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authorPeter Diener <diener@diener-3.lsu.edu>2008-05-15 14:51:49 -0500
committerPeter Diener <diener@diener-3.lsu.edu>2008-05-15 14:51:49 -0500
commit3d3f5f9aa4a0d281960550f333a0925d3831402b (patch)
tree3add5a7deff7729b31ea0bd4c1ac6b1e2168c09b /ML_ADM
parent37b913a6a08192d34de0d8a0525c6e3c87b40b72 (diff)
parentefe228d96b57a11e9cd1d922b1f50703d1301853 (diff)
Merge commit 'origin/master'
Conflicts: m/Makefile
Diffstat (limited to 'ML_ADM')
-rw-r--r--ML_ADM/interface.ccl42
-rw-r--r--ML_ADM/param.ccl40
-rw-r--r--ML_ADM/schedule.ccl62
-rw-r--r--ML_ADM/src/Boundaries.c216
-rw-r--r--ML_ADM/src/ML_ADM_Minkowski.c5
-rw-r--r--ML_ADM/src/ML_ADM_RHS.c408
-rw-r--r--ML_ADM/src/ML_ADM_boundary.c5
-rw-r--r--ML_ADM/src/ML_ADM_constraints.c352
-rw-r--r--ML_ADM/src/ML_ADM_constraints_boundary.c5
-rw-r--r--ML_ADM/src/ML_ADM_convertFromADMBase.c5
-rw-r--r--ML_ADM/src/ML_ADM_convertToADMBase.c5
11 files changed, 687 insertions, 458 deletions
diff --git a/ML_ADM/interface.ccl b/ML_ADM/interface.ccl
index 305c740..cdbd29e 100644
--- a/ML_ADM/interface.ccl
+++ b/ML_ADM/interface.ccl
@@ -5,7 +5,7 @@
implements: ML_ADM
-inherits: ADMBase TmunuBase Grid GenericFD Boundary
+inherits: ADMBase Grid GenericFD Boundary
@@ -31,21 +31,21 @@ CCTK_INT FUNCTION Boundary_SelectVarForBC(CCTK_POINTER_TO_CONST IN GH, CCTK_INT
USES FUNCTION Boundary_SelectVarForBC
public:
-CCTK_REAL Ham type=GF timelevels=1 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000'
+CCTK_REAL ML_Ham type=GF timelevels=1 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000'
{
H
-} "Ham"
+} "ML_Ham"
public:
-CCTK_REAL mom type=GF timelevels=1 tags='tensortypealias="D" tensorweight=1.0000000000000000000'
+CCTK_REAL ML_mom type=GF timelevels=1 tags='tensortypealias="D" tensorweight=1.0000000000000000000'
{
M1,
M2,
M3
-} "mom"
+} "ML_mom"
public:
-CCTK_REAL ml_curvrhs type=GF timelevels=1 tags='tensortypealias="DD_sym" tensorweight=1.0000000000000000000'
+CCTK_REAL ML_curvrhs type=GF timelevels=1 tags='tensortypealias="DD_sym" tensorweight=1.0000000000000000000'
{
K11rhs,
K12rhs,
@@ -53,16 +53,16 @@ CCTK_REAL ml_curvrhs type=GF timelevels=1 tags='tensortypealias="DD_sym" tensorw
K22rhs,
K23rhs,
K33rhs
-} "ml_curvrhs"
+} "ML_curvrhs"
public:
-CCTK_REAL ml_lapserhs type=GF timelevels=1 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000'
+CCTK_REAL ML_lapserhs type=GF timelevels=1 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000'
{
alpharhs
-} "ml_lapserhs"
+} "ML_lapserhs"
public:
-CCTK_REAL ml_metricrhs type=GF timelevels=1 tags='tensortypealias="DD_sym" tensorweight=1.0000000000000000000'
+CCTK_REAL ML_metricrhs type=GF timelevels=1 tags='tensortypealias="DD_sym" tensorweight=1.0000000000000000000'
{
g11rhs,
g12rhs,
@@ -70,18 +70,18 @@ CCTK_REAL ml_metricrhs type=GF timelevels=1 tags='tensortypealias="DD_sym" tenso
g22rhs,
g23rhs,
g33rhs
-} "ml_metricrhs"
+} "ML_metricrhs"
public:
-CCTK_REAL ml_shiftrhs type=GF timelevels=1 tags='tensortypealias="U" tensorweight=1.0000000000000000000'
+CCTK_REAL ML_shiftrhs type=GF timelevels=1 tags='tensortypealias="U" tensorweight=1.0000000000000000000'
{
beta1rhs,
beta2rhs,
beta3rhs
-} "ml_shiftrhs"
+} "ML_shiftrhs"
public:
-CCTK_REAL ml_curv type=GF timelevels=3 tags='tensortypealias="DD_sym" tensorweight=1.0000000000000000000'
+CCTK_REAL ML_curv type=GF timelevels=3 tags='tensortypealias="DD_sym" tensorweight=1.0000000000000000000'
{
K11,
K12,
@@ -89,16 +89,16 @@ CCTK_REAL ml_curv type=GF timelevels=3 tags='tensortypealias="DD_sym" tensorweig
K22,
K23,
K33
-} "ml_curv"
+} "ML_curv"
public:
-CCTK_REAL ml_lapse type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000'
+CCTK_REAL ML_lapse type=GF timelevels=3 tags='tensortypealias="Scalar" tensorweight=1.0000000000000000000'
{
alpha
-} "ml_lapse"
+} "ML_lapse"
public:
-CCTK_REAL ml_metric type=GF timelevels=3 tags='tensortypealias="DD_sym" tensorweight=1.0000000000000000000'
+CCTK_REAL ML_metric type=GF timelevels=3 tags='tensortypealias="DD_sym" tensorweight=1.0000000000000000000'
{
g11,
g12,
@@ -106,12 +106,12 @@ CCTK_REAL ml_metric type=GF timelevels=3 tags='tensortypealias="DD_sym" tensorwe
g22,
g23,
g33
-} "ml_metric"
+} "ML_metric"
public:
-CCTK_REAL ml_shift type=GF timelevels=3 tags='tensortypealias="U" tensorweight=1.0000000000000000000'
+CCTK_REAL ML_shift type=GF timelevels=3 tags='tensortypealias="U" tensorweight=1.0000000000000000000'
{
beta1,
beta2,
beta3
-} "ml_shift"
+} "ML_shift"
diff --git a/ML_ADM/param.ccl b/ML_ADM/param.ccl
index db99057..b22e4ba 100644
--- a/ML_ADM/param.ccl
+++ b/ML_ADM/param.ccl
@@ -19,9 +19,9 @@ USES CCTK_INT MoL_Num_Evolved_Vars
USES CCTK_INT MoL_Num_Constrained_Vars
restricted:
-CCTK_REAL verbose "verbose"
+CCTK_INT verbose "verbose"
{
- "*:*" :: ""
+ *:* :: ""
} 0
private:
@@ -47,8 +47,8 @@ CCTK_INT ML_ADM_MaxNumEvolvedVars "Number of evolved variables used by this thor
restricted:
CCTK_INT ML_ADM_MaxNumConstrainedVars "Number of constrained variables used by this thorn" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Constrained_Vars
{
- 38:38 :: "Number of constrained variables used by this thorn"
-} 38
+ 65:65 :: "Number of constrained variables used by this thorn"
+} 65
restricted:
CCTK_INT timelevels "Number of active timelevels"
@@ -333,7 +333,7 @@ KEYWORD beta3_bound "Boundary condition to implement"
} "skip"
private:
-KEYWORD ml_curv_bound "Boundary condition to implement"
+KEYWORD ML_curv_bound "Boundary condition to implement"
{
"flat" :: "Flat boundary condition"
"none" :: "No boundary condition"
@@ -345,7 +345,7 @@ KEYWORD ml_curv_bound "Boundary condition to implement"
} "skip"
private:
-KEYWORD ml_lapse_bound "Boundary condition to implement"
+KEYWORD ML_lapse_bound "Boundary condition to implement"
{
"flat" :: "Flat boundary condition"
"none" :: "No boundary condition"
@@ -357,7 +357,7 @@ KEYWORD ml_lapse_bound "Boundary condition to implement"
} "skip"
private:
-KEYWORD ml_metric_bound "Boundary condition to implement"
+KEYWORD ML_metric_bound "Boundary condition to implement"
{
"flat" :: "Flat boundary condition"
"none" :: "No boundary condition"
@@ -369,7 +369,7 @@ KEYWORD ml_metric_bound "Boundary condition to implement"
} "skip"
private:
-KEYWORD ml_shift_bound "Boundary condition to implement"
+KEYWORD ML_shift_bound "Boundary condition to implement"
{
"flat" :: "Flat boundary condition"
"none" :: "No boundary condition"
@@ -477,25 +477,25 @@ CCTK_REAL beta3_bound_speed "characteristic speed at boundary"
} 1.
private:
-CCTK_REAL ml_curv_bound_speed "characteristic speed at boundary"
+CCTK_REAL ML_curv_bound_speed "characteristic speed at boundary"
{
"0:*" :: "outgoing characteristic speed > 0"
} 1.
private:
-CCTK_REAL ml_lapse_bound_speed "characteristic speed at boundary"
+CCTK_REAL ML_lapse_bound_speed "characteristic speed at boundary"
{
"0:*" :: "outgoing characteristic speed > 0"
} 1.
private:
-CCTK_REAL ml_metric_bound_speed "characteristic speed at boundary"
+CCTK_REAL ML_metric_bound_speed "characteristic speed at boundary"
{
"0:*" :: "outgoing characteristic speed > 0"
} 1.
private:
-CCTK_REAL ml_shift_bound_speed "characteristic speed at boundary"
+CCTK_REAL ML_shift_bound_speed "characteristic speed at boundary"
{
"0:*" :: "outgoing characteristic speed > 0"
} 1.
@@ -597,25 +597,25 @@ CCTK_REAL beta3_bound_limit "limit value for r -> infinity"
} 0.
private:
-CCTK_REAL ml_curv_bound_limit "limit value for r -> infinity"
+CCTK_REAL ML_curv_bound_limit "limit value for r -> infinity"
{
"*:*" :: "value of limit value is unrestricted"
} 0.
private:
-CCTK_REAL ml_lapse_bound_limit "limit value for r -> infinity"
+CCTK_REAL ML_lapse_bound_limit "limit value for r -> infinity"
{
"*:*" :: "value of limit value is unrestricted"
} 0.
private:
-CCTK_REAL ml_metric_bound_limit "limit value for r -> infinity"
+CCTK_REAL ML_metric_bound_limit "limit value for r -> infinity"
{
"*:*" :: "value of limit value is unrestricted"
} 0.
private:
-CCTK_REAL ml_shift_bound_limit "limit value for r -> infinity"
+CCTK_REAL ML_shift_bound_limit "limit value for r -> infinity"
{
"*:*" :: "value of limit value is unrestricted"
} 0.
@@ -717,25 +717,25 @@ CCTK_REAL beta3_bound_scalar "Dirichlet boundary value"
} 0.
private:
-CCTK_REAL ml_curv_bound_scalar "Dirichlet boundary value"
+CCTK_REAL ML_curv_bound_scalar "Dirichlet boundary value"
{
"*:*" :: "unrestricted"
} 0.
private:
-CCTK_REAL ml_lapse_bound_scalar "Dirichlet boundary value"
+CCTK_REAL ML_lapse_bound_scalar "Dirichlet boundary value"
{
"*:*" :: "unrestricted"
} 0.
private:
-CCTK_REAL ml_metric_bound_scalar "Dirichlet boundary value"
+CCTK_REAL ML_metric_bound_scalar "Dirichlet boundary value"
{
"*:*" :: "unrestricted"
} 0.
private:
-CCTK_REAL ml_shift_bound_scalar "Dirichlet boundary value"
+CCTK_REAL ML_shift_bound_scalar "Dirichlet boundary value"
{
"*:*" :: "unrestricted"
} 0.
diff --git a/ML_ADM/schedule.ccl b/ML_ADM/schedule.ccl
index e66f883..88c07e5 100644
--- a/ML_ADM/schedule.ccl
+++ b/ML_ADM/schedule.ccl
@@ -4,68 +4,68 @@
# Mathematica script written by Ian Hinder and Sascha Husa
-STORAGE: Ham[1]
+STORAGE: ML_Ham[1]
-STORAGE: mom[1]
+STORAGE: ML_mom[1]
-STORAGE: ml_curvrhs[1]
+STORAGE: ML_curvrhs[1]
-STORAGE: ml_lapserhs[1]
+STORAGE: ML_lapserhs[1]
-STORAGE: ml_metricrhs[1]
+STORAGE: ML_metricrhs[1]
-STORAGE: ml_shiftrhs[1]
+STORAGE: ML_shiftrhs[1]
if (timelevels == 1)
{
- STORAGE: ml_curv[1]
+ STORAGE: ML_curv[1]
}
if (timelevels == 2)
{
- STORAGE: ml_curv[2]
+ STORAGE: ML_curv[2]
}
if (timelevels == 3)
{
- STORAGE: ml_curv[3]
+ STORAGE: ML_curv[3]
}
if (timelevels == 1)
{
- STORAGE: ml_lapse[1]
+ STORAGE: ML_lapse[1]
}
if (timelevels == 2)
{
- STORAGE: ml_lapse[2]
+ STORAGE: ML_lapse[2]
}
if (timelevels == 3)
{
- STORAGE: ml_lapse[3]
+ STORAGE: ML_lapse[3]
}
if (timelevels == 1)
{
- STORAGE: ml_metric[1]
+ STORAGE: ML_metric[1]
}
if (timelevels == 2)
{
- STORAGE: ml_metric[2]
+ STORAGE: ML_metric[2]
}
if (timelevels == 3)
{
- STORAGE: ml_metric[3]
+ STORAGE: ML_metric[3]
}
if (timelevels == 1)
{
- STORAGE: ml_shift[1]
+ STORAGE: ML_shift[1]
}
if (timelevels == 2)
{
- STORAGE: ml_shift[2]
+ STORAGE: ML_shift[2]
}
if (timelevels == 3)
{
- STORAGE: ml_shift[3]
+ STORAGE: ML_shift[3]
}
schedule ML_ADM_Startup at STARTUP
@@ -112,10 +112,10 @@ schedule ML_ADM_RHS IN MoL_CalcRHS
schedule ML_ADM_RHS AT analysis
{
LANG: C
- SYNC: ml_curvrhs
- SYNC: ml_lapserhs
- SYNC: ml_metricrhs
- SYNC: ml_shiftrhs
+ SYNC: ML_curvrhs
+ SYNC: ML_lapserhs
+ SYNC: ML_metricrhs
+ SYNC: ML_shiftrhs
} "ML_ADM_RHS"
@@ -127,7 +127,7 @@ if (CCTK_EQUALS(my_boundary_condition, "Minkowski"))
} "ML_ADM_boundary"
}
-schedule ML_ADM_convertToADMBase IN MoL_PostStep AFTER (ML_ADM_ApplyBCs ML_ADM_boundary)
+schedule ML_ADM_convertToADMBase IN MoL_PostStep AFTER ML_ADM_ApplyBCs
{
LANG: C
} "ML_ADM_convertToADMBase"
@@ -135,10 +135,10 @@ schedule ML_ADM_convertToADMBase IN MoL_PostStep AFTER (ML_ADM_ApplyBCs ML_ADM_b
schedule ML_ADM_constraints AT analysis
{
LANG: C
- SYNC: Ham
- SYNC: mom
- TRIGGERS: Ham
- TRIGGERS: mom
+ SYNC: ML_Ham
+ SYNC: ML_mom
+ TRIGGERS: ML_Ham
+ TRIGGERS: ML_mom
} "ML_ADM_constraints"
schedule ML_ADM_constraints_boundary AT analysis AFTER ML_ADM_constraints
@@ -150,10 +150,10 @@ schedule ML_ADM_ApplyBoundConds in MoL_PostStep
{
LANG: C
OPTIONS: level
- SYNC: ml_curv
- SYNC: ml_lapse
- SYNC: ml_metric
- SYNC: ml_shift
+ SYNC: ML_curv
+ SYNC: ML_lapse
+ SYNC: ML_metric
+ SYNC: ML_shift
} "apply boundary conditions"
schedule ML_ADM_CheckBoundaries at BASEGRID
diff --git a/ML_ADM/src/Boundaries.c b/ML_ADM/src/Boundaries.c
index 8c6c288..de39fc6 100644
--- a/ML_ADM/src/Boundaries.c
+++ b/ML_ADM/src/Boundaries.c
@@ -35,48 +35,48 @@ void ML_ADM_ApplyBoundConds(CCTK_ARGUMENTS)
CCTK_INT ierr = 0;
- if (CCTK_EQUALS(ml_curv_bound, "none" ) ||
- CCTK_EQUALS(ml_curv_bound, "static") ||
- CCTK_EQUALS(ml_curv_bound, "flat" ) ||
- CCTK_EQUALS(ml_curv_bound, "zero" ) )
+ if (CCTK_EQUALS(ML_curv_bound, "none" ) ||
+ CCTK_EQUALS(ML_curv_bound, "static") ||
+ CCTK_EQUALS(ML_curv_bound, "flat" ) ||
+ CCTK_EQUALS(ML_curv_bound, "zero" ) )
{
ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1,
- "ML_ADM::ml_curv", ml_curv_bound);
+ "ML_ADM::ML_curv", ML_curv_bound);
if (ierr < 0)
- CCTK_WARN(0, "Failed to register ml_curv_bound BC for ML_ADM::ml_curv!");
+ CCTK_WARN(0, "Failed to register ML_curv_bound BC for ML_ADM::ML_curv!");
}
- if (CCTK_EQUALS(ml_lapse_bound, "none" ) ||
- CCTK_EQUALS(ml_lapse_bound, "static") ||
- CCTK_EQUALS(ml_lapse_bound, "flat" ) ||
- CCTK_EQUALS(ml_lapse_bound, "zero" ) )
+ if (CCTK_EQUALS(ML_lapse_bound, "none" ) ||
+ CCTK_EQUALS(ML_lapse_bound, "static") ||
+ CCTK_EQUALS(ML_lapse_bound, "flat" ) ||
+ CCTK_EQUALS(ML_lapse_bound, "zero" ) )
{
ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1,
- "ML_ADM::ml_lapse", ml_lapse_bound);
+ "ML_ADM::ML_lapse", ML_lapse_bound);
if (ierr < 0)
- CCTK_WARN(0, "Failed to register ml_lapse_bound BC for ML_ADM::ml_lapse!");
+ CCTK_WARN(0, "Failed to register ML_lapse_bound BC for ML_ADM::ML_lapse!");
}
- if (CCTK_EQUALS(ml_metric_bound, "none" ) ||
- CCTK_EQUALS(ml_metric_bound, "static") ||
- CCTK_EQUALS(ml_metric_bound, "flat" ) ||
- CCTK_EQUALS(ml_metric_bound, "zero" ) )
+ if (CCTK_EQUALS(ML_metric_bound, "none" ) ||
+ CCTK_EQUALS(ML_metric_bound, "static") ||
+ CCTK_EQUALS(ML_metric_bound, "flat" ) ||
+ CCTK_EQUALS(ML_metric_bound, "zero" ) )
{
ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1,
- "ML_ADM::ml_metric", ml_metric_bound);
+ "ML_ADM::ML_metric", ML_metric_bound);
if (ierr < 0)
- CCTK_WARN(0, "Failed to register ml_metric_bound BC for ML_ADM::ml_metric!");
+ CCTK_WARN(0, "Failed to register ML_metric_bound BC for ML_ADM::ML_metric!");
}
- if (CCTK_EQUALS(ml_shift_bound, "none" ) ||
- CCTK_EQUALS(ml_shift_bound, "static") ||
- CCTK_EQUALS(ml_shift_bound, "flat" ) ||
- CCTK_EQUALS(ml_shift_bound, "zero" ) )
+ if (CCTK_EQUALS(ML_shift_bound, "none" ) ||
+ CCTK_EQUALS(ML_shift_bound, "static") ||
+ CCTK_EQUALS(ML_shift_bound, "flat" ) ||
+ CCTK_EQUALS(ML_shift_bound, "zero" ) )
{
ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, -1,
- "ML_ADM::ml_shift", ml_shift_bound);
+ "ML_ADM::ML_shift", ML_shift_bound);
if (ierr < 0)
- CCTK_WARN(0, "Failed to register ml_shift_bound BC for ML_ADM::ml_shift!");
+ CCTK_WARN(0, "Failed to register ML_shift_bound BC for ML_ADM::ML_shift!");
}
if (CCTK_EQUALS(K11_bound, "none" ) ||
@@ -255,79 +255,79 @@ void ML_ADM_ApplyBoundConds(CCTK_ARGUMENTS)
CCTK_WARN(0, "Failed to register beta3_bound BC for ML_ADM::beta3!");
}
- if (CCTK_EQUALS(ml_curv_bound, "radiative"))
+ if (CCTK_EQUALS(ML_curv_bound, "radiative"))
{
/* apply radiation boundary condition */
- static CCTK_INT handle_ml_curv_bound = -1;
- if (handle_ml_curv_bound < 0) handle_ml_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
- if (handle_ml_curv_bound < 0) CCTK_WARN(0, "could not create table!");
- if (Util_TableSetReal(handle_ml_curv_bound , ml_curv_bound_limit, "LIMIT") < 0)
+ static CCTK_INT handle_ML_curv_bound = -1;
+ if (handle_ML_curv_bound < 0) handle_ML_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_ML_curv_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_ML_curv_bound , ML_curv_bound_limit, "LIMIT") < 0)
CCTK_WARN(0, "could not set LIMIT value in table!");
- if (Util_TableSetReal(handle_ml_curv_bound ,ml_curv_bound_speed, "SPEED") < 0)
+ if (Util_TableSetReal(handle_ML_curv_bound ,ML_curv_bound_speed, "SPEED") < 0)
CCTK_WARN(0, "could not set SPEED value in table!");
- ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ml_curv_bound,
- "ML_ADM::ml_curv", "Radiation");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_curv_bound,
+ "ML_ADM::ML_curv", "Radiation");
if (ierr < 0)
- CCTK_WARN(0, "Failed to register Radiation BC for ML_ADM::ml_curv!");
+ CCTK_WARN(0, "Failed to register Radiation BC for ML_ADM::ML_curv!");
}
- if (CCTK_EQUALS(ml_lapse_bound, "radiative"))
+ if (CCTK_EQUALS(ML_lapse_bound, "radiative"))
{
/* apply radiation boundary condition */
- static CCTK_INT handle_ml_lapse_bound = -1;
- if (handle_ml_lapse_bound < 0) handle_ml_lapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
- if (handle_ml_lapse_bound < 0) CCTK_WARN(0, "could not create table!");
- if (Util_TableSetReal(handle_ml_lapse_bound , ml_lapse_bound_limit, "LIMIT") < 0)
+ static CCTK_INT handle_ML_lapse_bound = -1;
+ if (handle_ML_lapse_bound < 0) handle_ML_lapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_ML_lapse_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_ML_lapse_bound , ML_lapse_bound_limit, "LIMIT") < 0)
CCTK_WARN(0, "could not set LIMIT value in table!");
- if (Util_TableSetReal(handle_ml_lapse_bound ,ml_lapse_bound_speed, "SPEED") < 0)
+ if (Util_TableSetReal(handle_ML_lapse_bound ,ML_lapse_bound_speed, "SPEED") < 0)
CCTK_WARN(0, "could not set SPEED value in table!");
- ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ml_lapse_bound,
- "ML_ADM::ml_lapse", "Radiation");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_lapse_bound,
+ "ML_ADM::ML_lapse", "Radiation");
if (ierr < 0)
- CCTK_WARN(0, "Failed to register Radiation BC for ML_ADM::ml_lapse!");
+ CCTK_WARN(0, "Failed to register Radiation BC for ML_ADM::ML_lapse!");
}
- if (CCTK_EQUALS(ml_metric_bound, "radiative"))
+ if (CCTK_EQUALS(ML_metric_bound, "radiative"))
{
/* apply radiation boundary condition */
- static CCTK_INT handle_ml_metric_bound = -1;
- if (handle_ml_metric_bound < 0) handle_ml_metric_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
- if (handle_ml_metric_bound < 0) CCTK_WARN(0, "could not create table!");
- if (Util_TableSetReal(handle_ml_metric_bound , ml_metric_bound_limit, "LIMIT") < 0)
+ static CCTK_INT handle_ML_metric_bound = -1;
+ if (handle_ML_metric_bound < 0) handle_ML_metric_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_ML_metric_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_ML_metric_bound , ML_metric_bound_limit, "LIMIT") < 0)
CCTK_WARN(0, "could not set LIMIT value in table!");
- if (Util_TableSetReal(handle_ml_metric_bound ,ml_metric_bound_speed, "SPEED") < 0)
+ if (Util_TableSetReal(handle_ML_metric_bound ,ML_metric_bound_speed, "SPEED") < 0)
CCTK_WARN(0, "could not set SPEED value in table!");
- ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ml_metric_bound,
- "ML_ADM::ml_metric", "Radiation");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_metric_bound,
+ "ML_ADM::ML_metric", "Radiation");
if (ierr < 0)
- CCTK_WARN(0, "Failed to register Radiation BC for ML_ADM::ml_metric!");
+ CCTK_WARN(0, "Failed to register Radiation BC for ML_ADM::ML_metric!");
}
- if (CCTK_EQUALS(ml_shift_bound, "radiative"))
+ if (CCTK_EQUALS(ML_shift_bound, "radiative"))
{
/* apply radiation boundary condition */
- static CCTK_INT handle_ml_shift_bound = -1;
- if (handle_ml_shift_bound < 0) handle_ml_shift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
- if (handle_ml_shift_bound < 0) CCTK_WARN(0, "could not create table!");
- if (Util_TableSetReal(handle_ml_shift_bound , ml_shift_bound_limit, "LIMIT") < 0)
+ static CCTK_INT handle_ML_shift_bound = -1;
+ if (handle_ML_shift_bound < 0) handle_ML_shift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_ML_shift_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_ML_shift_bound , ML_shift_bound_limit, "LIMIT") < 0)
CCTK_WARN(0, "could not set LIMIT value in table!");
- if (Util_TableSetReal(handle_ml_shift_bound ,ml_shift_bound_speed, "SPEED") < 0)
+ if (Util_TableSetReal(handle_ML_shift_bound ,ML_shift_bound_speed, "SPEED") < 0)
CCTK_WARN(0, "could not set SPEED value in table!");
- ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ml_shift_bound,
- "ML_ADM::ml_shift", "Radiation");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_shift_bound,
+ "ML_ADM::ML_shift", "Radiation");
if (ierr < 0)
- CCTK_WARN(0, "Failed to register Radiation BC for ML_ADM::ml_shift!");
+ CCTK_WARN(0, "Failed to register Radiation BC for ML_ADM::ML_shift!");
}
@@ -635,71 +635,71 @@ void ML_ADM_ApplyBoundConds(CCTK_ARGUMENTS)
}
- if (CCTK_EQUALS(ml_curv_bound, "scalar"))
+ if (CCTK_EQUALS(ML_curv_bound, "scalar"))
{
/* apply scalar boundary condition */
- static CCTK_INT handle_ml_curv_bound = -1;
- if (handle_ml_curv_bound < 0) handle_ml_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
- if (handle_ml_curv_bound < 0) CCTK_WARN(0, "could not create table!");
- if (Util_TableSetReal(handle_ml_curv_bound ,ml_curv_bound_scalar, "SCALAR") < 0)
+ static CCTK_INT handle_ML_curv_bound = -1;
+ if (handle_ML_curv_bound < 0) handle_ML_curv_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_ML_curv_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_ML_curv_bound ,ML_curv_bound_scalar, "SCALAR") < 0)
CCTK_WARN(0, "could not set SCALAR value in table!");
- ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ml_curv_bound,
- "ML_ADM::ml_curv", "scalar");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_curv_bound,
+ "ML_ADM::ML_curv", "scalar");
if (ierr < 0)
- CCTK_WARN(0, "Failed to register Scalar BC for ML_ADM::ml_curv!");
+ CCTK_WARN(0, "Failed to register Scalar BC for ML_ADM::ML_curv!");
}
- if (CCTK_EQUALS(ml_lapse_bound, "scalar"))
+ if (CCTK_EQUALS(ML_lapse_bound, "scalar"))
{
/* apply scalar boundary condition */
- static CCTK_INT handle_ml_lapse_bound = -1;
- if (handle_ml_lapse_bound < 0) handle_ml_lapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
- if (handle_ml_lapse_bound < 0) CCTK_WARN(0, "could not create table!");
- if (Util_TableSetReal(handle_ml_lapse_bound ,ml_lapse_bound_scalar, "SCALAR") < 0)
+ static CCTK_INT handle_ML_lapse_bound = -1;
+ if (handle_ML_lapse_bound < 0) handle_ML_lapse_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_ML_lapse_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_ML_lapse_bound ,ML_lapse_bound_scalar, "SCALAR") < 0)
CCTK_WARN(0, "could not set SCALAR value in table!");
- ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ml_lapse_bound,
- "ML_ADM::ml_lapse", "scalar");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_lapse_bound,
+ "ML_ADM::ML_lapse", "scalar");
if (ierr < 0)
- CCTK_WARN(0, "Failed to register Scalar BC for ML_ADM::ml_lapse!");
+ CCTK_WARN(0, "Failed to register Scalar BC for ML_ADM::ML_lapse!");
}
- if (CCTK_EQUALS(ml_metric_bound, "scalar"))
+ if (CCTK_EQUALS(ML_metric_bound, "scalar"))
{
/* apply scalar boundary condition */
- static CCTK_INT handle_ml_metric_bound = -1;
- if (handle_ml_metric_bound < 0) handle_ml_metric_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
- if (handle_ml_metric_bound < 0) CCTK_WARN(0, "could not create table!");
- if (Util_TableSetReal(handle_ml_metric_bound ,ml_metric_bound_scalar, "SCALAR") < 0)
+ static CCTK_INT handle_ML_metric_bound = -1;
+ if (handle_ML_metric_bound < 0) handle_ML_metric_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_ML_metric_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_ML_metric_bound ,ML_metric_bound_scalar, "SCALAR") < 0)
CCTK_WARN(0, "could not set SCALAR value in table!");
- ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ml_metric_bound,
- "ML_ADM::ml_metric", "scalar");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_metric_bound,
+ "ML_ADM::ML_metric", "scalar");
if (ierr < 0)
- CCTK_WARN(0, "Failed to register Scalar BC for ML_ADM::ml_metric!");
+ CCTK_WARN(0, "Failed to register Scalar BC for ML_ADM::ML_metric!");
}
- if (CCTK_EQUALS(ml_shift_bound, "scalar"))
+ if (CCTK_EQUALS(ML_shift_bound, "scalar"))
{
/* apply scalar boundary condition */
- static CCTK_INT handle_ml_shift_bound = -1;
- if (handle_ml_shift_bound < 0) handle_ml_shift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
- if (handle_ml_shift_bound < 0) CCTK_WARN(0, "could not create table!");
- if (Util_TableSetReal(handle_ml_shift_bound ,ml_shift_bound_scalar, "SCALAR") < 0)
+ static CCTK_INT handle_ML_shift_bound = -1;
+ if (handle_ML_shift_bound < 0) handle_ML_shift_bound = Util_TableCreate(UTIL_TABLE_FLAGS_CASE_INSENSITIVE);
+ if (handle_ML_shift_bound < 0) CCTK_WARN(0, "could not create table!");
+ if (Util_TableSetReal(handle_ML_shift_bound ,ML_shift_bound_scalar, "SCALAR") < 0)
CCTK_WARN(0, "could not set SCALAR value in table!");
- ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ml_shift_bound,
- "ML_ADM::ml_shift", "scalar");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, 1, handle_ML_shift_bound,
+ "ML_ADM::ML_shift", "scalar");
if (ierr < 0)
- CCTK_WARN(0, "Failed to register Scalar BC for ML_ADM::ml_shift!");
+ CCTK_WARN(0, "Failed to register Scalar BC for ML_ADM::ML_shift!");
}
@@ -980,25 +980,25 @@ void ML_ADM_ApplyBoundConds(CCTK_ARGUMENTS)
/* template for entries in parameter file:
-#$bound$#ML_ADM::ml_curv_bound = "skip"
-#$bound$#ML_ADM::ml_curv_bound_speed = 1.0
-#$bound$#ML_ADM::ml_curv_bound_limit = 0.0
-#$bound$#ML_ADM::ml_curv_bound_scalar = 0.0
+#$bound$#ML_ADM::ML_curv_bound = "skip"
+#$bound$#ML_ADM::ML_curv_bound_speed = 1.0
+#$bound$#ML_ADM::ML_curv_bound_limit = 0.0
+#$bound$#ML_ADM::ML_curv_bound_scalar = 0.0
-#$bound$#ML_ADM::ml_lapse_bound = "skip"
-#$bound$#ML_ADM::ml_lapse_bound_speed = 1.0
-#$bound$#ML_ADM::ml_lapse_bound_limit = 0.0
-#$bound$#ML_ADM::ml_lapse_bound_scalar = 0.0
+#$bound$#ML_ADM::ML_lapse_bound = "skip"
+#$bound$#ML_ADM::ML_lapse_bound_speed = 1.0
+#$bound$#ML_ADM::ML_lapse_bound_limit = 0.0
+#$bound$#ML_ADM::ML_lapse_bound_scalar = 0.0
-#$bound$#ML_ADM::ml_metric_bound = "skip"
-#$bound$#ML_ADM::ml_metric_bound_speed = 1.0
-#$bound$#ML_ADM::ml_metric_bound_limit = 0.0
-#$bound$#ML_ADM::ml_metric_bound_scalar = 0.0
+#$bound$#ML_ADM::ML_metric_bound = "skip"
+#$bound$#ML_ADM::ML_metric_bound_speed = 1.0
+#$bound$#ML_ADM::ML_metric_bound_limit = 0.0
+#$bound$#ML_ADM::ML_metric_bound_scalar = 0.0
-#$bound$#ML_ADM::ml_shift_bound = "skip"
-#$bound$#ML_ADM::ml_shift_bound_speed = 1.0
-#$bound$#ML_ADM::ml_shift_bound_limit = 0.0
-#$bound$#ML_ADM::ml_shift_bound_scalar = 0.0
+#$bound$#ML_ADM::ML_shift_bound = "skip"
+#$bound$#ML_ADM::ML_shift_bound_speed = 1.0
+#$bound$#ML_ADM::ML_shift_bound_limit = 0.0
+#$bound$#ML_ADM::ML_shift_bound_scalar = 0.0
#$bound$#ML_ADM::K11_bound = "skip"
#$bound$#ML_ADM::K11_bound_speed = 1.0
diff --git a/ML_ADM/src/ML_ADM_Minkowski.c b/ML_ADM/src/ML_ADM_Minkowski.c
index dd11e04..8912c16 100644
--- a/ML_ADM/src/ML_ADM_Minkowski.c
+++ b/ML_ADM/src/ML_ADM_Minkowski.c
@@ -5,7 +5,10 @@
#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"
@@ -84,7 +87,7 @@ void ML_ADM_Minkowski_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL n
pm1o12dz2 = -pow(dz,-2)/12.;
/* Loop over the grid points */
- _Pragma ("omp parallel")
+ #pragma omp parallel
LC_LOOP3 (ML_ADM_Minkowski,
i,j,k, min[0],min[1],min[2], max[0],max[1],max[2],
cctk_lsh[0],cctk_lsh[1],cctk_lsh[2])
diff --git a/ML_ADM/src/ML_ADM_RHS.c b/ML_ADM/src/ML_ADM_RHS.c
index 424275d..936ed3f 100644
--- a/ML_ADM/src/ML_ADM_RHS.c
+++ b/ML_ADM/src/ML_ADM_RHS.c
@@ -5,7 +5,10 @@
#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"
@@ -84,7 +87,7 @@ void ML_ADM_RHS_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL normal[
pm1o12dz2 = -pow(dz,-2)/12.;
/* Loop over the grid points */
- _Pragma ("omp parallel")
+ #pragma omp parallel
LC_LOOP3 (ML_ADM_RHS,
i,j,k, min[0],min[1],min[2], max[0],max[1],max[2],
cctk_lsh[0],cctk_lsh[1],cctk_lsh[2])
@@ -99,7 +102,8 @@ void ML_ADM_RHS_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL normal[
CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE, G122 = INITVALUE, G123 = INITVALUE, G133 = INITVALUE;
CCTK_REAL G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE, G222 = INITVALUE, G223 = INITVALUE, G233 = INITVALUE;
CCTK_REAL G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE, G333 = INITVALUE;
- CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE;
+ CCTK_REAL gu11 = INITVALUE, gu12 = INITVALUE, gu13 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu23 = INITVALUE;
+ CCTK_REAL gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE;
CCTK_REAL Km11 = INITVALUE, Km12 = INITVALUE, Km13 = INITVALUE, Km21 = INITVALUE, Km22 = INITVALUE, Km23 = INITVALUE;
CCTK_REAL Km31 = INITVALUE, Km32 = INITVALUE, Km33 = INITVALUE;
CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE;
@@ -136,31 +140,30 @@ void ML_ADM_RHS_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL normal[
CCTK_REAL PDstandardNth1g11 = INITVALUE;
CCTK_REAL PDstandardNth2g11 = INITVALUE;
CCTK_REAL PDstandardNth3g11 = INITVALUE;
+ CCTK_REAL PDstandardNth11g11 = INITVALUE;
CCTK_REAL PDstandardNth22g11 = INITVALUE;
CCTK_REAL PDstandardNth33g11 = INITVALUE;
CCTK_REAL PDstandardNth12g11 = INITVALUE;
CCTK_REAL PDstandardNth13g11 = INITVALUE;
- CCTK_REAL PDstandardNth21g11 = INITVALUE;
CCTK_REAL PDstandardNth23g11 = INITVALUE;
- CCTK_REAL PDstandardNth31g11 = INITVALUE;
- CCTK_REAL PDstandardNth32g11 = INITVALUE;
CCTK_REAL PDstandardNth1g12 = INITVALUE;
CCTK_REAL PDstandardNth2g12 = INITVALUE;
CCTK_REAL PDstandardNth3g12 = INITVALUE;
+ CCTK_REAL PDstandardNth11g12 = INITVALUE;
+ CCTK_REAL PDstandardNth22g12 = INITVALUE;
CCTK_REAL PDstandardNth33g12 = INITVALUE;
CCTK_REAL PDstandardNth12g12 = INITVALUE;
CCTK_REAL PDstandardNth13g12 = INITVALUE;
CCTK_REAL PDstandardNth21g12 = INITVALUE;
CCTK_REAL PDstandardNth23g12 = INITVALUE;
- CCTK_REAL PDstandardNth31g12 = INITVALUE;
- CCTK_REAL PDstandardNth32g12 = INITVALUE;
CCTK_REAL PDstandardNth1g13 = INITVALUE;
CCTK_REAL PDstandardNth2g13 = INITVALUE;
CCTK_REAL PDstandardNth3g13 = INITVALUE;
+ CCTK_REAL PDstandardNth11g13 = INITVALUE;
CCTK_REAL PDstandardNth22g13 = INITVALUE;
+ CCTK_REAL PDstandardNth33g13 = INITVALUE;
CCTK_REAL PDstandardNth12g13 = INITVALUE;
CCTK_REAL PDstandardNth13g13 = INITVALUE;
- CCTK_REAL PDstandardNth21g13 = INITVALUE;
CCTK_REAL PDstandardNth23g13 = INITVALUE;
CCTK_REAL PDstandardNth31g13 = INITVALUE;
CCTK_REAL PDstandardNth32g13 = INITVALUE;
@@ -168,17 +171,18 @@ void ML_ADM_RHS_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL normal[
CCTK_REAL PDstandardNth2g22 = INITVALUE;
CCTK_REAL PDstandardNth3g22 = INITVALUE;
CCTK_REAL PDstandardNth11g22 = INITVALUE;
+ CCTK_REAL PDstandardNth22g22 = INITVALUE;
CCTK_REAL PDstandardNth33g22 = INITVALUE;
CCTK_REAL PDstandardNth12g22 = INITVALUE;
CCTK_REAL PDstandardNth13g22 = INITVALUE;
CCTK_REAL PDstandardNth21g22 = INITVALUE;
CCTK_REAL PDstandardNth23g22 = INITVALUE;
- CCTK_REAL PDstandardNth31g22 = INITVALUE;
- CCTK_REAL PDstandardNth32g22 = INITVALUE;
CCTK_REAL PDstandardNth1g23 = INITVALUE;
CCTK_REAL PDstandardNth2g23 = INITVALUE;
CCTK_REAL PDstandardNth3g23 = INITVALUE;
CCTK_REAL PDstandardNth11g23 = INITVALUE;
+ CCTK_REAL PDstandardNth22g23 = INITVALUE;
+ CCTK_REAL PDstandardNth33g23 = INITVALUE;
CCTK_REAL PDstandardNth12g23 = INITVALUE;
CCTK_REAL PDstandardNth13g23 = INITVALUE;
CCTK_REAL PDstandardNth21g23 = INITVALUE;
@@ -190,29 +194,20 @@ void ML_ADM_RHS_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL normal[
CCTK_REAL PDstandardNth3g33 = INITVALUE;
CCTK_REAL PDstandardNth11g33 = INITVALUE;
CCTK_REAL PDstandardNth22g33 = INITVALUE;
+ CCTK_REAL PDstandardNth33g33 = INITVALUE;
CCTK_REAL PDstandardNth12g33 = INITVALUE;
CCTK_REAL PDstandardNth13g33 = INITVALUE;
- CCTK_REAL PDstandardNth21g33 = INITVALUE;
CCTK_REAL PDstandardNth23g33 = INITVALUE;
CCTK_REAL PDstandardNth31g33 = INITVALUE;
CCTK_REAL PDstandardNth32g33 = INITVALUE;
CCTK_REAL PDstandardNth1K11 = INITVALUE;
- CCTK_REAL PDstandardNth2K11 = INITVALUE;
- CCTK_REAL PDstandardNth3K11 = INITVALUE;
CCTK_REAL PDstandardNth1K12 = INITVALUE;
CCTK_REAL PDstandardNth2K12 = INITVALUE;
- CCTK_REAL PDstandardNth3K12 = INITVALUE;
CCTK_REAL PDstandardNth1K13 = INITVALUE;
- CCTK_REAL PDstandardNth2K13 = INITVALUE;
CCTK_REAL PDstandardNth3K13 = INITVALUE;
- CCTK_REAL PDstandardNth1K22 = INITVALUE;
CCTK_REAL PDstandardNth2K22 = INITVALUE;
- CCTK_REAL PDstandardNth3K22 = INITVALUE;
- CCTK_REAL PDstandardNth1K23 = INITVALUE;
CCTK_REAL PDstandardNth2K23 = INITVALUE;
CCTK_REAL PDstandardNth3K23 = INITVALUE;
- CCTK_REAL PDstandardNth1K33 = INITVALUE;
- CCTK_REAL PDstandardNth2K33 = INITVALUE;
CCTK_REAL PDstandardNth3K33 = INITVALUE;
/* Assign local copies of grid functions */
@@ -259,12 +254,17 @@ void ML_ADM_RHS_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL normal[
PDstandardNth1g11 = PDstandardNth1(g11, i, j, k);
PDstandardNth2g11 = PDstandardNth2(g11, i, j, k);
PDstandardNth3g11 = PDstandardNth3(g11, i, j, k);
+ PDstandardNth11g11 = PDstandardNth11(g11, i, j, k);
PDstandardNth22g11 = PDstandardNth22(g11, i, j, k);
PDstandardNth33g11 = PDstandardNth33(g11, i, j, k);
+ PDstandardNth12g11 = PDstandardNth12(g11, i, j, k);
+ PDstandardNth13g11 = PDstandardNth13(g11, i, j, k);
PDstandardNth23g11 = PDstandardNth23(g11, i, j, k);
PDstandardNth1g12 = PDstandardNth1(g12, i, j, k);
PDstandardNth2g12 = PDstandardNth2(g12, i, j, k);
PDstandardNth3g12 = PDstandardNth3(g12, i, j, k);
+ PDstandardNth11g12 = PDstandardNth11(g12, i, j, k);
+ PDstandardNth22g12 = PDstandardNth22(g12, i, j, k);
PDstandardNth33g12 = PDstandardNth33(g12, i, j, k);
PDstandardNth12g12 = PDstandardNth12(g12, i, j, k);
PDstandardNth13g12 = PDstandardNth13(g12, i, j, k);
@@ -272,7 +272,9 @@ void ML_ADM_RHS_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL normal[
PDstandardNth1g13 = PDstandardNth1(g13, i, j, k);
PDstandardNth2g13 = PDstandardNth2(g13, i, j, k);
PDstandardNth3g13 = PDstandardNth3(g13, i, j, k);
+ PDstandardNth11g13 = PDstandardNth11(g13, i, j, k);
PDstandardNth22g13 = PDstandardNth22(g13, i, j, k);
+ PDstandardNth33g13 = PDstandardNth33(g13, i, j, k);
PDstandardNth12g13 = PDstandardNth12(g13, i, j, k);
PDstandardNth13g13 = PDstandardNth13(g13, i, j, k);
PDstandardNth23g13 = PDstandardNth23(g13, i, j, k);
@@ -280,12 +282,17 @@ void ML_ADM_RHS_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL normal[
PDstandardNth2g22 = PDstandardNth2(g22, i, j, k);
PDstandardNth3g22 = PDstandardNth3(g22, i, j, k);
PDstandardNth11g22 = PDstandardNth11(g22, i, j, k);
+ PDstandardNth22g22 = PDstandardNth22(g22, i, j, k);
PDstandardNth33g22 = PDstandardNth33(g22, i, j, k);
+ PDstandardNth12g22 = PDstandardNth12(g22, i, j, k);
PDstandardNth13g22 = PDstandardNth13(g22, i, j, k);
+ PDstandardNth23g22 = PDstandardNth23(g22, i, j, k);
PDstandardNth1g23 = PDstandardNth1(g23, i, j, k);
PDstandardNth2g23 = PDstandardNth2(g23, i, j, k);
PDstandardNth3g23 = PDstandardNth3(g23, i, j, k);
PDstandardNth11g23 = PDstandardNth11(g23, i, j, k);
+ PDstandardNth22g23 = PDstandardNth22(g23, i, j, k);
+ PDstandardNth33g23 = PDstandardNth33(g23, i, j, k);
PDstandardNth12g23 = PDstandardNth12(g23, i, j, k);
PDstandardNth13g23 = PDstandardNth13(g23, i, j, k);
PDstandardNth23g23 = PDstandardNth23(g23, i, j, k);
@@ -294,206 +301,297 @@ void ML_ADM_RHS_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL normal[
PDstandardNth3g33 = PDstandardNth3(g33, i, j, k);
PDstandardNth11g33 = PDstandardNth11(g33, i, j, k);
PDstandardNth22g33 = PDstandardNth22(g33, i, j, k);
+ PDstandardNth33g33 = PDstandardNth33(g33, i, j, k);
PDstandardNth12g33 = PDstandardNth12(g33, i, j, k);
+ PDstandardNth13g33 = PDstandardNth13(g33, i, j, k);
+ PDstandardNth23g33 = PDstandardNth23(g33, i, j, k);
PDstandardNth1K11 = PDstandardNth1(K11, i, j, k);
- PDstandardNth2K11 = PDstandardNth2(K11, i, j, k);
- PDstandardNth3K11 = PDstandardNth3(K11, i, j, k);
PDstandardNth1K12 = PDstandardNth1(K12, i, j, k);
PDstandardNth2K12 = PDstandardNth2(K12, i, j, k);
- PDstandardNth3K12 = PDstandardNth3(K12, i, j, k);
PDstandardNth1K13 = PDstandardNth1(K13, i, j, k);
- PDstandardNth2K13 = PDstandardNth2(K13, i, j, k);
PDstandardNth3K13 = PDstandardNth3(K13, i, j, k);
- PDstandardNth1K22 = PDstandardNth1(K22, i, j, k);
PDstandardNth2K22 = PDstandardNth2(K22, i, j, k);
- PDstandardNth3K22 = PDstandardNth3(K22, i, j, k);
- PDstandardNth1K23 = PDstandardNth1(K23, i, j, k);
PDstandardNth2K23 = PDstandardNth2(K23, i, j, k);
PDstandardNth3K23 = PDstandardNth3(K23, i, j, k);
- PDstandardNth1K33 = PDstandardNth1(K33, i, j, k);
- PDstandardNth2K33 = PDstandardNth2(K33, i, j, k);
PDstandardNth3K33 = PDstandardNth3(K33, i, j, k);
/* Precompute derivatives (old style) */
/* Calculate temporaries and grid functions */
- detg = 2*g12L*g13L*g23L + g33L*(g11L*g22L - SQR(g12L)) - g22L*SQR(g13L) - g11L*SQR(g23L);
+ detg = 2*g12L*g13L*g23L + g33L*(g11L*g22L - SQR(g12L)) - g22L*SQR(g13L) -
+ g11L*SQR(g23L);
gu11 = INV(detg)*(g22L*g33L - SQR(g23L));
- gu21 = (g13L*g23L - g12L*g33L)*INV(detg);
+ gu12 = (g13L*g23L - g12L*g33L)*INV(detg);
- gu31 = (-(g13L*g22L) + g12L*g23L)*INV(detg);
+ gu13 = (-(g13L*g22L) + g12L*g23L)*INV(detg);
+
+ gu21 = (g13L*g23L - g12L*g33L)*INV(detg);
gu22 = INV(detg)*(g11L*g33L - SQR(g13L));
+ gu23 = (g12L*g13L - g11L*g23L)*INV(detg);
+
+ gu31 = (-(g13L*g22L) + g12L*g23L)*INV(detg);
+
gu32 = (g12L*g13L - g11L*g23L)*INV(detg);
gu33 = INV(detg)*(g11L*g22L - SQR(g12L));
- G111 = khalf*(gu11*PDstandardNth1g11 + 2*(gu21*PDstandardNth1g12 + gu31*PDstandardNth1g13) - gu21*PDstandardNth2g11 -
- gu31*PDstandardNth3g11);
+ G111 = khalf*(gu11*PDstandardNth1g11 +
+ 2*(gu12*PDstandardNth1g12 + gu13*PDstandardNth1g13) -
+ gu12*PDstandardNth2g11 - gu13*PDstandardNth3g11);
- G211 = khalf*(gu21*PDstandardNth1g11 + 2*(gu22*PDstandardNth1g12 + gu32*PDstandardNth1g13) - gu22*PDstandardNth2g11 -
- gu32*PDstandardNth3g11);
+ G211 = khalf*(gu21*PDstandardNth1g11 +
+ 2*(gu22*PDstandardNth1g12 + gu23*PDstandardNth1g13) -
+ gu22*PDstandardNth2g11 - gu23*PDstandardNth3g11);
- G311 = khalf*(gu31*PDstandardNth1g11 + 2*(gu32*PDstandardNth1g12 + gu33*PDstandardNth1g13) - gu32*PDstandardNth2g11 -
- gu33*PDstandardNth3g11);
+ G311 = khalf*(gu31*PDstandardNth1g11 +
+ 2*(gu32*PDstandardNth1g12 + gu33*PDstandardNth1g13) -
+ gu32*PDstandardNth2g11 - gu33*PDstandardNth3g11);
- G112 = khalf*(gu21*PDstandardNth1g22 + gu11*PDstandardNth2g11 +
- gu31*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12));
+ G112 = khalf*(gu12*PDstandardNth1g22 + gu11*PDstandardNth2g11 +
+ gu13*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12));
G212 = khalf*(gu22*PDstandardNth1g22 + gu21*PDstandardNth2g11 +
- gu32*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12));
+ gu23*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12));
G312 = khalf*(gu32*PDstandardNth1g22 + gu31*PDstandardNth2g11 +
gu33*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12));
- G113 = khalf*(gu31*PDstandardNth1g33 + gu11*PDstandardNth3g11 +
- gu21*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12));
+ G113 = khalf*(gu13*PDstandardNth1g33 + gu11*PDstandardNth3g11 +
+ gu12*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12));
- G213 = khalf*(gu32*PDstandardNth1g33 + gu21*PDstandardNth3g11 +
+ G213 = khalf*(gu23*PDstandardNth1g33 + gu21*PDstandardNth3g11 +
gu22*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12));
G313 = khalf*(gu33*PDstandardNth1g33 + gu31*PDstandardNth3g11 +
gu32*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12));
- G122 = khalf*(gu11*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu21*PDstandardNth2g22 +
- gu31*(2*PDstandardNth2g23 - PDstandardNth3g22));
+ G122 = khalf*(gu11*(-PDstandardNth1g22 + 2*PDstandardNth2g12) +
+ gu12*PDstandardNth2g22 + gu13*(2*PDstandardNth2g23 - PDstandardNth3g22));
- G222 = khalf*(gu21*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu22*PDstandardNth2g22 +
- gu32*(2*PDstandardNth2g23 - PDstandardNth3g22));
+ G222 = khalf*(gu21*(-PDstandardNth1g22 + 2*PDstandardNth2g12) +
+ gu22*PDstandardNth2g22 + gu23*(2*PDstandardNth2g23 - PDstandardNth3g22));
- G322 = khalf*(gu31*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu32*PDstandardNth2g22 +
- gu33*(2*PDstandardNth2g23 - PDstandardNth3g22));
+ G322 = khalf*(gu31*(-PDstandardNth1g22 + 2*PDstandardNth2g12) +
+ gu32*PDstandardNth2g22 + gu33*(2*PDstandardNth2g23 - PDstandardNth3g22));
- G123 = khalf*(gu31*PDstandardNth2g33 + gu11*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) +
- gu21*PDstandardNth3g22);
+ G123 = khalf*(gu13*PDstandardNth2g33 +
+ gu11*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) +
+ gu12*PDstandardNth3g22);
- G223 = khalf*(gu32*PDstandardNth2g33 + gu21*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) +
+ G223 = khalf*(gu23*PDstandardNth2g33 +
+ gu21*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) +
gu22*PDstandardNth3g22);
- G323 = khalf*(gu33*PDstandardNth2g33 + gu31*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) +
+ G323 = khalf*(gu33*PDstandardNth2g33 +
+ gu31*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) +
gu32*PDstandardNth3g22);
- G133 = khalf*(-(gu11*PDstandardNth1g33) - gu21*PDstandardNth2g33 + 2*gu11*PDstandardNth3g13 +
- 2*gu21*PDstandardNth3g23 + gu31*PDstandardNth3g33);
-
- G233 = khalf*(-(gu21*PDstandardNth1g33) - gu22*PDstandardNth2g33 + 2*gu21*PDstandardNth3g13 +
- 2*gu22*PDstandardNth3g23 + gu32*PDstandardNth3g33);
-
- G333 = khalf*(-(gu31*PDstandardNth1g33) - gu32*PDstandardNth2g33 + 2*gu31*PDstandardNth3g13 +
- 2*gu32*PDstandardNth3g23 + gu33*PDstandardNth3g33);
-
- R11 = khalf*(4*G213*G312 + G211*(2*G112 - 2*G222 - 2*G323) + G311*(2*G113 - 2*G333) - gu22*PDstandardNth11g22 -
- 2*(G111*G212 + G223*G311 + G111*G313 + gu32*PDstandardNth11g23) - gu33*PDstandardNth11g33 +
- 2*gu22*PDstandardNth12g12 + 2*gu32*PDstandardNth12g13 + 2*gu32*PDstandardNth13g12 + 2*gu33*PDstandardNth13g13 -
- gu22*PDstandardNth22g11 - 2*gu32*PDstandardNth23g11 - gu33*PDstandardNth33g11 + 2*SQR(G212) + 2*SQR(G313));
-
- R12 = khalf*(2*(G122*G211 + G123*G311 + G213*G322 + G313*G323) -
- 2*(G112*G212 + G112*G313 + G212*G323 + G312*G333 + gu21*PDstandardNth12g12) - gu32*PDstandardNth12g23 -
- gu33*PDstandardNth12g33 + gu31*(PDstandardNth11g23 - PDstandardNth12g13 - PDstandardNth13g12) +
- gu32*PDstandardNth13g22 + gu33*PDstandardNth13g23 + gu21*(PDstandardNth11g22 + PDstandardNth22g11) +
- gu32*PDstandardNth22g13 + gu31*PDstandardNth23g11 - gu32*PDstandardNth23g12 + gu33*PDstandardNth23g13 -
- gu33*PDstandardNth33g12);
-
- R13 = khalf*(2*(G123*G211 + G212*G223 + G133*G311 + G233*G312) -
- 2*(G213*G222 + G223*G313 + G113*(G212 + G313) + gu31*PDstandardNth13g13) +
- gu21*(PDstandardNth11g23 - PDstandardNth12g13 - PDstandardNth13g12 + PDstandardNth23g11) +
- gu22*(PDstandardNth12g23 - PDstandardNth13g22 - PDstandardNth22g13 + PDstandardNth23g12) +
- gu31*(PDstandardNth11g33 + PDstandardNth33g11) +
- gu32*(PDstandardNth12g33 - PDstandardNth13g23 - PDstandardNth23g13 + PDstandardNth33g12));
-
- R22 = khalf*(4*G123*G312 + G122*(2*G212 - 2*(G111 + G313)) + G322*(2*G223 - 2*G333) -
- 2*(G113*G322 + G222*(G112 + G323) + gu31*PDstandardNth13g22) +
- gu11*(-PDstandardNth11g22 + 2*PDstandardNth12g12 - PDstandardNth22g11) +
- gu31*(-2*PDstandardNth22g13 + 2*(PDstandardNth12g23 + PDstandardNth23g12)) +
- gu33*(-PDstandardNth22g33 + 2*PDstandardNth23g23 - PDstandardNth33g22) + 2*(SQR(G112) + SQR(G323)));
-
- R23 = khalf*(2*(G112*G113 + G122*G213 + G133*G312 + G233*G322) +
- gu11*(-PDstandardNth11g23 + PDstandardNth12g13 + PDstandardNth13g12 - PDstandardNth23g11) +
- gu21*(-PDstandardNth12g23 + PDstandardNth13g22 + PDstandardNth22g13 - PDstandardNth23g12) -
- 2*(G111*G123 + G113*G323 + G223*(G112 + G323) + gu32*PDstandardNth23g23) +
- gu31*(PDstandardNth12g33 - PDstandardNth13g23 - PDstandardNth23g13 + PDstandardNth33g12) +
- gu32*(PDstandardNth22g33 + PDstandardNth33g22));
-
- R33 = khalf*(4*G123*G213 - gu11*PDstandardNth11g33 -
- 2*(G111*G133 + G133*G212 + G112*G233 + G222*G233 + G113*G333 + G223*G333 + gu21*PDstandardNth12g33) +
- 2*(G133*G313 + G233*G323 + gu11*PDstandardNth13g13) + 2*gu21*PDstandardNth13g23 - gu22*PDstandardNth22g33 +
- 2*gu21*PDstandardNth23g13 + 2*gu22*PDstandardNth23g23 - gu11*PDstandardNth33g11 - 2*gu21*PDstandardNth33g12 -
- gu22*PDstandardNth33g22 + 2*SQR(G113) + 2*SQR(G223));
-
- Km11 = gu11*K11L + gu21*K12L + gu31*K13L;
-
- Km21 = gu21*K11L + gu22*K12L + gu32*K13L;
+ G133 = khalf*(-(gu11*PDstandardNth1g33) - gu12*PDstandardNth2g33 +
+ 2*gu11*PDstandardNth3g13 + 2*gu12*PDstandardNth3g23 +
+ gu13*PDstandardNth3g33);
+
+ G233 = khalf*(-(gu21*PDstandardNth1g33) - gu22*PDstandardNth2g33 +
+ 2*gu21*PDstandardNth3g13 + 2*gu22*PDstandardNth3g23 +
+ gu23*PDstandardNth3g33);
+
+ G333 = khalf*(-(gu31*PDstandardNth1g33) - gu32*PDstandardNth2g33 +
+ 2*gu31*PDstandardNth3g13 + 2*gu32*PDstandardNth3g23 +
+ gu33*PDstandardNth3g33);
+
+ R11 = 2*(G112*G211 + G113*G311 + G213*G312) - G111*(G111 + G212 + G313) -
+ G211*(G112 + G222 + G323) - G311*(G113 + G223 + G333) +
+ khalf*(-6*gu11*PDstandardNth11g11 +
+ gu12*(-8*PDstandardNth11g12 + 2*PDstandardNth12g12) +
+ gu22*(-9*PDstandardNth11g22 + 3*PDstandardNth12g22) +
+ gu13*(-8*PDstandardNth11g13 + 2*PDstandardNth13g13) +
+ gu33*(-9*PDstandardNth11g33 + 3*PDstandardNth13g33) +
+ gu21*(-6*PDstandardNth11g12 - PDstandardNth12g12 + PDstandardNth22g12) +
+ gu23*(-9*PDstandardNth11g23 + 3*PDstandardNth13g23 +
+ PDstandardNth22g23 - PDstandardNth23g23) +
+ gu31*(-6*PDstandardNth11g13 - PDstandardNth13g13 + PDstandardNth33g13) +
+ gu32*(-9*PDstandardNth11g23 + 3*PDstandardNth12g23 -
+ PDstandardNth23g23 + PDstandardNth33g23)) + SQR(G111) + SQR(G212) +
+ SQR(G313);
+
+ R12 = khalf*(-2*(G112*G212 + G112*G313 + G212*G323 + G312*G333) -
+ 6*(gu11*PDstandardNth12g11 + gu31*PDstandardNth12g13) -
+ 9*(gu22*PDstandardNth12g22 + gu23*PDstandardNth12g23 +
+ gu32*PDstandardNth12g23 + gu33*PDstandardNth12g33) -
+ gu31*PDstandardNth13g13 + gu21*
+ (-7*PDstandardNth12g12 + PDstandardNth22g12) +
+ gu12*(PDstandardNth11g12 - 10*PDstandardNth12g12 +
+ 3*PDstandardNth22g12) + 3*gu22*PDstandardNth22g22 +
+ gu23*PDstandardNth22g23 + 3*gu32*PDstandardNth22g23 +
+ gu13*(PDstandardNth11g13 - 9*PDstandardNth12g13 - PDstandardNth13g13 +
+ 3*PDstandardNth23g13) - gu32*PDstandardNth23g23 +
+ 2*(G122*G211 + G123*G311 + G213*G322 + G313*G323 +
+ gu23*PDstandardNth23g23) + 3*gu33*PDstandardNth23g33 +
+ gu31*PDstandardNth33g13 + gu32*PDstandardNth33g23);
+
+ R13 = khalf*(-2*(G213*G222 + G223*G313 + G113*(G212 + G313)) -
+ 6*gu11*PDstandardNth13g11 -
+ 9*(gu22*PDstandardNth13g22 + (gu23 + gu32)*PDstandardNth13g23 +
+ gu33*PDstandardNth13g33) +
+ gu21*(-PDstandardNth12g12 - 6*PDstandardNth13g12 + PDstandardNth22g12) +
+ gu12*(PDstandardNth11g12 - PDstandardNth12g12 - 9*PDstandardNth13g12 +
+ 3*PDstandardNth23g12) +
+ gu23*(PDstandardNth22g23 - PDstandardNth23g23) +
+ 2*(G123*G211 + G212*G223 + G133*G311 + G233*G312 +
+ gu32*PDstandardNth23g23) +
+ gu31*(-7*PDstandardNth13g13 + PDstandardNth33g13) +
+ gu13*(PDstandardNth11g13 - 10*PDstandardNth13g13 +
+ 3*PDstandardNth33g13) + gu32*PDstandardNth33g23 +
+ 3*(gu22*PDstandardNth23g22 + gu23*PDstandardNth33g23 +
+ gu33*PDstandardNth33g33));
+
+ R22 = -(G122*(G111 + G212 + G313)) + 2*(G122*G212 + G123*G312 + G223*G322) -
+ G222*(G112 + G222 + G323) - G322*(G113 + G223 + G333) +
+ khalf*(3*gu11*(PDstandardNth12g11 - 3*PDstandardNth22g11) +
+ gu21*(2*PDstandardNth12g12 - 8*PDstandardNth22g12) +
+ gu12*(PDstandardNth11g12 - PDstandardNth12g12 - 6*PDstandardNth22g12) -
+ 6*gu22*PDstandardNth22g22 +
+ gu13*(PDstandardNth11g13 - PDstandardNth13g13 - 9*PDstandardNth22g13 +
+ 3*PDstandardNth23g13) -
+ gu23*(8*PDstandardNth22g23 - 2*PDstandardNth23g23) +
+ gu33*(-9*PDstandardNth22g33 + 3*PDstandardNth23g33) +
+ gu31*(3*PDstandardNth12g13 - PDstandardNth13g13 - 9*PDstandardNth22g13 +
+ PDstandardNth33g13) + gu32*
+ (-6*PDstandardNth22g23 - PDstandardNth23g23 + PDstandardNth33g23)) +
+ SQR(G112) + SQR(G222) + SQR(G323);
+
+ R23 = khalf*(-2*(G111*G123 + G113*G323 + G223*(G112 + G323)) +
+ 2*(G112*G113 + G122*G213 + G133*G312 + G233*G322 +
+ gu31*PDstandardNth13g13) +
+ gu11*(3*PDstandardNth13g11 - 9*PDstandardNth23g11) +
+ gu21*(-PDstandardNth12g12 + 3*PDstandardNth13g12 + PDstandardNth22g12 -
+ 9*PDstandardNth23g12) +
+ gu12*(PDstandardNth11g12 - PDstandardNth12g12 - 6*PDstandardNth23g12) -
+ 6*gu22*PDstandardNth23g22 -
+ 9*(gu31*PDstandardNth23g13 + gu33*PDstandardNth23g33) +
+ gu31*PDstandardNth33g13 + gu13*
+ (PDstandardNth11g13 - PDstandardNth13g13 - 9*PDstandardNth23g13 +
+ 3*PDstandardNth33g13) +
+ gu32*(-7*PDstandardNth23g23 + PDstandardNth33g23) +
+ gu23*(PDstandardNth22g23 - 10*PDstandardNth23g23 +
+ 3*PDstandardNth33g23) + 3*gu33*PDstandardNth33g33);
+
+ R33 = -(G133*(G111 + G212 + G313)) + 2*(G123*G213 + G133*G313) + 2*G233*G323 -
+ G233*(G112 + G222 + G323) - G333*(G113 + G223 + G333) +
+ khalf*(3*gu11*(PDstandardNth13g11 - 3*PDstandardNth33g11) +
+ gu21*(-PDstandardNth12g12 + 3*PDstandardNth13g12 + PDstandardNth22g12 -
+ 9*PDstandardNth33g12) +
+ gu12*(PDstandardNth11g12 - PDstandardNth12g12 + 3*PDstandardNth23g12 -
+ 9*PDstandardNth33g12) +
+ gu31*(2*PDstandardNth13g13 - 8*PDstandardNth33g13) +
+ gu13*(PDstandardNth11g13 - PDstandardNth13g13 - 6*PDstandardNth33g13) +
+ 3*gu22*(PDstandardNth23g22 - 3*PDstandardNth33g22) +
+ gu32*(2*PDstandardNth23g23 - 8*PDstandardNth33g23) +
+ gu23*(PDstandardNth22g23 - PDstandardNth23g23 - 6*PDstandardNth33g23) -
+ 6*gu33*PDstandardNth33g33) + SQR(G113) + SQR(G223) + SQR(G333);
+
+ Km11 = gu11*K11L + gu12*K12L + gu13*K13L;
+
+ Km21 = gu21*K11L + gu22*K12L + gu23*K13L;
Km31 = gu31*K11L + gu32*K12L + gu33*K13L;
- Km12 = gu11*K12L + gu21*K22L + gu31*K23L;
+ Km12 = gu11*K12L + gu12*K22L + gu13*K23L;
- Km22 = gu21*K12L + gu22*K22L + gu32*K23L;
+ Km22 = gu21*K12L + gu22*K22L + gu23*K23L;
Km32 = gu31*K12L + gu32*K22L + gu33*K23L;
- Km13 = gu11*K13L + gu21*K23L + gu31*K33L;
+ Km13 = gu11*K13L + gu12*K23L + gu13*K33L;
- Km23 = gu21*K13L + gu22*K23L + gu32*K33L;
+ Km23 = gu21*K13L + gu22*K23L + gu23*K33L;
Km33 = gu31*K13L + gu32*K23L + gu33*K33L;
trK = Km11 + Km22 + Km33;
- g11rhsL = -2*alphaL*K11L + 2*(g11L*PDstandardNth1beta1 + g12L*PDstandardNth1beta2 + g13L*PDstandardNth1beta3) +
- beta1L*PDstandardNth1g11 + beta2L*PDstandardNth2g11 + beta3L*PDstandardNth3g11;
-
- g12rhsL = -2*alphaL*K12L + g22L*PDstandardNth1beta2 + g23L*PDstandardNth1beta3 + beta1L*PDstandardNth1g12 +
- g11L*PDstandardNth2beta1 + g12L*(PDstandardNth1beta1 + PDstandardNth2beta2) + g13L*PDstandardNth2beta3 +
- beta2L*PDstandardNth2g12 + beta3L*PDstandardNth3g12;
-
- g13rhsL = -2*alphaL*K13L + g23L*PDstandardNth1beta2 + g33L*PDstandardNth1beta3 + beta1L*PDstandardNth1g13 +
- beta2L*PDstandardNth2g13 + g11L*PDstandardNth3beta1 + g12L*PDstandardNth3beta2 +
- g13L*(PDstandardNth1beta1 + PDstandardNth3beta3) + beta3L*PDstandardNth3g13;
-
- g22rhsL = -2*alphaL*K22L + beta1L*PDstandardNth1g22 +
- 2*(g12L*PDstandardNth2beta1 + g22L*PDstandardNth2beta2 + g23L*PDstandardNth2beta3) + beta2L*PDstandardNth2g22 +
- beta3L*PDstandardNth3g22;
-
- g23rhsL = -2*alphaL*K23L + beta1L*PDstandardNth1g23 + g13L*PDstandardNth2beta1 + g33L*PDstandardNth2beta3 +
- beta2L*PDstandardNth2g23 + g12L*PDstandardNth3beta1 + g22L*PDstandardNth3beta2 +
- g23L*(PDstandardNth2beta2 + PDstandardNth3beta3) + beta3L*PDstandardNth3g23;
-
- g33rhsL = -2*alphaL*K33L + beta1L*PDstandardNth1g33 + beta2L*PDstandardNth2g33 +
- 2*(g13L*PDstandardNth3beta1 + g23L*PDstandardNth3beta2 + g33L*PDstandardNth3beta3) + beta3L*PDstandardNth3g33;
-
- K11rhsL = -PDstandardNth11alpha + G111*PDstandardNth1alpha +
- 2*(K11L*PDstandardNth1beta1 + K12L*PDstandardNth1beta2 + K13L*PDstandardNth1beta3) + beta1L*PDstandardNth1K11 +
- G211*PDstandardNth2alpha + beta2L*PDstandardNth2K11 + G311*PDstandardNth3alpha + beta3L*PDstandardNth3K11 +
+ g11rhsL = -2*alphaL*K11L + 4*(g11L*PDstandardNth1beta1 +
+ g12L*PDstandardNth1beta2 + g13L*PDstandardNth1beta3) +
+ beta1L*PDstandardNth1g11 + beta2L*PDstandardNth2g12 +
+ beta3L*PDstandardNth3g13;
+
+ g12rhsL = -2*alphaL*K12L + 3*(g12L*PDstandardNth1beta1 +
+ g22L*PDstandardNth1beta2 + g23L*PDstandardNth1beta3) +
+ beta1L*PDstandardNth1g12 + g12L*PDstandardNth2beta1 +
+ g22L*PDstandardNth2beta2 + g23L*PDstandardNth2beta3 +
+ beta2L*PDstandardNth2g22 + beta3L*PDstandardNth3g23;
+
+ g13rhsL = -2*alphaL*K13L + 3*(g13L*PDstandardNth1beta1 +
+ g23L*PDstandardNth1beta2 + g33L*PDstandardNth1beta3) +
+ beta1L*PDstandardNth1g13 + beta2L*PDstandardNth2g23 +
+ g13L*PDstandardNth3beta1 + g23L*PDstandardNth3beta2 +
+ g33L*PDstandardNth3beta3 + beta3L*PDstandardNth3g33;
+
+ g22rhsL = -2*alphaL*K22L + beta1L*PDstandardNth1g12 +
+ 4*(g12L*PDstandardNth2beta1 + g22L*PDstandardNth2beta2 +
+ g23L*PDstandardNth2beta3) + beta2L*PDstandardNth2g22 +
+ beta3L*PDstandardNth3g23;
+
+ g23rhsL = -2*alphaL*K23L + beta1L*PDstandardNth1g13 +
+ 3*(g13L*PDstandardNth2beta1 + g23L*PDstandardNth2beta2 +
+ g33L*PDstandardNth2beta3) + beta2L*PDstandardNth2g23 +
+ g13L*PDstandardNth3beta1 + g23L*PDstandardNth3beta2 +
+ g33L*PDstandardNth3beta3 + beta3L*PDstandardNth3g33;
+
+ g33rhsL = -2*alphaL*K33L + beta1L*PDstandardNth1g13 +
+ beta2L*PDstandardNth2g23 + 4*
+ (g13L*PDstandardNth3beta1 + g23L*PDstandardNth3beta2 +
+ g33L*PDstandardNth3beta3) + beta3L*PDstandardNth3g33;
+
+ K11rhsL = -9*PDstandardNth11alpha + G111*PDstandardNth1alpha +
+ 4*(K11L*PDstandardNth1beta1 + K12L*PDstandardNth1beta2 +
+ K13L*PDstandardNth1beta3) + beta1L*PDstandardNth1K11 +
+ G212*PDstandardNth2alpha + beta2L*PDstandardNth2K12 +
+ G313*PDstandardNth3alpha + beta3L*PDstandardNth3K13 +
alphaL*(-2*(K11L*Km11 + K12L*Km21 + K13L*Km31) + R11 + K11L*trK);
- K12rhsL = -PDstandardNth12alpha + G112*PDstandardNth1alpha + K22L*PDstandardNth1beta2 + K23L*PDstandardNth1beta3 +
- beta1L*PDstandardNth1K12 + G212*PDstandardNth2alpha + K11L*PDstandardNth2beta1 +
- K12L*(PDstandardNth1beta1 + PDstandardNth2beta2) + K13L*PDstandardNth2beta3 + beta2L*PDstandardNth2K12 +
- G312*PDstandardNth3alpha + beta3L*PDstandardNth3K12 +
- alphaL*(-2*(K11L*Km12 + K12L*Km22 + K13L*Km32) + R12 + K12L*trK);
-
- K13rhsL = -PDstandardNth13alpha + G113*PDstandardNth1alpha + K23L*PDstandardNth1beta2 + K33L*PDstandardNth1beta3 +
- beta1L*PDstandardNth1K13 + G213*PDstandardNth2alpha + beta2L*PDstandardNth2K13 + G313*PDstandardNth3alpha +
- K11L*PDstandardNth3beta1 + K12L*PDstandardNth3beta2 + K13L*(PDstandardNth1beta1 + PDstandardNth3beta3) +
- beta3L*PDstandardNth3K13 + alphaL*(-2*(K11L*Km13 + K12L*Km23 + K13L*Km33) + R13 + K13L*trK);
-
- K22rhsL = G122*PDstandardNth1alpha + beta1L*PDstandardNth1K22 - PDstandardNth22alpha + G222*PDstandardNth2alpha +
- 2*(K12L*PDstandardNth2beta1 + K22L*PDstandardNth2beta2 + K23L*PDstandardNth2beta3) + beta2L*PDstandardNth2K22 +
- G322*PDstandardNth3alpha + beta3L*PDstandardNth3K22 +
+ K12rhsL = -9*PDstandardNth12alpha + G112*PDstandardNth1alpha +
+ 3*(K12L*PDstandardNth1beta1 + K22L*PDstandardNth1beta2 +
+ K23L*PDstandardNth1beta3) + beta1L*PDstandardNth1K12 +
+ G222*PDstandardNth2alpha + K12L*PDstandardNth2beta1 +
+ K22L*PDstandardNth2beta2 + K23L*PDstandardNth2beta3 +
+ beta2L*PDstandardNth2K22 + G323*PDstandardNth3alpha +
+ beta3L*PDstandardNth3K23 + alphaL*
+ (-2*(K11L*Km12 + K12L*Km22 + K13L*Km32) + R12 + K12L*trK);
+
+ K13rhsL = -9*PDstandardNth13alpha + G113*PDstandardNth1alpha +
+ 3*(K13L*PDstandardNth1beta1 + K23L*PDstandardNth1beta2 +
+ K33L*PDstandardNth1beta3) + beta1L*PDstandardNth1K13 +
+ G223*PDstandardNth2alpha + beta2L*PDstandardNth2K23 +
+ G333*PDstandardNth3alpha + K13L*PDstandardNth3beta1 +
+ K23L*PDstandardNth3beta2 + K33L*PDstandardNth3beta3 +
+ beta3L*PDstandardNth3K33 + alphaL*
+ (-2*(K11L*Km13 + K12L*Km23 + K13L*Km33) + R13 + K13L*trK);
+
+ K22rhsL = G112*PDstandardNth1alpha + beta1L*PDstandardNth1K12 -
+ 9*PDstandardNth22alpha + G222*PDstandardNth2alpha +
+ 4*(K12L*PDstandardNth2beta1 + K22L*PDstandardNth2beta2 +
+ K23L*PDstandardNth2beta3) + beta2L*PDstandardNth2K22 +
+ G323*PDstandardNth3alpha + beta3L*PDstandardNth3K23 +
alphaL*(-2*(K12L*Km12 + K22L*Km22 + K23L*Km32) + R22 + K22L*trK);
- K23rhsL = G123*PDstandardNth1alpha + beta1L*PDstandardNth1K23 - PDstandardNth23alpha + G223*PDstandardNth2alpha +
- K13L*PDstandardNth2beta1 + K33L*PDstandardNth2beta3 + beta2L*PDstandardNth2K23 + G323*PDstandardNth3alpha +
- K12L*PDstandardNth3beta1 + K22L*PDstandardNth3beta2 + K23L*(PDstandardNth2beta2 + PDstandardNth3beta3) +
- beta3L*PDstandardNth3K23 + alphaL*(-2*(K12L*Km13 + K22L*Km23 + K23L*Km33) + R23 + K23L*trK);
-
- K33rhsL = G133*PDstandardNth1alpha + beta1L*PDstandardNth1K33 + G233*PDstandardNth2alpha + beta2L*PDstandardNth2K33 -
- PDstandardNth33alpha + G333*PDstandardNth3alpha +
- 2*(K13L*PDstandardNth3beta1 + K23L*PDstandardNth3beta2 + K33L*PDstandardNth3beta3) + beta3L*PDstandardNth3K33 +
+ K23rhsL = G113*PDstandardNth1alpha + beta1L*PDstandardNth1K13 -
+ 9*PDstandardNth23alpha + G223*PDstandardNth2alpha +
+ 3*(K13L*PDstandardNth2beta1 + K23L*PDstandardNth2beta2 +
+ K33L*PDstandardNth2beta3) + beta2L*PDstandardNth2K23 +
+ G333*PDstandardNth3alpha + K13L*PDstandardNth3beta1 +
+ K23L*PDstandardNth3beta2 + K33L*PDstandardNth3beta3 +
+ beta3L*PDstandardNth3K33 + alphaL*
+ (-2*(K12L*Km13 + K22L*Km23 + K23L*Km33) + R23 + K23L*trK);
+
+ K33rhsL = G113*PDstandardNth1alpha + beta1L*PDstandardNth1K13 +
+ G223*PDstandardNth2alpha + beta2L*PDstandardNth2K23 -
+ 9*PDstandardNth33alpha + G333*PDstandardNth3alpha +
+ 4*(K13L*PDstandardNth3beta1 + K23L*PDstandardNth3beta2 +
+ K33L*PDstandardNth3beta3) + beta3L*PDstandardNth3K33 +
alphaL*(-2*(K13L*Km13 + K23L*Km23 + K33L*Km33) + R33 + K33L*trK);
alpharhsL = 0;
diff --git a/ML_ADM/src/ML_ADM_boundary.c b/ML_ADM/src/ML_ADM_boundary.c
index 99b4b47..14f9375 100644
--- a/ML_ADM/src/ML_ADM_boundary.c
+++ b/ML_ADM/src/ML_ADM_boundary.c
@@ -5,7 +5,10 @@
#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"
@@ -84,7 +87,7 @@ void ML_ADM_boundary_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL no
pm1o12dz2 = -pow(dz,-2)/12.;
/* Loop over the grid points */
- _Pragma ("omp parallel")
+ #pragma omp parallel
LC_LOOP3 (ML_ADM_boundary,
i,j,k, min[0],min[1],min[2], max[0],max[1],max[2],
cctk_lsh[0],cctk_lsh[1],cctk_lsh[2])
diff --git a/ML_ADM/src/ML_ADM_constraints.c b/ML_ADM/src/ML_ADM_constraints.c
index cacb53f..6d8c808 100644
--- a/ML_ADM/src/ML_ADM_constraints.c
+++ b/ML_ADM/src/ML_ADM_constraints.c
@@ -5,7 +5,10 @@
#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"
@@ -84,7 +87,7 @@ void ML_ADM_constraints_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL
pm1o12dz2 = -pow(dz,-2)/12.;
/* Loop over the grid points */
- _Pragma ("omp parallel")
+ #pragma omp parallel
LC_LOOP3 (ML_ADM_constraints,
i,j,k, min[0],min[1],min[2], max[0],max[1],max[2],
cctk_lsh[0],cctk_lsh[1],cctk_lsh[2])
@@ -99,7 +102,8 @@ void ML_ADM_constraints_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL
CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE, G122 = INITVALUE, G123 = INITVALUE, G133 = INITVALUE;
CCTK_REAL G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE, G222 = INITVALUE, G223 = INITVALUE, G233 = INITVALUE;
CCTK_REAL G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE, G333 = INITVALUE;
- CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE;
+ CCTK_REAL gu11 = INITVALUE, gu12 = INITVALUE, gu13 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu23 = INITVALUE;
+ CCTK_REAL gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE;
CCTK_REAL Km11 = INITVALUE, Km12 = INITVALUE, Km13 = INITVALUE, Km21 = INITVALUE, Km22 = INITVALUE, Km23 = INITVALUE;
CCTK_REAL Km31 = INITVALUE, Km32 = INITVALUE, Km33 = INITVALUE;
CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE;
@@ -117,31 +121,30 @@ void ML_ADM_constraints_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL
CCTK_REAL PDstandardNth1g11 = INITVALUE;
CCTK_REAL PDstandardNth2g11 = INITVALUE;
CCTK_REAL PDstandardNth3g11 = INITVALUE;
+ CCTK_REAL PDstandardNth11g11 = INITVALUE;
CCTK_REAL PDstandardNth22g11 = INITVALUE;
CCTK_REAL PDstandardNth33g11 = INITVALUE;
CCTK_REAL PDstandardNth12g11 = INITVALUE;
CCTK_REAL PDstandardNth13g11 = INITVALUE;
- CCTK_REAL PDstandardNth21g11 = INITVALUE;
CCTK_REAL PDstandardNth23g11 = INITVALUE;
- CCTK_REAL PDstandardNth31g11 = INITVALUE;
- CCTK_REAL PDstandardNth32g11 = INITVALUE;
CCTK_REAL PDstandardNth1g12 = INITVALUE;
CCTK_REAL PDstandardNth2g12 = INITVALUE;
CCTK_REAL PDstandardNth3g12 = INITVALUE;
+ CCTK_REAL PDstandardNth11g12 = INITVALUE;
+ CCTK_REAL PDstandardNth22g12 = INITVALUE;
CCTK_REAL PDstandardNth33g12 = INITVALUE;
CCTK_REAL PDstandardNth12g12 = INITVALUE;
CCTK_REAL PDstandardNth13g12 = INITVALUE;
CCTK_REAL PDstandardNth21g12 = INITVALUE;
CCTK_REAL PDstandardNth23g12 = INITVALUE;
- CCTK_REAL PDstandardNth31g12 = INITVALUE;
- CCTK_REAL PDstandardNth32g12 = INITVALUE;
CCTK_REAL PDstandardNth1g13 = INITVALUE;
CCTK_REAL PDstandardNth2g13 = INITVALUE;
CCTK_REAL PDstandardNth3g13 = INITVALUE;
+ CCTK_REAL PDstandardNth11g13 = INITVALUE;
CCTK_REAL PDstandardNth22g13 = INITVALUE;
+ CCTK_REAL PDstandardNth33g13 = INITVALUE;
CCTK_REAL PDstandardNth12g13 = INITVALUE;
CCTK_REAL PDstandardNth13g13 = INITVALUE;
- CCTK_REAL PDstandardNth21g13 = INITVALUE;
CCTK_REAL PDstandardNth23g13 = INITVALUE;
CCTK_REAL PDstandardNth31g13 = INITVALUE;
CCTK_REAL PDstandardNth32g13 = INITVALUE;
@@ -149,17 +152,18 @@ void ML_ADM_constraints_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL
CCTK_REAL PDstandardNth2g22 = INITVALUE;
CCTK_REAL PDstandardNth3g22 = INITVALUE;
CCTK_REAL PDstandardNth11g22 = INITVALUE;
+ CCTK_REAL PDstandardNth22g22 = INITVALUE;
CCTK_REAL PDstandardNth33g22 = INITVALUE;
CCTK_REAL PDstandardNth12g22 = INITVALUE;
CCTK_REAL PDstandardNth13g22 = INITVALUE;
CCTK_REAL PDstandardNth21g22 = INITVALUE;
CCTK_REAL PDstandardNth23g22 = INITVALUE;
- CCTK_REAL PDstandardNth31g22 = INITVALUE;
- CCTK_REAL PDstandardNth32g22 = INITVALUE;
CCTK_REAL PDstandardNth1g23 = INITVALUE;
CCTK_REAL PDstandardNth2g23 = INITVALUE;
CCTK_REAL PDstandardNth3g23 = INITVALUE;
CCTK_REAL PDstandardNth11g23 = INITVALUE;
+ CCTK_REAL PDstandardNth22g23 = INITVALUE;
+ CCTK_REAL PDstandardNth33g23 = INITVALUE;
CCTK_REAL PDstandardNth12g23 = INITVALUE;
CCTK_REAL PDstandardNth13g23 = INITVALUE;
CCTK_REAL PDstandardNth21g23 = INITVALUE;
@@ -171,12 +175,13 @@ void ML_ADM_constraints_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL
CCTK_REAL PDstandardNth3g33 = INITVALUE;
CCTK_REAL PDstandardNth11g33 = INITVALUE;
CCTK_REAL PDstandardNth22g33 = INITVALUE;
+ CCTK_REAL PDstandardNth33g33 = INITVALUE;
CCTK_REAL PDstandardNth12g33 = INITVALUE;
CCTK_REAL PDstandardNth13g33 = INITVALUE;
- CCTK_REAL PDstandardNth21g33 = INITVALUE;
CCTK_REAL PDstandardNth23g33 = INITVALUE;
CCTK_REAL PDstandardNth31g33 = INITVALUE;
CCTK_REAL PDstandardNth32g33 = INITVALUE;
+ CCTK_REAL PDstandardNth1K11 = INITVALUE;
CCTK_REAL PDstandardNth2K11 = INITVALUE;
CCTK_REAL PDstandardNth3K11 = INITVALUE;
CCTK_REAL PDstandardNth1K12 = INITVALUE;
@@ -186,12 +191,14 @@ void ML_ADM_constraints_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL
CCTK_REAL PDstandardNth2K13 = INITVALUE;
CCTK_REAL PDstandardNth3K13 = INITVALUE;
CCTK_REAL PDstandardNth1K22 = INITVALUE;
+ CCTK_REAL PDstandardNth2K22 = INITVALUE;
CCTK_REAL PDstandardNth3K22 = INITVALUE;
CCTK_REAL PDstandardNth1K23 = INITVALUE;
CCTK_REAL PDstandardNth2K23 = INITVALUE;
CCTK_REAL PDstandardNth3K23 = INITVALUE;
CCTK_REAL PDstandardNth1K33 = INITVALUE;
CCTK_REAL PDstandardNth2K33 = INITVALUE;
+ CCTK_REAL PDstandardNth3K33 = INITVALUE;
/* Assign local copies of grid functions */
g11L = g11[index];
@@ -215,12 +222,17 @@ void ML_ADM_constraints_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL
PDstandardNth1g11 = PDstandardNth1(g11, i, j, k);
PDstandardNth2g11 = PDstandardNth2(g11, i, j, k);
PDstandardNth3g11 = PDstandardNth3(g11, i, j, k);
+ PDstandardNth11g11 = PDstandardNth11(g11, i, j, k);
PDstandardNth22g11 = PDstandardNth22(g11, i, j, k);
PDstandardNth33g11 = PDstandardNth33(g11, i, j, k);
+ PDstandardNth12g11 = PDstandardNth12(g11, i, j, k);
+ PDstandardNth13g11 = PDstandardNth13(g11, i, j, k);
PDstandardNth23g11 = PDstandardNth23(g11, i, j, k);
PDstandardNth1g12 = PDstandardNth1(g12, i, j, k);
PDstandardNth2g12 = PDstandardNth2(g12, i, j, k);
PDstandardNth3g12 = PDstandardNth3(g12, i, j, k);
+ PDstandardNth11g12 = PDstandardNth11(g12, i, j, k);
+ PDstandardNth22g12 = PDstandardNth22(g12, i, j, k);
PDstandardNth33g12 = PDstandardNth33(g12, i, j, k);
PDstandardNth12g12 = PDstandardNth12(g12, i, j, k);
PDstandardNth13g12 = PDstandardNth13(g12, i, j, k);
@@ -228,7 +240,9 @@ void ML_ADM_constraints_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL
PDstandardNth1g13 = PDstandardNth1(g13, i, j, k);
PDstandardNth2g13 = PDstandardNth2(g13, i, j, k);
PDstandardNth3g13 = PDstandardNth3(g13, i, j, k);
+ PDstandardNth11g13 = PDstandardNth11(g13, i, j, k);
PDstandardNth22g13 = PDstandardNth22(g13, i, j, k);
+ PDstandardNth33g13 = PDstandardNth33(g13, i, j, k);
PDstandardNth12g13 = PDstandardNth12(g13, i, j, k);
PDstandardNth13g13 = PDstandardNth13(g13, i, j, k);
PDstandardNth23g13 = PDstandardNth23(g13, i, j, k);
@@ -236,12 +250,17 @@ void ML_ADM_constraints_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL
PDstandardNth2g22 = PDstandardNth2(g22, i, j, k);
PDstandardNth3g22 = PDstandardNth3(g22, i, j, k);
PDstandardNth11g22 = PDstandardNth11(g22, i, j, k);
+ PDstandardNth22g22 = PDstandardNth22(g22, i, j, k);
PDstandardNth33g22 = PDstandardNth33(g22, i, j, k);
+ PDstandardNth12g22 = PDstandardNth12(g22, i, j, k);
PDstandardNth13g22 = PDstandardNth13(g22, i, j, k);
+ PDstandardNth23g22 = PDstandardNth23(g22, i, j, k);
PDstandardNth1g23 = PDstandardNth1(g23, i, j, k);
PDstandardNth2g23 = PDstandardNth2(g23, i, j, k);
PDstandardNth3g23 = PDstandardNth3(g23, i, j, k);
PDstandardNth11g23 = PDstandardNth11(g23, i, j, k);
+ PDstandardNth22g23 = PDstandardNth22(g23, i, j, k);
+ PDstandardNth33g23 = PDstandardNth33(g23, i, j, k);
PDstandardNth12g23 = PDstandardNth12(g23, i, j, k);
PDstandardNth13g23 = PDstandardNth13(g23, i, j, k);
PDstandardNth23g23 = PDstandardNth23(g23, i, j, k);
@@ -250,7 +269,11 @@ void ML_ADM_constraints_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL
PDstandardNth3g33 = PDstandardNth3(g33, i, j, k);
PDstandardNth11g33 = PDstandardNth11(g33, i, j, k);
PDstandardNth22g33 = PDstandardNth22(g33, i, j, k);
+ PDstandardNth33g33 = PDstandardNth33(g33, i, j, k);
PDstandardNth12g33 = PDstandardNth12(g33, i, j, k);
+ PDstandardNth13g33 = PDstandardNth13(g33, i, j, k);
+ PDstandardNth23g33 = PDstandardNth23(g33, i, j, k);
+ PDstandardNth1K11 = PDstandardNth1(K11, i, j, k);
PDstandardNth2K11 = PDstandardNth2(K11, i, j, k);
PDstandardNth3K11 = PDstandardNth3(K11, i, j, k);
PDstandardNth1K12 = PDstandardNth1(K12, i, j, k);
@@ -260,170 +283,263 @@ void ML_ADM_constraints_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK_REAL
PDstandardNth2K13 = PDstandardNth2(K13, i, j, k);
PDstandardNth3K13 = PDstandardNth3(K13, i, j, k);
PDstandardNth1K22 = PDstandardNth1(K22, i, j, k);
+ PDstandardNth2K22 = PDstandardNth2(K22, i, j, k);
PDstandardNth3K22 = PDstandardNth3(K22, i, j, k);
PDstandardNth1K23 = PDstandardNth1(K23, i, j, k);
PDstandardNth2K23 = PDstandardNth2(K23, i, j, k);
PDstandardNth3K23 = PDstandardNth3(K23, i, j, k);
PDstandardNth1K33 = PDstandardNth1(K33, i, j, k);
PDstandardNth2K33 = PDstandardNth2(K33, i, j, k);
+ PDstandardNth3K33 = PDstandardNth3(K33, i, j, k);
/* Precompute derivatives (old style) */
/* Calculate temporaries and grid functions */
- detg = 2*g12L*g13L*g23L + g33L*(g11L*g22L - SQR(g12L)) - g22L*SQR(g13L) - g11L*SQR(g23L);
+ detg = 2*g12L*g13L*g23L + g33L*(g11L*g22L - SQR(g12L)) - g22L*SQR(g13L) -
+ g11L*SQR(g23L);
gu11 = INV(detg)*(g22L*g33L - SQR(g23L));
- gu21 = (g13L*g23L - g12L*g33L)*INV(detg);
+ gu12 = (g13L*g23L - g12L*g33L)*INV(detg);
- gu31 = (-(g13L*g22L) + g12L*g23L)*INV(detg);
+ gu13 = (-(g13L*g22L) + g12L*g23L)*INV(detg);
+
+ gu21 = (g13L*g23L - g12L*g33L)*INV(detg);
gu22 = INV(detg)*(g11L*g33L - SQR(g13L));
+ gu23 = (g12L*g13L - g11L*g23L)*INV(detg);
+
+ gu31 = (-(g13L*g22L) + g12L*g23L)*INV(detg);
+
gu32 = (g12L*g13L - g11L*g23L)*INV(detg);
gu33 = INV(detg)*(g11L*g22L - SQR(g12L));
- G111 = khalf*(gu11*PDstandardNth1g11 + 2*(gu21*PDstandardNth1g12 + gu31*PDstandardNth1g13) - gu21*PDstandardNth2g11 -
- gu31*PDstandardNth3g11);
+ G111 = khalf*(gu11*PDstandardNth1g11 +
+ 2*(gu12*PDstandardNth1g12 + gu13*PDstandardNth1g13) -
+ gu12*PDstandardNth2g11 - gu13*PDstandardNth3g11);
- G211 = khalf*(gu21*PDstandardNth1g11 + 2*(gu22*PDstandardNth1g12 + gu32*PDstandardNth1g13) - gu22*PDstandardNth2g11 -
- gu32*PDstandardNth3g11);
+ G211 = khalf*(gu21*PDstandardNth1g11 +
+ 2*(gu22*PDstandardNth1g12 + gu23*PDstandardNth1g13) -
+ gu22*PDstandardNth2g11 - gu23*PDstandardNth3g11);
- G311 = khalf*(gu31*PDstandardNth1g11 + 2*(gu32*PDstandardNth1g12 + gu33*PDstandardNth1g13) - gu32*PDstandardNth2g11 -
- gu33*PDstandardNth3g11);
+ G311 = khalf*(gu31*PDstandardNth1g11 +
+ 2*(gu32*PDstandardNth1g12 + gu33*PDstandardNth1g13) -
+ gu32*PDstandardNth2g11 - gu33*PDstandardNth3g11);
- G112 = khalf*(gu21*PDstandardNth1g22 + gu11*PDstandardNth2g11 +
- gu31*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12));
+ G112 = khalf*(gu12*PDstandardNth1g22 + gu11*PDstandardNth2g11 +
+ gu13*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12));
G212 = khalf*(gu22*PDstandardNth1g22 + gu21*PDstandardNth2g11 +
- gu32*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12));
+ gu23*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12));
G312 = khalf*(gu32*PDstandardNth1g22 + gu31*PDstandardNth2g11 +
gu33*(PDstandardNth1g23 + PDstandardNth2g13 - PDstandardNth3g12));
- G113 = khalf*(gu31*PDstandardNth1g33 + gu11*PDstandardNth3g11 +
- gu21*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12));
+ G113 = khalf*(gu13*PDstandardNth1g33 + gu11*PDstandardNth3g11 +
+ gu12*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12));
- G213 = khalf*(gu32*PDstandardNth1g33 + gu21*PDstandardNth3g11 +
+ G213 = khalf*(gu23*PDstandardNth1g33 + gu21*PDstandardNth3g11 +
gu22*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12));
G313 = khalf*(gu33*PDstandardNth1g33 + gu31*PDstandardNth3g11 +
gu32*(PDstandardNth1g23 - PDstandardNth2g13 + PDstandardNth3g12));
- G122 = khalf*(gu11*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu21*PDstandardNth2g22 +
- gu31*(2*PDstandardNth2g23 - PDstandardNth3g22));
+ G122 = khalf*(gu11*(-PDstandardNth1g22 + 2*PDstandardNth2g12) +
+ gu12*PDstandardNth2g22 + gu13*(2*PDstandardNth2g23 - PDstandardNth3g22));
- G222 = khalf*(gu21*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu22*PDstandardNth2g22 +
- gu32*(2*PDstandardNth2g23 - PDstandardNth3g22));
+ G222 = khalf*(gu21*(-PDstandardNth1g22 + 2*PDstandardNth2g12) +
+ gu22*PDstandardNth2g22 + gu23*(2*PDstandardNth2g23 - PDstandardNth3g22));
- G322 = khalf*(gu31*(-PDstandardNth1g22 + 2*PDstandardNth2g12) + gu32*PDstandardNth2g22 +
- gu33*(2*PDstandardNth2g23 - PDstandardNth3g22));
+ G322 = khalf*(gu31*(-PDstandardNth1g22 + 2*PDstandardNth2g12) +
+ gu32*PDstandardNth2g22 + gu33*(2*PDstandardNth2g23 - PDstandardNth3g22));
- G123 = khalf*(gu31*PDstandardNth2g33 + gu11*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) +
- gu21*PDstandardNth3g22);
+ G123 = khalf*(gu13*PDstandardNth2g33 +
+ gu11*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) +
+ gu12*PDstandardNth3g22);
- G223 = khalf*(gu32*PDstandardNth2g33 + gu21*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) +
+ G223 = khalf*(gu23*PDstandardNth2g33 +
+ gu21*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) +
gu22*PDstandardNth3g22);
- G323 = khalf*(gu33*PDstandardNth2g33 + gu31*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) +
+ G323 = khalf*(gu33*PDstandardNth2g33 +
+ gu31*(-PDstandardNth1g23 + PDstandardNth2g13 + PDstandardNth3g12) +
gu32*PDstandardNth3g22);
- G133 = khalf*(-(gu11*PDstandardNth1g33) - gu21*PDstandardNth2g33 + 2*gu11*PDstandardNth3g13 +
- 2*gu21*PDstandardNth3g23 + gu31*PDstandardNth3g33);
-
- G233 = khalf*(-(gu21*PDstandardNth1g33) - gu22*PDstandardNth2g33 + 2*gu21*PDstandardNth3g13 +
- 2*gu22*PDstandardNth3g23 + gu32*PDstandardNth3g33);
-
- G333 = khalf*(-(gu31*PDstandardNth1g33) - gu32*PDstandardNth2g33 + 2*gu31*PDstandardNth3g13 +
- 2*gu32*PDstandardNth3g23 + gu33*PDstandardNth3g33);
-
- R11 = khalf*(-(gu22*PDstandardNth11g22) - 2*(G111*G122 + G111*G133 + G211*G222 + G211*G233 + G311*G322 + G311*G333 +
- gu32*PDstandardNth11g23) - gu33*PDstandardNth11g33 + 2*gu22*PDstandardNth12g12 + 2*gu32*PDstandardNth12g13 +
- 2*gu32*PDstandardNth13g12 + 2*gu33*PDstandardNth13g13 - gu22*PDstandardNth22g11 - 2*gu32*PDstandardNth23g11 -
- gu33*PDstandardNth33g11 + 2*SQR(G112) + 2*SQR(G113) + 2*SQR(G212) + 2*SQR(G213) + 2*SQR(G312) + 2*SQR(G313));
-
- R12 = khalf*(2*(G113*G123 + G213*G223 + G313*G323) - 2*(G112*G133 + G212*G233 + G312*G333 + gu21*PDstandardNth12g12) -
- gu32*PDstandardNth12g23 - gu33*PDstandardNth12g33 +
- gu31*(PDstandardNth11g23 - PDstandardNth12g13 - PDstandardNth13g12) + gu32*PDstandardNth13g22 +
- gu33*PDstandardNth13g23 + gu21*(PDstandardNth11g22 + PDstandardNth22g11) + gu32*PDstandardNth22g13 +
- gu31*PDstandardNth23g11 - gu32*PDstandardNth23g12 + gu33*PDstandardNth23g13 - gu33*PDstandardNth33g12);
-
- R13 = khalf*(2*(G112*G123 + G212*G223 + G312*G323) - 2*(G113*G122 + G213*G222 + G313*G322 + gu31*PDstandardNth13g13) +
- gu21*(PDstandardNth11g23 - PDstandardNth12g13 - PDstandardNth13g12 + PDstandardNth23g11) +
- gu22*(PDstandardNth12g23 - PDstandardNth13g22 - PDstandardNth22g13 + PDstandardNth23g12) +
- gu31*(PDstandardNth11g33 + PDstandardNth33g11) +
- gu32*(PDstandardNth12g33 - PDstandardNth13g23 - PDstandardNth23g13 + PDstandardNth33g12));
-
- R22 = khalf*(-2*(G122*(G111 + G133) + G222*(G211 + G233) + G322*(G311 + G333) + gu31*PDstandardNth13g22) +
- gu11*(-PDstandardNth11g22 + 2*PDstandardNth12g12 - PDstandardNth22g11) +
- gu31*(-2*PDstandardNth22g13 + 2*(PDstandardNth12g23 + PDstandardNth23g12)) +
- gu33*(-PDstandardNth22g33 + 2*PDstandardNth23g23 - PDstandardNth33g22) +
- 2*(SQR(G112) + SQR(G123) + SQR(G212) + SQR(G223) + SQR(G312) + SQR(G323)));
-
- R23 = khalf*(2*(G112*G113 + G212*G213 + G312*G313) +
- gu11*(-PDstandardNth11g23 + PDstandardNth12g13 + PDstandardNth13g12 - PDstandardNth23g11) +
- gu21*(-PDstandardNth12g23 + PDstandardNth13g22 + PDstandardNth22g13 - PDstandardNth23g12) -
- 2*(G111*G123 + G211*G223 + G311*G323 + gu32*PDstandardNth23g23) +
- gu31*(PDstandardNth12g33 - PDstandardNth13g23 - PDstandardNth23g13 + PDstandardNth33g12) +
- gu32*(PDstandardNth22g33 + PDstandardNth33g22));
-
- R33 = khalf*(gu11*(-PDstandardNth11g33 + 2*PDstandardNth13g13 - PDstandardNth33g11) -
- 2*((G111 + G122)*G133 + (G211 + G222)*G233 + (G311 + G322)*G333 +
- gu21*(PDstandardNth12g33 + PDstandardNth33g12)) +
- gu22*(-PDstandardNth22g33 + 2*PDstandardNth23g23 - PDstandardNth33g22) +
- 2*(gu21*(PDstandardNth13g23 + PDstandardNth23g13) + SQR(G113) + SQR(G123) + SQR(G213) + SQR(G223) + SQR(G313) +
- SQR(G323)));
-
- trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33;
-
- Km11 = gu11*K11L + gu21*K12L + gu31*K13L;
-
- Km21 = gu21*K11L + gu22*K12L + gu32*K13L;
+ G133 = khalf*(-(gu11*PDstandardNth1g33) - gu12*PDstandardNth2g33 +
+ 2*gu11*PDstandardNth3g13 + 2*gu12*PDstandardNth3g23 +
+ gu13*PDstandardNth3g33);
+
+ G233 = khalf*(-(gu21*PDstandardNth1g33) - gu22*PDstandardNth2g33 +
+ 2*gu21*PDstandardNth3g13 + 2*gu22*PDstandardNth3g23 +
+ gu23*PDstandardNth3g33);
+
+ G333 = khalf*(-(gu31*PDstandardNth1g33) - gu32*PDstandardNth2g33 +
+ 2*gu31*PDstandardNth3g13 + 2*gu32*PDstandardNth3g23 +
+ gu33*PDstandardNth3g33);
+
+ R11 = -(G111*(G111 + G122 + G133)) - G211*(G211 + G222 + G233) -
+ G311*(G311 + G322 + G333) + khalf*
+ (-6*gu11*PDstandardNth11g11 +
+ gu12*(-8*PDstandardNth11g12 + 2*PDstandardNth12g12) +
+ gu22*(-9*PDstandardNth11g22 + 3*PDstandardNth12g22) +
+ gu13*(-8*PDstandardNth11g13 + 2*PDstandardNth13g13) +
+ gu33*(-9*PDstandardNth11g33 + 3*PDstandardNth13g33) +
+ gu21*(-6*PDstandardNth11g12 - PDstandardNth12g12 + PDstandardNth22g12) +
+ gu23*(-9*PDstandardNth11g23 + 3*PDstandardNth13g23 +
+ PDstandardNth22g23 - PDstandardNth23g23) +
+ gu31*(-6*PDstandardNth11g13 - PDstandardNth13g13 + PDstandardNth33g13) +
+ gu32*(-9*PDstandardNth11g23 + 3*PDstandardNth12g23 -
+ PDstandardNth23g23 + PDstandardNth33g23)) + SQR(G111) + SQR(G112) +
+ SQR(G113) + SQR(G211) + SQR(G212) + SQR(G213) + SQR(G311) + SQR(G312) +
+ SQR(G313);
+
+ R12 = khalf*(-2*(G112*G133 + G212*G233 + G312*G333) -
+ 6*(gu11*PDstandardNth12g11 + gu31*PDstandardNth12g13) -
+ 9*(gu22*PDstandardNth12g22 + gu23*PDstandardNth12g23 +
+ gu32*PDstandardNth12g23 + gu33*PDstandardNth12g33) -
+ gu31*PDstandardNth13g13 + gu21*
+ (-7*PDstandardNth12g12 + PDstandardNth22g12) +
+ gu12*(PDstandardNth11g12 - 10*PDstandardNth12g12 +
+ 3*PDstandardNth22g12) + 3*gu22*PDstandardNth22g22 +
+ gu23*PDstandardNth22g23 + 3*gu32*PDstandardNth22g23 +
+ gu13*(PDstandardNth11g13 - 9*PDstandardNth12g13 - PDstandardNth13g13 +
+ 3*PDstandardNth23g13) - gu32*PDstandardNth23g23 +
+ 2*(G113*G123 + G213*G223 + G313*G323 + gu23*PDstandardNth23g23) +
+ 3*gu33*PDstandardNth23g33 + gu31*PDstandardNth33g13 +
+ gu32*PDstandardNth33g23);
+
+ R13 = khalf*(-2*(G113*G122 + G213*G222 + G313*G322) -
+ 6*gu11*PDstandardNth13g11 -
+ 9*(gu22*PDstandardNth13g22 + (gu23 + gu32)*PDstandardNth13g23 +
+ gu33*PDstandardNth13g33) +
+ gu21*(-PDstandardNth12g12 - 6*PDstandardNth13g12 + PDstandardNth22g12) +
+ gu12*(PDstandardNth11g12 - PDstandardNth12g12 - 9*PDstandardNth13g12 +
+ 3*PDstandardNth23g12) +
+ gu23*(PDstandardNth22g23 - PDstandardNth23g23) +
+ 2*(G112*G123 + G212*G223 + G312*G323 + gu32*PDstandardNth23g23) +
+ gu31*(-7*PDstandardNth13g13 + PDstandardNth33g13) +
+ gu13*(PDstandardNth11g13 - 10*PDstandardNth13g13 +
+ 3*PDstandardNth33g13) + gu32*PDstandardNth33g23 +
+ 3*(gu22*PDstandardNth23g22 + gu23*PDstandardNth33g23 +
+ gu33*PDstandardNth33g33));
+
+ R22 = -(G122*(G111 + G122 + G133)) - G222*(G211 + G222 + G233) -
+ G322*(G311 + G322 + G333) + khalf*
+ (3*gu11*(PDstandardNth12g11 - 3*PDstandardNth22g11) +
+ gu21*(2*PDstandardNth12g12 - 8*PDstandardNth22g12) +
+ gu12*(PDstandardNth11g12 - PDstandardNth12g12 - 6*PDstandardNth22g12) -
+ 6*gu22*PDstandardNth22g22 +
+ gu13*(PDstandardNth11g13 - PDstandardNth13g13 - 9*PDstandardNth22g13 +
+ 3*PDstandardNth23g13) -
+ gu23*(8*PDstandardNth22g23 - 2*PDstandardNth23g23) +
+ gu33*(-9*PDstandardNth22g33 + 3*PDstandardNth23g33) +
+ gu31*(3*PDstandardNth12g13 - PDstandardNth13g13 - 9*PDstandardNth22g13 +
+ PDstandardNth33g13) + gu32*
+ (-6*PDstandardNth22g23 - PDstandardNth23g23 + PDstandardNth33g23)) +
+ SQR(G112) + SQR(G122) + SQR(G123) + SQR(G212) + SQR(G222) + SQR(G223) +
+ SQR(G312) + SQR(G322) + SQR(G323);
+
+ R23 = khalf*(-2*(G111*G123 + G211*G223 + G311*G323) +
+ 2*(G112*G113 + G212*G213 + G312*G313 + gu31*PDstandardNth13g13) +
+ gu11*(3*PDstandardNth13g11 - 9*PDstandardNth23g11) +
+ gu21*(-PDstandardNth12g12 + 3*PDstandardNth13g12 + PDstandardNth22g12 -
+ 9*PDstandardNth23g12) +
+ gu12*(PDstandardNth11g12 - PDstandardNth12g12 - 6*PDstandardNth23g12) -
+ 6*gu22*PDstandardNth23g22 -
+ 9*(gu31*PDstandardNth23g13 + gu33*PDstandardNth23g33) +
+ gu31*PDstandardNth33g13 + gu13*
+ (PDstandardNth11g13 - PDstandardNth13g13 - 9*PDstandardNth23g13 +
+ 3*PDstandardNth33g13) +
+ gu32*(-7*PDstandardNth23g23 + PDstandardNth33g23) +
+ gu23*(PDstandardNth22g23 - 10*PDstandardNth23g23 +
+ 3*PDstandardNth33g23) + 3*gu33*PDstandardNth33g33);
+
+ R33 = -(G133*(G111 + G122 + G133)) - G233*(G211 + G222 + G233) -
+ G333*(G311 + G322 + G333) + khalf*
+ (3*gu11*(PDstandardNth13g11 - 3*PDstandardNth33g11) +
+ gu21*(-PDstandardNth12g12 + 3*PDstandardNth13g12 + PDstandardNth22g12 -
+ 9*PDstandardNth33g12) +
+ gu12*(PDstandardNth11g12 - PDstandardNth12g12 + 3*PDstandardNth23g12 -
+ 9*PDstandardNth33g12) +
+ gu31*(2*PDstandardNth13g13 - 8*PDstandardNth33g13) +
+ gu13*(PDstandardNth11g13 - PDstandardNth13g13 - 6*PDstandardNth33g13) +
+ 3*gu22*(PDstandardNth23g22 - 3*PDstandardNth33g22) +
+ gu32*(2*PDstandardNth23g23 - 8*PDstandardNth33g23) +
+ gu23*(PDstandardNth22g23 - PDstandardNth23g23 - 6*PDstandardNth33g23) -
+ 6*gu33*PDstandardNth33g33) + SQR(G113) + SQR(G123) + SQR(G133) +
+ SQR(G213) + SQR(G223) + SQR(G233) + SQR(G313) + SQR(G323) + SQR(G333);
+
+ trR = gu11*R11 + (gu12 + gu21)*R12 + (gu13 + gu31)*R13 + gu22*R22 +
+ (gu23 + gu32)*R23 + gu33*R33;
+
+ Km11 = gu11*K11L + gu12*K12L + gu13*K13L;
+
+ Km21 = gu21*K11L + gu22*K12L + gu23*K13L;
Km31 = gu31*K11L + gu32*K12L + gu33*K13L;
- Km12 = gu11*K12L + gu21*K22L + gu31*K23L;
+ Km12 = gu11*K12L + gu12*K22L + gu13*K23L;
- Km22 = gu21*K12L + gu22*K22L + gu32*K23L;
+ Km22 = gu21*K12L + gu22*K22L + gu23*K23L;
Km32 = gu31*K12L + gu32*K22L + gu33*K23L;
- Km13 = gu11*K13L + gu21*K23L + gu31*K33L;
+ Km13 = gu11*K13L + gu12*K23L + gu13*K33L;
- Km23 = gu21*K13L + gu22*K23L + gu32*K33L;
+ Km23 = gu21*K13L + gu22*K23L + gu23*K33L;
Km33 = gu31*K13L + gu32*K23L + gu33*K33L;
trK = Km11 + Km22 + Km33;
- HL = -2*(Km12*Km21 + Km13*Km31 + Km23*Km32) + trR - SQR(Km11) - SQR(Km22) - SQR(Km33) + SQR(trK);
-
- M1L = gu21*(-(G112*K11L) + G111*K12L - G212*K12L - G312*K13L + G211*K22L + G311*K23L - PDstandardNth1K12 +
- PDstandardNth2K11) + gu22*(-(G122*K11L) + G112*K12L - G222*K12L - G322*K13L + G212*K22L + G312*K23L -
- PDstandardNth1K22 + PDstandardNth2K12) + gu31*
- (-(G113*K11L) - G213*K12L + G111*K13L - G313*K13L + G211*K23L + G311*K33L - PDstandardNth1K13 + PDstandardNth3K11)\
- + gu32*(G113*K12L + G112*K13L + G213*K22L + (G212 + G313)*K23L + G312*K33L -
- 2*(G123*K11L + G223*K12L + G323*K13L + PDstandardNth1K23) + PDstandardNth2K13 + PDstandardNth3K12) +
- gu33*(-(G133*K11L) - G233*K12L + G113*K13L - G333*K13L + G213*K23L + G313*K33L - PDstandardNth1K33 +
- PDstandardNth3K13);
-
- M2L = gu11*(G112*K11L + (-G111 + G212)*K12L + G312*K13L - G211*K22L - G311*K23L + PDstandardNth1K12 -
- PDstandardNth2K11) + gu21*(G122*K11L + (-G112 + G222)*K12L + G322*K13L - G212*K22L - G312*K23L +
- PDstandardNth1K22 - PDstandardNth2K12) + gu31*
- (G123*K11L + (-2*G113 + G223)*K12L + (G112 + G323)*K13L + G212*K23L + G312*K33L + PDstandardNth1K23 -
- 2*(G213*K22L + G313*K23L + PDstandardNth2K13) + PDstandardNth3K12) +
- gu32*(-(G123*K12L) + G122*K13L - G223*K22L + G222*K23L - G323*K23L + G322*K33L - PDstandardNth2K23 +
- PDstandardNth3K22) + gu33*(-(G133*K12L) + G123*K13L - G233*K22L + G223*K23L - G333*K23L + G323*K33L -
- PDstandardNth2K33 + PDstandardNth3K23);
-
- M3L = gu11*(G113*K11L + G213*K12L + (-G111 + G313)*K13L - G211*K23L - G311*K33L + PDstandardNth1K13 -
- PDstandardNth3K11) + gu21*(G123*K11L + (G113 + G223)*K12L + (-2*G112 + G323)*K13L + G213*K22L +
- (-2*G212 + G313)*K23L + PDstandardNth1K23 + PDstandardNth2K13 - 2*(G312*K33L + PDstandardNth3K12)) +
- gu31*(G133*K11L + G233*K12L + (-G113 + G333)*K13L - G213*K23L - G313*K33L + PDstandardNth1K33 -
- PDstandardNth3K13) + gu22*(G123*K12L - G122*K13L + G223*K22L - G222*K23L + G323*K23L - G322*K33L +
- PDstandardNth2K23 - PDstandardNth3K22) + gu32*
- (G133*K12L - G123*K13L + G233*K22L - G223*K23L + G333*K23L - G323*K33L + PDstandardNth2K33 - PDstandardNth3K23);
+ HL = -2*(Km12*Km21 + Km13*Km31 + Km23*Km32) + trR - SQR(Km11) - SQR(Km22) -
+ SQR(Km33) + SQR(trK);
+
+ M1L = -2*(gu11*PDstandardNth1K11 + gu12*PDstandardNth1K12 +
+ gu13*PDstandardNth1K13) +
+ gu21*(-(G112*K11L) + G111*K12L - G212*K12L - G312*K13L + G211*K22L +
+ G311*K23L - 3*PDstandardNth1K12 + PDstandardNth2K12) +
+ gu22*(-(G122*K11L) + G112*K12L - G222*K12L - G322*K13L + G212*K22L +
+ G312*K23L - 3*PDstandardNth1K22 + PDstandardNth2K22) +
+ gu23*(-(G123*K11L) + G113*K12L - G223*K12L - G323*K13L + G213*K22L +
+ G313*K23L - 3*PDstandardNth1K23 + PDstandardNth2K23) +
+ gu31*(-(G113*K11L) - G213*K12L + G111*K13L - G313*K13L + G211*K23L +
+ G311*K33L - 3*PDstandardNth1K13 + PDstandardNth3K13) +
+ gu32*(-(G123*K11L) - G223*K12L + G112*K13L - G323*K13L + G212*K23L +
+ G312*K33L - 3*PDstandardNth1K23 + PDstandardNth3K23) +
+ gu33*(-(G133*K11L) - G233*K12L + G113*K13L - G333*K13L + G213*K23L +
+ G313*K33L - 3*PDstandardNth1K33 + PDstandardNth3K33);
+
+ M2L = gu11*(G112*K11L + (-G111 + G212)*K12L + G312*K13L - G211*K22L -
+ G311*K23L + PDstandardNth1K11 - 3*PDstandardNth2K11) +
+ gu12*(G122*K11L + (-G112 + G222)*K12L + G322*K13L - G212*K22L - G312*K23L +
+ PDstandardNth1K12 - 3*PDstandardNth2K12) +
+ gu13*(G123*K11L + (-G113 + G223)*K12L + G323*K13L - G213*K22L - G313*K23L +
+ PDstandardNth1K13 - 3*PDstandardNth2K13) -
+ 2*(gu21*PDstandardNth2K12 + gu22*PDstandardNth2K22 +
+ gu23*PDstandardNth2K23) +
+ gu31*(-(G113*K12L) + G112*K13L - G213*K22L + G212*K23L - G313*K23L +
+ G312*K33L - 3*PDstandardNth2K13 + PDstandardNth3K13) +
+ gu32*(-(G123*K12L) + G122*K13L - G223*K22L + G222*K23L - G323*K23L +
+ G322*K33L - 3*PDstandardNth2K23 + PDstandardNth3K23) +
+ gu33*(-(G133*K12L) + G123*K13L - G233*K22L + G223*K23L - G333*K23L +
+ G323*K33L - 3*PDstandardNth2K33 + PDstandardNth3K33);
+
+ M3L = gu11*(G113*K11L + G213*K12L + (-G111 + G313)*K13L - G211*K23L -
+ G311*K33L + PDstandardNth1K11 - 3*PDstandardNth3K11) +
+ gu12*(G123*K11L + G223*K12L + (-G112 + G323)*K13L - G212*K23L - G312*K33L +
+ PDstandardNth1K12 - 3*PDstandardNth3K12) +
+ gu21*(G113*K12L - G112*K13L + G213*K22L - G212*K23L + G313*K23L -
+ G312*K33L + PDstandardNth2K12 - 3*PDstandardNth3K12) +
+ gu13*(G133*K11L + G233*K12L + (-G113 + G333)*K13L - G213*K23L - G313*K33L +
+ PDstandardNth1K13 - 3*PDstandardNth3K13) +
+ gu22*(G123*K12L - G122*K13L + G223*K22L - G222*K23L + G323*K23L -
+ G322*K33L + PDstandardNth2K22 - 3*PDstandardNth3K22) +
+ gu23*(G133*K12L - G123*K13L + G233*K22L - G223*K23L + G333*K23L -
+ G323*K33L + PDstandardNth2K23 - 3*PDstandardNth3K23) -
+ 2*(gu31*PDstandardNth3K13 + gu32*PDstandardNth3K23 + gu33*PDstandardNth3K33);
/* Copy local copies back to grid functions */
diff --git a/ML_ADM/src/ML_ADM_constraints_boundary.c b/ML_ADM/src/ML_ADM_constraints_boundary.c
index 33e504d..4108bff 100644
--- a/ML_ADM/src/ML_ADM_constraints_boundary.c
+++ b/ML_ADM/src/ML_ADM_constraints_boundary.c
@@ -5,7 +5,10 @@
#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"
@@ -84,7 +87,7 @@ void ML_ADM_constraints_boundary_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face,
pm1o12dz2 = -pow(dz,-2)/12.;
/* Loop over the grid points */
- _Pragma ("omp parallel")
+ #pragma omp parallel
LC_LOOP3 (ML_ADM_constraints_boundary,
i,j,k, min[0],min[1],min[2], max[0],max[1],max[2],
cctk_lsh[0],cctk_lsh[1],cctk_lsh[2])
diff --git a/ML_ADM/src/ML_ADM_convertFromADMBase.c b/ML_ADM/src/ML_ADM_convertFromADMBase.c
index a78d3de..8ece38e 100644
--- a/ML_ADM/src/ML_ADM_convertFromADMBase.c
+++ b/ML_ADM/src/ML_ADM_convertFromADMBase.c
@@ -5,7 +5,10 @@
#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"
@@ -84,7 +87,7 @@ void ML_ADM_convertFromADMBase_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CC
pm1o12dz2 = -pow(dz,-2)/12.;
/* Loop over the grid points */
- _Pragma ("omp parallel")
+ #pragma omp parallel
LC_LOOP3 (ML_ADM_convertFromADMBase,
i,j,k, min[0],min[1],min[2], max[0],max[1],max[2],
cctk_lsh[0],cctk_lsh[1],cctk_lsh[2])
diff --git a/ML_ADM/src/ML_ADM_convertToADMBase.c b/ML_ADM/src/ML_ADM_convertToADMBase.c
index 50150f1..a7047e3 100644
--- a/ML_ADM/src/ML_ADM_convertToADMBase.c
+++ b/ML_ADM/src/ML_ADM_convertToADMBase.c
@@ -5,7 +5,10 @@
#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"
@@ -84,7 +87,7 @@ void ML_ADM_convertToADMBase_Body(cGH *cctkGH, CCTK_INT dir, CCTK_INT face, CCTK
pm1o12dz2 = -pow(dz,-2)/12.;
/* Loop over the grid points */
- _Pragma ("omp parallel")
+ #pragma omp parallel
LC_LOOP3 (ML_ADM_convertToADMBase,
i,j,k, min[0],min[1],min[2], max[0],max[1],max[2],
cctk_lsh[0],cctk_lsh[1],cctk_lsh[2])