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authorIan Hinder <ian.hinder@aei.mpg.de>2012-03-21 22:00:33 +0100
committerIan Hinder <ian.hinder@aei.mpg.de>2012-03-21 22:00:33 +0100
commit22bc3a7bc6bb2356c1ec72d1845e9d4e502e34ca (patch)
tree2b0a857f41425d1928b6cc19e3086bb6ed0593da /Examples
parenta7128aa0f728af4ce8c9db5d69eeafeec67d4cf4 (diff)
Generate WaveCaKernelScript thorn
Diffstat (limited to 'Examples')
-rw-r--r--Examples/WaveCaKernelScript/cakernel.ccl81
-rw-r--r--Examples/WaveCaKernelScript/configuration.ccl7
-rw-r--r--Examples/WaveCaKernelScript/interface.ccl63
-rw-r--r--Examples/WaveCaKernelScript/param.ccl210
-rw-r--r--Examples/WaveCaKernelScript/schedule.ccl118
-rw-r--r--Examples/WaveCaKernelScript/src/Boundaries.cc249
-rw-r--r--Examples/WaveCaKernelScript/src/CaKernel__calc_bound_rhs.code100
-rw-r--r--Examples/WaveCaKernelScript/src/CaKernel__calc_rhs.code97
-rw-r--r--Examples/WaveCaKernelScript/src/CaKernel__initial_gaussian_calc.code98
-rw-r--r--Examples/WaveCaKernelScript/src/Differencing.h288
-rw-r--r--Examples/WaveCaKernelScript/src/RegisterMoL.cc20
-rw-r--r--Examples/WaveCaKernelScript/src/RegisterSymmetries.cc29
-rw-r--r--Examples/WaveCaKernelScript/src/Startup.cc10
-rw-r--r--Examples/WaveCaKernelScript/src/make.code.defn3
14 files changed, 1373 insertions, 0 deletions
diff --git a/Examples/WaveCaKernelScript/cakernel.ccl b/Examples/WaveCaKernelScript/cakernel.ccl
new file mode 100644
index 0000000..4359133
--- /dev/null
+++ b/Examples/WaveCaKernelScript/cakernel.ccl
@@ -0,0 +1,81 @@
+CCTK_CUDA_KERNEL initial_gaussian_calc TYPE=gpu_cuda/3dblock TILE="8,8,8" SHARECODE=yes STENCIL="0,0,0,0,0,0"
+{
+ CCTK_CUDA_KERNEL_VARIABLE cached=no intent=out
+ {
+ phi
+ }
+ "phi"
+
+ CCTK_CUDA_KERNEL_VARIABLE cached=no intent=out
+ {
+ pi
+ }
+ "pi"
+
+ CCTK_CUDA_KERNEL_VARIABLE cached=no intent=in
+ {
+ x
+ }
+ "x"
+
+ CCTK_CUDA_KERNEL_PARAMETER
+ {
+ fdOrder
+ }
+ "fdOrder"
+}
+
+CCTK_CUDA_KERNEL calc_rhs TYPE=gpu_cuda/3dblock TILE="8,8,8" SHARECODE=yes STENCIL="0,0,0,0,0,0"
+{
+ CCTK_CUDA_KERNEL_VARIABLE cached=no intent=out
+ {
+ phirhs
+ }
+ "phirhs"
+
+ CCTK_CUDA_KERNEL_VARIABLE cached=no intent=in
+ {
+ pi
+ }
+ "pi"
+
+ CCTK_CUDA_KERNEL_VARIABLE cached=no intent=out
+ {
+ pirhs
+ }
+ "pirhs"
+
+ CCTK_CUDA_KERNEL_PARAMETER
+ {
+ fdOrder
+ }
+ "fdOrder"
+}
+
+CCTK_CUDA_KERNEL calc_bound_rhs TYPE=gpu_cuda/3dblock TILE="8,8,8" SHARECODE=yes STENCIL="0,0,0,0,0,0"
+{
+ CCTK_CUDA_KERNEL_VARIABLE cached=no intent=out
+ {
+ phirhs
+ }
+ "phirhs"
+
+ CCTK_CUDA_KERNEL_VARIABLE cached=no intent=out
+ {
+ pirhs
+ }
+ "pirhs"
+
+ CCTK_CUDA_KERNEL_VARIABLE cached=no intent=in
+ {
+ x
+ }
+ "x"
+
+ CCTK_CUDA_KERNEL_PARAMETER
+ {
+ fdOrder
+ }
+ "fdOrder"
+}
+
diff --git a/Examples/WaveCaKernelScript/configuration.ccl b/Examples/WaveCaKernelScript/configuration.ccl
new file mode 100644
index 0000000..46dbde5
--- /dev/null
+++ b/Examples/WaveCaKernelScript/configuration.ccl
@@ -0,0 +1,7 @@
+# File produced by Kranc
+
+REQUIRES GenericFD
+OPTIONAL LoopControl
+{
+}
+REQUIRES CUDA \ No newline at end of file
diff --git a/Examples/WaveCaKernelScript/interface.ccl b/Examples/WaveCaKernelScript/interface.ccl
new file mode 100644
index 0000000..270f05f
--- /dev/null
+++ b/Examples/WaveCaKernelScript/interface.ccl
@@ -0,0 +1,63 @@
+# File produced by Kranc
+
+implements: WaveCaKernelScript
+
+inherits: Grid GenericFD Boundary
+
+
+
+USES INCLUDE: GenericFD.h
+USES INCLUDE: Symmetry.h
+USES INCLUDE: sbp_calc_coeffs.h
+USES INCLUDE: Boundary.h
+USES INCLUDE: loopcontrol.h
+
+CCTK_INT FUNCTION MoLRegisterEvolved(CCTK_INT IN EvolvedIndex, CCTK_INT IN RHSIndex)
+USES FUNCTION MoLRegisterEvolved
+
+SUBROUTINE Diff_coeff(CCTK_POINTER_TO_CONST IN cctkGH, CCTK_INT IN dir, CCTK_INT IN nsize, CCTK_INT OUT ARRAY imin, CCTK_INT OUT ARRAY imax, CCTK_REAL OUT ARRAY q, CCTK_INT IN table_handle)
+USES FUNCTION Diff_coeff
+
+CCTK_INT FUNCTION MultiPatch_GetMap(CCTK_POINTER_TO_CONST IN cctkGH)
+USES FUNCTION MultiPatch_GetMap
+
+CCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN group_name, CCTK_STRING IN bc_name)
+USES FUNCTION Boundary_SelectGroupForBC
+
+CCTK_INT FUNCTION Boundary_SelectVarForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT IN faces, CCTK_INT IN boundary_width, CCTK_INT IN table_handle, CCTK_STRING IN var_name, CCTK_STRING IN bc_name)
+USES FUNCTION Boundary_SelectVarForBC
+
+public:
+CCTK_REAL phi_group type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=0'
+{
+ phi
+} "phi_group"
+
+public:
+CCTK_REAL pi_group type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=0'
+{
+ pi
+} "pi_group"
+
+public:
+CCTK_REAL phi_grouprhs type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=0'
+{
+ phirhs
+} "phi_grouprhs"
+
+public:
+CCTK_REAL pi_grouprhs type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=0'
+{
+ pirhs
+} "pi_grouprhs"
+
+# These functions are provided by the CaKernel thorn
+
+CCTK_INT FUNCTION Device_RegisterMem(CCTK_POINTER IN cctkGH, CCTK_INT IN vi, CCTK_INT IN num_tls)
+REQUIRES FUNCTION Device_RegisterMem
+
+CCTK_INT FUNCTION Device_UnRegisterMem(CCTK_POINTER IN cctkGH, CCTK_INT IN vi)
+REQUIRES FUNCTION Device_UnRegisterMem
+
+CCTK_POINTER FUNCTION Device_GetVarI (CCTK_POINTER IN cctkGH, CCTK_INT IN vi, CCTK_INT IN num_tls)
+REQUIRES FUNCTION Device_GetVarI
diff --git a/Examples/WaveCaKernelScript/param.ccl b/Examples/WaveCaKernelScript/param.ccl
new file mode 100644
index 0000000..570b8ad
--- /dev/null
+++ b/Examples/WaveCaKernelScript/param.ccl
@@ -0,0 +1,210 @@
+# File produced by Kranc
+
+
+shares: GenericFD
+
+
+
+shares: MethodOfLines
+
+USES CCTK_INT MoL_Num_Evolved_Vars
+USES CCTK_INT MoL_Num_ArrayEvolved_Vars
+
+restricted:
+CCTK_INT verbose "verbose" STEERABLE=ALWAYS
+{
+ *:* :: ""
+} 0
+
+restricted:
+CCTK_INT fdOrder "fdOrder"
+{
+ *:* :: ""
+} 2
+
+restricted:
+CCTK_INT WaveCaKernelScript_MaxNumEvolvedVars "Number of evolved variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars STEERABLE=RECOVER
+{
+ 2:2 :: "Number of evolved variables used by this thorn"
+} 2
+
+restricted:
+CCTK_INT WaveCaKernelScript_MaxNumArrayEvolvedVars "Number of Array evolved variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_ArrayEvolved_Vars STEERABLE=RECOVER
+{
+ 0:0 :: "Number of Array evolved variables used by this thorn"
+} 0
+
+restricted:
+CCTK_INT timelevels "Number of active timelevels" STEERABLE=RECOVER
+{
+ 0:3 :: ""
+} 3
+
+restricted:
+CCTK_INT rhs_timelevels "Number of active RHS timelevels" STEERABLE=RECOVER
+{
+ 0:3 :: ""
+} 1
+
+restricted:
+CCTK_INT other_timelevels "Number of active timelevels for non-evolved grid functions" STEERABLE=RECOVER
+{
+ 0:3 :: ""
+} 1
+
+restricted:
+CCTK_INT initial_gaussian_calc_calc_every "initial_gaussian_calc_calc_every" STEERABLE=ALWAYS
+{
+ *:* :: ""
+} 1
+
+restricted:
+CCTK_INT calc_rhs_calc_every "calc_rhs_calc_every" STEERABLE=ALWAYS
+{
+ *:* :: ""
+} 1
+
+restricted:
+CCTK_INT calc_bound_rhs_calc_every "calc_bound_rhs_calc_every" STEERABLE=ALWAYS
+{
+ *:* :: ""
+} 1
+
+restricted:
+CCTK_INT initial_gaussian_calc_calc_offset "initial_gaussian_calc_calc_offset" STEERABLE=ALWAYS
+{
+ *:* :: ""
+} 0
+
+restricted:
+CCTK_INT calc_rhs_calc_offset "calc_rhs_calc_offset" STEERABLE=ALWAYS
+{
+ *:* :: ""
+} 0
+
+restricted:
+CCTK_INT calc_bound_rhs_calc_offset "calc_bound_rhs_calc_offset" STEERABLE=ALWAYS
+{
+ *:* :: ""
+} 0
+
+private:
+KEYWORD phi_bound "Boundary condition to implement" STEERABLE=ALWAYS
+{
+ "flat" :: "Flat boundary condition"
+ "none" :: "No boundary condition"
+ "static" :: "Boundaries held fixed"
+ "radiative" :: "Radiation boundary condition"
+ "scalar" :: "Dirichlet boundary condition"
+ "newrad" :: "Improved radiative boundary condition"
+ "skip" :: "skip boundary condition code"
+} "skip"
+
+private:
+KEYWORD pi_bound "Boundary condition to implement" STEERABLE=ALWAYS
+{
+ "flat" :: "Flat boundary condition"
+ "none" :: "No boundary condition"
+ "static" :: "Boundaries held fixed"
+ "radiative" :: "Radiation boundary condition"
+ "scalar" :: "Dirichlet boundary condition"
+ "newrad" :: "Improved radiative boundary condition"
+ "skip" :: "skip boundary condition code"
+} "skip"
+
+private:
+KEYWORD phi_group_bound "Boundary condition to implement" STEERABLE=ALWAYS
+{
+ "flat" :: "Flat boundary condition"
+ "none" :: "No boundary condition"
+ "static" :: "Boundaries held fixed"
+ "radiative" :: "Radiation boundary condition"
+ "scalar" :: "Dirichlet boundary condition"
+ "newrad" :: "Improved radiative boundary condition"
+ "skip" :: "skip boundary condition code"
+} "none"
+
+private:
+KEYWORD pi_group_bound "Boundary condition to implement" STEERABLE=ALWAYS
+{
+ "flat" :: "Flat boundary condition"
+ "none" :: "No boundary condition"
+ "static" :: "Boundaries held fixed"
+ "radiative" :: "Radiation boundary condition"
+ "scalar" :: "Dirichlet boundary condition"
+ "newrad" :: "Improved radiative boundary condition"
+ "skip" :: "skip boundary condition code"
+} "none"
+
+private:
+CCTK_REAL phi_bound_speed "characteristic speed at boundary" STEERABLE=ALWAYS
+{
+ "0:*" :: "outgoing characteristic speed > 0"
+} 1.
+
+private:
+CCTK_REAL pi_bound_speed "characteristic speed at boundary" STEERABLE=ALWAYS
+{
+ "0:*" :: "outgoing characteristic speed > 0"
+} 1.
+
+private:
+CCTK_REAL phi_group_bound_speed "characteristic speed at boundary" STEERABLE=ALWAYS
+{
+ "0:*" :: "outgoing characteristic speed > 0"
+} 1.
+
+private:
+CCTK_REAL pi_group_bound_speed "characteristic speed at boundary" STEERABLE=ALWAYS
+{
+ "0:*" :: "outgoing characteristic speed > 0"
+} 1.
+
+private:
+CCTK_REAL phi_bound_limit "limit value for r -> infinity" STEERABLE=ALWAYS
+{
+ "*:*" :: "value of limit value is unrestricted"
+} 0.
+
+private:
+CCTK_REAL pi_bound_limit "limit value for r -> infinity" STEERABLE=ALWAYS
+{
+ "*:*" :: "value of limit value is unrestricted"
+} 0.
+
+private:
+CCTK_REAL phi_group_bound_limit "limit value for r -> infinity" STEERABLE=ALWAYS
+{
+ "*:*" :: "value of limit value is unrestricted"
+} 0.
+
+private:
+CCTK_REAL pi_group_bound_limit "limit value for r -> infinity" STEERABLE=ALWAYS
+{
+ "*:*" :: "value of limit value is unrestricted"
+} 0.
+
+private:
+CCTK_REAL phi_bound_scalar "Dirichlet boundary value" STEERABLE=ALWAYS
+{
+ "*:*" :: "unrestricted"
+} 0.
+
+private:
+CCTK_REAL pi_bound_scalar "Dirichlet boundary value" STEERABLE=ALWAYS
+{
+ "*:*" :: "unrestricted"
+} 0.
+
+private:
+CCTK_REAL phi_group_bound_scalar "Dirichlet boundary value" STEERABLE=ALWAYS
+{
+ "*:*" :: "unrestricted"
+} 0.
+
+private:
+CCTK_REAL pi_group_bound_scalar "Dirichlet boundary value" STEERABLE=ALWAYS
+{
+ "*:*" :: "unrestricted"
+} 0.
+
diff --git a/Examples/WaveCaKernelScript/schedule.ccl b/Examples/WaveCaKernelScript/schedule.ccl
new file mode 100644
index 0000000..989f7ec
--- /dev/null
+++ b/Examples/WaveCaKernelScript/schedule.ccl
@@ -0,0 +1,118 @@
+# File produced by Kranc
+
+
+if (timelevels == 1)
+{
+ STORAGE: phi_group[1]
+}
+if (timelevels == 2)
+{
+ STORAGE: phi_group[2]
+}
+if (timelevels == 3)
+{
+ STORAGE: phi_group[3]
+}
+
+if (timelevels == 1)
+{
+ STORAGE: pi_group[1]
+}
+if (timelevels == 2)
+{
+ STORAGE: pi_group[2]
+}
+if (timelevels == 3)
+{
+ STORAGE: pi_group[3]
+}
+
+if (rhs_timelevels == 1)
+{
+ STORAGE: phi_grouprhs[1]
+}
+if (rhs_timelevels == 2)
+{
+ STORAGE: phi_grouprhs[2]
+}
+if (rhs_timelevels == 3)
+{
+ STORAGE: phi_grouprhs[3]
+}
+
+if (rhs_timelevels == 1)
+{
+ STORAGE: pi_grouprhs[1]
+}
+if (rhs_timelevels == 2)
+{
+ STORAGE: pi_grouprhs[2]
+}
+if (rhs_timelevels == 3)
+{
+ STORAGE: pi_grouprhs[3]
+}
+
+schedule WaveCaKernelScript_Startup at STARTUP
+{
+ LANG: C
+ OPTIONS: meta
+} "create banner"
+
+schedule WaveCaKernelScript_RegisterSymmetries in SymmetryRegister
+{
+ LANG: C
+ OPTIONS: meta
+} "register symmetries"
+
+schedule CAKERNEL_Launch_initial_gaussian_calc at initial
+{
+ LANG: C
+ TAGS: Device=1
+ READS: grid::coordinates
+ WRITES: WaveCaKernelScript::phi_group
+ WRITES: WaveCaKernelScript::pi_group
+} "initial_gaussian_calc"
+
+schedule CAKERNEL_Launch_calc_rhs in MoL_CalcRHS
+{
+ LANG: C
+ TAGS: Device=1
+ READS: WaveCaKernelScript::pi_group
+ WRITES: WaveCaKernelScript::phi_grouprhs
+ WRITES: WaveCaKernelScript::pi_grouprhs
+} "calc_rhs"
+
+schedule CAKERNEL_Launch_calc_bound_rhs in MoL_RHSBoundaries
+{
+ LANG: C
+ TAGS: Device=1
+ READS: grid::coordinates
+ WRITES: WaveCaKernelScript::phi_grouprhs
+ WRITES: WaveCaKernelScript::pi_grouprhs
+} "calc_bound_rhs"
+
+schedule WaveCaKernelScript_SelectBoundConds in MoL_PostStep
+{
+ LANG: C
+ OPTIONS: level
+ SYNC: phi_group
+ SYNC: pi_group
+} "select boundary conditions"
+
+schedule WaveCaKernelScript_CheckBoundaries at BASEGRID
+{
+ LANG: C
+ OPTIONS: meta
+} "check boundaries treatment"
+
+schedule WaveCaKernelScript_RegisterVars in MoL_Register
+{
+ LANG: C
+ OPTIONS: meta
+} "Register Variables for MoL"
+
+schedule group ApplyBCs as WaveCaKernelScript_ApplyBCs in MoL_PostStep after WaveCaKernelScript_SelectBoundConds
+{
+ # no language specified
+} "Apply boundary conditions controlled by thorn Boundary"
diff --git a/Examples/WaveCaKernelScript/src/Boundaries.cc b/Examples/WaveCaKernelScript/src/Boundaries.cc
new file mode 100644
index 0000000..8f231ab
--- /dev/null
+++ b/Examples/WaveCaKernelScript/src/Boundaries.cc
@@ -0,0 +1,249 @@
+/* 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 */
+
+
+extern "C" void WaveCaKernelScript_CheckBoundaries(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ return;
+}
+
+extern "C" void WaveCaKernelScript_SelectBoundConds(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ CCTK_INT ierr = 0;
+
+ if (CCTK_EQUALS(phi_group_bound, "none" ) ||
+ CCTK_EQUALS(phi_group_bound, "static") ||
+ CCTK_EQUALS(phi_group_bound, "flat" ) ||
+ CCTK_EQUALS(phi_group_bound, "zero" ) )
+ {
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1,
+ "WaveCaKernelScript::phi_group", phi_group_bound);
+ if (ierr < 0)
+ CCTK_WARN(0, "Failed to register phi_group_bound BC for WaveCaKernelScript::phi_group!");
+ }
+
+ if (CCTK_EQUALS(pi_group_bound, "none" ) ||
+ CCTK_EQUALS(pi_group_bound, "static") ||
+ CCTK_EQUALS(pi_group_bound, "flat" ) ||
+ CCTK_EQUALS(pi_group_bound, "zero" ) )
+ {
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1,
+ "WaveCaKernelScript::pi_group", pi_group_bound);
+ if (ierr < 0)
+ CCTK_WARN(0, "Failed to register pi_group_bound BC for WaveCaKernelScript::pi_group!");
+ }
+
+ if (CCTK_EQUALS(phi_bound, "none" ) ||
+ CCTK_EQUALS(phi_bound, "static") ||
+ CCTK_EQUALS(phi_bound, "flat" ) ||
+ CCTK_EQUALS(phi_bound, "zero" ) )
+ {
+ ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1,
+ "WaveCaKernelScript::phi", phi_bound);
+ if (ierr < 0)
+ CCTK_WARN(0, "Failed to register phi_bound BC for WaveCaKernelScript::phi!");
+ }
+
+ if (CCTK_EQUALS(pi_bound, "none" ) ||
+ CCTK_EQUALS(pi_bound, "static") ||
+ CCTK_EQUALS(pi_bound, "flat" ) ||
+ CCTK_EQUALS(pi_bound, "zero" ) )
+ {
+ ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, -1,
+ "WaveCaKernelScript::pi", pi_bound);
+ if (ierr < 0)
+ CCTK_WARN(0, "Failed to register pi_bound BC for WaveCaKernelScript::pi!");
+ }
+
+ if (CCTK_EQUALS(phi_group_bound, "radiative"))
+ {
+ /* select radiation boundary condition */
+ static CCTK_INT handle_phi_group_bound = -1;
+ if (handle_phi_group_bound < 0) handle_phi_group_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_phi_group_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_phi_group_bound , phi_group_bound_limit, "LIMIT") < 0)
+ CCTK_WARN(0, "could not set LIMIT value in table!");
+ if (Util_TableSetReal(handle_phi_group_bound ,phi_group_bound_speed, "SPEED") < 0)
+ CCTK_WARN(0, "could not set SPEED value in table!");
+
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_phi_group_bound,
+ "WaveCaKernelScript::phi_group", "Radiation");
+
+ if (ierr < 0)
+ CCTK_WARN(0, "Failed to register Radiation BC for WaveCaKernelScript::phi_group!");
+
+ }
+
+ if (CCTK_EQUALS(pi_group_bound, "radiative"))
+ {
+ /* select radiation boundary condition */
+ static CCTK_INT handle_pi_group_bound = -1;
+ if (handle_pi_group_bound < 0) handle_pi_group_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_pi_group_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_pi_group_bound , pi_group_bound_limit, "LIMIT") < 0)
+ CCTK_WARN(0, "could not set LIMIT value in table!");
+ if (Util_TableSetReal(handle_pi_group_bound ,pi_group_bound_speed, "SPEED") < 0)
+ CCTK_WARN(0, "could not set SPEED value in table!");
+
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_pi_group_bound,
+ "WaveCaKernelScript::pi_group", "Radiation");
+
+ if (ierr < 0)
+ CCTK_WARN(0, "Failed to register Radiation BC for WaveCaKernelScript::pi_group!");
+
+ }
+
+ if (CCTK_EQUALS(phi_bound, "radiative"))
+ {
+ /* select radiation boundary condition */
+ static CCTK_INT handle_phi_bound = -1;
+ if (handle_phi_bound < 0) handle_phi_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_phi_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_phi_bound , phi_bound_limit, "LIMIT") < 0)
+ CCTK_WARN(0, "could not set LIMIT value in table!");
+ if (Util_TableSetReal(handle_phi_bound ,phi_bound_speed, "SPEED") < 0)
+ CCTK_WARN(0, "could not set SPEED value in table!");
+
+ ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_phi_bound,
+ "WaveCaKernelScript::phi", "Radiation");
+
+ if (ierr < 0)
+ CCTK_WARN(0, "Failed to register Radiation BC for WaveCaKernelScript::phi!");
+
+ }
+
+ if (CCTK_EQUALS(pi_bound, "radiative"))
+ {
+ /* select radiation boundary condition */
+ static CCTK_INT handle_pi_bound = -1;
+ if (handle_pi_bound < 0) handle_pi_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_pi_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_pi_bound , pi_bound_limit, "LIMIT") < 0)
+ CCTK_WARN(0, "could not set LIMIT value in table!");
+ if (Util_TableSetReal(handle_pi_bound ,pi_bound_speed, "SPEED") < 0)
+ CCTK_WARN(0, "could not set SPEED value in table!");
+
+ ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_pi_bound,
+ "WaveCaKernelScript::pi", "Radiation");
+
+ if (ierr < 0)
+ CCTK_WARN(0, "Failed to register Radiation BC for WaveCaKernelScript::pi!");
+
+ }
+
+ if (CCTK_EQUALS(phi_group_bound, "scalar"))
+ {
+ /* select scalar boundary condition */
+ static CCTK_INT handle_phi_group_bound = -1;
+ if (handle_phi_group_bound < 0) handle_phi_group_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_phi_group_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_phi_group_bound ,phi_group_bound_scalar, "SCALAR") < 0)
+ CCTK_WARN(0, "could not set SCALAR value in table!");
+
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_phi_group_bound,
+ "WaveCaKernelScript::phi_group", "scalar");
+
+ if (ierr < 0)
+ CCTK_WARN(0, "Failed to register Scalar BC for WaveCaKernelScript::phi_group!");
+
+ }
+
+ if (CCTK_EQUALS(pi_group_bound, "scalar"))
+ {
+ /* select scalar boundary condition */
+ static CCTK_INT handle_pi_group_bound = -1;
+ if (handle_pi_group_bound < 0) handle_pi_group_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_pi_group_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_pi_group_bound ,pi_group_bound_scalar, "SCALAR") < 0)
+ CCTK_WARN(0, "could not set SCALAR value in table!");
+
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_pi_group_bound,
+ "WaveCaKernelScript::pi_group", "scalar");
+
+ if (ierr < 0)
+ CCTK_WARN(0, "Failed to register Scalar BC for WaveCaKernelScript::pi_group!");
+
+ }
+
+ if (CCTK_EQUALS(phi_bound, "scalar"))
+ {
+ /* select scalar boundary condition */
+ static CCTK_INT handle_phi_bound = -1;
+ if (handle_phi_bound < 0) handle_phi_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_phi_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_phi_bound ,phi_bound_scalar, "SCALAR") < 0)
+ CCTK_WARN(0, "could not set SCALAR value in table!");
+
+ ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_phi_bound,
+ "WaveCaKernelScript::phi", "scalar");
+
+ if (ierr < 0)
+ CCTK_WARN(0, "Error in registering Scalar BC for WaveCaKernelScript::phi!");
+
+ }
+
+ if (CCTK_EQUALS(pi_bound, "scalar"))
+ {
+ /* select scalar boundary condition */
+ static CCTK_INT handle_pi_bound = -1;
+ if (handle_pi_bound < 0) handle_pi_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_pi_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_pi_bound ,pi_bound_scalar, "SCALAR") < 0)
+ CCTK_WARN(0, "could not set SCALAR value in table!");
+
+ ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, 1, handle_pi_bound,
+ "WaveCaKernelScript::pi", "scalar");
+
+ if (ierr < 0)
+ CCTK_WARN(0, "Error in registering Scalar BC for WaveCaKernelScript::pi!");
+
+ }
+ return;
+}
+
+
+
+/* template for entries in parameter file:
+#$bound$#WaveCaKernelScript::phi_group_bound = "skip"
+#$bound$#WaveCaKernelScript::phi_group_bound_speed = 1.0
+#$bound$#WaveCaKernelScript::phi_group_bound_limit = 0.0
+#$bound$#WaveCaKernelScript::phi_group_bound_scalar = 0.0
+
+#$bound$#WaveCaKernelScript::pi_group_bound = "skip"
+#$bound$#WaveCaKernelScript::pi_group_bound_speed = 1.0
+#$bound$#WaveCaKernelScript::pi_group_bound_limit = 0.0
+#$bound$#WaveCaKernelScript::pi_group_bound_scalar = 0.0
+
+#$bound$#WaveCaKernelScript::phi_bound = "skip"
+#$bound$#WaveCaKernelScript::phi_bound_speed = 1.0
+#$bound$#WaveCaKernelScript::phi_bound_limit = 0.0
+#$bound$#WaveCaKernelScript::phi_bound_scalar = 0.0
+
+#$bound$#WaveCaKernelScript::pi_bound = "skip"
+#$bound$#WaveCaKernelScript::pi_bound_speed = 1.0
+#$bound$#WaveCaKernelScript::pi_bound_limit = 0.0
+#$bound$#WaveCaKernelScript::pi_bound_scalar = 0.0
+
+*/
+
diff --git a/Examples/WaveCaKernelScript/src/CaKernel__calc_bound_rhs.code b/Examples/WaveCaKernelScript/src/CaKernel__calc_bound_rhs.code
new file mode 100644
index 0000000..fa8b6ae
--- /dev/null
+++ b/Examples/WaveCaKernelScript/src/CaKernel__calc_bound_rhs.code
@@ -0,0 +1,100 @@
+#undef KRANC_DIFF_FUNCTIONS
+#define KRANC_C
+#include "Differencing.h"
+#include "GenericFD.h"
+
+#undef KRANC_GFOFFSET3D
+#define KRANC_GFOFFSET3D(u,i,j,k) I3D(u,i,j,k)
+
+
+/* Define macros used in calculations */
+#define INITVALUE (42)
+#define QAD(x) (SQR(SQR(x)))
+#define INV(x) ((1.0) / (x))
+#define SQR(x) ((x) * (x))
+#define CUB(x) ((x) * (x) * (x))
+
+CAKERNEL_calc_bound_rhs_Begin
+
+ /* Include user-supplied include files */
+
+ /* Initialise finite differencing variables */
+ CCTK_REAL const dx = params.cagh_dx;
+ CCTK_REAL const dy = params.cagh_dy;
+ CCTK_REAL const dz = params.cagh_dz;
+ CCTK_REAL const dt = params.cagh_dt;
+ CCTK_REAL const t = params.cagh_time;
+ CCTK_REAL const dxi = INV(dx);
+ CCTK_REAL const dyi = INV(dy);
+ CCTK_REAL const dzi = INV(dz);
+ CCTK_REAL const khalf = 0.5;
+ CCTK_REAL const kthird = 1/3.0;
+ CCTK_REAL const ktwothird = 2.0/3.0;
+ CCTK_REAL const kfourthird = 4.0/3.0;
+ CCTK_REAL const keightthird = 8.0/3.0;
+ CCTK_REAL const hdxi = 0.5 * dxi;
+ CCTK_REAL const hdyi = 0.5 * dyi;
+ CCTK_REAL const hdzi = 0.5 * dzi;
+
+ /* Initialize predefined quantities */
+ CCTK_REAL const p1o12dx = 0.0833333333333333333333333333333*INV(dx);
+ CCTK_REAL const p1o12dy = 0.0833333333333333333333333333333*INV(dy);
+ CCTK_REAL const p1o12dz = 0.0833333333333333333333333333333*INV(dz);
+ CCTK_REAL const p1o144dxdy = 0.00694444444444444444444444444444*INV(dx*dy);
+ CCTK_REAL const p1o144dxdz = 0.00694444444444444444444444444444*INV(dx*dz);
+ CCTK_REAL const p1o144dydz = 0.00694444444444444444444444444444*INV(dy*dz);
+ CCTK_REAL const p1o2dx = 0.5*INV(dx);
+ CCTK_REAL const p1o2dy = 0.5*INV(dy);
+ CCTK_REAL const p1o2dz = 0.5*INV(dz);
+ CCTK_REAL const p1o4dxdy = 0.25*INV(dx*dy);
+ CCTK_REAL const p1o4dxdz = 0.25*INV(dx*dz);
+ CCTK_REAL const p1o4dydz = 0.25*INV(dy*dz);
+ CCTK_REAL const p1odx2 = INV(SQR(dx));
+ CCTK_REAL const p1ody2 = INV(SQR(dy));
+ CCTK_REAL const p1odz2 = INV(SQR(dz));
+ CCTK_REAL const pm1o12dx2 = -0.0833333333333333333333333333333*INV(SQR(dx));
+ CCTK_REAL const pm1o12dy2 = -0.0833333333333333333333333333333*INV(SQR(dy));
+ CCTK_REAL const pm1o12dz2 = -0.0833333333333333333333333333333*INV(SQR(dz));
+
+ /* Assign local copies of arrays functions */
+
+
+
+ /* Calculate temporaries and arrays functions */
+
+ /* Copy local copies back to grid functions */
+ CAKERNEL_calc_bound_rhs_Computations_Begin
+
+ /* Assign local copies of grid functions */
+
+ CCTK_REAL xL = I3D(x,0,0,0);
+
+
+ /* Include user supplied include files */
+
+ /* Precompute derivatives */
+
+ switch(fdOrder)
+ {
+ case 2:
+ break;
+
+ case 4:
+ break;
+ }
+
+ /* Calculate temporaries and grid functions */
+ CCTK_REAL phirhsL = 199.99999999999997*(xL + t)*exp(-100.*SQR(xL +
+ t));
+
+ CCTK_REAL pirhsL = exp(-99.99999999999999*SQR(xL +
+ t))*(-199.99999999999997 + 79999.99999999997*xL*t +
+ 39999.999999999985*(SQR(xL) + SQR(t)));
+
+ /* Copy local copies back to grid functions */
+ I3D(phirhs,0,0,0) = phirhsL;
+ I3D(pirhs,0,0,0) = pirhsL;
+
+ CAKERNEL_calc_bound_rhs_Computations_End
+
+CAKERNEL_calc_bound_rhs_End
diff --git a/Examples/WaveCaKernelScript/src/CaKernel__calc_rhs.code b/Examples/WaveCaKernelScript/src/CaKernel__calc_rhs.code
new file mode 100644
index 0000000..78a0089
--- /dev/null
+++ b/Examples/WaveCaKernelScript/src/CaKernel__calc_rhs.code
@@ -0,0 +1,97 @@
+#undef KRANC_DIFF_FUNCTIONS
+#define KRANC_C
+#include "Differencing.h"
+#include "GenericFD.h"
+
+#undef KRANC_GFOFFSET3D
+#define KRANC_GFOFFSET3D(u,i,j,k) I3D(u,i,j,k)
+
+
+/* Define macros used in calculations */
+#define INITVALUE (42)
+#define QAD(x) (SQR(SQR(x)))
+#define INV(x) ((1.0) / (x))
+#define SQR(x) ((x) * (x))
+#define CUB(x) ((x) * (x) * (x))
+
+CAKERNEL_calc_rhs_Begin
+
+ /* Include user-supplied include files */
+
+ /* Initialise finite differencing variables */
+ CCTK_REAL const dx = params.cagh_dx;
+ CCTK_REAL const dy = params.cagh_dy;
+ CCTK_REAL const dz = params.cagh_dz;
+ CCTK_REAL const dt = params.cagh_dt;
+ CCTK_REAL const t = params.cagh_time;
+ CCTK_REAL const dxi = INV(dx);
+ CCTK_REAL const dyi = INV(dy);
+ CCTK_REAL const dzi = INV(dz);
+ CCTK_REAL const khalf = 0.5;
+ CCTK_REAL const kthird = 1/3.0;
+ CCTK_REAL const ktwothird = 2.0/3.0;
+ CCTK_REAL const kfourthird = 4.0/3.0;
+ CCTK_REAL const keightthird = 8.0/3.0;
+ CCTK_REAL const hdxi = 0.5 * dxi;
+ CCTK_REAL const hdyi = 0.5 * dyi;
+ CCTK_REAL const hdzi = 0.5 * dzi;
+
+ /* Initialize predefined quantities */
+ CCTK_REAL const p1o12dx = 0.0833333333333333333333333333333*INV(dx);
+ CCTK_REAL const p1o12dy = 0.0833333333333333333333333333333*INV(dy);
+ CCTK_REAL const p1o12dz = 0.0833333333333333333333333333333*INV(dz);
+ CCTK_REAL const p1o144dxdy = 0.00694444444444444444444444444444*INV(dx*dy);
+ CCTK_REAL const p1o144dxdz = 0.00694444444444444444444444444444*INV(dx*dz);
+ CCTK_REAL const p1o144dydz = 0.00694444444444444444444444444444*INV(dy*dz);
+ CCTK_REAL const p1o2dx = 0.5*INV(dx);
+ CCTK_REAL const p1o2dy = 0.5*INV(dy);
+ CCTK_REAL const p1o2dz = 0.5*INV(dz);
+ CCTK_REAL const p1o4dxdy = 0.25*INV(dx*dy);
+ CCTK_REAL const p1o4dxdz = 0.25*INV(dx*dz);
+ CCTK_REAL const p1o4dydz = 0.25*INV(dy*dz);
+ CCTK_REAL const p1odx2 = INV(SQR(dx));
+ CCTK_REAL const p1ody2 = INV(SQR(dy));
+ CCTK_REAL const p1odz2 = INV(SQR(dz));
+ CCTK_REAL const pm1o12dx2 = -0.0833333333333333333333333333333*INV(SQR(dx));
+ CCTK_REAL const pm1o12dy2 = -0.0833333333333333333333333333333*INV(SQR(dy));
+ CCTK_REAL const pm1o12dz2 = -0.0833333333333333333333333333333*INV(SQR(dz));
+
+ /* Assign local copies of arrays functions */
+
+
+
+ /* Calculate temporaries and arrays functions */
+
+ /* Copy local copies back to grid functions */
+ CAKERNEL_calc_rhs_Computations_Begin
+
+ /* Assign local copies of grid functions */
+
+ CCTK_REAL piL = I3D(pi,0,0,0);
+
+
+ /* Include user supplied include files */
+
+ /* Precompute derivatives */
+
+ switch(fdOrder)
+ {
+ case 2:
+ break;
+
+ case 4:
+ break;
+ }
+
+ /* Calculate temporaries and grid functions */
+ CCTK_REAL phirhsL = piL;
+
+ CCTK_REAL pirhsL = 0;
+
+ /* Copy local copies back to grid functions */
+ I3D(phirhs,0,0,0) = phirhsL;
+ I3D(pirhs,0,0,0) = pirhsL;
+
+ CAKERNEL_calc_rhs_Computations_End
+
+CAKERNEL_calc_rhs_End
diff --git a/Examples/WaveCaKernelScript/src/CaKernel__initial_gaussian_calc.code b/Examples/WaveCaKernelScript/src/CaKernel__initial_gaussian_calc.code
new file mode 100644
index 0000000..e5851eb
--- /dev/null
+++ b/Examples/WaveCaKernelScript/src/CaKernel__initial_gaussian_calc.code
@@ -0,0 +1,98 @@
+#undef KRANC_DIFF_FUNCTIONS
+#define KRANC_C
+#include "Differencing.h"
+#include "GenericFD.h"
+
+#undef KRANC_GFOFFSET3D
+#define KRANC_GFOFFSET3D(u,i,j,k) I3D(u,i,j,k)
+
+
+/* Define macros used in calculations */
+#define INITVALUE (42)
+#define QAD(x) (SQR(SQR(x)))
+#define INV(x) ((1.0) / (x))
+#define SQR(x) ((x) * (x))
+#define CUB(x) ((x) * (x) * (x))
+
+CAKERNEL_initial_gaussian_calc_Begin
+
+ /* Include user-supplied include files */
+
+ /* Initialise finite differencing variables */
+ CCTK_REAL const dx = params.cagh_dx;
+ CCTK_REAL const dy = params.cagh_dy;
+ CCTK_REAL const dz = params.cagh_dz;
+ CCTK_REAL const dt = params.cagh_dt;
+ CCTK_REAL const t = params.cagh_time;
+ CCTK_REAL const dxi = INV(dx);
+ CCTK_REAL const dyi = INV(dy);
+ CCTK_REAL const dzi = INV(dz);
+ CCTK_REAL const khalf = 0.5;
+ CCTK_REAL const kthird = 1/3.0;
+ CCTK_REAL const ktwothird = 2.0/3.0;
+ CCTK_REAL const kfourthird = 4.0/3.0;
+ CCTK_REAL const keightthird = 8.0/3.0;
+ CCTK_REAL const hdxi = 0.5 * dxi;
+ CCTK_REAL const hdyi = 0.5 * dyi;
+ CCTK_REAL const hdzi = 0.5 * dzi;
+
+ /* Initialize predefined quantities */
+ CCTK_REAL const p1o12dx = 0.0833333333333333333333333333333*INV(dx);
+ CCTK_REAL const p1o12dy = 0.0833333333333333333333333333333*INV(dy);
+ CCTK_REAL const p1o12dz = 0.0833333333333333333333333333333*INV(dz);
+ CCTK_REAL const p1o144dxdy = 0.00694444444444444444444444444444*INV(dx*dy);
+ CCTK_REAL const p1o144dxdz = 0.00694444444444444444444444444444*INV(dx*dz);
+ CCTK_REAL const p1o144dydz = 0.00694444444444444444444444444444*INV(dy*dz);
+ CCTK_REAL const p1o2dx = 0.5*INV(dx);
+ CCTK_REAL const p1o2dy = 0.5*INV(dy);
+ CCTK_REAL const p1o2dz = 0.5*INV(dz);
+ CCTK_REAL const p1o4dxdy = 0.25*INV(dx*dy);
+ CCTK_REAL const p1o4dxdz = 0.25*INV(dx*dz);
+ CCTK_REAL const p1o4dydz = 0.25*INV(dy*dz);
+ CCTK_REAL const p1odx2 = INV(SQR(dx));
+ CCTK_REAL const p1ody2 = INV(SQR(dy));
+ CCTK_REAL const p1odz2 = INV(SQR(dz));
+ CCTK_REAL const pm1o12dx2 = -0.0833333333333333333333333333333*INV(SQR(dx));
+ CCTK_REAL const pm1o12dy2 = -0.0833333333333333333333333333333*INV(SQR(dy));
+ CCTK_REAL const pm1o12dz2 = -0.0833333333333333333333333333333*INV(SQR(dz));
+
+ /* Assign local copies of arrays functions */
+
+
+
+ /* Calculate temporaries and arrays functions */
+
+ /* Copy local copies back to grid functions */
+ CAKERNEL_initial_gaussian_calc_Computations_Begin
+
+ /* Assign local copies of grid functions */
+
+ CCTK_REAL xL = I3D(x,0,0,0);
+
+
+ /* Include user supplied include files */
+
+ /* Precompute derivatives */
+
+ switch(fdOrder)
+ {
+ case 2:
+ break;
+
+ case 4:
+ break;
+ }
+
+ /* Calculate temporaries and grid functions */
+ CCTK_REAL phiL = exp(-100.*SQR(xL + t));
+
+ CCTK_REAL piL = -199.99999999999997*(xL + t)*exp(-100.*SQR(xL +
+ t));
+
+ /* Copy local copies back to grid functions */
+ I3D(phi,0,0,0) = phiL;
+ I3D(pi,0,0,0) = piL;
+
+ CAKERNEL_initial_gaussian_calc_Computations_End
+
+CAKERNEL_initial_gaussian_calc_End
diff --git a/Examples/WaveCaKernelScript/src/Differencing.h b/Examples/WaveCaKernelScript/src/Differencing.h
new file mode 100644
index 0000000..98de1a1
--- /dev/null
+++ b/Examples/WaveCaKernelScript/src/Differencing.h
@@ -0,0 +1,288 @@
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder21(u) ((-KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1o2dx)
+#else
+# define PDstandardfdOrder21(u) (PDstandardfdOrder21_impl(u,p1o2dx,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder21_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1o2dx;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder22(u) ((-KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1o2dy)
+#else
+# define PDstandardfdOrder22(u) (PDstandardfdOrder22_impl(u,p1o2dy,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder22_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1o2dy;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder23(u) ((-KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1o2dz)
+#else
+# define PDstandardfdOrder23(u) (PDstandardfdOrder23_impl(u,p1o2dz,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder23_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o2dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1o2dz;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder41(u) ((-8*KRANC_GFOFFSET3D(u,-1,0,0) + 8*KRANC_GFOFFSET3D(u,1,0,0) + KRANC_GFOFFSET3D(u,-2,0,0) - KRANC_GFOFFSET3D(u,2,0,0))*p1o12dx)
+#else
+# define PDstandardfdOrder41(u) (PDstandardfdOrder41_impl(u,p1o12dx,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder41_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dx, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-8*KRANC_GFOFFSET3D(u,-1,0,0) + 8*KRANC_GFOFFSET3D(u,1,0,0) + KRANC_GFOFFSET3D(u,-2,0,0) - KRANC_GFOFFSET3D(u,2,0,0))*p1o12dx;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder42(u) ((-8*KRANC_GFOFFSET3D(u,0,-1,0) + 8*KRANC_GFOFFSET3D(u,0,1,0) + KRANC_GFOFFSET3D(u,0,-2,0) - KRANC_GFOFFSET3D(u,0,2,0))*p1o12dy)
+#else
+# define PDstandardfdOrder42(u) (PDstandardfdOrder42_impl(u,p1o12dy,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder42_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-8*KRANC_GFOFFSET3D(u,0,-1,0) + 8*KRANC_GFOFFSET3D(u,0,1,0) + KRANC_GFOFFSET3D(u,0,-2,0) - KRANC_GFOFFSET3D(u,0,2,0))*p1o12dy;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder43(u) ((-8*KRANC_GFOFFSET3D(u,0,0,-1) + 8*KRANC_GFOFFSET3D(u,0,0,1) + KRANC_GFOFFSET3D(u,0,0,-2) - KRANC_GFOFFSET3D(u,0,0,2))*p1o12dz)
+#else
+# define PDstandardfdOrder43(u) (PDstandardfdOrder43_impl(u,p1o12dz,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder43_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o12dz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-8*KRANC_GFOFFSET3D(u,0,0,-1) + 8*KRANC_GFOFFSET3D(u,0,0,1) + KRANC_GFOFFSET3D(u,0,0,-2) - KRANC_GFOFFSET3D(u,0,0,2))*p1o12dz;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder211(u) ((-2*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1odx2)
+#else
+# define PDstandardfdOrder211(u) (PDstandardfdOrder211_impl(u,p1odx2,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder211_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder211_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-2*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0))*p1odx2;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder222(u) ((-2*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1ody2)
+#else
+# define PDstandardfdOrder222(u) (PDstandardfdOrder222_impl(u,p1ody2,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder222_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1ody2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder222_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1ody2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-2*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0))*p1ody2;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder233(u) ((-2*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1odz2)
+#else
+# define PDstandardfdOrder233(u) (PDstandardfdOrder233_impl(u,p1odz2,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder233_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder233_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1odz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-2*KRANC_GFOFFSET3D(u,0,0,0) + KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1))*p1odz2;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder411(u) ((30*KRANC_GFOFFSET3D(u,0,0,0) - 16*(KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0)) + KRANC_GFOFFSET3D(u,-2,0,0) + KRANC_GFOFFSET3D(u,2,0,0))*pm1o12dx2)
+#else
+# define PDstandardfdOrder411(u) (PDstandardfdOrder411_impl(u,pm1o12dx2,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder411_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dx2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder411_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dx2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (30*KRANC_GFOFFSET3D(u,0,0,0) - 16*(KRANC_GFOFFSET3D(u,-1,0,0) + KRANC_GFOFFSET3D(u,1,0,0)) + KRANC_GFOFFSET3D(u,-2,0,0) + KRANC_GFOFFSET3D(u,2,0,0))*pm1o12dx2;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder422(u) ((30*KRANC_GFOFFSET3D(u,0,0,0) - 16*(KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0)) + KRANC_GFOFFSET3D(u,0,-2,0) + KRANC_GFOFFSET3D(u,0,2,0))*pm1o12dy2)
+#else
+# define PDstandardfdOrder422(u) (PDstandardfdOrder422_impl(u,pm1o12dy2,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder422_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dy2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder422_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dy2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (30*KRANC_GFOFFSET3D(u,0,0,0) - 16*(KRANC_GFOFFSET3D(u,0,-1,0) + KRANC_GFOFFSET3D(u,0,1,0)) + KRANC_GFOFFSET3D(u,0,-2,0) + KRANC_GFOFFSET3D(u,0,2,0))*pm1o12dy2;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder433(u) ((30*KRANC_GFOFFSET3D(u,0,0,0) - 16*(KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1)) + KRANC_GFOFFSET3D(u,0,0,-2) + KRANC_GFOFFSET3D(u,0,0,2))*pm1o12dz2)
+#else
+# define PDstandardfdOrder433(u) (PDstandardfdOrder433_impl(u,pm1o12dz2,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder433_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dz2, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder433_impl(CCTK_REAL const* restrict const u, CCTK_REAL const pm1o12dz2, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (30*KRANC_GFOFFSET3D(u,0,0,0) - 16*(KRANC_GFOFFSET3D(u,0,0,-1) + KRANC_GFOFFSET3D(u,0,0,1)) + KRANC_GFOFFSET3D(u,0,0,-2) + KRANC_GFOFFSET3D(u,0,0,2))*pm1o12dz2;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder212(u) ((KRANC_GFOFFSET3D(u,-1,-1,0) - KRANC_GFOFFSET3D(u,-1,1,0) - KRANC_GFOFFSET3D(u,1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy)
+#else
+# define PDstandardfdOrder212(u) (PDstandardfdOrder212_impl(u,p1o4dxdy,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder212_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder212_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (KRANC_GFOFFSET3D(u,-1,-1,0) - KRANC_GFOFFSET3D(u,-1,1,0) - KRANC_GFOFFSET3D(u,1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder213(u) ((KRANC_GFOFFSET3D(u,-1,0,-1) - KRANC_GFOFFSET3D(u,-1,0,1) - KRANC_GFOFFSET3D(u,1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz)
+#else
+# define PDstandardfdOrder213(u) (PDstandardfdOrder213_impl(u,p1o4dxdz,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder213_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder213_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (KRANC_GFOFFSET3D(u,-1,0,-1) - KRANC_GFOFFSET3D(u,-1,0,1) - KRANC_GFOFFSET3D(u,1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder221(u) ((KRANC_GFOFFSET3D(u,-1,-1,0) - KRANC_GFOFFSET3D(u,-1,1,0) - KRANC_GFOFFSET3D(u,1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy)
+#else
+# define PDstandardfdOrder221(u) (PDstandardfdOrder221_impl(u,p1o4dxdy,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder221_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder221_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (KRANC_GFOFFSET3D(u,-1,-1,0) - KRANC_GFOFFSET3D(u,-1,1,0) - KRANC_GFOFFSET3D(u,1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0))*p1o4dxdy;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder223(u) ((KRANC_GFOFFSET3D(u,0,-1,-1) - KRANC_GFOFFSET3D(u,0,-1,1) - KRANC_GFOFFSET3D(u,0,1,-1) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz)
+#else
+# define PDstandardfdOrder223(u) (PDstandardfdOrder223_impl(u,p1o4dydz,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder223_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder223_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (KRANC_GFOFFSET3D(u,0,-1,-1) - KRANC_GFOFFSET3D(u,0,-1,1) - KRANC_GFOFFSET3D(u,0,1,-1) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder231(u) ((KRANC_GFOFFSET3D(u,-1,0,-1) - KRANC_GFOFFSET3D(u,-1,0,1) - KRANC_GFOFFSET3D(u,1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz)
+#else
+# define PDstandardfdOrder231(u) (PDstandardfdOrder231_impl(u,p1o4dxdz,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder231_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder231_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (KRANC_GFOFFSET3D(u,-1,0,-1) - KRANC_GFOFFSET3D(u,-1,0,1) - KRANC_GFOFFSET3D(u,1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1))*p1o4dxdz;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder232(u) ((KRANC_GFOFFSET3D(u,0,-1,-1) - KRANC_GFOFFSET3D(u,0,-1,1) - KRANC_GFOFFSET3D(u,0,1,-1) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz)
+#else
+# define PDstandardfdOrder232(u) (PDstandardfdOrder232_impl(u,p1o4dydz,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder232_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder232_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o4dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (KRANC_GFOFFSET3D(u,0,-1,-1) - KRANC_GFOFFSET3D(u,0,-1,1) - KRANC_GFOFFSET3D(u,0,1,-1) + KRANC_GFOFFSET3D(u,0,1,1))*p1o4dydz;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder412(u) ((-64*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + 64*(KRANC_GFOFFSET3D(u,-1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0)) + 8*(KRANC_GFOFFSET3D(u,-1,2,0) + KRANC_GFOFFSET3D(u,1,-2,0) + KRANC_GFOFFSET3D(u,-2,1,0) + KRANC_GFOFFSET3D(u,2,-1,0)) - 8*(KRANC_GFOFFSET3D(u,-1,-2,0) + KRANC_GFOFFSET3D(u,1,2,0) + KRANC_GFOFFSET3D(u,-2,-1,0) + KRANC_GFOFFSET3D(u,2,1,0)) + KRANC_GFOFFSET3D(u,-2,-2,0) - KRANC_GFOFFSET3D(u,-2,2,0) - KRANC_GFOFFSET3D(u,2,-2,0) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy)
+#else
+# define PDstandardfdOrder412(u) (PDstandardfdOrder412_impl(u,p1o144dxdy,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder412_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder412_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-64*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + 64*(KRANC_GFOFFSET3D(u,-1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0)) + 8*(KRANC_GFOFFSET3D(u,-1,2,0) + KRANC_GFOFFSET3D(u,1,-2,0) + KRANC_GFOFFSET3D(u,-2,1,0) + KRANC_GFOFFSET3D(u,2,-1,0)) - 8*(KRANC_GFOFFSET3D(u,-1,-2,0) + KRANC_GFOFFSET3D(u,1,2,0) + KRANC_GFOFFSET3D(u,-2,-1,0) + KRANC_GFOFFSET3D(u,2,1,0)) + KRANC_GFOFFSET3D(u,-2,-2,0) - KRANC_GFOFFSET3D(u,-2,2,0) - KRANC_GFOFFSET3D(u,2,-2,0) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder413(u) ((-64*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + 64*(KRANC_GFOFFSET3D(u,-1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1)) + 8*(KRANC_GFOFFSET3D(u,-1,0,2) + KRANC_GFOFFSET3D(u,1,0,-2) + KRANC_GFOFFSET3D(u,-2,0,1) + KRANC_GFOFFSET3D(u,2,0,-1)) - 8*(KRANC_GFOFFSET3D(u,-1,0,-2) + KRANC_GFOFFSET3D(u,1,0,2) + KRANC_GFOFFSET3D(u,-2,0,-1) + KRANC_GFOFFSET3D(u,2,0,1)) + KRANC_GFOFFSET3D(u,-2,0,-2) - KRANC_GFOFFSET3D(u,-2,0,2) - KRANC_GFOFFSET3D(u,2,0,-2) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz)
+#else
+# define PDstandardfdOrder413(u) (PDstandardfdOrder413_impl(u,p1o144dxdz,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder413_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder413_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-64*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + 64*(KRANC_GFOFFSET3D(u,-1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1)) + 8*(KRANC_GFOFFSET3D(u,-1,0,2) + KRANC_GFOFFSET3D(u,1,0,-2) + KRANC_GFOFFSET3D(u,-2,0,1) + KRANC_GFOFFSET3D(u,2,0,-1)) - 8*(KRANC_GFOFFSET3D(u,-1,0,-2) + KRANC_GFOFFSET3D(u,1,0,2) + KRANC_GFOFFSET3D(u,-2,0,-1) + KRANC_GFOFFSET3D(u,2,0,1)) + KRANC_GFOFFSET3D(u,-2,0,-2) - KRANC_GFOFFSET3D(u,-2,0,2) - KRANC_GFOFFSET3D(u,2,0,-2) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder421(u) ((-64*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + 64*(KRANC_GFOFFSET3D(u,-1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0)) + 8*(KRANC_GFOFFSET3D(u,-1,2,0) + KRANC_GFOFFSET3D(u,1,-2,0) + KRANC_GFOFFSET3D(u,-2,1,0) + KRANC_GFOFFSET3D(u,2,-1,0)) - 8*(KRANC_GFOFFSET3D(u,-1,-2,0) + KRANC_GFOFFSET3D(u,1,2,0) + KRANC_GFOFFSET3D(u,-2,-1,0) + KRANC_GFOFFSET3D(u,2,1,0)) + KRANC_GFOFFSET3D(u,-2,-2,0) - KRANC_GFOFFSET3D(u,-2,2,0) - KRANC_GFOFFSET3D(u,2,-2,0) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy)
+#else
+# define PDstandardfdOrder421(u) (PDstandardfdOrder421_impl(u,p1o144dxdy,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder421_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder421_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdy, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-64*(KRANC_GFOFFSET3D(u,-1,1,0) + KRANC_GFOFFSET3D(u,1,-1,0)) + 64*(KRANC_GFOFFSET3D(u,-1,-1,0) + KRANC_GFOFFSET3D(u,1,1,0)) + 8*(KRANC_GFOFFSET3D(u,-1,2,0) + KRANC_GFOFFSET3D(u,1,-2,0) + KRANC_GFOFFSET3D(u,-2,1,0) + KRANC_GFOFFSET3D(u,2,-1,0)) - 8*(KRANC_GFOFFSET3D(u,-1,-2,0) + KRANC_GFOFFSET3D(u,1,2,0) + KRANC_GFOFFSET3D(u,-2,-1,0) + KRANC_GFOFFSET3D(u,2,1,0)) + KRANC_GFOFFSET3D(u,-2,-2,0) - KRANC_GFOFFSET3D(u,-2,2,0) - KRANC_GFOFFSET3D(u,2,-2,0) + KRANC_GFOFFSET3D(u,2,2,0))*p1o144dxdy;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder423(u) ((-64*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + 64*(KRANC_GFOFFSET3D(u,0,-1,-1) + KRANC_GFOFFSET3D(u,0,1,1)) + 8*(KRANC_GFOFFSET3D(u,0,-1,2) + KRANC_GFOFFSET3D(u,0,1,-2) + KRANC_GFOFFSET3D(u,0,-2,1) + KRANC_GFOFFSET3D(u,0,2,-1)) - 8*(KRANC_GFOFFSET3D(u,0,-1,-2) + KRANC_GFOFFSET3D(u,0,1,2) + KRANC_GFOFFSET3D(u,0,-2,-1) + KRANC_GFOFFSET3D(u,0,2,1)) + KRANC_GFOFFSET3D(u,0,-2,-2) - KRANC_GFOFFSET3D(u,0,-2,2) - KRANC_GFOFFSET3D(u,0,2,-2) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz)
+#else
+# define PDstandardfdOrder423(u) (PDstandardfdOrder423_impl(u,p1o144dydz,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder423_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder423_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-64*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + 64*(KRANC_GFOFFSET3D(u,0,-1,-1) + KRANC_GFOFFSET3D(u,0,1,1)) + 8*(KRANC_GFOFFSET3D(u,0,-1,2) + KRANC_GFOFFSET3D(u,0,1,-2) + KRANC_GFOFFSET3D(u,0,-2,1) + KRANC_GFOFFSET3D(u,0,2,-1)) - 8*(KRANC_GFOFFSET3D(u,0,-1,-2) + KRANC_GFOFFSET3D(u,0,1,2) + KRANC_GFOFFSET3D(u,0,-2,-1) + KRANC_GFOFFSET3D(u,0,2,1)) + KRANC_GFOFFSET3D(u,0,-2,-2) - KRANC_GFOFFSET3D(u,0,-2,2) - KRANC_GFOFFSET3D(u,0,2,-2) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder431(u) ((-64*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + 64*(KRANC_GFOFFSET3D(u,-1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1)) + 8*(KRANC_GFOFFSET3D(u,-1,0,2) + KRANC_GFOFFSET3D(u,1,0,-2) + KRANC_GFOFFSET3D(u,-2,0,1) + KRANC_GFOFFSET3D(u,2,0,-1)) - 8*(KRANC_GFOFFSET3D(u,-1,0,-2) + KRANC_GFOFFSET3D(u,1,0,2) + KRANC_GFOFFSET3D(u,-2,0,-1) + KRANC_GFOFFSET3D(u,2,0,1)) + KRANC_GFOFFSET3D(u,-2,0,-2) - KRANC_GFOFFSET3D(u,-2,0,2) - KRANC_GFOFFSET3D(u,2,0,-2) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz)
+#else
+# define PDstandardfdOrder431(u) (PDstandardfdOrder431_impl(u,p1o144dxdz,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder431_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder431_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dxdz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-64*(KRANC_GFOFFSET3D(u,-1,0,1) + KRANC_GFOFFSET3D(u,1,0,-1)) + 64*(KRANC_GFOFFSET3D(u,-1,0,-1) + KRANC_GFOFFSET3D(u,1,0,1)) + 8*(KRANC_GFOFFSET3D(u,-1,0,2) + KRANC_GFOFFSET3D(u,1,0,-2) + KRANC_GFOFFSET3D(u,-2,0,1) + KRANC_GFOFFSET3D(u,2,0,-1)) - 8*(KRANC_GFOFFSET3D(u,-1,0,-2) + KRANC_GFOFFSET3D(u,1,0,2) + KRANC_GFOFFSET3D(u,-2,0,-1) + KRANC_GFOFFSET3D(u,2,0,1)) + KRANC_GFOFFSET3D(u,-2,0,-2) - KRANC_GFOFFSET3D(u,-2,0,2) - KRANC_GFOFFSET3D(u,2,0,-2) + KRANC_GFOFFSET3D(u,2,0,2))*p1o144dxdz;
+}
+#endif
+
+#ifndef KRANC_DIFF_FUNCTIONS
+# define PDstandardfdOrder432(u) ((-64*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + 64*(KRANC_GFOFFSET3D(u,0,-1,-1) + KRANC_GFOFFSET3D(u,0,1,1)) + 8*(KRANC_GFOFFSET3D(u,0,-1,2) + KRANC_GFOFFSET3D(u,0,1,-2) + KRANC_GFOFFSET3D(u,0,-2,1) + KRANC_GFOFFSET3D(u,0,2,-1)) - 8*(KRANC_GFOFFSET3D(u,0,-1,-2) + KRANC_GFOFFSET3D(u,0,1,2) + KRANC_GFOFFSET3D(u,0,-2,-1) + KRANC_GFOFFSET3D(u,0,2,1)) + KRANC_GFOFFSET3D(u,0,-2,-2) - KRANC_GFOFFSET3D(u,0,-2,2) - KRANC_GFOFFSET3D(u,0,2,-2) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz)
+#else
+# define PDstandardfdOrder432(u) (PDstandardfdOrder432_impl(u,p1o144dydz,cdj,cdk))
+static CCTK_REAL PDstandardfdOrder432_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk) CCTK_ATTRIBUTE_NOINLINE CCTK_ATTRIBUTE_UNUSED;
+static CCTK_REAL PDstandardfdOrder432_impl(CCTK_REAL const* restrict const u, CCTK_REAL const p1o144dydz, ptrdiff_t const cdj, ptrdiff_t const cdk)
+{
+ ptrdiff_t const cdi=sizeof(CCTK_REAL);
+ return (-64*(KRANC_GFOFFSET3D(u,0,-1,1) + KRANC_GFOFFSET3D(u,0,1,-1)) + 64*(KRANC_GFOFFSET3D(u,0,-1,-1) + KRANC_GFOFFSET3D(u,0,1,1)) + 8*(KRANC_GFOFFSET3D(u,0,-1,2) + KRANC_GFOFFSET3D(u,0,1,-2) + KRANC_GFOFFSET3D(u,0,-2,1) + KRANC_GFOFFSET3D(u,0,2,-1)) - 8*(KRANC_GFOFFSET3D(u,0,-1,-2) + KRANC_GFOFFSET3D(u,0,1,2) + KRANC_GFOFFSET3D(u,0,-2,-1) + KRANC_GFOFFSET3D(u,0,2,1)) + KRANC_GFOFFSET3D(u,0,-2,-2) - KRANC_GFOFFSET3D(u,0,-2,2) - KRANC_GFOFFSET3D(u,0,2,-2) + KRANC_GFOFFSET3D(u,0,2,2))*p1o144dydz;
+}
+#endif
+
diff --git a/Examples/WaveCaKernelScript/src/RegisterMoL.cc b/Examples/WaveCaKernelScript/src/RegisterMoL.cc
new file mode 100644
index 0000000..30742ce
--- /dev/null
+++ b/Examples/WaveCaKernelScript/src/RegisterMoL.cc
@@ -0,0 +1,20 @@
+/* File produced by Kranc */
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+
+extern "C" void WaveCaKernelScript_RegisterVars(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ CCTK_INT ierr = 0;
+
+ /* Register all the evolved grid functions with MoL */
+ ierr += MoLRegisterEvolved(CCTK_VarIndex("WaveCaKernelScript::phi"), CCTK_VarIndex("WaveCaKernelScript::phirhs"));
+ ierr += MoLRegisterEvolved(CCTK_VarIndex("WaveCaKernelScript::pi"), CCTK_VarIndex("WaveCaKernelScript::pirhs"));
+
+ /* Register all the evolved Array functions with MoL */
+ return;
+}
diff --git a/Examples/WaveCaKernelScript/src/RegisterSymmetries.cc b/Examples/WaveCaKernelScript/src/RegisterSymmetries.cc
new file mode 100644
index 0000000..37b8edb
--- /dev/null
+++ b/Examples/WaveCaKernelScript/src/RegisterSymmetries.cc
@@ -0,0 +1,29 @@
+/* File produced by Kranc */
+
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+#include "Symmetry.h"
+
+extern "C" void WaveCaKernelScript_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, "WaveCaKernelScript::phi");
+
+ sym[0] = 1;
+ sym[1] = 1;
+ sym[2] = 1;
+ SetCartSymVN(cctkGH, sym, "WaveCaKernelScript::pi");
+
+}
diff --git a/Examples/WaveCaKernelScript/src/Startup.cc b/Examples/WaveCaKernelScript/src/Startup.cc
new file mode 100644
index 0000000..02b0b93
--- /dev/null
+++ b/Examples/WaveCaKernelScript/src/Startup.cc
@@ -0,0 +1,10 @@
+/* File produced by Kranc */
+
+#include "cctk.h"
+
+extern "C" int WaveCaKernelScript_Startup(void)
+{
+ const char * banner = "WaveCaKernelScript";
+ CCTK_RegisterBanner(banner);
+ return 0;
+}
diff --git a/Examples/WaveCaKernelScript/src/make.code.defn b/Examples/WaveCaKernelScript/src/make.code.defn
new file mode 100644
index 0000000..b3329bd
--- /dev/null
+++ b/Examples/WaveCaKernelScript/src/make.code.defn
@@ -0,0 +1,3 @@
+# File produced by Kranc
+
+SRCS = Startup.cc RegisterSymmetries.cc RegisterMoL.cc Boundaries.cc