Type bound procedure as arguments

Question

I want to pass a type bound procedures (as an external function) to another function as follows:

module mod1
   implicit none

   type type1
      real :: a
      contains
      procedure,pass :: f
   end type

contains

   real function f(y,e)
      class(type1), intent(in) :: y
      real,intent(in) :: e
      f=y%a+e
   end function

end module

program test

   use mod1
   type(type1) :: t

   t%a=3e0
   write(*,*) s(t%f)

contains

   real function s(g)
      real,external :: g
      s=g(5e0)+2e0
   end function

end program

gfortran produces gives this error :

       write(*,*) s(t%f)
                       1
Error: Expected argument list at (1)

But what I can do is:

program test

   t%a=3e0
   write(*,*) s(k)

contains

   real function s(g)
      real,external :: g
      s=g(5e0)+2e0
   end function

   real function k(e)
      real,intent(in) :: e
      k=3e0+e
   end function

end program

I think the problem is related to Passing type bound procedures as arguments, but I don't see at the moment how the answers there can help me.

EDIT:

A better example which (hopefully) shows the difficulty:

module mod2
   implicit none
contains

   real function s(g)
       interface
        real function g(x)
          real, intent(in) :: x
        end function
      end interface

      s=g(5e0)+2e0
   end function
end module

module mod1
   use mod2

   type type1
      real :: a
      contains
      procedure,pass :: f
      procedure,pass :: h
   end type

contains

   real function f(y,e)
      class(type1), intent(in) :: y
      real,intent(in) :: e
      f=y%a+e
   end function

   real function h(y)
      class(type1), intent(inout) :: y
      h=s(y%f)
   end function
end module

program test

use mod1
   type(type1) :: t

   t%a=3e0
   write(*,*) t%h
end program

EDIT II: Ok, the wrappers still work in combination with a pointer:

module mod2
   implicit none
contains

   real function s(g)
       interface
        real function g(x)
          real, intent(in) :: x
        end function
      end interface

      s=g(5e0)+2e0
   end function
end module 

module mod1 
   use mod2

   type type1
      real :: a
      contains
      procedure,pass :: f
      procedure,pass :: h
   end type

   class(type1),pointer :: help_w

contains

   real function f(y,e)
      class(type1), intent(in) :: y
      real,intent(in) :: e
      f=y%a+e
   end function

   real function h(y)
      class(type1), intent(inout),target :: y
      help_w => y
      h=s(wrap) 
   end function

   function wrap(x)
      real,intent(in) :: x
      wrap=help_w%f(x)
   end function 
end module

program test

use mod1
   type(type1) :: t

   t%a=3e0
   write(*,*) t%h()
end program

This is certainly not a beautiful solution but at least it works.

Answer 1

You can write a wrapper. This is the most straightforward version. Requires passing internal function as a dummy argument (F2008), but you could declare the wrapper in a module too, if the t can bee there.

Note I changed the declaration of the procedure argument in s to something more modern - the interface block.

program test
   use mod1
   type(type1) :: t

   t%a=3e0
   write(*,*) s(wrap)

contains

   real function s(g)
      interface
        real function g(x)
          real, intent(in) :: x
        end function
      end interface

      s=g(5e0)+2e0
   end function

   function wrap(x)
     real, intent(in) :: x
     wrap = t%f(x)
   end function

end program

The reason for your error is well described in the answers to the linked question, you cannot pass type bound procedures the way you tried.