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6.13 FFTW MPI Fortran Interface

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The FFTW MPI interface is callable from modern Fortran compilers cannam@127: supporting the Fortran 2003 iso_c_binding standard for calling cannam@127: C functions. As described in Calling FFTW from Modern Fortran, cannam@127: this means that you can directly call FFTW’s C interface from Fortran cannam@127: with only minor changes in syntax. There are, however, a few things cannam@127: specific to the MPI interface to keep in mind: cannam@127:

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For example, here is a Fortran code snippet to perform a distributed cannam@127: L × M complex DFT in-place. (This assumes you have already cannam@127: initialized MPI with MPI_init and have also performed cannam@127: call fftw_mpi_init.) cannam@127:

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  use, intrinsic :: iso_c_binding
cannam@127:   include 'fftw3-mpi.f03'
cannam@127:   integer(C_INTPTR_T), parameter :: L = ...
cannam@127:   integer(C_INTPTR_T), parameter :: M = ...
cannam@127:   type(C_PTR) :: plan, cdata
cannam@127:   complex(C_DOUBLE_COMPLEX), pointer :: data(:,:)
cannam@127:   integer(C_INTPTR_T) :: i, j, alloc_local, local_M, local_j_offset
cannam@127: 
cannam@127: !   get local data size and allocate (note dimension reversal)
cannam@127:   alloc_local = fftw_mpi_local_size_2d(M, L, MPI_COMM_WORLD, &
cannam@127:                                        local_M, local_j_offset)
cannam@127:   cdata = fftw_alloc_complex(alloc_local)
cannam@127:   call c_f_pointer(cdata, data, [L,local_M])
cannam@127: 
cannam@127: !   create MPI plan for in-place forward DFT (note dimension reversal)
cannam@127:   plan = fftw_mpi_plan_dft_2d(M, L, data, data, MPI_COMM_WORLD, &
cannam@127:                               FFTW_FORWARD, FFTW_MEASURE)
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cannam@127: ! initialize data to some function my_function(i,j)
cannam@127:   do j = 1, local_M
cannam@127:     do i = 1, L
cannam@127:       data(i, j) = my_function(i, j + local_j_offset)
cannam@127:     end do
cannam@127:   end do
cannam@127: 
cannam@127: ! compute transform (as many times as desired)
cannam@127:   call fftw_mpi_execute_dft(plan, data, data)
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cannam@127:   call fftw_destroy_plan(plan)
cannam@127:   call fftw_free(cdata)
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Note that when we called fftw_mpi_local_size_2d and cannam@127: fftw_mpi_plan_dft_2d with the dimensions in reversed order, cannam@127: since a L × M Fortran array is viewed by FFTW in C as a cannam@127: M × L array. This means that the array was distributed over cannam@127: the M dimension, the local portion of which is a cannam@127: L × local_M array in Fortran. (You must not use an cannam@127: allocate statement to allocate an L × local_M array, cannam@127: however; you must allocate alloc_local complex numbers, which cannam@127: may be greater than L * local_M, in order to reserve space for cannam@127: intermediate steps of the transform.) Finally, we mention that cannam@127: because C’s array indices are zero-based, the local_j_offset cannam@127: argument can conveniently be interpreted as an offset in the 1-based cannam@127: j index (rather than as a starting index as in C). cannam@127:

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If instead you had used the ior(FFTW_MEASURE, cannam@127: FFTW_MPI_TRANSPOSED_OUT) flag, the output of the transform would be a cannam@127: transposed M × local_L array, associated with the same cannam@127: cdata allocation (since the transform is in-place), and which cannam@127: you could declare with: cannam@127:

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  complex(C_DOUBLE_COMPLEX), pointer :: tdata(:,:)
cannam@127:   ...
cannam@127:   call c_f_pointer(cdata, tdata, [M,local_L])
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where local_L would have been obtained by changing the cannam@127: fftw_mpi_local_size_2d call to: cannam@127:

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  alloc_local = fftw_mpi_local_size_2d_transposed(M, L, MPI_COMM_WORLD, &
cannam@127:                            local_M, local_j_offset, local_L, local_i_offset)
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Footnotes

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Technically, this is because you aren’t cannam@127: actually calling the C functions directly. You are calling wrapper cannam@127: functions that translate the communicator with MPI_Comm_f2c cannam@127: before calling the ordinary C interface. This is all done cannam@127: transparently, however, since the fftw3-mpi.f03 interface file cannam@127: renames the wrappers so that they are called in Fortran with the same cannam@127: names as the C interface functions.

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