/*  File produced by Kranc */

#define KRANC_C

#include <assert.h>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "GenericFD.h"
#include "Differencing.h"
#include "loopcontrol.h"

/* Define macros used in calculations */
#define INITVALUE  (42)
#define INV(x) ((1.0) / (x))
#define SQR(x) ((x) * (x))
#define CUB(x) ((x) * (x) * (x))
#define QAD(x) ((x) * (x) * (x) * (x))

void ML_BSSN_MP_O8_convertToADMBase_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[])
{
  DECLARE_CCTK_ARGUMENTS;
  DECLARE_CCTK_PARAMETERS;
  
  
  /* Declare finite differencing variables */
  
  if (verbose > 1)
  {
    CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_O8_convertToADMBase_Body");
  }
  
  if (cctk_iteration % ML_BSSN_MP_O8_convertToADMBase_calc_every != ML_BSSN_MP_O8_convertToADMBase_calc_offset)
  {
    return;
  }
  
  /* Include user-supplied include files */
  
  /* Initialise finite differencing variables */
  CCTK_REAL const dx = CCTK_DELTA_SPACE(0);
  CCTK_REAL const dy = CCTK_DELTA_SPACE(1);
  CCTK_REAL const dz = CCTK_DELTA_SPACE(2);
  int const di = 1;
  int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0);
  int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0);
  CCTK_REAL const dxi = 1.0 / dx;
  CCTK_REAL const dyi = 1.0 / dy;
  CCTK_REAL const dzi = 1.0 / dz;
  CCTK_REAL const khalf = 0.5;
  CCTK_REAL const kthird = 1/3.0;
  CCTK_REAL const ktwothird = 2.0/3.0;
  CCTK_REAL const kfourthird = 4.0/3.0;
  CCTK_REAL const keightthird = 8.0/3.0;
  CCTK_REAL const hdxi = 0.5 * dxi;
  CCTK_REAL const hdyi = 0.5 * dyi;
  CCTK_REAL const hdzi = 0.5 * dzi;
  
  /* Initialize predefined quantities */
  CCTK_REAL const p1o1024dx = INV(dx)/1024.;
  CCTK_REAL const p1o1024dy = INV(dy)/1024.;
  CCTK_REAL const p1o1024dz = INV(dz)/1024.;
  CCTK_REAL const p1o1680dx = INV(dx)/1680.;
  CCTK_REAL const p1o1680dy = INV(dy)/1680.;
  CCTK_REAL const p1o1680dz = INV(dz)/1680.;
  CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.;
  CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.;
  CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.;
  CCTK_REAL const p1o560dx = INV(dx)/560.;
  CCTK_REAL const p1o560dy = INV(dy)/560.;
  CCTK_REAL const p1o560dz = INV(dz)/560.;
  CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.;
  CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.;
  CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.;
  CCTK_REAL const p1o840dx = INV(dx)/840.;
  CCTK_REAL const p1o840dy = INV(dy)/840.;
  CCTK_REAL const p1o840dz = INV(dz)/840.;
  CCTK_REAL const p1odx = INV(dx);
  CCTK_REAL const p1ody = INV(dy);
  CCTK_REAL const p1odz = INV(dz);
  CCTK_REAL const pm1o840dx = -INV(dx)/840.;
  CCTK_REAL const pm1o840dy = -INV(dy)/840.;
  CCTK_REAL const pm1o840dz = -INV(dz)/840.;
  
  /* Loop over the grid points */
  #pragma omp parallel
  LC_LOOP3 (ML_BSSN_MP_O8_convertToADMBase,
            i,j,k, min[0],min[1],min[2], max[0],max[1],max[2],
            cctk_lsh[0],cctk_lsh[1],cctk_lsh[2])
  {
    // int index = INITVALUE;
    int const index = CCTK_GFINDEX3D(cctkGH,i,j,k);
    /* Declare derivatives */
    
    /* Assign local copies of grid functions */
    CCTK_REAL  alphaL = alpha[index];
    CCTK_REAL  At11L = At11[index];
    CCTK_REAL  At12L = At12[index];
    CCTK_REAL  At13L = At13[index];
    CCTK_REAL  At22L = At22[index];
    CCTK_REAL  At23L = At23[index];
    CCTK_REAL  At33L = At33[index];
    CCTK_REAL  beta1L = beta1[index];
    CCTK_REAL  beta2L = beta2[index];
    CCTK_REAL  beta3L = beta3[index];
    CCTK_REAL  gt11L = gt11[index];
    CCTK_REAL  gt12L = gt12[index];
    CCTK_REAL  gt13L = gt13[index];
    CCTK_REAL  gt22L = gt22[index];
    CCTK_REAL  gt23L = gt23[index];
    CCTK_REAL  gt33L = gt33[index];
    CCTK_REAL  gxxL = gxx[index];
    CCTK_REAL  gxyL = gxy[index];
    CCTK_REAL  gxzL = gxz[index];
    CCTK_REAL  gyyL = gyy[index];
    CCTK_REAL  gyzL = gyz[index];
    CCTK_REAL  gzzL = gzz[index];
    CCTK_REAL  phiL = phi[index];
    CCTK_REAL  trKL = trK[index];
    
    /* Include user supplied include files */
    
    /* Precompute derivatives */
    
    /* Calculate temporaries and grid functions */
    CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL));
    
    gxxL = e4phi*gt11L;
    
    gxyL = e4phi*gt12L;
    
    gxzL = e4phi*gt13L;
    
    gyyL = e4phi*gt22L;
    
    gyzL = e4phi*gt23L;
    
    gzzL = e4phi*gt33L;
    
    CCTK_REAL kxxL = At11L*e4phi + gxxL*kthird*trKL;
    
    CCTK_REAL kxyL = At12L*e4phi + gxyL*kthird*trKL;
    
    CCTK_REAL kxzL = At13L*e4phi + gxzL*kthird*trKL;
    
    CCTK_REAL kyyL = At22L*e4phi + gyyL*kthird*trKL;
    
    CCTK_REAL kyzL = At23L*e4phi + gyzL*kthird*trKL;
    
    CCTK_REAL kzzL = At33L*e4phi + gzzL*kthird*trKL;
    
    CCTK_REAL alpL = alphaL;
    
    CCTK_REAL betaxL = beta1L;
    
    CCTK_REAL betayL = beta2L;
    
    CCTK_REAL betazL = beta3L;
    
    
    /* Copy local copies back to grid functions */
    alp[index] = alpL;
    betax[index] = betaxL;
    betay[index] = betayL;
    betaz[index] = betazL;
    gxx[index] = gxxL;
    gxy[index] = gxyL;
    gxz[index] = gxzL;
    gyy[index] = gyyL;
    gyz[index] = gyzL;
    gzz[index] = gzzL;
    kxx[index] = kxxL;
    kxy[index] = kxyL;
    kxz[index] = kxzL;
    kyy[index] = kyyL;
    kyz[index] = kyzL;
    kzz[index] = kzzL;
  }
  LC_ENDLOOP3 (ML_BSSN_MP_O8_convertToADMBase);
}

void ML_BSSN_MP_O8_convertToADMBase(CCTK_ARGUMENTS)
{
  DECLARE_CCTK_ARGUMENTS;
  DECLARE_CCTK_PARAMETERS;
  
  GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_MP_O8_convertToADMBase_Body);
}