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#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
module qlm_boundary
use cctk
implicit none
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
private
public set_boundary
interface set_boundary
module procedure set_boundary_real
module procedure set_boundary_complex
end interface
contains
subroutine set_boundary_real (CCTK_ARGUMENTS, hn, f, parity)
DECLARE_CCTK_ARGUMENTS
integer, intent(in) :: hn
CCTK_REAL :: f(:,:)
integer, intent(in) :: parity
CCTK_REAL, allocatable :: ff(:,:)
integer :: ni, nj, gi, gj
integer :: i, j, jj
if (abs(parity) /= 1) then
call CCTK_WARN (0, "Parity must be +1 or -1")
end if
ni = qlm_ntheta(hn)
nj = qlm_nphi(hn)
gi = qlm_nghoststheta(hn)
gj = qlm_nghostsphi(hn)
f( :gi, :nj) = -42
f(ni-gi+1:ni, :nj) = -42
f(:ni, :gj) = -42
f(:ni, nj-gi+1:nj) = -42
allocate (ff(gi, nj))
! lower theta
ff(:, :nj) = f(1+gi:2*gi, :nj)
! polar boundary condition at north pole
do j=1,nj/2
do i=1,gi
jj = j + (nj-2*gj) / 2
f(i,j) = parity * ff(gi-i+1,jj)
end do
end do
do j=nj/2+1,nj
do i=1,gi
jj = j - (nj-2*gj) / 2
f(i,j) = parity * ff(gi-i+1,jj)
end do
end do
! upper theta
ff(:, :nj) = f(ni-2*gi+1:ni-gi, :nj)
! polar boundary condition at south pole
do j=1,nj/2
do i=1,gi
jj = j + (nj-2*gj) / 2
f(ni-i+1,j) = parity * ff(i,jj)
end do
end do
do j=nj/2+1,nj
do i=1,gi
jj = j - (nj-2*gj) / 2
f(ni-i+1,j) = parity * ff(i,jj)
end do
end do
deallocate (ff)
allocate (ff(ni,gj))
! lower phi
ff(:ni, :) = f(:ni, nj-2*gj+1:nj-gj)
! periodic boundary at null meridian
do j=1,gj
do i=1,ni
f(i,j) = ff(i,j)
end do
end do
! upper phi
ff(:ni, :) = f(:ni, gj+1:2*gj)
! periodic boundary at null meridian
do j=1,gj
do i=1,ni
f(i,nj-j+1) = ff(i,gj-j+1)
end do
end do
deallocate (ff)
f(ni+1:, :nj) = 0
f(:, nj+1:) = 0
end subroutine set_boundary_real
subroutine set_boundary_complex (CCTK_ARGUMENTS, hn, f, parity)
DECLARE_CCTK_ARGUMENTS
integer, intent(in) :: hn
CCTK_COMPLEX :: f(:,:)
integer, intent(in) :: parity
CCTK_REAL :: fre(size(f,1),size(f,2))
CCTK_REAL :: fim(size(f,1),size(f,2))
integer :: ni, nj, gi, gj
ni = qlm_ntheta(hn)
nj = qlm_nphi(hn)
gi = qlm_nghoststheta(hn)
gj = qlm_nghostsphi(hn)
f( :gi, :nj) = 0
f(ni-gi+1:ni, :nj) = 0
f(:ni, :gj) = 0
f(:ni, nj-gj+1:nj) = 0
fre = real(f)
fim = aimag(f)
call set_boundary_real (CCTK_PASS_FTOF, hn, fre, parity)
call set_boundary_real (CCTK_PASS_FTOF, hn, fim, parity)
f = cmplx(fre, fim, kind(f))
end subroutine set_boundary_complex
end module qlm_boundary
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