avoid state-changing functions
requires explicit padding, i.e. a little bit of code duplication
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@ -430,68 +430,6 @@ subroutine utilities_updateGamma(C)
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end subroutine utilities_updateGamma
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!--------------------------------------------------------------------------------------------------
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!> @brief forward FFT of data in field_real to field_fourier
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!> @details Does an unweighted FFT transform from real to complex. Extra padding entries are set
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! to 0.0
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!--------------------------------------------------------------------------------------------------
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subroutine utilities_FFTtensorForward()
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tensorField_real(1:3,1:3,cells(1)+1:cells1Red*2,:,:) = 0.0_pReal
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call fftw_mpi_execute_dft_r2c(planTensorForth,tensorField_real,tensorField_fourier)
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end subroutine utilities_FFTtensorForward
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!--------------------------------------------------------------------------------------------------
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!> @brief backward FFT of data in field_fourier to field_real
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!> @details Does an weighted inverse FFT transform from complex to real
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!--------------------------------------------------------------------------------------------------
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subroutine utilities_FFTtensorBackward()
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call fftw_mpi_execute_dft_c2r(planTensorBack,tensorField_fourier,tensorField_real)
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tensorField_real = tensorField_real * wgt ! normalize the result by number of elements
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end subroutine utilities_FFTtensorBackward
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!--------------------------------------------------------------------------------------------------
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!> @brief forward FFT of data in scalarField_real to scalarField_fourier
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!> @details Does an unweighted FFT transform from real to complex. Extra padding entries are set
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! to 0.0
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!--------------------------------------------------------------------------------------------------
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subroutine utilities_FFTscalarForward()
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scalarField_real(cells(1)+1:cells1Red*2,:,:) = 0.0_pReal
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call fftw_mpi_execute_dft_r2c(planScalarForth,scalarField_real,scalarField_fourier)
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end subroutine utilities_FFTscalarForward
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!--------------------------------------------------------------------------------------------------
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!> @brief backward FFT of data in scalarField_fourier to scalarField_real
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!> @details Does an weighted inverse FFT transform from complex to real
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!--------------------------------------------------------------------------------------------------
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subroutine utilities_FFTscalarBackward()
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call fftw_mpi_execute_dft_c2r(planScalarBack,scalarField_fourier,scalarField_real)
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scalarField_real = scalarField_real * wgt ! normalize the result by number of elements
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end subroutine utilities_FFTscalarBackward
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!--------------------------------------------------------------------------------------------------
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!> @brief forward FFT of data in field_real to field_fourier with highest freqs. removed
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!> @details Does an unweighted FFT transform from real to complex. Extra padding entries are set
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! to 0.0
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!--------------------------------------------------------------------------------------------------
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subroutine utilities_FFTvectorForward()
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vectorField_real(1:3,cells(1)+1:cells1Red*2,:,:) = 0.0_pReal
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call fftw_mpi_execute_dft_r2c(planVectorForth,vectorField_real,vectorField_fourier)
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end subroutine utilities_FFTvectorForward
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!--------------------------------------------------------------------------------------------------
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!> @brief backward FFT of data in field_fourier to field_real
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!> @details Does an weighted inverse FFT transform from complex to real
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@ -619,7 +557,8 @@ function utilities_GreenConvolution(field, D_ref, mu_ref, Delta_t) result(greenF
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scalarField_fourier(i,k,j) = scalarField_fourier(i,k,j)*GreenOp_hat
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end do; end do; end do
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!$OMP END PARALLEL DO
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call utilities_FFTscalarBackward()
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call fftw_mpi_execute_dft_c2r(planScalarBack,scalarField_fourier,scalarField_real)
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scalarField_real = scalarField_real * wgt ! normalize the result by number of elements
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greenField = scalarField_real(1:cells(1),1:cells(2),1:cells3)
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@ -823,11 +762,13 @@ subroutine utilities_fourierScalarGradient()
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integer :: i, j, k
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call utilities_FFTscalarForward()
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scalarField_real(cells(1)+1:cells1Red*2,:,:) = 0.0_pReal
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call fftw_mpi_execute_dft_r2c(planScalarForth,scalarField_real,scalarField_fourier)
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do j = 1, cells2; do k = 1, cells(3); do i = 1,cells1Red
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vectorField_fourier(1:3,i,k,j) = scalarField_fourier(i,k,j)*xi1st(1:3,i,k,j) ! ToDo: no -conjg?
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end do; end do; end do
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call utilities_FFTvectorBackward()
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call fftw_mpi_execute_dft_c2r(planVectorBack,vectorField_fourier,vectorField_real)
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vectorField_real = vectorField_real * wgt ! normalize the result by number of elements
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end subroutine utilities_fourierScalarGradient
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@ -837,10 +778,12 @@ end subroutine utilities_fourierScalarGradient
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!--------------------------------------------------------------------------------------------------
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subroutine utilities_fourierVectorDivergence()
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call utilities_FFTvectorForward()
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vectorField_real(1:3,cells(1)+1:cells1Red*2,:,:) = 0.0_pReal
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call fftw_mpi_execute_dft_r2c(planVectorForth,vectorField_real,vectorField_fourier)
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scalarField_fourier(1:cells1Red,1:cells(3),1:cells2) = sum(vectorField_fourier(1:3,1:cells1Red,1:cells(3),1:cells2) &
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*conjg(-xi1st),1)
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call utilities_FFTscalarBackward()
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call fftw_mpi_execute_dft_c2r(planScalarBack,scalarField_fourier,scalarField_real)
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scalarField_real = scalarField_real * wgt ! normalize the result by number of elements
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end subroutine utilities_fourierVectorDivergence
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@ -1075,8 +1018,9 @@ subroutine utilities_updateCoords(F)
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step = geomSize/real(cells, pReal)
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!--------------------------------------------------------------------------------------------------
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! integration in Fourier space to get fluctuations of cell center discplacements
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tensorField_real(1:3,1:3,1:cells(1),1:cells(2),1:cells3) = F
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call utilities_FFTtensorForward()
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tensorField_real(1:3,1:3,1:cells(1), 1:cells(2),1:cells3) = F
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tensorField_real(1:3,1:3,cells(1)+1:cells1Red*2,1:cells(2),1:cells3) = 0.0_pReal
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call fftw_mpi_execute_dft_r2c(planTensorForth,tensorField_real,tensorField_fourier)
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!$OMP PARALLEL DO
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do j = 1, cells2; do k = 1, cells(3); do i = 1, cells1Red
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@ -1089,7 +1033,8 @@ subroutine utilities_updateCoords(F)
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end do; end do; end do
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!$OMP END PARALLEL DO
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call utilities_FFTvectorBackward()
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call fftw_mpi_execute_dft_c2r(planVectorBack,vectorField_fourier,vectorField_real)
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vectorField_real = vectorField_real * wgt ! normalize the result by number of elements
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!--------------------------------------------------------------------------------------------------
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! average F
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@ -1183,38 +1128,38 @@ subroutine selfTest()
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call random_number(tensorField_real)
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tensorField_real(1:3,1:3,cells(1)+1:cells1Red*2,:,:) = 0.0_pReal
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tensorField_real_ = tensorField_real
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call utilities_FFTtensorForward()
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call fftw_mpi_execute_dft_r2c(planTensorForth,tensorField_real,tensorField_fourier)
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if (worldsize==1) then
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if (any(dNeq(sum(sum(sum(tensorField_real_,dim=5),dim=4),dim=3)/tensorField_fourier(:,:,1,1,1)%re,1.0_pReal,1.0e-12_pReal))) &
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error stop 'tensorField avg'
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endif
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call utilities_FFTtensorBackward()
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call fftw_mpi_execute_dft_c2r(planTensorBack,tensorField_fourier,tensorField_real)
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tensorField_real(1:3,1:3,cells(1)+1:cells1Red*2,:,:) = 0.0_pReal
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if (maxval(abs(tensorField_real_ - tensorField_real))>5.0e-15_pReal) error stop 'tensorField'
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if (maxval(abs(tensorField_real_ - tensorField_real*wgt))>5.0e-15_pReal) error stop 'tensorField'
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call random_number(vectorField_real)
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vectorField_real(1:3,cells(1)+1:cells1Red*2,:,:) = 0.0_pReal
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vectorField_real_ = vectorField_real
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call utilities_FFTvectorForward()
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call fftw_mpi_execute_dft_r2c(planVectorForth,vectorField_real,vectorField_fourier)
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if (worldsize==1) then
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if (any(dNeq(sum(sum(sum(vectorField_real_,dim=4),dim=3),dim=2)/vectorField_fourier(:,1,1,1)%re,1.0_pReal,1.0e-12_pReal))) &
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error stop 'vector avg'
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endif
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call utilities_FFTvectorBackward()
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call fftw_mpi_execute_dft_c2r(planVectorBack,vectorField_fourier,vectorField_real)
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vectorField_real(1:3,cells(1)+1:cells1Red*2,:,:) = 0.0_pReal
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if (maxval(abs(vectorField_real_ - vectorField_real))>5.0e-15_pReal) error stop 'vectorField'
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if (maxval(abs(vectorField_real_ - vectorField_real*wgt))>5.0e-15_pReal) error stop 'vectorField'
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call random_number(scalarField_real)
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scalarField_real(cells(1)+1:cells1Red*2,:,:) = 0.0_pReal
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scalarField_real_ = scalarField_real
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call utilities_FFTscalarForward()
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call fftw_mpi_execute_dft_r2c(planScalarForth,scalarField_real,scalarField_fourier)
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if (worldsize==1) then
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if (dNeq(sum(sum(sum(scalarField_real_,dim=3),dim=2),dim=1)/scalarField_fourier(1,1,1)%re,1.0_pReal,1.0e-12_pReal)) &
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error stop 'scalar avg'
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endif
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call utilities_FFTscalarBackward()
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call fftw_mpi_execute_dft_c2r(planScalarBack,scalarField_fourier,scalarField_real)
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scalarField_real(cells(1)+1:cells1Red*2,:,:) = 0.0_pReal
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if (maxval(abs(scalarField_real_ - scalarField_real))>5.0e-15_pReal) error stop 'scalarField'
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if (maxval(abs(scalarField_real_ - scalarField_real*wgt))>5.0e-15_pReal) error stop 'scalarField'
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end subroutine selfTest
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