Userdefined Functions
PostgreSQL 9.5.3 Documentation  

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PostgreSQL provides four kinds of functions:

query language functions (functions written in SQL ) ( Section 35.4 )

procedural language functions (functions written in, for example, PL/pgSQL or PL/Tcl ) ( Section 35.7 )

internal functions ( Section 35.8 )

Clanguage functions ( Section 35.9 )
Every kind of function can take base types, composite types, or combinations of these as arguments (parameters). In addition, every kind of function can return a base type or a composite type. Functions can also be defined to return sets of base or composite values.
Many kinds of functions can take or return certain pseudotypes (such as polymorphic types), but the available facilities vary. Consult the description of each kind of function for more details.
It's easiest to define SQL functions, so we'll start by discussing those. Most of the concepts presented for SQL functions will carry over to the other types of functions.
Throughout this chapter, it can be useful to look at the reference page of the CREATE FUNCTION command to understand the examples better. Some examples from this chapter can be found in funcs.sql and funcs.c in the src/tutorial directory in the PostgreSQL source distribution.