I am trying to define a array of arrays. I have defined:
  integer,dimension(2,2):: & 
    x=reshape(source= (/0,1,1,0/),  shape=(/2,2/)), & 
    y=reshape(source= (/1,0,0,1/),  shape=(/2,2/)), & 
    z=reshape(source= (/1,1,1,1/),  shape=(/2,2/)) 
I want to define an array, say, s(3), of which, (x/y/z) are components, i.e.
s(1)=x 
s(2)=y 
and s(3)=z
how can I achieve that?
The simplest approach might be to define s as a rank-3 array, perhaps
integer, dimension(3,2,2) :: s
and then you can write statements such as
s(1,:,:) = x
s(2,:,:) = y
...
This is the 'natural' way to implement an array of arrays in Fortran. An alternative, which might appeal to you more would be something like:
type :: twodarray
   integer, dimension(2,2) :: elements
end type twodarray
type(twodarray), dimension(3) :: s
s(1)%elements = x
If you don't like the wordiness of s(1)%elements = x you could redefine the operation = for your type twodarray, I don't have time right now to write that code for you.
You can always use pointers (in Fortran 95)
program main
  implicit none
  type :: my_type
     integer, pointer :: my_size(:)      ! F95
     !integer, allocatable :: my_size(:) ! F95 + TR 15581 or F2003
  end type my_type
  type(my_type), allocatable :: x(:)
  allocate(x(3))
  allocate(x(1)%my_size(3))
  allocate(x(2)%my_size(2))
  allocate(x(3)%my_size(1))
  print*, x(1)%my_size
  print*, x(2)%my_size
  print*, x(3)%my_size
  deallocate(x(3)%my_size, x(2)%my_size, x(1)%my_size)
  deallocate(x)
end program main
It will print
       0           0           0
       0           0
       0
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