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authorknarf <knarf@4f5cb9a8-4dd8-4c2d-9bbd-173fa4467843>2010-03-26 10:26:29 +0000
committerknarf <knarf@4f5cb9a8-4dd8-4c2d-9bbd-173fa4467843>2010-03-26 10:26:29 +0000
commitd7ddbe354ebe7072ff6687124e5f620d56a16b28 (patch)
tree152b9449c9bf90c96a914d611cf855379df225d5 /src
use trunc structure
git-svn-id: http://svn.einsteintoolkit.org/cactus/EinsteinAnalysis/WeylScal4/trunk@50 4f5cb9a8-4dd8-4c2d-9bbd-173fa4467843
Diffstat (limited to 'src')
-rw-r--r--src/Boundaries.c41
-rw-r--r--src/Differencing.h42
-rw-r--r--src/RegisterMoL.c16
-rw-r--r--src/RegisterSymmetries.c29
-rw-r--r--src/Startup.c10
-rw-r--r--src/make.code.defn3
-rw-r--r--src/psis_calc_2nd.c1260
-rw-r--r--src/psis_calc_4th.c1260
8 files changed, 2661 insertions, 0 deletions
diff --git a/src/Boundaries.c b/src/Boundaries.c
new file mode 100644
index 0000000..ef1a009
--- /dev/null
+++ b/src/Boundaries.c
@@ -0,0 +1,41 @@
+/* File produced by Kranc */
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+#include "cctk_Faces.h"
+#include "util_Table.h"
+#include "Symmetry.h"
+
+
+/* the boundary treatment is split into 3 steps: */
+/* 1. excision */
+/* 2. symmetries */
+/* 3. "other" boundary conditions, e.g. radiative */
+
+/* to simplify scheduling and testing, the 3 steps */
+/* are currently applied in separate functions */
+
+
+void WeylScal4_CheckBoundaries(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ return;
+}
+
+void WeylScal4_SelectBoundConds(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ CCTK_INT ierr = 0;
+ return;
+}
+
+
+
+/* template for entries in parameter file:
+*/
+
diff --git a/src/Differencing.h b/src/Differencing.h
new file mode 100644
index 0000000..220d0d5
--- /dev/null
+++ b/src/Differencing.h
@@ -0,0 +1,42 @@
+#define PDstandard2nd1(u,i,j,k) (p1o2dx*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))]))
+#define PDstandard2nd2(u,i,j,k) (p1o2dy*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))]))
+#define PDstandard2nd3(u,i,j,k) (p1o2dz*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))]))
+#define PDstandard2nd11(u,i,j,k) (p1odx2*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] - 2*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDstandard2nd22(u,i,j,k) (p1ody2*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] - 2*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDstandard2nd33(u,i,j,k) (p1odz2*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] - 2*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDstandard2nd12(u,i,j,k) (p1o4dxdy*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]))
+#define PDstandard2nd13(u,i,j,k) (p1o4dxdz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]))
+#define PDstandard2nd21(u,i,j,k) (p1o4dxdy*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]))
+#define PDstandard2nd23(u,i,j,k) (p1o4dydz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]))
+#define PDstandard2nd31(u,i,j,k) (p1o4dxdz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]))
+#define PDstandard2nd32(u,i,j,k) (p1o4dydz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]))
+#define PDstandard4th1(u,i,j,k) (p1o12dx*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))]))
+#define PDstandard4th2(u,i,j,k) (p1o12dy*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))]))
+#define PDstandard4th3(u,i,j,k) (p1o12dz*(-8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + 8*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))]))
+#define PDstandard4th11(u,i,j,k) (pm1o12dx2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDstandard4th22(u,i,j,k) (pm1o12dy2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDstandard4th33(u,i,j,k) (pm1o12dz2*(-16*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))] + 30*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDstandard4th12(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))]))
+#define PDstandard4th13(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))]))
+#define PDstandard4th21(u,i,j,k) (p1o144dxdy*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-1 + j),(int)(k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-1 + j),(int)(k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(1 + j),(int)(k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(-2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(2 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(-2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(2 + j),(int)(k))]))
+#define PDstandard4th23(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))]))
+#define PDstandard4th31(u,i,j,k) (p1o144dxdz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(-2 + i),(int)(j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(2 + k))]))
+#define PDstandard4th32(u,i,j,k) (p1o144dydz*(-64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-1 + k))]) + 64*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))]) + 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-1 + k))]) - 8*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(1 + k))]) + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(-2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-2 + j),(int)(2 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(-2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(2 + k))]))
+#define PDplus1(u,i,j,k) (p1odx*((u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDplus2(u,i,j,k) (p1ody*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDplus3(u,i,j,k) (p1odz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDminus1(u,i,j,k) (p1odx*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(-1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDminus2(u,i,j,k) (p1ody*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(-1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDminus3(u,i,j,k) (p1odz*(-(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(-1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDplus11(u,i,j,k) (p1odx2*(-2*(u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(2 + i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDplus12(u,i,j,k) (p1odxdy*((u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDplus13(u,i,j,k) (p1odxdz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDplus21(u,i,j,k) (p1odxdy*((u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDplus22(u,i,j,k) (p1ody2*(-2*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(2 + j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDplus23(u,i,j,k) (p1odydz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDplus31(u,i,j,k) (p1odxdz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(1 + i),(int)(j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDplus32(u,i,j,k) (p1odydz*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(1 + k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(1 + j),(int)(k))] - (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDplus33(u,i,j,k) (p1odz2*(-2*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(1 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(2 + k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))]))
+#define PDonesided2nd1(u,i,j,k) (pm1o2dx*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i + 2*dir(1)),(int)(j),(int)(k))] - 4*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i + dir(1)),(int)(j),(int)(k))] + 3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir(1))
+#define PDonesided2nd2(u,i,j,k) (pm1o2dy*((u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + 2*dir(2)),(int)(k))] - 4*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j + dir(2)),(int)(k))] + 3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))])*dir(2))
+#define PDonesided2nd3(u,i,j,k) (pm1o2dz*(3*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k))] + (u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + 2*dir(3)))] - 4*(u)[CCTK_GFINDEX3D(cctkGH,(int)(i),(int)(j),(int)(k + dir(3)))])*dir(3))
diff --git a/src/RegisterMoL.c b/src/RegisterMoL.c
new file mode 100644
index 0000000..4ab3ebf
--- /dev/null
+++ b/src/RegisterMoL.c
@@ -0,0 +1,16 @@
+/* File produced by Kranc */
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+void WeylScal4_RegisterVars(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ CCTK_INT ierr = 0;
+
+ /* Register all the evolved grid functions with MoL */
+ return;
+}
diff --git a/src/RegisterSymmetries.c b/src/RegisterSymmetries.c
new file mode 100644
index 0000000..20511fd
--- /dev/null
+++ b/src/RegisterSymmetries.c
@@ -0,0 +1,29 @@
+/* File produced by Kranc */
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+#include "Symmetry.h"
+
+void WeylScal4_RegisterSymmetries(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+
+ /* array holding symmetry definitions */
+ CCTK_INT sym[3];
+
+
+ /* Register symmetries of grid functions */
+ sym[0] = 1;
+ sym[1] = 1;
+ sym[2] = 1;
+ SetCartSymVN(cctkGH, sym, "WeylScal4::Psi4i");
+
+ sym[0] = 1;
+ sym[1] = 1;
+ sym[2] = 1;
+ SetCartSymVN(cctkGH, sym, "WeylScal4::Psi4r");
+
+}
diff --git a/src/Startup.c b/src/Startup.c
new file mode 100644
index 0000000..599711c
--- /dev/null
+++ b/src/Startup.c
@@ -0,0 +1,10 @@
+/* File produced by Kranc */
+
+#include "cctk.h"
+
+int WeylScal4_Startup(void)
+{
+ const char * banner = "WeylScal4";
+ CCTK_RegisterBanner(banner);
+ return 0;
+}
diff --git a/src/make.code.defn b/src/make.code.defn
new file mode 100644
index 0000000..f6beaec
--- /dev/null
+++ b/src/make.code.defn
@@ -0,0 +1,3 @@
+# File produced by Kranc
+
+SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c psis_calc_2nd.c psis_calc_4th.c Boundaries.c
diff --git a/src/psis_calc_2nd.c b/src/psis_calc_2nd.c
new file mode 100644
index 0000000..861a1c4
--- /dev/null
+++ b/src/psis_calc_2nd.c
@@ -0,0 +1,1260 @@
+/* File produced by Kranc */
+
+#define KRANC_C
+
+#include <assert.h>
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+#include "GenericFD.h"
+#include "Differencing.h"
+
+/* Define macros used in calculations */
+#define INITVALUE (42)
+#define INV(x) ((1.0) / (x))
+#define SQR(x) ((x) * (x))
+#define CUB(x) ((x) * (x) * (x))
+#define QAD(x) ((x) * (x) * (x) * (x))
+
+void psis_calc_2nd_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[])
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+
+ /* Declare the variables used for looping over grid points */
+ CCTK_INT i = INITVALUE, j = INITVALUE, k = INITVALUE;
+ CCTK_INT index = INITVALUE;
+ CCTK_INT subblock_index = INITVALUE;
+
+ /* Declare finite differencing variables */
+ CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE;
+ CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE;
+ CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE;
+ CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE;
+
+
+ /* Declare predefined quantities */
+ CCTK_REAL p1o12dx = INITVALUE;
+ CCTK_REAL p1o12dy = INITVALUE;
+ CCTK_REAL p1o12dz = INITVALUE;
+ CCTK_REAL p1o144dxdy = INITVALUE;
+ CCTK_REAL p1o144dxdz = INITVALUE;
+ CCTK_REAL p1o144dydz = INITVALUE;
+ CCTK_REAL p1o2dx = INITVALUE;
+ CCTK_REAL p1o2dy = INITVALUE;
+ CCTK_REAL p1o2dz = INITVALUE;
+ CCTK_REAL p1o4dxdy = INITVALUE;
+ CCTK_REAL p1o4dxdz = INITVALUE;
+ CCTK_REAL p1o4dydz = INITVALUE;
+ CCTK_REAL p1odx = INITVALUE;
+ CCTK_REAL p1odx2 = INITVALUE;
+ CCTK_REAL p1odxdy = INITVALUE;
+ CCTK_REAL p1odxdz = INITVALUE;
+ CCTK_REAL p1ody = INITVALUE;
+ CCTK_REAL p1ody2 = INITVALUE;
+ CCTK_REAL p1odydz = INITVALUE;
+ CCTK_REAL p1odz = INITVALUE;
+ CCTK_REAL p1odz2 = INITVALUE;
+ CCTK_REAL pm1o12dx2 = INITVALUE;
+ CCTK_REAL pm1o12dy2 = INITVALUE;
+ CCTK_REAL pm1o12dz2 = INITVALUE;
+ CCTK_REAL pm1o2dx = INITVALUE;
+ CCTK_REAL pm1o2dy = INITVALUE;
+ CCTK_REAL pm1o2dz = INITVALUE;
+
+ if (verbose > 1)
+ {
+ CCTK_VInfo(CCTK_THORNSTRING,"Entering psis_calc_2nd_Body");
+ }
+
+ if (cctk_iteration % psis_calc_2nd_calc_every != psis_calc_2nd_calc_offset)
+ {
+ return;
+ }
+
+ /* Include user-supplied include files */
+
+ /* Initialise finite differencing variables */
+ dx = CCTK_DELTA_SPACE(0);
+ dy = CCTK_DELTA_SPACE(1);
+ dz = CCTK_DELTA_SPACE(2);
+ dxi = 1.0 / dx;
+ dyi = 1.0 / dy;
+ dzi = 1.0 / dz;
+ khalf = 0.5;
+ kthird = 1/3.0;
+ ktwothird = 2.0/3.0;
+ kfourthird = 4.0/3.0;
+ keightthird = 8.0/3.0;
+ hdxi = 0.5 * dxi;
+ hdyi = 0.5 * dyi;
+ hdzi = 0.5 * dzi;
+
+ /* Initialize predefined quantities */
+ p1o12dx = INV(dx)/12.;
+ p1o12dy = INV(dy)/12.;
+ p1o12dz = INV(dz)/12.;
+ p1o144dxdy = (INV(dx)*INV(dy))/144.;
+ p1o144dxdz = (INV(dx)*INV(dz))/144.;
+ p1o144dydz = (INV(dy)*INV(dz))/144.;
+ p1o2dx = khalf*INV(dx);
+ p1o2dy = khalf*INV(dy);
+ p1o2dz = khalf*INV(dz);
+ p1o4dxdy = (INV(dx)*INV(dy))/4.;
+ p1o4dxdz = (INV(dx)*INV(dz))/4.;
+ p1o4dydz = (INV(dy)*INV(dz))/4.;
+ p1odx = INV(dx);
+ p1odx2 = pow(dx,-2);
+ p1odxdy = INV(dx)*INV(dy);
+ p1odxdz = INV(dx)*INV(dz);
+ p1ody = INV(dy);
+ p1ody2 = pow(dy,-2);
+ p1odydz = INV(dy)*INV(dz);
+ p1odz = INV(dz);
+ p1odz2 = pow(dz,-2);
+ pm1o12dx2 = -pow(dx,-2)/12.;
+ pm1o12dy2 = -pow(dy,-2)/12.;
+ pm1o12dz2 = -pow(dz,-2)/12.;
+ pm1o2dx = -(khalf*INV(dx));
+ pm1o2dy = -(khalf*INV(dy));
+ pm1o2dz = -(khalf*INV(dz));
+
+ /* Loop over the grid points */
+ for (k = min[2]; k < max[2]; k++)
+ {
+ for (j = min[1]; j < max[1]; j++)
+ {
+ for (i = min[0]; i < max[0]; i++)
+ {
+ index = CCTK_GFINDEX3D(cctkGH,i,j,k) ;
+ subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])) ;
+
+ /* Declare shorthands */
+ CCTK_REAL detg = INITVALUE;
+ CCTK_REAL gamma111 = INITVALUE, gamma121 = INITVALUE, gamma122 = INITVALUE, gamma131 = INITVALUE, gamma132 = INITVALUE, gamma133 = INITVALUE;
+ CCTK_REAL gamma211 = INITVALUE, gamma221 = INITVALUE, gamma222 = INITVALUE, gamma231 = INITVALUE, gamma232 = INITVALUE, gamma233 = INITVALUE;
+ CCTK_REAL gamma311 = INITVALUE, gamma321 = INITVALUE, gamma322 = INITVALUE, gamma331 = INITVALUE, gamma332 = INITVALUE, gamma333 = INITVALUE;
+ CCTK_REAL gInv11 = INITVALUE, gInv12 = INITVALUE, gInv13 = INITVALUE, gInv21 = INITVALUE, gInv22 = INITVALUE, gInv23 = INITVALUE;
+ CCTK_REAL gInv31 = INITVALUE, gInv32 = INITVALUE, gInv33 = INITVALUE;
+ CCTK_REAL im1 = INITVALUE, im2 = INITVALUE, im3 = INITVALUE;
+ CCTK_REAL imbar1 = INITVALUE, imbar2 = INITVALUE, imbar3 = INITVALUE;
+ CCTK_REAL invdetg = INITVALUE;
+ CCTK_REAL isqrt2 = INITVALUE;
+ CCTK_REAL n1 = INITVALUE, n2 = INITVALUE, n3 = INITVALUE;
+ CCTK_REAL nn = INITVALUE;
+ CCTK_REAL omega11 = INITVALUE, omega12 = INITVALUE, omega13 = INITVALUE, omega22 = INITVALUE, omega23 = INITVALUE, omega33 = INITVALUE;
+ CCTK_REAL R1111 = INITVALUE, R1112 = INITVALUE, R1113 = INITVALUE, R1121 = INITVALUE, R1122 = INITVALUE, R1123 = INITVALUE;
+ CCTK_REAL R1131 = INITVALUE, R1132 = INITVALUE, R1133 = INITVALUE, R1211 = INITVALUE, R1212 = INITVALUE, R1213 = INITVALUE;
+ CCTK_REAL R1221 = INITVALUE, R1222 = INITVALUE, R1223 = INITVALUE, R1231 = INITVALUE, R1232 = INITVALUE, R1233 = INITVALUE;
+ CCTK_REAL R1311 = INITVALUE, R1312 = INITVALUE, R1313 = INITVALUE, R1321 = INITVALUE, R1322 = INITVALUE, R1323 = INITVALUE;
+ CCTK_REAL R1331 = INITVALUE, R1332 = INITVALUE, R1333 = INITVALUE, R2111 = INITVALUE, R2112 = INITVALUE, R2113 = INITVALUE;
+ CCTK_REAL R2121 = INITVALUE, R2122 = INITVALUE, R2123 = INITVALUE, R2131 = INITVALUE, R2132 = INITVALUE, R2133 = INITVALUE;
+ CCTK_REAL R2211 = INITVALUE, R2212 = INITVALUE, R2213 = INITVALUE, R2221 = INITVALUE, R2222 = INITVALUE, R2223 = INITVALUE;
+ CCTK_REAL R2231 = INITVALUE, R2232 = INITVALUE, R2233 = INITVALUE, R2311 = INITVALUE, R2312 = INITVALUE, R2313 = INITVALUE;
+ CCTK_REAL R2321 = INITVALUE, R2322 = INITVALUE, R2323 = INITVALUE, R2331 = INITVALUE, R2332 = INITVALUE, R2333 = INITVALUE;
+ CCTK_REAL R3111 = INITVALUE, R3112 = INITVALUE, R3113 = INITVALUE, R3121 = INITVALUE, R3122 = INITVALUE, R3123 = INITVALUE;
+ CCTK_REAL R3131 = INITVALUE, R3132 = INITVALUE, R3133 = INITVALUE, R3211 = INITVALUE, R3212 = INITVALUE, R3213 = INITVALUE;
+ CCTK_REAL R3221 = INITVALUE, R3222 = INITVALUE, R3223 = INITVALUE, R3231 = INITVALUE, R3232 = INITVALUE, R3233 = INITVALUE;
+ CCTK_REAL R3311 = INITVALUE, R3312 = INITVALUE, R3313 = INITVALUE, R3321 = INITVALUE, R3322 = INITVALUE, R3323 = INITVALUE;
+ CCTK_REAL R3331 = INITVALUE, R3332 = INITVALUE, R3333 = INITVALUE;
+ CCTK_REAL R4p1111 = INITVALUE, R4p1112 = INITVALUE, R4p1113 = INITVALUE, R4p1121 = INITVALUE, R4p1122 = INITVALUE, R4p1123 = INITVALUE;
+ CCTK_REAL R4p1131 = INITVALUE, R4p1132 = INITVALUE, R4p1133 = INITVALUE, R4p1211 = INITVALUE, R4p1212 = INITVALUE, R4p1213 = INITVALUE;
+ CCTK_REAL R4p1221 = INITVALUE, R4p1222 = INITVALUE, R4p1223 = INITVALUE, R4p1231 = INITVALUE, R4p1232 = INITVALUE, R4p1233 = INITVALUE;
+ CCTK_REAL R4p1311 = INITVALUE, R4p1312 = INITVALUE, R4p1313 = INITVALUE, R4p1321 = INITVALUE, R4p1322 = INITVALUE, R4p1323 = INITVALUE;
+ CCTK_REAL R4p1331 = INITVALUE, R4p1332 = INITVALUE, R4p1333 = INITVALUE, R4p2111 = INITVALUE, R4p2112 = INITVALUE, R4p2113 = INITVALUE;
+ CCTK_REAL R4p2121 = INITVALUE, R4p2122 = INITVALUE, R4p2123 = INITVALUE, R4p2131 = INITVALUE, R4p2132 = INITVALUE, R4p2133 = INITVALUE;
+ CCTK_REAL R4p2211 = INITVALUE, R4p2212 = INITVALUE, R4p2213 = INITVALUE, R4p2221 = INITVALUE, R4p2222 = INITVALUE, R4p2223 = INITVALUE;
+ CCTK_REAL R4p2231 = INITVALUE, R4p2232 = INITVALUE, R4p2233 = INITVALUE, R4p2311 = INITVALUE, R4p2312 = INITVALUE, R4p2313 = INITVALUE;
+ CCTK_REAL R4p2321 = INITVALUE, R4p2322 = INITVALUE, R4p2323 = INITVALUE, R4p2331 = INITVALUE, R4p2332 = INITVALUE, R4p2333 = INITVALUE;
+ CCTK_REAL R4p3111 = INITVALUE, R4p3112 = INITVALUE, R4p3113 = INITVALUE, R4p3121 = INITVALUE, R4p3122 = INITVALUE, R4p3123 = INITVALUE;
+ CCTK_REAL R4p3131 = INITVALUE, R4p3132 = INITVALUE, R4p3133 = INITVALUE, R4p3211 = INITVALUE, R4p3212 = INITVALUE, R4p3213 = INITVALUE;
+ CCTK_REAL R4p3221 = INITVALUE, R4p3222 = INITVALUE, R4p3223 = INITVALUE, R4p3231 = INITVALUE, R4p3232 = INITVALUE, R4p3233 = INITVALUE;
+ CCTK_REAL R4p3311 = INITVALUE, R4p3312 = INITVALUE, R4p3313 = INITVALUE, R4p3321 = INITVALUE, R4p3322 = INITVALUE, R4p3323 = INITVALUE;
+ CCTK_REAL R4p3331 = INITVALUE, R4p3332 = INITVALUE, R4p3333 = INITVALUE;
+ CCTK_REAL rm1 = INITVALUE, rm2 = INITVALUE, rm3 = INITVALUE;
+ CCTK_REAL rmbar1 = INITVALUE, rmbar2 = INITVALUE, rmbar3 = INITVALUE;
+ CCTK_REAL Ro111 = INITVALUE, Ro112 = INITVALUE, Ro113 = INITVALUE, Ro121 = INITVALUE, Ro122 = INITVALUE, Ro123 = INITVALUE;
+ CCTK_REAL Ro131 = INITVALUE, Ro132 = INITVALUE, Ro133 = INITVALUE, Ro211 = INITVALUE, Ro212 = INITVALUE, Ro213 = INITVALUE;
+ CCTK_REAL Ro221 = INITVALUE, Ro222 = INITVALUE, Ro223 = INITVALUE, Ro231 = INITVALUE, Ro232 = INITVALUE, Ro233 = INITVALUE;
+ CCTK_REAL Ro311 = INITVALUE, Ro312 = INITVALUE, Ro313 = INITVALUE, Ro321 = INITVALUE, Ro322 = INITVALUE, Ro323 = INITVALUE;
+ CCTK_REAL Ro331 = INITVALUE, Ro332 = INITVALUE, Ro333 = INITVALUE;
+ CCTK_REAL Rojo11 = INITVALUE, Rojo12 = INITVALUE, Rojo13 = INITVALUE, Rojo21 = INITVALUE, Rojo22 = INITVALUE, Rojo23 = INITVALUE;
+ CCTK_REAL Rojo31 = INITVALUE, Rojo32 = INITVALUE, Rojo33 = INITVALUE;
+ CCTK_REAL va1 = INITVALUE, va2 = INITVALUE, va3 = INITVALUE;
+ CCTK_REAL vb1 = INITVALUE, vb2 = INITVALUE, vb3 = INITVALUE;
+ CCTK_REAL vc1 = INITVALUE, vc2 = INITVALUE, vc3 = INITVALUE;
+ CCTK_REAL xmoved = INITVALUE;
+ CCTK_REAL ymoved = INITVALUE;
+ CCTK_REAL zmoved = INITVALUE;
+
+ /* Declare local copies of grid functions */
+ CCTK_REAL gxxL = INITVALUE;
+ CCTK_REAL gxyL = INITVALUE;
+ CCTK_REAL gxzL = INITVALUE;
+ CCTK_REAL gyyL = INITVALUE;
+ CCTK_REAL gyzL = INITVALUE;
+ CCTK_REAL gzzL = INITVALUE;
+ CCTK_REAL kxxL = INITVALUE;
+ CCTK_REAL kxyL = INITVALUE;
+ CCTK_REAL kxzL = INITVALUE;
+ CCTK_REAL kyyL = INITVALUE;
+ CCTK_REAL kyzL = INITVALUE;
+ CCTK_REAL kzzL = INITVALUE;
+ CCTK_REAL Psi4iL = INITVALUE;
+ CCTK_REAL Psi4rL = INITVALUE;
+ CCTK_REAL xL = INITVALUE;
+ CCTK_REAL yL = INITVALUE;
+ CCTK_REAL zL = INITVALUE;
+ /* Declare precomputed derivatives*/
+
+ /* Declare derivatives */
+ CCTK_REAL PDstandard2nd1gxx = INITVALUE;
+ CCTK_REAL PDstandard2nd2gxx = INITVALUE;
+ CCTK_REAL PDstandard2nd3gxx = INITVALUE;
+ CCTK_REAL PDstandard2nd22gxx = INITVALUE;
+ CCTK_REAL PDstandard2nd33gxx = INITVALUE;
+ CCTK_REAL PDstandard2nd23gxx = INITVALUE;
+ CCTK_REAL PDstandard2nd1gxy = INITVALUE;
+ CCTK_REAL PDstandard2nd2gxy = INITVALUE;
+ CCTK_REAL PDstandard2nd3gxy = INITVALUE;
+ CCTK_REAL PDstandard2nd33gxy = INITVALUE;
+ CCTK_REAL PDstandard2nd12gxy = INITVALUE;
+ CCTK_REAL PDstandard2nd13gxy = INITVALUE;
+ CCTK_REAL PDstandard2nd23gxy = INITVALUE;
+ CCTK_REAL PDstandard2nd1gxz = INITVALUE;
+ CCTK_REAL PDstandard2nd2gxz = INITVALUE;
+ CCTK_REAL PDstandard2nd3gxz = INITVALUE;
+ CCTK_REAL PDstandard2nd22gxz = INITVALUE;
+ CCTK_REAL PDstandard2nd12gxz = INITVALUE;
+ CCTK_REAL PDstandard2nd13gxz = INITVALUE;
+ CCTK_REAL PDstandard2nd23gxz = INITVALUE;
+ CCTK_REAL PDstandard2nd1gyy = INITVALUE;
+ CCTK_REAL PDstandard2nd2gyy = INITVALUE;
+ CCTK_REAL PDstandard2nd3gyy = INITVALUE;
+ CCTK_REAL PDstandard2nd11gyy = INITVALUE;
+ CCTK_REAL PDstandard2nd33gyy = INITVALUE;
+ CCTK_REAL PDstandard2nd13gyy = INITVALUE;
+ CCTK_REAL PDstandard2nd1gyz = INITVALUE;
+ CCTK_REAL PDstandard2nd2gyz = INITVALUE;
+ CCTK_REAL PDstandard2nd3gyz = INITVALUE;
+ CCTK_REAL PDstandard2nd11gyz = INITVALUE;
+ CCTK_REAL PDstandard2nd12gyz = INITVALUE;
+ CCTK_REAL PDstandard2nd13gyz = INITVALUE;
+ CCTK_REAL PDstandard2nd23gyz = INITVALUE;
+ CCTK_REAL PDstandard2nd1gzz = INITVALUE;
+ CCTK_REAL PDstandard2nd2gzz = INITVALUE;
+ CCTK_REAL PDstandard2nd3gzz = INITVALUE;
+ CCTK_REAL PDstandard2nd11gzz = INITVALUE;
+ CCTK_REAL PDstandard2nd22gzz = INITVALUE;
+ CCTK_REAL PDstandard2nd12gzz = INITVALUE;
+ CCTK_REAL PDstandard2nd2kxx = INITVALUE;
+ CCTK_REAL PDstandard2nd3kxx = INITVALUE;
+ CCTK_REAL PDstandard2nd1kxy = INITVALUE;
+ CCTK_REAL PDstandard2nd2kxy = INITVALUE;
+ CCTK_REAL PDstandard2nd3kxy = INITVALUE;
+ CCTK_REAL PDstandard2nd1kxz = INITVALUE;
+ CCTK_REAL PDstandard2nd2kxz = INITVALUE;
+ CCTK_REAL PDstandard2nd3kxz = INITVALUE;
+ CCTK_REAL PDstandard2nd1kyy = INITVALUE;
+ CCTK_REAL PDstandard2nd3kyy = INITVALUE;
+ CCTK_REAL PDstandard2nd1kyz = INITVALUE;
+ CCTK_REAL PDstandard2nd2kyz = INITVALUE;
+ CCTK_REAL PDstandard2nd3kyz = INITVALUE;
+ CCTK_REAL PDstandard2nd1kzz = INITVALUE;
+ CCTK_REAL PDstandard2nd2kzz = INITVALUE;
+
+ /* Assign local copies of grid functions */
+ gxxL = gxx[index];
+ gxyL = gxy[index];
+ gxzL = gxz[index];
+ gyyL = gyy[index];
+ gyzL = gyz[index];
+ gzzL = gzz[index];
+ kxxL = kxx[index];
+ kxyL = kxy[index];
+ kxzL = kxz[index];
+ kyyL = kyy[index];
+ kyzL = kyz[index];
+ kzzL = kzz[index];
+ xL = x[index];
+ yL = y[index];
+ zL = z[index];
+
+ /* Assign local copies of subblock grid functions */
+
+ /* Include user supplied include files */
+
+ /* Precompute derivatives (new style) */
+ PDstandard2nd1gxx = PDstandard2nd1(gxx, i, j, k);
+ PDstandard2nd2gxx = PDstandard2nd2(gxx, i, j, k);
+ PDstandard2nd3gxx = PDstandard2nd3(gxx, i, j, k);
+ PDstandard2nd22gxx = PDstandard2nd22(gxx, i, j, k);
+ PDstandard2nd33gxx = PDstandard2nd33(gxx, i, j, k);
+ PDstandard2nd23gxx = PDstandard2nd23(gxx, i, j, k);
+ PDstandard2nd1gxy = PDstandard2nd1(gxy, i, j, k);
+ PDstandard2nd2gxy = PDstandard2nd2(gxy, i, j, k);
+ PDstandard2nd3gxy = PDstandard2nd3(gxy, i, j, k);
+ PDstandard2nd33gxy = PDstandard2nd33(gxy, i, j, k);
+ PDstandard2nd12gxy = PDstandard2nd12(gxy, i, j, k);
+ PDstandard2nd13gxy = PDstandard2nd13(gxy, i, j, k);
+ PDstandard2nd23gxy = PDstandard2nd23(gxy, i, j, k);
+ PDstandard2nd1gxz = PDstandard2nd1(gxz, i, j, k);
+ PDstandard2nd2gxz = PDstandard2nd2(gxz, i, j, k);
+ PDstandard2nd3gxz = PDstandard2nd3(gxz, i, j, k);
+ PDstandard2nd22gxz = PDstandard2nd22(gxz, i, j, k);
+ PDstandard2nd12gxz = PDstandard2nd12(gxz, i, j, k);
+ PDstandard2nd13gxz = PDstandard2nd13(gxz, i, j, k);
+ PDstandard2nd23gxz = PDstandard2nd23(gxz, i, j, k);
+ PDstandard2nd1gyy = PDstandard2nd1(gyy, i, j, k);
+ PDstandard2nd2gyy = PDstandard2nd2(gyy, i, j, k);
+ PDstandard2nd3gyy = PDstandard2nd3(gyy, i, j, k);
+ PDstandard2nd11gyy = PDstandard2nd11(gyy, i, j, k);
+ PDstandard2nd33gyy = PDstandard2nd33(gyy, i, j, k);
+ PDstandard2nd13gyy = PDstandard2nd13(gyy, i, j, k);
+ PDstandard2nd1gyz = PDstandard2nd1(gyz, i, j, k);
+ PDstandard2nd2gyz = PDstandard2nd2(gyz, i, j, k);
+ PDstandard2nd3gyz = PDstandard2nd3(gyz, i, j, k);
+ PDstandard2nd11gyz = PDstandard2nd11(gyz, i, j, k);
+ PDstandard2nd12gyz = PDstandard2nd12(gyz, i, j, k);
+ PDstandard2nd13gyz = PDstandard2nd13(gyz, i, j, k);
+ PDstandard2nd23gyz = PDstandard2nd23(gyz, i, j, k);
+ PDstandard2nd1gzz = PDstandard2nd1(gzz, i, j, k);
+ PDstandard2nd2gzz = PDstandard2nd2(gzz, i, j, k);
+ PDstandard2nd3gzz = PDstandard2nd3(gzz, i, j, k);
+ PDstandard2nd11gzz = PDstandard2nd11(gzz, i, j, k);
+ PDstandard2nd22gzz = PDstandard2nd22(gzz, i, j, k);
+ PDstandard2nd12gzz = PDstandard2nd12(gzz, i, j, k);
+ PDstandard2nd2kxx = PDstandard2nd2(kxx, i, j, k);
+ PDstandard2nd3kxx = PDstandard2nd3(kxx, i, j, k);
+ PDstandard2nd1kxy = PDstandard2nd1(kxy, i, j, k);
+ PDstandard2nd2kxy = PDstandard2nd2(kxy, i, j, k);
+ PDstandard2nd3kxy = PDstandard2nd3(kxy, i, j, k);
+ PDstandard2nd1kxz = PDstandard2nd1(kxz, i, j, k);
+ PDstandard2nd2kxz = PDstandard2nd2(kxz, i, j, k);
+ PDstandard2nd3kxz = PDstandard2nd3(kxz, i, j, k);
+ PDstandard2nd1kyy = PDstandard2nd1(kyy, i, j, k);
+ PDstandard2nd3kyy = PDstandard2nd3(kyy, i, j, k);
+ PDstandard2nd1kyz = PDstandard2nd1(kyz, i, j, k);
+ PDstandard2nd2kyz = PDstandard2nd2(kyz, i, j, k);
+ PDstandard2nd3kyz = PDstandard2nd3(kyz, i, j, k);
+ PDstandard2nd1kzz = PDstandard2nd1(kzz, i, j, k);
+ PDstandard2nd2kzz = PDstandard2nd2(kzz, i, j, k);
+
+ /* Precompute derivatives (old style) */
+
+ /* Calculate temporaries and grid functions */
+ detg = 2*gxyL*gxzL*gyzL + gzzL*(gxxL*gyyL - SQR(gxyL)) - gyyL*SQR(gxzL) - gxxL*SQR(gyzL);
+
+ invdetg = INV(detg);
+
+ gInv11 = invdetg*(gyyL*gzzL - SQR(gyzL));
+
+ gInv12 = (gxzL*gyzL - gxyL*gzzL)*invdetg;
+
+ gInv13 = (-(gxzL*gyyL) + gxyL*gyzL)*invdetg;
+
+ gInv21 = (gxzL*gyzL - gxyL*gzzL)*invdetg;
+
+ gInv22 = invdetg*(gxxL*gzzL - SQR(gxzL));
+
+ gInv23 = (gxyL*gxzL - gxxL*gyzL)*invdetg;
+
+ gInv31 = (-(gxzL*gyyL) + gxyL*gyzL)*invdetg;
+
+ gInv32 = (gxyL*gxzL - gxxL*gyzL)*invdetg;
+
+ gInv33 = invdetg*(gxxL*gyyL - SQR(gxyL));
+
+ gamma111 = khalf*(gInv11*PDstandard2nd1gxx + 2*(gInv12*PDstandard2nd1gxy + gInv13*PDstandard2nd1gxz) -
+ gInv12*PDstandard2nd2gxx - gInv13*PDstandard2nd3gxx);
+
+ gamma211 = khalf*(gInv21*PDstandard2nd1gxx + 2*(gInv22*PDstandard2nd1gxy + gInv23*PDstandard2nd1gxz) -
+ gInv22*PDstandard2nd2gxx - gInv23*PDstandard2nd3gxx);
+
+ gamma311 = khalf*(gInv31*PDstandard2nd1gxx + 2*(gInv32*PDstandard2nd1gxy + gInv33*PDstandard2nd1gxz) -
+ gInv32*PDstandard2nd2gxx - gInv33*PDstandard2nd3gxx);
+
+ gamma121 = khalf*(gInv12*PDstandard2nd1gyy + gInv11*PDstandard2nd2gxx +
+ gInv13*(PDstandard2nd1gyz + PDstandard2nd2gxz - PDstandard2nd3gxy));
+
+ gamma221 = khalf*(gInv22*PDstandard2nd1gyy + gInv21*PDstandard2nd2gxx +
+ gInv23*(PDstandard2nd1gyz + PDstandard2nd2gxz - PDstandard2nd3gxy));
+
+ gamma321 = khalf*(gInv32*PDstandard2nd1gyy + gInv31*PDstandard2nd2gxx +
+ gInv33*(PDstandard2nd1gyz + PDstandard2nd2gxz - PDstandard2nd3gxy));
+
+ gamma131 = khalf*(gInv13*PDstandard2nd1gzz + gInv11*PDstandard2nd3gxx +
+ gInv12*(PDstandard2nd1gyz - PDstandard2nd2gxz + PDstandard2nd3gxy));
+
+ gamma231 = khalf*(gInv23*PDstandard2nd1gzz + gInv21*PDstandard2nd3gxx +
+ gInv22*(PDstandard2nd1gyz - PDstandard2nd2gxz + PDstandard2nd3gxy));
+
+ gamma331 = khalf*(gInv33*PDstandard2nd1gzz + gInv31*PDstandard2nd3gxx +
+ gInv32*(PDstandard2nd1gyz - PDstandard2nd2gxz + PDstandard2nd3gxy));
+
+ gamma122 = khalf*(gInv11*(-PDstandard2nd1gyy + 2*PDstandard2nd2gxy) + gInv12*PDstandard2nd2gyy +
+ gInv13*(2*PDstandard2nd2gyz - PDstandard2nd3gyy));
+
+ gamma222 = khalf*(gInv21*(-PDstandard2nd1gyy + 2*PDstandard2nd2gxy) + gInv22*PDstandard2nd2gyy +
+ gInv23*(2*PDstandard2nd2gyz - PDstandard2nd3gyy));
+
+ gamma322 = khalf*(gInv31*(-PDstandard2nd1gyy + 2*PDstandard2nd2gxy) + gInv32*PDstandard2nd2gyy +
+ gInv33*(2*PDstandard2nd2gyz - PDstandard2nd3gyy));
+
+ gamma132 = khalf*(gInv13*PDstandard2nd2gzz + gInv11*(-PDstandard2nd1gyz + PDstandard2nd2gxz + PDstandard2nd3gxy) +
+ gInv12*PDstandard2nd3gyy);
+
+ gamma232 = khalf*(gInv23*PDstandard2nd2gzz + gInv21*(-PDstandard2nd1gyz + PDstandard2nd2gxz + PDstandard2nd3gxy) +
+ gInv22*PDstandard2nd3gyy);
+
+ gamma332 = khalf*(gInv33*PDstandard2nd2gzz + gInv31*(-PDstandard2nd1gyz + PDstandard2nd2gxz + PDstandard2nd3gxy) +
+ gInv32*PDstandard2nd3gyy);
+
+ gamma133 = khalf*(-(gInv11*PDstandard2nd1gzz) - gInv12*PDstandard2nd2gzz + 2*gInv11*PDstandard2nd3gxz +
+ 2*gInv12*PDstandard2nd3gyz + gInv13*PDstandard2nd3gzz);
+
+ gamma233 = khalf*(-(gInv21*PDstandard2nd1gzz) - gInv22*PDstandard2nd2gzz + 2*gInv21*PDstandard2nd3gxz +
+ 2*gInv22*PDstandard2nd3gyz + gInv23*PDstandard2nd3gzz);
+
+ gamma333 = khalf*(-(gInv31*PDstandard2nd1gzz) - gInv32*PDstandard2nd2gzz + 2*gInv31*PDstandard2nd3gxz +
+ 2*gInv32*PDstandard2nd3gyz + gInv33*PDstandard2nd3gzz);
+
+ xmoved = xL - xorig;
+
+ ymoved = yL - yorig;
+
+ zmoved = zL - zorig;
+
+ va1 = -ymoved;
+
+ va2 = offset + xmoved;
+
+ va3 = 0;
+
+ vb1 = offset + xmoved;
+
+ vb2 = ymoved;
+
+ vb3 = zmoved;
+
+ vc1 = ((-(gInv13*va2) + gInv12*va3)*vb1 + (gInv13*va1 - gInv11*va3)*vb2 + (-(gInv12*va1) + gInv11*va2)*vb3)*
+ pow(detg,0.5);
+
+ vc2 = ((-(gInv23*va2) + gInv22*va3)*vb1 + (gInv23*va1 - gInv21*va3)*vb2 + (-(gInv22*va1) + gInv21*va2)*vb3)*
+ pow(detg,0.5);
+
+ vc3 = ((-(gInv33*va2) + gInv32*va3)*vb1 + (gInv33*va1 - gInv31*va3)*vb2 + (-(gInv32*va1) + gInv31*va2)*vb3)*
+ pow(detg,0.5);
+
+ omega11 = 2*(gyzL*va2*va3 + va1*(gxyL*va2 + gxzL*va3)) + gxxL*SQR(va1) + gyyL*SQR(va2) + gzzL*SQR(va3);
+
+ va1 = va1*pow(omega11,-khalf);
+
+ va2 = va2*pow(omega11,-khalf);
+
+ va3 = va3*pow(omega11,-khalf);
+
+ omega12 = (gxxL*va1 + gxyL*va2 + gxzL*va3)*vb1 + (gxyL*va1 + gyyL*va2 + gyzL*va3)*vb2 +
+ (gxzL*va1 + gyzL*va2 + gzzL*va3)*vb3;
+
+ vb1 = -(omega12*va1) + vb1;
+
+ vb2 = -(omega12*va2) + vb2;
+
+ vb3 = -(omega12*va3) + vb3;
+
+ omega22 = 2*(gyzL*vb2*vb3 + vb1*(gxyL*vb2 + gxzL*vb3)) + gxxL*SQR(vb1) + gyyL*SQR(vb2) + gzzL*SQR(vb3);
+
+ vb1 = vb1*pow(omega22,-khalf);
+
+ vb2 = vb2*pow(omega22,-khalf);
+
+ vb3 = vb3*pow(omega22,-khalf);
+
+ omega13 = (gxxL*va1 + gxyL*va2 + gxzL*va3)*vc1 + (gxyL*va1 + gyyL*va2 + gyzL*va3)*vc2 +
+ (gxzL*va1 + gyzL*va2 + gzzL*va3)*vc3;
+
+ omega23 = (gxxL*vb1 + gxyL*vb2 + gxzL*vb3)*vc1 + (gxyL*vb1 + gyyL*vb2 + gyzL*vb3)*vc2 +
+ (gxzL*vb1 + gyzL*vb2 + gzzL*vb3)*vc3;
+
+ vc1 = -(omega13*va1) - omega23*vb1 + vc1;
+
+ vc2 = -(omega13*va2) - omega23*vb2 + vc2;
+
+ vc3 = -(omega13*va3) - omega23*vb3 + vc3;
+
+ omega33 = 2*(gyzL*vc2*vc3 + vc1*(gxyL*vc2 + gxzL*vc3)) + gxxL*SQR(vc1) + gyyL*SQR(vc2) + gzzL*SQR(vc3);
+
+ vc1 = vc1*pow(omega33,-khalf);
+
+ vc2 = vc2*pow(omega33,-khalf);
+
+ vc3 = vc3*pow(omega33,-khalf);
+
+ isqrt2 = 0.707106781186547524;
+
+ n1 = -(isqrt2*vb1);
+
+ n2 = -(isqrt2*vb2);
+
+ n3 = -(isqrt2*vb3);
+
+ rm1 = isqrt2*vc1;
+
+ rm2 = isqrt2*vc2;
+
+ rm3 = isqrt2*vc3;
+
+ im1 = isqrt2*va1;
+
+ im2 = isqrt2*va2;
+
+ im3 = isqrt2*va3;
+
+ rmbar1 = isqrt2*vc1;
+
+ rmbar2 = isqrt2*vc2;
+
+ rmbar3 = isqrt2*vc3;
+
+ imbar1 = -(isqrt2*va1);
+
+ imbar2 = -(isqrt2*va2);
+
+ imbar3 = -(isqrt2*va3);
+
+ nn = isqrt2;
+
+ R1111 = 0;
+
+ R1112 = 0;
+
+ R1113 = 0;
+
+ R1121 = 0;
+
+ R1122 = 0;
+
+ R1123 = 0;
+
+ R1131 = 0;
+
+ R1132 = 0;
+
+ R1133 = 0;
+
+ R1211 = 0;
+
+ R1212 = khalf*((4*gamma121*gamma221 - 2*gamma111*gamma222)*gxyL + (4*gamma121*gamma321 - 2*gamma111*gamma322)*gxzL +
+ (4*gamma221*gamma321 - 2*gamma211*gamma322)*gyzL -
+ 2*(gamma111*gamma122*gxxL + gamma122*gamma211*gxyL + gamma122*gamma311*gxzL + gamma211*gamma222*gyyL +
+ gamma222*gamma311*gyzL + gamma311*gamma322*gzzL) - PDstandard2nd11gyy + 2*PDstandard2nd12gxy -
+ PDstandard2nd22gxx + 2*gxxL*SQR(gamma121) + 2*gyyL*SQR(gamma221) + 2*gzzL*SQR(gamma321));
+
+ R1213 = (gamma121*gamma131 - gamma111*gamma132)*gxxL +
+ (-(gamma132*gamma211) + gamma131*gamma221 + gamma121*gamma231 - gamma111*gamma232)*gxyL +
+ (-(gamma132*gamma311) + gamma131*gamma321 + gamma121*gamma331 - gamma111*gamma332)*gxzL +
+ (gamma221*gamma231 - gamma211*gamma232)*gyyL +
+ (-(gamma232*gamma311) + gamma231*gamma321 + gamma221*gamma331 - gamma211*gamma332)*gyzL +
+ (gamma321*gamma331 - gamma311*gamma332)*gzzL +
+ khalf*(-PDstandard2nd11gyz + PDstandard2nd12gxz + PDstandard2nd13gxy - PDstandard2nd23gxx);
+
+ R1221 = (-2*gamma121*gamma221 + gamma111*gamma222)*gxyL + (-2*gamma121*gamma321 + gamma111*gamma322)*gxzL +
+ gamma122*(gamma111*gxxL + gamma211*gxyL + gamma311*gxzL) + (-2*gamma221*gamma321 + gamma211*gamma322)*gyzL +
+ gamma222*(gamma211*gyyL + gamma311*gyzL) - PDstandard2nd12gxy + khalf*(PDstandard2nd11gyy + PDstandard2nd22gxx) -
+ gxxL*SQR(gamma121) - gyyL*SQR(gamma221) + gzzL*(gamma311*gamma322 - SQR(gamma321));
+
+ R1222 = 0;
+
+ R1223 = (gamma122*gamma131 - gamma121*gamma132)*gxxL +
+ (-(gamma132*gamma221) + gamma131*gamma222 + gamma122*gamma231 - gamma121*gamma232)*gxyL +
+ (-(gamma132*gamma321) + gamma131*gamma322 + gamma122*gamma331 - gamma121*gamma332)*gxzL +
+ (gamma222*gamma231 - gamma221*gamma232)*gyyL +
+ (-(gamma232*gamma321) + gamma231*gamma322 + gamma222*gamma331 - gamma221*gamma332)*gyzL +
+ (gamma322*gamma331 - gamma321*gamma332)*gzzL +
+ khalf*(-PDstandard2nd12gyz + PDstandard2nd13gyy + PDstandard2nd22gxz - PDstandard2nd23gxy);
+
+ R1231 = (-(gamma121*gamma131) + gamma111*gamma132)*gxxL +
+ (gamma132*gamma211 - gamma131*gamma221 - gamma121*gamma231 + gamma111*gamma232)*gxyL +
+ (gamma132*gamma311 - gamma131*gamma321 - gamma121*gamma331 + gamma111*gamma332)*gxzL +
+ (-(gamma221*gamma231) + gamma211*gamma232)*gyyL +
+ (gamma232*gamma311 - gamma231*gamma321 - gamma221*gamma331 + gamma211*gamma332)*gyzL +
+ (-(gamma321*gamma331) + gamma311*gamma332)*gzzL +
+ khalf*(PDstandard2nd11gyz - PDstandard2nd12gxz - PDstandard2nd13gxy + PDstandard2nd23gxx);
+
+ R1232 = (-(gamma122*gamma131) + gamma121*gamma132)*gxxL +
+ (gamma132*gamma221 - gamma131*gamma222 - gamma122*gamma231 + gamma121*gamma232)*gxyL +
+ (gamma132*gamma321 - gamma131*gamma322 - gamma122*gamma331 + gamma121*gamma332)*gxzL +
+ (-(gamma222*gamma231) + gamma221*gamma232)*gyyL +
+ (gamma232*gamma321 - gamma231*gamma322 - gamma222*gamma331 + gamma221*gamma332)*gyzL +
+ (-(gamma322*gamma331) + gamma321*gamma332)*gzzL +
+ khalf*(PDstandard2nd12gyz - PDstandard2nd13gyy - PDstandard2nd22gxz + PDstandard2nd23gxy);
+
+ R1233 = 0;
+
+ R1311 = 0;
+
+ R1312 = (gamma121*gamma131 - gamma111*gamma132)*gxxL +
+ (-(gamma132*gamma211) + gamma131*gamma221 + gamma121*gamma231 - gamma111*gamma232)*gxyL +
+ (-(gamma132*gamma311) + gamma131*gamma321 + gamma121*gamma331 - gamma111*gamma332)*gxzL +
+ (gamma221*gamma231 - gamma211*gamma232)*gyyL +
+ (-(gamma232*gamma311) + gamma231*gamma321 + gamma221*gamma331 - gamma211*gamma332)*gyzL +
+ (gamma321*gamma331 - gamma311*gamma332)*gzzL +
+ khalf*(-PDstandard2nd11gyz + PDstandard2nd12gxz + PDstandard2nd13gxy - PDstandard2nd23gxx);
+
+ R1313 = khalf*((4*gamma131*gamma231 - 2*gamma111*gamma233)*gxyL + (4*gamma131*gamma331 - 2*gamma111*gamma333)*gxzL +
+ (4*gamma231*gamma331 - 2*gamma211*gamma333)*gyzL -
+ 2*(gamma111*gamma133*gxxL + gamma133*gamma211*gxyL + gamma133*gamma311*gxzL + gamma211*gamma233*gyyL +
+ gamma233*gamma311*gyzL + gamma311*gamma333*gzzL) - PDstandard2nd11gzz + 2*PDstandard2nd13gxz -
+ PDstandard2nd33gxx + 2*gxxL*SQR(gamma131) + 2*gyyL*SQR(gamma231) + 2*gzzL*SQR(gamma331));
+
+ R1321 = (-(gamma121*gamma131) + gamma111*gamma132)*gxxL +
+ (gamma132*gamma211 - gamma131*gamma221 - gamma121*gamma231 + gamma111*gamma232)*gxyL +
+ (gamma132*gamma311 - gamma131*gamma321 - gamma121*gamma331 + gamma111*gamma332)*gxzL +
+ (-(gamma221*gamma231) + gamma211*gamma232)*gyyL +
+ (gamma232*gamma311 - gamma231*gamma321 - gamma221*gamma331 + gamma211*gamma332)*gyzL +
+ (-(gamma321*gamma331) + gamma311*gamma332)*gzzL +
+ khalf*(PDstandard2nd11gyz - PDstandard2nd12gxz - PDstandard2nd13gxy + PDstandard2nd23gxx);
+
+ R1322 = 0;
+
+ R1323 = (gamma131*gamma132 - gamma121*gamma133)*gxxL +
+ (-(gamma133*gamma221) + gamma132*gamma231 + gamma131*gamma232 - gamma121*gamma233)*gxyL +
+ (-(gamma133*gamma321) + gamma132*gamma331 + gamma131*gamma332 - gamma121*gamma333)*gxzL +
+ (gamma231*gamma232 - gamma221*gamma233)*gyyL +
+ (-(gamma233*gamma321) + gamma232*gamma331 + gamma231*gamma332 - gamma221*gamma333)*gyzL +
+ (gamma331*gamma332 - gamma321*gamma333)*gzzL +
+ khalf*(-PDstandard2nd12gzz + PDstandard2nd13gyz + PDstandard2nd23gxz - PDstandard2nd33gxy);
+
+ R1331 = (-2*gamma131*gamma231 + gamma111*gamma233)*gxyL + (-2*gamma131*gamma331 + gamma111*gamma333)*gxzL +
+ gamma133*(gamma111*gxxL + gamma211*gxyL + gamma311*gxzL) + (-2*gamma231*gamma331 + gamma211*gamma333)*gyzL +
+ gamma233*(gamma211*gyyL + gamma311*gyzL) - PDstandard2nd13gxz + khalf*(PDstandard2nd11gzz + PDstandard2nd33gxx) -
+ gxxL*SQR(gamma131) - gyyL*SQR(gamma231) + gzzL*(gamma311*gamma333 - SQR(gamma331));
+
+ R1332 = (-(gamma131*gamma132) + gamma121*gamma133)*gxxL +
+ (gamma133*gamma221 - gamma132*gamma231 - gamma131*gamma232 + gamma121*gamma233)*gxyL +
+ (gamma133*gamma321 - gamma132*gamma331 - gamma131*gamma332 + gamma121*gamma333)*gxzL +
+ (-(gamma231*gamma232) + gamma221*gamma233)*gyyL +
+ (gamma233*gamma321 - gamma232*gamma331 - gamma231*gamma332 + gamma221*gamma333)*gyzL +
+ (-(gamma331*gamma332) + gamma321*gamma333)*gzzL +
+ khalf*(PDstandard2nd12gzz - PDstandard2nd13gyz - PDstandard2nd23gxz + PDstandard2nd33gxy);
+
+ R1333 = 0;
+
+ R2111 = 0;
+
+ R2112 = (-2*gamma121*gamma221 + gamma111*gamma222)*gxyL + (-2*gamma121*gamma321 + gamma111*gamma322)*gxzL +
+ gamma122*(gamma111*gxxL + gamma211*gxyL + gamma311*gxzL) + (-2*gamma221*gamma321 + gamma211*gamma322)*gyzL +
+ gamma222*(gamma211*gyyL + gamma311*gyzL) - PDstandard2nd12gxy + khalf*(PDstandard2nd11gyy + PDstandard2nd22gxx) -
+ gxxL*SQR(gamma121) - gyyL*SQR(gamma221) + gzzL*(gamma311*gamma322 - SQR(gamma321));
+
+ R2113 = (-(gamma121*gamma131) + gamma111*gamma132)*gxxL +
+ (gamma132*gamma211 - gamma131*gamma221 - gamma121*gamma231 + gamma111*gamma232)*gxyL +
+ (gamma132*gamma311 - gamma131*gamma321 - gamma121*gamma331 + gamma111*gamma332)*gxzL +
+ (-(gamma221*gamma231) + gamma211*gamma232)*gyyL +
+ (gamma232*gamma311 - gamma231*gamma321 - gamma221*gamma331 + gamma211*gamma332)*gyzL +
+ (-(gamma321*gamma331) + gamma311*gamma332)*gzzL +
+ khalf*(PDstandard2nd11gyz - PDstandard2nd12gxz - PDstandard2nd13gxy + PDstandard2nd23gxx);
+
+ R2121 = khalf*((4*gamma121*gamma221 - 2*gamma111*gamma222)*gxyL + (4*gamma121*gamma321 - 2*gamma111*gamma322)*gxzL +
+ (4*gamma221*gamma321 - 2*gamma211*gamma322)*gyzL -
+ 2*(gamma111*gamma122*gxxL + gamma122*gamma211*gxyL + gamma122*gamma311*gxzL + gamma211*gamma222*gyyL +
+ gamma222*gamma311*gyzL + gamma311*gamma322*gzzL) - PDstandard2nd11gyy + 2*PDstandard2nd12gxy -
+ PDstandard2nd22gxx + 2*gxxL*SQR(gamma121) + 2*gyyL*SQR(gamma221) + 2*gzzL*SQR(gamma321));
+
+ R2122 = 0;
+
+ R2123 = (-(gamma122*gamma131) + gamma121*gamma132)*gxxL +
+ (gamma132*gamma221 - gamma131*gamma222 - gamma122*gamma231 + gamma121*gamma232)*gxyL +
+ (gamma132*gamma321 - gamma131*gamma322 - gamma122*gamma331 + gamma121*gamma332)*gxzL +
+ (-(gamma222*gamma231) + gamma221*gamma232)*gyyL +
+ (gamma232*gamma321 - gamma231*gamma322 - gamma222*gamma331 + gamma221*gamma332)*gyzL +
+ (-(gamma322*gamma331) + gamma321*gamma332)*gzzL +
+ khalf*(PDstandard2nd12gyz - PDstandard2nd13gyy - PDstandard2nd22gxz + PDstandard2nd23gxy);
+
+ R2131 = (gamma121*gamma131 - gamma111*gamma132)*gxxL +
+ (-(gamma132*gamma211) + gamma131*gamma221 + gamma121*gamma231 - gamma111*gamma232)*gxyL +
+ (-(gamma132*gamma311) + gamma131*gamma321 + gamma121*gamma331 - gamma111*gamma332)*gxzL +
+ (gamma221*gamma231 - gamma211*gamma232)*gyyL +
+ (-(gamma232*gamma311) + gamma231*gamma321 + gamma221*gamma331 - gamma211*gamma332)*gyzL +
+ (gamma321*gamma331 - gamma311*gamma332)*gzzL +
+ khalf*(-PDstandard2nd11gyz + PDstandard2nd12gxz + PDstandard2nd13gxy - PDstandard2nd23gxx);
+
+ R2132 = (gamma122*gamma131 - gamma121*gamma132)*gxxL +
+ (-(gamma132*gamma221) + gamma131*gamma222 + gamma122*gamma231 - gamma121*gamma232)*gxyL +
+ (-(gamma132*gamma321) + gamma131*gamma322 + gamma122*gamma331 - gamma121*gamma332)*gxzL +
+ (gamma222*gamma231 - gamma221*gamma232)*gyyL +
+ (-(gamma232*gamma321) + gamma231*gamma322 + gamma222*gamma331 - gamma221*gamma332)*gyzL +
+ (gamma322*gamma331 - gamma321*gamma332)*gzzL +
+ khalf*(-PDstandard2nd12gyz + PDstandard2nd13gyy + PDstandard2nd22gxz - PDstandard2nd23gxy);
+
+ R2133 = 0;
+
+ R2211 = 0;
+
+ R2212 = 0;
+
+ R2213 = 0;
+
+ R2221 = 0;
+
+ R2222 = 0;
+
+ R2223 = 0;
+
+ R2231 = 0;
+
+ R2232 = 0;
+
+ R2233 = 0;
+
+ R2311 = 0;
+
+ R2312 = (gamma122*gamma131 - gamma121*gamma132)*gxxL +
+ (-(gamma132*gamma221) + gamma131*gamma222 + gamma122*gamma231 - gamma121*gamma232)*gxyL +
+ (-(gamma132*gamma321) + gamma131*gamma322 + gamma122*gamma331 - gamma121*gamma332)*gxzL +
+ (gamma222*gamma231 - gamma221*gamma232)*gyyL +
+ (-(gamma232*gamma321) + gamma231*gamma322 + gamma222*gamma331 - gamma221*gamma332)*gyzL +
+ (gamma322*gamma331 - gamma321*gamma332)*gzzL +
+ khalf*(-PDstandard2nd12gyz + PDstandard2nd13gyy + PDstandard2nd22gxz - PDstandard2nd23gxy);
+
+ R2313 = (gamma131*gamma132 - gamma121*gamma133)*gxxL +
+ (-(gamma133*gamma221) + gamma132*gamma231 + gamma131*gamma232 - gamma121*gamma233)*gxyL +
+ (-(gamma133*gamma321) + gamma132*gamma331 + gamma131*gamma332 - gamma121*gamma333)*gxzL +
+ (gamma231*gamma232 - gamma221*gamma233)*gyyL +
+ (-(gamma233*gamma321) + gamma232*gamma331 + gamma231*gamma332 - gamma221*gamma333)*gyzL +
+ (gamma331*gamma332 - gamma321*gamma333)*gzzL +
+ khalf*(-PDstandard2nd12gzz + PDstandard2nd13gyz + PDstandard2nd23gxz - PDstandard2nd33gxy);
+
+ R2321 = (-(gamma122*gamma131) + gamma121*gamma132)*gxxL +
+ (gamma132*gamma221 - gamma131*gamma222 - gamma122*gamma231 + gamma121*gamma232)*gxyL +
+ (gamma132*gamma321 - gamma131*gamma322 - gamma122*gamma331 + gamma121*gamma332)*gxzL +
+ (-(gamma222*gamma231) + gamma221*gamma232)*gyyL +
+ (gamma232*gamma321 - gamma231*gamma322 - gamma222*gamma331 + gamma221*gamma332)*gyzL +
+ (-(gamma322*gamma331) + gamma321*gamma332)*gzzL +
+ khalf*(PDstandard2nd12gyz - PDstandard2nd13gyy - PDstandard2nd22gxz + PDstandard2nd23gxy);
+
+ R2322 = 0;
+
+ R2323 = khalf*((4*gamma132*gamma232 - 2*gamma122*gamma233)*gxyL + (4*gamma132*gamma332 - 2*gamma122*gamma333)*gxzL +
+ (4*gamma232*gamma332 - 2*gamma222*gamma333)*gyzL -
+ 2*(gamma122*gamma133*gxxL + gamma133*gamma222*gxyL + gamma133*gamma322*gxzL + gamma222*gamma233*gyyL +
+ gamma233*gamma322*gyzL + gamma322*gamma333*gzzL) - PDstandard2nd22gzz + 2*PDstandard2nd23gyz -
+ PDstandard2nd33gyy + 2*gxxL*SQR(gamma132) + 2*gyyL*SQR(gamma232) + 2*gzzL*SQR(gamma332));
+
+ R2331 = (-(gamma131*gamma132) + gamma121*gamma133)*gxxL +
+ (gamma133*gamma221 - gamma132*gamma231 - gamma131*gamma232 + gamma121*gamma233)*gxyL +
+ (gamma133*gamma321 - gamma132*gamma331 - gamma131*gamma332 + gamma121*gamma333)*gxzL +
+ (-(gamma231*gamma232) + gamma221*gamma233)*gyyL +
+ (gamma233*gamma321 - gamma232*gamma331 - gamma231*gamma332 + gamma221*gamma333)*gyzL +
+ (-(gamma331*gamma332) + gamma321*gamma333)*gzzL +
+ khalf*(PDstandard2nd12gzz - PDstandard2nd13gyz - PDstandard2nd23gxz + PDstandard2nd33gxy);
+
+ R2332 = (-2*gamma132*gamma232 + gamma122*gamma233)*gxyL + (-2*gamma132*gamma332 + gamma122*gamma333)*gxzL +
+ gamma133*(gamma122*gxxL + gamma222*gxyL + gamma322*gxzL) + (-2*gamma232*gamma332 + gamma222*gamma333)*gyzL +
+ gamma233*(gamma222*gyyL + gamma322*gyzL) - PDstandard2nd23gyz + khalf*(PDstandard2nd22gzz + PDstandard2nd33gyy) -
+ gxxL*SQR(gamma132) - gyyL*SQR(gamma232) + gzzL*(gamma322*gamma333 - SQR(gamma332));
+
+ R2333 = 0;
+
+ R3111 = 0;
+
+ R3112 = (-(gamma121*gamma131) + gamma111*gamma132)*gxxL +
+ (gamma132*gamma211 - gamma131*gamma221 - gamma121*gamma231 + gamma111*gamma232)*gxyL +
+ (gamma132*gamma311 - gamma131*gamma321 - gamma121*gamma331 + gamma111*gamma332)*gxzL +
+ (-(gamma221*gamma231) + gamma211*gamma232)*gyyL +
+ (gamma232*gamma311 - gamma231*gamma321 - gamma221*gamma331 + gamma211*gamma332)*gyzL +
+ (-(gamma321*gamma331) + gamma311*gamma332)*gzzL +
+ khalf*(PDstandard2nd11gyz - PDstandard2nd12gxz - PDstandard2nd13gxy + PDstandard2nd23gxx);
+
+ R3113 = (-2*gamma131*gamma231 + gamma111*gamma233)*gxyL + (-2*gamma131*gamma331 + gamma111*gamma333)*gxzL +
+ gamma133*(gamma111*gxxL + gamma211*gxyL + gamma311*gxzL) + (-2*gamma231*gamma331 + gamma211*gamma333)*gyzL +
+ gamma233*(gamma211*gyyL + gamma311*gyzL) - PDstandard2nd13gxz + khalf*(PDstandard2nd11gzz + PDstandard2nd33gxx) -
+ gxxL*SQR(gamma131) - gyyL*SQR(gamma231) + gzzL*(gamma311*gamma333 - SQR(gamma331));
+
+ R3121 = (gamma121*gamma131 - gamma111*gamma132)*gxxL +
+ (-(gamma132*gamma211) + gamma131*gamma221 + gamma121*gamma231 - gamma111*gamma232)*gxyL +
+ (-(gamma132*gamma311) + gamma131*gamma321 + gamma121*gamma331 - gamma111*gamma332)*gxzL +
+ (gamma221*gamma231 - gamma211*gamma232)*gyyL +
+ (-(gamma232*gamma311) + gamma231*gamma321 + gamma221*gamma331 - gamma211*gamma332)*gyzL +
+ (gamma321*gamma331 - gamma311*gamma332)*gzzL +
+ khalf*(-PDstandard2nd11gyz + PDstandard2nd12gxz + PDstandard2nd13gxy - PDstandard2nd23gxx);
+
+ R3122 = 0;
+
+ R3123 = (-(gamma131*gamma132) + gamma121*gamma133)*gxxL +
+ (gamma133*gamma221 - gamma132*gamma231 - gamma131*gamma232 + gamma121*gamma233)*gxyL +
+ (gamma133*gamma321 - gamma132*gamma331 - gamma131*gamma332 + gamma121*gamma333)*gxzL +
+ (-(gamma231*gamma232) + gamma221*gamma233)*gyyL +
+ (gamma233*gamma321 - gamma232*gamma331 - gamma231*gamma332 + gamma221*gamma333)*gyzL +
+ (-(gamma331*gamma332) + gamma321*gamma333)*gzzL +
+ khalf*(PDstandard2nd12gzz - PDstandard2nd13gyz - PDstandard2nd23gxz + PDstandard2nd33gxy);
+
+ R3131 = khalf*((4*gamma131*gamma231 - 2*gamma111*gamma233)*gxyL + (4*gamma131*gamma331 - 2*gamma111*gamma333)*gxzL +
+ (4*gamma231*gamma331 - 2*gamma211*gamma333)*gyzL -
+ 2*(gamma111*gamma133*gxxL + gamma133*gamma211*gxyL + gamma133*gamma311*gxzL + gamma211*gamma233*gyyL +
+ gamma233*gamma311*gyzL + gamma311*gamma333*gzzL) - PDstandard2nd11gzz + 2*PDstandard2nd13gxz -
+ PDstandard2nd33gxx + 2*gxxL*SQR(gamma131) + 2*gyyL*SQR(gamma231) + 2*gzzL*SQR(gamma331));
+
+ R3132 = (gamma131*gamma132 - gamma121*gamma133)*gxxL +
+ (-(gamma133*gamma221) + gamma132*gamma231 + gamma131*gamma232 - gamma121*gamma233)*gxyL +
+ (-(gamma133*gamma321) + gamma132*gamma331 + gamma131*gamma332 - gamma121*gamma333)*gxzL +
+ (gamma231*gamma232 - gamma221*gamma233)*gyyL +
+ (-(gamma233*gamma321) + gamma232*gamma331 + gamma231*gamma332 - gamma221*gamma333)*gyzL +
+ (gamma331*gamma332 - gamma321*gamma333)*gzzL +
+ khalf*(-PDstandard2nd12gzz + PDstandard2nd13gyz + PDstandard2nd23gxz - PDstandard2nd33gxy);
+
+ R3133 = 0;
+
+ R3211 = 0;
+
+ R3212 = (-(gamma122*gamma131) + gamma121*gamma132)*gxxL +
+ (gamma132*gamma221 - gamma131*gamma222 - gamma122*gamma231 + gamma121*gamma232)*gxyL +
+ (gamma132*gamma321 - gamma131*gamma322 - gamma122*gamma331 + gamma121*gamma332)*gxzL +
+ (-(gamma222*gamma231) + gamma221*gamma232)*gyyL +
+ (gamma232*gamma321 - gamma231*gamma322 - gamma222*gamma331 + gamma221*gamma332)*gyzL +
+ (-(gamma322*gamma331) + gamma321*gamma332)*gzzL +
+ khalf*(PDstandard2nd12gyz - PDstandard2nd13gyy - PDstandard2nd22gxz + PDstandard2nd23gxy);
+
+ R3213 = (-(gamma131*gamma132) + gamma121*gamma133)*gxxL +
+ (gamma133*gamma221 - gamma132*gamma231 - gamma131*gamma232 + gamma121*gamma233)*gxyL +
+ (gamma133*gamma321 - gamma132*gamma331 - gamma131*gamma332 + gamma121*gamma333)*gxzL +
+ (-(gamma231*gamma232) + gamma221*gamma233)*gyyL +
+ (gamma233*gamma321 - gamma232*gamma331 - gamma231*gamma332 + gamma221*gamma333)*gyzL +
+ (-(gamma331*gamma332) + gamma321*gamma333)*gzzL +
+ khalf*(PDstandard2nd12gzz - PDstandard2nd13gyz - PDstandard2nd23gxz + PDstandard2nd33gxy);
+
+ R3221 = (gamma122*gamma131 - gamma121*gamma132)*gxxL +
+ (-(gamma132*gamma221) + gamma131*gamma222 + gamma122*gamma231 - gamma121*gamma232)*gxyL +
+ (-(gamma132*gamma321) + gamma131*gamma322 + gamma122*gamma331 - gamma121*gamma332)*gxzL +
+ (gamma222*gamma231 - gamma221*gamma232)*gyyL +
+ (-(gamma232*gamma321) + gamma231*gamma322 + gamma222*gamma331 - gamma221*gamma332)*gyzL +
+ (gamma322*gamma331 - gamma321*gamma332)*gzzL +
+ khalf*(-PDstandard2nd12gyz + PDstandard2nd13gyy + PDstandard2nd22gxz - PDstandard2nd23gxy);
+
+ R3222 = 0;
+
+ R3223 = (-2*gamma132*gamma232 + gamma122*gamma233)*gxyL + (-2*gamma132*gamma332 + gamma122*gamma333)*gxzL +
+ gamma133*(gamma122*gxxL + gamma222*gxyL + gamma322*gxzL) + (-2*gamma232*gamma332 + gamma222*gamma333)*gyzL +
+ gamma233*(gamma222*gyyL + gamma322*gyzL) - PDstandard2nd23gyz + khalf*(PDstandard2nd22gzz + PDstandard2nd33gyy) -
+ gxxL*SQR(gamma132) - gyyL*SQR(gamma232) + gzzL*(gamma322*gamma333 - SQR(gamma332));
+
+ R3231 = (gamma131*gamma132 - gamma121*gamma133)*gxxL +
+ (-(gamma133*gamma221) + gamma132*gamma231 + gamma131*gamma232 - gamma121*gamma233)*gxyL +
+ (-(gamma133*gamma321) + gamma132*gamma331 + gamma131*gamma332 - gamma121*gamma333)*gxzL +
+ (gamma231*gamma232 - gamma221*gamma233)*gyyL +
+ (-(gamma233*gamma321) + gamma232*gamma331 + gamma231*gamma332 - gamma221*gamma333)*gyzL +
+ (gamma331*gamma332 - gamma321*gamma333)*gzzL +
+ khalf*(-PDstandard2nd12gzz + PDstandard2nd13gyz + PDstandard2nd23gxz - PDstandard2nd33gxy);
+
+ R3232 = khalf*((4*gamma132*gamma232 - 2*gamma122*gamma233)*gxyL + (4*gamma132*gamma332 - 2*gamma122*gamma333)*gxzL +
+ (4*gamma232*gamma332 - 2*gamma222*gamma333)*gyzL -
+ 2*(gamma122*gamma133*gxxL + gamma133*gamma222*gxyL + gamma133*gamma322*gxzL + gamma222*gamma233*gyyL +
+ gamma233*gamma322*gyzL + gamma322*gamma333*gzzL) - PDstandard2nd22gzz + 2*PDstandard2nd23gyz -
+ PDstandard2nd33gyy + 2*gxxL*SQR(gamma132) + 2*gyyL*SQR(gamma232) + 2*gzzL*SQR(gamma332));
+
+ R3233 = 0;
+
+ R3311 = 0;
+
+ R3312 = 0;
+
+ R3313 = 0;
+
+ R3321 = 0;
+
+ R3322 = 0;
+
+ R3323 = 0;
+
+ R3331 = 0;
+
+ R3332 = 0;
+
+ R3333 = 0;
+
+ R4p1111 = R1111;
+
+ R4p1112 = R1112;
+
+ R4p1113 = R1113;
+
+ R4p1121 = R1121;
+
+ R4p1122 = R1122;
+
+ R4p1123 = R1123;
+
+ R4p1131 = R1131;
+
+ R4p1132 = R1132;
+
+ R4p1133 = R1133;
+
+ R4p1211 = R1211;
+
+ R4p1212 = kxxL*kyyL + R1212 - SQR(kxyL);
+
+ R4p1213 = -(kxyL*kxzL) + kxxL*kyzL + R1213;
+
+ R4p1221 = -(kxxL*kyyL) + R1221 + SQR(kxyL);
+
+ R4p1222 = R1222;
+
+ R4p1223 = -(kxzL*kyyL) + kxyL*kyzL + R1223;
+
+ R4p1231 = kxyL*kxzL - kxxL*kyzL + R1231;
+
+ R4p1232 = kxzL*kyyL - kxyL*kyzL + R1232;
+
+ R4p1233 = R1233;
+
+ R4p1311 = R1311;
+
+ R4p1312 = -(kxyL*kxzL) + kxxL*kyzL + R1312;
+
+ R4p1313 = kxxL*kzzL + R1313 - SQR(kxzL);
+
+ R4p1321 = kxyL*kxzL - kxxL*kyzL + R1321;
+
+ R4p1322 = R1322;
+
+ R4p1323 = -(kxzL*kyzL) + kxyL*kzzL + R1323;
+
+ R4p1331 = -(kxxL*kzzL) + R1331 + SQR(kxzL);
+
+ R4p1332 = kxzL*kyzL - kxyL*kzzL + R1332;
+
+ R4p1333 = R1333;
+
+ R4p2111 = R2111;
+
+ R4p2112 = -(kxxL*kyyL) + R2112 + SQR(kxyL);
+
+ R4p2113 = kxyL*kxzL - kxxL*kyzL + R2113;
+
+ R4p2121 = kxxL*kyyL + R2121 - SQR(kxyL);
+
+ R4p2122 = R2122;
+
+ R4p2123 = kxzL*kyyL - kxyL*kyzL + R2123;
+
+ R4p2131 = -(kxyL*kxzL) + kxxL*kyzL + R2131;
+
+ R4p2132 = -(kxzL*kyyL) + kxyL*kyzL + R2132;
+
+ R4p2133 = R2133;
+
+ R4p2211 = R2211;
+
+ R4p2212 = R2212;
+
+ R4p2213 = R2213;
+
+ R4p2221 = R2221;
+
+ R4p2222 = R2222;
+
+ R4p2223 = R2223;
+
+ R4p2231 = R2231;
+
+ R4p2232 = R2232;
+
+ R4p2233 = R2233;
+
+ R4p2311 = R2311;
+
+ R4p2312 = -(kxzL*kyyL) + kxyL*kyzL + R2312;
+
+ R4p2313 = -(kxzL*kyzL) + kxyL*kzzL + R2313;
+
+ R4p2321 = kxzL*kyyL - kxyL*kyzL + R2321;
+
+ R4p2322 = R2322;
+
+ R4p2323 = kyyL*kzzL + R2323 - SQR(kyzL);
+
+ R4p2331 = kxzL*kyzL - kxyL*kzzL + R2331;
+
+ R4p2332 = -(kyyL*kzzL) + R2332 + SQR(kyzL);
+
+ R4p2333 = R2333;
+
+ R4p3111 = R3111;
+
+ R4p3112 = kxyL*kxzL - kxxL*kyzL + R3112;
+
+ R4p3113 = -(kxxL*kzzL) + R3113 + SQR(kxzL);
+
+ R4p3121 = -(kxyL*kxzL) + kxxL*kyzL + R3121;
+
+ R4p3122 = R3122;
+
+ R4p3123 = kxzL*kyzL - kxyL*kzzL + R3123;
+
+ R4p3131 = kxxL*kzzL + R3131 - SQR(kxzL);
+
+ R4p3132 = -(kxzL*kyzL) + kxyL*kzzL + R3132;
+
+ R4p3133 = R3133;
+
+ R4p3211 = R3211;
+
+ R4p3212 = kxzL*kyyL - kxyL*kyzL + R3212;
+
+ R4p3213 = kxzL*kyzL - kxyL*kzzL + R3213;
+
+ R4p3221 = -(kxzL*kyyL) + kxyL*kyzL + R3221;
+
+ R4p3222 = R3222;
+
+ R4p3223 = -(kyyL*kzzL) + R3223 + SQR(kyzL);
+
+ R4p3231 = -(kxzL*kyzL) + kxyL*kzzL + R3231;
+
+ R4p3232 = kyyL*kzzL + R3232 - SQR(kyzL);
+
+ R4p3233 = R3233;
+
+ R4p3311 = R3311;
+
+ R4p3312 = R3312;
+
+ R4p3313 = R3313;
+
+ R4p3321 = R3321;
+
+ R4p3322 = R3322;
+
+ R4p3323 = R3323;
+
+ R4p3331 = R3331;
+
+ R4p3332 = R3332;
+
+ R4p3333 = R3333;
+
+ Ro111 = 0;
+
+ Ro112 = gamma121*kxxL + (-gamma111 + gamma221)*kxyL + gamma321*kxzL - gamma211*kyyL - gamma311*kyzL +
+ PDstandard2nd1kxy - PDstandard2nd2kxx;
+
+ Ro113 = gamma131*kxxL + gamma231*kxyL + (-gamma111 + gamma331)*kxzL - gamma211*kyzL - gamma311*kzzL +
+ PDstandard2nd1kxz - PDstandard2nd3kxx;
+
+ Ro121 = -(gamma121*kxxL) + gamma111*kxyL - gamma221*kxyL - gamma321*kxzL + gamma211*kyyL + gamma311*kyzL -
+ PDstandard2nd1kxy + PDstandard2nd2kxx;
+
+ Ro122 = 0;
+
+ Ro123 = gamma131*kxyL - gamma121*kxzL + gamma231*kyyL - gamma221*kyzL + gamma331*kyzL - gamma321*kzzL +
+ PDstandard2nd2kxz - PDstandard2nd3kxy;
+
+ Ro131 = -(gamma131*kxxL) - gamma231*kxyL + gamma111*kxzL - gamma331*kxzL + gamma211*kyzL + gamma311*kzzL -
+ PDstandard2nd1kxz + PDstandard2nd3kxx;
+
+ Ro132 = -(gamma131*kxyL) + gamma121*kxzL - gamma231*kyyL + gamma221*kyzL - gamma331*kyzL + gamma321*kzzL -
+ PDstandard2nd2kxz + PDstandard2nd3kxy;
+
+ Ro133 = 0;
+
+ Ro211 = 0;
+
+ Ro212 = gamma122*kxxL + (-gamma121 + gamma222)*kxyL + gamma322*kxzL - gamma221*kyyL - gamma321*kyzL +
+ PDstandard2nd1kyy - PDstandard2nd2kxy;
+
+ Ro213 = gamma132*kxxL + gamma232*kxyL + (-gamma121 + gamma332)*kxzL - gamma221*kyzL - gamma321*kzzL +
+ PDstandard2nd1kyz - PDstandard2nd3kxy;
+
+ Ro221 = -(gamma122*kxxL) + gamma121*kxyL - gamma222*kxyL - gamma322*kxzL + gamma221*kyyL + gamma321*kyzL -
+ PDstandard2nd1kyy + PDstandard2nd2kxy;
+
+ Ro222 = 0;
+
+ Ro223 = gamma132*kxyL - gamma122*kxzL + gamma232*kyyL - gamma222*kyzL + gamma332*kyzL - gamma322*kzzL +
+ PDstandard2nd2kyz - PDstandard2nd3kyy;
+
+ Ro231 = -(gamma132*kxxL) - gamma232*kxyL + gamma121*kxzL - gamma332*kxzL + gamma221*kyzL + gamma321*kzzL -
+ PDstandard2nd1kyz + PDstandard2nd3kxy;
+
+ Ro232 = -(gamma132*kxyL) + gamma122*kxzL - gamma232*kyyL + gamma222*kyzL - gamma332*kyzL + gamma322*kzzL -
+ PDstandard2nd2kyz + PDstandard2nd3kyy;
+
+ Ro233 = 0;
+
+ Ro311 = 0;
+
+ Ro312 = gamma132*kxxL + (-gamma131 + gamma232)*kxyL + gamma332*kxzL - gamma231*kyyL - gamma331*kyzL +
+ PDstandard2nd1kyz - PDstandard2nd2kxz;
+
+ Ro313 = gamma133*kxxL + gamma233*kxyL + (-gamma131 + gamma333)*kxzL - gamma231*kyzL - gamma331*kzzL +
+ PDstandard2nd1kzz - PDstandard2nd3kxz;
+
+ Ro321 = -(gamma132*kxxL) + gamma131*kxyL - gamma232*kxyL - gamma332*kxzL + gamma231*kyyL + gamma331*kyzL -
+ PDstandard2nd1kyz + PDstandard2nd2kxz;
+
+ Ro322 = 0;
+
+ Ro323 = gamma133*kxyL - gamma132*kxzL + gamma233*kyyL - gamma232*kyzL + gamma333*kyzL - gamma332*kzzL +
+ PDstandard2nd2kzz - PDstandard2nd3kyz;
+
+ Ro331 = -(gamma133*kxxL) - gamma233*kxyL + gamma131*kxzL - gamma333*kxzL + gamma231*kyzL + gamma331*kzzL -
+ PDstandard2nd1kzz + PDstandard2nd3kxz;
+
+ Ro332 = -(gamma133*kxyL) + gamma132*kxzL - gamma233*kyyL + gamma232*kyzL - gamma333*kyzL + gamma332*kzzL -
+ PDstandard2nd2kzz + PDstandard2nd3kyz;
+
+ Ro333 = 0;
+
+ Rojo11 = gInv11*R1111 + gInv12*R1112 + gInv13*R1113 + gInv21*R1211 + gInv23*(-(kxyL*kxzL) + kxxL*kyzL + R1213) +
+ gInv31*R1311 + gInv32*(-(kxyL*kxzL) + kxxL*kyzL + R1312) + gInv22*(kxxL*kyyL + R1212 - SQR(kxyL)) +
+ gInv33*(kxxL*kzzL + R1313 - SQR(kxzL));
+
+ Rojo12 = gInv11*R1121 + gInv13*(kxyL*kxzL - kxxL*kyzL + R1123) + gInv21*R1221 + gInv22*R1222 + gInv23*R1223 +
+ gInv31*R1321 + gInv32*(-(kxzL*kyyL) + kxyL*kyzL + R1322) + gInv33*(-(kxzL*kyzL) + kxyL*kzzL + R1323) +
+ gInv12*(-(kxxL*kyyL) + R1122 + SQR(kxyL));
+
+ Rojo13 = gInv11*R1131 + gInv12*(kxyL*kxzL - kxxL*kyzL + R1132) + gInv21*R1231 +
+ gInv22*(kxzL*kyyL - kxyL*kyzL + R1232) + gInv23*(kxzL*kyzL - kxyL*kzzL + R1233) + gInv31*R1331 + gInv32*R1332 +
+ gInv33*R1333 + gInv13*(-(kxxL*kzzL) + R1133 + SQR(kxzL));
+
+ Rojo21 = gInv11*R2111 + gInv12*R2112 + gInv13*R2113 + gInv22*R2212 + gInv23*(-(kxzL*kyyL) + kxyL*kyzL + R2213) +
+ gInv31*(kxyL*kxzL - kxxL*kyzL + R2311) + gInv32*R2312 + gInv33*(-(kxzL*kyzL) + kxyL*kzzL + R2313) +
+ gInv21*(-(kxxL*kyyL) + R2211 + SQR(kxyL));
+
+ Rojo22 = gInv12*R2122 + gInv13*(kxzL*kyyL - kxyL*kyzL + R2123) + gInv21*R2221 + gInv22*R2222 + gInv23*R2223 +
+ gInv31*(kxzL*kyyL - kxyL*kyzL + R2321) + gInv32*R2322 + gInv11*(kxxL*kyyL + R2121 - SQR(kxyL)) +
+ gInv33*(kyyL*kzzL + R2323 - SQR(kyzL));
+
+ Rojo23 = gInv11*(-(kxyL*kxzL) + kxxL*kyzL + R2131) + gInv12*R2132 + gInv13*(kxzL*kyzL - kxyL*kzzL + R2133) +
+ gInv21*(-(kxzL*kyyL) + kxyL*kyzL + R2231) + gInv22*R2232 + gInv31*R2331 + gInv32*R2332 + gInv33*R2333 +
+ gInv23*(-(kyyL*kzzL) + R2233 + SQR(kyzL));
+
+ Rojo31 = gInv11*R3111 + gInv12*R3112 + gInv13*R3113 + gInv21*(kxyL*kxzL - kxxL*kyzL + R3211) +
+ gInv22*(kxzL*kyyL - kxyL*kyzL + R3212) + gInv23*R3213 + gInv32*(kxzL*kyzL - kxyL*kzzL + R3312) + gInv33*R3313 +
+ gInv31*(-(kxxL*kzzL) + R3311 + SQR(kxzL));
+
+ Rojo32 = gInv11*(-(kxyL*kxzL) + kxxL*kyzL + R3121) + gInv12*(-(kxzL*kyyL) + kxyL*kyzL + R3122) + gInv13*R3123 +
+ gInv21*R3221 + gInv22*R3222 + gInv23*R3223 + gInv31*(kxzL*kyzL - kxyL*kzzL + R3321) + gInv33*R3323 +
+ gInv32*(-(kyyL*kzzL) + R3322 + SQR(kyzL));
+
+ Rojo33 = gInv12*(-(kxzL*kyzL) + kxyL*kzzL + R3132) + gInv13*R3133 + gInv21*(-(kxzL*kyzL) + kxyL*kzzL + R3231) +
+ gInv23*R3233 + gInv31*R3331 + gInv32*R3332 + gInv33*R3333 + gInv11*(kxxL*kzzL + R3131 - SQR(kxzL)) +
+ gInv22*(kyyL*kzzL + R3232 - SQR(kyzL));
+
+ Psi4rL = n1*(-(imbar1*(imbar2*(n1*(R4p1112 + R4p1211) + n2*(R4p1122 + R4p1221) + n3*(R4p1132 + R4p1231)) +
+ imbar3*(n1*(R4p1113 + R4p1311) + n2*(R4p1123 + R4p1321) + n3*(R4p1133 + R4p1331)))) -
+ imbar2*imbar3*(n1*(R4p1213 + R4p1312) + n2*(R4p1223 + R4p1322) + n3*(R4p1233 + R4p1332)) +
+ n1*R4p1112*rmbar1*rmbar2 + n2*R4p1122*rmbar1*rmbar2 + n3*R4p1132*rmbar1*rmbar2 + n1*R4p1211*rmbar1*rmbar2 +
+ n2*R4p1221*rmbar1*rmbar2 + n3*R4p1231*rmbar1*rmbar2 + n1*R4p1113*rmbar1*rmbar3 + n2*R4p1123*rmbar1*rmbar3 +
+ n3*R4p1133*rmbar1*rmbar3 + n1*R4p1311*rmbar1*rmbar3 + n2*R4p1321*rmbar1*rmbar3 + n3*R4p1331*rmbar1*rmbar3 +
+ n1*R4p1213*rmbar2*rmbar3 + n2*R4p1223*rmbar2*rmbar3 + n3*R4p1233*rmbar2*rmbar3 + n1*R4p1312*rmbar2*rmbar3 +
+ n2*R4p1322*rmbar2*rmbar3 + n3*R4p1332*rmbar2*rmbar3 - (n1*R4p1111 + n2*R4p1121 + n3*R4p1131)*SQR(imbar1) -
+ (n1*R4p1212 + n2*R4p1222 + n3*R4p1232)*SQR(imbar2) - n1*R4p1313*SQR(imbar3) - n2*R4p1323*SQR(imbar3) -
+ n3*R4p1333*SQR(imbar3) + n1*R4p1111*SQR(rmbar1) + n2*R4p1121*SQR(rmbar1) + n3*R4p1131*SQR(rmbar1) +
+ n1*R4p1212*SQR(rmbar2) + n2*R4p1222*SQR(rmbar2) + n3*R4p1232*SQR(rmbar2) + n1*R4p1313*SQR(rmbar3) +
+ n2*R4p1323*SQR(rmbar3) + n3*R4p1333*SQR(rmbar3)) +
+ n2*(-(imbar1*(imbar2*(n1*(R4p2112 + R4p2211) + n2*(R4p2122 + R4p2221) + n3*(R4p2132 + R4p2231)) +
+ imbar3*(n1*(R4p2113 + R4p2311) + n2*(R4p2123 + R4p2321) + n3*(R4p2133 + R4p2331)))) -
+ imbar2*imbar3*(n1*(R4p2213 + R4p2312) + n2*(R4p2223 + R4p2322) + n3*(R4p2233 + R4p2332)) +
+ n1*R4p2112*rmbar1*rmbar2 + n2*R4p2122*rmbar1*rmbar2 + n3*R4p2132*rmbar1*rmbar2 + n1*R4p2211*rmbar1*rmbar2 +
+ n2*R4p2221*rmbar1*rmbar2 + n3*R4p2231*rmbar1*rmbar2 + n1*R4p2113*rmbar1*rmbar3 + n2*R4p2123*rmbar1*rmbar3 +
+ n3*R4p2133*rmbar1*rmbar3 + n1*R4p2311*rmbar1*rmbar3 + n2*R4p2321*rmbar1*rmbar3 + n3*R4p2331*rmbar1*rmbar3 +
+ n1*R4p2213*rmbar2*rmbar3 + n2*R4p2223*rmbar2*rmbar3 + n3*R4p2233*rmbar2*rmbar3 + n1*R4p2312*rmbar2*rmbar3 +
+ n2*R4p2322*rmbar2*rmbar3 + n3*R4p2332*rmbar2*rmbar3 - (n1*R4p2111 + n2*R4p2121 + n3*R4p2131)*SQR(imbar1) -
+ (n1*R4p2212 + n2*R4p2222 + n3*R4p2232)*SQR(imbar2) - n1*R4p2313*SQR(imbar3) - n2*R4p2323*SQR(imbar3) -
+ n3*R4p2333*SQR(imbar3) + n1*R4p2111*SQR(rmbar1) + n2*R4p2121*SQR(rmbar1) + n3*R4p2131*SQR(rmbar1) +
+ n1*R4p2212*SQR(rmbar2) + n2*R4p2222*SQR(rmbar2) + n3*R4p2232*SQR(rmbar2) + n1*R4p2313*SQR(rmbar3) +
+ n2*R4p2323*SQR(rmbar3) + n3*R4p2333*SQR(rmbar3)) +
+ n3*(-(imbar1*(imbar2*(n1*(R4p3112 + R4p3211) + n2*(R4p3122 + R4p3221) + n3*(R4p3132 + R4p3231)) +
+ imbar3*(n1*(R4p3113 + R4p3311) + n2*(R4p3123 + R4p3321) + n3*(R4p3133 + R4p3331)))) -
+ imbar2*imbar3*(n1*(R4p3213 + R4p3312) + n2*(R4p3223 + R4p3322) + n3*(R4p3233 + R4p3332)) +
+ n1*R4p3112*rmbar1*rmbar2 + n2*R4p3122*rmbar1*rmbar2 + n3*R4p3132*rmbar1*rmbar2 + n1*R4p3211*rmbar1*rmbar2 +
+ n2*R4p3221*rmbar1*rmbar2 + n3*R4p3231*rmbar1*rmbar2 + n1*R4p3113*rmbar1*rmbar3 + n2*R4p3123*rmbar1*rmbar3 +
+ n3*R4p3133*rmbar1*rmbar3 + n1*R4p3311*rmbar1*rmbar3 + n2*R4p3321*rmbar1*rmbar3 + n3*R4p3331*rmbar1*rmbar3 +
+ n1*R4p3213*rmbar2*rmbar3 + n2*R4p3223*rmbar2*rmbar3 + n3*R4p3233*rmbar2*rmbar3 + n1*R4p3312*rmbar2*rmbar3 +
+ n2*R4p3322*rmbar2*rmbar3 + n3*R4p3332*rmbar2*rmbar3 - (n1*R4p3111 + n2*R4p3121 + n3*R4p3131)*SQR(imbar1) -
+ (n1*R4p3212 + n2*R4p3222 + n3*R4p3232)*SQR(imbar2) - n1*R4p3313*SQR(imbar3) - n2*R4p3323*SQR(imbar3) -
+ n3*R4p3333*SQR(imbar3) + n1*R4p3111*SQR(rmbar1) + n2*R4p3121*SQR(rmbar1) + n3*R4p3131*SQR(rmbar1) +
+ n1*R4p3212*SQR(rmbar2) + n2*R4p3222*SQR(rmbar2) + n3*R4p3232*SQR(rmbar2) + n1*R4p3313*SQR(rmbar3) +
+ n2*R4p3323*SQR(rmbar3) + n3*R4p3333*SQR(rmbar3)) -
+ SQR(nn)*((imbar2*imbar3 - rmbar2*rmbar3)*Rojo23 + imbar1*(imbar2*(Rojo12 + Rojo21) + imbar3*(Rojo13 + Rojo31)) -
+ rmbar1*(rmbar2*(Rojo12 + Rojo21) + rmbar3*(Rojo13 + Rojo31)) + imbar2*imbar3*Rojo32 - rmbar2*rmbar3*Rojo32 +
+ Rojo11*SQR(imbar1) + Rojo22*SQR(imbar2) + Rojo33*SQR(imbar3) - Rojo11*SQR(rmbar1) - Rojo22*SQR(rmbar2) -
+ Rojo33*SQR(rmbar3)) + 2*nn*(-(n1*(imbar2*imbar3*Ro213 - rmbar2*rmbar3*Ro213 +
+ imbar1*(imbar2*(Ro112 + Ro211) + imbar3*(Ro113 + Ro311)) -
+ rmbar1*(rmbar2*(Ro112 + Ro211) + rmbar3*(Ro113 + Ro311)) + imbar2*imbar3*Ro312 - rmbar2*rmbar3*Ro312 +
+ Ro111*SQR(imbar1) + Ro212*SQR(imbar2) + Ro313*SQR(imbar3) - Ro111*SQR(rmbar1) - Ro212*SQR(rmbar2) -
+ Ro313*SQR(rmbar3))) - n2*(imbar2*imbar3*Ro223 - rmbar2*rmbar3*Ro223 +
+ imbar1*(imbar2*(Ro122 + Ro221) + imbar3*(Ro123 + Ro321)) -
+ rmbar1*(rmbar2*(Ro122 + Ro221) + rmbar3*(Ro123 + Ro321)) + imbar2*imbar3*Ro322 - rmbar2*rmbar3*Ro322 +
+ Ro121*SQR(imbar1) + Ro222*SQR(imbar2) + Ro323*SQR(imbar3) - Ro121*SQR(rmbar1) - Ro222*SQR(rmbar2) -
+ Ro323*SQR(rmbar3)) - n3*(imbar2*imbar3*Ro233 - rmbar2*rmbar3*Ro233 +
+ imbar1*(imbar2*(Ro132 + Ro231) + imbar3*(Ro133 + Ro331)) -
+ rmbar1*(rmbar2*(Ro132 + Ro231) + rmbar3*(Ro133 + Ro331)) + imbar2*imbar3*Ro332 - rmbar2*rmbar3*Ro332 +
+ Ro131*SQR(imbar1) + Ro232*SQR(imbar2) + Ro333*SQR(imbar3) - Ro131*SQR(rmbar1) - Ro232*SQR(rmbar2) -
+ Ro333*SQR(rmbar3)));
+
+ Psi4iL = -(n1*(im1*(n1*(2*R4p1111*rm1 + R4p1112*rm2 + R4p1211*rm2 + R4p1113*rm3 + R4p1311*rm3) +
+ n2*(2*R4p1121*rm1 + R4p1122*rm2 + R4p1221*rm2 + R4p1123*rm3 + R4p1321*rm3) +
+ n3*(2*R4p1131*rm1 + R4p1132*rm2 + R4p1231*rm2 + R4p1133*rm3 + R4p1331*rm3)) +
+ im2*(n1*(R4p1112*rm1 + R4p1211*rm1 + 2*R4p1212*rm2 + R4p1213*rm3 + R4p1312*rm3) +
+ n2*(R4p1122*rm1 + R4p1221*rm1 + 2*R4p1222*rm2 + R4p1223*rm3 + R4p1322*rm3) +
+ n3*(R4p1132*rm1 + R4p1231*rm1 + 2*R4p1232*rm2 + R4p1233*rm3 + R4p1332*rm3)) +
+ im3*(n1*(R4p1113*rm1 + R4p1311*rm1 + R4p1213*rm2 + R4p1312*rm2 + 2*R4p1313*rm3) +
+ n2*(R4p1123*rm1 + R4p1321*rm1 + R4p1223*rm2 + R4p1322*rm2 + 2*R4p1323*rm3) +
+ n3*(R4p1133*rm1 + R4p1331*rm1 + R4p1233*rm2 + R4p1332*rm2 + 2*R4p1333*rm3)))) -
+ n2*(im1*(n1*(2*R4p2111*rm1 + R4p2112*rm2 + R4p2211*rm2 + R4p2113*rm3 + R4p2311*rm3) +
+ n2*(2*R4p2121*rm1 + R4p2122*rm2 + R4p2221*rm2 + R4p2123*rm3 + R4p2321*rm3) +
+ n3*(2*R4p2131*rm1 + R4p2132*rm2 + R4p2231*rm2 + R4p2133*rm3 + R4p2331*rm3)) +
+ im2*(n1*(R4p2112*rm1 + R4p2211*rm1 + 2*R4p2212*rm2 + R4p2213*rm3 + R4p2312*rm3) +
+ n2*(R4p2122*rm1 + R4p2221*rm1 + 2*R4p2222*rm2 + R4p2223*rm3 + R4p2322*rm3) +
+ n3*(R4p2132*rm1 + R4p2231*rm1 + 2*R4p2232*rm2 + R4p2233*rm3 + R4p2332*rm3)) +
+ im3*(n1*(R4p2113*rm1 + R4p2311*rm1 + R4p2213*rm2 + R4p2312*rm2 + 2*R4p2313*rm3) +
+ n2*(R4p2123*rm1 + R4p2321*rm1 + R4p2223*rm2 + R4p2322*rm2 + 2*R4p2323*rm3) +
+ n3*(R4p2133*rm1 + R4p2331*rm1 + R4p2233*rm2 + R4p2332*rm2 + 2*R4p2333*rm3))) -
+ n3*(im1*(n1*(2*R4p3111*rm1 + R4p3112*rm2 + R4p3211*rm2 + R4p3113*rm3 + R4p3311*rm3) +
+ n2*(2*R4p3121*rm1 + R4p3122*rm2 + R4p3221*rm2 + R4p3123*rm3 + R4p3321*rm3) +
+ n3*(2*R4p3131*rm1 + R4p3132*rm2 + R4p3231*rm2 + R4p3133*rm3 + R4p3331*rm3)) +
+ im2*(n1*(R4p3112*rm1 + R4p3211*rm1 + 2*R4p3212*rm2 + R4p3213*rm3 + R4p3312*rm3) +
+ n2*(R4p3122*rm1 + R4p3221*rm1 + 2*R4p3222*rm2 + R4p3223*rm3 + R4p3322*rm3) +
+ n3*(R4p3132*rm1 + R4p3231*rm1 + 2*R4p3232*rm2 + R4p3233*rm3 + R4p3332*rm3)) +
+ im3*(n1*(R4p3113*rm1 + R4p3311*rm1 + R4p3213*rm2 + R4p3312*rm2 + 2*R4p3313*rm3) +
+ n2*(R4p3123*rm1 + R4p3321*rm1 + R4p3223*rm2 + R4p3322*rm2 + 2*R4p3323*rm3) +
+ n3*(R4p3133*rm1 + R4p3331*rm1 + R4p3233*rm2 + R4p3332*rm2 + 2*R4p3333*rm3))) -
+ 2*nn*(im1*(n1*(2*rm1*Ro111 + rm2*(Ro112 + Ro211) + rm3*(Ro113 + Ro311)) +
+ n2*(2*rm1*Ro121 + rm2*(Ro122 + Ro221) + rm3*(Ro123 + Ro321)) +
+ n3*(2*rm1*Ro131 + rm2*(Ro132 + Ro231) + rm3*(Ro133 + Ro331))) +
+ im2*(n1*(rm1*(Ro112 + Ro211) + 2*rm2*Ro212 + rm3*(Ro213 + Ro312)) +
+ n2*(rm1*(Ro122 + Ro221) + 2*rm2*Ro222 + rm3*(Ro223 + Ro322)) +
+ n3*(rm1*(Ro132 + Ro231) + 2*rm2*Ro232 + rm3*(Ro233 + Ro332))) +
+ im3*(n1*(rm1*(Ro113 + Ro311) + rm2*(Ro213 + Ro312) + 2*rm3*Ro313) +
+ n2*(rm1*(Ro123 + Ro321) + rm2*(Ro223 + Ro322) + 2*rm3*Ro323) +
+ n3*(rm1*(Ro133 + Ro331) + rm2*(Ro233 + Ro332) + 2*rm3*Ro333))) -
+ (im1*(2*rm1*Rojo11 + rm2*(Rojo12 + Rojo21) + rm3*(Rojo13 + Rojo31)) +
+ im2*(rm1*(Rojo12 + Rojo21) + 2*rm2*Rojo22 + rm3*(Rojo23 + Rojo32)) +
+ im3*(rm1*(Rojo13 + Rojo31) + rm2*(Rojo23 + Rojo32) + 2*rm3*Rojo33))*SQR(nn);
+
+
+ /* Copy local copies back to grid functions */
+ Psi4i[index] = Psi4iL;
+ Psi4r[index] = Psi4rL;
+
+ /* Copy local copies back to subblock grid functions */
+ }
+ }
+ }
+}
+
+void psis_calc_2nd(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ GenericFD_LoopOverInterior(cctkGH, &psis_calc_2nd_Body);
+}
diff --git a/src/psis_calc_4th.c b/src/psis_calc_4th.c
new file mode 100644
index 0000000..3cf8e8f
--- /dev/null
+++ b/src/psis_calc_4th.c
@@ -0,0 +1,1260 @@
+/* File produced by Kranc */
+
+#define KRANC_C
+
+#include <assert.h>
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+#include "GenericFD.h"
+#include "Differencing.h"
+
+/* Define macros used in calculations */
+#define INITVALUE (42)
+#define INV(x) ((1.0) / (x))
+#define SQR(x) ((x) * (x))
+#define CUB(x) ((x) * (x) * (x))
+#define QAD(x) ((x) * (x) * (x) * (x))
+
+void psis_calc_4th_Body(cGH const * const cctkGH, CCTK_INT const dir, CCTK_INT const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], CCTK_INT const min[3], CCTK_INT const max[3], CCTK_INT const n_subblock_gfs, CCTK_REAL * const subblock_gfs[])
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+
+ /* Declare the variables used for looping over grid points */
+ CCTK_INT i = INITVALUE, j = INITVALUE, k = INITVALUE;
+ CCTK_INT index = INITVALUE;
+ CCTK_INT subblock_index = INITVALUE;
+
+ /* Declare finite differencing variables */
+ CCTK_REAL dx = INITVALUE, dy = INITVALUE, dz = INITVALUE;
+ CCTK_REAL dxi = INITVALUE, dyi = INITVALUE, dzi = INITVALUE;
+ CCTK_REAL khalf = INITVALUE, kthird = INITVALUE, ktwothird = INITVALUE, kfourthird = INITVALUE, keightthird = INITVALUE;
+ CCTK_REAL hdxi = INITVALUE, hdyi = INITVALUE, hdzi = INITVALUE;
+
+
+ /* Declare predefined quantities */
+ CCTK_REAL p1o12dx = INITVALUE;
+ CCTK_REAL p1o12dy = INITVALUE;
+ CCTK_REAL p1o12dz = INITVALUE;
+ CCTK_REAL p1o144dxdy = INITVALUE;
+ CCTK_REAL p1o144dxdz = INITVALUE;
+ CCTK_REAL p1o144dydz = INITVALUE;
+ CCTK_REAL p1o2dx = INITVALUE;
+ CCTK_REAL p1o2dy = INITVALUE;
+ CCTK_REAL p1o2dz = INITVALUE;
+ CCTK_REAL p1o4dxdy = INITVALUE;
+ CCTK_REAL p1o4dxdz = INITVALUE;
+ CCTK_REAL p1o4dydz = INITVALUE;
+ CCTK_REAL p1odx = INITVALUE;
+ CCTK_REAL p1odx2 = INITVALUE;
+ CCTK_REAL p1odxdy = INITVALUE;
+ CCTK_REAL p1odxdz = INITVALUE;
+ CCTK_REAL p1ody = INITVALUE;
+ CCTK_REAL p1ody2 = INITVALUE;
+ CCTK_REAL p1odydz = INITVALUE;
+ CCTK_REAL p1odz = INITVALUE;
+ CCTK_REAL p1odz2 = INITVALUE;
+ CCTK_REAL pm1o12dx2 = INITVALUE;
+ CCTK_REAL pm1o12dy2 = INITVALUE;
+ CCTK_REAL pm1o12dz2 = INITVALUE;
+ CCTK_REAL pm1o2dx = INITVALUE;
+ CCTK_REAL pm1o2dy = INITVALUE;
+ CCTK_REAL pm1o2dz = INITVALUE;
+
+ if (verbose > 1)
+ {
+ CCTK_VInfo(CCTK_THORNSTRING,"Entering psis_calc_4th_Body");
+ }
+
+ if (cctk_iteration % psis_calc_4th_calc_every != psis_calc_4th_calc_offset)
+ {
+ return;
+ }
+
+ /* Include user-supplied include files */
+
+ /* Initialise finite differencing variables */
+ dx = CCTK_DELTA_SPACE(0);
+ dy = CCTK_DELTA_SPACE(1);
+ dz = CCTK_DELTA_SPACE(2);
+ dxi = 1.0 / dx;
+ dyi = 1.0 / dy;
+ dzi = 1.0 / dz;
+ khalf = 0.5;
+ kthird = 1/3.0;
+ ktwothird = 2.0/3.0;
+ kfourthird = 4.0/3.0;
+ keightthird = 8.0/3.0;
+ hdxi = 0.5 * dxi;
+ hdyi = 0.5 * dyi;
+ hdzi = 0.5 * dzi;
+
+ /* Initialize predefined quantities */
+ p1o12dx = INV(dx)/12.;
+ p1o12dy = INV(dy)/12.;
+ p1o12dz = INV(dz)/12.;
+ p1o144dxdy = (INV(dx)*INV(dy))/144.;
+ p1o144dxdz = (INV(dx)*INV(dz))/144.;
+ p1o144dydz = (INV(dy)*INV(dz))/144.;
+ p1o2dx = khalf*INV(dx);
+ p1o2dy = khalf*INV(dy);
+ p1o2dz = khalf*INV(dz);
+ p1o4dxdy = (INV(dx)*INV(dy))/4.;
+ p1o4dxdz = (INV(dx)*INV(dz))/4.;
+ p1o4dydz = (INV(dy)*INV(dz))/4.;
+ p1odx = INV(dx);
+ p1odx2 = pow(dx,-2);
+ p1odxdy = INV(dx)*INV(dy);
+ p1odxdz = INV(dx)*INV(dz);
+ p1ody = INV(dy);
+ p1ody2 = pow(dy,-2);
+ p1odydz = INV(dy)*INV(dz);
+ p1odz = INV(dz);
+ p1odz2 = pow(dz,-2);
+ pm1o12dx2 = -pow(dx,-2)/12.;
+ pm1o12dy2 = -pow(dy,-2)/12.;
+ pm1o12dz2 = -pow(dz,-2)/12.;
+ pm1o2dx = -(khalf*INV(dx));
+ pm1o2dy = -(khalf*INV(dy));
+ pm1o2dz = -(khalf*INV(dz));
+
+ /* Loop over the grid points */
+ for (k = min[2]; k < max[2]; k++)
+ {
+ for (j = min[1]; j < max[1]; j++)
+ {
+ for (i = min[0]; i < max[0]; i++)
+ {
+ index = CCTK_GFINDEX3D(cctkGH,i,j,k) ;
+ subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])) ;
+
+ /* Declare shorthands */
+ CCTK_REAL detg = INITVALUE;
+ CCTK_REAL gamma111 = INITVALUE, gamma121 = INITVALUE, gamma122 = INITVALUE, gamma131 = INITVALUE, gamma132 = INITVALUE, gamma133 = INITVALUE;
+ CCTK_REAL gamma211 = INITVALUE, gamma221 = INITVALUE, gamma222 = INITVALUE, gamma231 = INITVALUE, gamma232 = INITVALUE, gamma233 = INITVALUE;
+ CCTK_REAL gamma311 = INITVALUE, gamma321 = INITVALUE, gamma322 = INITVALUE, gamma331 = INITVALUE, gamma332 = INITVALUE, gamma333 = INITVALUE;
+ CCTK_REAL gInv11 = INITVALUE, gInv12 = INITVALUE, gInv13 = INITVALUE, gInv21 = INITVALUE, gInv22 = INITVALUE, gInv23 = INITVALUE;
+ CCTK_REAL gInv31 = INITVALUE, gInv32 = INITVALUE, gInv33 = INITVALUE;
+ CCTK_REAL im1 = INITVALUE, im2 = INITVALUE, im3 = INITVALUE;
+ CCTK_REAL imbar1 = INITVALUE, imbar2 = INITVALUE, imbar3 = INITVALUE;
+ CCTK_REAL invdetg = INITVALUE;
+ CCTK_REAL isqrt2 = INITVALUE;
+ CCTK_REAL n1 = INITVALUE, n2 = INITVALUE, n3 = INITVALUE;
+ CCTK_REAL nn = INITVALUE;
+ CCTK_REAL omega11 = INITVALUE, omega12 = INITVALUE, omega13 = INITVALUE, omega22 = INITVALUE, omega23 = INITVALUE, omega33 = INITVALUE;
+ CCTK_REAL R1111 = INITVALUE, R1112 = INITVALUE, R1113 = INITVALUE, R1121 = INITVALUE, R1122 = INITVALUE, R1123 = INITVALUE;
+ CCTK_REAL R1131 = INITVALUE, R1132 = INITVALUE, R1133 = INITVALUE, R1211 = INITVALUE, R1212 = INITVALUE, R1213 = INITVALUE;
+ CCTK_REAL R1221 = INITVALUE, R1222 = INITVALUE, R1223 = INITVALUE, R1231 = INITVALUE, R1232 = INITVALUE, R1233 = INITVALUE;
+ CCTK_REAL R1311 = INITVALUE, R1312 = INITVALUE, R1313 = INITVALUE, R1321 = INITVALUE, R1322 = INITVALUE, R1323 = INITVALUE;
+ CCTK_REAL R1331 = INITVALUE, R1332 = INITVALUE, R1333 = INITVALUE, R2111 = INITVALUE, R2112 = INITVALUE, R2113 = INITVALUE;
+ CCTK_REAL R2121 = INITVALUE, R2122 = INITVALUE, R2123 = INITVALUE, R2131 = INITVALUE, R2132 = INITVALUE, R2133 = INITVALUE;
+ CCTK_REAL R2211 = INITVALUE, R2212 = INITVALUE, R2213 = INITVALUE, R2221 = INITVALUE, R2222 = INITVALUE, R2223 = INITVALUE;
+ CCTK_REAL R2231 = INITVALUE, R2232 = INITVALUE, R2233 = INITVALUE, R2311 = INITVALUE, R2312 = INITVALUE, R2313 = INITVALUE;
+ CCTK_REAL R2321 = INITVALUE, R2322 = INITVALUE, R2323 = INITVALUE, R2331 = INITVALUE, R2332 = INITVALUE, R2333 = INITVALUE;
+ CCTK_REAL R3111 = INITVALUE, R3112 = INITVALUE, R3113 = INITVALUE, R3121 = INITVALUE, R3122 = INITVALUE, R3123 = INITVALUE;
+ CCTK_REAL R3131 = INITVALUE, R3132 = INITVALUE, R3133 = INITVALUE, R3211 = INITVALUE, R3212 = INITVALUE, R3213 = INITVALUE;
+ CCTK_REAL R3221 = INITVALUE, R3222 = INITVALUE, R3223 = INITVALUE, R3231 = INITVALUE, R3232 = INITVALUE, R3233 = INITVALUE;
+ CCTK_REAL R3311 = INITVALUE, R3312 = INITVALUE, R3313 = INITVALUE, R3321 = INITVALUE, R3322 = INITVALUE, R3323 = INITVALUE;
+ CCTK_REAL R3331 = INITVALUE, R3332 = INITVALUE, R3333 = INITVALUE;
+ CCTK_REAL R4p1111 = INITVALUE, R4p1112 = INITVALUE, R4p1113 = INITVALUE, R4p1121 = INITVALUE, R4p1122 = INITVALUE, R4p1123 = INITVALUE;
+ CCTK_REAL R4p1131 = INITVALUE, R4p1132 = INITVALUE, R4p1133 = INITVALUE, R4p1211 = INITVALUE, R4p1212 = INITVALUE, R4p1213 = INITVALUE;
+ CCTK_REAL R4p1221 = INITVALUE, R4p1222 = INITVALUE, R4p1223 = INITVALUE, R4p1231 = INITVALUE, R4p1232 = INITVALUE, R4p1233 = INITVALUE;
+ CCTK_REAL R4p1311 = INITVALUE, R4p1312 = INITVALUE, R4p1313 = INITVALUE, R4p1321 = INITVALUE, R4p1322 = INITVALUE, R4p1323 = INITVALUE;
+ CCTK_REAL R4p1331 = INITVALUE, R4p1332 = INITVALUE, R4p1333 = INITVALUE, R4p2111 = INITVALUE, R4p2112 = INITVALUE, R4p2113 = INITVALUE;
+ CCTK_REAL R4p2121 = INITVALUE, R4p2122 = INITVALUE, R4p2123 = INITVALUE, R4p2131 = INITVALUE, R4p2132 = INITVALUE, R4p2133 = INITVALUE;
+ CCTK_REAL R4p2211 = INITVALUE, R4p2212 = INITVALUE, R4p2213 = INITVALUE, R4p2221 = INITVALUE, R4p2222 = INITVALUE, R4p2223 = INITVALUE;
+ CCTK_REAL R4p2231 = INITVALUE, R4p2232 = INITVALUE, R4p2233 = INITVALUE, R4p2311 = INITVALUE, R4p2312 = INITVALUE, R4p2313 = INITVALUE;
+ CCTK_REAL R4p2321 = INITVALUE, R4p2322 = INITVALUE, R4p2323 = INITVALUE, R4p2331 = INITVALUE, R4p2332 = INITVALUE, R4p2333 = INITVALUE;
+ CCTK_REAL R4p3111 = INITVALUE, R4p3112 = INITVALUE, R4p3113 = INITVALUE, R4p3121 = INITVALUE, R4p3122 = INITVALUE, R4p3123 = INITVALUE;
+ CCTK_REAL R4p3131 = INITVALUE, R4p3132 = INITVALUE, R4p3133 = INITVALUE, R4p3211 = INITVALUE, R4p3212 = INITVALUE, R4p3213 = INITVALUE;
+ CCTK_REAL R4p3221 = INITVALUE, R4p3222 = INITVALUE, R4p3223 = INITVALUE, R4p3231 = INITVALUE, R4p3232 = INITVALUE, R4p3233 = INITVALUE;
+ CCTK_REAL R4p3311 = INITVALUE, R4p3312 = INITVALUE, R4p3313 = INITVALUE, R4p3321 = INITVALUE, R4p3322 = INITVALUE, R4p3323 = INITVALUE;
+ CCTK_REAL R4p3331 = INITVALUE, R4p3332 = INITVALUE, R4p3333 = INITVALUE;
+ CCTK_REAL rm1 = INITVALUE, rm2 = INITVALUE, rm3 = INITVALUE;
+ CCTK_REAL rmbar1 = INITVALUE, rmbar2 = INITVALUE, rmbar3 = INITVALUE;
+ CCTK_REAL Ro111 = INITVALUE, Ro112 = INITVALUE, Ro113 = INITVALUE, Ro121 = INITVALUE, Ro122 = INITVALUE, Ro123 = INITVALUE;
+ CCTK_REAL Ro131 = INITVALUE, Ro132 = INITVALUE, Ro133 = INITVALUE, Ro211 = INITVALUE, Ro212 = INITVALUE, Ro213 = INITVALUE;
+ CCTK_REAL Ro221 = INITVALUE, Ro222 = INITVALUE, Ro223 = INITVALUE, Ro231 = INITVALUE, Ro232 = INITVALUE, Ro233 = INITVALUE;
+ CCTK_REAL Ro311 = INITVALUE, Ro312 = INITVALUE, Ro313 = INITVALUE, Ro321 = INITVALUE, Ro322 = INITVALUE, Ro323 = INITVALUE;
+ CCTK_REAL Ro331 = INITVALUE, Ro332 = INITVALUE, Ro333 = INITVALUE;
+ CCTK_REAL Rojo11 = INITVALUE, Rojo12 = INITVALUE, Rojo13 = INITVALUE, Rojo21 = INITVALUE, Rojo22 = INITVALUE, Rojo23 = INITVALUE;
+ CCTK_REAL Rojo31 = INITVALUE, Rojo32 = INITVALUE, Rojo33 = INITVALUE;
+ CCTK_REAL va1 = INITVALUE, va2 = INITVALUE, va3 = INITVALUE;
+ CCTK_REAL vb1 = INITVALUE, vb2 = INITVALUE, vb3 = INITVALUE;
+ CCTK_REAL vc1 = INITVALUE, vc2 = INITVALUE, vc3 = INITVALUE;
+ CCTK_REAL xmoved = INITVALUE;
+ CCTK_REAL ymoved = INITVALUE;
+ CCTK_REAL zmoved = INITVALUE;
+
+ /* Declare local copies of grid functions */
+ CCTK_REAL gxxL = INITVALUE;
+ CCTK_REAL gxyL = INITVALUE;
+ CCTK_REAL gxzL = INITVALUE;
+ CCTK_REAL gyyL = INITVALUE;
+ CCTK_REAL gyzL = INITVALUE;
+ CCTK_REAL gzzL = INITVALUE;
+ CCTK_REAL kxxL = INITVALUE;
+ CCTK_REAL kxyL = INITVALUE;
+ CCTK_REAL kxzL = INITVALUE;
+ CCTK_REAL kyyL = INITVALUE;
+ CCTK_REAL kyzL = INITVALUE;
+ CCTK_REAL kzzL = INITVALUE;
+ CCTK_REAL Psi4iL = INITVALUE;
+ CCTK_REAL Psi4rL = INITVALUE;
+ CCTK_REAL xL = INITVALUE;
+ CCTK_REAL yL = INITVALUE;
+ CCTK_REAL zL = INITVALUE;
+ /* Declare precomputed derivatives*/
+
+ /* Declare derivatives */
+ CCTK_REAL PDstandard4th1gxx = INITVALUE;
+ CCTK_REAL PDstandard4th2gxx = INITVALUE;
+ CCTK_REAL PDstandard4th3gxx = INITVALUE;
+ CCTK_REAL PDstandard4th22gxx = INITVALUE;
+ CCTK_REAL PDstandard4th33gxx = INITVALUE;
+ CCTK_REAL PDstandard4th23gxx = INITVALUE;
+ CCTK_REAL PDstandard4th1gxy = INITVALUE;
+ CCTK_REAL PDstandard4th2gxy = INITVALUE;
+ CCTK_REAL PDstandard4th3gxy = INITVALUE;
+ CCTK_REAL PDstandard4th33gxy = INITVALUE;
+ CCTK_REAL PDstandard4th12gxy = INITVALUE;
+ CCTK_REAL PDstandard4th13gxy = INITVALUE;
+ CCTK_REAL PDstandard4th23gxy = INITVALUE;
+ CCTK_REAL PDstandard4th1gxz = INITVALUE;
+ CCTK_REAL PDstandard4th2gxz = INITVALUE;
+ CCTK_REAL PDstandard4th3gxz = INITVALUE;
+ CCTK_REAL PDstandard4th22gxz = INITVALUE;
+ CCTK_REAL PDstandard4th12gxz = INITVALUE;
+ CCTK_REAL PDstandard4th13gxz = INITVALUE;
+ CCTK_REAL PDstandard4th23gxz = INITVALUE;
+ CCTK_REAL PDstandard4th1gyy = INITVALUE;
+ CCTK_REAL PDstandard4th2gyy = INITVALUE;
+ CCTK_REAL PDstandard4th3gyy = INITVALUE;
+ CCTK_REAL PDstandard4th11gyy = INITVALUE;
+ CCTK_REAL PDstandard4th33gyy = INITVALUE;
+ CCTK_REAL PDstandard4th13gyy = INITVALUE;
+ CCTK_REAL PDstandard4th1gyz = INITVALUE;
+ CCTK_REAL PDstandard4th2gyz = INITVALUE;
+ CCTK_REAL PDstandard4th3gyz = INITVALUE;
+ CCTK_REAL PDstandard4th11gyz = INITVALUE;
+ CCTK_REAL PDstandard4th12gyz = INITVALUE;
+ CCTK_REAL PDstandard4th13gyz = INITVALUE;
+ CCTK_REAL PDstandard4th23gyz = INITVALUE;
+ CCTK_REAL PDstandard4th1gzz = INITVALUE;
+ CCTK_REAL PDstandard4th2gzz = INITVALUE;
+ CCTK_REAL PDstandard4th3gzz = INITVALUE;
+ CCTK_REAL PDstandard4th11gzz = INITVALUE;
+ CCTK_REAL PDstandard4th22gzz = INITVALUE;
+ CCTK_REAL PDstandard4th12gzz = INITVALUE;
+ CCTK_REAL PDstandard4th2kxx = INITVALUE;
+ CCTK_REAL PDstandard4th3kxx = INITVALUE;
+ CCTK_REAL PDstandard4th1kxy = INITVALUE;
+ CCTK_REAL PDstandard4th2kxy = INITVALUE;
+ CCTK_REAL PDstandard4th3kxy = INITVALUE;
+ CCTK_REAL PDstandard4th1kxz = INITVALUE;
+ CCTK_REAL PDstandard4th2kxz = INITVALUE;
+ CCTK_REAL PDstandard4th3kxz = INITVALUE;
+ CCTK_REAL PDstandard4th1kyy = INITVALUE;
+ CCTK_REAL PDstandard4th3kyy = INITVALUE;
+ CCTK_REAL PDstandard4th1kyz = INITVALUE;
+ CCTK_REAL PDstandard4th2kyz = INITVALUE;
+ CCTK_REAL PDstandard4th3kyz = INITVALUE;
+ CCTK_REAL PDstandard4th1kzz = INITVALUE;
+ CCTK_REAL PDstandard4th2kzz = INITVALUE;
+
+ /* Assign local copies of grid functions */
+ gxxL = gxx[index];
+ gxyL = gxy[index];
+ gxzL = gxz[index];
+ gyyL = gyy[index];
+ gyzL = gyz[index];
+ gzzL = gzz[index];
+ kxxL = kxx[index];
+ kxyL = kxy[index];
+ kxzL = kxz[index];
+ kyyL = kyy[index];
+ kyzL = kyz[index];
+ kzzL = kzz[index];
+ xL = x[index];
+ yL = y[index];
+ zL = z[index];
+
+ /* Assign local copies of subblock grid functions */
+
+ /* Include user supplied include files */
+
+ /* Precompute derivatives (new style) */
+ PDstandard4th1gxx = PDstandard4th1(gxx, i, j, k);
+ PDstandard4th2gxx = PDstandard4th2(gxx, i, j, k);
+ PDstandard4th3gxx = PDstandard4th3(gxx, i, j, k);
+ PDstandard4th22gxx = PDstandard4th22(gxx, i, j, k);
+ PDstandard4th33gxx = PDstandard4th33(gxx, i, j, k);
+ PDstandard4th23gxx = PDstandard4th23(gxx, i, j, k);
+ PDstandard4th1gxy = PDstandard4th1(gxy, i, j, k);
+ PDstandard4th2gxy = PDstandard4th2(gxy, i, j, k);
+ PDstandard4th3gxy = PDstandard4th3(gxy, i, j, k);
+ PDstandard4th33gxy = PDstandard4th33(gxy, i, j, k);
+ PDstandard4th12gxy = PDstandard4th12(gxy, i, j, k);
+ PDstandard4th13gxy = PDstandard4th13(gxy, i, j, k);
+ PDstandard4th23gxy = PDstandard4th23(gxy, i, j, k);
+ PDstandard4th1gxz = PDstandard4th1(gxz, i, j, k);
+ PDstandard4th2gxz = PDstandard4th2(gxz, i, j, k);
+ PDstandard4th3gxz = PDstandard4th3(gxz, i, j, k);
+ PDstandard4th22gxz = PDstandard4th22(gxz, i, j, k);
+ PDstandard4th12gxz = PDstandard4th12(gxz, i, j, k);
+ PDstandard4th13gxz = PDstandard4th13(gxz, i, j, k);
+ PDstandard4th23gxz = PDstandard4th23(gxz, i, j, k);
+ PDstandard4th1gyy = PDstandard4th1(gyy, i, j, k);
+ PDstandard4th2gyy = PDstandard4th2(gyy, i, j, k);
+ PDstandard4th3gyy = PDstandard4th3(gyy, i, j, k);
+ PDstandard4th11gyy = PDstandard4th11(gyy, i, j, k);
+ PDstandard4th33gyy = PDstandard4th33(gyy, i, j, k);
+ PDstandard4th13gyy = PDstandard4th13(gyy, i, j, k);
+ PDstandard4th1gyz = PDstandard4th1(gyz, i, j, k);
+ PDstandard4th2gyz = PDstandard4th2(gyz, i, j, k);
+ PDstandard4th3gyz = PDstandard4th3(gyz, i, j, k);
+ PDstandard4th11gyz = PDstandard4th11(gyz, i, j, k);
+ PDstandard4th12gyz = PDstandard4th12(gyz, i, j, k);
+ PDstandard4th13gyz = PDstandard4th13(gyz, i, j, k);
+ PDstandard4th23gyz = PDstandard4th23(gyz, i, j, k);
+ PDstandard4th1gzz = PDstandard4th1(gzz, i, j, k);
+ PDstandard4th2gzz = PDstandard4th2(gzz, i, j, k);
+ PDstandard4th3gzz = PDstandard4th3(gzz, i, j, k);
+ PDstandard4th11gzz = PDstandard4th11(gzz, i, j, k);
+ PDstandard4th22gzz = PDstandard4th22(gzz, i, j, k);
+ PDstandard4th12gzz = PDstandard4th12(gzz, i, j, k);
+ PDstandard4th2kxx = PDstandard4th2(kxx, i, j, k);
+ PDstandard4th3kxx = PDstandard4th3(kxx, i, j, k);
+ PDstandard4th1kxy = PDstandard4th1(kxy, i, j, k);
+ PDstandard4th2kxy = PDstandard4th2(kxy, i, j, k);
+ PDstandard4th3kxy = PDstandard4th3(kxy, i, j, k);
+ PDstandard4th1kxz = PDstandard4th1(kxz, i, j, k);
+ PDstandard4th2kxz = PDstandard4th2(kxz, i, j, k);
+ PDstandard4th3kxz = PDstandard4th3(kxz, i, j, k);
+ PDstandard4th1kyy = PDstandard4th1(kyy, i, j, k);
+ PDstandard4th3kyy = PDstandard4th3(kyy, i, j, k);
+ PDstandard4th1kyz = PDstandard4th1(kyz, i, j, k);
+ PDstandard4th2kyz = PDstandard4th2(kyz, i, j, k);
+ PDstandard4th3kyz = PDstandard4th3(kyz, i, j, k);
+ PDstandard4th1kzz = PDstandard4th1(kzz, i, j, k);
+ PDstandard4th2kzz = PDstandard4th2(kzz, i, j, k);
+
+ /* Precompute derivatives (old style) */
+
+ /* Calculate temporaries and grid functions */
+ detg = 2*gxyL*gxzL*gyzL + gzzL*(gxxL*gyyL - SQR(gxyL)) - gyyL*SQR(gxzL) - gxxL*SQR(gyzL);
+
+ invdetg = INV(detg);
+
+ gInv11 = invdetg*(gyyL*gzzL - SQR(gyzL));
+
+ gInv12 = (gxzL*gyzL - gxyL*gzzL)*invdetg;
+
+ gInv13 = (-(gxzL*gyyL) + gxyL*gyzL)*invdetg;
+
+ gInv21 = (gxzL*gyzL - gxyL*gzzL)*invdetg;
+
+ gInv22 = invdetg*(gxxL*gzzL - SQR(gxzL));
+
+ gInv23 = (gxyL*gxzL - gxxL*gyzL)*invdetg;
+
+ gInv31 = (-(gxzL*gyyL) + gxyL*gyzL)*invdetg;
+
+ gInv32 = (gxyL*gxzL - gxxL*gyzL)*invdetg;
+
+ gInv33 = invdetg*(gxxL*gyyL - SQR(gxyL));
+
+ gamma111 = khalf*(gInv11*PDstandard4th1gxx + 2*(gInv12*PDstandard4th1gxy + gInv13*PDstandard4th1gxz) -
+ gInv12*PDstandard4th2gxx - gInv13*PDstandard4th3gxx);
+
+ gamma211 = khalf*(gInv21*PDstandard4th1gxx + 2*(gInv22*PDstandard4th1gxy + gInv23*PDstandard4th1gxz) -
+ gInv22*PDstandard4th2gxx - gInv23*PDstandard4th3gxx);
+
+ gamma311 = khalf*(gInv31*PDstandard4th1gxx + 2*(gInv32*PDstandard4th1gxy + gInv33*PDstandard4th1gxz) -
+ gInv32*PDstandard4th2gxx - gInv33*PDstandard4th3gxx);
+
+ gamma121 = khalf*(gInv12*PDstandard4th1gyy + gInv11*PDstandard4th2gxx +
+ gInv13*(PDstandard4th1gyz + PDstandard4th2gxz - PDstandard4th3gxy));
+
+ gamma221 = khalf*(gInv22*PDstandard4th1gyy + gInv21*PDstandard4th2gxx +
+ gInv23*(PDstandard4th1gyz + PDstandard4th2gxz - PDstandard4th3gxy));
+
+ gamma321 = khalf*(gInv32*PDstandard4th1gyy + gInv31*PDstandard4th2gxx +
+ gInv33*(PDstandard4th1gyz + PDstandard4th2gxz - PDstandard4th3gxy));
+
+ gamma131 = khalf*(gInv13*PDstandard4th1gzz + gInv11*PDstandard4th3gxx +
+ gInv12*(PDstandard4th1gyz - PDstandard4th2gxz + PDstandard4th3gxy));
+
+ gamma231 = khalf*(gInv23*PDstandard4th1gzz + gInv21*PDstandard4th3gxx +
+ gInv22*(PDstandard4th1gyz - PDstandard4th2gxz + PDstandard4th3gxy));
+
+ gamma331 = khalf*(gInv33*PDstandard4th1gzz + gInv31*PDstandard4th3gxx +
+ gInv32*(PDstandard4th1gyz - PDstandard4th2gxz + PDstandard4th3gxy));
+
+ gamma122 = khalf*(gInv11*(-PDstandard4th1gyy + 2*PDstandard4th2gxy) + gInv12*PDstandard4th2gyy +
+ gInv13*(2*PDstandard4th2gyz - PDstandard4th3gyy));
+
+ gamma222 = khalf*(gInv21*(-PDstandard4th1gyy + 2*PDstandard4th2gxy) + gInv22*PDstandard4th2gyy +
+ gInv23*(2*PDstandard4th2gyz - PDstandard4th3gyy));
+
+ gamma322 = khalf*(gInv31*(-PDstandard4th1gyy + 2*PDstandard4th2gxy) + gInv32*PDstandard4th2gyy +
+ gInv33*(2*PDstandard4th2gyz - PDstandard4th3gyy));
+
+ gamma132 = khalf*(gInv13*PDstandard4th2gzz + gInv11*(-PDstandard4th1gyz + PDstandard4th2gxz + PDstandard4th3gxy) +
+ gInv12*PDstandard4th3gyy);
+
+ gamma232 = khalf*(gInv23*PDstandard4th2gzz + gInv21*(-PDstandard4th1gyz + PDstandard4th2gxz + PDstandard4th3gxy) +
+ gInv22*PDstandard4th3gyy);
+
+ gamma332 = khalf*(gInv33*PDstandard4th2gzz + gInv31*(-PDstandard4th1gyz + PDstandard4th2gxz + PDstandard4th3gxy) +
+ gInv32*PDstandard4th3gyy);
+
+ gamma133 = khalf*(-(gInv11*PDstandard4th1gzz) - gInv12*PDstandard4th2gzz + 2*gInv11*PDstandard4th3gxz +
+ 2*gInv12*PDstandard4th3gyz + gInv13*PDstandard4th3gzz);
+
+ gamma233 = khalf*(-(gInv21*PDstandard4th1gzz) - gInv22*PDstandard4th2gzz + 2*gInv21*PDstandard4th3gxz +
+ 2*gInv22*PDstandard4th3gyz + gInv23*PDstandard4th3gzz);
+
+ gamma333 = khalf*(-(gInv31*PDstandard4th1gzz) - gInv32*PDstandard4th2gzz + 2*gInv31*PDstandard4th3gxz +
+ 2*gInv32*PDstandard4th3gyz + gInv33*PDstandard4th3gzz);
+
+ xmoved = xL - xorig;
+
+ ymoved = yL - yorig;
+
+ zmoved = zL - zorig;
+
+ va1 = -ymoved;
+
+ va2 = offset + xmoved;
+
+ va3 = 0;
+
+ vb1 = offset + xmoved;
+
+ vb2 = ymoved;
+
+ vb3 = zmoved;
+
+ vc1 = ((-(gInv13*va2) + gInv12*va3)*vb1 + (gInv13*va1 - gInv11*va3)*vb2 + (-(gInv12*va1) + gInv11*va2)*vb3)*
+ pow(detg,0.5);
+
+ vc2 = ((-(gInv23*va2) + gInv22*va3)*vb1 + (gInv23*va1 - gInv21*va3)*vb2 + (-(gInv22*va1) + gInv21*va2)*vb3)*
+ pow(detg,0.5);
+
+ vc3 = ((-(gInv33*va2) + gInv32*va3)*vb1 + (gInv33*va1 - gInv31*va3)*vb2 + (-(gInv32*va1) + gInv31*va2)*vb3)*
+ pow(detg,0.5);
+
+ omega11 = 2*(gyzL*va2*va3 + va1*(gxyL*va2 + gxzL*va3)) + gxxL*SQR(va1) + gyyL*SQR(va2) + gzzL*SQR(va3);
+
+ va1 = va1*pow(omega11,-khalf);
+
+ va2 = va2*pow(omega11,-khalf);
+
+ va3 = va3*pow(omega11,-khalf);
+
+ omega12 = (gxxL*va1 + gxyL*va2 + gxzL*va3)*vb1 + (gxyL*va1 + gyyL*va2 + gyzL*va3)*vb2 +
+ (gxzL*va1 + gyzL*va2 + gzzL*va3)*vb3;
+
+ vb1 = -(omega12*va1) + vb1;
+
+ vb2 = -(omega12*va2) + vb2;
+
+ vb3 = -(omega12*va3) + vb3;
+
+ omega22 = 2*(gyzL*vb2*vb3 + vb1*(gxyL*vb2 + gxzL*vb3)) + gxxL*SQR(vb1) + gyyL*SQR(vb2) + gzzL*SQR(vb3);
+
+ vb1 = vb1*pow(omega22,-khalf);
+
+ vb2 = vb2*pow(omega22,-khalf);
+
+ vb3 = vb3*pow(omega22,-khalf);
+
+ omega13 = (gxxL*va1 + gxyL*va2 + gxzL*va3)*vc1 + (gxyL*va1 + gyyL*va2 + gyzL*va3)*vc2 +
+ (gxzL*va1 + gyzL*va2 + gzzL*va3)*vc3;
+
+ omega23 = (gxxL*vb1 + gxyL*vb2 + gxzL*vb3)*vc1 + (gxyL*vb1 + gyyL*vb2 + gyzL*vb3)*vc2 +
+ (gxzL*vb1 + gyzL*vb2 + gzzL*vb3)*vc3;
+
+ vc1 = -(omega13*va1) - omega23*vb1 + vc1;
+
+ vc2 = -(omega13*va2) - omega23*vb2 + vc2;
+
+ vc3 = -(omega13*va3) - omega23*vb3 + vc3;
+
+ omega33 = 2*(gyzL*vc2*vc3 + vc1*(gxyL*vc2 + gxzL*vc3)) + gxxL*SQR(vc1) + gyyL*SQR(vc2) + gzzL*SQR(vc3);
+
+ vc1 = vc1*pow(omega33,-khalf);
+
+ vc2 = vc2*pow(omega33,-khalf);
+
+ vc3 = vc3*pow(omega33,-khalf);
+
+ isqrt2 = 0.707106781186547524;
+
+ n1 = -(isqrt2*vb1);
+
+ n2 = -(isqrt2*vb2);
+
+ n3 = -(isqrt2*vb3);
+
+ rm1 = isqrt2*vc1;
+
+ rm2 = isqrt2*vc2;
+
+ rm3 = isqrt2*vc3;
+
+ im1 = isqrt2*va1;
+
+ im2 = isqrt2*va2;
+
+ im3 = isqrt2*va3;
+
+ rmbar1 = isqrt2*vc1;
+
+ rmbar2 = isqrt2*vc2;
+
+ rmbar3 = isqrt2*vc3;
+
+ imbar1 = -(isqrt2*va1);
+
+ imbar2 = -(isqrt2*va2);
+
+ imbar3 = -(isqrt2*va3);
+
+ nn = isqrt2;
+
+ R1111 = 0;
+
+ R1112 = 0;
+
+ R1113 = 0;
+
+ R1121 = 0;
+
+ R1122 = 0;
+
+ R1123 = 0;
+
+ R1131 = 0;
+
+ R1132 = 0;
+
+ R1133 = 0;
+
+ R1211 = 0;
+
+ R1212 = khalf*((4*gamma121*gamma221 - 2*gamma111*gamma222)*gxyL + (4*gamma121*gamma321 - 2*gamma111*gamma322)*gxzL +
+ (4*gamma221*gamma321 - 2*gamma211*gamma322)*gyzL -
+ 2*(gamma111*gamma122*gxxL + gamma122*gamma211*gxyL + gamma122*gamma311*gxzL + gamma211*gamma222*gyyL +
+ gamma222*gamma311*gyzL + gamma311*gamma322*gzzL) - PDstandard4th11gyy + 2*PDstandard4th12gxy -
+ PDstandard4th22gxx + 2*gxxL*SQR(gamma121) + 2*gyyL*SQR(gamma221) + 2*gzzL*SQR(gamma321));
+
+ R1213 = (gamma121*gamma131 - gamma111*gamma132)*gxxL +
+ (-(gamma132*gamma211) + gamma131*gamma221 + gamma121*gamma231 - gamma111*gamma232)*gxyL +
+ (-(gamma132*gamma311) + gamma131*gamma321 + gamma121*gamma331 - gamma111*gamma332)*gxzL +
+ (gamma221*gamma231 - gamma211*gamma232)*gyyL +
+ (-(gamma232*gamma311) + gamma231*gamma321 + gamma221*gamma331 - gamma211*gamma332)*gyzL +
+ (gamma321*gamma331 - gamma311*gamma332)*gzzL +
+ khalf*(-PDstandard4th11gyz + PDstandard4th12gxz + PDstandard4th13gxy - PDstandard4th23gxx);
+
+ R1221 = (-2*gamma121*gamma221 + gamma111*gamma222)*gxyL + (-2*gamma121*gamma321 + gamma111*gamma322)*gxzL +
+ gamma122*(gamma111*gxxL + gamma211*gxyL + gamma311*gxzL) + (-2*gamma221*gamma321 + gamma211*gamma322)*gyzL +
+ gamma222*(gamma211*gyyL + gamma311*gyzL) - PDstandard4th12gxy + khalf*(PDstandard4th11gyy + PDstandard4th22gxx) -
+ gxxL*SQR(gamma121) - gyyL*SQR(gamma221) + gzzL*(gamma311*gamma322 - SQR(gamma321));
+
+ R1222 = 0;
+
+ R1223 = (gamma122*gamma131 - gamma121*gamma132)*gxxL +
+ (-(gamma132*gamma221) + gamma131*gamma222 + gamma122*gamma231 - gamma121*gamma232)*gxyL +
+ (-(gamma132*gamma321) + gamma131*gamma322 + gamma122*gamma331 - gamma121*gamma332)*gxzL +
+ (gamma222*gamma231 - gamma221*gamma232)*gyyL +
+ (-(gamma232*gamma321) + gamma231*gamma322 + gamma222*gamma331 - gamma221*gamma332)*gyzL +
+ (gamma322*gamma331 - gamma321*gamma332)*gzzL +
+ khalf*(-PDstandard4th12gyz + PDstandard4th13gyy + PDstandard4th22gxz - PDstandard4th23gxy);
+
+ R1231 = (-(gamma121*gamma131) + gamma111*gamma132)*gxxL +
+ (gamma132*gamma211 - gamma131*gamma221 - gamma121*gamma231 + gamma111*gamma232)*gxyL +
+ (gamma132*gamma311 - gamma131*gamma321 - gamma121*gamma331 + gamma111*gamma332)*gxzL +
+ (-(gamma221*gamma231) + gamma211*gamma232)*gyyL +
+ (gamma232*gamma311 - gamma231*gamma321 - gamma221*gamma331 + gamma211*gamma332)*gyzL +
+ (-(gamma321*gamma331) + gamma311*gamma332)*gzzL +
+ khalf*(PDstandard4th11gyz - PDstandard4th12gxz - PDstandard4th13gxy + PDstandard4th23gxx);
+
+ R1232 = (-(gamma122*gamma131) + gamma121*gamma132)*gxxL +
+ (gamma132*gamma221 - gamma131*gamma222 - gamma122*gamma231 + gamma121*gamma232)*gxyL +
+ (gamma132*gamma321 - gamma131*gamma322 - gamma122*gamma331 + gamma121*gamma332)*gxzL +
+ (-(gamma222*gamma231) + gamma221*gamma232)*gyyL +
+ (gamma232*gamma321 - gamma231*gamma322 - gamma222*gamma331 + gamma221*gamma332)*gyzL +
+ (-(gamma322*gamma331) + gamma321*gamma332)*gzzL +
+ khalf*(PDstandard4th12gyz - PDstandard4th13gyy - PDstandard4th22gxz + PDstandard4th23gxy);
+
+ R1233 = 0;
+
+ R1311 = 0;
+
+ R1312 = (gamma121*gamma131 - gamma111*gamma132)*gxxL +
+ (-(gamma132*gamma211) + gamma131*gamma221 + gamma121*gamma231 - gamma111*gamma232)*gxyL +
+ (-(gamma132*gamma311) + gamma131*gamma321 + gamma121*gamma331 - gamma111*gamma332)*gxzL +
+ (gamma221*gamma231 - gamma211*gamma232)*gyyL +
+ (-(gamma232*gamma311) + gamma231*gamma321 + gamma221*gamma331 - gamma211*gamma332)*gyzL +
+ (gamma321*gamma331 - gamma311*gamma332)*gzzL +
+ khalf*(-PDstandard4th11gyz + PDstandard4th12gxz + PDstandard4th13gxy - PDstandard4th23gxx);
+
+ R1313 = khalf*((4*gamma131*gamma231 - 2*gamma111*gamma233)*gxyL + (4*gamma131*gamma331 - 2*gamma111*gamma333)*gxzL +
+ (4*gamma231*gamma331 - 2*gamma211*gamma333)*gyzL -
+ 2*(gamma111*gamma133*gxxL + gamma133*gamma211*gxyL + gamma133*gamma311*gxzL + gamma211*gamma233*gyyL +
+ gamma233*gamma311*gyzL + gamma311*gamma333*gzzL) - PDstandard4th11gzz + 2*PDstandard4th13gxz -
+ PDstandard4th33gxx + 2*gxxL*SQR(gamma131) + 2*gyyL*SQR(gamma231) + 2*gzzL*SQR(gamma331));
+
+ R1321 = (-(gamma121*gamma131) + gamma111*gamma132)*gxxL +
+ (gamma132*gamma211 - gamma131*gamma221 - gamma121*gamma231 + gamma111*gamma232)*gxyL +
+ (gamma132*gamma311 - gamma131*gamma321 - gamma121*gamma331 + gamma111*gamma332)*gxzL +
+ (-(gamma221*gamma231) + gamma211*gamma232)*gyyL +
+ (gamma232*gamma311 - gamma231*gamma321 - gamma221*gamma331 + gamma211*gamma332)*gyzL +
+ (-(gamma321*gamma331) + gamma311*gamma332)*gzzL +
+ khalf*(PDstandard4th11gyz - PDstandard4th12gxz - PDstandard4th13gxy + PDstandard4th23gxx);
+
+ R1322 = 0;
+
+ R1323 = (gamma131*gamma132 - gamma121*gamma133)*gxxL +
+ (-(gamma133*gamma221) + gamma132*gamma231 + gamma131*gamma232 - gamma121*gamma233)*gxyL +
+ (-(gamma133*gamma321) + gamma132*gamma331 + gamma131*gamma332 - gamma121*gamma333)*gxzL +
+ (gamma231*gamma232 - gamma221*gamma233)*gyyL +
+ (-(gamma233*gamma321) + gamma232*gamma331 + gamma231*gamma332 - gamma221*gamma333)*gyzL +
+ (gamma331*gamma332 - gamma321*gamma333)*gzzL +
+ khalf*(-PDstandard4th12gzz + PDstandard4th13gyz + PDstandard4th23gxz - PDstandard4th33gxy);
+
+ R1331 = (-2*gamma131*gamma231 + gamma111*gamma233)*gxyL + (-2*gamma131*gamma331 + gamma111*gamma333)*gxzL +
+ gamma133*(gamma111*gxxL + gamma211*gxyL + gamma311*gxzL) + (-2*gamma231*gamma331 + gamma211*gamma333)*gyzL +
+ gamma233*(gamma211*gyyL + gamma311*gyzL) - PDstandard4th13gxz + khalf*(PDstandard4th11gzz + PDstandard4th33gxx) -
+ gxxL*SQR(gamma131) - gyyL*SQR(gamma231) + gzzL*(gamma311*gamma333 - SQR(gamma331));
+
+ R1332 = (-(gamma131*gamma132) + gamma121*gamma133)*gxxL +
+ (gamma133*gamma221 - gamma132*gamma231 - gamma131*gamma232 + gamma121*gamma233)*gxyL +
+ (gamma133*gamma321 - gamma132*gamma331 - gamma131*gamma332 + gamma121*gamma333)*gxzL +
+ (-(gamma231*gamma232) + gamma221*gamma233)*gyyL +
+ (gamma233*gamma321 - gamma232*gamma331 - gamma231*gamma332 + gamma221*gamma333)*gyzL +
+ (-(gamma331*gamma332) + gamma321*gamma333)*gzzL +
+ khalf*(PDstandard4th12gzz - PDstandard4th13gyz - PDstandard4th23gxz + PDstandard4th33gxy);
+
+ R1333 = 0;
+
+ R2111 = 0;
+
+ R2112 = (-2*gamma121*gamma221 + gamma111*gamma222)*gxyL + (-2*gamma121*gamma321 + gamma111*gamma322)*gxzL +
+ gamma122*(gamma111*gxxL + gamma211*gxyL + gamma311*gxzL) + (-2*gamma221*gamma321 + gamma211*gamma322)*gyzL +
+ gamma222*(gamma211*gyyL + gamma311*gyzL) - PDstandard4th12gxy + khalf*(PDstandard4th11gyy + PDstandard4th22gxx) -
+ gxxL*SQR(gamma121) - gyyL*SQR(gamma221) + gzzL*(gamma311*gamma322 - SQR(gamma321));
+
+ R2113 = (-(gamma121*gamma131) + gamma111*gamma132)*gxxL +
+ (gamma132*gamma211 - gamma131*gamma221 - gamma121*gamma231 + gamma111*gamma232)*gxyL +
+ (gamma132*gamma311 - gamma131*gamma321 - gamma121*gamma331 + gamma111*gamma332)*gxzL +
+ (-(gamma221*gamma231) + gamma211*gamma232)*gyyL +
+ (gamma232*gamma311 - gamma231*gamma321 - gamma221*gamma331 + gamma211*gamma332)*gyzL +
+ (-(gamma321*gamma331) + gamma311*gamma332)*gzzL +
+ khalf*(PDstandard4th11gyz - PDstandard4th12gxz - PDstandard4th13gxy + PDstandard4th23gxx);
+
+ R2121 = khalf*((4*gamma121*gamma221 - 2*gamma111*gamma222)*gxyL + (4*gamma121*gamma321 - 2*gamma111*gamma322)*gxzL +
+ (4*gamma221*gamma321 - 2*gamma211*gamma322)*gyzL -
+ 2*(gamma111*gamma122*gxxL + gamma122*gamma211*gxyL + gamma122*gamma311*gxzL + gamma211*gamma222*gyyL +
+ gamma222*gamma311*gyzL + gamma311*gamma322*gzzL) - PDstandard4th11gyy + 2*PDstandard4th12gxy -
+ PDstandard4th22gxx + 2*gxxL*SQR(gamma121) + 2*gyyL*SQR(gamma221) + 2*gzzL*SQR(gamma321));
+
+ R2122 = 0;
+
+ R2123 = (-(gamma122*gamma131) + gamma121*gamma132)*gxxL +
+ (gamma132*gamma221 - gamma131*gamma222 - gamma122*gamma231 + gamma121*gamma232)*gxyL +
+ (gamma132*gamma321 - gamma131*gamma322 - gamma122*gamma331 + gamma121*gamma332)*gxzL +
+ (-(gamma222*gamma231) + gamma221*gamma232)*gyyL +
+ (gamma232*gamma321 - gamma231*gamma322 - gamma222*gamma331 + gamma221*gamma332)*gyzL +
+ (-(gamma322*gamma331) + gamma321*gamma332)*gzzL +
+ khalf*(PDstandard4th12gyz - PDstandard4th13gyy - PDstandard4th22gxz + PDstandard4th23gxy);
+
+ R2131 = (gamma121*gamma131 - gamma111*gamma132)*gxxL +
+ (-(gamma132*gamma211) + gamma131*gamma221 + gamma121*gamma231 - gamma111*gamma232)*gxyL +
+ (-(gamma132*gamma311) + gamma131*gamma321 + gamma121*gamma331 - gamma111*gamma332)*gxzL +
+ (gamma221*gamma231 - gamma211*gamma232)*gyyL +
+ (-(gamma232*gamma311) + gamma231*gamma321 + gamma221*gamma331 - gamma211*gamma332)*gyzL +
+ (gamma321*gamma331 - gamma311*gamma332)*gzzL +
+ khalf*(-PDstandard4th11gyz + PDstandard4th12gxz + PDstandard4th13gxy - PDstandard4th23gxx);
+
+ R2132 = (gamma122*gamma131 - gamma121*gamma132)*gxxL +
+ (-(gamma132*gamma221) + gamma131*gamma222 + gamma122*gamma231 - gamma121*gamma232)*gxyL +
+ (-(gamma132*gamma321) + gamma131*gamma322 + gamma122*gamma331 - gamma121*gamma332)*gxzL +
+ (gamma222*gamma231 - gamma221*gamma232)*gyyL +
+ (-(gamma232*gamma321) + gamma231*gamma322 + gamma222*gamma331 - gamma221*gamma332)*gyzL +
+ (gamma322*gamma331 - gamma321*gamma332)*gzzL +
+ khalf*(-PDstandard4th12gyz + PDstandard4th13gyy + PDstandard4th22gxz - PDstandard4th23gxy);
+
+ R2133 = 0;
+
+ R2211 = 0;
+
+ R2212 = 0;
+
+ R2213 = 0;
+
+ R2221 = 0;
+
+ R2222 = 0;
+
+ R2223 = 0;
+
+ R2231 = 0;
+
+ R2232 = 0;
+
+ R2233 = 0;
+
+ R2311 = 0;
+
+ R2312 = (gamma122*gamma131 - gamma121*gamma132)*gxxL +
+ (-(gamma132*gamma221) + gamma131*gamma222 + gamma122*gamma231 - gamma121*gamma232)*gxyL +
+ (-(gamma132*gamma321) + gamma131*gamma322 + gamma122*gamma331 - gamma121*gamma332)*gxzL +
+ (gamma222*gamma231 - gamma221*gamma232)*gyyL +
+ (-(gamma232*gamma321) + gamma231*gamma322 + gamma222*gamma331 - gamma221*gamma332)*gyzL +
+ (gamma322*gamma331 - gamma321*gamma332)*gzzL +
+ khalf*(-PDstandard4th12gyz + PDstandard4th13gyy + PDstandard4th22gxz - PDstandard4th23gxy);
+
+ R2313 = (gamma131*gamma132 - gamma121*gamma133)*gxxL +
+ (-(gamma133*gamma221) + gamma132*gamma231 + gamma131*gamma232 - gamma121*gamma233)*gxyL +
+ (-(gamma133*gamma321) + gamma132*gamma331 + gamma131*gamma332 - gamma121*gamma333)*gxzL +
+ (gamma231*gamma232 - gamma221*gamma233)*gyyL +
+ (-(gamma233*gamma321) + gamma232*gamma331 + gamma231*gamma332 - gamma221*gamma333)*gyzL +
+ (gamma331*gamma332 - gamma321*gamma333)*gzzL +
+ khalf*(-PDstandard4th12gzz + PDstandard4th13gyz + PDstandard4th23gxz - PDstandard4th33gxy);
+
+ R2321 = (-(gamma122*gamma131) + gamma121*gamma132)*gxxL +
+ (gamma132*gamma221 - gamma131*gamma222 - gamma122*gamma231 + gamma121*gamma232)*gxyL +
+ (gamma132*gamma321 - gamma131*gamma322 - gamma122*gamma331 + gamma121*gamma332)*gxzL +
+ (-(gamma222*gamma231) + gamma221*gamma232)*gyyL +
+ (gamma232*gamma321 - gamma231*gamma322 - gamma222*gamma331 + gamma221*gamma332)*gyzL +
+ (-(gamma322*gamma331) + gamma321*gamma332)*gzzL +
+ khalf*(PDstandard4th12gyz - PDstandard4th13gyy - PDstandard4th22gxz + PDstandard4th23gxy);
+
+ R2322 = 0;
+
+ R2323 = khalf*((4*gamma132*gamma232 - 2*gamma122*gamma233)*gxyL + (4*gamma132*gamma332 - 2*gamma122*gamma333)*gxzL +
+ (4*gamma232*gamma332 - 2*gamma222*gamma333)*gyzL -
+ 2*(gamma122*gamma133*gxxL + gamma133*gamma222*gxyL + gamma133*gamma322*gxzL + gamma222*gamma233*gyyL +
+ gamma233*gamma322*gyzL + gamma322*gamma333*gzzL) - PDstandard4th22gzz + 2*PDstandard4th23gyz -
+ PDstandard4th33gyy + 2*gxxL*SQR(gamma132) + 2*gyyL*SQR(gamma232) + 2*gzzL*SQR(gamma332));
+
+ R2331 = (-(gamma131*gamma132) + gamma121*gamma133)*gxxL +
+ (gamma133*gamma221 - gamma132*gamma231 - gamma131*gamma232 + gamma121*gamma233)*gxyL +
+ (gamma133*gamma321 - gamma132*gamma331 - gamma131*gamma332 + gamma121*gamma333)*gxzL +
+ (-(gamma231*gamma232) + gamma221*gamma233)*gyyL +
+ (gamma233*gamma321 - gamma232*gamma331 - gamma231*gamma332 + gamma221*gamma333)*gyzL +
+ (-(gamma331*gamma332) + gamma321*gamma333)*gzzL +
+ khalf*(PDstandard4th12gzz - PDstandard4th13gyz - PDstandard4th23gxz + PDstandard4th33gxy);
+
+ R2332 = (-2*gamma132*gamma232 + gamma122*gamma233)*gxyL + (-2*gamma132*gamma332 + gamma122*gamma333)*gxzL +
+ gamma133*(gamma122*gxxL + gamma222*gxyL + gamma322*gxzL) + (-2*gamma232*gamma332 + gamma222*gamma333)*gyzL +
+ gamma233*(gamma222*gyyL + gamma322*gyzL) - PDstandard4th23gyz + khalf*(PDstandard4th22gzz + PDstandard4th33gyy) -
+ gxxL*SQR(gamma132) - gyyL*SQR(gamma232) + gzzL*(gamma322*gamma333 - SQR(gamma332));
+
+ R2333 = 0;
+
+ R3111 = 0;
+
+ R3112 = (-(gamma121*gamma131) + gamma111*gamma132)*gxxL +
+ (gamma132*gamma211 - gamma131*gamma221 - gamma121*gamma231 + gamma111*gamma232)*gxyL +
+ (gamma132*gamma311 - gamma131*gamma321 - gamma121*gamma331 + gamma111*gamma332)*gxzL +
+ (-(gamma221*gamma231) + gamma211*gamma232)*gyyL +
+ (gamma232*gamma311 - gamma231*gamma321 - gamma221*gamma331 + gamma211*gamma332)*gyzL +
+ (-(gamma321*gamma331) + gamma311*gamma332)*gzzL +
+ khalf*(PDstandard4th11gyz - PDstandard4th12gxz - PDstandard4th13gxy + PDstandard4th23gxx);
+
+ R3113 = (-2*gamma131*gamma231 + gamma111*gamma233)*gxyL + (-2*gamma131*gamma331 + gamma111*gamma333)*gxzL +
+ gamma133*(gamma111*gxxL + gamma211*gxyL + gamma311*gxzL) + (-2*gamma231*gamma331 + gamma211*gamma333)*gyzL +
+ gamma233*(gamma211*gyyL + gamma311*gyzL) - PDstandard4th13gxz + khalf*(PDstandard4th11gzz + PDstandard4th33gxx) -
+ gxxL*SQR(gamma131) - gyyL*SQR(gamma231) + gzzL*(gamma311*gamma333 - SQR(gamma331));
+
+ R3121 = (gamma121*gamma131 - gamma111*gamma132)*gxxL +
+ (-(gamma132*gamma211) + gamma131*gamma221 + gamma121*gamma231 - gamma111*gamma232)*gxyL +
+ (-(gamma132*gamma311) + gamma131*gamma321 + gamma121*gamma331 - gamma111*gamma332)*gxzL +
+ (gamma221*gamma231 - gamma211*gamma232)*gyyL +
+ (-(gamma232*gamma311) + gamma231*gamma321 + gamma221*gamma331 - gamma211*gamma332)*gyzL +
+ (gamma321*gamma331 - gamma311*gamma332)*gzzL +
+ khalf*(-PDstandard4th11gyz + PDstandard4th12gxz + PDstandard4th13gxy - PDstandard4th23gxx);
+
+ R3122 = 0;
+
+ R3123 = (-(gamma131*gamma132) + gamma121*gamma133)*gxxL +
+ (gamma133*gamma221 - gamma132*gamma231 - gamma131*gamma232 + gamma121*gamma233)*gxyL +
+ (gamma133*gamma321 - gamma132*gamma331 - gamma131*gamma332 + gamma121*gamma333)*gxzL +
+ (-(gamma231*gamma232) + gamma221*gamma233)*gyyL +
+ (gamma233*gamma321 - gamma232*gamma331 - gamma231*gamma332 + gamma221*gamma333)*gyzL +
+ (-(gamma331*gamma332) + gamma321*gamma333)*gzzL +
+ khalf*(PDstandard4th12gzz - PDstandard4th13gyz - PDstandard4th23gxz + PDstandard4th33gxy);
+
+ R3131 = khalf*((4*gamma131*gamma231 - 2*gamma111*gamma233)*gxyL + (4*gamma131*gamma331 - 2*gamma111*gamma333)*gxzL +
+ (4*gamma231*gamma331 - 2*gamma211*gamma333)*gyzL -
+ 2*(gamma111*gamma133*gxxL + gamma133*gamma211*gxyL + gamma133*gamma311*gxzL + gamma211*gamma233*gyyL +
+ gamma233*gamma311*gyzL + gamma311*gamma333*gzzL) - PDstandard4th11gzz + 2*PDstandard4th13gxz -
+ PDstandard4th33gxx + 2*gxxL*SQR(gamma131) + 2*gyyL*SQR(gamma231) + 2*gzzL*SQR(gamma331));
+
+ R3132 = (gamma131*gamma132 - gamma121*gamma133)*gxxL +
+ (-(gamma133*gamma221) + gamma132*gamma231 + gamma131*gamma232 - gamma121*gamma233)*gxyL +
+ (-(gamma133*gamma321) + gamma132*gamma331 + gamma131*gamma332 - gamma121*gamma333)*gxzL +
+ (gamma231*gamma232 - gamma221*gamma233)*gyyL +
+ (-(gamma233*gamma321) + gamma232*gamma331 + gamma231*gamma332 - gamma221*gamma333)*gyzL +
+ (gamma331*gamma332 - gamma321*gamma333)*gzzL +
+ khalf*(-PDstandard4th12gzz + PDstandard4th13gyz + PDstandard4th23gxz - PDstandard4th33gxy);
+
+ R3133 = 0;
+
+ R3211 = 0;
+
+ R3212 = (-(gamma122*gamma131) + gamma121*gamma132)*gxxL +
+ (gamma132*gamma221 - gamma131*gamma222 - gamma122*gamma231 + gamma121*gamma232)*gxyL +
+ (gamma132*gamma321 - gamma131*gamma322 - gamma122*gamma331 + gamma121*gamma332)*gxzL +
+ (-(gamma222*gamma231) + gamma221*gamma232)*gyyL +
+ (gamma232*gamma321 - gamma231*gamma322 - gamma222*gamma331 + gamma221*gamma332)*gyzL +
+ (-(gamma322*gamma331) + gamma321*gamma332)*gzzL +
+ khalf*(PDstandard4th12gyz - PDstandard4th13gyy - PDstandard4th22gxz + PDstandard4th23gxy);
+
+ R3213 = (-(gamma131*gamma132) + gamma121*gamma133)*gxxL +
+ (gamma133*gamma221 - gamma132*gamma231 - gamma131*gamma232 + gamma121*gamma233)*gxyL +
+ (gamma133*gamma321 - gamma132*gamma331 - gamma131*gamma332 + gamma121*gamma333)*gxzL +
+ (-(gamma231*gamma232) + gamma221*gamma233)*gyyL +
+ (gamma233*gamma321 - gamma232*gamma331 - gamma231*gamma332 + gamma221*gamma333)*gyzL +
+ (-(gamma331*gamma332) + gamma321*gamma333)*gzzL +
+ khalf*(PDstandard4th12gzz - PDstandard4th13gyz - PDstandard4th23gxz + PDstandard4th33gxy);
+
+ R3221 = (gamma122*gamma131 - gamma121*gamma132)*gxxL +
+ (-(gamma132*gamma221) + gamma131*gamma222 + gamma122*gamma231 - gamma121*gamma232)*gxyL +
+ (-(gamma132*gamma321) + gamma131*gamma322 + gamma122*gamma331 - gamma121*gamma332)*gxzL +
+ (gamma222*gamma231 - gamma221*gamma232)*gyyL +
+ (-(gamma232*gamma321) + gamma231*gamma322 + gamma222*gamma331 - gamma221*gamma332)*gyzL +
+ (gamma322*gamma331 - gamma321*gamma332)*gzzL +
+ khalf*(-PDstandard4th12gyz + PDstandard4th13gyy + PDstandard4th22gxz - PDstandard4th23gxy);
+
+ R3222 = 0;
+
+ R3223 = (-2*gamma132*gamma232 + gamma122*gamma233)*gxyL + (-2*gamma132*gamma332 + gamma122*gamma333)*gxzL +
+ gamma133*(gamma122*gxxL + gamma222*gxyL + gamma322*gxzL) + (-2*gamma232*gamma332 + gamma222*gamma333)*gyzL +
+ gamma233*(gamma222*gyyL + gamma322*gyzL) - PDstandard4th23gyz + khalf*(PDstandard4th22gzz + PDstandard4th33gyy) -
+ gxxL*SQR(gamma132) - gyyL*SQR(gamma232) + gzzL*(gamma322*gamma333 - SQR(gamma332));
+
+ R3231 = (gamma131*gamma132 - gamma121*gamma133)*gxxL +
+ (-(gamma133*gamma221) + gamma132*gamma231 + gamma131*gamma232 - gamma121*gamma233)*gxyL +
+ (-(gamma133*gamma321) + gamma132*gamma331 + gamma131*gamma332 - gamma121*gamma333)*gxzL +
+ (gamma231*gamma232 - gamma221*gamma233)*gyyL +
+ (-(gamma233*gamma321) + gamma232*gamma331 + gamma231*gamma332 - gamma221*gamma333)*gyzL +
+ (gamma331*gamma332 - gamma321*gamma333)*gzzL +
+ khalf*(-PDstandard4th12gzz + PDstandard4th13gyz + PDstandard4th23gxz - PDstandard4th33gxy);
+
+ R3232 = khalf*((4*gamma132*gamma232 - 2*gamma122*gamma233)*gxyL + (4*gamma132*gamma332 - 2*gamma122*gamma333)*gxzL +
+ (4*gamma232*gamma332 - 2*gamma222*gamma333)*gyzL -
+ 2*(gamma122*gamma133*gxxL + gamma133*gamma222*gxyL + gamma133*gamma322*gxzL + gamma222*gamma233*gyyL +
+ gamma233*gamma322*gyzL + gamma322*gamma333*gzzL) - PDstandard4th22gzz + 2*PDstandard4th23gyz -
+ PDstandard4th33gyy + 2*gxxL*SQR(gamma132) + 2*gyyL*SQR(gamma232) + 2*gzzL*SQR(gamma332));
+
+ R3233 = 0;
+
+ R3311 = 0;
+
+ R3312 = 0;
+
+ R3313 = 0;
+
+ R3321 = 0;
+
+ R3322 = 0;
+
+ R3323 = 0;
+
+ R3331 = 0;
+
+ R3332 = 0;
+
+ R3333 = 0;
+
+ R4p1111 = R1111;
+
+ R4p1112 = R1112;
+
+ R4p1113 = R1113;
+
+ R4p1121 = R1121;
+
+ R4p1122 = R1122;
+
+ R4p1123 = R1123;
+
+ R4p1131 = R1131;
+
+ R4p1132 = R1132;
+
+ R4p1133 = R1133;
+
+ R4p1211 = R1211;
+
+ R4p1212 = kxxL*kyyL + R1212 - SQR(kxyL);
+
+ R4p1213 = -(kxyL*kxzL) + kxxL*kyzL + R1213;
+
+ R4p1221 = -(kxxL*kyyL) + R1221 + SQR(kxyL);
+
+ R4p1222 = R1222;
+
+ R4p1223 = -(kxzL*kyyL) + kxyL*kyzL + R1223;
+
+ R4p1231 = kxyL*kxzL - kxxL*kyzL + R1231;
+
+ R4p1232 = kxzL*kyyL - kxyL*kyzL + R1232;
+
+ R4p1233 = R1233;
+
+ R4p1311 = R1311;
+
+ R4p1312 = -(kxyL*kxzL) + kxxL*kyzL + R1312;
+
+ R4p1313 = kxxL*kzzL + R1313 - SQR(kxzL);
+
+ R4p1321 = kxyL*kxzL - kxxL*kyzL + R1321;
+
+ R4p1322 = R1322;
+
+ R4p1323 = -(kxzL*kyzL) + kxyL*kzzL + R1323;
+
+ R4p1331 = -(kxxL*kzzL) + R1331 + SQR(kxzL);
+
+ R4p1332 = kxzL*kyzL - kxyL*kzzL + R1332;
+
+ R4p1333 = R1333;
+
+ R4p2111 = R2111;
+
+ R4p2112 = -(kxxL*kyyL) + R2112 + SQR(kxyL);
+
+ R4p2113 = kxyL*kxzL - kxxL*kyzL + R2113;
+
+ R4p2121 = kxxL*kyyL + R2121 - SQR(kxyL);
+
+ R4p2122 = R2122;
+
+ R4p2123 = kxzL*kyyL - kxyL*kyzL + R2123;
+
+ R4p2131 = -(kxyL*kxzL) + kxxL*kyzL + R2131;
+
+ R4p2132 = -(kxzL*kyyL) + kxyL*kyzL + R2132;
+
+ R4p2133 = R2133;
+
+ R4p2211 = R2211;
+
+ R4p2212 = R2212;
+
+ R4p2213 = R2213;
+
+ R4p2221 = R2221;
+
+ R4p2222 = R2222;
+
+ R4p2223 = R2223;
+
+ R4p2231 = R2231;
+
+ R4p2232 = R2232;
+
+ R4p2233 = R2233;
+
+ R4p2311 = R2311;
+
+ R4p2312 = -(kxzL*kyyL) + kxyL*kyzL + R2312;
+
+ R4p2313 = -(kxzL*kyzL) + kxyL*kzzL + R2313;
+
+ R4p2321 = kxzL*kyyL - kxyL*kyzL + R2321;
+
+ R4p2322 = R2322;
+
+ R4p2323 = kyyL*kzzL + R2323 - SQR(kyzL);
+
+ R4p2331 = kxzL*kyzL - kxyL*kzzL + R2331;
+
+ R4p2332 = -(kyyL*kzzL) + R2332 + SQR(kyzL);
+
+ R4p2333 = R2333;
+
+ R4p3111 = R3111;
+
+ R4p3112 = kxyL*kxzL - kxxL*kyzL + R3112;
+
+ R4p3113 = -(kxxL*kzzL) + R3113 + SQR(kxzL);
+
+ R4p3121 = -(kxyL*kxzL) + kxxL*kyzL + R3121;
+
+ R4p3122 = R3122;
+
+ R4p3123 = kxzL*kyzL - kxyL*kzzL + R3123;
+
+ R4p3131 = kxxL*kzzL + R3131 - SQR(kxzL);
+
+ R4p3132 = -(kxzL*kyzL) + kxyL*kzzL + R3132;
+
+ R4p3133 = R3133;
+
+ R4p3211 = R3211;
+
+ R4p3212 = kxzL*kyyL - kxyL*kyzL + R3212;
+
+ R4p3213 = kxzL*kyzL - kxyL*kzzL + R3213;
+
+ R4p3221 = -(kxzL*kyyL) + kxyL*kyzL + R3221;
+
+ R4p3222 = R3222;
+
+ R4p3223 = -(kyyL*kzzL) + R3223 + SQR(kyzL);
+
+ R4p3231 = -(kxzL*kyzL) + kxyL*kzzL + R3231;
+
+ R4p3232 = kyyL*kzzL + R3232 - SQR(kyzL);
+
+ R4p3233 = R3233;
+
+ R4p3311 = R3311;
+
+ R4p3312 = R3312;
+
+ R4p3313 = R3313;
+
+ R4p3321 = R3321;
+
+ R4p3322 = R3322;
+
+ R4p3323 = R3323;
+
+ R4p3331 = R3331;
+
+ R4p3332 = R3332;
+
+ R4p3333 = R3333;
+
+ Ro111 = 0;
+
+ Ro112 = gamma121*kxxL + (-gamma111 + gamma221)*kxyL + gamma321*kxzL - gamma211*kyyL - gamma311*kyzL +
+ PDstandard4th1kxy - PDstandard4th2kxx;
+
+ Ro113 = gamma131*kxxL + gamma231*kxyL + (-gamma111 + gamma331)*kxzL - gamma211*kyzL - gamma311*kzzL +
+ PDstandard4th1kxz - PDstandard4th3kxx;
+
+ Ro121 = -(gamma121*kxxL) + gamma111*kxyL - gamma221*kxyL - gamma321*kxzL + gamma211*kyyL + gamma311*kyzL -
+ PDstandard4th1kxy + PDstandard4th2kxx;
+
+ Ro122 = 0;
+
+ Ro123 = gamma131*kxyL - gamma121*kxzL + gamma231*kyyL - gamma221*kyzL + gamma331*kyzL - gamma321*kzzL +
+ PDstandard4th2kxz - PDstandard4th3kxy;
+
+ Ro131 = -(gamma131*kxxL) - gamma231*kxyL + gamma111*kxzL - gamma331*kxzL + gamma211*kyzL + gamma311*kzzL -
+ PDstandard4th1kxz + PDstandard4th3kxx;
+
+ Ro132 = -(gamma131*kxyL) + gamma121*kxzL - gamma231*kyyL + gamma221*kyzL - gamma331*kyzL + gamma321*kzzL -
+ PDstandard4th2kxz + PDstandard4th3kxy;
+
+ Ro133 = 0;
+
+ Ro211 = 0;
+
+ Ro212 = gamma122*kxxL + (-gamma121 + gamma222)*kxyL + gamma322*kxzL - gamma221*kyyL - gamma321*kyzL +
+ PDstandard4th1kyy - PDstandard4th2kxy;
+
+ Ro213 = gamma132*kxxL + gamma232*kxyL + (-gamma121 + gamma332)*kxzL - gamma221*kyzL - gamma321*kzzL +
+ PDstandard4th1kyz - PDstandard4th3kxy;
+
+ Ro221 = -(gamma122*kxxL) + gamma121*kxyL - gamma222*kxyL - gamma322*kxzL + gamma221*kyyL + gamma321*kyzL -
+ PDstandard4th1kyy + PDstandard4th2kxy;
+
+ Ro222 = 0;
+
+ Ro223 = gamma132*kxyL - gamma122*kxzL + gamma232*kyyL - gamma222*kyzL + gamma332*kyzL - gamma322*kzzL +
+ PDstandard4th2kyz - PDstandard4th3kyy;
+
+ Ro231 = -(gamma132*kxxL) - gamma232*kxyL + gamma121*kxzL - gamma332*kxzL + gamma221*kyzL + gamma321*kzzL -
+ PDstandard4th1kyz + PDstandard4th3kxy;
+
+ Ro232 = -(gamma132*kxyL) + gamma122*kxzL - gamma232*kyyL + gamma222*kyzL - gamma332*kyzL + gamma322*kzzL -
+ PDstandard4th2kyz + PDstandard4th3kyy;
+
+ Ro233 = 0;
+
+ Ro311 = 0;
+
+ Ro312 = gamma132*kxxL + (-gamma131 + gamma232)*kxyL + gamma332*kxzL - gamma231*kyyL - gamma331*kyzL +
+ PDstandard4th1kyz - PDstandard4th2kxz;
+
+ Ro313 = gamma133*kxxL + gamma233*kxyL + (-gamma131 + gamma333)*kxzL - gamma231*kyzL - gamma331*kzzL +
+ PDstandard4th1kzz - PDstandard4th3kxz;
+
+ Ro321 = -(gamma132*kxxL) + gamma131*kxyL - gamma232*kxyL - gamma332*kxzL + gamma231*kyyL + gamma331*kyzL -
+ PDstandard4th1kyz + PDstandard4th2kxz;
+
+ Ro322 = 0;
+
+ Ro323 = gamma133*kxyL - gamma132*kxzL + gamma233*kyyL - gamma232*kyzL + gamma333*kyzL - gamma332*kzzL +
+ PDstandard4th2kzz - PDstandard4th3kyz;
+
+ Ro331 = -(gamma133*kxxL) - gamma233*kxyL + gamma131*kxzL - gamma333*kxzL + gamma231*kyzL + gamma331*kzzL -
+ PDstandard4th1kzz + PDstandard4th3kxz;
+
+ Ro332 = -(gamma133*kxyL) + gamma132*kxzL - gamma233*kyyL + gamma232*kyzL - gamma333*kyzL + gamma332*kzzL -
+ PDstandard4th2kzz + PDstandard4th3kyz;
+
+ Ro333 = 0;
+
+ Rojo11 = gInv11*R1111 + gInv12*R1112 + gInv13*R1113 + gInv21*R1211 + gInv23*(-(kxyL*kxzL) + kxxL*kyzL + R1213) +
+ gInv31*R1311 + gInv32*(-(kxyL*kxzL) + kxxL*kyzL + R1312) + gInv22*(kxxL*kyyL + R1212 - SQR(kxyL)) +
+ gInv33*(kxxL*kzzL + R1313 - SQR(kxzL));
+
+ Rojo12 = gInv11*R1121 + gInv13*(kxyL*kxzL - kxxL*kyzL + R1123) + gInv21*R1221 + gInv22*R1222 + gInv23*R1223 +
+ gInv31*R1321 + gInv32*(-(kxzL*kyyL) + kxyL*kyzL + R1322) + gInv33*(-(kxzL*kyzL) + kxyL*kzzL + R1323) +
+ gInv12*(-(kxxL*kyyL) + R1122 + SQR(kxyL));
+
+ Rojo13 = gInv11*R1131 + gInv12*(kxyL*kxzL - kxxL*kyzL + R1132) + gInv21*R1231 +
+ gInv22*(kxzL*kyyL - kxyL*kyzL + R1232) + gInv23*(kxzL*kyzL - kxyL*kzzL + R1233) + gInv31*R1331 + gInv32*R1332 +
+ gInv33*R1333 + gInv13*(-(kxxL*kzzL) + R1133 + SQR(kxzL));
+
+ Rojo21 = gInv11*R2111 + gInv12*R2112 + gInv13*R2113 + gInv22*R2212 + gInv23*(-(kxzL*kyyL) + kxyL*kyzL + R2213) +
+ gInv31*(kxyL*kxzL - kxxL*kyzL + R2311) + gInv32*R2312 + gInv33*(-(kxzL*kyzL) + kxyL*kzzL + R2313) +
+ gInv21*(-(kxxL*kyyL) + R2211 + SQR(kxyL));
+
+ Rojo22 = gInv12*R2122 + gInv13*(kxzL*kyyL - kxyL*kyzL + R2123) + gInv21*R2221 + gInv22*R2222 + gInv23*R2223 +
+ gInv31*(kxzL*kyyL - kxyL*kyzL + R2321) + gInv32*R2322 + gInv11*(kxxL*kyyL + R2121 - SQR(kxyL)) +
+ gInv33*(kyyL*kzzL + R2323 - SQR(kyzL));
+
+ Rojo23 = gInv11*(-(kxyL*kxzL) + kxxL*kyzL + R2131) + gInv12*R2132 + gInv13*(kxzL*kyzL - kxyL*kzzL + R2133) +
+ gInv21*(-(kxzL*kyyL) + kxyL*kyzL + R2231) + gInv22*R2232 + gInv31*R2331 + gInv32*R2332 + gInv33*R2333 +
+ gInv23*(-(kyyL*kzzL) + R2233 + SQR(kyzL));
+
+ Rojo31 = gInv11*R3111 + gInv12*R3112 + gInv13*R3113 + gInv21*(kxyL*kxzL - kxxL*kyzL + R3211) +
+ gInv22*(kxzL*kyyL - kxyL*kyzL + R3212) + gInv23*R3213 + gInv32*(kxzL*kyzL - kxyL*kzzL + R3312) + gInv33*R3313 +
+ gInv31*(-(kxxL*kzzL) + R3311 + SQR(kxzL));
+
+ Rojo32 = gInv11*(-(kxyL*kxzL) + kxxL*kyzL + R3121) + gInv12*(-(kxzL*kyyL) + kxyL*kyzL + R3122) + gInv13*R3123 +
+ gInv21*R3221 + gInv22*R3222 + gInv23*R3223 + gInv31*(kxzL*kyzL - kxyL*kzzL + R3321) + gInv33*R3323 +
+ gInv32*(-(kyyL*kzzL) + R3322 + SQR(kyzL));
+
+ Rojo33 = gInv12*(-(kxzL*kyzL) + kxyL*kzzL + R3132) + gInv13*R3133 + gInv21*(-(kxzL*kyzL) + kxyL*kzzL + R3231) +
+ gInv23*R3233 + gInv31*R3331 + gInv32*R3332 + gInv33*R3333 + gInv11*(kxxL*kzzL + R3131 - SQR(kxzL)) +
+ gInv22*(kyyL*kzzL + R3232 - SQR(kyzL));
+
+ Psi4rL = n1*(-(imbar1*(imbar2*(n1*(R4p1112 + R4p1211) + n2*(R4p1122 + R4p1221) + n3*(R4p1132 + R4p1231)) +
+ imbar3*(n1*(R4p1113 + R4p1311) + n2*(R4p1123 + R4p1321) + n3*(R4p1133 + R4p1331)))) -
+ imbar2*imbar3*(n1*(R4p1213 + R4p1312) + n2*(R4p1223 + R4p1322) + n3*(R4p1233 + R4p1332)) +
+ n1*R4p1112*rmbar1*rmbar2 + n2*R4p1122*rmbar1*rmbar2 + n3*R4p1132*rmbar1*rmbar2 + n1*R4p1211*rmbar1*rmbar2 +
+ n2*R4p1221*rmbar1*rmbar2 + n3*R4p1231*rmbar1*rmbar2 + n1*R4p1113*rmbar1*rmbar3 + n2*R4p1123*rmbar1*rmbar3 +
+ n3*R4p1133*rmbar1*rmbar3 + n1*R4p1311*rmbar1*rmbar3 + n2*R4p1321*rmbar1*rmbar3 + n3*R4p1331*rmbar1*rmbar3 +
+ n1*R4p1213*rmbar2*rmbar3 + n2*R4p1223*rmbar2*rmbar3 + n3*R4p1233*rmbar2*rmbar3 + n1*R4p1312*rmbar2*rmbar3 +
+ n2*R4p1322*rmbar2*rmbar3 + n3*R4p1332*rmbar2*rmbar3 - (n1*R4p1111 + n2*R4p1121 + n3*R4p1131)*SQR(imbar1) -
+ (n1*R4p1212 + n2*R4p1222 + n3*R4p1232)*SQR(imbar2) - n1*R4p1313*SQR(imbar3) - n2*R4p1323*SQR(imbar3) -
+ n3*R4p1333*SQR(imbar3) + n1*R4p1111*SQR(rmbar1) + n2*R4p1121*SQR(rmbar1) + n3*R4p1131*SQR(rmbar1) +
+ n1*R4p1212*SQR(rmbar2) + n2*R4p1222*SQR(rmbar2) + n3*R4p1232*SQR(rmbar2) + n1*R4p1313*SQR(rmbar3) +
+ n2*R4p1323*SQR(rmbar3) + n3*R4p1333*SQR(rmbar3)) +
+ n2*(-(imbar1*(imbar2*(n1*(R4p2112 + R4p2211) + n2*(R4p2122 + R4p2221) + n3*(R4p2132 + R4p2231)) +
+ imbar3*(n1*(R4p2113 + R4p2311) + n2*(R4p2123 + R4p2321) + n3*(R4p2133 + R4p2331)))) -
+ imbar2*imbar3*(n1*(R4p2213 + R4p2312) + n2*(R4p2223 + R4p2322) + n3*(R4p2233 + R4p2332)) +
+ n1*R4p2112*rmbar1*rmbar2 + n2*R4p2122*rmbar1*rmbar2 + n3*R4p2132*rmbar1*rmbar2 + n1*R4p2211*rmbar1*rmbar2 +
+ n2*R4p2221*rmbar1*rmbar2 + n3*R4p2231*rmbar1*rmbar2 + n1*R4p2113*rmbar1*rmbar3 + n2*R4p2123*rmbar1*rmbar3 +
+ n3*R4p2133*rmbar1*rmbar3 + n1*R4p2311*rmbar1*rmbar3 + n2*R4p2321*rmbar1*rmbar3 + n3*R4p2331*rmbar1*rmbar3 +
+ n1*R4p2213*rmbar2*rmbar3 + n2*R4p2223*rmbar2*rmbar3 + n3*R4p2233*rmbar2*rmbar3 + n1*R4p2312*rmbar2*rmbar3 +
+ n2*R4p2322*rmbar2*rmbar3 + n3*R4p2332*rmbar2*rmbar3 - (n1*R4p2111 + n2*R4p2121 + n3*R4p2131)*SQR(imbar1) -
+ (n1*R4p2212 + n2*R4p2222 + n3*R4p2232)*SQR(imbar2) - n1*R4p2313*SQR(imbar3) - n2*R4p2323*SQR(imbar3) -
+ n3*R4p2333*SQR(imbar3) + n1*R4p2111*SQR(rmbar1) + n2*R4p2121*SQR(rmbar1) + n3*R4p2131*SQR(rmbar1) +
+ n1*R4p2212*SQR(rmbar2) + n2*R4p2222*SQR(rmbar2) + n3*R4p2232*SQR(rmbar2) + n1*R4p2313*SQR(rmbar3) +
+ n2*R4p2323*SQR(rmbar3) + n3*R4p2333*SQR(rmbar3)) +
+ n3*(-(imbar1*(imbar2*(n1*(R4p3112 + R4p3211) + n2*(R4p3122 + R4p3221) + n3*(R4p3132 + R4p3231)) +
+ imbar3*(n1*(R4p3113 + R4p3311) + n2*(R4p3123 + R4p3321) + n3*(R4p3133 + R4p3331)))) -
+ imbar2*imbar3*(n1*(R4p3213 + R4p3312) + n2*(R4p3223 + R4p3322) + n3*(R4p3233 + R4p3332)) +
+ n1*R4p3112*rmbar1*rmbar2 + n2*R4p3122*rmbar1*rmbar2 + n3*R4p3132*rmbar1*rmbar2 + n1*R4p3211*rmbar1*rmbar2 +
+ n2*R4p3221*rmbar1*rmbar2 + n3*R4p3231*rmbar1*rmbar2 + n1*R4p3113*rmbar1*rmbar3 + n2*R4p3123*rmbar1*rmbar3 +
+ n3*R4p3133*rmbar1*rmbar3 + n1*R4p3311*rmbar1*rmbar3 + n2*R4p3321*rmbar1*rmbar3 + n3*R4p3331*rmbar1*rmbar3 +
+ n1*R4p3213*rmbar2*rmbar3 + n2*R4p3223*rmbar2*rmbar3 + n3*R4p3233*rmbar2*rmbar3 + n1*R4p3312*rmbar2*rmbar3 +
+ n2*R4p3322*rmbar2*rmbar3 + n3*R4p3332*rmbar2*rmbar3 - (n1*R4p3111 + n2*R4p3121 + n3*R4p3131)*SQR(imbar1) -
+ (n1*R4p3212 + n2*R4p3222 + n3*R4p3232)*SQR(imbar2) - n1*R4p3313*SQR(imbar3) - n2*R4p3323*SQR(imbar3) -
+ n3*R4p3333*SQR(imbar3) + n1*R4p3111*SQR(rmbar1) + n2*R4p3121*SQR(rmbar1) + n3*R4p3131*SQR(rmbar1) +
+ n1*R4p3212*SQR(rmbar2) + n2*R4p3222*SQR(rmbar2) + n3*R4p3232*SQR(rmbar2) + n1*R4p3313*SQR(rmbar3) +
+ n2*R4p3323*SQR(rmbar3) + n3*R4p3333*SQR(rmbar3)) -
+ SQR(nn)*((imbar2*imbar3 - rmbar2*rmbar3)*Rojo23 + imbar1*(imbar2*(Rojo12 + Rojo21) + imbar3*(Rojo13 + Rojo31)) -
+ rmbar1*(rmbar2*(Rojo12 + Rojo21) + rmbar3*(Rojo13 + Rojo31)) + imbar2*imbar3*Rojo32 - rmbar2*rmbar3*Rojo32 +
+ Rojo11*SQR(imbar1) + Rojo22*SQR(imbar2) + Rojo33*SQR(imbar3) - Rojo11*SQR(rmbar1) - Rojo22*SQR(rmbar2) -
+ Rojo33*SQR(rmbar3)) + 2*nn*(-(n1*(imbar2*imbar3*Ro213 - rmbar2*rmbar3*Ro213 +
+ imbar1*(imbar2*(Ro112 + Ro211) + imbar3*(Ro113 + Ro311)) -
+ rmbar1*(rmbar2*(Ro112 + Ro211) + rmbar3*(Ro113 + Ro311)) + imbar2*imbar3*Ro312 - rmbar2*rmbar3*Ro312 +
+ Ro111*SQR(imbar1) + Ro212*SQR(imbar2) + Ro313*SQR(imbar3) - Ro111*SQR(rmbar1) - Ro212*SQR(rmbar2) -
+ Ro313*SQR(rmbar3))) - n2*(imbar2*imbar3*Ro223 - rmbar2*rmbar3*Ro223 +
+ imbar1*(imbar2*(Ro122 + Ro221) + imbar3*(Ro123 + Ro321)) -
+ rmbar1*(rmbar2*(Ro122 + Ro221) + rmbar3*(Ro123 + Ro321)) + imbar2*imbar3*Ro322 - rmbar2*rmbar3*Ro322 +
+ Ro121*SQR(imbar1) + Ro222*SQR(imbar2) + Ro323*SQR(imbar3) - Ro121*SQR(rmbar1) - Ro222*SQR(rmbar2) -
+ Ro323*SQR(rmbar3)) - n3*(imbar2*imbar3*Ro233 - rmbar2*rmbar3*Ro233 +
+ imbar1*(imbar2*(Ro132 + Ro231) + imbar3*(Ro133 + Ro331)) -
+ rmbar1*(rmbar2*(Ro132 + Ro231) + rmbar3*(Ro133 + Ro331)) + imbar2*imbar3*Ro332 - rmbar2*rmbar3*Ro332 +
+ Ro131*SQR(imbar1) + Ro232*SQR(imbar2) + Ro333*SQR(imbar3) - Ro131*SQR(rmbar1) - Ro232*SQR(rmbar2) -
+ Ro333*SQR(rmbar3)));
+
+ Psi4iL = -(n1*(im1*(n1*(2*R4p1111*rm1 + R4p1112*rm2 + R4p1211*rm2 + R4p1113*rm3 + R4p1311*rm3) +
+ n2*(2*R4p1121*rm1 + R4p1122*rm2 + R4p1221*rm2 + R4p1123*rm3 + R4p1321*rm3) +
+ n3*(2*R4p1131*rm1 + R4p1132*rm2 + R4p1231*rm2 + R4p1133*rm3 + R4p1331*rm3)) +
+ im2*(n1*(R4p1112*rm1 + R4p1211*rm1 + 2*R4p1212*rm2 + R4p1213*rm3 + R4p1312*rm3) +
+ n2*(R4p1122*rm1 + R4p1221*rm1 + 2*R4p1222*rm2 + R4p1223*rm3 + R4p1322*rm3) +
+ n3*(R4p1132*rm1 + R4p1231*rm1 + 2*R4p1232*rm2 + R4p1233*rm3 + R4p1332*rm3)) +
+ im3*(n1*(R4p1113*rm1 + R4p1311*rm1 + R4p1213*rm2 + R4p1312*rm2 + 2*R4p1313*rm3) +
+ n2*(R4p1123*rm1 + R4p1321*rm1 + R4p1223*rm2 + R4p1322*rm2 + 2*R4p1323*rm3) +
+ n3*(R4p1133*rm1 + R4p1331*rm1 + R4p1233*rm2 + R4p1332*rm2 + 2*R4p1333*rm3)))) -
+ n2*(im1*(n1*(2*R4p2111*rm1 + R4p2112*rm2 + R4p2211*rm2 + R4p2113*rm3 + R4p2311*rm3) +
+ n2*(2*R4p2121*rm1 + R4p2122*rm2 + R4p2221*rm2 + R4p2123*rm3 + R4p2321*rm3) +
+ n3*(2*R4p2131*rm1 + R4p2132*rm2 + R4p2231*rm2 + R4p2133*rm3 + R4p2331*rm3)) +
+ im2*(n1*(R4p2112*rm1 + R4p2211*rm1 + 2*R4p2212*rm2 + R4p2213*rm3 + R4p2312*rm3) +
+ n2*(R4p2122*rm1 + R4p2221*rm1 + 2*R4p2222*rm2 + R4p2223*rm3 + R4p2322*rm3) +
+ n3*(R4p2132*rm1 + R4p2231*rm1 + 2*R4p2232*rm2 + R4p2233*rm3 + R4p2332*rm3)) +
+ im3*(n1*(R4p2113*rm1 + R4p2311*rm1 + R4p2213*rm2 + R4p2312*rm2 + 2*R4p2313*rm3) +
+ n2*(R4p2123*rm1 + R4p2321*rm1 + R4p2223*rm2 + R4p2322*rm2 + 2*R4p2323*rm3) +
+ n3*(R4p2133*rm1 + R4p2331*rm1 + R4p2233*rm2 + R4p2332*rm2 + 2*R4p2333*rm3))) -
+ n3*(im1*(n1*(2*R4p3111*rm1 + R4p3112*rm2 + R4p3211*rm2 + R4p3113*rm3 + R4p3311*rm3) +
+ n2*(2*R4p3121*rm1 + R4p3122*rm2 + R4p3221*rm2 + R4p3123*rm3 + R4p3321*rm3) +
+ n3*(2*R4p3131*rm1 + R4p3132*rm2 + R4p3231*rm2 + R4p3133*rm3 + R4p3331*rm3)) +
+ im2*(n1*(R4p3112*rm1 + R4p3211*rm1 + 2*R4p3212*rm2 + R4p3213*rm3 + R4p3312*rm3) +
+ n2*(R4p3122*rm1 + R4p3221*rm1 + 2*R4p3222*rm2 + R4p3223*rm3 + R4p3322*rm3) +
+ n3*(R4p3132*rm1 + R4p3231*rm1 + 2*R4p3232*rm2 + R4p3233*rm3 + R4p3332*rm3)) +
+ im3*(n1*(R4p3113*rm1 + R4p3311*rm1 + R4p3213*rm2 + R4p3312*rm2 + 2*R4p3313*rm3) +
+ n2*(R4p3123*rm1 + R4p3321*rm1 + R4p3223*rm2 + R4p3322*rm2 + 2*R4p3323*rm3) +
+ n3*(R4p3133*rm1 + R4p3331*rm1 + R4p3233*rm2 + R4p3332*rm2 + 2*R4p3333*rm3))) -
+ 2*nn*(im1*(n1*(2*rm1*Ro111 + rm2*(Ro112 + Ro211) + rm3*(Ro113 + Ro311)) +
+ n2*(2*rm1*Ro121 + rm2*(Ro122 + Ro221) + rm3*(Ro123 + Ro321)) +
+ n3*(2*rm1*Ro131 + rm2*(Ro132 + Ro231) + rm3*(Ro133 + Ro331))) +
+ im2*(n1*(rm1*(Ro112 + Ro211) + 2*rm2*Ro212 + rm3*(Ro213 + Ro312)) +
+ n2*(rm1*(Ro122 + Ro221) + 2*rm2*Ro222 + rm3*(Ro223 + Ro322)) +
+ n3*(rm1*(Ro132 + Ro231) + 2*rm2*Ro232 + rm3*(Ro233 + Ro332))) +
+ im3*(n1*(rm1*(Ro113 + Ro311) + rm2*(Ro213 + Ro312) + 2*rm3*Ro313) +
+ n2*(rm1*(Ro123 + Ro321) + rm2*(Ro223 + Ro322) + 2*rm3*Ro323) +
+ n3*(rm1*(Ro133 + Ro331) + rm2*(Ro233 + Ro332) + 2*rm3*Ro333))) -
+ (im1*(2*rm1*Rojo11 + rm2*(Rojo12 + Rojo21) + rm3*(Rojo13 + Rojo31)) +
+ im2*(rm1*(Rojo12 + Rojo21) + 2*rm2*Rojo22 + rm3*(Rojo23 + Rojo32)) +
+ im3*(rm1*(Rojo13 + Rojo31) + rm2*(Rojo23 + Rojo32) + 2*rm3*Rojo33))*SQR(nn);
+
+
+ /* Copy local copies back to grid functions */
+ Psi4i[index] = Psi4iL;
+ Psi4r[index] = Psi4rL;
+
+ /* Copy local copies back to subblock grid functions */
+ }
+ }
+ }
+}
+
+void psis_calc_4th(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ GenericFD_LoopOverInterior(cctkGH, &psis_calc_4th_Body);
+}
generated by cgit v1.2.3 (git 2.39.1) at 2024-05-17 00:04:43 +0000