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/*@@
   @file      ConfPhys.c
   @date      September 3rd 1999
   @author    Gabrielle Allen
   @desc
              Conversions between physical and conformal metrics.
              Be very careful using these functions, note that
              conformal_state is not changed, this is up to the
              calling routine
   @enddesc
   @version $Header$
 @@*/
                    

#include "cctk.h"

static const char *rcsid = "$Header$";

CCTK_FILEVERSION(CactusEinstein_StaticConformal_ConfPhys_c)

/********************************************************************
 *********************     Local Data Types   ***********************
 ********************************************************************/

/********************************************************************
 ********************* Local Routine Prototypes *********************
 ********************************************************************/

/********************************************************************
 ***************** Scheduled Routine Prototypes *********************
 ********************************************************************/

/********************************************************************
 ********************* Other Routine Prototypes *********************
 ********************************************************************/

void CCTK_FCALL CCTK_FNAME (StaticConf_PhysToConfInPlace) (int *nx,
							   int *ny,
							   int *nz,
							   CCTK_REAL *psi,
							   CCTK_REAL *gxx,
							   CCTK_REAL *gxy,
							   CCTK_REAL *gxz,
							   CCTK_REAL *gyy,
							   CCTK_REAL *gyz,
							   CCTK_REAL *gzz);
void CCTK_FCALL CCTK_FNAME (StaticConf_ConfToPhysInPlace) (int *nx,
							   int *ny,
							   int *nz,
							   CCTK_REAL *psi,
							   CCTK_REAL *gxx,
							   CCTK_REAL *gxy,
							   CCTK_REAL *gxz,
							   CCTK_REAL *gyy,
							   CCTK_REAL *gyz,
							   CCTK_REAL *gzz);

/********************************************************************
 *********************     Local Data   *****************************
 ********************************************************************/

/********************************************************************
 *********************     External Routines   **********************
 ********************************************************************/


 /*@@
   @routine    StaticConf_ConfToPhysInPlace
   @date       September 3rd 1999
   @author     Gabrielle Allen
   @desc 
   Convert the conformal metric to the physical in place.
   @enddesc 
   @calls     
   @calledby   
   @history 
 
   @endhistory 
   @var     nx
   @vdesc   number of points in the x direction
   @vtype   int
   @vio     in
   @var     ny
   @vdesc   number of points in the y direction
   @vtype   int
   @vio     in
   @var     nz
   @vdesc   number of points in the z direction
   @vtype   int
   @vio     in
   @var     psi
   @vdesc   conformal factor
   @vtype   const CCTK_REAL *
   @vio     in
   @var     gxx
   @vdesc   xx componenent of metric
   @vtype   CCTK_REAL *
   @vio     inout
   @var     gxy
   @vdesc   xy componenent of metric
   @vtype   CCTK_REAL *
   @vio     inout
   @var     gxz
   @vdesc   xz componenent of metric
   @vtype   CCTK_REAL *
   @vio     inout
   @var     gyy
   @vdesc   yy componenent of metric
   @vtype   CCTK_REAL *
   @vio     inout
   @var     gyz
   @vdesc   yz componenent of metric
   @vtype   CCTK_REAL *
   @vio     inout
   @var     gzz
   @vdesc   zz componenent of metric
   @vtype   CCTK_REAL *
   @vio     inout

 @@*/
void StaticConf_ConfToPhysInPlace (int nx,
				   int ny,
				   int nz,
				   const CCTK_REAL *psi,
				   CCTK_REAL *gxx,
				   CCTK_REAL *gxy,
				   CCTK_REAL *gxz,
				   CCTK_REAL *gyy,
				   CCTK_REAL *gyz,
				   CCTK_REAL *gzz)
{
  CCTK_REAL psi4;
  int index;


  CCTK_WARN (4, "Converting metric: conformal -> physical");

  index = nx * ny * nz;
  while (--index >= 0)
  {
    /* this should be faster than psi4 = pow (psi[index], 4) */
    psi4 = psi[index] * psi[index];
    psi4 = psi4 * psi4;

    gxx[index] *= psi4;
    gxy[index] *= psi4;
    gxz[index] *= psi4;
    gyy[index] *= psi4;
    gyz[index] *= psi4;
    gzz[index] *= psi4;
  }
}


void CCTK_FCALL CCTK_FNAME (StaticConf_ConfToPhysInPlace) (int *nx,
							   int *ny,
							   int *nz,
							   CCTK_REAL *psi,
							   CCTK_REAL *gxx,
							   CCTK_REAL *gxy,
							   CCTK_REAL *gxz,
							   CCTK_REAL *gyy,
							   CCTK_REAL *gyz,
							   CCTK_REAL *gzz)
{
  StaticConf_ConfToPhysInPlace (*nx, *ny, *nz, psi, gxx, gxy, gxz, gyy, gyz, gzz);
}


 /*@@
   @routine    StaticConf_PhysToConfInPlace
   @date       September 3rd 1999
   @author     Gabrielle Allen
   @desc 
   Convert the physical metric to the conformal in place.
   @enddesc 
   @calls     
   @calledby   
   @history 
 
   @endhistory 
   @var     nx
   @vdesc   number of points in the x direction
   @vtype   int
   @vio     in
   @var     ny
   @vdesc   number of points in the y direction
   @vtype   int
   @vio     in
   @var     nz
   @vdesc   number of points in the z direction
   @vtype   int
   @vio     in
   @var     psi
   @vdesc   conformal factor
   @vtype   const CCTK_REAL *
   @vio     in
   @var     gxx
   @vdesc   xx componenent of metric
   @vtype   CCTK_REAL *
   @vio     inout
   @var     gxy
   @vdesc   xy componenent of metric
   @vtype   CCTK_REAL *
   @vio     inout
   @var     gxz
   @vdesc   xz componenent of metric
   @vtype   CCTK_REAL *
   @vio     inout
   @var     gyy
   @vdesc   yy componenent of metric
   @vtype   CCTK_REAL *
   @vio     inout
   @var     gyz
   @vdesc   yz componenent of metric
   @vtype   CCTK_REAL *
   @vio     inout
   @var     gzz
   @vdesc   zz componenent of metric
   @vtype   CCTK_REAL *
   @vio     inout

 @@*/
void StaticConf_PhysToConfInPlace (int nx,
				   int ny,
				   int nz,
				   const CCTK_REAL *psi, 
				   CCTK_REAL *gxx,
				   CCTK_REAL *gxy,
				   CCTK_REAL *gxz,
				   CCTK_REAL *gyy,
				   CCTK_REAL *gyz,
				   CCTK_REAL *gzz)
{
  int index;
  CCTK_REAL psi4;


  CCTK_WARN (4, "Converting metric: physical -> conformal");

  index = nx * ny * nz;
  while (--index >= 0)
  {
    /* this should be faster than psi4 = pow (psi[index], 4) */
    psi4 = psi[index] * psi[index];
    psi4 = psi4 * psi4;

    /* get the reciprocal for turning divisions into multiplications */
    psi4 = 1.0 / psi4;

    gxx[index] *= psi4;
    gxy[index] *= psi4;
    gxz[index] *= psi4;
    gyy[index] *= psi4;
    gyz[index] *= psi4;
    gzz[index] *= psi4;
  }
}


void CCTK_FCALL CCTK_FNAME (StaticConf_PhysToConfInPlace) (int *nx,
							   int *ny,
							   int *nz,
							   CCTK_REAL *psi,
							   CCTK_REAL *gxx,
							   CCTK_REAL *gxy,
							   CCTK_REAL *gxz,
							   CCTK_REAL *gyy,
							   CCTK_REAL *gyz,
							   CCTK_REAL *gzz)
{
  StaticConf_PhysToConfInPlace (*nx, *ny, *nz, psi, gxx, gxy, gxz, gyy, gyz, gzz);
}

/********************************************************************
 *********************     Local Routines   *************************
 ********************************************************************/