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// driver.cc -- top level driver for finding apparent horizons
// $Id$
//
// <<<prototypes for functions local to this file>>>
// AHFinderDirect_driver - top-level driver
/// setup_ellipsoid_initial_guess - set up ellipsoid in h gridfn
//
#include <stdio.h>
#include <assert.h>
#include <math.h>
#include <vector>
#include "util_Table.h"
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "stdc.h"
#include "config.hh"
#include "../jtutil/util.hh"
#include "../jtutil/array.hh"
#include "../jtutil/cpm_map.hh"
#include "../jtutil/linear_map.hh"
using jtutil::error_exit;
#include "../util/coords.hh"
#include "../util/grid.hh"
#include "../util/fd_grid.hh"
#include "../util/patch.hh"
#include "../util/patch_edge.hh"
#include "../util/patch_interp.hh"
#include "../util/ghost_zone.hh"
#include "../util/patch_system.hh"
#include "gfn.hh"
#include "AHFinderDirect.hh"
//******************************************************************************
//
// ***** prototypes for functions local to this file *****
//
namespace {
void setup_ellipsoid_initial_guess
(patch_system& ps,
fp global_center_x, fp global_center_y, fp global_center_z,
fp radius_x, fp radius_y, fp radius_z);
};
//******************************************************************************
//
// This function is the Cactus interface for the test driver.
//
extern "C"
void AHFinderDirect_driver(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
CCTK_VInfo(CCTK_THORNSTRING, "initializing AHFinderDirect data structures");
//
// set up the geometry interpolator
//
struct geometry_interpolator_info gii;
CCTK_VInfo(CCTK_THORNSTRING, " setting up geometry interpolator");
gii.operator_handle = CCTK_InterpHandle(geometry_interpolator_name);
if (gii.operator_handle < 0)
then CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"couldn't find interpolator \"%s\"!",
geometry_interpolator_name); /*NOTREACHED*/
gii.param_table_handle = Util_TableCreateFromString(geometry_interpolator_pars);
if (gii.param_table_handle < 0)
then CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"bad geometry-interpolator parameter(s) \"%s\"!",
geometry_interpolator_pars); /*NOTREACHED*/
//
// set up the interpatch interpolator
//
CCTK_VInfo(CCTK_THORNSTRING, " setting up interpatch interpolator");
const int interp_handle = CCTK_InterpHandle(interpatch_interpolator_name);
if (interp_handle < 0)
then CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"couldn't find interpolator \"%s\"!",
interpatch_interpolator_name); /*NOTREACHED*/
const int interp_param_table_handle
= Util_TableCreateFromString(interpatch_interpolator_pars);
if (interp_param_table_handle < 0)
then CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"bad interpatch-interpolator parameter(s) \"%s\"!",
interpatch_interpolator_pars); /*NOTREACHED*/
//
// set up the Cactus grid info
//
CCTK_VInfo(CCTK_THORNSTRING, " setting up Cactus grid info");
struct cactus_grid_info cgi;
cgi.GH = cctkGH;
cgi.coord_origin[0] = cctk_origin_space[0];
cgi.coord_origin[1] = cctk_origin_space[1];
cgi.coord_origin[2] = cctk_origin_space[2];
cgi.coord_delta[0] = cctk_delta_space[0];
cgi.coord_delta[1] = cctk_delta_space[1];
cgi.coord_delta[2] = cctk_delta_space[2];
cgi.gridfn_dims[0] = cctk_lsh[0];
cgi.gridfn_dims[1] = cctk_lsh[1];
cgi.gridfn_dims[2] = cctk_lsh[2];
cgi.g_dd_11_data = static_cast<const fp *>(
CCTK_VarDataPtr(cctkGH, 0, "einstein::gxx")
);
cgi.g_dd_12_data = static_cast<const fp *>(
CCTK_VarDataPtr(cctkGH, 0, "einstein::gxy")
);
cgi.g_dd_13_data = static_cast<const fp *>(
CCTK_VarDataPtr(cctkGH, 0, "einstein::gxz")
);
cgi.g_dd_22_data = static_cast<const fp *>(
CCTK_VarDataPtr(cctkGH, 0, "einstein::gyy")
);
cgi.g_dd_23_data = static_cast<const fp *>(
CCTK_VarDataPtr(cctkGH, 0, "einstein::gyz")
);
cgi.g_dd_33_data = static_cast<const fp *>(
CCTK_VarDataPtr(cctkGH, 0, "einstein::gzz")
);
cgi.K_dd_11_data = static_cast<const fp *>(
CCTK_VarDataPtr(cctkGH, 0, "einstein::kxx")
);
cgi.K_dd_12_data = static_cast<const fp *>(
CCTK_VarDataPtr(cctkGH, 0, "einstein::kxy")
);
cgi.K_dd_13_data = static_cast<const fp *>(
CCTK_VarDataPtr(cctkGH, 0, "einstein::kxz")
);
cgi.K_dd_22_data = static_cast<const fp *>(
CCTK_VarDataPtr(cctkGH, 0, "einstein::kyy")
);
cgi.K_dd_23_data = static_cast<const fp *>(
CCTK_VarDataPtr(cctkGH, 0, "einstein::kyz")
);
cgi.K_dd_33_data = static_cast<const fp *>(
CCTK_VarDataPtr(cctkGH, 0, "einstein::kzz")
);
//
// create the patch system and initialize the xyz derivative coefficients
//
CCTK_VInfo(CCTK_THORNSTRING, " creating patch system");
patch_system ps(origin_x, origin_y, origin_z,
patch_system::type_of_name(patch_system_type),
N_ghost_points, N_overlap_points, delta_drho_dsigma,
nominal_gfns::min_gfn, nominal_gfns::max_gfn,
ghosted_gfns::min_gfn, ghosted_gfns::max_gfn,
interp_handle, interp_param_table_handle);
//
// set up the initial guess for the apparent horizon shape
//
if (STRING_EQUAL(initial_guess_method, "read from file"))
then {
CCTK_VInfo(CCTK_THORNSTRING,
" reading initial guess from \"%s\"",
initial_guess__read_from_file__file_name);
ps.read_ghosted_gridfn(ghosted_gfns::gfn__h,
initial_guess__read_from_file__file_name,
false); // no ghost zones
}
else if (STRING_EQUAL(initial_guess_method, "ellipsoid"))
then {
setup_ellipsoid_initial_guess(ps,
initial_guess__ellipsoid__center_global_x,
initial_guess__ellipsoid__center_global_y,
initial_guess__ellipsoid__center_global_z,
initial_guess__ellipsoid__radius_x,
initial_guess__ellipsoid__radius_y,
initial_guess__ellipsoid__radius_z);
ps.print_ghosted_gridfn_with_xyz(ghosted_gfns::gfn__h,
true, ghosted_gfns::gfn__h,
"h.dat",
false); // no ghost zones
}
else CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"unknown initial_guess_method=\"%s\"!",
initial_guess_method); /*NOTREACHED*/
//
// find the apparent horizon
//
if (STRING_EQUAL(method, "horizon"))
then {
horizon_function(ps, cgi, gii, false);
ps.print_gridfn_with_xyz(nominal_gfns::gfn__H,
true, ghosted_gfns::gfn__h,
"H.dat");
}
else CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"unknown method=\"%s\"!",
method); /*NOTREACHED*/
}
//******************************************************************************
//
// This function sets up an ellipsoid in the gridfn h, using the
// formulas in "ellipsoid.maple" and the Maple-generated C code in
// "ellipsoid.c":
//
// ellipsoid has center (A,B,C), radius (a,b,c)
// angular coordinate system has center (U,V,W)
//
// direction cosines wrt angular coordinate center are (xcos,ycos,zcos)
// i.e. a point has coordinates (U+xcos*r, V+ycos*r, W+zcos*r)
//
// then the equation of the ellipsoid is
// (U+xcos*r - A)^2 (V+ycos*r - B)^2 (W+zcos*r - C)^2
// ----------------- + ---------------- + ----------------- = 1
// a^2 b^2 c^2
//
// to solve this, we introduce intermediate variables
// AU = A - U
// BV = B - V
// CW = C - W
//
namespace {
void setup_ellipsoid_initial_guess
(patch_system& ps,
fp global_center_x, fp global_center_y, fp global_center_z,
fp radius_x, fp radius_y, fp radius_z)
{
CCTK_VInfo(CCTK_THORNSTRING,
" h = ellipsoid: global_center=(%g,%g,%g)",
global_center_x, global_center_y, global_center_z);
CCTK_VInfo(CCTK_THORNSTRING,
" radius=(%g,%g,%g)",
radius_x, radius_y, radius_z);
for (int pn = 0 ; pn < ps.N_patches() ; ++pn)
{
patch& p = ps.ith_patch(pn);
for (int irho = p.min_irho() ; irho <= p.max_irho() ; ++irho)
{
for (int isigma = p.min_isigma() ;
isigma <= p.max_isigma() ;
++isigma)
{
const fp rho = p.rho_of_irho(irho);
const fp sigma = p.sigma_of_isigma(isigma);
fp xcos, ycos, zcos;
p.xyzcos_of_rho_sigma(rho,sigma, xcos,ycos,zcos);
// set up variables used by Maple-generated code
const fp AU = global_center_x - ps.origin_x();
const fp BV = global_center_y - ps.origin_y();
const fp CW = global_center_z - ps.origin_z();
const fp a = radius_x;
const fp b = radius_y;
const fp c = radius_z;
// compute the solutions r_plus and r_minus
fp r_plus, r_minus;
#include "ellipsoid.c"
// exactly one of the solutions (call it r) should be positive
fp r;
if ((r_plus > 0.0) && (r_minus < 0.0))
then r = r_plus;
else if ((r_plus < 0.0) && (r_minus > 0.0))
then r = r_minus;
else CCTK_VWarn(-1, __LINE__, __FILE__, CCTK_THORNSTRING,
"\n"
" expected exactly one r>0 solution, got 0 or 2!\n"
" %s patch (irho,isigma)=(%d,%d) ==> (rho,sigma)=(%g,%g)\n"
" direction cosines (xcos,ycos,zcos)=(%g,%g,%g)\n"
" ==> r_plus=%g r_minus=%g\n"
,
p.name(), irho, isigma,
double(rho), double(sigma),
double(xcos), double(ycos), double(zcos),
double(r_plus), double(r_minus));
/*NOTREACHED*/
// r = horizon radius at this grid point
p.ghosted_gridfn(ghosted_gfns::gfn__h, irho,isigma) = r;
}
}
}
}
}
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