Update code as generated by current version of Kranc

git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/WeylScal4/trunk@70 4f5cb9a8-4dd8-4c2d-9bbd-173fa4467843

1 files changed, 42 insertions, 42 deletions

diff --git a/src/Differencing.h b/src/Differencing.h
index 60c4baf..867e7fc 100644
--- a/src/Differencing.h
+++ b/src/Differencing.h
@@ -1,42 +1,42 @@
-#define PDstandard2nd1(u,i,j,k) (p1o2dx*(-(u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]))
-#define PDstandard2nd2(u,i,j,k) (p1o2dy*(-(u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]))
-#define PDstandard2nd3(u,i,j,k) (p1o2dz*(-(u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]))
-#define PDstandard2nd11(u,i,j,k) (p1odx2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]))
-#define PDstandard2nd22(u,i,j,k) (p1ody2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]))
-#define PDstandard2nd33(u,i,j,k) (p1odz2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]))
-#define PDstandard2nd12(u,i,j,k) (p1o4dxdy*((u)[index+di*(-1)+dj*(-1)+dk*(0)] - (u)[index+di*(-1)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]))
-#define PDstandard2nd13(u,i,j,k) (p1o4dxdz*((u)[index+di*(-1)+dj*(0)+dk*(-1)] - (u)[index+di*(-1)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]))
-#define PDstandard2nd21(u,i,j,k) (p1o4dxdy*((u)[index+di*(-1)+dj*(-1)+dk*(0)] - (u)[index+di*(-1)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]))
-#define PDstandard2nd23(u,i,j,k) (p1o4dydz*((u)[index+di*(0)+dj*(-1)+dk*(-1)] - (u)[index+di*(0)+dj*(-1)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]))
-#define PDstandard2nd31(u,i,j,k) (p1o4dxdz*((u)[index+di*(-1)+dj*(0)+dk*(-1)] - (u)[index+di*(-1)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]))
-#define PDstandard2nd32(u,i,j,k) (p1o4dydz*((u)[index+di*(0)+dj*(-1)+dk*(-1)] - (u)[index+di*(0)+dj*(-1)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]))
-#define PDstandard4th1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)]))
-#define PDstandard4th2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)]))
-#define PDstandard4th3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)]))
-#define PDstandard4th11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)]))
-#define PDstandard4th22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)]))
-#define PDstandard4th33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)]))
-#define PDstandard4th12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)]))
-#define PDstandard4th13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)]))
-#define PDstandard4th21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)]))
-#define PDstandard4th23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)]))
-#define PDstandard4th31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)]))
-#define PDstandard4th32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)]))
-#define PDplus1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]))
-#define PDplus2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]))
-#define PDplus3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(1)]))
-#define PDminus1(u,i,j,k) (p1odx*((u)[index+di*(0)+dj*(0)+dk*(0)] - (u)[index+di*(-1)+dj*(0)+dk*(0)]))
-#define PDminus2(u,i,j,k) (p1ody*((u)[index+di*(0)+dj*(0)+dk*(0)] - (u)[index+di*(0)+dj*(-1)+dk*(0)]))
-#define PDminus3(u,i,j,k) (p1odz*((u)[index+di*(0)+dj*(0)+dk*(0)] - (u)[index+di*(0)+dj*(0)+dk*(-1)]))
-#define PDplus11(u,i,j,k) (p1odx2*((u)[index+di*(0)+dj*(0)+dk*(0)] - 2*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)]))
-#define PDplus12(u,i,j,k) (p1odxdy*((u)[index+di*(0)+dj*(0)+dk*(0)] - (u)[index+di*(0)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]))
-#define PDplus13(u,i,j,k) (p1odxdz*((u)[index+di*(0)+dj*(0)+dk*(0)] - (u)[index+di*(0)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(1)]))
-#define PDplus21(u,i,j,k) (p1odxdy*((u)[index+di*(0)+dj*(0)+dk*(0)] - (u)[index+di*(0)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]))
-#define PDplus22(u,i,j,k) (p1ody2*((u)[index+di*(0)+dj*(0)+dk*(0)] - 2*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)]))
-#define PDplus23(u,i,j,k) (p1odydz*((u)[index+di*(0)+dj*(0)+dk*(0)] - (u)[index+di*(0)+dj*(0)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(1)]))
-#define PDplus31(u,i,j,k) (p1odxdz*((u)[index+di*(0)+dj*(0)+dk*(0)] - (u)[index+di*(0)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(1)]))
-#define PDplus32(u,i,j,k) (p1odydz*((u)[index+di*(0)+dj*(0)+dk*(0)] - (u)[index+di*(0)+dj*(0)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(1)]))
-#define PDplus33(u,i,j,k) (p1odz2*((u)[index+di*(0)+dj*(0)+dk*(0)] - 2*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(2)]))
-#define PDonesided2nd1(u,i,j,k) (pm1o2dx*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(2*dir(1))+dj*(0)+dk*(0)] - 4*(u)[index+di*(dir(1))+dj*(0)+dk*(0)])*dir(1))
-#define PDonesided2nd2(u,i,j,k) (pm1o2dy*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(2*dir(2))+dk*(0)] - 4*(u)[index+di*(0)+dj*(dir(2))+dk*(0)])*dir(2))
-#define PDonesided2nd3(u,i,j,k) (pm1o2dz*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(2*dir(3))] - 4*(u)[index+di*(0)+dj*(0)+dk*(dir(3))])*dir(3))
+#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))