Wrong result when using a global variable in Fortran - fortran

Question

I'm learning the basics of Fortran. I created a simple subroutine initializing a matrix:
program test
integer, parameter :: n = 1024
real :: a(n, n)
call init(a)
write (*, *) a(1, 1)
end program
subroutine init(a)
real :: a(n, n)
a(:, :) = 3.0
end subroutine
Then the output is 0.0 instead of expected 3.0. Apart from that, valgrind says that:
==7006== Conditional jump or move depends on uninitialised value(s)
==7006== at 0x400754: init_ (in /home/marcin/proj/mimuw/fortran/test)
==7006== by 0x4007A4: MAIN__ (in /home/marcin/proj/mimuw/fortran/test)
==7006== by 0x40083B: main (in /home/marcin/proj/mimuw/fortran/test)
Why? The n parameter is correctly recognized by the compiler and should be a global one.
I compiled the program with gfortran 6.3.1

Answer 1

n is not a global variable, it is a local variable of the main program.
The subroutine is a completely independent compilation unit from the main program and they do not share any information.
A subroutine can "see" other variables of the parent module, if it is a module procedure, or variables of a parent (host) procedure or program if it is an internal procedure.
Be sure to read about the structure of Fortran programs and use modules as much as possible. Prefer modules over internal procedures. You will see how to put the subroutine into a module or how to make it internal to the main program in the link.
I did not mention common blocks, just don't use them, they are obsolete. And rember to use implicit none in every compilation unit.

Answer 2

Assuming that you want it everywhere, then one uses a COMMON block in the f77 era, and a MODULE now.
I CAPITALISED most of the changes. And if there is no error gives a few ways to consider understanding N in the SUBROUTINE, and an ELEMENTAL FUNCTION would likely be worthwhile to try here too.
MODULE MyMODULE
integer, parameter :: n = 1024
END MODULE MyMODULE
!%%%%%%%%%%
program test
USE MyModule
IMPLICIT NONE
! done up in ˆmoduleˆ...! integer, parameter :: n = 1024
REAL, DIMENSION(n,n) :: A
CALL Alternative_Init(A, 3.3)
WRITE (*,*) a(1, 1)
CALL Alternative2_Init(A, n, 1.23)
WRITE (*,*) a(1, 1)
call init(a)
write (*, *) a(1, 1)
END PROGRAM TEST
!%%%%%%%%%%
subroutine init(a)
USE MyModule
IMPLICIT NONE
real :: a(n, n)
a(:, :) = 3.0
RETURN
END SUBROUTINE init
!%%%%%%%%%%
SUBROUTINE Alternative_Init(a, Val4A)
USE MyModule
IMPLICIT NONE
REAL, DIMENSION(:,:) , INTENT(INOUT) :: a
REAL , INTENT(IN ) :: Val4A
a(:, :) = Val4A
! or just... A = Val4A ! which does them all too.
RETURN
END SUBROUTINE Alternative_Init
!%%%%%%%%%%
SUBROUTINE Alternative2_Init(a, n, Val4A)
!!!! USE MyModule
IMPLICIT NONE
INTEGER , INTENT(IN ) :: n
REAL, DIMENSION(n,n) , INTENT( OUT) :: a
REAL , INTENT(IN ) :: Val4A
A = Val4A
RETURN
END SUBROUTINE Alternative2_Init