There are a few special types of user-defined Stan functions for which some
additional details are relevant:
(P)RNG functions
If a user-defined Stan function ends in _rng, then it can
use the Boost pseudo-random number generator used by Stan. When exposing
such functions to R, a seed argument will be added to the
formals. This seed argument defaults to 0L,
but any non-negative integer can be passed as the seed the
first time any user-defined function ending in _rng
is called. In other words, the Boost pseudo-random number generator is
initialized with the given seed but is declared with the static
C++ keyword, meaning that it will not be reinitialized by subsequent calls
to user-defined functions ending in _rng.
LP functions
If a user-defined Stan function ends in _lp, then it can
modify the log-probability used by Stan to evaluate Metropolis
proposals or as an objective function for optimization. When exposing
such functions to R, a lp__ argument will be added to the
formals. This lp__ argument defaults to zero, but a
double precision scalar may be passed to this argument when the
function is called from R. Such a user-defined Stan function can terminate
with return target(); or can execute print(target()); to verify that
the calculation is correct.