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#include "cctk.h"
c ========================================================================
SUBROUTINE D3_to_D2(cctkGH,conformal_state,do_ADMmass,do_momentum,do_spin,
& Psi_power,origin,myproc,interpolation_order,Dx,Dy,Dz,Psi,
& g00,gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& x,y,z,eta,Nt,Np,theta,phi,
& Psis,g00s,gxxs,gxys,gxzs,gyys,gyzs,gzzs,dPsis,dgxxs,dgxys,dgxzs,
& dgyys,dgyzs,dgzzs,ADMmass_int1,ADMmass_int2,
& momentum_int1,momentum_int2,momentum_int3,
& spin_int1,spin_int2,spin_int3,Extract_temp3d)
c ------------------------------------------------------------------------
c
c Project the 3-metric and its 1st radial derivatives onto a 2-sphere.
c
c ------------------------------------------------------------------------
USE met_rad_der_int
USE ADMmass_integrand3D_int
USE momentum_integrand3D_int
USE spin_integrand3D_int
IMPLICIT NONE
DECLARE_CCTK_FUNCTIONS
c Input variables
CCTK_POINTER :: cctkGH
INTEGER,INTENT(IN) ::
& conformal_state,myproc,Psi_power
CCTK_INT, INTENT(IN) ::
& Nt,Np,do_momentum,do_spin,interpolation_order
CCTK_REAL,INTENT(IN) ::
& origin(3),Dx,Dy,Dz,eta
CCTK_REAL,INTENT(IN),DIMENSION(:) ::
& theta,phi,x,y,z
CCTK_REAL,INTENT(IN),DIMENSION(:,:,:) ::
& Psi,g00,gxx,gxy,gxz,gyy,gyz,gzz,
& hxx,hxy,hxz,hyy,hyz,hzz
CCTK_REAL,INTENT(INOUT),DIMENSION(:,:,:) ::
& Extract_temp3d
LOGICAL ::
& do_ADMmass(2)
c Output variables
CCTK_REAL,INTENT(OUT),DIMENSION(:,:) ::
& Psis,g00s,gxxs,gxys,gxzs,gyys,
& gyzs,gzzs,dPsis,dgxxs,dgxys,dgxzs,dgyys,dgyzs,dgzzs,
& ADMmass_int1,ADMmass_int2,
& momentum_int1,momentum_int2,momentum_int3,
& spin_int1,spin_int2,spin_int3
c Local variables, passed on
LOGICAL ::
& err_flag
INTEGER ::
& iorder,npoints,Nx,Ny,Nz
INTEGER,DIMENSION(Nt,Np) ::
& ib,jb,kb
CCTK_REAL,DIMENSION(Nt,Np) ::
& xs,ys,zs,ux,uy,uz,xb,yb,zb
c Local variables, here only
INTEGER :: i, j, num_arrays, ierror
INTEGER :: interp_handle, param_table_handle, coord_system_handle
CCTK_POINTER, dimension(3) :: interp_coords
INTEGER, dimension(8) :: in_array_indices
CCTK_POINTER, dimension(8) :: out_arrays
CCTK_INT, dimension(8) :: out_array_type_codes
character(30) options_string
c ------------------------------------------------------------------------
c Initial Stuff
c -------------
Nx = SIZE(x)
Ny = SIZE(y)
Nz = SIZE(z)
c Compute Cartesian coordinates on the surface
c --------------------------------------------
DO j = 1, Np
DO i = 1, Nt
xs(i,j) = origin(1)+eta*SIN(theta(i))*COS(phi(j))
ys(i,j) = origin(2)+eta*SIN(theta(i))*SIN(phi(j))
zs(i,j) = origin(3)+eta*COS(theta(i))
ENDDO
ENDDO
c Only do interpolation on one processor
c --------------------------------------
SELECT CASE (myproc)
CASE (0)
npoints = Np*Nt
CASE DEFAULT
npoints = 0
END SELECT
c Get the interpolator, parameter table, and coordinate system handles
c --------------------------------------------------------------------
interp_handle = -1
param_table_handle = -1
coord_system_handle = -1
call CCTK_InterpHandle (interp_handle,"Lagrange polynomial interpolation")
if (interp_handle .lt. 0) then
call CCTK_WARN(0,"Cannot get handle for interpolation ! Forgot to activate an implementation providing interpolation operators ??")
endif
options_string = "order = " // char(ichar('0') + interpolation_order)
call Util_TableCreateFromString (param_table_handle, options_string)
if (param_table_handle .lt. 0) then
call CCTK_WARN(0,"Cannot create parameter table for interpolator")
endif
call CCTK_CoordSystemHandle (coord_system_handle, "cart3d")
if (coord_system_handle .lt. 0) then
call CCTK_WARN(0,"Cannot get handle for cart3d coordinate system ! Forgot to activate an implementation providing coordinates ??")
endif
c fill in the input/output arrays for the interpolator
c ----------------------------------------------------
interp_coords(1) = CCTK_PointerTo(xs)
interp_coords(2) = CCTK_PointerTo(ys)
interp_coords(3) = CCTK_PointerTo(zs)
call CCTK_VarIndex(in_array_indices(1), "extract::g00")
call CCTK_VarIndex(in_array_indices(2), "admbase::gxx")
call CCTK_VarIndex(in_array_indices(3), "admbase::gxy")
call CCTK_VarIndex(in_array_indices(4), "admbase::gxz")
call CCTK_VarIndex(in_array_indices(5), "admbase::gyy")
call CCTK_VarIndex(in_array_indices(6), "admbase::gyz")
call CCTK_VarIndex(in_array_indices(7), "admbase::gzz")
call CCTK_VarIndex(in_array_indices(8), "staticconformal::psi")
out_arrays(1) = CCTK_PointerTo(g00s)
out_arrays(2) = CCTK_PointerTo(gxxs)
out_arrays(3) = CCTK_PointerTo(gxys)
out_arrays(4) = CCTK_PointerTo(gxzs)
out_arrays(5) = CCTK_PointerTo(gyys)
out_arrays(6) = CCTK_PointerTo(gyzs)
out_arrays(7) = CCTK_PointerTo(gzzs)
out_arrays(8) = CCTK_PointerTo(Psis)
out_array_type_codes = CCTK_VARIABLE_REAL
c Project un-physical metric and conformal factor onto sphere
c ------------------------------------------------------------
if (conformal_state > 0) then
num_arrays = 8
else
num_arrays = 7
end if
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ num_arrays, in_array_indices,
$ num_arrays, out_array_type_codes, out_arrays)
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
c Calculate radial derivatives and project onto sphere
c ----------------------------------------------------
call CCTK_VarIndex(in_array_indices(1), "extract::temp3d")
if (conformal_state > 0) then
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,Psi,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(dPsis)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
end if
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,gxx,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(dgxxs)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,gxy,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(dgxys)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,gxz,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(dgxzs)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,gyy,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(dgyys)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,gyz,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(dgyzs)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
CALL met_rad_der(origin,Dx,Dy,Dz,x,y,z,gzz,Extract_temp3d)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(dgzzs)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
c Calculate integrands for ADM masses
c -----------------------------------
c Standard equation
IF (do_ADMmass(1)) THEN
CALL ADMmass_integrand3D(origin,Dx,Dy,Dz,x,y,z,gxx,gxy,
& gxz,gyy,gyz,gzz,Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(ADMmass_int1)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
END IF
c Conformal equation
IF (do_ADMmass(2)) THEN
ADMmass_int2 = -eta**2/2D0/3.1416D0*dPsis
ENDIF
c Calculate integrands for momentum
c ---------------------------------
IF (do_momentum==1) THEN
CALL momentum_integrand3D(origin,Dx,Dy,Dz,x,y,z,
& gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(momentum_int1)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
CALL momentum_integrand3D(origin,Dx,Dy,Dz,x,y,z,
& gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(momentum_int2)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
CALL momentum_integrand3D(origin,Dx,Dy,Dz,x,y,z,
& gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(momentum_int3)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
END IF
c Calculate integrands for spin
c -----------------------------
IF (do_spin==1) THEN
CALL spin_integrand3D(origin,x,y,z,
& gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(spin_int1)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
CALL spin_integrand3D(origin,x,y,z,
& gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(spin_int2)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
CALL spin_integrand3D(origin,x,y,z,
& gxx,gxy,gxz,gyy,gyz,gzz,hxx,hxy,hxz,hyy,hyz,hzz,
& Extract_temp3d,Psi,Psi_power,conformal_state)
CALL CCTK_SyncGroup(ierror,cctkGH,"extract::temps")
out_arrays(1) = CCTK_PointerTo(spin_int3)
call CCTK_InterpGridArrays (ierror, cctkGH, 3, interp_handle,
$ param_table_handle, coord_system_handle,
$ npoints, CCTK_VARIABLE_REAL, interp_coords,
$ 1, in_array_indices(1),
$ 1, out_array_type_codes, out_arrays(1))
if (ierror < 0) then
call CCTK_WARN (1, "interpolator call returned an error code");
endif
END IF
END SUBROUTINE D3_to_D2
|
