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			726 lines
		
	
	
		
			30 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
	
	
| @node Calling FFTW from Modern Fortran, Calling FFTW from Legacy Fortran, Distributed-memory FFTW with MPI, Top
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| @chapter Calling FFTW from Modern Fortran
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| @cindex Fortran interface
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| 
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| Fortran 2003 standardized ways for Fortran code to call C libraries,
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| and this allows us to support a direct translation of the FFTW C API
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| into Fortran.  Compared to the legacy Fortran 77 interface
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| (@pxref{Calling FFTW from Legacy Fortran}), this direct interface
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| offers many advantages, especially compile-time type-checking and
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| aligned memory allocation.  As of this writing, support for these C
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| interoperability features seems widespread, having been implemented in
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| nearly all major Fortran compilers (e.g. GNU, Intel, IBM,
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| Oracle/Solaris, Portland Group, NAG).
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| @cindex portability
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| 
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| This chapter documents that interface.  For the most part, since this
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| interface allows Fortran to call the C interface directly, the usage
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| is identical to C translated to Fortran syntax.  However, there are a
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| few subtle points such as memory allocation, wisdom, and data types
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| that deserve closer attention.
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| 
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| @menu
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| * Overview of Fortran interface::
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| * Reversing array dimensions::
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| * FFTW Fortran type reference::
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| * Plan execution in Fortran::
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| * Allocating aligned memory in Fortran::
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| * Accessing the wisdom API from Fortran::
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| * Defining an FFTW module::
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| @end menu
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| 
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| @c -------------------------------------------------------
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| @node Overview of Fortran interface, Reversing array dimensions, Calling FFTW from Modern Fortran, Calling FFTW from Modern Fortran
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| @section Overview of Fortran interface
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| 
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| FFTW provides a file @code{fftw3.f03} that defines Fortran 2003
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| interfaces for all of its C routines, except for the MPI routines
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| described elsewhere, which can be found in the same directory as
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| @code{fftw3.h} (the C header file).  In any Fortran subroutine where
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| you want to use FFTW functions, you should begin with:
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| 
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| @cindex iso_c_binding
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| @example
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|   use, intrinsic :: iso_c_binding 
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|   include 'fftw3.f03'
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| @end example
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| 
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| This includes the interface definitions and the standard
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| @code{iso_c_binding} module (which defines the equivalents of C
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| types).  You can also put the FFTW functions into a module if you
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| prefer (@pxref{Defining an FFTW module}).
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| 
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| At this point, you can now call anything in the FFTW C interface
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| directly, almost exactly as in C other than minor changes in syntax.
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| For example:
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| 
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| @findex fftw_plan_dft_2d
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| @findex fftw_execute_dft
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| @findex fftw_destroy_plan
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| @example
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|   type(C_PTR) :: plan
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|   complex(C_DOUBLE_COMPLEX), dimension(1024,1000) :: in, out
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|   plan = fftw_plan_dft_2d(1000,1024, in,out, FFTW_FORWARD,FFTW_ESTIMATE)
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|   ...
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|   call fftw_execute_dft(plan, in, out)
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|   ...
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|   call fftw_destroy_plan(plan)
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| @end example
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| 
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| A few important things to keep in mind are:
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| 
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| @itemize @bullet
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| 
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| @item
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| @tindex fftw_complex
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| @ctindex C_PTR
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| @ctindex C_INT
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| @ctindex C_DOUBLE
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| @ctindex C_DOUBLE_COMPLEX
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| FFTW plans are @code{type(C_PTR)}.  Other C types are mapped in the
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| obvious way via the @code{iso_c_binding} standard: @code{int} turns
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| into @code{integer(C_INT)}, @code{fftw_complex} turns into
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| @code{complex(C_DOUBLE_COMPLEX)}, @code{double} turns into
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| @code{real(C_DOUBLE)}, and so on. @xref{FFTW Fortran type reference}.
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| 
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| @item
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| Functions in C become functions in Fortran if they have a return value,
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| and subroutines in Fortran otherwise.
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| 
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| @item
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| The ordering of the Fortran array dimensions must be @emph{reversed}
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| when they are passed to the FFTW plan creation, thanks to differences
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| in array indexing conventions (@pxref{Multi-dimensional Array
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| Format}).  This is @emph{unlike} the legacy Fortran interface
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| (@pxref{Fortran-interface routines}), which reversed the dimensions
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| for you.  @xref{Reversing array dimensions}.
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| 
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| @item
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| @cindex alignment
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| @cindex SIMD
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| Using ordinary Fortran array declarations like this works, but may
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| yield suboptimal performance because the data may not be not aligned
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| to exploit SIMD instructions on modern proessors (@pxref{SIMD
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| alignment and fftw_malloc}). Better performance will often be obtained
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| by allocating with @samp{fftw_alloc}. @xref{Allocating aligned memory
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| in Fortran}.
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| 
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| @item
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| @findex fftw_execute
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| Similar to the legacy Fortran interface (@pxref{FFTW Execution in
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| Fortran}), we currently recommend @emph{not} using @code{fftw_execute}
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| but rather using the more specialized functions like
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| @code{fftw_execute_dft} (@pxref{New-array Execute Functions}).  
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| However, you should execute the plan on the @code{same arrays} as the
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| ones for which you created the plan, unless you are especially
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| careful.  @xref{Plan execution in Fortran}.  To prevent
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| you from using @code{fftw_execute} by mistake, the @code{fftw3.f03}
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| file does not provide an @code{fftw_execute} interface declaration.
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| 
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| @item
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| @cindex flags
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| Multiple planner flags are combined with @code{ior} (equivalent to @samp{|} in C).  e.g. @code{FFTW_MEASURE | FFTW_DESTROY_INPUT} becomes @code{ior(FFTW_MEASURE, FFTW_DESTROY_INPUT)}.  (You can also use @samp{+} as long as you don't try to include a given flag more than once.)
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| 
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| @end itemize
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| 
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| @menu
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| * Extended and quadruple precision in Fortran::
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| @end menu
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| 
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| @node Extended and quadruple precision in Fortran,  , Overview of Fortran interface, Overview of Fortran interface
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| @subsection Extended and quadruple precision in Fortran
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| @cindex precision
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| 
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| If FFTW is compiled in @code{long double} (extended) precision
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| (@pxref{Installation and Customization}), you may be able to call the
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| resulting @code{fftwl_} routines (@pxref{Precision}) from Fortran if
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| your compiler supports the @code{C_LONG_DOUBLE_COMPLEX} type code.
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| 
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| Because some Fortran compilers do not support
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| @code{C_LONG_DOUBLE_COMPLEX}, the @code{fftwl_} declarations are
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| segregated into a separate interface file @code{fftw3l.f03}, which you
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| should include @emph{in addition} to @code{fftw3.f03} (which declares
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| precision-independent @samp{FFTW_} constants):
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| 
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| @cindex iso_c_binding
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| @example
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|   use, intrinsic :: iso_c_binding 
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|   include 'fftw3.f03'
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|   include 'fftw3l.f03'
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| @end example
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| 
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| We also support using the nonstandard @code{__float128}
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| quadruple-precision type provided by recent versions of @code{gcc} on
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| 32- and 64-bit x86 hardware (@pxref{Installation and Customization}),
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| using the corresponding @code{real(16)} and @code{complex(16)} types
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| supported by @code{gfortran}.  The quadruple-precision @samp{fftwq_}
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| functions (@pxref{Precision}) are declared in a @code{fftw3q.f03}
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| interface file, which should be included in addition to
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| @code{fftw3.f03}, as above.  You should also link with
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| @code{-lfftw3q -lquadmath -lm} as in C.
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| 
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| @c -------------------------------------------------------
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| @node Reversing array dimensions, FFTW Fortran type reference, Overview of Fortran interface, Calling FFTW from Modern Fortran
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| @section Reversing array dimensions
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| 
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| @cindex row-major
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| @cindex column-major
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| A minor annoyance in calling FFTW from Fortran is that FFTW's array
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| dimensions are defined in the C convention (row-major order), while
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| Fortran's array dimensions are the opposite convention (column-major
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| order). @xref{Multi-dimensional Array Format}.  This is just a
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| bookkeeping difference, with no effect on performance.  The only
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| consequence of this is that, whenever you create an FFTW plan for a
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| multi-dimensional transform, you must always @emph{reverse the
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| ordering of the dimensions}.
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| 
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| For example, consider the three-dimensional (@threedims{L,M,N}) arrays:
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| 
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| @example
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|   complex(C_DOUBLE_COMPLEX), dimension(L,M,N) :: in, out
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| @end example
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| 
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| To plan a DFT for these arrays using @code{fftw_plan_dft_3d}, you could do:
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| 
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| @findex fftw_plan_dft_3d
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| @example
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|   plan = fftw_plan_dft_3d(N,M,L, in,out, FFTW_FORWARD,FFTW_ESTIMATE)
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| @end example
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| 
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| That is, from FFTW's perspective this is a @threedims{N,M,L} array.
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| @emph{No data transposition need occur}, as this is @emph{only
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| notation}.  Similarly, to use the more generic routine
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| @code{fftw_plan_dft} with the same arrays, you could do:
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| 
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| @example
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|   integer(C_INT), dimension(3) :: n = [N,M,L]
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|   plan = fftw_plan_dft_3d(3, n, in,out, FFTW_FORWARD,FFTW_ESTIMATE)
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| @end example
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| 
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| Note, by the way, that this is different from the legacy Fortran
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| interface (@pxref{Fortran-interface routines}), which automatically
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| reverses the order of the array dimension for you.  Here, you are
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| calling the C interface directly, so there is no ``translation'' layer.
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| 
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| @cindex r2c/c2r multi-dimensional array format
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| An important thing to keep in mind is the implication of this for
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| multidimensional real-to-complex transforms (@pxref{Multi-Dimensional
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| DFTs of Real Data}).  In C, a multidimensional real-to-complex DFT
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| chops the last dimension roughly in half (@threedims{N,M,L} real input
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| goes to @threedims{N,M,L/2+1} complex output).  In Fortran, because
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| the array dimension notation is reversed, the @emph{first} dimension of
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| the complex data is chopped roughly in half.  For example consider the
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| @samp{r2c} transform of @threedims{L,M,N} real input in Fortran:
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| 
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| @findex fftw_plan_dft_r2c_3d
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| @findex fftw_execute_dft_r2c
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| @example
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|   type(C_PTR) :: plan
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|   real(C_DOUBLE), dimension(L,M,N) :: in
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|   complex(C_DOUBLE_COMPLEX), dimension(L/2+1,M,N) :: out
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|   plan = fftw_plan_dft_r2c_3d(N,M,L, in,out, FFTW_ESTIMATE)
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|   ...
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|   call fftw_execute_dft_r2c(plan, in, out)
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| @end example
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| 
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| @cindex in-place
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| @cindex padding
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| Alternatively, for an in-place r2c transform, as described in the C
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| documentation we must @emph{pad} the @emph{first} dimension of the
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| real input with an extra two entries (which are ignored by FFTW) so as
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| to leave enough space for the complex output. The input is
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| @emph{allocated} as a @threedims{2[L/2+1],M,N} array, even though only
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| @threedims{L,M,N} of it is actually used.  In this example, we will
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| allocate the array as a pointer type, using @samp{fftw_alloc} to
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| ensure aligned memory for maximum performance (@pxref{Allocating
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| aligned memory in Fortran}); this also makes it easy to reference the
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| same memory as both a real array and a complex array.
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| 
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| @findex fftw_alloc_complex
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| @findex c_f_pointer
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| @example
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|   real(C_DOUBLE), pointer :: in(:,:,:)
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|   complex(C_DOUBLE_COMPLEX), pointer :: out(:,:,:)
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|   type(C_PTR) :: plan, data
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|   data = fftw_alloc_complex(int((L/2+1) * M * N, C_SIZE_T))
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|   call c_f_pointer(data, in, [2*(L/2+1),M,N])
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|   call c_f_pointer(data, out, [L/2+1,M,N])
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|   plan = fftw_plan_dft_r2c_3d(N,M,L, in,out, FFTW_ESTIMATE)
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|   ...
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|   call fftw_execute_dft_r2c(plan, in, out)
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|   ...
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|   call fftw_destroy_plan(plan)
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|   call fftw_free(data)
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| @end example
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| 
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| @c -------------------------------------------------------
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| @node FFTW Fortran type reference, Plan execution in Fortran, Reversing array dimensions, Calling FFTW from Modern Fortran
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| @section FFTW Fortran type reference
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| 
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| The following are the most important type correspondences between the
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| C interface and Fortran:
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| 
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| @itemize @bullet
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| 
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| @item
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| @tindex fftw_plan
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| Plans (@code{fftw_plan} and variants) are @code{type(C_PTR)} (i.e. an
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| opaque pointer).
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| 
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| @item
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| @tindex fftw_complex
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| @cindex precision
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| @ctindex C_DOUBLE
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| @ctindex C_FLOAT
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| @ctindex C_LONG_DOUBLE
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| @ctindex C_DOUBLE_COMPLEX
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| @ctindex C_FLOAT_COMPLEX
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| @ctindex C_LONG_DOUBLE_COMPLEX
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| The C floating-point types @code{double}, @code{float}, and @code{long
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| double} correspond to @code{real(C_DOUBLE)}, @code{real(C_FLOAT)}, and
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| @code{real(C_LONG_DOUBLE)}, respectively.  The C complex types
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| @code{fftw_complex}, @code{fftwf_complex}, and @code{fftwl_complex}
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| correspond in Fortran to @code{complex(C_DOUBLE_COMPLEX)},
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| @code{complex(C_FLOAT_COMPLEX)}, and
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| @code{complex(C_LONG_DOUBLE_COMPLEX)}, respectively.  
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| Just as in C
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| (@pxref{Precision}), the FFTW subroutines and types are prefixed with
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| @samp{fftw_}, @code{fftwf_}, and @code{fftwl_} for the different precisions, and link to different libraries (@code{-lfftw3}, @code{-lfftw3f}, and @code{-lfftw3l} on Unix), but use the @emph{same} include file @code{fftw3.f03} and the @emph{same} constants (all of which begin with @samp{FFTW_}).  The exception is @code{long double} precision, for which you should @emph{also} include @code{fftw3l.f03} (@pxref{Extended and quadruple precision in Fortran}).
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| 
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| @item
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| @tindex ptrdiff_t
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| @ctindex C_INT
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| @ctindex C_INTPTR_T
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| @ctindex C_SIZE_T
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| @findex fftw_malloc
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| The C integer types @code{int} and @code{unsigned} (used for planner
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| flags) become @code{integer(C_INT)}.  The C integer type @code{ptrdiff_t} (e.g. in the @ref{64-bit Guru Interface}) becomes @code{integer(C_INTPTR_T)}, and @code{size_t} (in @code{fftw_malloc} etc.) becomes @code{integer(C_SIZE_T)}.
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| 
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| @item
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| @tindex fftw_r2r_kind
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| @ctindex C_FFTW_R2R_KIND
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| The @code{fftw_r2r_kind} type (@pxref{Real-to-Real Transform Kinds})
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| becomes @code{integer(C_FFTW_R2R_KIND)}.  The various constant values
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| of the C enumerated type (@code{FFTW_R2HC} etc.) become simply integer
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| constants of the same names in Fortran.
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| 
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| @item
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| @ctindex FFTW_DESTROY_INPUT
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| @cindex in-place
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| @findex fftw_flops
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| Numeric array pointer arguments (e.g. @code{double *})
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| become @code{dimension(*), intent(out)} arrays of the same type, or
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| @code{dimension(*), intent(in)} if they are pointers to constant data
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| (e.g. @code{const int *}).  There are a few exceptions where numeric
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| pointers refer to scalar outputs (e.g. for @code{fftw_flops}), in which
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| case they are @code{intent(out)} scalar arguments in Fortran too.
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| For the new-array execute functions (@pxref{New-array Execute Functions}),
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| the input arrays are declared @code{dimension(*), intent(inout)}, since
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| they can be modified in the case of in-place or @code{FFTW_DESTROY_INPUT}
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| transforms.
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| 
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| @item
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| @findex fftw_alloc_real
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| @findex c_f_pointer
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| Pointer @emph{return} values (e.g @code{double *}) become
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| @code{type(C_PTR)}.  (If they are pointers to arrays, as for
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| @code{fftw_alloc_real}, you can convert them back to Fortran array
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| pointers with the standard intrinsic function @code{c_f_pointer}.)
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| 
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| @item
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| @cindex guru interface
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| @tindex fftw_iodim
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| @tindex fftw_iodim64
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| @cindex 64-bit architecture
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| The @code{fftw_iodim} type in the guru interface (@pxref{Guru vector
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| and transform sizes}) becomes @code{type(fftw_iodim)} in Fortran, a
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| derived data type (the Fortran analogue of C's @code{struct}) with
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| three @code{integer(C_INT)} components: @code{n}, @code{is}, and
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| @code{os}, with the same meanings as in C.  The @code{fftw_iodim64} type in the 64-bit guru interface (@pxref{64-bit Guru Interface}) is the same, except that its components are of type @code{integer(C_INTPTR_T)}.
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| 
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| @item
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| @ctindex C_FUNPTR
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| Using the wisdom import/export functions from Fortran is a bit tricky,
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| and is discussed in @ref{Accessing the wisdom API from Fortran}.  In
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| brief, the @code{FILE *} arguments map to @code{type(C_PTR)}, @code{const char *} to @code{character(C_CHAR), dimension(*), intent(in)} (null-terminated!), and the generic read-char/write-char functions map to @code{type(C_FUNPTR)}.
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| 
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| @end itemize
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| 
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| @cindex portability
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| You may be wondering if you need to search-and-replace
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| @code{real(kind(0.0d0))} (or whatever your favorite Fortran spelling
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| of ``double precision'' is) with @code{real(C_DOUBLE)} everywhere in
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| your program, and similarly for @code{complex} and @code{integer}
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| types.  The answer is no; you can still use your existing types.  As
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| long as these types match their C counterparts, things should work
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| without a hitch.  The worst that can happen, e.g. in the (unlikely)
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| event of a system where @code{real(kind(0.0d0))} is different from
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| @code{real(C_DOUBLE)}, is that the compiler will give you a
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| type-mismatch error.  That is, if you don't use the
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| @code{iso_c_binding} kinds you need to accept at least the theoretical
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| possibility of having to change your code in response to compiler
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| errors on some future machine, but you don't need to worry about
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| silently compiling incorrect code that yields runtime errors.
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| 
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| @c -------------------------------------------------------
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| @node Plan execution in Fortran, Allocating aligned memory in Fortran, FFTW Fortran type reference, Calling FFTW from Modern Fortran
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| @section Plan execution in Fortran
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| 
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| In C, in order to use a plan, one normally calls @code{fftw_execute},
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| which executes the plan to perform the transform on the input/output
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| arrays passed when the plan was created (@pxref{Using Plans}).  The
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| corresponding subroutine call in modern Fortran is:
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| @example
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|  call fftw_execute(plan)
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| @end example
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| @findex fftw_execute
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| 
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| However, we have had reports that this causes problems with some
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| recent optimizing Fortran compilers.  The problem is, because the
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| input/output arrays are not passed as explicit arguments to
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| @code{fftw_execute}, the semantics of Fortran (unlike C) allow the
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| compiler to assume that the input/output arrays are not changed by
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| @code{fftw_execute}.  As a consequence, certain compilers end up
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| repositioning the call to @code{fftw_execute}, assuming incorrectly
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| that it does nothing to the arrays.
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| 
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| There are various workarounds to this, but the safest and simplest
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| thing is to not use @code{fftw_execute} in Fortran.  Instead, use the
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| functions described in @ref{New-array Execute Functions}, which take
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| the input/output arrays as explicit arguments.  For example, if the
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| plan is for a complex-data DFT and was created for the arrays
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| @code{in} and @code{out}, you would do:
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| @example
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|  call fftw_execute_dft(plan, in, out)
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| @end example
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| @findex fftw_execute_dft
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| 
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| There are a few things to be careful of, however:
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| 
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| @itemize @bullet
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| 
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| @item
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| @findex fftw_execute_dft_r2c
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| @findex fftw_execute_dft_c2r
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| @findex fftw_execute_r2r
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| You must use the correct type of execute function, matching the way
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| the plan was created.  Complex DFT plans should use
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| @code{fftw_execute_dft}, Real-input (r2c) DFT plans should use use
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| @code{fftw_execute_dft_r2c}, and real-output (c2r) DFT plans should
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| use @code{fftw_execute_dft_c2r}.  The various r2r plans should use
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| @code{fftw_execute_r2r}.  Fortunately, if you use the wrong one you
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| will get a compile-time type-mismatch error (unlike legacy Fortran).
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| 
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| @item
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| You should normally pass the same input/output arrays that were used when
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| creating the plan.  This is always safe.
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| 
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| @item
 | |
| @emph{If} you pass @emph{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 (@pxref{New-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 @samp{fftw_alloc} functions to allocate your arrays (@pxref{Allocating aligned memory in Fortran}). Alternatively, you can
 | |
| use the @code{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 (@pxref{SIMD alignment and fftw_malloc}).
 | |
| @ctindex FFTW_UNALIGNED
 | |
| 
 | |
| @end itemize
 | |
| 
 | |
| @c -------------------------------------------------------
 | |
| @node Allocating aligned memory in Fortran, Accessing the wisdom API from Fortran, Plan execution in Fortran, Calling FFTW from Modern Fortran
 | |
| @section Allocating aligned memory in Fortran
 | |
| 
 | |
| @cindex alignment
 | |
| @findex fftw_alloc_real
 | |
| @findex fftw_alloc_complex
 | |
| In order to obtain maximum performance in FFTW, you should store your
 | |
| data in arrays that have been specially aligned in memory (@pxref{SIMD
 | |
| alignment and fftw_malloc}).  Enforcing alignment also permits you to
 | |
| safely use the new-array execute functions (@pxref{New-array Execute
 | |
| Functions}) to apply a given plan to more than one pair of in/out
 | |
| arrays.  Unfortunately, standard Fortran arrays do @emph{not} provide
 | |
| any alignment guarantees.  The @emph{only} way to allocate aligned
 | |
| memory in standard Fortran is to allocate it with an external C
 | |
| function, like the @code{fftw_alloc_real} and
 | |
| @code{fftw_alloc_complex} functions.  Fortunately, Fortran 2003 provides
 | |
| a simple way to associate such allocated memory with a standard Fortran
 | |
| array pointer that you can then use normally.
 | |
| 
 | |
| We therefore recommend allocating all your input/output arrays using
 | |
| the following technique:
 | |
| 
 | |
| @enumerate
 | |
| 
 | |
| @item
 | |
| Declare a @code{pointer}, @code{arr}, to your array of the desired type
 | |
| and dimensions.  For example, @code{real(C_DOUBLE), pointer :: a(:,:)}
 | |
| for a 2d real array, or @code{complex(C_DOUBLE_COMPLEX), pointer ::
 | |
| a(:,:,:)} for a 3d complex array.
 | |
| 
 | |
| @item
 | |
| The number of elements to allocate must be an
 | |
| @code{integer(C_SIZE_T)}.  You can either declare a variable of this
 | |
| type, e.g. @code{integer(C_SIZE_T) :: sz}, to store the number of
 | |
| elements to allocate, or you can use the @code{int(..., C_SIZE_T)}
 | |
| intrinsic function. e.g. set @code{sz = L * M * N} or use
 | |
| @code{int(L * M * N, C_SIZE_T)} for an @threedims{L,M,N} array.
 | |
| 
 | |
| @item
 | |
| Declare a @code{type(C_PTR) :: p} to hold the return value from
 | |
| FFTW's allocation routine.  Set @code{p = fftw_alloc_real(sz)} for a real array, or @code{p = fftw_alloc_complex(sz)} for a complex array.
 | |
| 
 | |
| @item
 | |
| @findex c_f_pointer
 | |
| Associate your pointer @code{arr} with the allocated memory @code{p}
 | |
| using the standard @code{c_f_pointer} subroutine: @code{call
 | |
| c_f_pointer(p, arr, [...dimensions...])}, where
 | |
| @code{[...dimensions...])} are an array of the dimensions of the array
 | |
| (in the usual Fortran order). e.g. @code{call c_f_pointer(p, arr,
 | |
| [L,M,N])} for an @threedims{L,M,N} array.  (Alternatively, you can
 | |
| omit the dimensions argument if you specified the shape explicitly
 | |
| when declaring @code{arr}.)  You can now use @code{arr} as a usual
 | |
| multidimensional array.
 | |
| 
 | |
| @item
 | |
| When you are done using the array, deallocate the memory by @code{call
 | |
| fftw_free(p)} on @code{p}.
 | |
| 
 | |
| @end enumerate
 | |
| 
 | |
| For example, here is how we would allocate an @twodims{L,M} 2d real array:
 | |
| 
 | |
| @example
 | |
|   real(C_DOUBLE), pointer :: arr(:,:)
 | |
|   type(C_PTR) :: p
 | |
|   p = fftw_alloc_real(int(L * M, C_SIZE_T))
 | |
|   call c_f_pointer(p, arr, [L,M])
 | |
|   @emph{...use arr and arr(i,j) as usual...}
 | |
|   call fftw_free(p)
 | |
| @end example
 | |
| 
 | |
| and here is an @threedims{L,M,N} 3d complex array:
 | |
| 
 | |
| @example
 | |
|   complex(C_DOUBLE_COMPLEX), pointer :: arr(:,:,:)
 | |
|   type(C_PTR) :: p
 | |
|   p = fftw_alloc_complex(int(L * M * N, C_SIZE_T))
 | |
|   call c_f_pointer(p, arr, [L,M,N])
 | |
|   @emph{...use arr and arr(i,j,k) as usual...}
 | |
|   call fftw_free(p)
 | |
| @end example
 | |
| 
 | |
| See @ref{Reversing array dimensions} for an example allocating a
 | |
| single array and associating both real and complex array pointers with
 | |
| it, for in-place real-to-complex transforms.
 | |
| 
 | |
| @c -------------------------------------------------------
 | |
| @node Accessing the wisdom API from Fortran, Defining an FFTW module, Allocating aligned memory in Fortran, Calling FFTW from Modern Fortran
 | |
| @section Accessing the wisdom API from Fortran
 | |
| @cindex wisdom
 | |
| @cindex saving plans to disk
 | |
| 
 | |
| As explained in @ref{Words of Wisdom-Saving Plans}, FFTW provides a
 | |
| ``wisdom'' API for saving plans to disk so that they can be recreated
 | |
| quickly.  The C API for exporting (@pxref{Wisdom Export}) and
 | |
| importing (@pxref{Wisdom Import}) wisdom is somewhat tricky to use
 | |
| from Fortran, however, because of differences in file I/O and string
 | |
| types between C and Fortran.
 | |
| 
 | |
| @menu
 | |
| * Wisdom File Export/Import from Fortran::
 | |
| * Wisdom String Export/Import from Fortran::
 | |
| * Wisdom Generic Export/Import from Fortran::
 | |
| @end menu
 | |
| 
 | |
| @c =========>
 | |
| @node Wisdom File Export/Import from Fortran, Wisdom String Export/Import from Fortran, Accessing the wisdom API from Fortran, Accessing the wisdom API from Fortran
 | |
| @subsection Wisdom File Export/Import from Fortran
 | |
| 
 | |
| @findex fftw_import wisdom_from_filename
 | |
| @findex fftw_export_wisdom_to_filename
 | |
| The easiest way to export and import wisdom is to do so using
 | |
| @code{fftw_export_wisdom_to_filename} and
 | |
| @code{fftw_wisdom_from_filename}.  The only trick is that these
 | |
| require you to pass a C string, which is an array of type
 | |
| @code{CHARACTER(C_CHAR)} that is terminated by @code{C_NULL_CHAR}.
 | |
| You can call them like this:
 | |
| 
 | |
| @example
 | |
|   integer(C_INT) :: ret
 | |
|   ret = fftw_export_wisdom_to_filename(C_CHAR_'my_wisdom.dat' // C_NULL_CHAR)
 | |
|   if (ret .eq. 0) stop 'error exporting wisdom to file'
 | |
|   ret = fftw_import_wisdom_from_filename(C_CHAR_'my_wisdom.dat' // C_NULL_CHAR)
 | |
|   if (ret .eq. 0) stop 'error importing wisdom from file'
 | |
| @end example
 | |
| 
 | |
| Note that prepending @samp{C_CHAR_} is needed to specify that the
 | |
| literal string is of kind @code{C_CHAR}, and we null-terminate the
 | |
| string by appending @samp{// C_NULL_CHAR}.  These functions return an
 | |
| @code{integer(C_INT)} (@code{ret}) which is @code{0} if an error
 | |
| occurred during export/import and nonzero otherwise.
 | |
| 
 | |
| It is also possible to use the lower-level routines
 | |
| @code{fftw_export_wisdom_to_file} and
 | |
| @code{fftw_import_wisdom_from_file}, which accept parameters of the C
 | |
| type @code{FILE*}, expressed in Fortran as @code{type(C_PTR)}.
 | |
| However, you are then responsible for creating the @code{FILE*}
 | |
| yourself.  You can do this by using @code{iso_c_binding} to define
 | |
| Fortran intefaces for the C library functions @code{fopen} and
 | |
| @code{fclose}, which is a bit strange in Fortran but workable.
 | |
| 
 | |
| @c =========>
 | |
| @node Wisdom String Export/Import from Fortran, Wisdom Generic Export/Import from Fortran, Wisdom File Export/Import from Fortran, Accessing the wisdom API from Fortran
 | |
| @subsection Wisdom String Export/Import from Fortran
 | |
| 
 | |
| @findex fftw_export_wisdom_to_string
 | |
| Dealing with FFTW's C string export/import is a bit more painful.  In
 | |
| particular, the @code{fftw_export_wisdom_to_string} function requires
 | |
| you to deal with a dynamically allocated C string.  To get its length,
 | |
| you must define an interface to the C @code{strlen} function, and to
 | |
| deallocate it you must define an interface to C @code{free}:
 | |
| 
 | |
| @example
 | |
|   use, intrinsic :: iso_c_binding
 | |
|   interface
 | |
|     integer(C_INT) function strlen(s) bind(C, name='strlen')
 | |
|       import
 | |
|       type(C_PTR), value :: s
 | |
|     end function strlen
 | |
|     subroutine free(p) bind(C, name='free')
 | |
|       import
 | |
|       type(C_PTR), value :: p
 | |
|     end subroutine free
 | |
|   end interface
 | |
| @end example
 | |
| 
 | |
| Given these definitions, you can then export wisdom to a Fortran
 | |
| character array:
 | |
| 
 | |
| @example
 | |
|   character(C_CHAR), pointer :: s(:)
 | |
|   integer(C_SIZE_T) :: slen
 | |
|   type(C_PTR) :: p
 | |
|   p = fftw_export_wisdom_to_string()
 | |
|   if (.not. c_associated(p)) stop 'error exporting wisdom'
 | |
|   slen = strlen(p)
 | |
|   call c_f_pointer(p, s, [slen+1])
 | |
|   ...
 | |
|   call free(p)
 | |
| @end example
 | |
| @findex c_associated
 | |
| @findex c_f_pointer
 | |
| 
 | |
| Note that @code{slen} is the length of the C string, but the length of
 | |
| the array is @code{slen+1} because it includes the terminating null
 | |
| character.  (You can omit the @samp{+1} if you don't want Fortran to
 | |
| know about the null character.) The standard @code{c_associated} function
 | |
| checks whether @code{p} is a null pointer, which is returned by
 | |
| @code{fftw_export_wisdom_to_string} if there was an error.
 | |
| 
 | |
| @findex fftw_import_wisdom_from_string
 | |
| To import wisdom from a string, use
 | |
| @code{fftw_import_wisdom_from_string} as usual; note that the argument
 | |
| of this function must be a @code{character(C_CHAR)} that is terminated
 | |
| by the @code{C_NULL_CHAR} character, like the @code{s} array above.
 | |
| 
 | |
| @c =========>
 | |
| @node Wisdom Generic Export/Import from Fortran,  , Wisdom String Export/Import from Fortran, Accessing the wisdom API from Fortran
 | |
| @subsection Wisdom Generic Export/Import from Fortran
 | |
| 
 | |
| The most generic wisdom export/import functions allow you to provide
 | |
| an arbitrary callback function to read/write one character at a time
 | |
| in any way you want.  However, your callback function must be written
 | |
| in a special way, using the @code{bind(C)} attribute to be passed to a
 | |
| C interface.
 | |
| 
 | |
| @findex fftw_export_wisdom
 | |
| In particular, to call the generic wisdom export function
 | |
| @code{fftw_export_wisdom}, you would write a callback subroutine of the form:
 | |
| 
 | |
| @example
 | |
|   subroutine my_write_char(c, p) bind(C)
 | |
|     use, intrinsic :: iso_c_binding
 | |
|     character(C_CHAR), value :: c
 | |
|     type(C_PTR), value :: p
 | |
|     @emph{...write c...}
 | |
|   end subroutine my_write_char
 | |
| @end example
 | |
| 
 | |
| Given such a subroutine (along with the corresponding interface definition), you could then export wisdom using:
 | |
| 
 | |
| @findex c_funloc
 | |
| @example
 | |
|   call fftw_export_wisdom(c_funloc(my_write_char), p)
 | |
| @end example
 | |
| 
 | |
| @findex c_loc
 | |
| @findex c_f_pointer
 | |
| The standard @code{c_funloc} intrinsic converts a Fortran
 | |
| @code{bind(C)} subroutine into a C function pointer.  The parameter
 | |
| @code{p} is a @code{type(C_PTR)} to any arbitrary data that you want
 | |
| to pass to @code{my_write_char} (or @code{C_NULL_PTR} if none).  (Note
 | |
| that you can get a C pointer to Fortran data using the intrinsic
 | |
| @code{c_loc}, and convert it back to a Fortran pointer in
 | |
| @code{my_write_char} using @code{c_f_pointer}.)
 | |
| 
 | |
| Similarly, to use the generic @code{fftw_import_wisdom}, you would
 | |
| define a callback function of the form:
 | |
| 
 | |
| @findex fftw_import_wisdom
 | |
| @example
 | |
|   integer(C_INT) function my_read_char(p) bind(C)
 | |
|     use, intrinsic :: iso_c_binding
 | |
|     type(C_PTR), value :: p
 | |
|     character :: c
 | |
|     @emph{...read a character c...}
 | |
|     my_read_char = ichar(c, C_INT)
 | |
|   end function my_read_char
 | |
| 
 | |
|   ....
 | |
| 
 | |
|   integer(C_INT) :: ret
 | |
|   ret = fftw_import_wisdom(c_funloc(my_read_char), p)
 | |
|   if (ret .eq. 0) stop 'error importing wisdom'
 | |
| @end example
 | |
| 
 | |
| Your function can return @code{-1} if the end of the input is reached.
 | |
| Again, @code{p} is an arbitrary @code{type(C_PTR} that is passed
 | |
| through to your function.  @code{fftw_import_wisdom} returns @code{0}
 | |
| if an error occurred and nonzero otherwise.
 | |
| 
 | |
| @c -------------------------------------------------------
 | |
| @node Defining an FFTW module,  , Accessing the wisdom API from Fortran, Calling FFTW from Modern Fortran
 | |
| @section Defining an FFTW module
 | |
| 
 | |
| Rather than using the @code{include} statement to include the
 | |
| @code{fftw3.f03} interface file in any subroutine where you want to
 | |
| use FFTW, you might prefer to define an FFTW Fortran module.  FFTW
 | |
| does not install itself as a module, primarily because
 | |
| @code{fftw3.f03} can be shared between different Fortran compilers while
 | |
| modules (in general) cannot.  However, it is trivial to define your
 | |
| own FFTW module if you want.  Just create a file containing:
 | |
| 
 | |
| @example
 | |
|   module FFTW3
 | |
|     use, intrinsic :: iso_c_binding
 | |
|     include 'fftw3.f03'
 | |
|   end module
 | |
| @end example
 | |
| 
 | |
| Compile this file into a module as usual for your compiler (e.g. with
 | |
| @code{gfortran -c} you will get a file @code{fftw3.mod}).  Now,
 | |
| instead of @code{include 'fftw3.f03'}, whenever you want to use FFTW
 | |
| routines you can just do:
 | |
| 
 | |
| @example
 | |
|   use FFTW3
 | |
| @end example
 | |
| 
 | |
| as usual for Fortran modules.  (You still need to link to the FFTW
 | |
| library, of course.)
 | 
