fftw3: Plan execution in Fortran

 
 7.4 Plan execution in Fortran
 =============================
 
 In C, in order to use a plan, one normally calls 'fftw_execute', which
 executes the plan to perform the transform on the input/output arrays
 passed when the plan was created (SeeUsing Plans).  The
 corresponding subroutine call in modern Fortran is:
       call fftw_execute(plan)
 
    However, we have had reports that this causes problems with some
 recent optimizing Fortran compilers.  The problem is, because the
 input/output arrays are not passed as explicit arguments to
 'fftw_execute', the semantics of Fortran (unlike C) allow the compiler
 to assume that the input/output arrays are not changed by
 'fftw_execute'.  As a consequence, certain compilers end up
 repositioning the call to 'fftw_execute', assuming incorrectly that it
 does nothing to the arrays.
 
    There are various workarounds to this, but the safest and simplest
 thing is to not use 'fftw_execute' in Fortran.  Instead, use the
 functions described in SeeNew-array Execute Functions, which take
 the input/output arrays as explicit arguments.  For example, if the plan
 is for a complex-data DFT and was created for the arrays 'in' and 'out',
 you would do:
       call fftw_execute_dft(plan, in, out)
 
    There are a few things to be careful of, however:
 
    * You must use the correct type of execute function, matching the way
      the plan was created.  Complex DFT plans should use
      'fftw_execute_dft', Real-input (r2c) DFT plans should use use
      'fftw_execute_dft_r2c', and real-output (c2r) DFT plans should use
      'fftw_execute_dft_c2r'.  The various r2r plans should use
      'fftw_execute_r2r'.  Fortunately, if you use the wrong one you will
      get a compile-time type-mismatch error (unlike legacy Fortran).
 
    * You should normally pass the same input/output arrays that were
      used when creating the plan.  This is always safe.
 
    * _If_ you pass _different_ input/output arrays compared to those
      used when creating the plan, you must abide by all the restrictions
      of the new-array execute functions (SeeNew-array Execute
      Functions).  The most tricky of these is the requirement that the
      new arrays have the same alignment as the original arrays; the best
      (and possibly only) way to guarantee this is to use the
      'fftw_alloc' functions to allocate your arrays (SeeAllocating
      aligned memory in Fortran).  Alternatively, you can use the
      'FFTW_UNALIGNED' flag when creating the plan, in which case the
      plan does not depend on the alignment, but this may sacrifice
      substantial performance on architectures (like x86) with SIMD
      instructions (SeeSIMD alignment and fftw_malloc).