#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard2nd1(u) ((-(*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]))*p1o2dx)
#else
#  define PDstandard2nd1(u) (PDstandard2nd1_impl(u,p1o2dx,cdj,cdk))
static CCTK_REAL PDstandard2nd1_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 PDstandard2nd1_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-(*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]))*p1o2dx;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard2nd2(u) ((-(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]))*p1o2dy)
#else
#  define PDstandard2nd2(u) (PDstandard2nd2_impl(u,p1o2dy,cdj,cdk))
static CCTK_REAL PDstandard2nd2_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 PDstandard2nd2_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]))*p1o2dy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard2nd3(u) ((-(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]))*p1o2dz)
#else
#  define PDstandard2nd3(u) (PDstandard2nd3_impl(u,p1o2dz,cdj,cdk))
static CCTK_REAL PDstandard2nd3_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 PDstandard2nd3_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]))*p1o2dz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard2nd11(u) ((-2*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]))*p1odx2)
#else
#  define PDstandard2nd11(u) (PDstandard2nd11_impl(u,p1odx2,cdj,cdk))
static CCTK_REAL PDstandard2nd11_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 PDstandard2nd11_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-2*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]))*p1odx2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard2nd22(u) ((-2*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]))*p1ody2)
#else
#  define PDstandard2nd22(u) (PDstandard2nd22_impl(u,p1ody2,cdj,cdk))
static CCTK_REAL PDstandard2nd22_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 PDstandard2nd22_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1ody2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-2*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]))*p1ody2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard2nd33(u) ((-2*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]))*p1odz2)
#else
#  define PDstandard2nd33(u) (PDstandard2nd33_impl(u,p1odz2,cdj,cdk))
static CCTK_REAL PDstandard2nd33_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 PDstandard2nd33_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-2*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]))*p1odz2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard2nd12(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)]))*p1o4dxdy)
#else
#  define PDstandard2nd12(u) (PDstandard2nd12_impl(u,p1o4dxdy,cdj,cdk))
static CCTK_REAL PDstandard2nd12_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 PDstandard2nd12_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)]))*p1o4dxdy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard2nd13(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)]))*p1o4dxdz)
#else
#  define PDstandard2nd13(u) (PDstandard2nd13_impl(u,p1o4dxdz,cdj,cdk))
static CCTK_REAL PDstandard2nd13_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 PDstandard2nd13_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)]))*p1o4dxdz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard2nd21(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)]))*p1o4dxdy)
#else
#  define PDstandard2nd21(u) (PDstandard2nd21_impl(u,p1o4dxdy,cdj,cdk))
static CCTK_REAL PDstandard2nd21_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 PDstandard2nd21_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)]))*p1o4dxdy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard2nd23(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)]))*p1o4dydz)
#else
#  define PDstandard2nd23(u) (PDstandard2nd23_impl(u,p1o4dydz,cdj,cdk))
static CCTK_REAL PDstandard2nd23_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 PDstandard2nd23_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)]))*p1o4dydz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard2nd31(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)]))*p1o4dxdz)
#else
#  define PDstandard2nd31(u) (PDstandard2nd31_impl(u,p1o4dxdz,cdj,cdk))
static CCTK_REAL PDstandard2nd31_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 PDstandard2nd31_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)]))*p1o4dxdz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard2nd32(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)]))*p1o4dydz)
#else
#  define PDstandard2nd32(u) (PDstandard2nd32_impl(u,p1o4dydz,cdj,cdk))
static CCTK_REAL PDstandard2nd32_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 PDstandard2nd32_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)]))*p1o4dydz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard4th1(u) ((-8*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]) + 8*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]))*p1o12dx)
#else
#  define PDstandard4th1(u) (PDstandard4th1_impl(u,p1o12dx,cdj,cdk))
static CCTK_REAL PDstandard4th1_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 PDstandard4th1_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-8*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]) + 8*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]))*p1o12dx;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard4th2(u) ((-8*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]) + 8*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]))*p1o12dy)
#else
#  define PDstandard4th2(u) (PDstandard4th2_impl(u,p1o12dy,cdj,cdk))
static CCTK_REAL PDstandard4th2_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 PDstandard4th2_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-8*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]) + 8*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]))*p1o12dy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard4th3(u) ((-8*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]) + 8*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]))*p1o12dz)
#else
#  define PDstandard4th3(u) (PDstandard4th3_impl(u,p1o12dz,cdj,cdk))
static CCTK_REAL PDstandard4th3_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 PDstandard4th3_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-8*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]) + 8*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]))*p1o12dz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard4th11(u) ((30*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - 16*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]))*pm1o12dx2)
#else
#  define PDstandard4th11(u) (PDstandard4th11_impl(u,pm1o12dx2,cdj,cdk))
static CCTK_REAL PDstandard4th11_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 PDstandard4th11_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (30*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - 16*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]))*pm1o12dx2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard4th22(u) ((30*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - 16*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]))*pm1o12dy2)
#else
#  define PDstandard4th22(u) (PDstandard4th22_impl(u,pm1o12dy2,cdj,cdk))
static CCTK_REAL PDstandard4th22_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 PDstandard4th22_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dy2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (30*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - 16*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]))*pm1o12dy2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard4th33(u) ((30*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - 16*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]))*pm1o12dz2)
#else
#  define PDstandard4th33(u) (PDstandard4th33_impl(u,pm1o12dz2,cdj,cdk))
static CCTK_REAL PDstandard4th33_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 PDstandard4th33_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (30*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - 16*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]))*pm1o12dz2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard4th12(u) ((-64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])) + 64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])) + 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])) - 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)]))*p1o144dxdy)
#else
#  define PDstandard4th12(u) (PDstandard4th12_impl(u,p1o144dxdy,cdj,cdk))
static CCTK_REAL PDstandard4th12_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 PDstandard4th12_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])) + 64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])) + 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])) - 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)]))*p1o144dxdy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard4th13(u) ((-64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])) + 64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])) + 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])) - 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)]))*p1o144dxdz)
#else
#  define PDstandard4th13(u) (PDstandard4th13_impl(u,p1o144dxdz,cdj,cdk))
static CCTK_REAL PDstandard4th13_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 PDstandard4th13_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])) + 64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])) + 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])) - 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)]))*p1o144dxdz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard4th21(u) ((-64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])) + 64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])) + 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])) - 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)]))*p1o144dxdy)
#else
#  define PDstandard4th21(u) (PDstandard4th21_impl(u,p1o144dxdy,cdj,cdk))
static CCTK_REAL PDstandard4th21_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 PDstandard4th21_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-1)+cdk*(0)])) + 64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)])) + 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-1)+cdk*(0)])) - 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(1)+cdk*(0)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(-2)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(2)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(-2)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(2)+cdk*(0)]))*p1o144dxdy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard4th23(u) ((-64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])) + 64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])) + 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])) - 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)]))*p1o144dydz)
#else
#  define PDstandard4th23(u) (PDstandard4th23_impl(u,p1o144dydz,cdj,cdk))
static CCTK_REAL PDstandard4th23_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 PDstandard4th23_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])) + 64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])) + 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])) - 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)]))*p1o144dydz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard4th31(u) ((-64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])) + 64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])) + 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])) - 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)]))*p1o144dxdz)
#else
#  define PDstandard4th31(u) (PDstandard4th31_impl(u,p1o144dxdz,cdj,cdk))
static CCTK_REAL PDstandard4th31_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 PDstandard4th31_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-1)])) + 64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)])) + 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-1)])) - 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(1)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(-2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-2)+cdj*(0)+cdk*(2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(2)]))*p1o144dxdz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard4th32(u) ((-64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])) + 64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])) + 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])) - 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)]))*p1o144dydz)
#else
#  define PDstandard4th32(u) (PDstandard4th32_impl(u,p1o144dydz,cdj,cdk))
static CCTK_REAL PDstandard4th32_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 PDstandard4th32_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return (-64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-1)])) + 64*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)])) + 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-1)])) - 8*((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(1)])) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(-2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-2)+cdk*(2)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(-2)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(2)]))*p1o144dydz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus1(u) ((-(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(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=sizeof(CCTK_REAL);
  return (-(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]))*p1odx;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus2(u) ((-(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(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=sizeof(CCTK_REAL);
  return (-(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]))*p1ody;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus3(u) ((-(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(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=sizeof(CCTK_REAL);
  return (-(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]))*p1odz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDminus1(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]))*p1odx)
#else
#  define PDminus1(u) (PDminus1_impl(u,p1odx,cdj,cdk))
static CCTK_REAL PDminus1_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 PDminus1_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odx, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(-1)+cdj*(0)+cdk*(0)]))*p1odx;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDminus2(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]))*p1ody)
#else
#  define PDminus2(u) (PDminus2_impl(u,p1ody,cdj,cdk))
static CCTK_REAL PDminus2_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 PDminus2_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1ody, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(-1)+cdk*(0)]))*p1ody;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDminus3(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]))*p1odz)
#else
#  define PDminus3(u) (PDminus3_impl(u,p1odz,cdj,cdk))
static CCTK_REAL PDminus3_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 PDminus3_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(-1)]))*p1odz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus11(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - 2*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]))*p1odx2)
#else
#  define PDplus11(u) (PDplus11_impl(u,p1odx2,cdj,cdk))
static CCTK_REAL PDplus11_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 PDplus11_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - 2*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2)+cdj*(0)+cdk*(0)]))*p1odx2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus12(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)]))*p1odxdy)
#else
#  define PDplus12(u) (PDplus12_impl(u,p1odxdy,cdj,cdk))
static CCTK_REAL PDplus12_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDplus12_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)]))*p1odxdy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus13(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)]))*p1odxdz)
#else
#  define PDplus13(u) (PDplus13_impl(u,p1odxdz,cdj,cdk))
static CCTK_REAL PDplus13_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDplus13_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)]))*p1odxdz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus21(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)]))*p1odxdy)
#else
#  define PDplus21(u) (PDplus21_impl(u,p1odxdy,cdj,cdk))
static CCTK_REAL PDplus21_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDplus21_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(1)+cdk*(0)]))*p1odxdy;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus22(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - 2*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]))*p1ody2)
#else
#  define PDplus22(u) (PDplus22_impl(u,p1ody2,cdj,cdk))
static CCTK_REAL PDplus22_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 PDplus22_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1ody2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - 2*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2)+cdk*(0)]))*p1ody2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus23(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)]))*p1odydz)
#else
#  define PDplus23(u) (PDplus23_impl(u,p1odydz,cdj,cdk))
static CCTK_REAL PDplus23_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDplus23_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)]))*p1odydz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus31(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)]))*p1odxdz)
#else
#  define PDplus31(u) (PDplus31_impl(u,p1odxdz,cdj,cdk))
static CCTK_REAL PDplus31_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDplus31_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(1)+cdj*(0)+cdk*(1)]))*p1odxdz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus32(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)]))*p1odydz)
#else
#  define PDplus32(u) (PDplus32_impl(u,p1odydz,cdj,cdk))
static CCTK_REAL PDplus32_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
static CCTK_REAL PDplus32_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]) - (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(1)+cdk*(1)]))*p1odydz;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDplus33(u) (((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - 2*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]))*p1odz2)
#else
#  define PDplus33(u) (PDplus33_impl(u,p1odz2,cdj,cdk))
static CCTK_REAL PDplus33_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 PDplus33_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
{
  ptrdiff_t const cdi=sizeof(CCTK_REAL);
  return ((*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) - 2*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(1)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2)]))*p1odz2;
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDonesided2nd1(u) ((3*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2*dir(1))+cdj*(0)+cdk*(0)]) - 4*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(dir(1))+cdj*(0)+cdk*(0)]))*pm1o2dx*dir(1))
#else
#  define PDonesided2nd1(u) (PDonesided2nd1_impl(u,pm1o2dx,cdj,cdk))
static CCTK_REAL PDonesided2nd1_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk) 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 cdi=sizeof(CCTK_REAL);
  return (3*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(2*dir(1))+cdj*(0)+cdk*(0)]) - 4*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(dir(1))+cdj*(0)+cdk*(0)]))*pm1o2dx*dir(1);
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDonesided2nd2(u) ((3*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2*dir(2))+cdk*(0)]) - 4*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(dir(2))+cdk*(0)]))*pm1o2dy*dir(2))
#else
#  define PDonesided2nd2(u) (PDonesided2nd2_impl(u,pm1o2dy,cdj,cdk))
static CCTK_REAL PDonesided2nd2_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk) 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 cdi=sizeof(CCTK_REAL);
  return (3*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(2*dir(2))+cdk*(0)]) - 4*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(dir(2))+cdk*(0)]))*pm1o2dy*dir(2);
}
#endif

#ifndef KRANC_DIFF_FUNCTIONS
#  define PDonesided2nd3(u) ((3*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2*dir(3))]) - 4*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(dir(3))]))*pm1o2dz*dir(3))
#else
#  define PDonesided2nd3(u) (PDonesided2nd3_impl(u,pm1o2dz,cdj,cdk))
static CCTK_REAL PDonesided2nd3_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk) 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 cdi=sizeof(CCTK_REAL);
  return (3*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(0)]) + (*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(2*dir(3))]) - 4*(*(CCTK_REAL const*)&((char const*)(u))[cdi*(0)+cdj*(0)+cdk*(dir(3))]))*pm1o2dz*dir(3);
}
#endif