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-rw-r--r--ML_BSSN/src/ML_BSSN_constraints.cc2008
1 files changed, 2008 insertions, 0 deletions
diff --git a/ML_BSSN/src/ML_BSSN_constraints.cc b/ML_BSSN/src/ML_BSSN_constraints.cc
new file mode 100644
index 0000000..bcb7564
--- /dev/null
+++ b/ML_BSSN/src/ML_BSSN_constraints.cc
@@ -0,0 +1,2008 @@
+/* File produced by Kranc */
+
+#define KRANC_C
+
+#include <assert.h>
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include "cctk.h"
+#include "cctk_Arguments.h"
+#include "cctk_Parameters.h"
+#include "GenericFD.h"
+#include "Differencing.h"
+#include "cctk_Loop.h"
+#include "loopcontrol.h"
+#include "vectors.h"
+
+/* Define macros used in calculations */
+#define INITVALUE (42)
+#define ScalarINV(x) ((CCTK_REAL)1.0 / (x))
+#define ScalarSQR(x) ((x) * (x))
+#define ScalarCUB(x) ((x) * ScalarSQR(x))
+#define ScalarQAD(x) (ScalarSQR(ScalarSQR(x)))
+#define INV(x) (kdiv(ToReal(1.0),x))
+#define SQR(x) (kmul(x,x))
+#define CUB(x) (kmul(x,SQR(x)))
+#define QAD(x) (SQR(SQR(x)))
+
+extern "C" void ML_BSSN_constraints_SelectBCs(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+ if (cctk_iteration % ML_BSSN_constraints_calc_every != ML_BSSN_constraints_calc_offset)
+ return;
+ CCTK_INT ierr CCTK_ATTRIBUTE_UNUSED = 0;
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN::ML_cons_detg","flat");
+ if (ierr < 0)
+ CCTK_WARN(1, "Failed to register flat BC for ML_BSSN::ML_cons_detg.");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN::ML_cons_Gamma","flat");
+ if (ierr < 0)
+ CCTK_WARN(1, "Failed to register flat BC for ML_BSSN::ML_cons_Gamma.");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN::ML_cons_traceA","flat");
+ if (ierr < 0)
+ CCTK_WARN(1, "Failed to register flat BC for ML_BSSN::ML_cons_traceA.");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN::ML_Ham","flat");
+ if (ierr < 0)
+ CCTK_WARN(1, "Failed to register flat BC for ML_BSSN::ML_Ham.");
+ ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ML_BSSN::ML_mom","flat");
+ if (ierr < 0)
+ CCTK_WARN(1, "Failed to register flat BC for ML_BSSN::ML_mom.");
+ return;
+}
+
+static void ML_BSSN_constraints_Body(const cGH* restrict const cctkGH, const int dir, const int face, const CCTK_REAL normal[3], const CCTK_REAL tangentA[3], const CCTK_REAL tangentB[3], const int imin[3], const int imax[3], const int n_subblock_gfs, CCTK_REAL* restrict const subblock_gfs[])
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+
+ /* Include user-supplied include files */
+
+ /* Initialise finite differencing variables */
+ const ptrdiff_t di CCTK_ATTRIBUTE_UNUSED = 1;
+ const ptrdiff_t dj CCTK_ATTRIBUTE_UNUSED = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0);
+ const ptrdiff_t dk CCTK_ATTRIBUTE_UNUSED = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0);
+ const ptrdiff_t cdi CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL) * di;
+ const ptrdiff_t cdj CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL) * dj;
+ const ptrdiff_t cdk CCTK_ATTRIBUTE_UNUSED = sizeof(CCTK_REAL) * dk;
+ const CCTK_REAL_VEC dx CCTK_ATTRIBUTE_UNUSED = ToReal(CCTK_DELTA_SPACE(0));
+ const CCTK_REAL_VEC dy CCTK_ATTRIBUTE_UNUSED = ToReal(CCTK_DELTA_SPACE(1));
+ const CCTK_REAL_VEC dz CCTK_ATTRIBUTE_UNUSED = ToReal(CCTK_DELTA_SPACE(2));
+ const CCTK_REAL_VEC dt CCTK_ATTRIBUTE_UNUSED = ToReal(CCTK_DELTA_TIME);
+ const CCTK_REAL_VEC t CCTK_ATTRIBUTE_UNUSED = ToReal(cctk_time);
+ const CCTK_REAL_VEC dxi CCTK_ATTRIBUTE_UNUSED = INV(dx);
+ const CCTK_REAL_VEC dyi CCTK_ATTRIBUTE_UNUSED = INV(dy);
+ const CCTK_REAL_VEC dzi CCTK_ATTRIBUTE_UNUSED = INV(dz);
+ const CCTK_REAL_VEC khalf CCTK_ATTRIBUTE_UNUSED = ToReal(0.5);
+ const CCTK_REAL_VEC kthird CCTK_ATTRIBUTE_UNUSED =
+ ToReal(0.333333333333333333333333333333);
+ const CCTK_REAL_VEC ktwothird CCTK_ATTRIBUTE_UNUSED =
+ ToReal(0.666666666666666666666666666667);
+ const CCTK_REAL_VEC kfourthird CCTK_ATTRIBUTE_UNUSED =
+ ToReal(1.33333333333333333333333333333);
+ const CCTK_REAL_VEC hdxi CCTK_ATTRIBUTE_UNUSED =
+ kmul(dxi,ToReal(0.5));
+ const CCTK_REAL_VEC hdyi CCTK_ATTRIBUTE_UNUSED =
+ kmul(dyi,ToReal(0.5));
+ const CCTK_REAL_VEC hdzi CCTK_ATTRIBUTE_UNUSED =
+ kmul(dzi,ToReal(0.5));
+
+ /* Initialize predefined quantities */
+ const CCTK_REAL_VEC p1o1024dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.0009765625),dx);
+ const CCTK_REAL_VEC p1o1024dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.0009765625),dy);
+ const CCTK_REAL_VEC p1o1024dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.0009765625),dz);
+ const CCTK_REAL_VEC p1o120dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00833333333333333333333333333333),dx);
+ const CCTK_REAL_VEC p1o120dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00833333333333333333333333333333),dy);
+ const CCTK_REAL_VEC p1o120dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00833333333333333333333333333333),dz);
+ const CCTK_REAL_VEC p1o12dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.0833333333333333333333333333333),dx);
+ const CCTK_REAL_VEC p1o12dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.0833333333333333333333333333333),dy);
+ const CCTK_REAL_VEC p1o12dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.0833333333333333333333333333333),dz);
+ const CCTK_REAL_VEC p1o144dxdy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00694444444444444444444444444444),kmul(dy,dx));
+ const CCTK_REAL_VEC p1o144dxdz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00694444444444444444444444444444),kmul(dz,dx));
+ const CCTK_REAL_VEC p1o144dydz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00694444444444444444444444444444),kmul(dz,dy));
+ const CCTK_REAL_VEC p1o1680dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.000595238095238095238095238095238),dx);
+ const CCTK_REAL_VEC p1o1680dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.000595238095238095238095238095238),dy);
+ const CCTK_REAL_VEC p1o1680dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.000595238095238095238095238095238),dz);
+ const CCTK_REAL_VEC p1o180dx2 CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00555555555555555555555555555556),kmul(dx,dx));
+ const CCTK_REAL_VEC p1o180dy2 CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00555555555555555555555555555556),kmul(dy,dy));
+ const CCTK_REAL_VEC p1o180dz2 CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00555555555555555555555555555556),kmul(dz,dz));
+ const CCTK_REAL_VEC p1o24dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.0416666666666666666666666666667),dx);
+ const CCTK_REAL_VEC p1o24dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.0416666666666666666666666666667),dy);
+ const CCTK_REAL_VEC p1o24dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.0416666666666666666666666666667),dz);
+ const CCTK_REAL_VEC p1o2dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.5),dx);
+ const CCTK_REAL_VEC p1o2dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.5),dy);
+ const CCTK_REAL_VEC p1o2dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.5),dz);
+ const CCTK_REAL_VEC p1o3600dxdy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.000277777777777777777777777777778),kmul(dy,dx));
+ const CCTK_REAL_VEC p1o3600dxdz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.000277777777777777777777777777778),kmul(dz,dx));
+ const CCTK_REAL_VEC p1o3600dydz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.000277777777777777777777777777778),kmul(dz,dy));
+ const CCTK_REAL_VEC p1o4dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.25),dx);
+ const CCTK_REAL_VEC p1o4dxdy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.25),kmul(dy,dx));
+ const CCTK_REAL_VEC p1o4dxdz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.25),kmul(dz,dx));
+ const CCTK_REAL_VEC p1o4dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.25),dy);
+ const CCTK_REAL_VEC p1o4dydz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.25),kmul(dz,dy));
+ const CCTK_REAL_VEC p1o4dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.25),dz);
+ const CCTK_REAL_VEC p1o5040dx2 CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.000198412698412698412698412698413),kmul(dx,dx));
+ const CCTK_REAL_VEC p1o5040dy2 CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.000198412698412698412698412698413),kmul(dy,dy));
+ const CCTK_REAL_VEC p1o5040dz2 CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.000198412698412698412698412698413),kmul(dz,dz));
+ const CCTK_REAL_VEC p1o560dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00178571428571428571428571428571),dx);
+ const CCTK_REAL_VEC p1o560dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00178571428571428571428571428571),dy);
+ const CCTK_REAL_VEC p1o560dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00178571428571428571428571428571),dz);
+ const CCTK_REAL_VEC p1o60dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.0166666666666666666666666666667),dx);
+ const CCTK_REAL_VEC p1o60dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.0166666666666666666666666666667),dy);
+ const CCTK_REAL_VEC p1o60dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.0166666666666666666666666666667),dz);
+ const CCTK_REAL_VEC p1o64dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.015625),dx);
+ const CCTK_REAL_VEC p1o64dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.015625),dy);
+ const CCTK_REAL_VEC p1o64dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.015625),dz);
+ const CCTK_REAL_VEC p1o705600dxdy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(1.41723356009070294784580498866e-6),kmul(dy,dx));
+ const CCTK_REAL_VEC p1o705600dxdz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(1.41723356009070294784580498866e-6),kmul(dz,dx));
+ const CCTK_REAL_VEC p1o705600dydz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(1.41723356009070294784580498866e-6),kmul(dz,dy));
+ const CCTK_REAL_VEC p1o840dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00119047619047619047619047619048),dx);
+ const CCTK_REAL_VEC p1o840dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00119047619047619047619047619048),dy);
+ const CCTK_REAL_VEC p1o840dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(0.00119047619047619047619047619048),dz);
+ const CCTK_REAL_VEC p1odx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(1),dx);
+ const CCTK_REAL_VEC p1odx2 CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(1),kmul(dx,dx));
+ const CCTK_REAL_VEC p1ody CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(1),dy);
+ const CCTK_REAL_VEC p1ody2 CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(1),kmul(dy,dy));
+ const CCTK_REAL_VEC p1odz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(1),dz);
+ const CCTK_REAL_VEC p1odz2 CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(1),kmul(dz,dz));
+ const CCTK_REAL_VEC pm1o120dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.00833333333333333333333333333333),dx);
+ const CCTK_REAL_VEC pm1o120dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.00833333333333333333333333333333),dy);
+ const CCTK_REAL_VEC pm1o120dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.00833333333333333333333333333333),dz);
+ const CCTK_REAL_VEC pm1o12dx2 CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.0833333333333333333333333333333),kmul(dx,dx));
+ const CCTK_REAL_VEC pm1o12dy2 CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.0833333333333333333333333333333),kmul(dy,dy));
+ const CCTK_REAL_VEC pm1o12dz2 CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.0833333333333333333333333333333),kmul(dz,dz));
+ const CCTK_REAL_VEC pm1o16dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.0625),dx);
+ const CCTK_REAL_VEC pm1o16dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.0625),dy);
+ const CCTK_REAL_VEC pm1o16dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.0625),dz);
+ const CCTK_REAL_VEC pm1o256dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.00390625),dx);
+ const CCTK_REAL_VEC pm1o256dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.00390625),dy);
+ const CCTK_REAL_VEC pm1o256dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.00390625),dz);
+ const CCTK_REAL_VEC pm1o2dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.5),dx);
+ const CCTK_REAL_VEC pm1o2dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.5),dy);
+ const CCTK_REAL_VEC pm1o2dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.5),dz);
+ const CCTK_REAL_VEC pm1o4dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.25),dx);
+ const CCTK_REAL_VEC pm1o4dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.25),dy);
+ const CCTK_REAL_VEC pm1o4dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.25),dz);
+ const CCTK_REAL_VEC pm1o60dx CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.0166666666666666666666666666667),dx);
+ const CCTK_REAL_VEC pm1o60dy CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.0166666666666666666666666666667),dy);
+ const CCTK_REAL_VEC pm1o60dz CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(-0.0166666666666666666666666666667),dz);
+
+ /* Jacobian variable pointers */
+ const bool use_jacobian1 = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
+ && strlen(jacobian_group) > 0;
+ const bool use_jacobian = assume_use_jacobian>=0 ? assume_use_jacobian : use_jacobian1;
+ const bool usejacobian CCTK_ATTRIBUTE_UNUSED = use_jacobian;
+ if (use_jacobian && (strlen(jacobian_derivative_group) == 0))
+ {
+ CCTK_WARN(1, "GenericFD::jacobian_group and GenericFD::jacobian_derivative_group must both be set to valid group names");
+ }
+
+ const CCTK_REAL* restrict jacobian_ptrs[9];
+ if (use_jacobian) GenericFD_GroupDataPointers(cctkGH, jacobian_group,
+ 9, jacobian_ptrs);
+
+ const CCTK_REAL* restrict const J11 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_ptrs[0] : 0;
+ const CCTK_REAL* restrict const J12 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_ptrs[1] : 0;
+ const CCTK_REAL* restrict const J13 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_ptrs[2] : 0;
+ const CCTK_REAL* restrict const J21 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_ptrs[3] : 0;
+ const CCTK_REAL* restrict const J22 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_ptrs[4] : 0;
+ const CCTK_REAL* restrict const J23 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_ptrs[5] : 0;
+ const CCTK_REAL* restrict const J31 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_ptrs[6] : 0;
+ const CCTK_REAL* restrict const J32 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_ptrs[7] : 0;
+ const CCTK_REAL* restrict const J33 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_ptrs[8] : 0;
+
+ const CCTK_REAL* restrict jacobian_derivative_ptrs[18] CCTK_ATTRIBUTE_UNUSED;
+ if (use_jacobian) GenericFD_GroupDataPointers(cctkGH, jacobian_derivative_group,
+ 18, jacobian_derivative_ptrs);
+
+ const CCTK_REAL* restrict const dJ111 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[0] : 0;
+ const CCTK_REAL* restrict const dJ112 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[1] : 0;
+ const CCTK_REAL* restrict const dJ113 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[2] : 0;
+ const CCTK_REAL* restrict const dJ122 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[3] : 0;
+ const CCTK_REAL* restrict const dJ123 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[4] : 0;
+ const CCTK_REAL* restrict const dJ133 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[5] : 0;
+ const CCTK_REAL* restrict const dJ211 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[6] : 0;
+ const CCTK_REAL* restrict const dJ212 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[7] : 0;
+ const CCTK_REAL* restrict const dJ213 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[8] : 0;
+ const CCTK_REAL* restrict const dJ222 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[9] : 0;
+ const CCTK_REAL* restrict const dJ223 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[10] : 0;
+ const CCTK_REAL* restrict const dJ233 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[11] : 0;
+ const CCTK_REAL* restrict const dJ311 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[12] : 0;
+ const CCTK_REAL* restrict const dJ312 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[13] : 0;
+ const CCTK_REAL* restrict const dJ313 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[14] : 0;
+ const CCTK_REAL* restrict const dJ322 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[15] : 0;
+ const CCTK_REAL* restrict const dJ323 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[16] : 0;
+ const CCTK_REAL* restrict const dJ333 CCTK_ATTRIBUTE_UNUSED = use_jacobian ? jacobian_derivative_ptrs[17] : 0;
+
+ /* Assign local copies of arrays functions */
+
+
+
+ /* Calculate temporaries and arrays functions */
+
+ /* Copy local copies back to grid functions */
+
+ /* Loop over the grid points */
+ const int imin0=imin[0];
+ const int imin1=imin[1];
+ const int imin2=imin[2];
+ const int imax0=imax[0];
+ const int imax1=imax[1];
+ const int imax2=imax[2];
+ #pragma omp parallel // reduction(+: vec_iter_counter, vec_op_counter, vec_mem_counter)
+ CCTK_LOOP3STR(ML_BSSN_constraints,
+ i,j,k, imin0,imin1,imin2, imax0,imax1,imax2,
+ cctk_ash[0],cctk_ash[1],cctk_ash[2],
+ vecimin,vecimax, CCTK_REAL_VEC_SIZE)
+ {
+ const ptrdiff_t index CCTK_ATTRIBUTE_UNUSED = di*i + dj*j + dk*k;
+ // vec_iter_counter+=CCTK_REAL_VEC_SIZE;
+ if (fabs(y[index]) > 1e-8)
+ continue;
+
+ /* Assign local copies of grid functions */
+
+ CCTK_REAL_VEC alphaL CCTK_ATTRIBUTE_UNUSED = vec_load(alpha[index]);
+ CCTK_REAL_VEC At11L CCTK_ATTRIBUTE_UNUSED = vec_load(At11[index]);
+ CCTK_REAL_VEC At12L CCTK_ATTRIBUTE_UNUSED = vec_load(At12[index]);
+ CCTK_REAL_VEC At13L CCTK_ATTRIBUTE_UNUSED = vec_load(At13[index]);
+ CCTK_REAL_VEC At22L CCTK_ATTRIBUTE_UNUSED = vec_load(At22[index]);
+ CCTK_REAL_VEC At23L CCTK_ATTRIBUTE_UNUSED = vec_load(At23[index]);
+ CCTK_REAL_VEC At33L CCTK_ATTRIBUTE_UNUSED = vec_load(At33[index]);
+ CCTK_REAL_VEC beta1L CCTK_ATTRIBUTE_UNUSED = vec_load(beta1[index]);
+ CCTK_REAL_VEC beta2L CCTK_ATTRIBUTE_UNUSED = vec_load(beta2[index]);
+ CCTK_REAL_VEC beta3L CCTK_ATTRIBUTE_UNUSED = vec_load(beta3[index]);
+ CCTK_REAL_VEC gt11L CCTK_ATTRIBUTE_UNUSED = vec_load(gt11[index]);
+ CCTK_REAL_VEC gt12L CCTK_ATTRIBUTE_UNUSED = vec_load(gt12[index]);
+ CCTK_REAL_VEC gt13L CCTK_ATTRIBUTE_UNUSED = vec_load(gt13[index]);
+ CCTK_REAL_VEC gt22L CCTK_ATTRIBUTE_UNUSED = vec_load(gt22[index]);
+ CCTK_REAL_VEC gt23L CCTK_ATTRIBUTE_UNUSED = vec_load(gt23[index]);
+ CCTK_REAL_VEC gt33L CCTK_ATTRIBUTE_UNUSED = vec_load(gt33[index]);
+ CCTK_REAL_VEC phiL CCTK_ATTRIBUTE_UNUSED = vec_load(phi[index]);
+ CCTK_REAL_VEC trKL CCTK_ATTRIBUTE_UNUSED = vec_load(trK[index]);
+ CCTK_REAL_VEC Xt1L CCTK_ATTRIBUTE_UNUSED = vec_load(Xt1[index]);
+ CCTK_REAL_VEC Xt2L CCTK_ATTRIBUTE_UNUSED = vec_load(Xt2[index]);
+ CCTK_REAL_VEC Xt3L CCTK_ATTRIBUTE_UNUSED = vec_load(Xt3[index]);
+
+ CCTK_REAL_VEC eTttL, eTtxL, eTtyL, eTtzL, eTxxL, eTxyL, eTxzL, eTyyL, eTyzL, eTzzL CCTK_ATTRIBUTE_UNUSED ;
+
+ if (assume_stress_energy_state>=0 ? assume_stress_energy_state : *stress_energy_state)
+ {
+ eTttL = vec_load(eTtt[index]);
+ eTtxL = vec_load(eTtx[index]);
+ eTtyL = vec_load(eTty[index]);
+ eTtzL = vec_load(eTtz[index]);
+ eTxxL = vec_load(eTxx[index]);
+ eTxyL = vec_load(eTxy[index]);
+ eTxzL = vec_load(eTxz[index]);
+ eTyyL = vec_load(eTyy[index]);
+ eTyzL = vec_load(eTyz[index]);
+ eTzzL = vec_load(eTzz[index]);
+ }
+ else
+ {
+ eTttL = ToReal(0.0);
+ eTtxL = ToReal(0.0);
+ eTtyL = ToReal(0.0);
+ eTtzL = ToReal(0.0);
+ eTxxL = ToReal(0.0);
+ eTxyL = ToReal(0.0);
+ eTxzL = ToReal(0.0);
+ eTyyL = ToReal(0.0);
+ eTyzL = ToReal(0.0);
+ eTzzL = ToReal(0.0);
+ }
+
+ CCTK_REAL_VEC dJ111L, dJ112L, dJ113L, dJ122L, dJ123L, dJ133L, dJ211L, dJ212L, dJ213L, dJ222L, dJ223L, dJ233L, dJ311L, dJ312L, dJ313L, dJ322L, dJ323L, dJ333L, J11L, J12L, J13L, J21L, J22L, J23L, J31L, J32L, J33L CCTK_ATTRIBUTE_UNUSED ;
+
+ if (use_jacobian)
+ {
+ dJ111L = vec_load(dJ111[index]);
+ dJ112L = vec_load(dJ112[index]);
+ dJ113L = vec_load(dJ113[index]);
+ dJ122L = vec_load(dJ122[index]);
+ dJ123L = vec_load(dJ123[index]);
+ dJ133L = vec_load(dJ133[index]);
+ dJ211L = vec_load(dJ211[index]);
+ dJ212L = vec_load(dJ212[index]);
+ dJ213L = vec_load(dJ213[index]);
+ dJ222L = vec_load(dJ222[index]);
+ dJ223L = vec_load(dJ223[index]);
+ dJ233L = vec_load(dJ233[index]);
+ dJ311L = vec_load(dJ311[index]);
+ dJ312L = vec_load(dJ312[index]);
+ dJ313L = vec_load(dJ313[index]);
+ dJ322L = vec_load(dJ322[index]);
+ dJ323L = vec_load(dJ323[index]);
+ dJ333L = vec_load(dJ333[index]);
+ J11L = vec_load(J11[index]);
+ J12L = vec_load(J12[index]);
+ J13L = vec_load(J13[index]);
+ J21L = vec_load(J21[index]);
+ J22L = vec_load(J22[index]);
+ J23L = vec_load(J23[index]);
+ J31L = vec_load(J31[index]);
+ J32L = vec_load(J32[index]);
+ J33L = vec_load(J33[index]);
+ }
+
+ /* Include user supplied include files */
+
+ /* Precompute derivatives */
+ CCTK_REAL_VEC PDstandardNth1At11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2At11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3At11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1At12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2At12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3At12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1At13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2At13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3At13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1At22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2At22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3At22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1At23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2At23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3At23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1At33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2At33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3At33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth11gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth22gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth33gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth12gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth13gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth23gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth11gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth22gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth33gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth12gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth13gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth23gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth11gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth22gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth33gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth12gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth13gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth23gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth11gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth22gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth33gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth12gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth13gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth23gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth11gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth22gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth33gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth12gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth13gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth23gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth11gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth22gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth33gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth12gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth13gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth23gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth11phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth22phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth33phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth12phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth13phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth23phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1trK CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2trK CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3trK CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1Xt1 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2Xt1 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3Xt1 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1Xt2 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2Xt2 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3Xt2 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth1Xt3 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth2Xt3 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC PDstandardNth3Xt3 CCTK_ATTRIBUTE_UNUSED;
+
+ switch (fdOrder)
+ {
+ case 2:
+ {
+ PDstandardNth1At11 = PDstandardNthfdOrder21(&At11[index]);
+ PDstandardNth2At11 = PDstandardNthfdOrder22(&At11[index]);
+ PDstandardNth3At11 = PDstandardNthfdOrder23(&At11[index]);
+ PDstandardNth1At12 = PDstandardNthfdOrder21(&At12[index]);
+ PDstandardNth2At12 = PDstandardNthfdOrder22(&At12[index]);
+ PDstandardNth3At12 = PDstandardNthfdOrder23(&At12[index]);
+ PDstandardNth1At13 = PDstandardNthfdOrder21(&At13[index]);
+ PDstandardNth2At13 = PDstandardNthfdOrder22(&At13[index]);
+ PDstandardNth3At13 = PDstandardNthfdOrder23(&At13[index]);
+ PDstandardNth1At22 = PDstandardNthfdOrder21(&At22[index]);
+ PDstandardNth2At22 = PDstandardNthfdOrder22(&At22[index]);
+ PDstandardNth3At22 = PDstandardNthfdOrder23(&At22[index]);
+ PDstandardNth1At23 = PDstandardNthfdOrder21(&At23[index]);
+ PDstandardNth2At23 = PDstandardNthfdOrder22(&At23[index]);
+ PDstandardNth3At23 = PDstandardNthfdOrder23(&At23[index]);
+ PDstandardNth1At33 = PDstandardNthfdOrder21(&At33[index]);
+ PDstandardNth2At33 = PDstandardNthfdOrder22(&At33[index]);
+ PDstandardNth3At33 = PDstandardNthfdOrder23(&At33[index]);
+ PDstandardNth1gt11 = PDstandardNthfdOrder21(&gt11[index]);
+ PDstandardNth2gt11 = PDstandardNthfdOrder22(&gt11[index]);
+ PDstandardNth3gt11 = PDstandardNthfdOrder23(&gt11[index]);
+ PDstandardNth11gt11 = PDstandardNthfdOrder211(&gt11[index]);
+ PDstandardNth22gt11 = PDstandardNthfdOrder222(&gt11[index]);
+ PDstandardNth33gt11 = PDstandardNthfdOrder233(&gt11[index]);
+ PDstandardNth12gt11 = PDstandardNthfdOrder212(&gt11[index]);
+ PDstandardNth13gt11 = PDstandardNthfdOrder213(&gt11[index]);
+ PDstandardNth23gt11 = PDstandardNthfdOrder223(&gt11[index]);
+ PDstandardNth1gt12 = PDstandardNthfdOrder21(&gt12[index]);
+ PDstandardNth2gt12 = PDstandardNthfdOrder22(&gt12[index]);
+ PDstandardNth3gt12 = PDstandardNthfdOrder23(&gt12[index]);
+ PDstandardNth11gt12 = PDstandardNthfdOrder211(&gt12[index]);
+ PDstandardNth22gt12 = PDstandardNthfdOrder222(&gt12[index]);
+ PDstandardNth33gt12 = PDstandardNthfdOrder233(&gt12[index]);
+ PDstandardNth12gt12 = PDstandardNthfdOrder212(&gt12[index]);
+ PDstandardNth13gt12 = PDstandardNthfdOrder213(&gt12[index]);
+ PDstandardNth23gt12 = PDstandardNthfdOrder223(&gt12[index]);
+ PDstandardNth1gt13 = PDstandardNthfdOrder21(&gt13[index]);
+ PDstandardNth2gt13 = PDstandardNthfdOrder22(&gt13[index]);
+ PDstandardNth3gt13 = PDstandardNthfdOrder23(&gt13[index]);
+ PDstandardNth11gt13 = PDstandardNthfdOrder211(&gt13[index]);
+ PDstandardNth22gt13 = PDstandardNthfdOrder222(&gt13[index]);
+ PDstandardNth33gt13 = PDstandardNthfdOrder233(&gt13[index]);
+ PDstandardNth12gt13 = PDstandardNthfdOrder212(&gt13[index]);
+ PDstandardNth13gt13 = PDstandardNthfdOrder213(&gt13[index]);
+ PDstandardNth23gt13 = PDstandardNthfdOrder223(&gt13[index]);
+ PDstandardNth1gt22 = PDstandardNthfdOrder21(&gt22[index]);
+ PDstandardNth2gt22 = PDstandardNthfdOrder22(&gt22[index]);
+ PDstandardNth3gt22 = PDstandardNthfdOrder23(&gt22[index]);
+ PDstandardNth11gt22 = PDstandardNthfdOrder211(&gt22[index]);
+ PDstandardNth22gt22 = PDstandardNthfdOrder222(&gt22[index]);
+ PDstandardNth33gt22 = PDstandardNthfdOrder233(&gt22[index]);
+ PDstandardNth12gt22 = PDstandardNthfdOrder212(&gt22[index]);
+ PDstandardNth13gt22 = PDstandardNthfdOrder213(&gt22[index]);
+ PDstandardNth23gt22 = PDstandardNthfdOrder223(&gt22[index]);
+ PDstandardNth1gt23 = PDstandardNthfdOrder21(&gt23[index]);
+ PDstandardNth2gt23 = PDstandardNthfdOrder22(&gt23[index]);
+ PDstandardNth3gt23 = PDstandardNthfdOrder23(&gt23[index]);
+ PDstandardNth11gt23 = PDstandardNthfdOrder211(&gt23[index]);
+ PDstandardNth22gt23 = PDstandardNthfdOrder222(&gt23[index]);
+ PDstandardNth33gt23 = PDstandardNthfdOrder233(&gt23[index]);
+ PDstandardNth12gt23 = PDstandardNthfdOrder212(&gt23[index]);
+ PDstandardNth13gt23 = PDstandardNthfdOrder213(&gt23[index]);
+ PDstandardNth23gt23 = PDstandardNthfdOrder223(&gt23[index]);
+ PDstandardNth1gt33 = PDstandardNthfdOrder21(&gt33[index]);
+ PDstandardNth2gt33 = PDstandardNthfdOrder22(&gt33[index]);
+ PDstandardNth3gt33 = PDstandardNthfdOrder23(&gt33[index]);
+ PDstandardNth11gt33 = PDstandardNthfdOrder211(&gt33[index]);
+ PDstandardNth22gt33 = PDstandardNthfdOrder222(&gt33[index]);
+ PDstandardNth33gt33 = PDstandardNthfdOrder233(&gt33[index]);
+ PDstandardNth12gt33 = PDstandardNthfdOrder212(&gt33[index]);
+ PDstandardNth13gt33 = PDstandardNthfdOrder213(&gt33[index]);
+ PDstandardNth23gt33 = PDstandardNthfdOrder223(&gt33[index]);
+ PDstandardNth1phi = PDstandardNthfdOrder21(&phi[index]);
+ PDstandardNth2phi = PDstandardNthfdOrder22(&phi[index]);
+ PDstandardNth3phi = PDstandardNthfdOrder23(&phi[index]);
+ PDstandardNth11phi = PDstandardNthfdOrder211(&phi[index]);
+ PDstandardNth22phi = PDstandardNthfdOrder222(&phi[index]);
+ PDstandardNth33phi = PDstandardNthfdOrder233(&phi[index]);
+ PDstandardNth12phi = PDstandardNthfdOrder212(&phi[index]);
+ PDstandardNth13phi = PDstandardNthfdOrder213(&phi[index]);
+ PDstandardNth23phi = PDstandardNthfdOrder223(&phi[index]);
+ PDstandardNth1trK = PDstandardNthfdOrder21(&trK[index]);
+ PDstandardNth2trK = PDstandardNthfdOrder22(&trK[index]);
+ PDstandardNth3trK = PDstandardNthfdOrder23(&trK[index]);
+ PDstandardNth1Xt1 = PDstandardNthfdOrder21(&Xt1[index]);
+ PDstandardNth2Xt1 = PDstandardNthfdOrder22(&Xt1[index]);
+ PDstandardNth3Xt1 = PDstandardNthfdOrder23(&Xt1[index]);
+ PDstandardNth1Xt2 = PDstandardNthfdOrder21(&Xt2[index]);
+ PDstandardNth2Xt2 = PDstandardNthfdOrder22(&Xt2[index]);
+ PDstandardNth3Xt2 = PDstandardNthfdOrder23(&Xt2[index]);
+ PDstandardNth1Xt3 = PDstandardNthfdOrder21(&Xt3[index]);
+ PDstandardNth2Xt3 = PDstandardNthfdOrder22(&Xt3[index]);
+ PDstandardNth3Xt3 = PDstandardNthfdOrder23(&Xt3[index]);
+ break;
+ }
+
+ case 4:
+ {
+ PDstandardNth1At11 = PDstandardNthfdOrder41(&At11[index]);
+ PDstandardNth2At11 = PDstandardNthfdOrder42(&At11[index]);
+ PDstandardNth3At11 = PDstandardNthfdOrder43(&At11[index]);
+ PDstandardNth1At12 = PDstandardNthfdOrder41(&At12[index]);
+ PDstandardNth2At12 = PDstandardNthfdOrder42(&At12[index]);
+ PDstandardNth3At12 = PDstandardNthfdOrder43(&At12[index]);
+ PDstandardNth1At13 = PDstandardNthfdOrder41(&At13[index]);
+ PDstandardNth2At13 = PDstandardNthfdOrder42(&At13[index]);
+ PDstandardNth3At13 = PDstandardNthfdOrder43(&At13[index]);
+ PDstandardNth1At22 = PDstandardNthfdOrder41(&At22[index]);
+ PDstandardNth2At22 = PDstandardNthfdOrder42(&At22[index]);
+ PDstandardNth3At22 = PDstandardNthfdOrder43(&At22[index]);
+ PDstandardNth1At23 = PDstandardNthfdOrder41(&At23[index]);
+ PDstandardNth2At23 = PDstandardNthfdOrder42(&At23[index]);
+ PDstandardNth3At23 = PDstandardNthfdOrder43(&At23[index]);
+ PDstandardNth1At33 = PDstandardNthfdOrder41(&At33[index]);
+ PDstandardNth2At33 = PDstandardNthfdOrder42(&At33[index]);
+ PDstandardNth3At33 = PDstandardNthfdOrder43(&At33[index]);
+ PDstandardNth1gt11 = PDstandardNthfdOrder41(&gt11[index]);
+ PDstandardNth2gt11 = PDstandardNthfdOrder42(&gt11[index]);
+ PDstandardNth3gt11 = PDstandardNthfdOrder43(&gt11[index]);
+ PDstandardNth11gt11 = PDstandardNthfdOrder411(&gt11[index]);
+ PDstandardNth22gt11 = PDstandardNthfdOrder422(&gt11[index]);
+ PDstandardNth33gt11 = PDstandardNthfdOrder433(&gt11[index]);
+ PDstandardNth12gt11 = PDstandardNthfdOrder412(&gt11[index]);
+ PDstandardNth13gt11 = PDstandardNthfdOrder413(&gt11[index]);
+ PDstandardNth23gt11 = PDstandardNthfdOrder423(&gt11[index]);
+ PDstandardNth1gt12 = PDstandardNthfdOrder41(&gt12[index]);
+ PDstandardNth2gt12 = PDstandardNthfdOrder42(&gt12[index]);
+ PDstandardNth3gt12 = PDstandardNthfdOrder43(&gt12[index]);
+ PDstandardNth11gt12 = PDstandardNthfdOrder411(&gt12[index]);
+ PDstandardNth22gt12 = PDstandardNthfdOrder422(&gt12[index]);
+ PDstandardNth33gt12 = PDstandardNthfdOrder433(&gt12[index]);
+ PDstandardNth12gt12 = PDstandardNthfdOrder412(&gt12[index]);
+ PDstandardNth13gt12 = PDstandardNthfdOrder413(&gt12[index]);
+ PDstandardNth23gt12 = PDstandardNthfdOrder423(&gt12[index]);
+ PDstandardNth1gt13 = PDstandardNthfdOrder41(&gt13[index]);
+ PDstandardNth2gt13 = PDstandardNthfdOrder42(&gt13[index]);
+ PDstandardNth3gt13 = PDstandardNthfdOrder43(&gt13[index]);
+ PDstandardNth11gt13 = PDstandardNthfdOrder411(&gt13[index]);
+ PDstandardNth22gt13 = PDstandardNthfdOrder422(&gt13[index]);
+ PDstandardNth33gt13 = PDstandardNthfdOrder433(&gt13[index]);
+ PDstandardNth12gt13 = PDstandardNthfdOrder412(&gt13[index]);
+ PDstandardNth13gt13 = PDstandardNthfdOrder413(&gt13[index]);
+ PDstandardNth23gt13 = PDstandardNthfdOrder423(&gt13[index]);
+ PDstandardNth1gt22 = PDstandardNthfdOrder41(&gt22[index]);
+ PDstandardNth2gt22 = PDstandardNthfdOrder42(&gt22[index]);
+ PDstandardNth3gt22 = PDstandardNthfdOrder43(&gt22[index]);
+ PDstandardNth11gt22 = PDstandardNthfdOrder411(&gt22[index]);
+ PDstandardNth22gt22 = PDstandardNthfdOrder422(&gt22[index]);
+ PDstandardNth33gt22 = PDstandardNthfdOrder433(&gt22[index]);
+ PDstandardNth12gt22 = PDstandardNthfdOrder412(&gt22[index]);
+ PDstandardNth13gt22 = PDstandardNthfdOrder413(&gt22[index]);
+ PDstandardNth23gt22 = PDstandardNthfdOrder423(&gt22[index]);
+ PDstandardNth1gt23 = PDstandardNthfdOrder41(&gt23[index]);
+ PDstandardNth2gt23 = PDstandardNthfdOrder42(&gt23[index]);
+ PDstandardNth3gt23 = PDstandardNthfdOrder43(&gt23[index]);
+ PDstandardNth11gt23 = PDstandardNthfdOrder411(&gt23[index]);
+ PDstandardNth22gt23 = PDstandardNthfdOrder422(&gt23[index]);
+ PDstandardNth33gt23 = PDstandardNthfdOrder433(&gt23[index]);
+ PDstandardNth12gt23 = PDstandardNthfdOrder412(&gt23[index]);
+ PDstandardNth13gt23 = PDstandardNthfdOrder413(&gt23[index]);
+ PDstandardNth23gt23 = PDstandardNthfdOrder423(&gt23[index]);
+ PDstandardNth1gt33 = PDstandardNthfdOrder41(&gt33[index]);
+ PDstandardNth2gt33 = PDstandardNthfdOrder42(&gt33[index]);
+ PDstandardNth3gt33 = PDstandardNthfdOrder43(&gt33[index]);
+ PDstandardNth11gt33 = PDstandardNthfdOrder411(&gt33[index]);
+ PDstandardNth22gt33 = PDstandardNthfdOrder422(&gt33[index]);
+ PDstandardNth33gt33 = PDstandardNthfdOrder433(&gt33[index]);
+ PDstandardNth12gt33 = PDstandardNthfdOrder412(&gt33[index]);
+ PDstandardNth13gt33 = PDstandardNthfdOrder413(&gt33[index]);
+ PDstandardNth23gt33 = PDstandardNthfdOrder423(&gt33[index]);
+ PDstandardNth1phi = PDstandardNthfdOrder41(&phi[index]);
+ PDstandardNth2phi = PDstandardNthfdOrder42(&phi[index]);
+ PDstandardNth3phi = PDstandardNthfdOrder43(&phi[index]);
+ PDstandardNth11phi = PDstandardNthfdOrder411(&phi[index]);
+ PDstandardNth22phi = PDstandardNthfdOrder422(&phi[index]);
+ PDstandardNth33phi = PDstandardNthfdOrder433(&phi[index]);
+ PDstandardNth12phi = PDstandardNthfdOrder412(&phi[index]);
+ PDstandardNth13phi = PDstandardNthfdOrder413(&phi[index]);
+ PDstandardNth23phi = PDstandardNthfdOrder423(&phi[index]);
+ PDstandardNth1trK = PDstandardNthfdOrder41(&trK[index]);
+ PDstandardNth2trK = PDstandardNthfdOrder42(&trK[index]);
+ PDstandardNth3trK = PDstandardNthfdOrder43(&trK[index]);
+ PDstandardNth1Xt1 = PDstandardNthfdOrder41(&Xt1[index]);
+ PDstandardNth2Xt1 = PDstandardNthfdOrder42(&Xt1[index]);
+ PDstandardNth3Xt1 = PDstandardNthfdOrder43(&Xt1[index]);
+ PDstandardNth1Xt2 = PDstandardNthfdOrder41(&Xt2[index]);
+ PDstandardNth2Xt2 = PDstandardNthfdOrder42(&Xt2[index]);
+ PDstandardNth3Xt2 = PDstandardNthfdOrder43(&Xt2[index]);
+ PDstandardNth1Xt3 = PDstandardNthfdOrder41(&Xt3[index]);
+ PDstandardNth2Xt3 = PDstandardNthfdOrder42(&Xt3[index]);
+ PDstandardNth3Xt3 = PDstandardNthfdOrder43(&Xt3[index]);
+ break;
+ }
+
+ case 6:
+ {
+ PDstandardNth1At11 = PDstandardNthfdOrder61(&At11[index]);
+ PDstandardNth2At11 = PDstandardNthfdOrder62(&At11[index]);
+ PDstandardNth3At11 = PDstandardNthfdOrder63(&At11[index]);
+ PDstandardNth1At12 = PDstandardNthfdOrder61(&At12[index]);
+ PDstandardNth2At12 = PDstandardNthfdOrder62(&At12[index]);
+ PDstandardNth3At12 = PDstandardNthfdOrder63(&At12[index]);
+ PDstandardNth1At13 = PDstandardNthfdOrder61(&At13[index]);
+ PDstandardNth2At13 = PDstandardNthfdOrder62(&At13[index]);
+ PDstandardNth3At13 = PDstandardNthfdOrder63(&At13[index]);
+ PDstandardNth1At22 = PDstandardNthfdOrder61(&At22[index]);
+ PDstandardNth2At22 = PDstandardNthfdOrder62(&At22[index]);
+ PDstandardNth3At22 = PDstandardNthfdOrder63(&At22[index]);
+ PDstandardNth1At23 = PDstandardNthfdOrder61(&At23[index]);
+ PDstandardNth2At23 = PDstandardNthfdOrder62(&At23[index]);
+ PDstandardNth3At23 = PDstandardNthfdOrder63(&At23[index]);
+ PDstandardNth1At33 = PDstandardNthfdOrder61(&At33[index]);
+ PDstandardNth2At33 = PDstandardNthfdOrder62(&At33[index]);
+ PDstandardNth3At33 = PDstandardNthfdOrder63(&At33[index]);
+ PDstandardNth1gt11 = PDstandardNthfdOrder61(&gt11[index]);
+ PDstandardNth2gt11 = PDstandardNthfdOrder62(&gt11[index]);
+ PDstandardNth3gt11 = PDstandardNthfdOrder63(&gt11[index]);
+ PDstandardNth11gt11 = PDstandardNthfdOrder611(&gt11[index]);
+ PDstandardNth22gt11 = PDstandardNthfdOrder622(&gt11[index]);
+ PDstandardNth33gt11 = PDstandardNthfdOrder633(&gt11[index]);
+ PDstandardNth12gt11 = PDstandardNthfdOrder612(&gt11[index]);
+ PDstandardNth13gt11 = PDstandardNthfdOrder613(&gt11[index]);
+ PDstandardNth23gt11 = PDstandardNthfdOrder623(&gt11[index]);
+ PDstandardNth1gt12 = PDstandardNthfdOrder61(&gt12[index]);
+ PDstandardNth2gt12 = PDstandardNthfdOrder62(&gt12[index]);
+ PDstandardNth3gt12 = PDstandardNthfdOrder63(&gt12[index]);
+ PDstandardNth11gt12 = PDstandardNthfdOrder611(&gt12[index]);
+ PDstandardNth22gt12 = PDstandardNthfdOrder622(&gt12[index]);
+ PDstandardNth33gt12 = PDstandardNthfdOrder633(&gt12[index]);
+ PDstandardNth12gt12 = PDstandardNthfdOrder612(&gt12[index]);
+ PDstandardNth13gt12 = PDstandardNthfdOrder613(&gt12[index]);
+ PDstandardNth23gt12 = PDstandardNthfdOrder623(&gt12[index]);
+ PDstandardNth1gt13 = PDstandardNthfdOrder61(&gt13[index]);
+ PDstandardNth2gt13 = PDstandardNthfdOrder62(&gt13[index]);
+ PDstandardNth3gt13 = PDstandardNthfdOrder63(&gt13[index]);
+ PDstandardNth11gt13 = PDstandardNthfdOrder611(&gt13[index]);
+ PDstandardNth22gt13 = PDstandardNthfdOrder622(&gt13[index]);
+ PDstandardNth33gt13 = PDstandardNthfdOrder633(&gt13[index]);
+ PDstandardNth12gt13 = PDstandardNthfdOrder612(&gt13[index]);
+ PDstandardNth13gt13 = PDstandardNthfdOrder613(&gt13[index]);
+ PDstandardNth23gt13 = PDstandardNthfdOrder623(&gt13[index]);
+ PDstandardNth1gt22 = PDstandardNthfdOrder61(&gt22[index]);
+ PDstandardNth2gt22 = PDstandardNthfdOrder62(&gt22[index]);
+ PDstandardNth3gt22 = PDstandardNthfdOrder63(&gt22[index]);
+ PDstandardNth11gt22 = PDstandardNthfdOrder611(&gt22[index]);
+ PDstandardNth22gt22 = PDstandardNthfdOrder622(&gt22[index]);
+ PDstandardNth33gt22 = PDstandardNthfdOrder633(&gt22[index]);
+ PDstandardNth12gt22 = PDstandardNthfdOrder612(&gt22[index]);
+ PDstandardNth13gt22 = PDstandardNthfdOrder613(&gt22[index]);
+ PDstandardNth23gt22 = PDstandardNthfdOrder623(&gt22[index]);
+ PDstandardNth1gt23 = PDstandardNthfdOrder61(&gt23[index]);
+ PDstandardNth2gt23 = PDstandardNthfdOrder62(&gt23[index]);
+ PDstandardNth3gt23 = PDstandardNthfdOrder63(&gt23[index]);
+ PDstandardNth11gt23 = PDstandardNthfdOrder611(&gt23[index]);
+ PDstandardNth22gt23 = PDstandardNthfdOrder622(&gt23[index]);
+ PDstandardNth33gt23 = PDstandardNthfdOrder633(&gt23[index]);
+ PDstandardNth12gt23 = PDstandardNthfdOrder612(&gt23[index]);
+ PDstandardNth13gt23 = PDstandardNthfdOrder613(&gt23[index]);
+ PDstandardNth23gt23 = PDstandardNthfdOrder623(&gt23[index]);
+ PDstandardNth1gt33 = PDstandardNthfdOrder61(&gt33[index]);
+ PDstandardNth2gt33 = PDstandardNthfdOrder62(&gt33[index]);
+ PDstandardNth3gt33 = PDstandardNthfdOrder63(&gt33[index]);
+ PDstandardNth11gt33 = PDstandardNthfdOrder611(&gt33[index]);
+ PDstandardNth22gt33 = PDstandardNthfdOrder622(&gt33[index]);
+ PDstandardNth33gt33 = PDstandardNthfdOrder633(&gt33[index]);
+ PDstandardNth12gt33 = PDstandardNthfdOrder612(&gt33[index]);
+ PDstandardNth13gt33 = PDstandardNthfdOrder613(&gt33[index]);
+ PDstandardNth23gt33 = PDstandardNthfdOrder623(&gt33[index]);
+ PDstandardNth1phi = PDstandardNthfdOrder61(&phi[index]);
+ PDstandardNth2phi = PDstandardNthfdOrder62(&phi[index]);
+ PDstandardNth3phi = PDstandardNthfdOrder63(&phi[index]);
+ PDstandardNth11phi = PDstandardNthfdOrder611(&phi[index]);
+ PDstandardNth22phi = PDstandardNthfdOrder622(&phi[index]);
+ PDstandardNth33phi = PDstandardNthfdOrder633(&phi[index]);
+ PDstandardNth12phi = PDstandardNthfdOrder612(&phi[index]);
+ PDstandardNth13phi = PDstandardNthfdOrder613(&phi[index]);
+ PDstandardNth23phi = PDstandardNthfdOrder623(&phi[index]);
+ PDstandardNth1trK = PDstandardNthfdOrder61(&trK[index]);
+ PDstandardNth2trK = PDstandardNthfdOrder62(&trK[index]);
+ PDstandardNth3trK = PDstandardNthfdOrder63(&trK[index]);
+ PDstandardNth1Xt1 = PDstandardNthfdOrder61(&Xt1[index]);
+ PDstandardNth2Xt1 = PDstandardNthfdOrder62(&Xt1[index]);
+ PDstandardNth3Xt1 = PDstandardNthfdOrder63(&Xt1[index]);
+ PDstandardNth1Xt2 = PDstandardNthfdOrder61(&Xt2[index]);
+ PDstandardNth2Xt2 = PDstandardNthfdOrder62(&Xt2[index]);
+ PDstandardNth3Xt2 = PDstandardNthfdOrder63(&Xt2[index]);
+ PDstandardNth1Xt3 = PDstandardNthfdOrder61(&Xt3[index]);
+ PDstandardNth2Xt3 = PDstandardNthfdOrder62(&Xt3[index]);
+ PDstandardNth3Xt3 = PDstandardNthfdOrder63(&Xt3[index]);
+ break;
+ }
+
+ case 8:
+ {
+ PDstandardNth1At11 = PDstandardNthfdOrder81(&At11[index]);
+ PDstandardNth2At11 = PDstandardNthfdOrder82(&At11[index]);
+ PDstandardNth3At11 = PDstandardNthfdOrder83(&At11[index]);
+ PDstandardNth1At12 = PDstandardNthfdOrder81(&At12[index]);
+ PDstandardNth2At12 = PDstandardNthfdOrder82(&At12[index]);
+ PDstandardNth3At12 = PDstandardNthfdOrder83(&At12[index]);
+ PDstandardNth1At13 = PDstandardNthfdOrder81(&At13[index]);
+ PDstandardNth2At13 = PDstandardNthfdOrder82(&At13[index]);
+ PDstandardNth3At13 = PDstandardNthfdOrder83(&At13[index]);
+ PDstandardNth1At22 = PDstandardNthfdOrder81(&At22[index]);
+ PDstandardNth2At22 = PDstandardNthfdOrder82(&At22[index]);
+ PDstandardNth3At22 = PDstandardNthfdOrder83(&At22[index]);
+ PDstandardNth1At23 = PDstandardNthfdOrder81(&At23[index]);
+ PDstandardNth2At23 = PDstandardNthfdOrder82(&At23[index]);
+ PDstandardNth3At23 = PDstandardNthfdOrder83(&At23[index]);
+ PDstandardNth1At33 = PDstandardNthfdOrder81(&At33[index]);
+ PDstandardNth2At33 = PDstandardNthfdOrder82(&At33[index]);
+ PDstandardNth3At33 = PDstandardNthfdOrder83(&At33[index]);
+ PDstandardNth1gt11 = PDstandardNthfdOrder81(&gt11[index]);
+ PDstandardNth2gt11 = PDstandardNthfdOrder82(&gt11[index]);
+ PDstandardNth3gt11 = PDstandardNthfdOrder83(&gt11[index]);
+ PDstandardNth11gt11 = PDstandardNthfdOrder811(&gt11[index]);
+ PDstandardNth22gt11 = PDstandardNthfdOrder822(&gt11[index]);
+ PDstandardNth33gt11 = PDstandardNthfdOrder833(&gt11[index]);
+ PDstandardNth12gt11 = PDstandardNthfdOrder812(&gt11[index]);
+ PDstandardNth13gt11 = PDstandardNthfdOrder813(&gt11[index]);
+ PDstandardNth23gt11 = PDstandardNthfdOrder823(&gt11[index]);
+ PDstandardNth1gt12 = PDstandardNthfdOrder81(&gt12[index]);
+ PDstandardNth2gt12 = PDstandardNthfdOrder82(&gt12[index]);
+ PDstandardNth3gt12 = PDstandardNthfdOrder83(&gt12[index]);
+ PDstandardNth11gt12 = PDstandardNthfdOrder811(&gt12[index]);
+ PDstandardNth22gt12 = PDstandardNthfdOrder822(&gt12[index]);
+ PDstandardNth33gt12 = PDstandardNthfdOrder833(&gt12[index]);
+ PDstandardNth12gt12 = PDstandardNthfdOrder812(&gt12[index]);
+ PDstandardNth13gt12 = PDstandardNthfdOrder813(&gt12[index]);
+ PDstandardNth23gt12 = PDstandardNthfdOrder823(&gt12[index]);
+ PDstandardNth1gt13 = PDstandardNthfdOrder81(&gt13[index]);
+ PDstandardNth2gt13 = PDstandardNthfdOrder82(&gt13[index]);
+ PDstandardNth3gt13 = PDstandardNthfdOrder83(&gt13[index]);
+ PDstandardNth11gt13 = PDstandardNthfdOrder811(&gt13[index]);
+ PDstandardNth22gt13 = PDstandardNthfdOrder822(&gt13[index]);
+ PDstandardNth33gt13 = PDstandardNthfdOrder833(&gt13[index]);
+ PDstandardNth12gt13 = PDstandardNthfdOrder812(&gt13[index]);
+ PDstandardNth13gt13 = PDstandardNthfdOrder813(&gt13[index]);
+ PDstandardNth23gt13 = PDstandardNthfdOrder823(&gt13[index]);
+ PDstandardNth1gt22 = PDstandardNthfdOrder81(&gt22[index]);
+ PDstandardNth2gt22 = PDstandardNthfdOrder82(&gt22[index]);
+ PDstandardNth3gt22 = PDstandardNthfdOrder83(&gt22[index]);
+ PDstandardNth11gt22 = PDstandardNthfdOrder811(&gt22[index]);
+ PDstandardNth22gt22 = PDstandardNthfdOrder822(&gt22[index]);
+ PDstandardNth33gt22 = PDstandardNthfdOrder833(&gt22[index]);
+ PDstandardNth12gt22 = PDstandardNthfdOrder812(&gt22[index]);
+ PDstandardNth13gt22 = PDstandardNthfdOrder813(&gt22[index]);
+ PDstandardNth23gt22 = PDstandardNthfdOrder823(&gt22[index]);
+ PDstandardNth1gt23 = PDstandardNthfdOrder81(&gt23[index]);
+ PDstandardNth2gt23 = PDstandardNthfdOrder82(&gt23[index]);
+ PDstandardNth3gt23 = PDstandardNthfdOrder83(&gt23[index]);
+ PDstandardNth11gt23 = PDstandardNthfdOrder811(&gt23[index]);
+ PDstandardNth22gt23 = PDstandardNthfdOrder822(&gt23[index]);
+ PDstandardNth33gt23 = PDstandardNthfdOrder833(&gt23[index]);
+ PDstandardNth12gt23 = PDstandardNthfdOrder812(&gt23[index]);
+ PDstandardNth13gt23 = PDstandardNthfdOrder813(&gt23[index]);
+ PDstandardNth23gt23 = PDstandardNthfdOrder823(&gt23[index]);
+ PDstandardNth1gt33 = PDstandardNthfdOrder81(&gt33[index]);
+ PDstandardNth2gt33 = PDstandardNthfdOrder82(&gt33[index]);
+ PDstandardNth3gt33 = PDstandardNthfdOrder83(&gt33[index]);
+ PDstandardNth11gt33 = PDstandardNthfdOrder811(&gt33[index]);
+ PDstandardNth22gt33 = PDstandardNthfdOrder822(&gt33[index]);
+ PDstandardNth33gt33 = PDstandardNthfdOrder833(&gt33[index]);
+ PDstandardNth12gt33 = PDstandardNthfdOrder812(&gt33[index]);
+ PDstandardNth13gt33 = PDstandardNthfdOrder813(&gt33[index]);
+ PDstandardNth23gt33 = PDstandardNthfdOrder823(&gt33[index]);
+ PDstandardNth1phi = PDstandardNthfdOrder81(&phi[index]);
+ PDstandardNth2phi = PDstandardNthfdOrder82(&phi[index]);
+ PDstandardNth3phi = PDstandardNthfdOrder83(&phi[index]);
+ PDstandardNth11phi = PDstandardNthfdOrder811(&phi[index]);
+ PDstandardNth22phi = PDstandardNthfdOrder822(&phi[index]);
+ PDstandardNth33phi = PDstandardNthfdOrder833(&phi[index]);
+ PDstandardNth12phi = PDstandardNthfdOrder812(&phi[index]);
+ PDstandardNth13phi = PDstandardNthfdOrder813(&phi[index]);
+ PDstandardNth23phi = PDstandardNthfdOrder823(&phi[index]);
+ PDstandardNth1trK = PDstandardNthfdOrder81(&trK[index]);
+ PDstandardNth2trK = PDstandardNthfdOrder82(&trK[index]);
+ PDstandardNth3trK = PDstandardNthfdOrder83(&trK[index]);
+ PDstandardNth1Xt1 = PDstandardNthfdOrder81(&Xt1[index]);
+ PDstandardNth2Xt1 = PDstandardNthfdOrder82(&Xt1[index]);
+ PDstandardNth3Xt1 = PDstandardNthfdOrder83(&Xt1[index]);
+ PDstandardNth1Xt2 = PDstandardNthfdOrder81(&Xt2[index]);
+ PDstandardNth2Xt2 = PDstandardNthfdOrder82(&Xt2[index]);
+ PDstandardNth3Xt2 = PDstandardNthfdOrder83(&Xt2[index]);
+ PDstandardNth1Xt3 = PDstandardNthfdOrder81(&Xt3[index]);
+ PDstandardNth2Xt3 = PDstandardNthfdOrder82(&Xt3[index]);
+ PDstandardNth3Xt3 = PDstandardNthfdOrder83(&Xt3[index]);
+ break;
+ }
+ default:
+ CCTK_BUILTIN_UNREACHABLE();
+ }
+
+ double xx = x[index];
+ int origin = fabs(xx) < 1e-8;
+
+ PDstandardNth2gt11 = 0;
+ PDstandardNth22gt11 = origin ? PDstandardNth11gt22 : PDstandardNth1gt11 / xx - 2 * (gt11[index] - gt22[index]) / (xx * xx);
+ PDstandardNth12gt11 = 0;
+ PDstandardNth23gt11 = 0;
+ PDstandardNth2gt12 = origin ? PDstandardNth1gt11 - PDstandardNth1gt22 : (gt11[index] - gt22[index]) / xx;
+ PDstandardNth22gt12 = 0;
+ PDstandardNth12gt12 = origin ? (PDstandardNth11gt11 - PDstandardNth11gt22) / 2 : (PDstandardNth1gt11 - PDstandardNth1gt22) / xx - (gt11[index] - gt22[index]) / (xx * xx);
+ PDstandardNth23gt12 = origin ? PDstandardNth13gt11 - PDstandardNth13gt22 : (PDstandardNth3gt11 - PDstandardNth3gt22) / xx;
+ PDstandardNth2gt13 = 0;
+ PDstandardNth22gt13 = origin ? PDstandardNth11gt13 / 2 : PDstandardNth1gt13 / xx - gt13[index] / (xx * xx);
+ PDstandardNth12gt13 = 0;
+ PDstandardNth23gt13 = 0;
+ PDstandardNth2gt22 = 0;
+ PDstandardNth22gt22 = origin ? PDstandardNth11gt11 : PDstandardNth1gt22 / xx + 2 * (gt11[index] - gt22[index]) / (xx * xx);
+ PDstandardNth12gt22 = 0;
+ PDstandardNth23gt22 = 0;
+ PDstandardNth2gt23 = origin ? PDstandardNth1gt13 : gt13[index] / xx;
+ PDstandardNth22gt23 = 0;
+ PDstandardNth12gt23 = origin ? PDstandardNth11gt13 / 2 : PDstandardNth1gt13 / xx - gt13[index] / (xx * xx);
+ PDstandardNth23gt23 = origin ? PDstandardNth13gt13 : PDstandardNth3gt13 / xx;
+ PDstandardNth2gt33 = 0;
+ PDstandardNth22gt33 = origin ? PDstandardNth11gt33 : PDstandardNth1gt33 / xx;
+ PDstandardNth12gt33 = 0;
+ PDstandardNth23gt33 = 0;
+
+ PDstandardNth2phi = 0;
+ PDstandardNth22phi = origin ? PDstandardNth11phi : PDstandardNth1phi / xx;
+ PDstandardNth12phi = 0;
+ PDstandardNth23phi = 0;
+ PDstandardNth2trK = 0;
+ PDstandardNth2Xt1 = 0;
+ PDstandardNth2Xt2 = origin ? PDstandardNth1Xt1 : Xt1[index] / xx;
+ PDstandardNth2Xt3 = 0;
+
+ PDstandardNth2At11 = 0; //origin ? -2 * PDstandardNth1At12 : -2 * At12[index] / xx;
+ PDstandardNth2At12 = origin ? PDstandardNth1At11 - PDstandardNth1At22 : (At11[index] - At22[index]) / xx;
+ PDstandardNth2At13 = 0; //origin ? -PDstandardNth1At23 : - At23[index] / xx;
+ PDstandardNth2At22 = 0; //origin ? 2 * PDstandardNth1At12 : 2 * At12[index] / xx;
+ PDstandardNth2At23 = origin ? PDstandardNth1At13 : At13[index] / xx;
+ PDstandardNth2At33 = 0;
+
+ /* Calculate temporaries and grid functions */
+ CCTK_REAL_VEC JacPDstandardNth11gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth11gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth11gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth11gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth11gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth11gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth11phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth12gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth12gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth12gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth12gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth12gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth12gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth12phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth13gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth13gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth13gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth13gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth13gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth13gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth13phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1At11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1At12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1At13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1At22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1At23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1At33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1trK CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1Xt1 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1Xt2 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth1Xt3 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth21gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth21gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth21gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth21gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth21gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth21gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth22gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth22gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth22gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth22gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth22gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth22gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth22phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth23gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth23gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth23gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth23gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth23gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth23gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth23phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2At11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2At12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2At13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2At22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2At23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2At33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2trK CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2Xt1 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2Xt2 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth2Xt3 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth31gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth31gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth31gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth31gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth31gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth31gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth32gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth32gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth32gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth32gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth32gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth32gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth33gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth33gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth33gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth33gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth33gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth33gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth33phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3At11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3At12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3At13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3At22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3At23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3At33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3gt11 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3gt12 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3gt13 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3gt22 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3gt23 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3gt33 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3phi CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3trK CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3Xt1 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3Xt2 CCTK_ATTRIBUTE_UNUSED;
+ CCTK_REAL_VEC JacPDstandardNth3Xt3 CCTK_ATTRIBUTE_UNUSED;
+
+ if (use_jacobian)
+ {
+ JacPDstandardNth1At11 =
+ kmadd(J11L,PDstandardNth1At11,kmadd(J21L,PDstandardNth2At11,kmul(J31L,PDstandardNth3At11)));
+
+ JacPDstandardNth1At12 =
+ kmadd(J11L,PDstandardNth1At12,kmadd(J21L,PDstandardNth2At12,kmul(J31L,PDstandardNth3At12)));
+
+ JacPDstandardNth1At13 =
+ kmadd(J11L,PDstandardNth1At13,kmadd(J21L,PDstandardNth2At13,kmul(J31L,PDstandardNth3At13)));
+
+ JacPDstandardNth1At22 =
+ kmadd(J11L,PDstandardNth1At22,kmadd(J21L,PDstandardNth2At22,kmul(J31L,PDstandardNth3At22)));
+
+ JacPDstandardNth1At23 =
+ kmadd(J11L,PDstandardNth1At23,kmadd(J21L,PDstandardNth2At23,kmul(J31L,PDstandardNth3At23)));
+
+ JacPDstandardNth1At33 =
+ kmadd(J11L,PDstandardNth1At33,kmadd(J21L,PDstandardNth2At33,kmul(J31L,PDstandardNth3At33)));
+
+ JacPDstandardNth1gt11 =
+ kmadd(J11L,PDstandardNth1gt11,kmadd(J21L,PDstandardNth2gt11,kmul(J31L,PDstandardNth3gt11)));
+
+ JacPDstandardNth1gt12 =
+ kmadd(J11L,PDstandardNth1gt12,kmadd(J21L,PDstandardNth2gt12,kmul(J31L,PDstandardNth3gt12)));
+
+ JacPDstandardNth1gt13 =
+ kmadd(J11L,PDstandardNth1gt13,kmadd(J21L,PDstandardNth2gt13,kmul(J31L,PDstandardNth3gt13)));
+
+ JacPDstandardNth1gt22 =
+ kmadd(J11L,PDstandardNth1gt22,kmadd(J21L,PDstandardNth2gt22,kmul(J31L,PDstandardNth3gt22)));
+
+ JacPDstandardNth1gt23 =
+ kmadd(J11L,PDstandardNth1gt23,kmadd(J21L,PDstandardNth2gt23,kmul(J31L,PDstandardNth3gt23)));
+
+ JacPDstandardNth1gt33 =
+ kmadd(J11L,PDstandardNth1gt33,kmadd(J21L,PDstandardNth2gt33,kmul(J31L,PDstandardNth3gt33)));
+
+ JacPDstandardNth1phi =
+ kmadd(J11L,PDstandardNth1phi,kmadd(J21L,PDstandardNth2phi,kmul(J31L,PDstandardNth3phi)));
+
+ JacPDstandardNth1trK =
+ kmadd(J11L,PDstandardNth1trK,kmadd(J21L,PDstandardNth2trK,kmul(J31L,PDstandardNth3trK)));
+
+ JacPDstandardNth1Xt1 =
+ kmadd(J11L,PDstandardNth1Xt1,kmadd(J21L,PDstandardNth2Xt1,kmul(J31L,PDstandardNth3Xt1)));
+
+ JacPDstandardNth1Xt2 =
+ kmadd(J11L,PDstandardNth1Xt2,kmadd(J21L,PDstandardNth2Xt2,kmul(J31L,PDstandardNth3Xt2)));
+
+ JacPDstandardNth1Xt3 =
+ kmadd(J11L,PDstandardNth1Xt3,kmadd(J21L,PDstandardNth2Xt3,kmul(J31L,PDstandardNth3Xt3)));
+
+ JacPDstandardNth2At11 =
+ kmadd(J12L,PDstandardNth1At11,kmadd(J22L,PDstandardNth2At11,kmul(J32L,PDstandardNth3At11)));
+
+ JacPDstandardNth2At12 =
+ kmadd(J12L,PDstandardNth1At12,kmadd(J22L,PDstandardNth2At12,kmul(J32L,PDstandardNth3At12)));
+
+ JacPDstandardNth2At13 =
+ kmadd(J12L,PDstandardNth1At13,kmadd(J22L,PDstandardNth2At13,kmul(J32L,PDstandardNth3At13)));
+
+ JacPDstandardNth2At22 =
+ kmadd(J12L,PDstandardNth1At22,kmadd(J22L,PDstandardNth2At22,kmul(J32L,PDstandardNth3At22)));
+
+ JacPDstandardNth2At23 =
+ kmadd(J12L,PDstandardNth1At23,kmadd(J22L,PDstandardNth2At23,kmul(J32L,PDstandardNth3At23)));
+
+ JacPDstandardNth2At33 =
+ kmadd(J12L,PDstandardNth1At33,kmadd(J22L,PDstandardNth2At33,kmul(J32L,PDstandardNth3At33)));
+
+ JacPDstandardNth2gt11 =
+ kmadd(J12L,PDstandardNth1gt11,kmadd(J22L,PDstandardNth2gt11,kmul(J32L,PDstandardNth3gt11)));
+
+ JacPDstandardNth2gt12 =
+ kmadd(J12L,PDstandardNth1gt12,kmadd(J22L,PDstandardNth2gt12,kmul(J32L,PDstandardNth3gt12)));
+
+ JacPDstandardNth2gt13 =
+ kmadd(J12L,PDstandardNth1gt13,kmadd(J22L,PDstandardNth2gt13,kmul(J32L,PDstandardNth3gt13)));
+
+ JacPDstandardNth2gt22 =
+ kmadd(J12L,PDstandardNth1gt22,kmadd(J22L,PDstandardNth2gt22,kmul(J32L,PDstandardNth3gt22)));
+
+ JacPDstandardNth2gt23 =
+ kmadd(J12L,PDstandardNth1gt23,kmadd(J22L,PDstandardNth2gt23,kmul(J32L,PDstandardNth3gt23)));
+
+ JacPDstandardNth2gt33 =
+ kmadd(J12L,PDstandardNth1gt33,kmadd(J22L,PDstandardNth2gt33,kmul(J32L,PDstandardNth3gt33)));
+
+ JacPDstandardNth2phi =
+ kmadd(J12L,PDstandardNth1phi,kmadd(J22L,PDstandardNth2phi,kmul(J32L,PDstandardNth3phi)));
+
+ JacPDstandardNth2trK =
+ kmadd(J12L,PDstandardNth1trK,kmadd(J22L,PDstandardNth2trK,kmul(J32L,PDstandardNth3trK)));
+
+ JacPDstandardNth2Xt1 =
+ kmadd(J12L,PDstandardNth1Xt1,kmadd(J22L,PDstandardNth2Xt1,kmul(J32L,PDstandardNth3Xt1)));
+
+ JacPDstandardNth2Xt2 =
+ kmadd(J12L,PDstandardNth1Xt2,kmadd(J22L,PDstandardNth2Xt2,kmul(J32L,PDstandardNth3Xt2)));
+
+ JacPDstandardNth2Xt3 =
+ kmadd(J12L,PDstandardNth1Xt3,kmadd(J22L,PDstandardNth2Xt3,kmul(J32L,PDstandardNth3Xt3)));
+
+ JacPDstandardNth3At11 =
+ kmadd(J13L,PDstandardNth1At11,kmadd(J23L,PDstandardNth2At11,kmul(J33L,PDstandardNth3At11)));
+
+ JacPDstandardNth3At12 =
+ kmadd(J13L,PDstandardNth1At12,kmadd(J23L,PDstandardNth2At12,kmul(J33L,PDstandardNth3At12)));
+
+ JacPDstandardNth3At13 =
+ kmadd(J13L,PDstandardNth1At13,kmadd(J23L,PDstandardNth2At13,kmul(J33L,PDstandardNth3At13)));
+
+ JacPDstandardNth3At22 =
+ kmadd(J13L,PDstandardNth1At22,kmadd(J23L,PDstandardNth2At22,kmul(J33L,PDstandardNth3At22)));
+
+ JacPDstandardNth3At23 =
+ kmadd(J13L,PDstandardNth1At23,kmadd(J23L,PDstandardNth2At23,kmul(J33L,PDstandardNth3At23)));
+
+ JacPDstandardNth3At33 =
+ kmadd(J13L,PDstandardNth1At33,kmadd(J23L,PDstandardNth2At33,kmul(J33L,PDstandardNth3At33)));
+
+ JacPDstandardNth3gt11 =
+ kmadd(J13L,PDstandardNth1gt11,kmadd(J23L,PDstandardNth2gt11,kmul(J33L,PDstandardNth3gt11)));
+
+ JacPDstandardNth3gt12 =
+ kmadd(J13L,PDstandardNth1gt12,kmadd(J23L,PDstandardNth2gt12,kmul(J33L,PDstandardNth3gt12)));
+
+ JacPDstandardNth3gt13 =
+ kmadd(J13L,PDstandardNth1gt13,kmadd(J23L,PDstandardNth2gt13,kmul(J33L,PDstandardNth3gt13)));
+
+ JacPDstandardNth3gt22 =
+ kmadd(J13L,PDstandardNth1gt22,kmadd(J23L,PDstandardNth2gt22,kmul(J33L,PDstandardNth3gt22)));
+
+ JacPDstandardNth3gt23 =
+ kmadd(J13L,PDstandardNth1gt23,kmadd(J23L,PDstandardNth2gt23,kmul(J33L,PDstandardNth3gt23)));
+
+ JacPDstandardNth3gt33 =
+ kmadd(J13L,PDstandardNth1gt33,kmadd(J23L,PDstandardNth2gt33,kmul(J33L,PDstandardNth3gt33)));
+
+ JacPDstandardNth3phi =
+ kmadd(J13L,PDstandardNth1phi,kmadd(J23L,PDstandardNth2phi,kmul(J33L,PDstandardNth3phi)));
+
+ JacPDstandardNth3trK =
+ kmadd(J13L,PDstandardNth1trK,kmadd(J23L,PDstandardNth2trK,kmul(J33L,PDstandardNth3trK)));
+
+ JacPDstandardNth3Xt1 =
+ kmadd(J13L,PDstandardNth1Xt1,kmadd(J23L,PDstandardNth2Xt1,kmul(J33L,PDstandardNth3Xt1)));
+
+ JacPDstandardNth3Xt2 =
+ kmadd(J13L,PDstandardNth1Xt2,kmadd(J23L,PDstandardNth2Xt2,kmul(J33L,PDstandardNth3Xt2)));
+
+ JacPDstandardNth3Xt3 =
+ kmadd(J13L,PDstandardNth1Xt3,kmadd(J23L,PDstandardNth2Xt3,kmul(J33L,PDstandardNth3Xt3)));
+
+ JacPDstandardNth11gt11 =
+ kmadd(dJ111L,PDstandardNth1gt11,kmadd(dJ211L,PDstandardNth2gt11,kmadd(dJ311L,PDstandardNth3gt11,kmadd(PDstandardNth11gt11,kmul(J11L,J11L),kmadd(PDstandardNth22gt11,kmul(J21L,J21L),kmadd(PDstandardNth33gt11,kmul(J31L,J31L),kmul(kmadd(J11L,kmadd(J21L,PDstandardNth12gt11,kmul(J31L,PDstandardNth13gt11)),kmul(J21L,kmul(J31L,PDstandardNth23gt11))),ToReal(2))))))));
+
+ JacPDstandardNth11gt12 =
+ kmadd(dJ111L,PDstandardNth1gt12,kmadd(dJ211L,PDstandardNth2gt12,kmadd(dJ311L,PDstandardNth3gt12,kmadd(PDstandardNth11gt12,kmul(J11L,J11L),kmadd(PDstandardNth22gt12,kmul(J21L,J21L),kmadd(PDstandardNth33gt12,kmul(J31L,J31L),kmul(kmadd(J11L,kmadd(J21L,PDstandardNth12gt12,kmul(J31L,PDstandardNth13gt12)),kmul(J21L,kmul(J31L,PDstandardNth23gt12))),ToReal(2))))))));
+
+ JacPDstandardNth11gt13 =
+ kmadd(dJ111L,PDstandardNth1gt13,kmadd(dJ211L,PDstandardNth2gt13,kmadd(dJ311L,PDstandardNth3gt13,kmadd(PDstandardNth11gt13,kmul(J11L,J11L),kmadd(PDstandardNth22gt13,kmul(J21L,J21L),kmadd(PDstandardNth33gt13,kmul(J31L,J31L),kmul(kmadd(J11L,kmadd(J21L,PDstandardNth12gt13,kmul(J31L,PDstandardNth13gt13)),kmul(J21L,kmul(J31L,PDstandardNth23gt13))),ToReal(2))))))));
+
+ JacPDstandardNth11gt22 =
+ kmadd(dJ111L,PDstandardNth1gt22,kmadd(dJ211L,PDstandardNth2gt22,kmadd(dJ311L,PDstandardNth3gt22,kmadd(PDstandardNth11gt22,kmul(J11L,J11L),kmadd(PDstandardNth22gt22,kmul(J21L,J21L),kmadd(PDstandardNth33gt22,kmul(J31L,J31L),kmul(kmadd(J11L,kmadd(J21L,PDstandardNth12gt22,kmul(J31L,PDstandardNth13gt22)),kmul(J21L,kmul(J31L,PDstandardNth23gt22))),ToReal(2))))))));
+
+ JacPDstandardNth11gt23 =
+ kmadd(dJ111L,PDstandardNth1gt23,kmadd(dJ211L,PDstandardNth2gt23,kmadd(dJ311L,PDstandardNth3gt23,kmadd(PDstandardNth11gt23,kmul(J11L,J11L),kmadd(PDstandardNth22gt23,kmul(J21L,J21L),kmadd(PDstandardNth33gt23,kmul(J31L,J31L),kmul(kmadd(J11L,kmadd(J21L,PDstandardNth12gt23,kmul(J31L,PDstandardNth13gt23)),kmul(J21L,kmul(J31L,PDstandardNth23gt23))),ToReal(2))))))));
+
+ JacPDstandardNth11gt33 =
+ kmadd(dJ111L,PDstandardNth1gt33,kmadd(dJ211L,PDstandardNth2gt33,kmadd(dJ311L,PDstandardNth3gt33,kmadd(PDstandardNth11gt33,kmul(J11L,J11L),kmadd(PDstandardNth22gt33,kmul(J21L,J21L),kmadd(PDstandardNth33gt33,kmul(J31L,J31L),kmul(kmadd(J11L,kmadd(J21L,PDstandardNth12gt33,kmul(J31L,PDstandardNth13gt33)),kmul(J21L,kmul(J31L,PDstandardNth23gt33))),ToReal(2))))))));
+
+ JacPDstandardNth11phi =
+ kmadd(dJ111L,PDstandardNth1phi,kmadd(dJ211L,PDstandardNth2phi,kmadd(dJ311L,PDstandardNth3phi,kmadd(PDstandardNth11phi,kmul(J11L,J11L),kmadd(PDstandardNth22phi,kmul(J21L,J21L),kmadd(PDstandardNth33phi,kmul(J31L,J31L),kmul(kmadd(J11L,kmadd(J21L,PDstandardNth12phi,kmul(J31L,PDstandardNth13phi)),kmul(J21L,kmul(J31L,PDstandardNth23phi))),ToReal(2))))))));
+
+ JacPDstandardNth22gt11 =
+ kmadd(dJ122L,PDstandardNth1gt11,kmadd(dJ222L,PDstandardNth2gt11,kmadd(dJ322L,PDstandardNth3gt11,kmadd(PDstandardNth11gt11,kmul(J12L,J12L),kmadd(PDstandardNth22gt11,kmul(J22L,J22L),kmadd(PDstandardNth33gt11,kmul(J32L,J32L),kmul(kmadd(J12L,kmadd(J22L,PDstandardNth12gt11,kmul(J32L,PDstandardNth13gt11)),kmul(J22L,kmul(J32L,PDstandardNth23gt11))),ToReal(2))))))));
+
+ JacPDstandardNth22gt12 =
+ kmadd(dJ122L,PDstandardNth1gt12,kmadd(dJ222L,PDstandardNth2gt12,kmadd(dJ322L,PDstandardNth3gt12,kmadd(PDstandardNth11gt12,kmul(J12L,J12L),kmadd(PDstandardNth22gt12,kmul(J22L,J22L),kmadd(PDstandardNth33gt12,kmul(J32L,J32L),kmul(kmadd(J12L,kmadd(J22L,PDstandardNth12gt12,kmul(J32L,PDstandardNth13gt12)),kmul(J22L,kmul(J32L,PDstandardNth23gt12))),ToReal(2))))))));
+
+ JacPDstandardNth22gt13 =
+ kmadd(dJ122L,PDstandardNth1gt13,kmadd(dJ222L,PDstandardNth2gt13,kmadd(dJ322L,PDstandardNth3gt13,kmadd(PDstandardNth11gt13,kmul(J12L,J12L),kmadd(PDstandardNth22gt13,kmul(J22L,J22L),kmadd(PDstandardNth33gt13,kmul(J32L,J32L),kmul(kmadd(J12L,kmadd(J22L,PDstandardNth12gt13,kmul(J32L,PDstandardNth13gt13)),kmul(J22L,kmul(J32L,PDstandardNth23gt13))),ToReal(2))))))));
+
+ JacPDstandardNth22gt22 =
+ kmadd(dJ122L,PDstandardNth1gt22,kmadd(dJ222L,PDstandardNth2gt22,kmadd(dJ322L,PDstandardNth3gt22,kmadd(PDstandardNth11gt22,kmul(J12L,J12L),kmadd(PDstandardNth22gt22,kmul(J22L,J22L),kmadd(PDstandardNth33gt22,kmul(J32L,J32L),kmul(kmadd(J12L,kmadd(J22L,PDstandardNth12gt22,kmul(J32L,PDstandardNth13gt22)),kmul(J22L,kmul(J32L,PDstandardNth23gt22))),ToReal(2))))))));
+
+ JacPDstandardNth22gt23 =
+ kmadd(dJ122L,PDstandardNth1gt23,kmadd(dJ222L,PDstandardNth2gt23,kmadd(dJ322L,PDstandardNth3gt23,kmadd(PDstandardNth11gt23,kmul(J12L,J12L),kmadd(PDstandardNth22gt23,kmul(J22L,J22L),kmadd(PDstandardNth33gt23,kmul(J32L,J32L),kmul(kmadd(J12L,kmadd(J22L,PDstandardNth12gt23,kmul(J32L,PDstandardNth13gt23)),kmul(J22L,kmul(J32L,PDstandardNth23gt23))),ToReal(2))))))));
+
+ JacPDstandardNth22gt33 =
+ kmadd(dJ122L,PDstandardNth1gt33,kmadd(dJ222L,PDstandardNth2gt33,kmadd(dJ322L,PDstandardNth3gt33,kmadd(PDstandardNth11gt33,kmul(J12L,J12L),kmadd(PDstandardNth22gt33,kmul(J22L,J22L),kmadd(PDstandardNth33gt33,kmul(J32L,J32L),kmul(kmadd(J12L,kmadd(J22L,PDstandardNth12gt33,kmul(J32L,PDstandardNth13gt33)),kmul(J22L,kmul(J32L,PDstandardNth23gt33))),ToReal(2))))))));
+
+ JacPDstandardNth22phi =
+ kmadd(dJ122L,PDstandardNth1phi,kmadd(dJ222L,PDstandardNth2phi,kmadd(dJ322L,PDstandardNth3phi,kmadd(PDstandardNth11phi,kmul(J12L,J12L),kmadd(PDstandardNth22phi,kmul(J22L,J22L),kmadd(PDstandardNth33phi,kmul(J32L,J32L),kmul(kmadd(J12L,kmadd(J22L,PDstandardNth12phi,kmul(J32L,PDstandardNth13phi)),kmul(J22L,kmul(J32L,PDstandardNth23phi))),ToReal(2))))))));
+
+ JacPDstandardNth33gt11 =
+ kmadd(dJ133L,PDstandardNth1gt11,kmadd(dJ233L,PDstandardNth2gt11,kmadd(dJ333L,PDstandardNth3gt11,kmadd(PDstandardNth11gt11,kmul(J13L,J13L),kmadd(PDstandardNth22gt11,kmul(J23L,J23L),kmadd(PDstandardNth33gt11,kmul(J33L,J33L),kmul(kmadd(J13L,kmadd(J23L,PDstandardNth12gt11,kmul(J33L,PDstandardNth13gt11)),kmul(J23L,kmul(J33L,PDstandardNth23gt11))),ToReal(2))))))));
+
+ JacPDstandardNth33gt12 =
+ kmadd(dJ133L,PDstandardNth1gt12,kmadd(dJ233L,PDstandardNth2gt12,kmadd(dJ333L,PDstandardNth3gt12,kmadd(PDstandardNth11gt12,kmul(J13L,J13L),kmadd(PDstandardNth22gt12,kmul(J23L,J23L),kmadd(PDstandardNth33gt12,kmul(J33L,J33L),kmul(kmadd(J13L,kmadd(J23L,PDstandardNth12gt12,kmul(J33L,PDstandardNth13gt12)),kmul(J23L,kmul(J33L,PDstandardNth23gt12))),ToReal(2))))))));
+
+ JacPDstandardNth33gt13 =
+ kmadd(dJ133L,PDstandardNth1gt13,kmadd(dJ233L,PDstandardNth2gt13,kmadd(dJ333L,PDstandardNth3gt13,kmadd(PDstandardNth11gt13,kmul(J13L,J13L),kmadd(PDstandardNth22gt13,kmul(J23L,J23L),kmadd(PDstandardNth33gt13,kmul(J33L,J33L),kmul(kmadd(J13L,kmadd(J23L,PDstandardNth12gt13,kmul(J33L,PDstandardNth13gt13)),kmul(J23L,kmul(J33L,PDstandardNth23gt13))),ToReal(2))))))));
+
+ JacPDstandardNth33gt22 =
+ kmadd(dJ133L,PDstandardNth1gt22,kmadd(dJ233L,PDstandardNth2gt22,kmadd(dJ333L,PDstandardNth3gt22,kmadd(PDstandardNth11gt22,kmul(J13L,J13L),kmadd(PDstandardNth22gt22,kmul(J23L,J23L),kmadd(PDstandardNth33gt22,kmul(J33L,J33L),kmul(kmadd(J13L,kmadd(J23L,PDstandardNth12gt22,kmul(J33L,PDstandardNth13gt22)),kmul(J23L,kmul(J33L,PDstandardNth23gt22))),ToReal(2))))))));
+
+ JacPDstandardNth33gt23 =
+ kmadd(dJ133L,PDstandardNth1gt23,kmadd(dJ233L,PDstandardNth2gt23,kmadd(dJ333L,PDstandardNth3gt23,kmadd(PDstandardNth11gt23,kmul(J13L,J13L),kmadd(PDstandardNth22gt23,kmul(J23L,J23L),kmadd(PDstandardNth33gt23,kmul(J33L,J33L),kmul(kmadd(J13L,kmadd(J23L,PDstandardNth12gt23,kmul(J33L,PDstandardNth13gt23)),kmul(J23L,kmul(J33L,PDstandardNth23gt23))),ToReal(2))))))));
+
+ JacPDstandardNth33gt33 =
+ kmadd(dJ133L,PDstandardNth1gt33,kmadd(dJ233L,PDstandardNth2gt33,kmadd(dJ333L,PDstandardNth3gt33,kmadd(PDstandardNth11gt33,kmul(J13L,J13L),kmadd(PDstandardNth22gt33,kmul(J23L,J23L),kmadd(PDstandardNth33gt33,kmul(J33L,J33L),kmul(kmadd(J13L,kmadd(J23L,PDstandardNth12gt33,kmul(J33L,PDstandardNth13gt33)),kmul(J23L,kmul(J33L,PDstandardNth23gt33))),ToReal(2))))))));
+
+ JacPDstandardNth33phi =
+ kmadd(dJ133L,PDstandardNth1phi,kmadd(dJ233L,PDstandardNth2phi,kmadd(dJ333L,PDstandardNth3phi,kmadd(PDstandardNth11phi,kmul(J13L,J13L),kmadd(PDstandardNth22phi,kmul(J23L,J23L),kmadd(PDstandardNth33phi,kmul(J33L,J33L),kmul(kmadd(J13L,kmadd(J23L,PDstandardNth12phi,kmul(J33L,PDstandardNth13phi)),kmul(J23L,kmul(J33L,PDstandardNth23phi))),ToReal(2))))))));
+
+ JacPDstandardNth12gt11 =
+ kmadd(J12L,kmadd(J11L,PDstandardNth11gt11,kmadd(J21L,PDstandardNth12gt11,kmul(J31L,PDstandardNth13gt11))),kmadd(J11L,kmadd(J22L,PDstandardNth12gt11,kmul(J32L,PDstandardNth13gt11)),kmadd(dJ112L,PDstandardNth1gt11,kmadd(J22L,kmadd(J21L,PDstandardNth22gt11,kmul(J31L,PDstandardNth23gt11)),kmadd(dJ212L,PDstandardNth2gt11,kmadd(J32L,kmadd(J21L,PDstandardNth23gt11,kmul(J31L,PDstandardNth33gt11)),kmul(dJ312L,PDstandardNth3gt11)))))));
+
+ JacPDstandardNth12gt12 =
+ kmadd(J12L,kmadd(J11L,PDstandardNth11gt12,kmadd(J21L,PDstandardNth12gt12,kmul(J31L,PDstandardNth13gt12))),kmadd(J11L,kmadd(J22L,PDstandardNth12gt12,kmul(J32L,PDstandardNth13gt12)),kmadd(dJ112L,PDstandardNth1gt12,kmadd(J22L,kmadd(J21L,PDstandardNth22gt12,kmul(J31L,PDstandardNth23gt12)),kmadd(dJ212L,PDstandardNth2gt12,kmadd(J32L,kmadd(J21L,PDstandardNth23gt12,kmul(J31L,PDstandardNth33gt12)),kmul(dJ312L,PDstandardNth3gt12)))))));
+
+ JacPDstandardNth12gt13 =
+ kmadd(J12L,kmadd(J11L,PDstandardNth11gt13,kmadd(J21L,PDstandardNth12gt13,kmul(J31L,PDstandardNth13gt13))),kmadd(J11L,kmadd(J22L,PDstandardNth12gt13,kmul(J32L,PDstandardNth13gt13)),kmadd(dJ112L,PDstandardNth1gt13,kmadd(J22L,kmadd(J21L,PDstandardNth22gt13,kmul(J31L,PDstandardNth23gt13)),kmadd(dJ212L,PDstandardNth2gt13,kmadd(J32L,kmadd(J21L,PDstandardNth23gt13,kmul(J31L,PDstandardNth33gt13)),kmul(dJ312L,PDstandardNth3gt13)))))));
+
+ JacPDstandardNth12gt22 =
+ kmadd(J12L,kmadd(J11L,PDstandardNth11gt22,kmadd(J21L,PDstandardNth12gt22,kmul(J31L,PDstandardNth13gt22))),kmadd(J11L,kmadd(J22L,PDstandardNth12gt22,kmul(J32L,PDstandardNth13gt22)),kmadd(dJ112L,PDstandardNth1gt22,kmadd(J22L,kmadd(J21L,PDstandardNth22gt22,kmul(J31L,PDstandardNth23gt22)),kmadd(dJ212L,PDstandardNth2gt22,kmadd(J32L,kmadd(J21L,PDstandardNth23gt22,kmul(J31L,PDstandardNth33gt22)),kmul(dJ312L,PDstandardNth3gt22)))))));
+
+ JacPDstandardNth12gt23 =
+ kmadd(J12L,kmadd(J11L,PDstandardNth11gt23,kmadd(J21L,PDstandardNth12gt23,kmul(J31L,PDstandardNth13gt23))),kmadd(J11L,kmadd(J22L,PDstandardNth12gt23,kmul(J32L,PDstandardNth13gt23)),kmadd(dJ112L,PDstandardNth1gt23,kmadd(J22L,kmadd(J21L,PDstandardNth22gt23,kmul(J31L,PDstandardNth23gt23)),kmadd(dJ212L,PDstandardNth2gt23,kmadd(J32L,kmadd(J21L,PDstandardNth23gt23,kmul(J31L,PDstandardNth33gt23)),kmul(dJ312L,PDstandardNth3gt23)))))));
+
+ JacPDstandardNth12gt33 =
+ kmadd(J12L,kmadd(J11L,PDstandardNth11gt33,kmadd(J21L,PDstandardNth12gt33,kmul(J31L,PDstandardNth13gt33))),kmadd(J11L,kmadd(J22L,PDstandardNth12gt33,kmul(J32L,PDstandardNth13gt33)),kmadd(dJ112L,PDstandardNth1gt33,kmadd(J22L,kmadd(J21L,PDstandardNth22gt33,kmul(J31L,PDstandardNth23gt33)),kmadd(dJ212L,PDstandardNth2gt33,kmadd(J32L,kmadd(J21L,PDstandardNth23gt33,kmul(J31L,PDstandardNth33gt33)),kmul(dJ312L,PDstandardNth3gt33)))))));
+
+ JacPDstandardNth12phi =
+ kmadd(J12L,kmadd(J11L,PDstandardNth11phi,kmadd(J21L,PDstandardNth12phi,kmul(J31L,PDstandardNth13phi))),kmadd(J11L,kmadd(J22L,PDstandardNth12phi,kmul(J32L,PDstandardNth13phi)),kmadd(dJ112L,PDstandardNth1phi,kmadd(J22L,kmadd(J21L,PDstandardNth22phi,kmul(J31L,PDstandardNth23phi)),kmadd(dJ212L,PDstandardNth2phi,kmadd(J32L,kmadd(J21L,PDstandardNth23phi,kmul(J31L,PDstandardNth33phi)),kmul(dJ312L,PDstandardNth3phi)))))));
+
+ JacPDstandardNth13gt11 =
+ kmadd(J13L,kmadd(J11L,PDstandardNth11gt11,kmadd(J21L,PDstandardNth12gt11,kmul(J31L,PDstandardNth13gt11))),kmadd(J11L,kmadd(J23L,PDstandardNth12gt11,kmul(J33L,PDstandardNth13gt11)),kmadd(dJ113L,PDstandardNth1gt11,kmadd(J23L,kmadd(J21L,PDstandardNth22gt11,kmul(J31L,PDstandardNth23gt11)),kmadd(dJ213L,PDstandardNth2gt11,kmadd(J33L,kmadd(J21L,PDstandardNth23gt11,kmul(J31L,PDstandardNth33gt11)),kmul(dJ313L,PDstandardNth3gt11)))))));
+
+ JacPDstandardNth13gt12 =
+ kmadd(J13L,kmadd(J11L,PDstandardNth11gt12,kmadd(J21L,PDstandardNth12gt12,kmul(J31L,PDstandardNth13gt12))),kmadd(J11L,kmadd(J23L,PDstandardNth12gt12,kmul(J33L,PDstandardNth13gt12)),kmadd(dJ113L,PDstandardNth1gt12,kmadd(J23L,kmadd(J21L,PDstandardNth22gt12,kmul(J31L,PDstandardNth23gt12)),kmadd(dJ213L,PDstandardNth2gt12,kmadd(J33L,kmadd(J21L,PDstandardNth23gt12,kmul(J31L,PDstandardNth33gt12)),kmul(dJ313L,PDstandardNth3gt12)))))));
+
+ JacPDstandardNth13gt13 =
+ kmadd(J13L,kmadd(J11L,PDstandardNth11gt13,kmadd(J21L,PDstandardNth12gt13,kmul(J31L,PDstandardNth13gt13))),kmadd(J11L,kmadd(J23L,PDstandardNth12gt13,kmul(J33L,PDstandardNth13gt13)),kmadd(dJ113L,PDstandardNth1gt13,kmadd(J23L,kmadd(J21L,PDstandardNth22gt13,kmul(J31L,PDstandardNth23gt13)),kmadd(dJ213L,PDstandardNth2gt13,kmadd(J33L,kmadd(J21L,PDstandardNth23gt13,kmul(J31L,PDstandardNth33gt13)),kmul(dJ313L,PDstandardNth3gt13)))))));
+
+ JacPDstandardNth13gt22 =
+ kmadd(J13L,kmadd(J11L,PDstandardNth11gt22,kmadd(J21L,PDstandardNth12gt22,kmul(J31L,PDstandardNth13gt22))),kmadd(J11L,kmadd(J23L,PDstandardNth12gt22,kmul(J33L,PDstandardNth13gt22)),kmadd(dJ113L,PDstandardNth1gt22,kmadd(J23L,kmadd(J21L,PDstandardNth22gt22,kmul(J31L,PDstandardNth23gt22)),kmadd(dJ213L,PDstandardNth2gt22,kmadd(J33L,kmadd(J21L,PDstandardNth23gt22,kmul(J31L,PDstandardNth33gt22)),kmul(dJ313L,PDstandardNth3gt22)))))));
+
+ JacPDstandardNth13gt23 =
+ kmadd(J13L,kmadd(J11L,PDstandardNth11gt23,kmadd(J21L,PDstandardNth12gt23,kmul(J31L,PDstandardNth13gt23))),kmadd(J11L,kmadd(J23L,PDstandardNth12gt23,kmul(J33L,PDstandardNth13gt23)),kmadd(dJ113L,PDstandardNth1gt23,kmadd(J23L,kmadd(J21L,PDstandardNth22gt23,kmul(J31L,PDstandardNth23gt23)),kmadd(dJ213L,PDstandardNth2gt23,kmadd(J33L,kmadd(J21L,PDstandardNth23gt23,kmul(J31L,PDstandardNth33gt23)),kmul(dJ313L,PDstandardNth3gt23)))))));
+
+ JacPDstandardNth13gt33 =
+ kmadd(J13L,kmadd(J11L,PDstandardNth11gt33,kmadd(J21L,PDstandardNth12gt33,kmul(J31L,PDstandardNth13gt33))),kmadd(J11L,kmadd(J23L,PDstandardNth12gt33,kmul(J33L,PDstandardNth13gt33)),kmadd(dJ113L,PDstandardNth1gt33,kmadd(J23L,kmadd(J21L,PDstandardNth22gt33,kmul(J31L,PDstandardNth23gt33)),kmadd(dJ213L,PDstandardNth2gt33,kmadd(J33L,kmadd(J21L,PDstandardNth23gt33,kmul(J31L,PDstandardNth33gt33)),kmul(dJ313L,PDstandardNth3gt33)))))));
+
+ JacPDstandardNth13phi =
+ kmadd(J13L,kmadd(J11L,PDstandardNth11phi,kmadd(J21L,PDstandardNth12phi,kmul(J31L,PDstandardNth13phi))),kmadd(J11L,kmadd(J23L,PDstandardNth12phi,kmul(J33L,PDstandardNth13phi)),kmadd(dJ113L,PDstandardNth1phi,kmadd(J23L,kmadd(J21L,PDstandardNth22phi,kmul(J31L,PDstandardNth23phi)),kmadd(dJ213L,PDstandardNth2phi,kmadd(J33L,kmadd(J21L,PDstandardNth23phi,kmul(J31L,PDstandardNth33phi)),kmul(dJ313L,PDstandardNth3phi)))))));
+
+ JacPDstandardNth21gt11 =
+ kmadd(J12L,kmadd(J11L,PDstandardNth11gt11,kmadd(J21L,PDstandardNth12gt11,kmul(J31L,PDstandardNth13gt11))),kmadd(J11L,kmadd(J22L,PDstandardNth12gt11,kmul(J32L,PDstandardNth13gt11)),kmadd(dJ112L,PDstandardNth1gt11,kmadd(J22L,kmadd(J21L,PDstandardNth22gt11,kmul(J31L,PDstandardNth23gt11)),kmadd(dJ212L,PDstandardNth2gt11,kmadd(J32L,kmadd(J21L,PDstandardNth23gt11,kmul(J31L,PDstandardNth33gt11)),kmul(dJ312L,PDstandardNth3gt11)))))));
+
+ JacPDstandardNth21gt12 =
+ kmadd(J12L,kmadd(J11L,PDstandardNth11gt12,kmadd(J21L,PDstandardNth12gt12,kmul(J31L,PDstandardNth13gt12))),kmadd(J11L,kmadd(J22L,PDstandardNth12gt12,kmul(J32L,PDstandardNth13gt12)),kmadd(dJ112L,PDstandardNth1gt12,kmadd(J22L,kmadd(J21L,PDstandardNth22gt12,kmul(J31L,PDstandardNth23gt12)),kmadd(dJ212L,PDstandardNth2gt12,kmadd(J32L,kmadd(J21L,PDstandardNth23gt12,kmul(J31L,PDstandardNth33gt12)),kmul(dJ312L,PDstandardNth3gt12)))))));
+
+ JacPDstandardNth21gt13 =
+ kmadd(J12L,kmadd(J11L,PDstandardNth11gt13,kmadd(J21L,PDstandardNth12gt13,kmul(J31L,PDstandardNth13gt13))),kmadd(J11L,kmadd(J22L,PDstandardNth12gt13,kmul(J32L,PDstandardNth13gt13)),kmadd(dJ112L,PDstandardNth1gt13,kmadd(J22L,kmadd(J21L,PDstandardNth22gt13,kmul(J31L,PDstandardNth23gt13)),kmadd(dJ212L,PDstandardNth2gt13,kmadd(J32L,kmadd(J21L,PDstandardNth23gt13,kmul(J31L,PDstandardNth33gt13)),kmul(dJ312L,PDstandardNth3gt13)))))));
+
+ JacPDstandardNth21gt22 =
+ kmadd(J12L,kmadd(J11L,PDstandardNth11gt22,kmadd(J21L,PDstandardNth12gt22,kmul(J31L,PDstandardNth13gt22))),kmadd(J11L,kmadd(J22L,PDstandardNth12gt22,kmul(J32L,PDstandardNth13gt22)),kmadd(dJ112L,PDstandardNth1gt22,kmadd(J22L,kmadd(J21L,PDstandardNth22gt22,kmul(J31L,PDstandardNth23gt22)),kmadd(dJ212L,PDstandardNth2gt22,kmadd(J32L,kmadd(J21L,PDstandardNth23gt22,kmul(J31L,PDstandardNth33gt22)),kmul(dJ312L,PDstandardNth3gt22)))))));
+
+ JacPDstandardNth21gt23 =
+ kmadd(J12L,kmadd(J11L,PDstandardNth11gt23,kmadd(J21L,PDstandardNth12gt23,kmul(J31L,PDstandardNth13gt23))),kmadd(J11L,kmadd(J22L,PDstandardNth12gt23,kmul(J32L,PDstandardNth13gt23)),kmadd(dJ112L,PDstandardNth1gt23,kmadd(J22L,kmadd(J21L,PDstandardNth22gt23,kmul(J31L,PDstandardNth23gt23)),kmadd(dJ212L,PDstandardNth2gt23,kmadd(J32L,kmadd(J21L,PDstandardNth23gt23,kmul(J31L,PDstandardNth33gt23)),kmul(dJ312L,PDstandardNth3gt23)))))));
+
+ JacPDstandardNth21gt33 =
+ kmadd(J12L,kmadd(J11L,PDstandardNth11gt33,kmadd(J21L,PDstandardNth12gt33,kmul(J31L,PDstandardNth13gt33))),kmadd(J11L,kmadd(J22L,PDstandardNth12gt33,kmul(J32L,PDstandardNth13gt33)),kmadd(dJ112L,PDstandardNth1gt33,kmadd(J22L,kmadd(J21L,PDstandardNth22gt33,kmul(J31L,PDstandardNth23gt33)),kmadd(dJ212L,PDstandardNth2gt33,kmadd(J32L,kmadd(J21L,PDstandardNth23gt33,kmul(J31L,PDstandardNth33gt33)),kmul(dJ312L,PDstandardNth3gt33)))))));
+
+ JacPDstandardNth23gt11 =
+ kmadd(J13L,kmadd(J12L,PDstandardNth11gt11,kmadd(J22L,PDstandardNth12gt11,kmul(J32L,PDstandardNth13gt11))),kmadd(J12L,kmadd(J23L,PDstandardNth12gt11,kmul(J33L,PDstandardNth13gt11)),kmadd(dJ123L,PDstandardNth1gt11,kmadd(J23L,kmadd(J22L,PDstandardNth22gt11,kmul(J32L,PDstandardNth23gt11)),kmadd(dJ223L,PDstandardNth2gt11,kmadd(J33L,kmadd(J22L,PDstandardNth23gt11,kmul(J32L,PDstandardNth33gt11)),kmul(dJ323L,PDstandardNth3gt11)))))));
+
+ JacPDstandardNth23gt12 =
+ kmadd(J13L,kmadd(J12L,PDstandardNth11gt12,kmadd(J22L,PDstandardNth12gt12,kmul(J32L,PDstandardNth13gt12))),kmadd(J12L,kmadd(J23L,PDstandardNth12gt12,kmul(J33L,PDstandardNth13gt12)),kmadd(dJ123L,PDstandardNth1gt12,kmadd(J23L,kmadd(J22L,PDstandardNth22gt12,kmul(J32L,PDstandardNth23gt12)),kmadd(dJ223L,PDstandardNth2gt12,kmadd(J33L,kmadd(J22L,PDstandardNth23gt12,kmul(J32L,PDstandardNth33gt12)),kmul(dJ323L,PDstandardNth3gt12)))))));
+
+ JacPDstandardNth23gt13 =
+ kmadd(J13L,kmadd(J12L,PDstandardNth11gt13,kmadd(J22L,PDstandardNth12gt13,kmul(J32L,PDstandardNth13gt13))),kmadd(J12L,kmadd(J23L,PDstandardNth12gt13,kmul(J33L,PDstandardNth13gt13)),kmadd(dJ123L,PDstandardNth1gt13,kmadd(J23L,kmadd(J22L,PDstandardNth22gt13,kmul(J32L,PDstandardNth23gt13)),kmadd(dJ223L,PDstandardNth2gt13,kmadd(J33L,kmadd(J22L,PDstandardNth23gt13,kmul(J32L,PDstandardNth33gt13)),kmul(dJ323L,PDstandardNth3gt13)))))));
+
+ JacPDstandardNth23gt22 =
+ kmadd(J13L,kmadd(J12L,PDstandardNth11gt22,kmadd(J22L,PDstandardNth12gt22,kmul(J32L,PDstandardNth13gt22))),kmadd(J12L,kmadd(J23L,PDstandardNth12gt22,kmul(J33L,PDstandardNth13gt22)),kmadd(dJ123L,PDstandardNth1gt22,kmadd(J23L,kmadd(J22L,PDstandardNth22gt22,kmul(J32L,PDstandardNth23gt22)),kmadd(dJ223L,PDstandardNth2gt22,kmadd(J33L,kmadd(J22L,PDstandardNth23gt22,kmul(J32L,PDstandardNth33gt22)),kmul(dJ323L,PDstandardNth3gt22)))))));
+
+ JacPDstandardNth23gt23 =
+ kmadd(J13L,kmadd(J12L,PDstandardNth11gt23,kmadd(J22L,PDstandardNth12gt23,kmul(J32L,PDstandardNth13gt23))),kmadd(J12L,kmadd(J23L,PDstandardNth12gt23,kmul(J33L,PDstandardNth13gt23)),kmadd(dJ123L,PDstandardNth1gt23,kmadd(J23L,kmadd(J22L,PDstandardNth22gt23,kmul(J32L,PDstandardNth23gt23)),kmadd(dJ223L,PDstandardNth2gt23,kmadd(J33L,kmadd(J22L,PDstandardNth23gt23,kmul(J32L,PDstandardNth33gt23)),kmul(dJ323L,PDstandardNth3gt23)))))));
+
+ JacPDstandardNth23gt33 =
+ kmadd(J13L,kmadd(J12L,PDstandardNth11gt33,kmadd(J22L,PDstandardNth12gt33,kmul(J32L,PDstandardNth13gt33))),kmadd(J12L,kmadd(J23L,PDstandardNth12gt33,kmul(J33L,PDstandardNth13gt33)),kmadd(dJ123L,PDstandardNth1gt33,kmadd(J23L,kmadd(J22L,PDstandardNth22gt33,kmul(J32L,PDstandardNth23gt33)),kmadd(dJ223L,PDstandardNth2gt33,kmadd(J33L,kmadd(J22L,PDstandardNth23gt33,kmul(J32L,PDstandardNth33gt33)),kmul(dJ323L,PDstandardNth3gt33)))))));
+
+ JacPDstandardNth23phi =
+ kmadd(J13L,kmadd(J12L,PDstandardNth11phi,kmadd(J22L,PDstandardNth12phi,kmul(J32L,PDstandardNth13phi))),kmadd(J12L,kmadd(J23L,PDstandardNth12phi,kmul(J33L,PDstandardNth13phi)),kmadd(dJ123L,PDstandardNth1phi,kmadd(J23L,kmadd(J22L,PDstandardNth22phi,kmul(J32L,PDstandardNth23phi)),kmadd(dJ223L,PDstandardNth2phi,kmadd(J33L,kmadd(J22L,PDstandardNth23phi,kmul(J32L,PDstandardNth33phi)),kmul(dJ323L,PDstandardNth3phi)))))));
+
+ JacPDstandardNth31gt11 =
+ kmadd(J13L,kmadd(J11L,PDstandardNth11gt11,kmadd(J21L,PDstandardNth12gt11,kmul(J31L,PDstandardNth13gt11))),kmadd(J11L,kmadd(J23L,PDstandardNth12gt11,kmul(J33L,PDstandardNth13gt11)),kmadd(dJ113L,PDstandardNth1gt11,kmadd(J23L,kmadd(J21L,PDstandardNth22gt11,kmul(J31L,PDstandardNth23gt11)),kmadd(dJ213L,PDstandardNth2gt11,kmadd(J33L,kmadd(J21L,PDstandardNth23gt11,kmul(J31L,PDstandardNth33gt11)),kmul(dJ313L,PDstandardNth3gt11)))))));
+
+ JacPDstandardNth31gt12 =
+ kmadd(J13L,kmadd(J11L,PDstandardNth11gt12,kmadd(J21L,PDstandardNth12gt12,kmul(J31L,PDstandardNth13gt12))),kmadd(J11L,kmadd(J23L,PDstandardNth12gt12,kmul(J33L,PDstandardNth13gt12)),kmadd(dJ113L,PDstandardNth1gt12,kmadd(J23L,kmadd(J21L,PDstandardNth22gt12,kmul(J31L,PDstandardNth23gt12)),kmadd(dJ213L,PDstandardNth2gt12,kmadd(J33L,kmadd(J21L,PDstandardNth23gt12,kmul(J31L,PDstandardNth33gt12)),kmul(dJ313L,PDstandardNth3gt12)))))));
+
+ JacPDstandardNth31gt13 =
+ kmadd(J13L,kmadd(J11L,PDstandardNth11gt13,kmadd(J21L,PDstandardNth12gt13,kmul(J31L,PDstandardNth13gt13))),kmadd(J11L,kmadd(J23L,PDstandardNth12gt13,kmul(J33L,PDstandardNth13gt13)),kmadd(dJ113L,PDstandardNth1gt13,kmadd(J23L,kmadd(J21L,PDstandardNth22gt13,kmul(J31L,PDstandardNth23gt13)),kmadd(dJ213L,PDstandardNth2gt13,kmadd(J33L,kmadd(J21L,PDstandardNth23gt13,kmul(J31L,PDstandardNth33gt13)),kmul(dJ313L,PDstandardNth3gt13)))))));
+
+ JacPDstandardNth31gt22 =
+ kmadd(J13L,kmadd(J11L,PDstandardNth11gt22,kmadd(J21L,PDstandardNth12gt22,kmul(J31L,PDstandardNth13gt22))),kmadd(J11L,kmadd(J23L,PDstandardNth12gt22,kmul(J33L,PDstandardNth13gt22)),kmadd(dJ113L,PDstandardNth1gt22,kmadd(J23L,kmadd(J21L,PDstandardNth22gt22,kmul(J31L,PDstandardNth23gt22)),kmadd(dJ213L,PDstandardNth2gt22,kmadd(J33L,kmadd(J21L,PDstandardNth23gt22,kmul(J31L,PDstandardNth33gt22)),kmul(dJ313L,PDstandardNth3gt22)))))));
+
+ JacPDstandardNth31gt23 =
+ kmadd(J13L,kmadd(J11L,PDstandardNth11gt23,kmadd(J21L,PDstandardNth12gt23,kmul(J31L,PDstandardNth13gt23))),kmadd(J11L,kmadd(J23L,PDstandardNth12gt23,kmul(J33L,PDstandardNth13gt23)),kmadd(dJ113L,PDstandardNth1gt23,kmadd(J23L,kmadd(J21L,PDstandardNth22gt23,kmul(J31L,PDstandardNth23gt23)),kmadd(dJ213L,PDstandardNth2gt23,kmadd(J33L,kmadd(J21L,PDstandardNth23gt23,kmul(J31L,PDstandardNth33gt23)),kmul(dJ313L,PDstandardNth3gt23)))))));
+
+ JacPDstandardNth31gt33 =
+ kmadd(J13L,kmadd(J11L,PDstandardNth11gt33,kmadd(J21L,PDstandardNth12gt33,kmul(J31L,PDstandardNth13gt33))),kmadd(J11L,kmadd(J23L,PDstandardNth12gt33,kmul(J33L,PDstandardNth13gt33)),kmadd(dJ113L,PDstandardNth1gt33,kmadd(J23L,kmadd(J21L,PDstandardNth22gt33,kmul(J31L,PDstandardNth23gt33)),kmadd(dJ213L,PDstandardNth2gt33,kmadd(J33L,kmadd(J21L,PDstandardNth23gt33,kmul(J31L,PDstandardNth33gt33)),kmul(dJ313L,PDstandardNth3gt33)))))));
+
+ JacPDstandardNth32gt11 =
+ kmadd(J13L,kmadd(J12L,PDstandardNth11gt11,kmadd(J22L,PDstandardNth12gt11,kmul(J32L,PDstandardNth13gt11))),kmadd(J12L,kmadd(J23L,PDstandardNth12gt11,kmul(J33L,PDstandardNth13gt11)),kmadd(dJ123L,PDstandardNth1gt11,kmadd(J23L,kmadd(J22L,PDstandardNth22gt11,kmul(J32L,PDstandardNth23gt11)),kmadd(dJ223L,PDstandardNth2gt11,kmadd(J33L,kmadd(J22L,PDstandardNth23gt11,kmul(J32L,PDstandardNth33gt11)),kmul(dJ323L,PDstandardNth3gt11)))))));
+
+ JacPDstandardNth32gt12 =
+ kmadd(J13L,kmadd(J12L,PDstandardNth11gt12,kmadd(J22L,PDstandardNth12gt12,kmul(J32L,PDstandardNth13gt12))),kmadd(J12L,kmadd(J23L,PDstandardNth12gt12,kmul(J33L,PDstandardNth13gt12)),kmadd(dJ123L,PDstandardNth1gt12,kmadd(J23L,kmadd(J22L,PDstandardNth22gt12,kmul(J32L,PDstandardNth23gt12)),kmadd(dJ223L,PDstandardNth2gt12,kmadd(J33L,kmadd(J22L,PDstandardNth23gt12,kmul(J32L,PDstandardNth33gt12)),kmul(dJ323L,PDstandardNth3gt12)))))));
+
+ JacPDstandardNth32gt13 =
+ kmadd(J13L,kmadd(J12L,PDstandardNth11gt13,kmadd(J22L,PDstandardNth12gt13,kmul(J32L,PDstandardNth13gt13))),kmadd(J12L,kmadd(J23L,PDstandardNth12gt13,kmul(J33L,PDstandardNth13gt13)),kmadd(dJ123L,PDstandardNth1gt13,kmadd(J23L,kmadd(J22L,PDstandardNth22gt13,kmul(J32L,PDstandardNth23gt13)),kmadd(dJ223L,PDstandardNth2gt13,kmadd(J33L,kmadd(J22L,PDstandardNth23gt13,kmul(J32L,PDstandardNth33gt13)),kmul(dJ323L,PDstandardNth3gt13)))))));
+
+ JacPDstandardNth32gt22 =
+ kmadd(J13L,kmadd(J12L,PDstandardNth11gt22,kmadd(J22L,PDstandardNth12gt22,kmul(J32L,PDstandardNth13gt22))),kmadd(J12L,kmadd(J23L,PDstandardNth12gt22,kmul(J33L,PDstandardNth13gt22)),kmadd(dJ123L,PDstandardNth1gt22,kmadd(J23L,kmadd(J22L,PDstandardNth22gt22,kmul(J32L,PDstandardNth23gt22)),kmadd(dJ223L,PDstandardNth2gt22,kmadd(J33L,kmadd(J22L,PDstandardNth23gt22,kmul(J32L,PDstandardNth33gt22)),kmul(dJ323L,PDstandardNth3gt22)))))));
+
+ JacPDstandardNth32gt23 =
+ kmadd(J13L,kmadd(J12L,PDstandardNth11gt23,kmadd(J22L,PDstandardNth12gt23,kmul(J32L,PDstandardNth13gt23))),kmadd(J12L,kmadd(J23L,PDstandardNth12gt23,kmul(J33L,PDstandardNth13gt23)),kmadd(dJ123L,PDstandardNth1gt23,kmadd(J23L,kmadd(J22L,PDstandardNth22gt23,kmul(J32L,PDstandardNth23gt23)),kmadd(dJ223L,PDstandardNth2gt23,kmadd(J33L,kmadd(J22L,PDstandardNth23gt23,kmul(J32L,PDstandardNth33gt23)),kmul(dJ323L,PDstandardNth3gt23)))))));
+
+ JacPDstandardNth32gt33 =
+ kmadd(J13L,kmadd(J12L,PDstandardNth11gt33,kmadd(J22L,PDstandardNth12gt33,kmul(J32L,PDstandardNth13gt33))),kmadd(J12L,kmadd(J23L,PDstandardNth12gt33,kmul(J33L,PDstandardNth13gt33)),kmadd(dJ123L,PDstandardNth1gt33,kmadd(J23L,kmadd(J22L,PDstandardNth22gt33,kmul(J32L,PDstandardNth23gt33)),kmadd(dJ223L,PDstandardNth2gt33,kmadd(J33L,kmadd(J22L,PDstandardNth23gt33,kmul(J32L,PDstandardNth33gt33)),kmul(dJ323L,PDstandardNth3gt33)))))));
+ }
+ else
+ {
+ JacPDstandardNth1At11 = PDstandardNth1At11;
+
+ JacPDstandardNth1At12 = PDstandardNth1At12;
+
+ JacPDstandardNth1At13 = PDstandardNth1At13;
+
+ JacPDstandardNth1At22 = PDstandardNth1At22;
+
+ JacPDstandardNth1At23 = PDstandardNth1At23;
+
+ JacPDstandardNth1At33 = PDstandardNth1At33;
+
+ JacPDstandardNth1gt11 = PDstandardNth1gt11;
+
+ JacPDstandardNth1gt12 = PDstandardNth1gt12;
+
+ JacPDstandardNth1gt13 = PDstandardNth1gt13;
+
+ JacPDstandardNth1gt22 = PDstandardNth1gt22;
+
+ JacPDstandardNth1gt23 = PDstandardNth1gt23;
+
+ JacPDstandardNth1gt33 = PDstandardNth1gt33;
+
+ JacPDstandardNth1phi = PDstandardNth1phi;
+
+ JacPDstandardNth1trK = PDstandardNth1trK;
+
+ JacPDstandardNth1Xt1 = PDstandardNth1Xt1;
+
+ JacPDstandardNth1Xt2 = PDstandardNth1Xt2;
+
+ JacPDstandardNth1Xt3 = PDstandardNth1Xt3;
+
+ JacPDstandardNth2At11 = PDstandardNth2At11;
+
+ JacPDstandardNth2At12 = PDstandardNth2At12;
+
+ JacPDstandardNth2At13 = PDstandardNth2At13;
+
+ JacPDstandardNth2At22 = PDstandardNth2At22;
+
+ JacPDstandardNth2At23 = PDstandardNth2At23;
+
+ JacPDstandardNth2At33 = PDstandardNth2At33;
+
+ JacPDstandardNth2gt11 = PDstandardNth2gt11;
+
+ JacPDstandardNth2gt12 = PDstandardNth2gt12;
+
+ JacPDstandardNth2gt13 = PDstandardNth2gt13;
+
+ JacPDstandardNth2gt22 = PDstandardNth2gt22;
+
+ JacPDstandardNth2gt23 = PDstandardNth2gt23;
+
+ JacPDstandardNth2gt33 = PDstandardNth2gt33;
+
+ JacPDstandardNth2phi = PDstandardNth2phi;
+
+ JacPDstandardNth2trK = PDstandardNth2trK;
+
+ JacPDstandardNth2Xt1 = PDstandardNth2Xt1;
+
+ JacPDstandardNth2Xt2 = PDstandardNth2Xt2;
+
+ JacPDstandardNth2Xt3 = PDstandardNth2Xt3;
+
+ JacPDstandardNth3At11 = PDstandardNth3At11;
+
+ JacPDstandardNth3At12 = PDstandardNth3At12;
+
+ JacPDstandardNth3At13 = PDstandardNth3At13;
+
+ JacPDstandardNth3At22 = PDstandardNth3At22;
+
+ JacPDstandardNth3At23 = PDstandardNth3At23;
+
+ JacPDstandardNth3At33 = PDstandardNth3At33;
+
+ JacPDstandardNth3gt11 = PDstandardNth3gt11;
+
+ JacPDstandardNth3gt12 = PDstandardNth3gt12;
+
+ JacPDstandardNth3gt13 = PDstandardNth3gt13;
+
+ JacPDstandardNth3gt22 = PDstandardNth3gt22;
+
+ JacPDstandardNth3gt23 = PDstandardNth3gt23;
+
+ JacPDstandardNth3gt33 = PDstandardNth3gt33;
+
+ JacPDstandardNth3phi = PDstandardNth3phi;
+
+ JacPDstandardNth3trK = PDstandardNth3trK;
+
+ JacPDstandardNth3Xt1 = PDstandardNth3Xt1;
+
+ JacPDstandardNth3Xt2 = PDstandardNth3Xt2;
+
+ JacPDstandardNth3Xt3 = PDstandardNth3Xt3;
+
+ JacPDstandardNth11gt11 = PDstandardNth11gt11;
+
+ JacPDstandardNth11gt12 = PDstandardNth11gt12;
+
+ JacPDstandardNth11gt13 = PDstandardNth11gt13;
+
+ JacPDstandardNth11gt22 = PDstandardNth11gt22;
+
+ JacPDstandardNth11gt23 = PDstandardNth11gt23;
+
+ JacPDstandardNth11gt33 = PDstandardNth11gt33;
+
+ JacPDstandardNth11phi = PDstandardNth11phi;
+
+ JacPDstandardNth22gt11 = PDstandardNth22gt11;
+
+ JacPDstandardNth22gt12 = PDstandardNth22gt12;
+
+ JacPDstandardNth22gt13 = PDstandardNth22gt13;
+
+ JacPDstandardNth22gt22 = PDstandardNth22gt22;
+
+ JacPDstandardNth22gt23 = PDstandardNth22gt23;
+
+ JacPDstandardNth22gt33 = PDstandardNth22gt33;
+
+ JacPDstandardNth22phi = PDstandardNth22phi;
+
+ JacPDstandardNth33gt11 = PDstandardNth33gt11;
+
+ JacPDstandardNth33gt12 = PDstandardNth33gt12;
+
+ JacPDstandardNth33gt13 = PDstandardNth33gt13;
+
+ JacPDstandardNth33gt22 = PDstandardNth33gt22;
+
+ JacPDstandardNth33gt23 = PDstandardNth33gt23;
+
+ JacPDstandardNth33gt33 = PDstandardNth33gt33;
+
+ JacPDstandardNth33phi = PDstandardNth33phi;
+
+ JacPDstandardNth12gt11 = PDstandardNth12gt11;
+
+ JacPDstandardNth12gt12 = PDstandardNth12gt12;
+
+ JacPDstandardNth12gt13 = PDstandardNth12gt13;
+
+ JacPDstandardNth12gt22 = PDstandardNth12gt22;
+
+ JacPDstandardNth12gt23 = PDstandardNth12gt23;
+
+ JacPDstandardNth12gt33 = PDstandardNth12gt33;
+
+ JacPDstandardNth12phi = PDstandardNth12phi;
+
+ JacPDstandardNth13gt11 = PDstandardNth13gt11;
+
+ JacPDstandardNth13gt12 = PDstandardNth13gt12;
+
+ JacPDstandardNth13gt13 = PDstandardNth13gt13;
+
+ JacPDstandardNth13gt22 = PDstandardNth13gt22;
+
+ JacPDstandardNth13gt23 = PDstandardNth13gt23;
+
+ JacPDstandardNth13gt33 = PDstandardNth13gt33;
+
+ JacPDstandardNth13phi = PDstandardNth13phi;
+
+ JacPDstandardNth21gt11 = PDstandardNth12gt11;
+
+ JacPDstandardNth21gt12 = PDstandardNth12gt12;
+
+ JacPDstandardNth21gt13 = PDstandardNth12gt13;
+
+ JacPDstandardNth21gt22 = PDstandardNth12gt22;
+
+ JacPDstandardNth21gt23 = PDstandardNth12gt23;
+
+ JacPDstandardNth21gt33 = PDstandardNth12gt33;
+
+ JacPDstandardNth23gt11 = PDstandardNth23gt11;
+
+ JacPDstandardNth23gt12 = PDstandardNth23gt12;
+
+ JacPDstandardNth23gt13 = PDstandardNth23gt13;
+
+ JacPDstandardNth23gt22 = PDstandardNth23gt22;
+
+ JacPDstandardNth23gt23 = PDstandardNth23gt23;
+
+ JacPDstandardNth23gt33 = PDstandardNth23gt33;
+
+ JacPDstandardNth23phi = PDstandardNth23phi;
+
+ JacPDstandardNth31gt11 = PDstandardNth13gt11;
+
+ JacPDstandardNth31gt12 = PDstandardNth13gt12;
+
+ JacPDstandardNth31gt13 = PDstandardNth13gt13;
+
+ JacPDstandardNth31gt22 = PDstandardNth13gt22;
+
+ JacPDstandardNth31gt23 = PDstandardNth13gt23;
+
+ JacPDstandardNth31gt33 = PDstandardNth13gt33;
+
+ JacPDstandardNth32gt11 = PDstandardNth23gt11;
+
+ JacPDstandardNth32gt12 = PDstandardNth23gt12;
+
+ JacPDstandardNth32gt13 = PDstandardNth23gt13;
+
+ JacPDstandardNth32gt22 = PDstandardNth23gt22;
+
+ JacPDstandardNth32gt23 = PDstandardNth23gt23;
+
+ JacPDstandardNth32gt33 = PDstandardNth23gt33;
+ }
+
+ CCTK_REAL_VEC detgt CCTK_ATTRIBUTE_UNUSED = ToReal(1);
+
+ CCTK_REAL_VEC gtu11 CCTK_ATTRIBUTE_UNUSED =
+ kdiv(kmsub(gt22L,gt33L,kmul(gt23L,gt23L)),detgt);
+
+ CCTK_REAL_VEC gtu12 CCTK_ATTRIBUTE_UNUSED =
+ kdiv(kmsub(gt13L,gt23L,kmul(gt12L,gt33L)),detgt);
+
+ CCTK_REAL_VEC gtu13 CCTK_ATTRIBUTE_UNUSED =
+ kdiv(kmsub(gt12L,gt23L,kmul(gt13L,gt22L)),detgt);
+
+ CCTK_REAL_VEC gtu22 CCTK_ATTRIBUTE_UNUSED =
+ kdiv(kmsub(gt11L,gt33L,kmul(gt13L,gt13L)),detgt);
+
+ CCTK_REAL_VEC gtu23 CCTK_ATTRIBUTE_UNUSED =
+ kdiv(kmsub(gt12L,gt13L,kmul(gt11L,gt23L)),detgt);
+
+ CCTK_REAL_VEC gtu33 CCTK_ATTRIBUTE_UNUSED =
+ kdiv(kmsub(gt11L,gt22L,kmul(gt12L,gt12L)),detgt);
+
+ CCTK_REAL_VEC Gtl111 CCTK_ATTRIBUTE_UNUSED =
+ kmul(JacPDstandardNth1gt11,ToReal(0.5));
+
+ CCTK_REAL_VEC Gtl112 CCTK_ATTRIBUTE_UNUSED =
+ kmul(JacPDstandardNth2gt11,ToReal(0.5));
+
+ CCTK_REAL_VEC Gtl113 CCTK_ATTRIBUTE_UNUSED =
+ kmul(JacPDstandardNth3gt11,ToReal(0.5));
+
+ CCTK_REAL_VEC Gtl122 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(JacPDstandardNth1gt22,ToReal(-0.5),JacPDstandardNth2gt12);
+
+ CCTK_REAL_VEC Gtl123 CCTK_ATTRIBUTE_UNUSED =
+ kmul(kadd(JacPDstandardNth2gt13,ksub(JacPDstandardNth3gt12,JacPDstandardNth1gt23)),ToReal(0.5));
+
+ CCTK_REAL_VEC Gtl133 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(JacPDstandardNth1gt33,ToReal(-0.5),JacPDstandardNth3gt13);
+
+ CCTK_REAL_VEC Gtl211 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(JacPDstandardNth2gt11,ToReal(-0.5),JacPDstandardNth1gt12);
+
+ CCTK_REAL_VEC Gtl212 CCTK_ATTRIBUTE_UNUSED =
+ kmul(JacPDstandardNth1gt22,ToReal(0.5));
+
+ CCTK_REAL_VEC Gtl213 CCTK_ATTRIBUTE_UNUSED =
+ kmul(kadd(JacPDstandardNth1gt23,ksub(JacPDstandardNth3gt12,JacPDstandardNth2gt13)),ToReal(0.5));
+
+ CCTK_REAL_VEC Gtl222 CCTK_ATTRIBUTE_UNUSED =
+ kmul(JacPDstandardNth2gt22,ToReal(0.5));
+
+ CCTK_REAL_VEC Gtl223 CCTK_ATTRIBUTE_UNUSED =
+ kmul(JacPDstandardNth3gt22,ToReal(0.5));
+
+ CCTK_REAL_VEC Gtl233 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(JacPDstandardNth2gt33,ToReal(-0.5),JacPDstandardNth3gt23);
+
+ CCTK_REAL_VEC Gtl311 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(JacPDstandardNth3gt11,ToReal(-0.5),JacPDstandardNth1gt13);
+
+ CCTK_REAL_VEC Gtl312 CCTK_ATTRIBUTE_UNUSED =
+ kmul(kadd(JacPDstandardNth1gt23,ksub(JacPDstandardNth2gt13,JacPDstandardNth3gt12)),ToReal(0.5));
+
+ CCTK_REAL_VEC Gtl313 CCTK_ATTRIBUTE_UNUSED =
+ kmul(JacPDstandardNth1gt33,ToReal(0.5));
+
+ CCTK_REAL_VEC Gtl322 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(JacPDstandardNth3gt22,ToReal(-0.5),JacPDstandardNth2gt23);
+
+ CCTK_REAL_VEC Gtl323 CCTK_ATTRIBUTE_UNUSED =
+ kmul(JacPDstandardNth2gt33,ToReal(0.5));
+
+ CCTK_REAL_VEC Gtl333 CCTK_ATTRIBUTE_UNUSED =
+ kmul(JacPDstandardNth3gt33,ToReal(0.5));
+
+ CCTK_REAL_VEC Gtlu111 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl111,gtu11,kmadd(Gtl112,gtu12,kmul(Gtl113,gtu13)));
+
+ CCTK_REAL_VEC Gtlu112 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl111,gtu12,kmadd(Gtl112,gtu22,kmul(Gtl113,gtu23)));
+
+ CCTK_REAL_VEC Gtlu113 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl111,gtu13,kmadd(Gtl112,gtu23,kmul(Gtl113,gtu33)));
+
+ CCTK_REAL_VEC Gtlu121 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl112,gtu11,kmadd(Gtl122,gtu12,kmul(Gtl123,gtu13)));
+
+ CCTK_REAL_VEC Gtlu122 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl112,gtu12,kmadd(Gtl122,gtu22,kmul(Gtl123,gtu23)));
+
+ CCTK_REAL_VEC Gtlu123 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl112,gtu13,kmadd(Gtl122,gtu23,kmul(Gtl123,gtu33)));
+
+ CCTK_REAL_VEC Gtlu131 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl113,gtu11,kmadd(Gtl123,gtu12,kmul(Gtl133,gtu13)));
+
+ CCTK_REAL_VEC Gtlu132 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl113,gtu12,kmadd(Gtl123,gtu22,kmul(Gtl133,gtu23)));
+
+ CCTK_REAL_VEC Gtlu133 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl113,gtu13,kmadd(Gtl123,gtu23,kmul(Gtl133,gtu33)));
+
+ CCTK_REAL_VEC Gtlu211 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl211,gtu11,kmadd(Gtl212,gtu12,kmul(Gtl213,gtu13)));
+
+ CCTK_REAL_VEC Gtlu212 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl211,gtu12,kmadd(Gtl212,gtu22,kmul(Gtl213,gtu23)));
+
+ CCTK_REAL_VEC Gtlu213 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl211,gtu13,kmadd(Gtl212,gtu23,kmul(Gtl213,gtu33)));
+
+ CCTK_REAL_VEC Gtlu221 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl212,gtu11,kmadd(Gtl222,gtu12,kmul(Gtl223,gtu13)));
+
+ CCTK_REAL_VEC Gtlu222 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl212,gtu12,kmadd(Gtl222,gtu22,kmul(Gtl223,gtu23)));
+
+ CCTK_REAL_VEC Gtlu223 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl212,gtu13,kmadd(Gtl222,gtu23,kmul(Gtl223,gtu33)));
+
+ CCTK_REAL_VEC Gtlu231 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl213,gtu11,kmadd(Gtl223,gtu12,kmul(Gtl233,gtu13)));
+
+ CCTK_REAL_VEC Gtlu232 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl213,gtu12,kmadd(Gtl223,gtu22,kmul(Gtl233,gtu23)));
+
+ CCTK_REAL_VEC Gtlu233 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl213,gtu13,kmadd(Gtl223,gtu23,kmul(Gtl233,gtu33)));
+
+ CCTK_REAL_VEC Gtlu311 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl311,gtu11,kmadd(Gtl312,gtu12,kmul(Gtl313,gtu13)));
+
+ CCTK_REAL_VEC Gtlu312 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl311,gtu12,kmadd(Gtl312,gtu22,kmul(Gtl313,gtu23)));
+
+ CCTK_REAL_VEC Gtlu313 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl311,gtu13,kmadd(Gtl312,gtu23,kmul(Gtl313,gtu33)));
+
+ CCTK_REAL_VEC Gtlu321 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl312,gtu11,kmadd(Gtl322,gtu12,kmul(Gtl323,gtu13)));
+
+ CCTK_REAL_VEC Gtlu322 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl312,gtu12,kmadd(Gtl322,gtu22,kmul(Gtl323,gtu23)));
+
+ CCTK_REAL_VEC Gtlu323 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl312,gtu13,kmadd(Gtl322,gtu23,kmul(Gtl323,gtu33)));
+
+ CCTK_REAL_VEC Gtlu331 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl313,gtu11,kmadd(Gtl323,gtu12,kmul(Gtl333,gtu13)));
+
+ CCTK_REAL_VEC Gtlu332 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl313,gtu12,kmadd(Gtl323,gtu22,kmul(Gtl333,gtu23)));
+
+ CCTK_REAL_VEC Gtlu333 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl313,gtu13,kmadd(Gtl323,gtu23,kmul(Gtl333,gtu33)));
+
+ CCTK_REAL_VEC Gt111 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl111,gtu11,kmadd(Gtl211,gtu12,kmul(Gtl311,gtu13)));
+
+ CCTK_REAL_VEC Gt211 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl111,gtu12,kmadd(Gtl211,gtu22,kmul(Gtl311,gtu23)));
+
+ CCTK_REAL_VEC Gt311 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl111,gtu13,kmadd(Gtl211,gtu23,kmul(Gtl311,gtu33)));
+
+ CCTK_REAL_VEC Gt112 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl112,gtu11,kmadd(Gtl212,gtu12,kmul(Gtl312,gtu13)));
+
+ CCTK_REAL_VEC Gt212 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl112,gtu12,kmadd(Gtl212,gtu22,kmul(Gtl312,gtu23)));
+
+ CCTK_REAL_VEC Gt312 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl112,gtu13,kmadd(Gtl212,gtu23,kmul(Gtl312,gtu33)));
+
+ CCTK_REAL_VEC Gt113 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl113,gtu11,kmadd(Gtl213,gtu12,kmul(Gtl313,gtu13)));
+
+ CCTK_REAL_VEC Gt213 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl113,gtu12,kmadd(Gtl213,gtu22,kmul(Gtl313,gtu23)));
+
+ CCTK_REAL_VEC Gt313 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl113,gtu13,kmadd(Gtl213,gtu23,kmul(Gtl313,gtu33)));
+
+ CCTK_REAL_VEC Gt122 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl122,gtu11,kmadd(Gtl222,gtu12,kmul(Gtl322,gtu13)));
+
+ CCTK_REAL_VEC Gt222 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl122,gtu12,kmadd(Gtl222,gtu22,kmul(Gtl322,gtu23)));
+
+ CCTK_REAL_VEC Gt322 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl122,gtu13,kmadd(Gtl222,gtu23,kmul(Gtl322,gtu33)));
+
+ CCTK_REAL_VEC Gt123 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl123,gtu11,kmadd(Gtl223,gtu12,kmul(Gtl323,gtu13)));
+
+ CCTK_REAL_VEC Gt223 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl123,gtu12,kmadd(Gtl223,gtu22,kmul(Gtl323,gtu23)));
+
+ CCTK_REAL_VEC Gt323 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl123,gtu13,kmadd(Gtl223,gtu23,kmul(Gtl323,gtu33)));
+
+ CCTK_REAL_VEC Gt133 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl133,gtu11,kmadd(Gtl233,gtu12,kmul(Gtl333,gtu13)));
+
+ CCTK_REAL_VEC Gt233 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl133,gtu12,kmadd(Gtl233,gtu22,kmul(Gtl333,gtu23)));
+
+ CCTK_REAL_VEC Gt333 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gtl133,gtu13,kmadd(Gtl233,gtu23,kmul(Gtl333,gtu33)));
+
+ CCTK_REAL_VEC Xtn1 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gt111,gtu11,kmadd(Gt122,gtu22,kmadd(Gt133,gtu33,kmul(kmadd(Gt112,gtu12,kmadd(Gt113,gtu13,kmul(Gt123,gtu23))),ToReal(2)))));
+
+ CCTK_REAL_VEC Xtn2 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gt211,gtu11,kmadd(Gt222,gtu22,kmadd(Gt233,gtu33,kmul(kmadd(Gt212,gtu12,kmadd(Gt213,gtu13,kmul(Gt223,gtu23))),ToReal(2)))));
+
+ CCTK_REAL_VEC Xtn3 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gt311,gtu11,kmadd(Gt322,gtu22,kmadd(Gt333,gtu33,kmul(kmadd(Gt312,gtu12,kmadd(Gt313,gtu13,kmul(Gt323,gtu23))),ToReal(2)))));
+
+ CCTK_REAL_VEC e4phi CCTK_ATTRIBUTE_UNUSED = IfThen(conformalMethod ==
+ 1,kdiv(ToReal(1),kmul(phiL,phiL)),kexp(kmul(phiL,ToReal(4))));
+
+ CCTK_REAL_VEC em4phi CCTK_ATTRIBUTE_UNUSED = kdiv(ToReal(1),e4phi);
+
+ CCTK_REAL_VEC gu11 CCTK_ATTRIBUTE_UNUSED = kmul(em4phi,gtu11);
+
+ CCTK_REAL_VEC gu12 CCTK_ATTRIBUTE_UNUSED = kmul(em4phi,gtu12);
+
+ CCTK_REAL_VEC gu13 CCTK_ATTRIBUTE_UNUSED = kmul(em4phi,gtu13);
+
+ CCTK_REAL_VEC gu22 CCTK_ATTRIBUTE_UNUSED = kmul(em4phi,gtu22);
+
+ CCTK_REAL_VEC gu23 CCTK_ATTRIBUTE_UNUSED = kmul(em4phi,gtu23);
+
+ CCTK_REAL_VEC gu33 CCTK_ATTRIBUTE_UNUSED = kmul(em4phi,gtu33);
+
+ CCTK_REAL_VEC Rt11 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gt211,Gtlu211,kmadd(Gt212,Gtlu212,kmadd(Gt213,Gtlu213,kmadd(Gt311,Gtlu311,kmadd(Gt312,Gtlu312,kmadd(Gt313,Gtlu313,kmadd(gt11L,JacPDstandardNth1Xt1,kmadd(gt12L,JacPDstandardNth1Xt2,kmadd(gt13L,JacPDstandardNth1Xt3,kmadd(Gtl111,Xtn1,kmadd(Gtl112,Xtn2,kmadd(Gtl113,Xtn3,knmsub(kmadd(gtu11,JacPDstandardNth11gt11,kmadd(gtu12,kadd(JacPDstandardNth12gt11,JacPDstandardNth21gt11),kmadd(gtu22,JacPDstandardNth22gt11,kmadd(gtu33,JacPDstandardNth33gt11,kmadd(gtu23,kadd(JacPDstandardNth32gt11,JacPDstandardNth23gt11),kmul(gtu13,kadd(JacPDstandardNth31gt11,JacPDstandardNth13gt11))))))),ToReal(0.5),kmadd(kmadd(Gt211,Gtlu121,kmadd(Gt212,Gtlu122,kmadd(Gt213,Gtlu123,kmadd(Gt311,Gtlu131,kmadd(Gt312,Gtlu132,kmul(Gt313,Gtlu133)))))),ToReal(2),kmul(kmadd(Gt111,Gtlu111,kmadd(Gt112,Gtlu112,kmul(Gt113,Gtlu113))),ToReal(3))))))))))))))));
+
+ CCTK_REAL_VEC Rt12 CCTK_ATTRIBUTE_UNUSED =
+ kmul(ToReal(0.5),kmadd(gt12L,JacPDstandardNth1Xt1,kmadd(gt22L,JacPDstandardNth1Xt2,kmadd(gt23L,JacPDstandardNth1Xt3,kmadd(gt11L,JacPDstandardNth2Xt1,kmadd(gt12L,JacPDstandardNth2Xt2,kmadd(gt13L,JacPDstandardNth2Xt3,kmadd(Gtl112,Xtn1,kmadd(Gtl211,Xtn1,kmadd(Gtl122,Xtn2,kmadd(Gtl212,Xtn2,kmadd(Gtl123,Xtn3,kmadd(Gtl213,Xtn3,knmsub(gtu11,JacPDstandardNth11gt12,knmsub(gtu22,JacPDstandardNth22gt12,knmsub(gtu33,JacPDstandardNth33gt12,knmsub(gtu12,kadd(JacPDstandardNth21gt12,JacPDstandardNth12gt12),knmsub(gtu13,kadd(JacPDstandardNth31gt12,JacPDstandardNth13gt12),knmsub(gtu23,kadd(JacPDstandardNth32gt12,JacPDstandardNth23gt12),kmadd(kmadd(Gt122,Gtlu112,kmadd(Gt123,Gtlu113,kmadd(Gt111,Gtlu121,kmadd(Gt212,Gtlu121,kmadd(Gt222,Gtlu122,kmadd(Gt113,Gtlu123,kmadd(Gt223,Gtlu123,kmadd(Gt312,Gtlu131,kmadd(Gt322,Gtlu132,kmadd(Gt323,Gtlu133,kmadd(Gt111,Gtlu211,kmadd(Gt112,kadd(Gtlu111,kadd(Gtlu122,Gtlu212)),kmadd(Gt113,Gtlu213,kmadd(Gt311,Gtlu231,kmadd(Gt312,Gtlu232,kmadd(Gt313,Gtlu233,kmadd(Gt311,Gtlu321,kmadd(Gt312,Gtlu322,kmul(Gt313,Gtlu323))))))))))))))))))),ToReal(2),kmul(kmadd(Gt211,Gtlu221,kmadd(Gt212,Gtlu222,kmul(Gt213,Gtlu223))),ToReal(4))))))))))))))))))))));
+
+ CCTK_REAL_VEC Rt13 CCTK_ATTRIBUTE_UNUSED =
+ kmul(ToReal(0.5),kmadd(gt13L,JacPDstandardNth1Xt1,kmadd(gt23L,JacPDstandardNth1Xt2,kmadd(gt33L,JacPDstandardNth1Xt3,kmadd(gt11L,JacPDstandardNth3Xt1,kmadd(gt12L,JacPDstandardNth3Xt2,kmadd(gt13L,JacPDstandardNth3Xt3,kmadd(Gtl113,Xtn1,kmadd(Gtl311,Xtn1,kmadd(Gtl123,Xtn2,kmadd(Gtl312,Xtn2,kmadd(Gtl133,Xtn3,kmadd(Gtl313,Xtn3,knmsub(gtu11,JacPDstandardNth11gt13,knmsub(gtu22,JacPDstandardNth22gt13,knmsub(gtu33,JacPDstandardNth33gt13,knmsub(gtu12,kadd(JacPDstandardNth21gt13,JacPDstandardNth12gt13),knmsub(gtu13,kadd(JacPDstandardNth31gt13,JacPDstandardNth13gt13),knmsub(gtu23,kadd(JacPDstandardNth32gt13,JacPDstandardNth23gt13),kmadd(kmadd(Gt123,Gtlu112,kmadd(Gt133,Gtlu113,kmadd(Gt213,Gtlu121,kmadd(Gt223,Gtlu122,kmadd(Gt233,Gtlu123,kmadd(Gt111,Gtlu131,kmadd(Gt313,Gtlu131,kmadd(Gt112,Gtlu132,kmadd(Gt323,Gtlu132,kmadd(Gt333,Gtlu133,kmadd(Gt211,Gtlu231,kmadd(Gt212,Gtlu232,kmadd(Gt213,Gtlu233,kmadd(Gt111,Gtlu311,kmadd(Gt112,Gtlu312,kmadd(Gt113,kadd(Gtlu111,kadd(Gtlu133,Gtlu313)),kmadd(Gt211,Gtlu321,kmadd(Gt212,Gtlu322,kmul(Gt213,Gtlu323))))))))))))))))))),ToReal(2),kmul(kmadd(Gt311,Gtlu331,kmadd(Gt312,Gtlu332,kmul(Gt313,Gtlu333))),ToReal(4))))))))))))))))))))));
+
+ CCTK_REAL_VEC Rt22 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gt312,Gtlu321,kmadd(Gt322,Gtlu322,kmadd(Gt323,Gtlu323,kmadd(gt12L,JacPDstandardNth2Xt1,kmadd(gt22L,JacPDstandardNth2Xt2,kmadd(gt23L,JacPDstandardNth2Xt3,kmadd(Gtl212,Xtn1,kmadd(Gtl222,Xtn2,kmadd(Gtl223,Xtn3,knmsub(kmadd(gtu11,JacPDstandardNth11gt22,kmadd(gtu12,kadd(JacPDstandardNth12gt22,JacPDstandardNth21gt22),kmadd(gtu22,JacPDstandardNth22gt22,kmadd(gtu33,JacPDstandardNth33gt22,kmadd(gtu23,kadd(JacPDstandardNth32gt22,JacPDstandardNth23gt22),kmul(gtu13,kadd(JacPDstandardNth31gt22,JacPDstandardNth13gt22))))))),ToReal(0.5),kmadd(kmadd(Gt312,Gtlu231,kmadd(Gt322,Gtlu232,kmul(Gt323,Gtlu233))),ToReal(2),kmadd(Gt112,kmadd(Gtlu211,ToReal(2),Gtlu121),kmadd(Gt122,kmadd(Gtlu212,ToReal(2),Gtlu122),kmadd(Gt123,kmadd(Gtlu213,ToReal(2),Gtlu123),kmul(kmadd(Gt212,Gtlu221,kmadd(Gt222,Gtlu222,kmul(Gt223,Gtlu223))),ToReal(3))))))))))))))));
+
+ CCTK_REAL_VEC Rt23 CCTK_ATTRIBUTE_UNUSED =
+ kmul(ToReal(0.5),kmadd(gt13L,JacPDstandardNth2Xt1,kmadd(gt23L,JacPDstandardNth2Xt2,kmadd(gt33L,JacPDstandardNth2Xt3,kmadd(gt12L,JacPDstandardNth3Xt1,kmadd(gt22L,JacPDstandardNth3Xt2,kmadd(gt23L,JacPDstandardNth3Xt3,kmadd(Gtl213,Xtn1,kmadd(Gtl312,Xtn1,kmadd(Gtl223,Xtn2,kmadd(Gtl322,Xtn2,kmadd(Gtl233,Xtn3,kmadd(Gtl323,Xtn3,knmsub(gtu11,JacPDstandardNth11gt23,knmsub(gtu22,JacPDstandardNth22gt23,knmsub(gtu33,JacPDstandardNth33gt23,knmsub(gtu12,kadd(JacPDstandardNth21gt23,JacPDstandardNth12gt23),knmsub(gtu13,kadd(JacPDstandardNth31gt23,JacPDstandardNth13gt23),knmsub(gtu23,kadd(JacPDstandardNth32gt23,JacPDstandardNth23gt23),kmadd(kmadd(Gt123,Gtlu133,kmadd(Gt113,Gtlu211,kmadd(Gt123,Gtlu212,kmadd(Gt133,Gtlu213,kmadd(Gt213,Gtlu221,kmadd(Gt223,Gtlu222,kmadd(Gt233,Gtlu223,kmadd(Gt212,Gtlu231,kmadd(Gt313,Gtlu231,kmadd(Gt222,Gtlu232,kmadd(Gt323,Gtlu232,kmadd(Gt223,Gtlu233,kmadd(Gt333,Gtlu233,kmadd(Gt112,kadd(Gtlu131,Gtlu311),kmadd(Gt122,kadd(Gtlu132,Gtlu312),kmadd(Gt123,Gtlu313,kmadd(Gt212,Gtlu321,kmadd(Gt222,Gtlu322,kmul(Gt223,Gtlu323))))))))))))))))))),ToReal(2),kmul(kmadd(Gt312,Gtlu331,kmadd(Gt322,Gtlu332,kmul(Gt323,Gtlu333))),ToReal(4))))))))))))))))))))));
+
+ CCTK_REAL_VEC Rt33 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(gt13L,JacPDstandardNth3Xt1,kmadd(gt23L,JacPDstandardNth3Xt2,kmadd(gt33L,JacPDstandardNth3Xt3,kmadd(Gtl313,Xtn1,kmadd(Gtl323,Xtn2,kmadd(Gtl333,Xtn3,knmsub(kmadd(gtu11,JacPDstandardNth11gt33,kmadd(gtu12,kadd(JacPDstandardNth12gt33,JacPDstandardNth21gt33),kmadd(gtu22,JacPDstandardNth22gt33,kmadd(gtu33,JacPDstandardNth33gt33,kmadd(gtu23,kadd(JacPDstandardNth32gt33,JacPDstandardNth23gt33),kmul(gtu13,kadd(JacPDstandardNth31gt33,JacPDstandardNth13gt33))))))),ToReal(0.5),kmadd(Gt113,kmadd(Gtlu311,ToReal(2),Gtlu131),kmadd(Gt123,kmadd(Gtlu312,ToReal(2),Gtlu132),kmadd(Gt133,kmadd(Gtlu313,ToReal(2),Gtlu133),kmadd(Gt213,kmadd(Gtlu321,ToReal(2),Gtlu231),kmadd(Gt223,kmadd(Gtlu322,ToReal(2),Gtlu232),kmadd(Gt233,kmadd(Gtlu323,ToReal(2),Gtlu233),kmul(kmadd(Gt313,Gtlu331,kmadd(Gt323,Gtlu332,kmul(Gt333,Gtlu333))),ToReal(3)))))))))))))));
+
+ CCTK_REAL_VEC fac1 CCTK_ATTRIBUTE_UNUSED = IfThen(conformalMethod ==
+ 1,kdiv(ToReal(-0.5),phiL),ToReal(1));
+
+ CCTK_REAL_VEC cdphi1 CCTK_ATTRIBUTE_UNUSED =
+ kmul(fac1,JacPDstandardNth1phi);
+
+ CCTK_REAL_VEC cdphi2 CCTK_ATTRIBUTE_UNUSED =
+ kmul(fac1,JacPDstandardNth2phi);
+
+ CCTK_REAL_VEC cdphi3 CCTK_ATTRIBUTE_UNUSED =
+ kmul(fac1,JacPDstandardNth3phi);
+
+ CCTK_REAL_VEC fac2 CCTK_ATTRIBUTE_UNUSED = IfThen(conformalMethod ==
+ 1,kdiv(ToReal(0.5),kmul(phiL,phiL)),ToReal(0));
+
+ CCTK_REAL_VEC cdphi211 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(fac2,kmul(JacPDstandardNth1phi,JacPDstandardNth1phi),kmul(fac1,ksub(JacPDstandardNth11phi,kmadd(Gt111,JacPDstandardNth1phi,kmadd(Gt311,JacPDstandardNth3phi,kmul(Gt211,JacPDstandardNth2phi))))));
+
+ CCTK_REAL_VEC cdphi212 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(fac2,kmul(JacPDstandardNth1phi,JacPDstandardNth2phi),kmul(fac1,ksub(JacPDstandardNth12phi,kmadd(Gt112,JacPDstandardNth1phi,kmadd(Gt312,JacPDstandardNth3phi,kmul(Gt212,JacPDstandardNth2phi))))));
+
+ CCTK_REAL_VEC cdphi213 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(fac2,kmul(JacPDstandardNth1phi,JacPDstandardNth3phi),kmul(fac1,ksub(JacPDstandardNth13phi,kmadd(Gt113,JacPDstandardNth1phi,kmadd(Gt313,JacPDstandardNth3phi,kmul(Gt213,JacPDstandardNth2phi))))));
+
+ CCTK_REAL_VEC cdphi222 CCTK_ATTRIBUTE_UNUSED =
+ kmsub(fac2,kmul(JacPDstandardNth2phi,JacPDstandardNth2phi),kmul(fac1,kmadd(Gt122,JacPDstandardNth1phi,kmadd(Gt222,JacPDstandardNth2phi,kmsub(Gt322,JacPDstandardNth3phi,JacPDstandardNth22phi)))));
+
+ CCTK_REAL_VEC cdphi223 CCTK_ATTRIBUTE_UNUSED =
+ kmsub(fac2,kmul(JacPDstandardNth2phi,JacPDstandardNth3phi),kmul(fac1,kmadd(Gt123,JacPDstandardNth1phi,kmadd(Gt223,JacPDstandardNth2phi,kmsub(Gt323,JacPDstandardNth3phi,JacPDstandardNth23phi)))));
+
+ CCTK_REAL_VEC cdphi233 CCTK_ATTRIBUTE_UNUSED =
+ kmsub(fac2,kmul(JacPDstandardNth3phi,JacPDstandardNth3phi),kmul(fac1,kmadd(Gt133,JacPDstandardNth1phi,kmadd(Gt233,JacPDstandardNth2phi,kmsub(Gt333,JacPDstandardNth3phi,JacPDstandardNth33phi)))));
+
+ CCTK_REAL_VEC Rphi11 CCTK_ATTRIBUTE_UNUSED =
+ kmul(ToReal(-2),kadd(cdphi211,kmadd(kmul(cdphi1,cdphi1),kmul(kmadd(gt11L,gtu11,ToReal(-1)),ToReal(2)),kmul(gt11L,kmadd(cdphi211,gtu11,kmadd(cdphi233,gtu33,kmadd(kmadd(cdphi212,gtu12,kmadd(cdphi213,gtu13,kmadd(cdphi223,gtu23,kmul(gtu33,kmul(cdphi3,cdphi3))))),ToReal(2),kmadd(gtu22,kmadd(kmul(cdphi2,cdphi2),ToReal(2),cdphi222),kmul(kmadd(cdphi1,kmadd(cdphi2,gtu12,kmul(cdphi3,gtu13)),kmul(cdphi2,kmul(cdphi3,gtu23))),ToReal(4))))))))));
+
+ CCTK_REAL_VEC Rphi12 CCTK_ATTRIBUTE_UNUSED =
+ kmul(ToReal(-2),kadd(cdphi212,kmadd(gt12L,kmadd(cdphi211,gtu11,kmadd(kmadd(cdphi212,gtu12,kmadd(cdphi213,gtu13,kmadd(cdphi223,gtu23,kmul(gtu11,kmul(cdphi1,cdphi1))))),ToReal(2),kmadd(gtu22,kmadd(kmul(cdphi2,cdphi2),ToReal(2),cdphi222),kmadd(gtu33,kmadd(kmul(cdphi3,cdphi3),ToReal(2),cdphi233),kmul(cdphi2,kmul(cdphi3,kmul(gtu23,ToReal(4)))))))),kmul(cdphi1,kmadd(gt12L,kmul(cdphi3,kmul(gtu13,ToReal(4))),kmul(cdphi2,kmadd(gt12L,kmul(gtu12,ToReal(4)),ToReal(-2))))))));
+
+ CCTK_REAL_VEC Rphi13 CCTK_ATTRIBUTE_UNUSED =
+ kmul(ToReal(-2),kadd(cdphi213,kmadd(gt13L,kmadd(cdphi211,gtu11,kmadd(kmadd(cdphi212,gtu12,kmadd(cdphi213,gtu13,kmadd(cdphi223,gtu23,kmul(gtu11,kmul(cdphi1,cdphi1))))),ToReal(2),kmadd(gtu22,kmadd(kmul(cdphi2,cdphi2),ToReal(2),cdphi222),kmadd(gtu33,kmadd(kmul(cdphi3,cdphi3),ToReal(2),cdphi233),kmul(cdphi2,kmul(cdphi3,kmul(gtu23,ToReal(4)))))))),kmul(cdphi1,kmadd(gt13L,kmul(cdphi2,kmul(gtu12,ToReal(4))),kmul(cdphi3,kmadd(gt13L,kmul(gtu13,ToReal(4)),ToReal(-2))))))));
+
+ CCTK_REAL_VEC Rphi22 CCTK_ATTRIBUTE_UNUSED =
+ kmul(ToReal(-2),kadd(cdphi222,kmadd(kmul(cdphi2,cdphi2),kmul(kmadd(gt22L,gtu22,ToReal(-1)),ToReal(2)),kmul(gt22L,kmadd(cdphi222,gtu22,kmadd(cdphi233,gtu33,kmadd(kmadd(cdphi212,gtu12,kmadd(cdphi213,gtu13,kmadd(cdphi223,gtu23,kmul(gtu33,kmul(cdphi3,cdphi3))))),ToReal(2),kmadd(gtu11,kmadd(kmul(cdphi1,cdphi1),ToReal(2),cdphi211),kmul(kmadd(cdphi1,kmul(cdphi3,gtu13),kmul(cdphi2,kmadd(cdphi1,gtu12,kmul(cdphi3,gtu23)))),ToReal(4))))))))));
+
+ CCTK_REAL_VEC Rphi23 CCTK_ATTRIBUTE_UNUSED =
+ kmul(ToReal(-2),kadd(cdphi223,kmadd(gt23L,kmadd(cdphi222,gtu22,kmadd(kmadd(cdphi212,gtu12,kmadd(cdphi213,gtu13,kmadd(cdphi223,gtu23,kmul(gtu22,kmul(cdphi2,cdphi2))))),ToReal(2),kmadd(gtu11,kmadd(kmul(cdphi1,cdphi1),ToReal(2),cdphi211),kmadd(gtu33,kmadd(kmul(cdphi3,cdphi3),ToReal(2),cdphi233),kmul(cdphi1,kmul(cdphi3,kmul(gtu13,ToReal(4)))))))),kmul(cdphi2,kmadd(gt23L,kmul(cdphi1,kmul(gtu12,ToReal(4))),kmul(cdphi3,kmadd(gt23L,kmul(gtu23,ToReal(4)),ToReal(-2))))))));
+
+ CCTK_REAL_VEC Rphi33 CCTK_ATTRIBUTE_UNUSED =
+ kmul(ToReal(-2),kadd(cdphi233,kmadd(kmul(cdphi3,cdphi3),kmul(kmadd(gt33L,gtu33,ToReal(-1)),ToReal(2)),kmul(gt33L,kmadd(cdphi233,gtu33,kmadd(kmadd(cdphi213,gtu13,kmul(cdphi223,gtu23)),ToReal(2),kmadd(gtu11,kmadd(kmul(cdphi1,cdphi1),ToReal(2),cdphi211),kmadd(gtu22,kmadd(kmul(cdphi2,cdphi2),ToReal(2),cdphi222),kmadd(cdphi3,kmul(kmadd(cdphi1,gtu13,kmul(cdphi2,gtu23)),ToReal(4)),kmul(gtu12,kmadd(cdphi212,ToReal(2),kmul(cdphi1,kmul(cdphi2,ToReal(4))))))))))))));
+
+ CCTK_REAL_VEC R11 CCTK_ATTRIBUTE_UNUSED = kadd(Rphi11,Rt11);
+
+ CCTK_REAL_VEC R12 CCTK_ATTRIBUTE_UNUSED = kadd(Rphi12,Rt12);
+
+ CCTK_REAL_VEC R13 CCTK_ATTRIBUTE_UNUSED = kadd(Rphi13,Rt13);
+
+ CCTK_REAL_VEC R22 CCTK_ATTRIBUTE_UNUSED = kadd(Rphi22,Rt22);
+
+ CCTK_REAL_VEC R23 CCTK_ATTRIBUTE_UNUSED = kadd(Rphi23,Rt23);
+
+ CCTK_REAL_VEC R33 CCTK_ATTRIBUTE_UNUSED = kadd(Rphi33,Rt33);
+
+ CCTK_REAL_VEC trR CCTK_ATTRIBUTE_UNUSED =
+ kmadd(gu11,R11,kmadd(gu22,R22,kmadd(gu33,R33,kmul(kmadd(gu12,R12,kmadd(gu13,R13,kmul(gu23,R23))),ToReal(2)))));
+
+ CCTK_REAL_VEC Atm11 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(At11L,gtu11,kmadd(At12L,gtu12,kmul(At13L,gtu13)));
+
+ CCTK_REAL_VEC Atm21 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(At11L,gtu12,kmadd(At12L,gtu22,kmul(At13L,gtu23)));
+
+ CCTK_REAL_VEC Atm31 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(At11L,gtu13,kmadd(At12L,gtu23,kmul(At13L,gtu33)));
+
+ CCTK_REAL_VEC Atm12 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(At12L,gtu11,kmadd(At22L,gtu12,kmul(At23L,gtu13)));
+
+ CCTK_REAL_VEC Atm22 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(At12L,gtu12,kmadd(At22L,gtu22,kmul(At23L,gtu23)));
+
+ CCTK_REAL_VEC Atm32 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(At12L,gtu13,kmadd(At22L,gtu23,kmul(At23L,gtu33)));
+
+ CCTK_REAL_VEC Atm13 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(At13L,gtu11,kmadd(At23L,gtu12,kmul(At33L,gtu13)));
+
+ CCTK_REAL_VEC Atm23 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(At13L,gtu12,kmadd(At23L,gtu22,kmul(At33L,gtu23)));
+
+ CCTK_REAL_VEC Atm33 CCTK_ATTRIBUTE_UNUSED =
+ kmadd(At13L,gtu13,kmadd(At23L,gtu23,kmul(At33L,gtu33)));
+
+ CCTK_REAL_VEC rho CCTK_ATTRIBUTE_UNUSED =
+ kdiv(kadd(eTttL,kmadd(eTxxL,kmul(beta1L,beta1L),kmadd(eTyyL,kmul(beta2L,beta2L),kmadd(eTzzL,kmul(beta3L,beta3L),kmadd(kmadd(beta2L,eTtyL,kmul(beta3L,eTtzL)),ToReal(-2),kmul(kmadd(beta2L,kmul(beta3L,eTyzL),kmul(beta1L,kmadd(beta2L,eTxyL,kmsub(beta3L,eTxzL,eTtxL)))),ToReal(2))))))),kmul(alphaL,alphaL));
+
+ CCTK_REAL_VEC S1 CCTK_ATTRIBUTE_UNUSED =
+ kdiv(kmadd(beta1L,eTxxL,kmadd(beta2L,eTxyL,kmsub(beta3L,eTxzL,eTtxL))),alphaL);
+
+ CCTK_REAL_VEC S2 CCTK_ATTRIBUTE_UNUSED =
+ kdiv(kmadd(beta1L,eTxyL,kmadd(beta2L,eTyyL,kmsub(beta3L,eTyzL,eTtyL))),alphaL);
+
+ CCTK_REAL_VEC S3 CCTK_ATTRIBUTE_UNUSED =
+ kdiv(kmadd(beta1L,eTxzL,kmadd(beta2L,eTyzL,kmsub(beta3L,eTzzL,eTtzL))),alphaL);
+
+ CCTK_REAL_VEC HL CCTK_ATTRIBUTE_UNUSED =
+ kadd(trR,kmadd(kmadd(Atm12,Atm21,kmadd(Atm13,Atm31,kmul(Atm23,Atm32))),ToReal(-2),knmsub(Atm11,Atm11,knmsub(Atm22,Atm22,knmsub(Atm33,Atm33,kmadd(kmul(trKL,trKL),ToReal(0.666666666666666666666666666667),kmul(rho,ToReal(-50.2654824574366918154022941325))))))));
+
+ CCTK_REAL_VEC M1L CCTK_ATTRIBUTE_UNUSED =
+ kmadd(gtu11,JacPDstandardNth1At11,kmadd(gtu12,JacPDstandardNth2At11,kmadd(gtu22,JacPDstandardNth2At12,kmadd(gtu23,JacPDstandardNth2At13,kmadd(gtu13,JacPDstandardNth3At11,kmadd(gtu23,JacPDstandardNth3At12,kmadd(gtu33,JacPDstandardNth3At13,kmadd(gtu12,kadd(JacPDstandardNth1At12,kmsub(At13L,kmul(Gt312,ToReal(-3)),kmul(At22L,Gt211))),kmadd(gtu13,kadd(JacPDstandardNth1At13,kmsub(At13L,kmul(Gt313,ToReal(-3)),kmul(At23L,Gt211))),knmsub(gtu22,kmadd(At23L,Gt312,kmul(At22L,Gt212)),kmadd(Gt311,kmsub(At13L,kmul(gtu11,ToReal(-2)),kmadd(At33L,gtu13,kmul(At23L,gtu12))),kmadd(At13L,kmsub(Gt323,kmul(gtu23,ToReal(-2)),kmul(Gt113,gtu33)),kmadd(JacPDstandardNth1trK,ToReal(-0.666666666666666666666666666667),knmsub(At12L,kmadd(Gt111,gtu12,kmadd(Gt112,gtu22,kmadd(Gt222,gtu22,kmadd(Gt113,gtu23,kmadd(Gt233,gtu33,kmadd(cdphi1,kmul(gtu12,ToReal(-6)),kmadd(cdphi2,kmul(gtu22,ToReal(-6)),kmadd(cdphi3,kmul(gtu23,ToReal(-6)),kmadd(Gt211,kmul(gtu11,ToReal(2)),kmadd(Gt223,kmul(gtu23,ToReal(2)),kmadd(Gt212,kmul(gtu12,ToReal(3)),kmul(Gt213,kmul(gtu13,ToReal(3)))))))))))))),kmadd(gtu23,knmsub(At22L,Gt213,knmsub(At33L,Gt312,kmsub(At13L,kmul(cdphi2,ToReal(6)),kmul(At23L,kadd(Gt313,Gt212))))),kmadd(gtu33,knmsub(At23L,Gt213,kmsub(At13L,kmul(cdphi3,ToReal(6)),kmul(At33L,Gt313))),kmadd(At11L,kmadd(Gt112,kmul(gtu12,ToReal(-3)),kmadd(Gt113,kmul(gtu13,ToReal(-3)),kmadd(Gt111,kmul(gtu11,ToReal(-2)),kmadd(Gt123,kmul(gtu23,ToReal(-2)),knmsub(Gt122,gtu22,knmsub(Gt133,gtu33,kmadd(cdphi1,kmul(gtu11,ToReal(6)),kmadd(cdphi2,kmul(gtu12,ToReal(6)),kmul(cdphi3,kmul(gtu13,ToReal(6))))))))))),kmadd(At13L,knmsub(Gt322,gtu22,knmsub(Gt112,gtu23,kmsub(gtu13,kmsub(cdphi1,ToReal(6),Gt111),kmul(Gt333,gtu33)))),kmul(S1,ToReal(-25.1327412287183459077011470662))))))))))))))))))));
+
+ CCTK_REAL_VEC M2L CCTK_ATTRIBUTE_UNUSED =
+ kmadd(gtu11,JacPDstandardNth1At12,kmadd(gtu12,JacPDstandardNth1At22,kmadd(gtu13,JacPDstandardNth1At23,kmadd(gtu12,JacPDstandardNth2At12,kmadd(gtu22,JacPDstandardNth2At22,kmadd(gtu23,JacPDstandardNth2At23,kmadd(gtu13,JacPDstandardNth3At12,kmadd(gtu23,JacPDstandardNth3At22,kmadd(gtu33,JacPDstandardNth3At23,kmadd(At22L,kmul(Gt222,kmul(gtu22,ToReal(-2))),knmsub(At11L,kmadd(Gt112,gtu11,kmadd(Gt122,gtu12,kmul(Gt123,gtu13))),knmsub(gtu11,kmadd(At22L,Gt211,kmadd(At13L,Gt312,kmul(At23L,Gt311))),kmadd(Gt212,kmsub(At22L,kmul(gtu12,ToReal(-3)),kmul(At23L,gtu13)),kmadd(Gt312,kmsub(At23L,kmul(gtu12,ToReal(-3)),kmul(At33L,gtu13)),kmadd(Gt322,kmsub(At23L,kmul(gtu22,ToReal(-2)),kmul(At33L,gtu23)),kmadd(Gt223,kmsub(At22L,kmul(gtu23,ToReal(-3)),kmul(At23L,gtu33)),kmadd(Gt323,kmsub(At23L,kmul(gtu23,ToReal(-3)),kmul(At33L,gtu33)),kmadd(At22L,kmsub(Gt213,kmul(gtu13,ToReal(-2)),kmul(Gt233,gtu33)),kmadd(At23L,kmsub(Gt313,kmul(gtu13,ToReal(-2)),kmadd(Gt333,gtu33,kmul(Gt222,gtu23))),kmadd(JacPDstandardNth2trK,ToReal(-0.666666666666666666666666666667),kmadd(At22L,kmul(cdphi2,kmul(gtu22,ToReal(6))),kmadd(At22L,kmul(cdphi3,kmul(gtu23,ToReal(6))),kmadd(gtu12,kmsub(At22L,kmul(cdphi1,ToReal(6)),kmul(At13L,Gt322)),kmadd(gtu13,kmsub(At23L,kmul(cdphi1,ToReal(6)),kmul(At13L,kadd(Gt323,Gt112))),kmadd(gtu23,kmsub(At23L,kmul(cdphi2,ToReal(6)),kmul(At13L,Gt122)),kmadd(gtu33,kmsub(At23L,kmul(cdphi3,ToReal(6)),kmul(At13L,Gt123)),kmadd(At12L,kmadd(Gt112,kmul(gtu12,ToReal(-3)),kmadd(Gt123,kmul(gtu23,ToReal(-3)),kmadd(Gt113,kmul(gtu13,ToReal(-2)),kmadd(Gt122,kmul(gtu22,ToReal(-2)),knmsub(Gt133,gtu33,kmadd(gtu11,ksub(kmsub(cdphi1,ToReal(6),Gt212),Gt111),kmadd(gtu12,kmsub(cdphi2,ToReal(6),Gt222),kmul(gtu13,kmsub(cdphi3,ToReal(6),Gt223))))))))),kmul(S2,ToReal(-25.1327412287183459077011470662)))))))))))))))))))))))))))));
+
+ CCTK_REAL_VEC M3L CCTK_ATTRIBUTE_UNUSED =
+ kmadd(gtu11,JacPDstandardNth1At13,kmadd(gtu12,JacPDstandardNth1At23,kmadd(gtu13,JacPDstandardNth1At33,kmadd(gtu12,JacPDstandardNth2At13,kmadd(gtu22,JacPDstandardNth2At23,kmadd(gtu23,JacPDstandardNth2At33,kmadd(gtu13,JacPDstandardNth3At13,kmadd(gtu23,JacPDstandardNth3At23,kmadd(gtu33,JacPDstandardNth3At33,kmadd(At33L,kmul(Gt313,kmul(gtu13,ToReal(-3))),kmadd(At23L,kmul(Gt223,kmul(gtu23,ToReal(-3))),kmadd(At33L,kmul(Gt323,kmul(gtu23,ToReal(-3))),kmadd(At23L,kmul(Gt233,kmul(gtu33,ToReal(-2))),kmadd(At33L,kmul(Gt333,kmul(gtu33,ToReal(-2))),knmsub(At11L,kmadd(Gt113,gtu11,kmadd(Gt123,gtu12,kmul(Gt133,gtu13))),kmadd(gtu12,kmsub(At23L,kmul(Gt212,ToReal(-2)),kmul(At12L,Gt223)),knmsub(gtu11,kmadd(At23L,Gt211,kmadd(At33L,Gt311,kmul(At12L,Gt213))),kmadd(At33L,kmsub(Gt312,kmul(gtu12,ToReal(-2)),kmul(Gt322,gtu22)),kmadd(At23L,kmsub(Gt213,kmul(gtu13,ToReal(-3)),kmadd(Gt333,gtu23,kmul(Gt222,gtu22))),kmadd(JacPDstandardNth3trK,ToReal(-0.666666666666666666666666666667),kmadd(At33L,kmul(cdphi3,kmul(gtu33,ToReal(6))),kmadd(gtu13,kmsub(At33L,kmul(cdphi1,ToReal(6)),kmul(At12L,Gt233)),kmadd(gtu23,kmsub(At33L,kmul(cdphi2,ToReal(6)),kmul(At12L,Gt133)),kmadd(gtu23,kmsub(At23L,kmul(cdphi3,ToReal(6)),kmul(At22L,Gt233)),kmadd(gtu12,knmsub(At12L,Gt113,kmsub(At23L,kmsub(cdphi1,ToReal(6),Gt313),kmul(At22L,Gt213))),kmadd(gtu22,knmsub(At12L,Gt123,kmsub(At23L,kmsub(cdphi2,ToReal(6),Gt323),kmul(At22L,Gt223))),kmadd(At13L,kmadd(Gt113,kmul(gtu13,ToReal(-3)),kmadd(Gt123,kmul(gtu23,ToReal(-3)),kmadd(Gt112,kmul(gtu12,ToReal(-2)),kmadd(Gt133,kmul(gtu33,ToReal(-2)),knmsub(Gt122,gtu22,kmadd(gtu11,ksub(kmsub(cdphi1,ToReal(6),Gt313),Gt111),kmadd(gtu12,kmsub(cdphi2,ToReal(6),Gt323),kmul(gtu13,kmsub(cdphi3,ToReal(6),Gt333))))))))),kmul(S3,ToReal(-25.1327412287183459077011470662)))))))))))))))))))))))))))));
+
+ CCTK_REAL_VEC cSL CCTK_ATTRIBUTE_UNUSED = klog(detgt);
+
+ CCTK_REAL_VEC cXt1L CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gt111,gtu11,kmadd(Gt122,gtu22,kmadd(Gt133,gtu33,kmsub(kmadd(Gt112,gtu12,kmadd(Gt113,gtu13,kmul(Gt123,gtu23))),ToReal(2),Xt1L))));
+
+ CCTK_REAL_VEC cXt2L CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gt211,gtu11,kmadd(Gt222,gtu22,kmadd(Gt233,gtu33,kmsub(kmadd(Gt212,gtu12,kmadd(Gt213,gtu13,kmul(Gt223,gtu23))),ToReal(2),Xt2L))));
+
+ CCTK_REAL_VEC cXt3L CCTK_ATTRIBUTE_UNUSED =
+ kmadd(Gt311,gtu11,kmadd(Gt322,gtu22,kmadd(Gt333,gtu33,kmsub(kmadd(Gt312,gtu12,kmadd(Gt313,gtu13,kmul(Gt323,gtu23))),ToReal(2),Xt3L))));
+
+ CCTK_REAL_VEC cAL CCTK_ATTRIBUTE_UNUSED =
+ kmadd(At11L,gtu11,kmadd(At22L,gtu22,kmadd(At33L,gtu33,kmul(kmadd(At12L,gtu12,kmadd(At13L,gtu13,kmul(At23L,gtu23))),ToReal(2)))));
+
+ /* Copy local copies back to grid functions */
+ vec_store_partial_prepare(i,vecimin,vecimax);
+ vec_store_nta_partial(cA[index],cAL);
+ vec_store_nta_partial(cS[index],cSL);
+ vec_store_nta_partial(cXt1[index],cXt1L);
+ vec_store_nta_partial(cXt2[index],cXt2L);
+ vec_store_nta_partial(cXt3[index],cXt3L);
+ vec_store_nta_partial(H[index],HL);
+ vec_store_nta_partial(M1[index],M1L);
+ vec_store_nta_partial(M2[index],M2L);
+ vec_store_nta_partial(M3[index],M3L);
+ }
+ CCTK_ENDLOOP3STR(ML_BSSN_constraints);
+}
+
+extern "C" void ML_BSSN_constraints(CCTK_ARGUMENTS)
+{
+ DECLARE_CCTK_ARGUMENTS;
+ DECLARE_CCTK_PARAMETERS;
+
+
+ if (verbose > 1)
+ {
+ CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_constraints_Body");
+ }
+
+ if (cctk_iteration % ML_BSSN_constraints_calc_every != ML_BSSN_constraints_calc_offset)
+ {
+ return;
+ }
+
+ const char* const groups[] = {
+ "ML_BSSN::ML_cons_detg",
+ "ML_BSSN::ML_cons_Gamma",
+ "ML_BSSN::ML_cons_traceA",
+ "ML_BSSN::ML_curv",
+ "ML_BSSN::ML_Gamma",
+ "ML_BSSN::ML_Ham",
+ "ML_BSSN::ML_lapse",
+ "ML_BSSN::ML_log_confac",
+ "ML_BSSN::ML_metric",
+ "ML_BSSN::ML_mom",
+ "ML_BSSN::ML_shift",
+ "ML_BSSN::ML_trace_curv"};
+ GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_constraints", 12, groups);
+
+ switch (fdOrder)
+ {
+ case 2:
+ {
+ GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_constraints", 1, 1, 1);
+ break;
+ }
+
+ case 4:
+ {
+ GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_constraints", 2, 2, 2);
+ break;
+ }
+
+ case 6:
+ {
+ GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_constraints", 3, 3, 3);
+ break;
+ }
+
+ case 8:
+ {
+ GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_constraints", 4, 4, 4);
+ break;
+ }
+ default:
+ CCTK_BUILTIN_UNREACHABLE();
+ }
+
+ GenericFD_LoopOverInterior(cctkGH, ML_BSSN_constraints_Body);
+
+ if (verbose > 1)
+ {
+ CCTK_VInfo(CCTK_THORNSTRING,"Leaving ML_BSSN_constraints_Body");
+ }
+}