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test_symmops.f90
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test_symmops.f90
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#include "macros.h"
module test_symmops
use numbers
use openmpi
use io
use parameters
use fftw
use symmops
contains
!==============================================================================
subroutine test_symmops_mirrorx(in_vfieldk, out_vfieldk)
complex(dpc), intent(inout) :: in_vfieldk(:, :, :, :)
complex(dpc), intent(out) :: out_vfieldk(:, :, :, :)
complex(dpc) :: swap(ny_half,nz)
integer(i4) :: ix
out_vfieldk(:,:,:,1:3) = in_vfieldk(:,:,:,1:3)
do ix = 1, nx / 2 ! ix = nx / 2 + 1 is zeroed
if (ix == 1) then
out_vfieldk(ix, :, :, 1) = -out_vfieldk(ix, :, :, 1)
out_vfieldk(ix, :, :, 2:3) = out_vfieldk(ix, :, :, 2:3)
else
swap(:, :) = out_vfieldk(ix, :, :, 1)
out_vfieldk(ix, :, :, 1) = -out_vfieldk(nx - ix + 2, :, :, 1)
out_vfieldk(nx - ix + 2, :, :, 1) = -swap(:,:)
swap(:, :) = out_vfieldk(ix, :, :, 2)
out_vfieldk(ix, :, :, 2) = out_vfieldk(nx - ix + 2, :, :, 2)
out_vfieldk(nx - ix + 2, :, :, 2) = swap(:,:)
swap(:, :) = out_vfieldk(ix, :, :, 3)
out_vfieldk(ix, :, :, 3) = out_vfieldk(nx - ix + 2, :, :, 3)
out_vfieldk(nx - ix + 2, :, :, 3) = swap(:,:)
end if
end do
end subroutine test_symmops_mirrorx
!==============================================================================
subroutine test_symmops_mirrory(in_vfieldk, out_vfieldk)
complex(dpc), intent(in) :: in_vfieldk(:, :, :, :)
complex(dpc), intent(out) :: out_vfieldk(:, :, :, :)
_indices
out_vfieldk(:, :, :, 1:3) = in_vfieldk(:, :, :, 1:3)
do iy = 1, ny_half
if (iy == 1) then
! w(0, kx, ky) -> -w(0, kx, ky)
out_vfieldk(:, iy, :, 2) = -in_vfieldk(:, iy, :, 2)
! [u,v](0, kx, ky) -> [u,v](0, kx, ky)
out_vfieldk(:, iy, :, (/1, 3/)) = in_vfieldk(:, iy, :, (/1, 3/))
else
do ix=1, nx; do iz=1,nz
if(iz == iz_max) cycle; if(ix_max /= -1 .and. ix == ix_max) cycle;
if (ix==1 .and. iz==1) then
! Re w(kz, 0, 0) -> -Re w(kz, 0, 0)
out_vfieldk(ix,iy,iz, 2)%re = -in_vfieldk(ix,iy,iz, 2)%re
! Re [u,v](kz, 0, 0) -> Re [u,v](kz, 0, 0)
out_vfieldk(ix,iy,iz, (/1, 3/))%re = in_vfieldk(ix,iy,iz, (/1, 3/))%re
! Im w(kz, 0, 0) -> Im w(kz, 0, 0)
out_vfieldk(ix,iy,iz, 2)%im = in_vfieldk(ix,iy,iz, 2)%im
out_vfieldk(ix,iy,iz, (/1, 3/))%im = -in_vfieldk(ix,iy,iz, (/1, 3/))%im
else if (ix==1 .and. iz/=1) then
out_vfieldk(ix,iy,iz, 2)%re = -in_vfieldk(ix,iy,nz-iz+2, 2)%re
out_vfieldk(ix,iy,iz, (/1, 3/))%re = in_vfieldk(ix,iy,nz-iz+2, (/1, 3/))%re
out_vfieldk(ix,iy,iz, 2)%im = in_vfieldk(ix,iy,nz-iz+2, 2)%im
out_vfieldk(ix,iy,iz, (/1, 3/))%im = -in_vfieldk(ix,iy,nz-iz+2, (/1, 3/))%im
else if (ix/=1 .and. iz==1) then
out_vfieldk(ix,iy,iz, 2)%re = -in_vfieldk(nx-ix+2,iy,iz, 2)%re
out_vfieldk(ix,iy,iz, (/1, 3/))%re = in_vfieldk(nx-ix+2,iy,iz, (/1, 3/))%re
out_vfieldk(ix,iy,iz, 2)%im = in_vfieldk(nx-ix+2,iy,iz, 2)%im
out_vfieldk(ix,iy,iz, (/1, 3/))%im = -in_vfieldk(nx-ix+2,iy,iz, (/1, 3/))%im
else
! Real parts
out_vfieldk(ix,iy,iz, 2)%re = -in_vfieldk(nx-ix+2,iy,nz-iz+2, 2)%re
out_vfieldk(ix,iy,iz, (/1, 3/))%re = in_vfieldk(nx-ix+2,iy,nz-iz+2, (/1, 3/))%re
! Imaginary parts
out_vfieldk(ix,iy,iz, 2)%im = in_vfieldk(nx-ix+2,iy,nz-iz+2, 2)%im
out_vfieldk(ix,iy,iz, (/1, 3/))%im = -in_vfieldk(nx-ix+2,iy,nz-iz+2, (/1, 3/))%im
end if
end do; end do
end if
end do
end subroutine test_symmops_mirrory
!==============================================================================
subroutine test_symmops_mirrorz(in_vfieldxx, out_vfieldxx)
real(dp), intent(inout) :: in_vfieldxx(:, :, :, :)
real(dp), intent(out) :: out_vfieldxx(:, :, :, :)
integer(i4) :: izz
real(dp) :: swap(nyy, nxx)
out_vfieldxx(:,:,:,1:3) = in_vfieldxx(:,:,:,1:3)
! Reflect in x
do izz = 1, nzz / 2 + 1
if (izz == 1 .or. (mod(nzz, 2) == 0 .and. izz == nzz / 2 + 1)) then
! sigma_x u(x) = - u(- x)
out_vfieldxx(:, izz, :, 3) = -out_vfieldxx(:, izz, :, 3)
else
! sigma_x u(x) = - u(- x)
swap(:, :) = out_vfieldxx(:, izz, :, 3)
out_vfieldxx(:, izz, :, 3) = - out_vfieldxx(:, nzz - (izz - 2), :, 3)
out_vfieldxx(:, nzz - (izz - 2), :, 3) = -swap(:, :)
swap(:, :) = out_vfieldxx(:, izz, :, 1)
out_vfieldxx(:, izz, :, 1) = out_vfieldxx(:, nzz - (izz - 2), :, 1)
out_vfieldxx(:, nzz - (izz - 2), :, 1) = swap(:, :)
! sigma_x [v,w](x) = [v,w](- x)
swap(:, :) = out_vfieldxx(:, izz, :, 2)
out_vfieldxx(:, izz, :, 2) = out_vfieldxx(:, nzz - (izz - 2), :, 2)
out_vfieldxx(:, nzz - (izz - 2), :, 2) = swap(:, :)
end if
end do
end subroutine test_symmops_mirrorz
!==============================================================================
subroutine test_symmops_halfshiftx(in_vfieldxx, out_vfieldxx)
real(dp), intent(inout) :: in_vfieldxx(:, :, :, :)
real(dp), intent(out) :: out_vfieldxx(:, :, :, :)
integer(i4) :: n
real(dp) :: swap(nyy, nzz_perproc, nxx/2)
if (mod(nxx, 2) /= 0) then
write(out,*) "test_symmops_halfshiftx: can't work with odd nxx."
flush(out)
error stop
end if
out_vfieldxx(:,:,:,1:3) = in_vfieldxx(:,:,:,1:3)
! Shift in y-direction by Lx/2:
do n=1,3
swap(:, :, :) = out_vfieldxx(:, :, nxx/2+1:nxx, n)
out_vfieldxx(:, :, nxx/2+1:nxx, n) = out_vfieldxx(:, :, 1:nxx/2,n)
out_vfieldxx(:,:,1:nxx/2,n) = swap(:, :, :)
end do
end subroutine test_symmops_halfshiftx
!==============================================================================
subroutine test_symmops_halfshifty(in_vfieldk, out_vfieldk)
complex(dpc), intent(inout) :: in_vfieldk(:, :, :, :)
complex(dpc), intent(out) :: out_vfieldk(:, :, :, :)
integer(i4) :: iy
out_vfieldk(:,:,:,1:3) = in_vfieldk(:,:,:,1:3)
do iy = 1, ny_half
if (mod(qy(iy), 2) /= 0) then
out_vfieldk(:, iy, :, 1:3) = -out_vfieldk(:, iy, :, 1:3)
end if
end do
end subroutine test_symmops_halfshifty
!==============================================================================
subroutine test_symmops_halfshiftz(in_vfieldxx, out_vfieldxx)
real(dp), intent(inout) :: in_vfieldxx(:, :, :, :)
real(dp), intent(out) :: out_vfieldxx(:, :, :, :)
integer(i4) :: n
real(dp) :: swap(nyy, nzz/2, nxx)
if (mod(nzz, 2) /= 0) then
write(out,*) "test_symmops_halfshiftz: can't work with odd nzz."
flush(out)
error stop
end if
out_vfieldxx(:,:,:,1:3) = in_vfieldxx(:,:,:,1:3)
do n=1,3
swap(:, :, :) = out_vfieldxx(:, nzz/2+1:nzz, :, n)
out_vfieldxx(:, nzz/2+1:nzz, :, n) = out_vfieldxx(:, 1:nzz/2, :,n)
out_vfieldxx(:,1:nzz/2,:,n) = swap(:, :, :)
end do
end subroutine test_symmops_halfshiftz
!==============================================================================
end module test_symmops