Warning exception report events.
      X11            X11 server events.

  o output
      none           Reporting disabled.
      disabled       Reporting disabled.
      stdout         Log to stdout in "human readable" format
      stderr         Log to stderr in "human readable" format
      xmlfile        Log to a file in an XML format
      txtfile        Log to a file in a text format
      win32debug     Windows, Output events to the application/system debugger.
      win32eventlog  Windows, Output events to the Application event log.

  o Filename - Use specified filename if output to a file is selected.
    Place a %d in the file name in order to support multiple log generations.

  o Generations - Number of log files to maintain before circulating back to
      the first name.

  o Limit - Maximum number of logging events before creating a new log file.

  o Format - Format of logging output

      You can display the following components by embedding
      special format characters:

        %d   domain
        %e   event
        %f   function
        %l   line
        %m   module
        %p   process ID
        %r   real CPU time
        %t   wall clock time
        %u   user CPU time
        %%   percent sign
        \n   newline
        \r   carriage return

 -->
<magicklog>
  <log events="None" />
  <log output="stderr" />
  <log filename="Magick-%d.log" />
  <log generations="3" />
  <log limit="2000" />
  <log format="%t %r %u %p %m/%f/%l/%d:\n  %e"  />
</magicklog>