#ifndef KRANC_DIFF_FUNCTIONS
#  define PDstandard2nd1(u) ((-1.*KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*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 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 PDstandard2nd2(u) ((-1.*KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*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 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 PDstandard2nd3(u) ((-1.*KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*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 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 PDstandard2nd11(u) ((-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*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 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 PDstandard2nd22(u) ((-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*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 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 PDstandard2nd33(u) ((-2.*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*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 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