#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder21(u) ((-1.*KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1o2dx)
#else
#  define PDstandardfdOrder21(u) (PDstandardfdOrder21_impl(u,p1o2dx,cdj,cdk))
static CCTK_REAL PDstandardfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-1.*KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1o2dx;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder22(u) ((-1.*KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1o2dy)
#else
#  define PDstandardfdOrder22(u) (PDstandardfdOrder22_impl(u,p1o2dy,cdj,cdk))
static CCTK_REAL PDstandardfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-1.*KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1o2dy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder23(u) ((-1.*KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1o2dz)
#else
#  define PDstandardfdOrder23(u) (PDstandardfdOrder23_impl(u,p1o2dz,cdj,cdk))
static CCTK_REAL PDstandardfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-1.*KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1o2dz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder41(u) ((-8.*KRANC_GFOFFSET3D(u,-1,0,0) + 8.*KRANC_GFOFFSET3D(u,1,0,0) + KRANC_GFOFFSET3D(u,-2,0,0) - 1.*KRANC_GFOFFSET3D(u,2,0,0))*p1o12dx)
#else
#  define PDstandardfdOrder41(u) (PDstandardfdOrder41_impl(u,p1o12dx,cdj,cdk))
static CCTK_REAL PDstandardfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-8.*KRANC_GFOFFSET3D(u,-1,0,0) + 8.*KRANC_GFOFFSET3D(u,1,0,0) + KRANC_GFOFFSET3D(u,-2,0,0) - 1.*KRANC_GFOFFSET3D(u,2,0,0))*p1o12dx;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder42(u) ((-8.*KRANC_GFOFFSET3D(u,0,-1,0) + 8.*KRANC_GFOFFSET3D(u,0,1,0) + KRANC_GFOFFSET3D(u,0,-2,0) - 1.*KRANC_GFOFFSET3D(u,0,2,0))*p1o12dy)
#else
#  define PDstandardfdOrder42(u) (PDstandardfdOrder42_impl(u,p1o12dy,cdj,cdk))
static CCTK_REAL PDstandardfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-8.*KRANC_GFOFFSET3D(u,0,-1,0) + 8.*KRANC_GFOFFSET3D(u,0,1,0) + KRANC_GFOFFSET3D(u,0,-2,0) - 1.*KRANC_GFOFFSET3D(u,0,2,0))*p1o12dy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder43(u) ((-8.*KRANC_GFOFFSET3D(u,0,0,-1) + 8.*KRANC_GFOFFSET3D(u,0,0,1) + KRANC_GFOFFSET3D(u,0,0,-2) - 1.*KRANC_GFOFFSET3D(u,0,0,2))*p1o12dz)
#else
#  define PDstandardfdOrder43(u) (PDstandardfdOrder43_impl(u,p1o12dz,cdj,cdk))
static CCTK_REAL PDstandardfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-8.*KRANC_GFOFFSET3D(u,0,0,-1) + 8.*KRANC_GFOFFSET3D(u,0,0,1) + KRANC_GFOFFSET3D(u,0,0,-2) - 1.*KRANC_GFOFFSET3D(u,0,0,2))*p1o12dz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder211(u) ((-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1odx2)
#else
#  define PDstandardfdOrder211(u) (PDstandardfdOrder211_impl(u,p1odx2,cdj,cdk))
static CCTK_REAL PDstandardfdOrder211_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder211_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1odx2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder222(u) ((-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1ody2)
#else
#  define PDstandardfdOrder222(u) (PDstandardfdOrder222_impl(u,p1ody2,cdj,cdk))
static CCTK_REAL PDstandardfdOrder222_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1ody2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder222_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1ody2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1ody2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder233(u) ((-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1odz2)
#else
#  define PDstandardfdOrder233(u) (PDstandardfdOrder233_impl(u,p1odz2,cdj,cdk))
static CCTK_REAL PDstandardfdOrder233_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder233_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1odz2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder411(u) ((30.*KRANC_GFOFFSET3D(u,0,0,0) - 16.*(KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0)) + KRANC_GFOFFSET3D(u,-2,0,0) + KRANC_GFOFFSET3D(u,2,0,0))*pm1o12dx2)
#else
#  define PDstandardfdOrder411(u) (PDstandardfdOrder411_impl(u,pm1o12dx2,cdj,cdk))
static CCTK_REAL PDstandardfdOrder411_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder411_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (30.*KRANC_GFOFFSET3D(u,0,0,0) - 16.*(KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0)) + KRANC_GFOFFSET3D(u,-2,0,0) + KRANC_GFOFFSET3D(u,2,0,0))*pm1o12dx2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder422(u) ((30.*KRANC_GFOFFSET3D(u,0,0,0) - 16.*(KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0)) + KRANC_GFOFFSET3D(u,0,-2,0) + KRANC_GFOFFSET3D(u,0,2,0))*pm1o12dy2)
#else
#  define PDstandardfdOrder422(u) (PDstandardfdOrder422_impl(u,pm1o12dy2,cdj,cdk))
static CCTK_REAL PDstandardfdOrder422_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dy2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder422_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dy2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (30.*KRANC_GFOFFSET3D(u,0,0,0) - 16.*(KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0)) + KRANC_GFOFFSET3D(u,0,-2,0) + KRANC_GFOFFSET3D(u,0,2,0))*pm1o12dy2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder433(u) ((30.*KRANC_GFOFFSET3D(u,0,0,0) - 16.*(KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1)) + KRANC_GFOFFSET3D(u,0,0,-2) + KRANC_GFOFFSET3D(u,0,0,2))*pm1o12dz2)
#else
#  define PDstandardfdOrder433(u) (PDstandardfdOrder433_impl(u,pm1o12dz2,cdj,cdk))
static CCTK_REAL PDstandardfdOrder433_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder433_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (30.*KRANC_GFOFFSET3D(u,0,0,0) - 16.*(KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1)) + KRANC_GFOFFSET3D(u,0,0,-2) + KRANC_GFOFFSET3D(u,0,0,2))*pm1o12dz2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder212(u) ((KRANC_GFOFFSET3D(u,-1,-1,0) - 1.*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy)
#else
#  define PDstandardfdOrder212(u) (PDstandardfdOrder212_impl(u,p1o4dxdy,cdj,cdk))
static CCTK_REAL PDstandardfdOrder212_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder212_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (KRANC_GFOFFSET3D(u,-1,-1,0) - 1.*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder213(u) ((KRANC_GFOFFSET3D(u,-1,0,-1) - 1.*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz)
#else
#  define PDstandardfdOrder213(u) (PDstandardfdOrder213_impl(u,p1o4dxdz,cdj,cdk))
static CCTK_REAL PDstandardfdOrder213_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder213_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (KRANC_GFOFFSET3D(u,-1,0,-1) - 1.*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder221(u) ((KRANC_GFOFFSET3D(u,-1,-1,0) - 1.*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy)
#else
#  define PDstandardfdOrder221(u) (PDstandardfdOrder221_impl(u,p1o4dxdy,cdj,cdk))
static CCTK_REAL PDstandardfdOrder221_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder221_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (KRANC_GFOFFSET3D(u,-1,-1,0) - 1.*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder223(u) ((KRANC_GFOFFSET3D(u,0,-1,-1) - 1.*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz)
#else
#  define PDstandardfdOrder223(u) (PDstandardfdOrder223_impl(u,p1o4dydz,cdj,cdk))
static CCTK_REAL PDstandardfdOrder223_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder223_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (KRANC_GFOFFSET3D(u,0,-1,-1) - 1.*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder231(u) ((KRANC_GFOFFSET3D(u,-1,0,-1) - 1.*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz)
#else
#  define PDstandardfdOrder231(u) (PDstandardfdOrder231_impl(u,p1o4dxdz,cdj,cdk))
static CCTK_REAL PDstandardfdOrder231_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder231_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (KRANC_GFOFFSET3D(u,-1,0,-1) - 1.*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder232(u) ((KRANC_GFOFFSET3D(u,0,-1,-1) - 1.*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz)
#else
#  define PDstandardfdOrder232(u) (PDstandardfdOrder232_impl(u,p1o4dydz,cdj,cdk))
static CCTK_REAL PDstandardfdOrder232_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder232_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (KRANC_GFOFFSET3D(u,0,-1,-1) - 1.*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder412(u) ((-64.*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + 64.*(KRANC_GFOFFSET3D(u,-1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0)) + 8.*(KRANC_GFOFFSET3D(u,-1,2,0) + KRANC_GFOFFSET3D(u,1,-2,0) + KRANC_GFOFFSET3D(u,-2,1,0) + KRANC_GFOFFSET3D(u,2,-1,0)) - 8.*(KRANC_GFOFFSET3D(u,-1,-2,0) + KRANC_GFOFFSET3D(u,1,2,0) + KRANC_GFOFFSET3D(u,-2,-1,0) + KRANC_GFOFFSET3D(u,2,1,0)) + KRANC_GFOFFSET3D(u,-2,-2,0) - 1.*(KRANC_GFOFFSET3D(u,-2,2,0) + KRANC_GFOFFSET3D(u,2,-2,0)) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy)
#else
#  define PDstandardfdOrder412(u) (PDstandardfdOrder412_impl(u,p1o144dxdy,cdj,cdk))
static CCTK_REAL PDstandardfdOrder412_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder412_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-64.*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + 64.*(KRANC_GFOFFSET3D(u,-1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0)) + 8.*(KRANC_GFOFFSET3D(u,-1,2,0) + KRANC_GFOFFSET3D(u,1,-2,0) + KRANC_GFOFFSET3D(u,-2,1,0) + KRANC_GFOFFSET3D(u,2,-1,0)) - 8.*(KRANC_GFOFFSET3D(u,-1,-2,0) + KRANC_GFOFFSET3D(u,1,2,0) + KRANC_GFOFFSET3D(u,-2,-1,0) + KRANC_GFOFFSET3D(u,2,1,0)) + KRANC_GFOFFSET3D(u,-2,-2,0) - 1.*(KRANC_GFOFFSET3D(u,-2,2,0) + KRANC_GFOFFSET3D(u,2,-2,0)) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder413(u) ((-64.*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + 64.*(KRANC_GFOFFSET3D(u,-1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1)) + 8.*(KRANC_GFOFFSET3D(u,-1,0,2) + KRANC_GFOFFSET3D(u,1,0,-2) + KRANC_GFOFFSET3D(u,-2,0,1) + KRANC_GFOFFSET3D(u,2,0,-1)) - 8.*(KRANC_GFOFFSET3D(u,-1,0,-2) + KRANC_GFOFFSET3D(u,1,0,2) + KRANC_GFOFFSET3D(u,-2,0,-1) + KRANC_GFOFFSET3D(u,2,0,1)) + KRANC_GFOFFSET3D(u,-2,0,-2) - 1.*(KRANC_GFOFFSET3D(u,-2,0,2) + KRANC_GFOFFSET3D(u,2,0,-2)) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz)
#else
#  define PDstandardfdOrder413(u) (PDstandardfdOrder413_impl(u,p1o144dxdz,cdj,cdk))
static CCTK_REAL PDstandardfdOrder413_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder413_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-64.*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + 64.*(KRANC_GFOFFSET3D(u,-1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1)) + 8.*(KRANC_GFOFFSET3D(u,-1,0,2) + KRANC_GFOFFSET3D(u,1,0,-2) + KRANC_GFOFFSET3D(u,-2,0,1) + KRANC_GFOFFSET3D(u,2,0,-1)) - 8.*(KRANC_GFOFFSET3D(u,-1,0,-2) + KRANC_GFOFFSET3D(u,1,0,2) + KRANC_GFOFFSET3D(u,-2,0,-1) + KRANC_GFOFFSET3D(u,2,0,1)) + KRANC_GFOFFSET3D(u,-2,0,-2) - 1.*(KRANC_GFOFFSET3D(u,-2,0,2) + KRANC_GFOFFSET3D(u,2,0,-2)) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder421(u) ((-64.*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + 64.*(KRANC_GFOFFSET3D(u,-1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0)) + 8.*(KRANC_GFOFFSET3D(u,-1,2,0) + KRANC_GFOFFSET3D(u,1,-2,0) + KRANC_GFOFFSET3D(u,-2,1,0) + KRANC_GFOFFSET3D(u,2,-1,0)) - 8.*(KRANC_GFOFFSET3D(u,-1,-2,0) + KRANC_GFOFFSET3D(u,1,2,0) + KRANC_GFOFFSET3D(u,-2,-1,0) + KRANC_GFOFFSET3D(u,2,1,0)) + KRANC_GFOFFSET3D(u,-2,-2,0) - 1.*(KRANC_GFOFFSET3D(u,-2,2,0) + KRANC_GFOFFSET3D(u,2,-2,0)) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy)
#else
#  define PDstandardfdOrder421(u) (PDstandardfdOrder421_impl(u,p1o144dxdy,cdj,cdk))
static CCTK_REAL PDstandardfdOrder421_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder421_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-64.*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + 64.*(KRANC_GFOFFSET3D(u,-1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0)) + 8.*(KRANC_GFOFFSET3D(u,-1,2,0) + KRANC_GFOFFSET3D(u,1,-2,0) + KRANC_GFOFFSET3D(u,-2,1,0) + KRANC_GFOFFSET3D(u,2,-1,0)) - 8.*(KRANC_GFOFFSET3D(u,-1,-2,0) + KRANC_GFOFFSET3D(u,1,2,0) + KRANC_GFOFFSET3D(u,-2,-1,0) + KRANC_GFOFFSET3D(u,2,1,0)) + KRANC_GFOFFSET3D(u,-2,-2,0) - 1.*(KRANC_GFOFFSET3D(u,-2,2,0) + KRANC_GFOFFSET3D(u,2,-2,0)) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder423(u) ((-64.*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + 64.*(KRANC_GFOFFSET3D(u,0,-1,-1) + KRANC_GFOFFSET3D(u,0,1,1)) + 8.*(KRANC_GFOFFSET3D(u,0,-1,2) + KRANC_GFOFFSET3D(u,0,1,-2) + KRANC_GFOFFSET3D(u,0,-2,1) + KRANC_GFOFFSET3D(u,0,2,-1)) - 8.*(KRANC_GFOFFSET3D(u,0,-1,-2) + KRANC_GFOFFSET3D(u,0,1,2) + KRANC_GFOFFSET3D(u,0,-2,-1) + KRANC_GFOFFSET3D(u,0,2,1)) + KRANC_GFOFFSET3D(u,0,-2,-2) - 1.*(KRANC_GFOFFSET3D(u,0,-2,2) + KRANC_GFOFFSET3D(u,0,2,-2)) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz)
#else
#  define PDstandardfdOrder423(u) (PDstandardfdOrder423_impl(u,p1o144dydz,cdj,cdk))
static CCTK_REAL PDstandardfdOrder423_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder423_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-64.*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + 64.*(KRANC_GFOFFSET3D(u,0,-1,-1) + KRANC_GFOFFSET3D(u,0,1,1)) + 8.*(KRANC_GFOFFSET3D(u,0,-1,2) + KRANC_GFOFFSET3D(u,0,1,-2) + KRANC_GFOFFSET3D(u,0,-2,1) + KRANC_GFOFFSET3D(u,0,2,-1)) - 8.*(KRANC_GFOFFSET3D(u,0,-1,-2) + KRANC_GFOFFSET3D(u,0,1,2) + KRANC_GFOFFSET3D(u,0,-2,-1) + KRANC_GFOFFSET3D(u,0,2,1)) + KRANC_GFOFFSET3D(u,0,-2,-2) - 1.*(KRANC_GFOFFSET3D(u,0,-2,2) + KRANC_GFOFFSET3D(u,0,2,-2)) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder431(u) ((-64.*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + 64.*(KRANC_GFOFFSET3D(u,-1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1)) + 8.*(KRANC_GFOFFSET3D(u,-1,0,2) + KRANC_GFOFFSET3D(u,1,0,-2) + KRANC_GFOFFSET3D(u,-2,0,1) + KRANC_GFOFFSET3D(u,2,0,-1)) - 8.*(KRANC_GFOFFSET3D(u,-1,0,-2) + KRANC_GFOFFSET3D(u,1,0,2) + KRANC_GFOFFSET3D(u,-2,0,-1) + KRANC_GFOFFSET3D(u,2,0,1)) + KRANC_GFOFFSET3D(u,-2,0,-2) - 1.*(KRANC_GFOFFSET3D(u,-2,0,2) + KRANC_GFOFFSET3D(u,2,0,-2)) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz)
#else
#  define PDstandardfdOrder431(u) (PDstandardfdOrder431_impl(u,p1o144dxdz,cdj,cdk))
static CCTK_REAL PDstandardfdOrder431_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder431_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-64.*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + 64.*(KRANC_GFOFFSET3D(u,-1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1)) + 8.*(KRANC_GFOFFSET3D(u,-1,0,2) + KRANC_GFOFFSET3D(u,1,0,-2) + KRANC_GFOFFSET3D(u,-2,0,1) + KRANC_GFOFFSET3D(u,2,0,-1)) - 8.*(KRANC_GFOFFSET3D(u,-1,0,-2) + KRANC_GFOFFSET3D(u,1,0,2) + KRANC_GFOFFSET3D(u,-2,0,-1) + KRANC_GFOFFSET3D(u,2,0,1)) + KRANC_GFOFFSET3D(u,-2,0,-2) - 1.*(KRANC_GFOFFSET3D(u,-2,0,2) + KRANC_GFOFFSET3D(u,2,0,-2)) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardfdOrder432(u) ((-64.*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + 64.*(KRANC_GFOFFSET3D(u,0,-1,-1) + KRANC_GFOFFSET3D(u,0,1,1)) + 8.*(KRANC_GFOFFSET3D(u,0,-1,2) + KRANC_GFOFFSET3D(u,0,1,-2) + KRANC_GFOFFSET3D(u,0,-2,1) + KRANC_GFOFFSET3D(u,0,2,-1)) - 8.*(KRANC_GFOFFSET3D(u,0,-1,-2) + KRANC_GFOFFSET3D(u,0,1,2) + KRANC_GFOFFSET3D(u,0,-2,-1) + KRANC_GFOFFSET3D(u,0,2,1)) + KRANC_GFOFFSET3D(u,0,-2,-2) - 1.*(KRANC_GFOFFSET3D(u,0,-2,2) + KRANC_GFOFFSET3D(u,0,2,-2)) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz)
#else
#  define PDstandardfdOrder432(u) (PDstandardfdOrder432_impl(u,p1o144dydz,cdj,cdk))
static CCTK_REAL PDstandardfdOrder432_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardfdOrder432_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-64.*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + 64.*(KRANC_GFOFFSET3D(u,0,-1,-1) + KRANC_GFOFFSET3D(u,0,1,1)) + 8.*(KRANC_GFOFFSET3D(u,0,-1,2) + KRANC_GFOFFSET3D(u,0,1,-2) + KRANC_GFOFFSET3D(u,0,-2,1) + KRANC_GFOFFSET3D(u,0,2,-1)) - 8.*(KRANC_GFOFFSET3D(u,0,-1,-2) + KRANC_GFOFFSET3D(u,0,1,2) + KRANC_GFOFFSET3D(u,0,-2,-1) + KRANC_GFOFFSET3D(u,0,2,1)) + KRANC_GFOFFSET3D(u,0,-2,-2) - 1.*(KRANC_GFOFFSET3D(u,0,-2,2) + KRANC_GFOFFSET3D(u,0,2,-2)) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDonesided2nd1(u) ((3.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,2*dir1,0,0) - 4.*KRANC_GFOFFSET3D(u,dir1,0,0))*pm1o2dx*dir1)
#else
#  define PDonesided2nd1(u) (PDonesided2nd1_impl(u,pm1o2dx,cdj,cdk,dir1,dir2,dir3))
static CCTK_REAL PDonesided2nd1_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk, ptrdiff_t const dir1, ptrdiff_t const dir2, ptrdiff_t const dir3) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDonesided2nd1_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk, ptrdiff_t const dir1, ptrdiff_t const dir2, ptrdiff_t const dir3)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (3.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,2*dir1,0,0) - 4.*KRANC_GFOFFSET3D(u,dir1,0,0))*pm1o2dx*dir1;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDonesided2nd2(u) ((3.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,2*dir2,0) - 4.*KRANC_GFOFFSET3D(u,0,dir2,0))*pm1o2dy*dir2)
#else
#  define PDonesided2nd2(u) (PDonesided2nd2_impl(u,pm1o2dy,cdj,cdk,dir1,dir2,dir3))
static CCTK_REAL PDonesided2nd2_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk, ptrdiff_t const dir1, ptrdiff_t const dir2, ptrdiff_t const dir3) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDonesided2nd2_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk, ptrdiff_t const dir1, ptrdiff_t const dir2, ptrdiff_t const dir3)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (3.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,2*dir2,0) - 4.*KRANC_GFOFFSET3D(u,0,dir2,0))*pm1o2dy*dir2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDonesided2nd3(u) ((3.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,0,2*dir3) - 4.*KRANC_GFOFFSET3D(u,0,0,dir3))*pm1o2dz*dir3)
#else
#  define PDonesided2nd3(u) (PDonesided2nd3_impl(u,pm1o2dz,cdj,cdk,dir1,dir2,dir3))
static CCTK_REAL PDonesided2nd3_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk, ptrdiff_t const dir1, ptrdiff_t const dir2, ptrdiff_t const dir3) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDonesided2nd3_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk, ptrdiff_t const dir1, ptrdiff_t const dir2, ptrdiff_t const dir3)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (3.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,0,2*dir3) - 4.*KRANC_GFOFFSET3D(u,0,0,dir3))*pm1o2dz*dir3;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define DissfdOrder2(u) (-1.*p1odxdydz*diss*((6.*KRANC_GFOFFSET3D(u,0,0,0) - 4.*(KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1)) + KRANC_GFOFFSET3D(u,0,0,-2) + KRANC_GFOFFSET3D(u,0,0,2))*INV(dxi*dyi) + ((6.*KRANC_GFOFFSET3D(u,0,0,0) - 4.*(KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0)) + KRANC_GFOFFSET3D(u,0,-2,0) + KRANC_GFOFFSET3D(u,0,2,0))*INV(dxi) + (6.*KRANC_GFOFFSET3D(u,0,0,0) - 4.*(KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0)) + KRANC_GFOFFSET3D(u,-2,0,0) + KRANC_GFOFFSET3D(u,2,0,0))*INV(dyi))*INV(dzi)))
#else
#  define DissfdOrder2(u) (DissfdOrder2_impl(u,p1odxdydz,cdj,cdk))
static CCTK_REAL DissfdOrder2_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odxdydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL DissfdOrder2_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odxdydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return -1.*p1odxdydz*diss*((6.*KRANC_GFOFFSET3D(u,0,0,0) - 4.*(KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1)) + KRANC_GFOFFSET3D(u,0,0,-2) + KRANC_GFOFFSET3D(u,0,0,2))*INV(dxi*dyi) + ((6.*KRANC_GFOFFSET3D(u,0,0,0) - 4.*(KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0)) + KRANC_GFOFFSET3D(u,0,-2,0) + KRANC_GFOFFSET3D(u,0,2,0))*INV(dxi) + (6.*KRANC_GFOFFSET3D(u,0,0,0) - 4.*(KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0)) + KRANC_GFOFFSET3D(u,-2,0,0) + KRANC_GFOFFSET3D(u,2,0,0))*INV(dyi))*INV(dzi));
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define DissfdOrder4(u) (p1odxdydz*diss*((-20.*KRANC_GFOFFSET3D(u,0,0,0) + 15.*(KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1)) - 6.*(KRANC_GFOFFSET3D(u,0,0,-2) + KRANC_GFOFFSET3D(u,0,0,2)) + KRANC_GFOFFSET3D(u,0,0,-3) + KRANC_GFOFFSET3D(u,0,0,3))*INV(dxi*dyi) + ((15.*(KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0)) - 6.*(KRANC_GFOFFSET3D(u,0,-2,0) + KRANC_GFOFFSET3D(u,0,2,0)) + KRANC_GFOFFSET3D(u,0,-3,0) + KRANC_GFOFFSET3D(u,0,3,0))*INV(dxi) + (15.*(KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0)) - 6.*(KRANC_GFOFFSET3D(u,-2,0,0) + KRANC_GFOFFSET3D(u,2,0,0)) + KRANC_GFOFFSET3D(u,-3,0,0) + KRANC_GFOFFSET3D(u,3,0,0))*INV(dyi) - 20.*KRANC_GFOFFSET3D(u,0,0,0)*(INV(dxi) + INV(dyi)))*INV(dzi)))
#else
#  define DissfdOrder4(u) (DissfdOrder4_impl(u,p1odxdydz,cdj,cdk))
static CCTK_REAL DissfdOrder4_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odxdydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL DissfdOrder4_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odxdydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return p1odxdydz*diss*((-20.*KRANC_GFOFFSET3D(u,0,0,0) + 15.*(KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1)) - 6.*(KRANC_GFOFFSET3D(u,0,0,-2) + KRANC_GFOFFSET3D(u,0,0,2)) + KRANC_GFOFFSET3D(u,0,0,-3) + KRANC_GFOFFSET3D(u,0,0,3))*INV(dxi*dyi) + ((15.*(KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0)) - 6.*(KRANC_GFOFFSET3D(u,0,-2,0) + KRANC_GFOFFSET3D(u,0,2,0)) + KRANC_GFOFFSET3D(u,0,-3,0) + KRANC_GFOFFSET3D(u,0,3,0))*INV(dxi) + (15.*(KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0)) - 6.*(KRANC_GFOFFSET3D(u,-2,0,0) + KRANC_GFOFFSET3D(u,2,0,0)) + KRANC_GFOFFSET3D(u,-3,0,0) + KRANC_GFOFFSET3D(u,3,0,0))*INV(dyi) - 20.*KRANC_GFOFFSET3D(u,0,0,0)*(INV(dxi) + INV(dyi)))*INV(dzi));
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDzero1(u) ((-1.*KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1o2dx)
#else
#  define PDzero1(u) (PDzero1_impl(u,p1o2dx,cdj,cdk))
static CCTK_REAL PDzero1_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDzero1_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-1.*KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1o2dx;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDzero2(u) ((-1.*KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1o2dy)
#else
#  define PDzero2(u) (PDzero2_impl(u,p1o2dy,cdj,cdk))
static CCTK_REAL PDzero2_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDzero2_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-1.*KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1o2dy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDzero3(u) ((-1.*KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1o2dz)
#else
#  define PDzero3(u) (PDzero3_impl(u,p1o2dz,cdj,cdk))
static CCTK_REAL PDzero3_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDzero3_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-1.*KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1o2dz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDzero11(u) ((-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,-2,0,0) + KRANC_GFOFFSET3D(u,2,0,0))*p1o4dx2)
#else
#  define PDzero11(u) (PDzero11_impl(u,p1o4dx2,cdj,cdk))
static CCTK_REAL PDzero11_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDzero11_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,-2,0,0) + KRANC_GFOFFSET3D(u,2,0,0))*p1o4dx2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDzero12(u) ((KRANC_GFOFFSET3D(u,-1,-1,0) - 1.*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy)
#else
#  define PDzero12(u) (PDzero12_impl(u,p1o4dxdy,cdj,cdk))
static CCTK_REAL PDzero12_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDzero12_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (KRANC_GFOFFSET3D(u,-1,-1,0) - 1.*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDzero13(u) ((KRANC_GFOFFSET3D(u,-1,0,-1) - 1.*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz)
#else
#  define PDzero13(u) (PDzero13_impl(u,p1o4dxdz,cdj,cdk))
static CCTK_REAL PDzero13_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDzero13_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (KRANC_GFOFFSET3D(u,-1,0,-1) - 1.*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDzero21(u) ((KRANC_GFOFFSET3D(u,-1,-1,0) - 1.*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy)
#else
#  define PDzero21(u) (PDzero21_impl(u,p1o4dxdy,cdj,cdk))
static CCTK_REAL PDzero21_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDzero21_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (KRANC_GFOFFSET3D(u,-1,-1,0) - 1.*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDzero22(u) ((-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,-2,0) + KRANC_GFOFFSET3D(u,0,2,0))*p1o4dy2)
#else
#  define PDzero22(u) (PDzero22_impl(u,p1o4dy2,cdj,cdk))
static CCTK_REAL PDzero22_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dy2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDzero22_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dy2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,-2,0) + KRANC_GFOFFSET3D(u,0,2,0))*p1o4dy2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDzero23(u) ((KRANC_GFOFFSET3D(u,0,-1,-1) - 1.*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz)
#else
#  define PDzero23(u) (PDzero23_impl(u,p1o4dydz,cdj,cdk))
static CCTK_REAL PDzero23_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDzero23_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (KRANC_GFOFFSET3D(u,0,-1,-1) - 1.*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDzero31(u) ((KRANC_GFOFFSET3D(u,-1,0,-1) - 1.*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz)
#else
#  define PDzero31(u) (PDzero31_impl(u,p1o4dxdz,cdj,cdk))
static CCTK_REAL PDzero31_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDzero31_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (KRANC_GFOFFSET3D(u,-1,0,-1) - 1.*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDzero32(u) ((KRANC_GFOFFSET3D(u,0,-1,-1) - 1.*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz)
#else
#  define PDzero32(u) (PDzero32_impl(u,p1o4dydz,cdj,cdk))
static CCTK_REAL PDzero32_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDzero32_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (KRANC_GFOFFSET3D(u,0,-1,-1) - 1.*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDzero33(u) ((-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,0,-2) + KRANC_GFOFFSET3D(u,0,0,2))*p1o4dz2)
#else
#  define PDzero33(u) (PDzero33_impl(u,p1o4dz2,cdj,cdk))
static CCTK_REAL PDzero33_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDzero33_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,0,-2) + KRANC_GFOFFSET3D(u,0,0,2))*p1o4dz2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus1(u) ((-1.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1odx)
#else
#  define PDplus1(u) (PDplus1_impl(u,p1odx,cdj,cdk))
static CCTK_REAL PDplus1_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDplus1_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odx, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-1.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1odx;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus2(u) ((-1.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1ody)
#else
#  define PDplus2(u) (PDplus2_impl(u,p1ody,cdj,cdk))
static CCTK_REAL PDplus2_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1ody, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDplus2_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1ody, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-1.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1ody;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus3(u) ((-1.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,0,1))*p1odz)
#else
#  define PDplus3(u) (PDplus3_impl(u,p1odz,cdj,cdk))
static CCTK_REAL PDplus3_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDplus3_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return (-1.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,0,1))*p1odz;
}
#endif