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#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
subroutine qlm_killing_normalise (CCTK_ARGUMENTS, hn)
use cctk
use qlm_killing_normalisation
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
integer :: hn
CCTK_REAL, parameter :: one = 1
integer, parameter :: ngeodesics = 7
CCTK_REAL :: theta
CCTK_REAL :: factor, factors(ngeodesics)
logical :: found(ngeodesics)
integer :: nsteps
integer :: ii, iii
integer :: i, j
character :: msg*1000
if (veryverbose/=0) then
call CCTK_INFO ("Normalising Killing vector field")
end if
! Starting meridian
j = 1+qlm_nghostsphi(hn)
if (veryverbose/=0) call CCTK_INFO ("Calculating normalisation factor:")
#if 0
nsteps = -1
do iii=1,ngeodesics
ii = (ngeodesics/2+1) + (2*mod(iii,2)-1) * (iii/2)
if (ii<1 .or. ii>ngeodesics) call CCTK_WARN (0, "internal error")
i = 1 + qlm_nghoststheta(hn) &
+ ii * (qlm_ntheta(hn) - 2*qlm_nghoststheta(hn) - 1) / (ngeodesics+1)
if (qlm_xi_p(i,j,hn) < 0) then
qlm_xi_t(:,:,hn) = -qlm_xi_t(:,:,hn)
qlm_xi_p(:,:,hn) = -qlm_xi_p(:,:,hn)
qlm_chi (:,:,hn) = -qlm_chi (:,:,hn)
end if
theta = qlm_origin_theta(hn) + (i-1) * qlm_delta_theta(hn)
call killing_factor (CCTK_PASS_FTOF, hn, theta, factor, nsteps)
if (nsteps>0) exit
end do
if (nsteps < 0) then
call CCTK_WARN (1, "Did not manage to integrate along a Killing vector field line loop")
qlm_have_killing_vector(hn) = 0
factor = 1
goto 9999
end if
#else
do ii=1,ngeodesics
i = 1 + qlm_nghoststheta(hn) &
+ ii * (qlm_ntheta(hn) - 2*qlm_nghoststheta(hn) - 1) / (ngeodesics+1)
if (qlm_xi_p(i,j,hn) < 0) then
qlm_xi_t(:,:,hn) = -qlm_xi_t(:,:,hn)
qlm_xi_p(:,:,hn) = -qlm_xi_p(:,:,hn)
qlm_chi (:,:,hn) = -qlm_chi (:,:,hn)
end if
theta = qlm_origin_theta(hn) + (i-1) * qlm_delta_theta(hn)
call killing_factor (CCTK_PASS_FTOF, hn, theta, factors(ii), nsteps)
found(ii) = nsteps>0
end do
if (any(found)) then
if (CCTK_EQUALS(killing_vector_normalisation, "average")) then
if (count(found) >= 3) then
! ignore smallest and largest factors
ii = minloc(factors, 1, found)
if (ii<=0) call CCTK_WARN (0, "internal error")
found(ii) = .false.
ii = maxloc(factors, 1, found)
if (ii<=0) call CCTK_WARN (0, "internal error")
found(ii) = .false.
end if
else if (CCTK_EQUALS(killing_vector_normalisation, "median")) then
do while (count(found) >= 3)
! ignore smallest and largest factors
ii = minloc(factors, 1, found)
if (ii<=0) call CCTK_WARN (0, "internal error")
found(ii) = .false.
ii = maxloc(factors, 1, found)
if (ii<=0) call CCTK_WARN (0, "internal error")
found(ii) = .false.
end do
else
call CCTK_WARN (0, "internal error")
end if
! average factors
factor = product(factors, found) ** (one / count(found))
else
call CCTK_WARN (1, "Did not manage to integrate along a Killing vector field line loop")
! qlm_calc_error(hn) = 1
qlm_have_killing_vector(hn) = 0
factor = 1
goto 9999
end if
#endif
if (veryverbose/=0) then
write (msg, '("Normalising xi with the factor ",g16.6)') factor
call CCTK_INFO (msg)
end if
qlm_xi_t(:,:,hn) = qlm_xi_t(:,:,hn) * factor
qlm_xi_p(:,:,hn) = qlm_xi_p(:,:,hn) * factor
qlm_chi (:,:,hn) = qlm_chi (:,:,hn) * factor
if (veryverbose/=0) then
call CCTK_INFO ("Checking normalisation factors for various Killing vector field line loops:")
do ii=1,ngeodesics
i = 1 + qlm_nghoststheta(hn) &
+ ii * (qlm_ntheta(hn) - 2*qlm_nghoststheta(hn) - 1) / (ngeodesics+1)
theta = qlm_origin_theta(hn) + (i-1) * qlm_delta_theta(hn)
call killing_factor (CCTK_PASS_FTOF, hn, theta, factor, nsteps)
end do
end if
! qlm_have_killing_vector(hn) = 1
9999 continue
end subroutine qlm_killing_normalise
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