SECURITY INVOKER routines that access data

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Goal Find SECURITY INVOKER routines that read rows from a table, add rows to a table, update rows in a table, or delete rows from a table. Better to have for these purposes SECURITY DEFINER routines, which make it possible to give to the users privileges to only execute routines without having rights to access their underlying tables.
Notes Refers to the column pg_proc.prokind and thus works starting from PostgreSQL 11. In the returned body of routine the query replaces each newline character with the line break (br) tag for the better readability in case the query result is displayed in a web browser. There could be multiple routines with the same name but with different parameters in the same schema (overloading). Thus, for the unique identification of the routine it is necessary to present also its parameters in addition to the schema name and routine name. The query does not consider routines that are a part of an extension.
Type Problem detection (Each row in the result could represent a flaw in the design)
Reliability High (Few or no false-positive results)
License MIT License
Fixing Suggestion If you change a routine to SECURITY DEFINER, then do not forget to specify the search path.
Data Source INFORMATION_SCHEMA+system catalog
SQL Query 
SELECT 
  pg_namespace.nspname AS routine_schema, 
  pg_proc.proname AS routine_name,
  pg_get_function_identity_arguments(pg_proc.oid) AS parameters,
  CASE WHEN pg_proc.prokind='f' THEN 'FUNCTION'
  WHEN pg_proc.prokind='p' THEN 'PROCEDURE'  
  WHEN pg_proc.prokind='w' THEN 'WINDOW FUNCTION' END AS routine_type,
  regexp_replace(pg_get_functiondef(pg_proc.oid),'[\r\n]','
','g')  AS routine_src
FROM 
  pg_catalog.pg_proc, 
  pg_catalog.pg_namespace
WHERE 
  pg_proc.pronamespace = pg_namespace.oid
 AND prosecdef=FALSE 
 AND (pg_get_functiondef(pg_proc.oid)~*'(SELECT[[:space:]][^;]+[[:space:]]FROM|INSERT[[:space:]]+INTO|UPDATE[[:space:]][^;]+[[:space:]]SET|DELETE[[:space:]]+FROM)') 
 AND pg_proc.prokind<>'a'
AND pg_namespace.nspname NOT IN (SELECT schema_name
FROM INFORMATION_SCHEMA.schemata
WHERE schema_name<>'public' AND
schema_owner='postgres' AND schema_name IS NOT NULL)
AND NOT EXISTS (SELECT 1
FROM pg_catalog.pg_depend d 
WHERE EXISTS (SELECT 1 FROM pg_catalog.pg_extension e WHERE d.refobjid=e.oid) AND
d.objid=pg_proc.oid)
ORDER BY routine_schema, routine_name, parameters;
Collections

This query belongs to the following collections:

NameDescription
Find problems automaticallyQueries, that results point to problems in the database. Each query in the collection produces an initial assessment. However, a human reviewer has the final say as to whether there is a problem or not .
Categories

This query is classified under the following categories:

NameDescription
Does not work in some earlier PostgreSQL versionQueries of this category provide information that was not available in some earlier PostgreSQL version
SecurityQueries of this category provide information about the security measures.
User-defined routinesQueries of this category provide information about the user-defined routines