Nikita wrote:
> 1. pg_total_relation_size return predictable approximately correct table size 
> (apart from some preallocation) without subsequent VACUUM/ANALYZE/anything 
> call as long as I don't DELETE/UPDATE rows;
>  
> 2. DROP/TRUNCATE table reclaim disc space without subsequent VACUUM;
>  
> These assumptions are correct? Is it fixed in doc if so?

Sort of, if you consider the source as documentation.

Ad pg_total_relation_size:

See the function definition in backend/utils/adt/dbsize.c and
the functions that it calls, especially "calculate_relation_size":

PostgreSQL uses the stat(2) system call to determine the actual
size of the files on disk.

Ad TRUNCATE (from backend/commands/tablecmds.c):

  /*
   * Need the full transaction-safe pushups.
   *
   * Create a new empty storage file for the relation, and assign it
   * as the relfilenode value. The old storage file is scheduled for
   * deletion at commit.
   */

Yours,
Laurenz Albe

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