#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardNth1(u) ((-8*KRANC_GFOFFSET3D(u,-1,0,0) + 8*KRANC_GFOFFSET3D(u,1,0,0) + KRANC_GFOFFSET3D(u,-2,0,0) - KRANC_GFOFFSET3D(u,2,0,0))*p1o12dx)
#else
#  define PDstandardNth1(u) (PDstandardNth1_impl(u,p1o12dx,cdj,cdk))
static CCTK_REAL PDstandardNth1_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o12dx, const ptrdiff_t cdj, const ptrdiff_t cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardNth1_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o12dx, const ptrdiff_t cdj, const ptrdiff_t cdk)
{
  const ptrdiff_t 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) - KRANC_GFOFFSET3D(u,2,0,0))*p1o12dx;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardNth2(u) ((-8*KRANC_GFOFFSET3D(u,0,-1,0) + 8*KRANC_GFOFFSET3D(u,0,1,0) + KRANC_GFOFFSET3D(u,0,-2,0) - KRANC_GFOFFSET3D(u,0,2,0))*p1o12dy)
#else
#  define PDstandardNth2(u) (PDstandardNth2_impl(u,p1o12dy,cdj,cdk))
static CCTK_REAL PDstandardNth2_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o12dy, const ptrdiff_t cdj, const ptrdiff_t cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardNth2_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o12dy, const ptrdiff_t cdj, const ptrdiff_t cdk)
{
  const ptrdiff_t 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) - KRANC_GFOFFSET3D(u,0,2,0))*p1o12dy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardNth3(u) ((-8*KRANC_GFOFFSET3D(u,0,0,-1) + 8*KRANC_GFOFFSET3D(u,0,0,1) + KRANC_GFOFFSET3D(u,0,0,-2) - KRANC_GFOFFSET3D(u,0,0,2))*p1o12dz)
#else
#  define PDstandardNth3(u) (PDstandardNth3_impl(u,p1o12dz,cdj,cdk))
static CCTK_REAL PDstandardNth3_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o12dz, const ptrdiff_t cdj, const ptrdiff_t cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardNth3_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o12dz, const ptrdiff_t cdj, const ptrdiff_t cdk)
{
  const ptrdiff_t cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return PDstandardNth2_impl(u, p1o12dz, cdk, cdj);
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardNth11(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 PDstandardNth11(u) (PDstandardNth11_impl(u,pm1o12dx2,cdj,cdk))
static CCTK_REAL PDstandardNth11_impl(const CCTK_REAL* restrict const u, const CCTK_REAL pm1o12dx2, const ptrdiff_t cdj, const ptrdiff_t cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardNth11_impl(const CCTK_REAL* restrict const u, const CCTK_REAL pm1o12dx2, const ptrdiff_t cdj, const ptrdiff_t cdk)
{
  const ptrdiff_t 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 PDstandardNth22(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 PDstandardNth22(u) (PDstandardNth22_impl(u,pm1o12dy2,cdj,cdk))
static CCTK_REAL PDstandardNth22_impl(const CCTK_REAL* restrict const u, const CCTK_REAL pm1o12dy2, const ptrdiff_t cdj, const ptrdiff_t cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardNth22_impl(const CCTK_REAL* restrict const u, const CCTK_REAL pm1o12dy2, const ptrdiff_t cdj, const ptrdiff_t cdk)
{
  const ptrdiff_t 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 PDstandardNth33(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 PDstandardNth33(u) (PDstandardNth33_impl(u,pm1o12dz2,cdj,cdk))
static CCTK_REAL PDstandardNth33_impl(const CCTK_REAL* restrict const u, const CCTK_REAL pm1o12dz2, const ptrdiff_t cdj, const ptrdiff_t cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardNth33_impl(const CCTK_REAL* restrict const u, const CCTK_REAL pm1o12dz2, const ptrdiff_t cdj, const ptrdiff_t cdk)
{
  const ptrdiff_t cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return PDstandardNth22_impl(u, pm1o12dz2, cdk, cdj);
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardNth12(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) - KRANC_GFOFFSET3D(u,-2,2,0) - KRANC_GFOFFSET3D(u,2,-2,0) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy)
#else
#  define PDstandardNth12(u) (PDstandardNth12_impl(u,p1o144dxdy,cdj,cdk))
static CCTK_REAL PDstandardNth12_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o144dxdy, const ptrdiff_t cdj, const ptrdiff_t cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardNth12_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o144dxdy, const ptrdiff_t cdj, const ptrdiff_t cdk)
{
  const ptrdiff_t 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) - 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 PDstandardNth13(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) - KRANC_GFOFFSET3D(u,-2,0,2) - KRANC_GFOFFSET3D(u,2,0,-2) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz)
#else
#  define PDstandardNth13(u) (PDstandardNth13_impl(u,p1o144dxdz,cdj,cdk))
static CCTK_REAL PDstandardNth13_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o144dxdz, const ptrdiff_t cdj, const ptrdiff_t cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardNth13_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o144dxdz, const ptrdiff_t cdj, const ptrdiff_t cdk)
{
  const ptrdiff_t cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return PDstandardNth12_impl(u, p1o144dxdz, cdk, cdj);
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardNth21(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) - KRANC_GFOFFSET3D(u,-2,2,0) - KRANC_GFOFFSET3D(u,2,-2,0) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy)
#else
#  define PDstandardNth21(u) (PDstandardNth21_impl(u,p1o144dxdy,cdj,cdk))
static CCTK_REAL PDstandardNth21_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o144dxdy, const ptrdiff_t cdj, const ptrdiff_t cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardNth21_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o144dxdy, const ptrdiff_t cdj, const ptrdiff_t cdk)
{
  const ptrdiff_t cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return PDstandardNth12_impl(u, p1o144dxdy, cdj, cdk);
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardNth23(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) - KRANC_GFOFFSET3D(u,0,-2,2) - KRANC_GFOFFSET3D(u,0,2,-2) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz)
#else
#  define PDstandardNth23(u) (PDstandardNth23_impl(u,p1o144dydz,cdj,cdk))
static CCTK_REAL PDstandardNth23_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o144dydz, const ptrdiff_t cdj, const ptrdiff_t cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardNth23_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o144dydz, const ptrdiff_t cdj, const ptrdiff_t cdk)
{
  const ptrdiff_t 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) - 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 PDstandardNth31(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) - KRANC_GFOFFSET3D(u,-2,0,2) - KRANC_GFOFFSET3D(u,2,0,-2) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz)
#else
#  define PDstandardNth31(u) (PDstandardNth31_impl(u,p1o144dxdz,cdj,cdk))
static CCTK_REAL PDstandardNth31_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o144dxdz, const ptrdiff_t cdj, const ptrdiff_t cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardNth31_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o144dxdz, const ptrdiff_t cdj, const ptrdiff_t cdk)
{
  const ptrdiff_t cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return PDstandardNth12_impl(u, p1o144dxdz, cdk, cdj);
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandardNth32(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) - KRANC_GFOFFSET3D(u,0,-2,2) - KRANC_GFOFFSET3D(u,0,2,-2) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz)
#else
#  define PDstandardNth32(u) (PDstandardNth32_impl(u,p1o144dydz,cdj,cdk))
static CCTK_REAL PDstandardNth32_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o144dydz, const ptrdiff_t cdj, const ptrdiff_t cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDstandardNth32_impl(const CCTK_REAL* restrict const u, const CCTK_REAL p1o144dydz, const ptrdiff_t cdj, const ptrdiff_t cdk)
{
  const ptrdiff_t cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL);
  return PDstandardNth23_impl(u, p1o144dydz, cdj, cdk);
}
#endif