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#include <math.h>
#include <cctk.h>
#include <cctk_Arguments.h>
#include <cctk_Parameters.h>
CCTK_INT find_closest(const cGH *cctkGH, CCTK_INT *cctk_lsh,
CCTK_REAL *x, CCTK_REAL x_min, CCTK_INT dir)
{
CCTK_INT i, ijk, min_i = -1;
CCTK_REAL min = 1.e100;
for(i=3; i<cctk_lsh[dir]-3; i++)
{
ijk = CCTK_GFINDEX3D(cctkGH, (dir==0)?i:0, (dir==1)?i:0, (dir==2)?i:0);
if (fabs(x[ijk] - x_min) < min)
{
min = fabs(x[ijk] - x_min);
min_i = i;
}
}
return min_i;
}
void ADMMass_Surface(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
CCTK_INT i,j,k, ijk;
CCTK_REAL x_min, x_max, y_min, y_max, z_min, z_max;
CCTK_INT x_min_i, x_max_i, y_min_j, y_max_j, z_min_k, z_max_k, min;
CCTK_REAL detg, idetg, ds[3];
CCTK_REAL u[3][3], dg[3][3][3];
CCTK_REAL local_sum = 0.0;
/* grid-function strides for ADMMacros */
const CCTK_INT di = 1;
const CCTK_INT dj = cctk_lsh[0];
const CCTK_INT dk = cctk_lsh[0]*cctk_lsh[1];
if (ADMMass_boundary_distance[*ADMMass_LoopCounter] > 0.0)
{
x_min = ADMMass_x_pos[*ADMMass_LoopCounter] -
ADMMass_boundary_distance[*ADMMass_LoopCounter];
x_max = ADMMass_x_pos[*ADMMass_LoopCounter] +
ADMMass_boundary_distance[*ADMMass_LoopCounter];
y_min = ADMMass_y_pos[*ADMMass_LoopCounter] -
ADMMass_boundary_distance[*ADMMass_LoopCounter];
y_max = ADMMass_y_pos[*ADMMass_LoopCounter] +
ADMMass_boundary_distance[*ADMMass_LoopCounter];
z_min = ADMMass_z_pos[*ADMMass_LoopCounter] -
ADMMass_boundary_distance[*ADMMass_LoopCounter];
z_max = ADMMass_z_pos[*ADMMass_LoopCounter] +
ADMMass_boundary_distance[*ADMMass_LoopCounter];
}
else
{
x_min = ADMMass_x_min[*ADMMass_LoopCounter];
x_max = ADMMass_x_max[*ADMMass_LoopCounter];
y_min = ADMMass_y_min[*ADMMass_LoopCounter];
y_max = ADMMass_y_max[*ADMMass_LoopCounter];
z_min = ADMMass_z_min[*ADMMass_LoopCounter];
z_max = ADMMass_z_max[*ADMMass_LoopCounter];
}
x_min_i = find_closest(cctkGH, cctk_lsh, x, x_min, 0);
x_max_i = find_closest(cctkGH, cctk_lsh, x, x_max, 0);
y_min_j = find_closest(cctkGH, cctk_lsh, y, y_min, 1);
y_max_j = find_closest(cctkGH, cctk_lsh, y, y_max, 1);
z_min_k = find_closest(cctkGH, cctk_lsh, z, z_min, 2);
z_max_k = find_closest(cctkGH, cctk_lsh, z, z_max, 2);
#include "CactusEinstein/ADMMacros/src/macro/UPPERMET_declare.h"
#include "CactusEinstein/ADMMacros/src/macro/DG_declare.h"
#include "CactusEinstein/ADMMacros/src/macro/ADM_Spacing_declare.h"
for(i=3; i<cctk_lsh[0]-3; i++)
for(j=3; j<cctk_lsh[1]-3; j++)
for(k=3; k<cctk_lsh[2]-3; k++)
{
ijk = CCTK_GFINDEX3D(cctkGH, i, j, k);
ADMMass_SurfaceMass_GF[ijk] = 0.0;
if ((i >= x_min_i) &&
(i <= x_max_i) &&
(j >= y_min_j) &&
(j <= y_max_j) &&
(k >= z_min_k) &&
(k <= z_max_k))
{
ds[0] = 0.0;
ds[1] = 0.0;
ds[2] = 0.0;
#include "CactusEinstein/ADMMacros/src/macro/ADM_Spacing.h"
if ((i == x_min_i) && (j != y_max_j) && (k != z_max_k))
ds[0] = -dy*dz;
if ((i == x_max_i) && (j != y_max_j) && (k != z_max_k))
ds[0] = dy*dz;
if ((j == y_min_j) && (i != x_max_i) && (k != z_max_k))
ds[1] = -dx*dz;
if ((j == y_max_j) && (i != x_max_i) && (k != z_max_k))
ds[1] = dx*dz;
if ((k == z_min_k) && (j != y_max_j) && (i != x_max_i))
ds[2] = -dx*dy;
if ((k == z_max_k) && (j != y_max_j) && (i != x_max_i))
ds[2] = dx*dy;
if ((ds[0] != 0.0) || (ds[1] != 0.0) || (ds[2] != 0.0))
{
#include "CactusEinstein/ADMMacros/src/macro/UPPERMET_guts.h"
#include "CactusEinstein/ADMMacros/src/macro/DG_guts.h"
u[0][0] = UPPERMET_UXX;
u[0][1] = UPPERMET_UXY;
u[0][2] = UPPERMET_UXZ;
u[1][0] = UPPERMET_UXY;
u[1][1] = UPPERMET_UYY;
u[1][2] = UPPERMET_UYZ;
u[2][0] = UPPERMET_UXZ;
u[2][1] = UPPERMET_UYZ;
u[2][2] = UPPERMET_UZZ;
dg[0][0][0] = DXDG_DXDGXX;
dg[0][0][1] = DYDG_DYDGXX;
dg[0][0][2] = DZDG_DZDGXX;
dg[0][1][0] = DXDG_DXDGXY;
dg[0][1][1] = DYDG_DYDGXY;
dg[0][1][2] = DZDG_DZDGXY;
dg[0][2][0] = DXDG_DXDGXZ;
dg[0][2][1] = DYDG_DYDGXZ;
dg[0][2][2] = DZDG_DZDGXZ;
dg[1][0][0] = DXDG_DXDGXY;
dg[1][0][1] = DYDG_DYDGXY;
dg[1][0][2] = DZDG_DZDGXY;
dg[1][1][0] = DXDG_DXDGYY;
dg[1][1][1] = DYDG_DYDGYY;
dg[1][1][2] = DZDG_DZDGYY;
dg[1][2][0] = DXDG_DXDGYZ;
dg[1][2][1] = DYDG_DYDGYZ;
dg[1][2][2] = DZDG_DZDGYZ;
dg[2][0][0] = DXDG_DXDGXZ;
dg[2][0][1] = DYDG_DYDGXZ;
dg[2][0][2] = DZDG_DZDGXZ;
dg[2][1][0] = DXDG_DXDGYZ;
dg[2][1][1] = DYDG_DYDGYZ;
dg[2][1][2] = DZDG_DZDGYZ;
dg[2][2][0] = DXDG_DXDGZZ;
dg[2][2][1] = DYDG_DYDGZZ;
dg[2][2][2] = DZDG_DZDGZZ;
for (int ti = 0; ti < 3; ti++)
for (int tj = 0; tj < 3; tj++)
for (int tk = 0; tk < 3; tk++)
for (int tl = 0; tl < 3; tl++)
ADMMass_SurfaceMass_GF[ijk] +=
u[ti][tj] * u[tk][tl] *
( dg[ti][tk][tj] - dg[ti][tj][tk] ) * ds[tk];
ADMMass_SurfaceMass_GF[ijk] *= sqrt(DETG_DETG) / 16 / 3.14159265;
local_sum += ADMMass_SurfaceMass_GF[ijk];
}
}
}
#include "CactusEinstein/ADMMacros/src/macro/UPPERMET_undefine.h"
#include "CactusEinstein/ADMMacros/src/macro/DG_undefine.h"
#include "CactusEinstein/ADMMacros/src/macro/ADM_Spacing_undefine.h"
/*CCTK_VInfo(CCTK_THORNSTRING,
* "ADM mass local to one processor (surface): %g\n", local_sum);
*/
}
void ADMMass_Surface_Global(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
CCTK_INT reduction_handle;
reduction_handle = CCTK_ReductionHandle("sum");
if (reduction_handle < 0)
CCTK_WARN(0, "Unable to ge reduction handle.");
if (CCTK_Reduce(cctkGH, -1, reduction_handle, 1,
CCTK_VARIABLE_REAL,
&ADMMass_SurfaceMass[*ADMMass_LoopCounter], 1,
CCTK_VarIndex("ADMMass::ADMMass_SurfaceMass_GF")))
CCTK_WARN(0, "Error while reducing ADMMass_SurfaceMass_GF");
CCTK_VInfo(CCTK_THORNSTRING,
"ADM mass, surface, detector %d: %g %g\n", *ADMMass_LoopCounter,
ADMMass_boundary_distance[*ADMMass_LoopCounter],
ADMMass_SurfaceMass[*ADMMass_LoopCounter]);
}
void ADMMass_Surface_Lapse(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
CCTK_INT i,j,k, ijk;
CCTK_REAL local_sum = 0.0;
for(i=3; i<cctk_lsh[0]-3; i++)
for(j=3; j<cctk_lsh[1]-3; j++)
for(k=3; k<cctk_lsh[2]-3; k++)
{
ijk = CCTK_GFINDEX3D(cctkGH, i, j, k);
ADMMass_SurfaceMass_GF[ijk] *= alp[ijk];
local_sum += ADMMass_SurfaceMass_GF[ijk];
}
}
void ADMMass_Surface_Lapse_Global(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
CCTK_INT reduction_handle;
reduction_handle = CCTK_ReductionHandle("sum");
if (reduction_handle < 0)
CCTK_WARN(0, "Unable to ge reduction handle.");
if (CCTK_Reduce(cctkGH, -1, reduction_handle, 1,
CCTK_VARIABLE_REAL,
&ADMMass_SurfaceMass_Lapse[*ADMMass_LoopCounter], 1,
CCTK_VarIndex("ADMMass::ADMMass_SurfaceMass_GF")))
CCTK_WARN(0, "Error while reducing ADMMass_SurfaceMass_GF");
CCTK_VInfo(CCTK_THORNSTRING,
"ADM mass, surface lapse, detector %d: %g %g\n",
*ADMMass_LoopCounter,
ADMMass_boundary_distance[*ADMMass_LoopCounter],
ADMMass_SurfaceMass_Lapse[*ADMMass_LoopCounter]);
}
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