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|
! $Header$
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.h"
subroutine NoExcision_CGInit_1 (CCTK_ARGUMENTS)
use NoExcision_mod
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
CCTK_INT :: my_level, n_levels
CCTK_INT :: ierr
CCTK_INT, dimension(3) :: sym
nx = cctk_lsh(1); ny = cctk_lsh(2); nz = cctk_lsh(3)
loop_control = 0
call NoExcision_levelinfo ( cctkGH, my_level, n_levels )
if ( my_level == n_levels-1 ) then
where (abs(gxx) < 1d-8 .and. abs(alp) < 1d-8)
nes_mask = 1
elsewhere
nes_mask = 0
end where
call CCTK_INFO ( 'Starting smoothing procedure' )
resgxx = zero; resgxy = zero; resgxz = zero
resgyy = zero; resgyz = zero; resgzz = zero
reskxx = zero; reskxy = zero; reskxz = zero
reskyy = zero; reskyz = zero; reskzz = zero
res = zero; resx = zero; resy = zero; resz = zero
dgxx = zero; dgxy = zero; dgxz = zero
dgyy = zero; dgyz = zero; dgzz = zero
dkxx = zero; dkxy = zero; dkxz = zero
dkyy = zero; dkyz = zero; dkzz = zero
d = zero; dx = zero; dy = zero; dz = zero
qgxx = zero; qgxy = zero; qgxz = zero
qgyy = zero; qgyz = zero; qgzz = zero
qkxx = zero; qkxy = zero; qkxz = zero
qkyy = zero; qkyz = zero; qkzz = zero
q = zero; qx = zero; qy = zero; qz = zero
redgxx = zero; redgxy = zero; redgxz = zero
redgyy = zero; redgyz = zero; redgzz = zero
redkxx = zero; redkxy = zero; redkxz = zero
redkyy = zero; redkyz = zero; redkzz = zero
red = zero; redx = zero; redy = zero; redz = zero
! r = b - A x.
! Since x=0 and we actually use A': b = -A' 0 and r = b = -A' 0.
call residual_all ( gxx, gxy, gxz, gyy, gyz, gzz, &
kxx, kxy, kxz, kyy, kyz, kzz, &
alp, betax, betay, betaz, &
resgxx, resgxy, resgxz, resgyy, resgyz, resgzz, &
reskxx, reskxy, reskxz, reskyy, reskyz, reskzz, &
res, resx, resy, resz, &
nes_mask, -one, smoothing_order )
! d = r = b.
call residual_all ( gxx, gxy, gxz, gyy, gyz, gzz, &
kxx, kxy, kxz, kyy, kyz, kzz, &
alp, betax, betay, betaz, &
dgxx, dgxy, dgxz, dgyy, dgyz, dgzz, &
dkxx, dkxy, dkxz, dkyy, dkyz, dkzz, &
d, dx, dy, dz, &
nes_mask, -one, smoothing_order )
! red = r*r.
call multiply ( resgxx, resgxy, resgxz, resgyy, resgyz, resgzz, &
reskxx, reskxy, reskxz, reskyy, reskyz, reskzz, &
res, resx, resy, resz, &
resgxx, resgxy, resgxz, resgyy, resgyz, resgzz, &
reskxx, reskxy, reskxz, reskyy, reskyz, reskzz, &
res, resx, resy, resz, &
redgxx, redgxy, redgxz, redgyy, redgyz, redgzz, &
redkxx, redkxy, redkxz, redkyy, redkyz, redkzz, &
red, redx, redy, redz, nes_mask )
call CCTK_ReductionArrayHandle ( sum_handle, 'sum' )
if ( sum_handle .lt. 0 ) then
call CCTK_WARN(0,'Could not obtain a handle for sum reduction')
end if
call CCTK_ReductionArrayHandle ( infnorm_handle, 'norm_inf' )
if ( infnorm_handle .lt. 0 ) then
call CCTK_WARN(0,'Could not obtain a handle for norm_inf reduction')
end if
loop_counter = 0
loop_control = 1
sym_selector = 1
end if
end subroutine NoExcision_CGInit_1
subroutine NoExcision_CGInit_2 (CCTK_ARGUMENTS)
use NoExcision_mod
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
CCTK_INT :: res_var, ierr
integer :: i
character(len=56) :: conv_message
if ( loop_control == 1 ) then
do i = 1, 16
if ( cont(i) ) then
call CCTK_VarIndex ( res_var, red_names(i) )
if ( res_var < 0 ) then
call CCTK_WARN ( 0, 'Could not get index to grid function red' )
end if
! delta_new = r^T r.
call CCTK_Reduce ( ierr, cctkGH, -1, sum_handle, 1, &
CCTK_VARIABLE_REAL, delta_new(i), 1, res_var )
call CCTK_Reduce ( ierr, cctkGH, -1, infnorm_handle, 1, &
CCTK_VARIABLE_REAL, infnormresid(i), 1, res_var )
! Since we are reducing r*r, we have to take the square root.
infnormresid(i) = sqrt(infnormresid(i))
end if
end do
! Check if some variables has already converged. This happens when the
! variable is identically zero.
do i = 1, 16
if ( cont(i) ) then
if ( infnormresid(i) < smoothing_eps ) then
write ( conv_message, '(a23,i8,a20,a5)' ) 'CG method converged in ', &
loop_counter, ' steps for variable ', var_names(i)
call CCTK_INFO ( conv_message )
cont(i) = .false.
end if
end if
end do
if ( .not. any ( cont ) ) then
loop_control = 0
end if
end if
end subroutine NoExcision_CGInit_2
subroutine NoExcision_CG_1 (CCTK_ARGUMENTS)
use NoExcision_mod
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
nx = cctk_lsh(1); ny=cctk_lsh(2); nz = cctk_lsh(3)
loop_counter = loop_counter + 1
! Since d is zero outside of the active region we have:
! q = A d = A' d.
call residual_all ( dgxx, dgxy, dgxz, dgyy, dgyz, dgzz, &
dkxx, dkxy, dkxz, dkyy, dkyz, dkzz, &
d, dx, dy, dz, &
qgxx, qgxy, qgxz, qgyy, qgyz, qgzz, &
qkxx, qkxy, qkxz, qkyy, qkyz, qkzz, &
q, qx, qy, qz, &
nes_mask, one, smoothing_order )
! red = d*q = d*(A d)
call multiply ( dgxx, dgxy, dgxz, dgyy, dgyz, dgzz, &
dkxx, dkxy, dkxz, dkyy, dkyz, dkzz, &
d, dx, dy, dz, &
qgxx, qgxy, qgxz, qgyy, qgyz, qgzz, &
qkxx, qkxy, qkxz, qkyy, qkyz, qkzz, &
q, qx, qy, qz, &
redgxx, redgxy, redgxz, redgyy, redgyz, redgzz, &
redkxx, redkxy, redkxz, redkyy, redkyz, redkzz, &
red, redx, redy, redz, nes_mask )
sym_selector = 2
end subroutine NoExcision_CG_1
subroutine NoExcision_CG_2 (CCTK_ARGUMENTS)
use NoExcision_mod
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
CCTK_INT res_var, ierr
integer :: i
if ( loop_control == 1 ) then
do i = 1, 16
if ( cont(i) ) then
call CCTK_VarIndex ( res_var, red_names(i) )
if ( res_var < 0 ) then
call CCTK_WARN ( 0, 'Could not get index to grid function red' )
end if
! alpha = delta_new / ( d^T A d ).
call CCTK_Reduce ( ierr, cctkGH, -1, sum_handle, 1, &
CCTK_VARIABLE_REAL, alpha(i), 1, res_var )
alpha(i) = delta_new(i) / alpha(i)
end if
end do
end if
end subroutine NoExcision_CG_2
subroutine NoExcision_CG_3 (CCTK_ARGUMENTS)
use NoExcision_mod
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
nx = cctk_lsh(1); ny=cctk_lsh(2); nz = cctk_lsh(3)
! x = x + alpha * d.
call multiply_sum ( gxx, gxy, gxz, gyy, gyz, gzz, &
kxx, kxy, kxz, kyy, kyz, kzz, &
alp, betax, betay, betaz, &
dgxx, dgxy, dgxz, dgyy, dgyz, dgzz, &
dkxx, dkxy, dkxz, dkyy, dkyz, dkzz, &
d, dx, dy, dz, &
(/ (one, i=1, 16) /), alpha, nes_mask )
if ( mod ( loop_counter, 50 ) == 0 ) then
! Restart:
! r = b - A x = - A' x
call residual_all ( gxx, gxy, gxz, gyy, gyz, gzz, &
kxx, kxy, kxz, kyy, kyz, kzz, &
alp, betax, betay, betaz, &
resgxx, resgxy, resgxz, resgyy, resgyz, resgzz, &
reskxx, reskxy, reskxz, reskyy, reskyz, reskzz, &
res, resx, resy, resz, &
nes_mask, -one, smoothing_order )
else
! r = r - alpha q.
call multiply_sum ( resgxx, resgxy, resgxz, resgyy, resgyz, resgzz, &
reskxx, reskxy, reskxz, reskyy, reskyz, reskzz, &
res, resx, resy, resz, &
qgxx, qgxy, qgxz, qgyy, qgyz, qgzz, &
qkxx, qkxy, qkxz, qkyy, qkyz, qkzz, &
q, qx, qy, qz, &
(/ (one, i=1, 16) /), -alpha, nes_mask )
end if
! delta_old = delta_new.
where ( cont ) delta_old = delta_new
! red = r*r.
call multiply ( resgxx, resgxy, resgxz, resgyy, resgyz, resgzz, &
reskxx, reskxy, reskxz, reskyy, reskyz, reskzz, &
res, resx, resy, resz, &
resgxx, resgxy, resgxz, resgyy, resgyz, resgzz, &
reskxx, reskxy, reskxz, reskyy, reskyz, reskzz, &
res, resx, resy, resz, &
redgxx, redgxy, redgxz, redgyy, redgyz, redgzz, &
redkxx, redkxy, redkxz, redkyy, redkyz, redkzz, &
red, redx, redy, redz, nes_mask )
sym_selector = 3
end subroutine NoExcision_CG_3
subroutine NoExcision_CG_4 (CCTK_ARGUMENTS)
use NoExcision_mod
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
CCTK_INT res_var, ierr
integer :: i
if ( loop_control == 1 ) then
do i = 1, 16
if ( cont(i) ) then
call CCTK_VarIndex ( res_var, red_names(i) )
if ( res_var < 0 ) then
call CCTK_WARN ( 0, 'Could not get index to grid function red' )
end if
! delta_new = r^T r.
call CCTK_Reduce ( ierr, cctkGH, -1, sum_handle, 1, &
CCTK_VARIABLE_REAL, delta_new(i), 1, res_var )
call CCTK_Reduce ( ierr, cctkGH, -1, infnorm_handle, 1, &
CCTK_VARIABLE_REAL, infnormresid(i), 1, res_var )
infnormresid(i) = sqrt(infnormresid(i))
end if
end do
end if
end subroutine NoExcision_CG_4
subroutine NoExcision_CG_5 (CCTK_ARGUMENTS)
use NoExcision_mod
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
integer :: i
character(len=192) :: res_message, var_message
character(len=56) :: conv_message
character(len=18) :: iter_message
nx = cctk_lsh(1); ny=cctk_lsh(2); nz = cctk_lsh(3)
! beta = delta_new / delta_old
where ( cont ) beta = delta_new / delta_old
! d = r + beta d
call multiply_sum ( dgxx, dgxy, dgxz, dgyy, dgyz, dgzz, &
dkxx, dkxy, dkxz, dkyy, dkyz, dkzz, &
d, dx, dy, dz, &
resgxx, resgxy, resgxz, resgyy, resgyz, resgzz, &
reskxx, reskxy, reskxz, reskyy, reskyz, reskzz, &
res, resx, resy, resz, &
beta, (/ (one, i=1, 16) /), nes_mask )
if ( verbose > 0 .and. mod(loop_counter,100) == 0 ) then
write (var_message, '(16(a3,a9))' ) (' | ', var_names(i), i=1, 16)
call CCTK_INFO ( var_message )
end if
if ( verbose > 0 .and. mod(loop_counter,10) == 0 ) then
write (iter_message, '(a10,i8)' ), 'Iteration ', loop_counter
write (res_message, '(16(a3,es9.3))' ) (' | ', infnormresid(i), i=1, 16 )
call CCTK_INFO ( iter_message )
call CCTK_INFO ( res_message )
end if
! Check if any variables have converged during this iteration.
do i = 1, 16
if ( cont(i) ) then
if ( infnormresid(i) < smoothing_eps ) then
write ( conv_message, '(a23,i8,a20,a5)' ) 'CG method converged in ', &
loop_counter, ' steps for variable ', var_names(i)
call CCTK_INFO ( conv_message )
cont(i) = .false.
end if
end if
end do
! If all variables have converged we exit.
if ( .not. any ( cont ) ) then
loop_control = 0
end if
sym_selector = 4
end subroutine NoExcision_CG_5
! I leave this in here in case somebody uses CartGrid3D symmetries...
! Not tested, though...
subroutine NoExcision_SetSym(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
CCTK_INT :: ierr
CCTK_INT, dimension(3) :: sym
sym = 1
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::resgxx' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::resgyy' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::resgzz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::reskxx' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::reskyy' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::reskzz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dgxx' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dgyy' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dgzz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dkxx' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dkyy' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dkzz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qgxx' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qgyy' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qgzz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qkxx' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qkyy' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qkzz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::res' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::d' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::q' )
call SetCartSymGN ( ierr, cctkGH, sym, 'noexcision::cg_red_all' )
sym(1) = -1; sym(2) = -1; sym(3) = 1
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::resgxy' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::reskxy' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dgxy' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dkxy' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qgxy' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qkxy' )
sym(1) = -1; sym(2) = 1; sym(3) = -1
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::resgxz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::reskxz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dgxz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dkxz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qgxz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qkxz' )
sym(1) = 1; sym(2) = -1; sym(3) = -1
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::resgyz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::reskyz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dgyz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dkyz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qgyz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qkyz' )
sym(1) = -1; sym(2) = 1; sym(3) = 1
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::resx' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dx' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qx' )
sym(1) = 1; sym(2) = -1; sym(3) = 1
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::resy' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dy' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qy' )
sym(1) = 1; sym(2) = 1; sym(3) = -1
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::resz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::dz' )
call SetCartSymVN ( ierr, cctkGH, sym, 'noexcision::qz' )
end subroutine NoExcision_SetSym
subroutine NoExcision_CGApplySym(CCTK_ARGUMENTS)
use NoExcision_mod
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: ierr
if ( loop_control > 0 ) then
if ( sym_selector <1 .or. sym_selector > 4 ) then
call CCTK_WARN ( 0, 'Internal error. Inconsistent symmetry selector' )
end if
select case ( sym_selector )
case (1, 4)
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'NoExcision::cg_d_lapse', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select cg_d_lapse for boundary condition' )
end if
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'NoExcision::cg_d_shift', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select cg_d_shift for boundary condition' )
end if
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'NoExcision::cg_d_curv', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select cg_d_curv for boundary condition' )
end if
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'NoExcision::cg_d_metric', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select cg_d_metric for boundary condition' )
end if
end select
select case ( sym_selector )
case (1, 3)
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'NoExcision::cg_res_lapse', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select cg_res_lapse for boundary condition' )
end if
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'NoExcision::cg_res_shift', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select cg_res_shift for boundary condition' )
end if
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'NoExcision::cg_res_curv', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select cg_res_curv for boundary condition' )
end if
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'NoExcision::cg_res_metric', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select cg_res_metric for boundary condition' )
end if
end select
select case ( sym_selector )
case (1, 2, 3)
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'NoExcision::cg_red_all', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select cg_red_all for boundary condition' )
end if
end select
select case ( sym_selector )
case (2)
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'NoExcision::cg_q_lapse', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select cg_q_lapse for boundary condition' )
end if
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'NoExcision::cg_q_shift', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select cg_q_shift for boundary condition' )
end if
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'NoExcision::cg_q_curv', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select cg_q_curv for boundary condition' )
end if
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'NoExcision::cg_q_metric', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select cg_q_metric for boundary condition' )
end if
end select
select case ( sym_selector )
case (3)
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'ADMBase::lapse', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select lapse for boundary condition' )
end if
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'ADMBase::shift', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select shift for boundary condition' )
end if
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'ADMBase::curv', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select curv for boundary condition' )
end if
ierr = Boundary_SelectGroupForBC ( cctkGH, CCTK_ALL_FACES, 1, -1, &
'ADMBase::metric', 'None' )
if ( ierr /= 0 ) then
call CCTK_WARN ( 0, 'Could not select metric for boundary condition' )
end if
end select
end if
end subroutine NoExcision_CGApplySym
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