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-rw-r--r--src/Differencing.h546
1 files changed, 504 insertions, 42 deletions
diff --git a/src/Differencing.h b/src/Differencing.h
index 867e7fc..8663bb8 100644
--- a/src/Differencing.h
+++ b/src/Differencing.h
@@ -1,42 +1,504 @@
-#define PDstandard2nd1(u) (p1o2dx*(-(u)[di*(-1)+dj*(0)+dk*(0)] + (u)[di*(1)+dj*(0)+dk*(0)]))
-#define PDstandard2nd2(u) (p1o2dy*(-(u)[di*(0)+dj*(-1)+dk*(0)] + (u)[di*(0)+dj*(1)+dk*(0)]))
-#define PDstandard2nd3(u) (p1o2dz*(-(u)[di*(0)+dj*(0)+dk*(-1)] + (u)[di*(0)+dj*(0)+dk*(1)]))
-#define PDstandard2nd11(u) (p1odx2*(-2*(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(-1)+dj*(0)+dk*(0)] + (u)[di*(1)+dj*(0)+dk*(0)]))
-#define PDstandard2nd22(u) (p1ody2*(-2*(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(0)+dj*(-1)+dk*(0)] + (u)[di*(0)+dj*(1)+dk*(0)]))
-#define PDstandard2nd33(u) (p1odz2*(-2*(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(0)+dj*(0)+dk*(-1)] + (u)[di*(0)+dj*(0)+dk*(1)]))
-#define PDstandard2nd12(u) (p1o4dxdy*((u)[di*(-1)+dj*(-1)+dk*(0)] - (u)[di*(-1)+dj*(1)+dk*(0)] - (u)[di*(1)+dj*(-1)+dk*(0)] + (u)[di*(1)+dj*(1)+dk*(0)]))
-#define PDstandard2nd13(u) (p1o4dxdz*((u)[di*(-1)+dj*(0)+dk*(-1)] - (u)[di*(-1)+dj*(0)+dk*(1)] - (u)[di*(1)+dj*(0)+dk*(-1)] + (u)[di*(1)+dj*(0)+dk*(1)]))
-#define PDstandard2nd21(u) (p1o4dxdy*((u)[di*(-1)+dj*(-1)+dk*(0)] - (u)[di*(-1)+dj*(1)+dk*(0)] - (u)[di*(1)+dj*(-1)+dk*(0)] + (u)[di*(1)+dj*(1)+dk*(0)]))
-#define PDstandard2nd23(u) (p1o4dydz*((u)[di*(0)+dj*(-1)+dk*(-1)] - (u)[di*(0)+dj*(-1)+dk*(1)] - (u)[di*(0)+dj*(1)+dk*(-1)] + (u)[di*(0)+dj*(1)+dk*(1)]))
-#define PDstandard2nd31(u) (p1o4dxdz*((u)[di*(-1)+dj*(0)+dk*(-1)] - (u)[di*(-1)+dj*(0)+dk*(1)] - (u)[di*(1)+dj*(0)+dk*(-1)] + (u)[di*(1)+dj*(0)+dk*(1)]))
-#define PDstandard2nd32(u) (p1o4dydz*((u)[di*(0)+dj*(-1)+dk*(-1)] - (u)[di*(0)+dj*(-1)+dk*(1)] - (u)[di*(0)+dj*(1)+dk*(-1)] + (u)[di*(0)+dj*(1)+dk*(1)]))
-#define PDstandard4th1(u) (p1o12dx*(-8*(u)[di*(-1)+dj*(0)+dk*(0)] + 8*(u)[di*(1)+dj*(0)+dk*(0)] + (u)[di*(-2)+dj*(0)+dk*(0)] - (u)[di*(2)+dj*(0)+dk*(0)]))
-#define PDstandard4th2(u) (p1o12dy*(-8*(u)[di*(0)+dj*(-1)+dk*(0)] + 8*(u)[di*(0)+dj*(1)+dk*(0)] + (u)[di*(0)+dj*(-2)+dk*(0)] - (u)[di*(0)+dj*(2)+dk*(0)]))
-#define PDstandard4th3(u) (p1o12dz*(-8*(u)[di*(0)+dj*(0)+dk*(-1)] + 8*(u)[di*(0)+dj*(0)+dk*(1)] + (u)[di*(0)+dj*(0)+dk*(-2)] - (u)[di*(0)+dj*(0)+dk*(2)]))
-#define PDstandard4th11(u) (pm1o12dx2*(30*(u)[di*(0)+dj*(0)+dk*(0)] - 16*((u)[di*(-1)+dj*(0)+dk*(0)] + (u)[di*(1)+dj*(0)+dk*(0)]) + (u)[di*(-2)+dj*(0)+dk*(0)] + (u)[di*(2)+dj*(0)+dk*(0)]))
-#define PDstandard4th22(u) (pm1o12dy2*(30*(u)[di*(0)+dj*(0)+dk*(0)] - 16*((u)[di*(0)+dj*(-1)+dk*(0)] + (u)[di*(0)+dj*(1)+dk*(0)]) + (u)[di*(0)+dj*(-2)+dk*(0)] + (u)[di*(0)+dj*(2)+dk*(0)]))
-#define PDstandard4th33(u) (pm1o12dz2*(30*(u)[di*(0)+dj*(0)+dk*(0)] - 16*((u)[di*(0)+dj*(0)+dk*(-1)] + (u)[di*(0)+dj*(0)+dk*(1)]) + (u)[di*(0)+dj*(0)+dk*(-2)] + (u)[di*(0)+dj*(0)+dk*(2)]))
-#define PDstandard4th12(u) (p1o144dxdy*(-64*((u)[di*(-1)+dj*(1)+dk*(0)] + (u)[di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[di*(-1)+dj*(-1)+dk*(0)] + (u)[di*(1)+dj*(1)+dk*(0)]) + 8*((u)[di*(-1)+dj*(2)+dk*(0)] + (u)[di*(1)+dj*(-2)+dk*(0)] + (u)[di*(-2)+dj*(1)+dk*(0)] + (u)[di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[di*(-1)+dj*(-2)+dk*(0)] + (u)[di*(1)+dj*(2)+dk*(0)] + (u)[di*(-2)+dj*(-1)+dk*(0)] + (u)[di*(2)+dj*(1)+dk*(0)]) + (u)[di*(-2)+dj*(-2)+dk*(0)] - (u)[di*(-2)+dj*(2)+dk*(0)] - (u)[di*(2)+dj*(-2)+dk*(0)] + (u)[di*(2)+dj*(2)+dk*(0)]))
-#define PDstandard4th13(u) (p1o144dxdz*(-64*((u)[di*(-1)+dj*(0)+dk*(1)] + (u)[di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[di*(-1)+dj*(0)+dk*(-1)] + (u)[di*(1)+dj*(0)+dk*(1)]) + 8*((u)[di*(-1)+dj*(0)+dk*(2)] + (u)[di*(1)+dj*(0)+dk*(-2)] + (u)[di*(-2)+dj*(0)+dk*(1)] + (u)[di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[di*(-1)+dj*(0)+dk*(-2)] + (u)[di*(1)+dj*(0)+dk*(2)] + (u)[di*(-2)+dj*(0)+dk*(-1)] + (u)[di*(2)+dj*(0)+dk*(1)]) + (u)[di*(-2)+dj*(0)+dk*(-2)] - (u)[di*(-2)+dj*(0)+dk*(2)] - (u)[di*(2)+dj*(0)+dk*(-2)] + (u)[di*(2)+dj*(0)+dk*(2)]))
-#define PDstandard4th21(u) (p1o144dxdy*(-64*((u)[di*(-1)+dj*(1)+dk*(0)] + (u)[di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[di*(-1)+dj*(-1)+dk*(0)] + (u)[di*(1)+dj*(1)+dk*(0)]) + 8*((u)[di*(-1)+dj*(2)+dk*(0)] + (u)[di*(1)+dj*(-2)+dk*(0)] + (u)[di*(-2)+dj*(1)+dk*(0)] + (u)[di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[di*(-1)+dj*(-2)+dk*(0)] + (u)[di*(1)+dj*(2)+dk*(0)] + (u)[di*(-2)+dj*(-1)+dk*(0)] + (u)[di*(2)+dj*(1)+dk*(0)]) + (u)[di*(-2)+dj*(-2)+dk*(0)] - (u)[di*(-2)+dj*(2)+dk*(0)] - (u)[di*(2)+dj*(-2)+dk*(0)] + (u)[di*(2)+dj*(2)+dk*(0)]))
-#define PDstandard4th23(u) (p1o144dydz*(-64*((u)[di*(0)+dj*(-1)+dk*(1)] + (u)[di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[di*(0)+dj*(-1)+dk*(-1)] + (u)[di*(0)+dj*(1)+dk*(1)]) + 8*((u)[di*(0)+dj*(-1)+dk*(2)] + (u)[di*(0)+dj*(1)+dk*(-2)] + (u)[di*(0)+dj*(-2)+dk*(1)] + (u)[di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[di*(0)+dj*(-1)+dk*(-2)] + (u)[di*(0)+dj*(1)+dk*(2)] + (u)[di*(0)+dj*(-2)+dk*(-1)] + (u)[di*(0)+dj*(2)+dk*(1)]) + (u)[di*(0)+dj*(-2)+dk*(-2)] - (u)[di*(0)+dj*(-2)+dk*(2)] - (u)[di*(0)+dj*(2)+dk*(-2)] + (u)[di*(0)+dj*(2)+dk*(2)]))
-#define PDstandard4th31(u) (p1o144dxdz*(-64*((u)[di*(-1)+dj*(0)+dk*(1)] + (u)[di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[di*(-1)+dj*(0)+dk*(-1)] + (u)[di*(1)+dj*(0)+dk*(1)]) + 8*((u)[di*(-1)+dj*(0)+dk*(2)] + (u)[di*(1)+dj*(0)+dk*(-2)] + (u)[di*(-2)+dj*(0)+dk*(1)] + (u)[di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[di*(-1)+dj*(0)+dk*(-2)] + (u)[di*(1)+dj*(0)+dk*(2)] + (u)[di*(-2)+dj*(0)+dk*(-1)] + (u)[di*(2)+dj*(0)+dk*(1)]) + (u)[di*(-2)+dj*(0)+dk*(-2)] - (u)[di*(-2)+dj*(0)+dk*(2)] - (u)[di*(2)+dj*(0)+dk*(-2)] + (u)[di*(2)+dj*(0)+dk*(2)]))
-#define PDstandard4th32(u) (p1o144dydz*(-64*((u)[di*(0)+dj*(-1)+dk*(1)] + (u)[di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[di*(0)+dj*(-1)+dk*(-1)] + (u)[di*(0)+dj*(1)+dk*(1)]) + 8*((u)[di*(0)+dj*(-1)+dk*(2)] + (u)[di*(0)+dj*(1)+dk*(-2)] + (u)[di*(0)+dj*(-2)+dk*(1)] + (u)[di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[di*(0)+dj*(-1)+dk*(-2)] + (u)[di*(0)+dj*(1)+dk*(2)] + (u)[di*(0)+dj*(-2)+dk*(-1)] + (u)[di*(0)+dj*(2)+dk*(1)]) + (u)[di*(0)+dj*(-2)+dk*(-2)] - (u)[di*(0)+dj*(-2)+dk*(2)] - (u)[di*(0)+dj*(2)+dk*(-2)] + (u)[di*(0)+dj*(2)+dk*(2)]))
-#define PDplus1(u) (p1odx*(-(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(1)+dj*(0)+dk*(0)]))
-#define PDplus2(u) (p1ody*(-(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(0)+dj*(1)+dk*(0)]))
-#define PDplus3(u) (p1odz*(-(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(0)+dj*(0)+dk*(1)]))
-#define PDminus1(u) (p1odx*((u)[di*(0)+dj*(0)+dk*(0)] - (u)[di*(-1)+dj*(0)+dk*(0)]))
-#define PDminus2(u) (p1ody*((u)[di*(0)+dj*(0)+dk*(0)] - (u)[di*(0)+dj*(-1)+dk*(0)]))
-#define PDminus3(u) (p1odz*((u)[di*(0)+dj*(0)+dk*(0)] - (u)[di*(0)+dj*(0)+dk*(-1)]))
-#define PDplus11(u) (p1odx2*((u)[di*(0)+dj*(0)+dk*(0)] - 2*(u)[di*(1)+dj*(0)+dk*(0)] + (u)[di*(2)+dj*(0)+dk*(0)]))
-#define PDplus12(u) (p1odxdy*((u)[di*(0)+dj*(0)+dk*(0)] - (u)[di*(0)+dj*(1)+dk*(0)] - (u)[di*(1)+dj*(0)+dk*(0)] + (u)[di*(1)+dj*(1)+dk*(0)]))
-#define PDplus13(u) (p1odxdz*((u)[di*(0)+dj*(0)+dk*(0)] - (u)[di*(0)+dj*(0)+dk*(1)] - (u)[di*(1)+dj*(0)+dk*(0)] + (u)[di*(1)+dj*(0)+dk*(1)]))
-#define PDplus21(u) (p1odxdy*((u)[di*(0)+dj*(0)+dk*(0)] - (u)[di*(0)+dj*(1)+dk*(0)] - (u)[di*(1)+dj*(0)+dk*(0)] + (u)[di*(1)+dj*(1)+dk*(0)]))
-#define PDplus22(u) (p1ody2*((u)[di*(0)+dj*(0)+dk*(0)] - 2*(u)[di*(0)+dj*(1)+dk*(0)] + (u)[di*(0)+dj*(2)+dk*(0)]))
-#define PDplus23(u) (p1odydz*((u)[di*(0)+dj*(0)+dk*(0)] - (u)[di*(0)+dj*(0)+dk*(1)] - (u)[di*(0)+dj*(1)+dk*(0)] + (u)[di*(0)+dj*(1)+dk*(1)]))
-#define PDplus31(u) (p1odxdz*((u)[di*(0)+dj*(0)+dk*(0)] - (u)[di*(0)+dj*(0)+dk*(1)] - (u)[di*(1)+dj*(0)+dk*(0)] + (u)[di*(1)+dj*(0)+dk*(1)]))
-#define PDplus32(u) (p1odydz*((u)[di*(0)+dj*(0)+dk*(0)] - (u)[di*(0)+dj*(0)+dk*(1)] - (u)[di*(0)+dj*(1)+dk*(0)] + (u)[di*(0)+dj*(1)+dk*(1)]))
-#define PDplus33(u) (p1odz2*((u)[di*(0)+dj*(0)+dk*(0)] - 2*(u)[di*(0)+dj*(0)+dk*(1)] + (u)[di*(0)+dj*(0)+dk*(2)]))
-#define PDonesided2nd1(u) (pm1o2dx*(3*(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(2*dir(1))+dj*(0)+dk*(0)] - 4*(u)[di*(dir(1))+dj*(0)+dk*(0)])*dir(1))
-#define PDonesided2nd2(u) (pm1o2dy*(3*(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(0)+dj*(2*dir(2))+dk*(0)] - 4*(u)[di*(0)+dj*(dir(2))+dk*(0)])*dir(2))
-#define PDonesided2nd3(u) (pm1o2dz*(3*(u)[di*(0)+dj*(0)+dk*(0)] + (u)[di*(0)+dj*(0)+dk*(2*dir(3))] - 4*(u)[di*(0)+dj*(0)+dk*(dir(3))])*dir(3))
+#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
+