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authorErik Schnetter <schnetter@gmail.com>2012-05-02 10:02:40 -0400
committerErik Schnetter <schnetter@gmail.com>2012-05-02 10:02:40 -0400
commit258a6712039d8cf7856f739b7eba47f7976af444 (patch)
treec4e4488ea05f7bc43533bf263eb95f84ac7281a1 /ML_ADMConstraints
parent620e3b49672b16ad59089b4c8388a3099228614f (diff)
Regenerate code, removing the *_O* and *_MP thorns
Diffstat (limited to 'ML_ADMConstraints')
-rw-r--r--ML_ADMConstraints/param.ccl3
-rw-r--r--ML_ADMConstraints/schedule.ccl39
-rw-r--r--ML_ADMConstraints/src/ML_ADMConstraints.cc1070
3 files changed, 970 insertions, 142 deletions
diff --git a/ML_ADMConstraints/param.ccl b/ML_ADMConstraints/param.ccl
index 76915f6..566dd14 100644
--- a/ML_ADMConstraints/param.ccl
+++ b/ML_ADMConstraints/param.ccl
@@ -3,6 +3,9 @@
shares: GenericFD
+USES CCTK_STRING jacobian_group
+USES CCTK_STRING jacobian_derivative_group
+USES CCTK_INT jacobian_identity_map
shares: MethodOfLines
diff --git a/ML_ADMConstraints/schedule.ccl b/ML_ADMConstraints/schedule.ccl
index 095a226..d0c358e 100644
--- a/ML_ADMConstraints/schedule.ccl
+++ b/ML_ADMConstraints/schedule.ccl
@@ -47,15 +47,36 @@ schedule group ML_ADMConstraints_group in MoL_PseudoEvolution after MoL_PostStep
schedule ML_ADMConstraints in ML_ADMConstraints_group
{
LANG: C
- READS: ADMBase::curv
- READS: ADMBase::lapse
- READS: ADMBase::metric
- READS: ADMBase::shift
- READS: TmunuBase::stress_energy_scalar
- READS: TmunuBase::stress_energy_tensor
- READS: TmunuBase::stress_energy_vector
- WRITES: ML_ADMConstraints::ML_Ham
- WRITES: ML_ADMConstraints::ML_mom
+ READS: ADMBase::alp
+ READS: ADMBase::betax
+ READS: ADMBase::betay
+ READS: ADMBase::betaz
+ READS: TmunuBase::eTtt
+ READS: TmunuBase::eTtx
+ READS: TmunuBase::eTty
+ READS: TmunuBase::eTtz
+ READS: TmunuBase::eTxx
+ READS: TmunuBase::eTxy
+ READS: TmunuBase::eTxz
+ READS: TmunuBase::eTyy
+ READS: TmunuBase::eTyz
+ READS: TmunuBase::eTzz
+ READS: ADMBase::gxx
+ READS: ADMBase::gxy
+ READS: ADMBase::gxz
+ READS: ADMBase::gyy
+ READS: ADMBase::gyz
+ READS: ADMBase::gzz
+ READS: ADMBase::kxx
+ READS: ADMBase::kxy
+ READS: ADMBase::kxz
+ READS: ADMBase::kyy
+ READS: ADMBase::kyz
+ READS: ADMBase::kzz
+ WRITES: ML_ADMConstraints::H
+ WRITES: ML_ADMConstraints::M1
+ WRITES: ML_ADMConstraints::M2
+ WRITES: ML_ADMConstraints::M3
} "ML_ADMConstraints"
schedule ML_ADMConstraints_SelectBCs in ML_ADMConstraints_bc_group
diff --git a/ML_ADMConstraints/src/ML_ADMConstraints.cc b/ML_ADMConstraints/src/ML_ADMConstraints.cc
index 4c59931..1a89aa7 100644
--- a/ML_ADMConstraints/src/ML_ADMConstraints.cc
+++ b/ML_ADMConstraints/src/ML_ADMConstraints.cc
@@ -80,6 +80,51 @@ static void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const
CCTK_REAL const pm1o12dy2 = -0.0833333333333333333333333333333*INV(SQR(dy));
CCTK_REAL const pm1o12dz2 = -0.0833333333333333333333333333333*INV(SQR(dz));
+ /* Jacobian variable pointers */
+ bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map)
+ && strlen(jacobian_group) > 0;
+ 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");
+ }
+
+ CCTK_REAL const *restrict jacobian_ptrs[9];
+ if (use_jacobian) GenericFD_GroupDataPointers(cctkGH, jacobian_group,
+ 9, jacobian_ptrs);
+
+ CCTK_REAL const *restrict const J11 = use_jacobian ? jacobian_ptrs[0] : 0;
+ CCTK_REAL const *restrict const J12 = use_jacobian ? jacobian_ptrs[1] : 0;
+ CCTK_REAL const *restrict const J13 = use_jacobian ? jacobian_ptrs[2] : 0;
+ CCTK_REAL const *restrict const J21 = use_jacobian ? jacobian_ptrs[3] : 0;
+ CCTK_REAL const *restrict const J22 = use_jacobian ? jacobian_ptrs[4] : 0;
+ CCTK_REAL const *restrict const J23 = use_jacobian ? jacobian_ptrs[5] : 0;
+ CCTK_REAL const *restrict const J31 = use_jacobian ? jacobian_ptrs[6] : 0;
+ CCTK_REAL const *restrict const J32 = use_jacobian ? jacobian_ptrs[7] : 0;
+ CCTK_REAL const *restrict const J33 = use_jacobian ? jacobian_ptrs[8] : 0;
+
+ CCTK_REAL const *restrict jacobian_derivative_ptrs[18];
+ if (use_jacobian) GenericFD_GroupDataPointers(cctkGH, jacobian_derivative_group,
+ 18, jacobian_derivative_ptrs);
+
+ CCTK_REAL const *restrict const dJ111 = use_jacobian ? jacobian_derivative_ptrs[0] : 0;
+ CCTK_REAL const *restrict const dJ112 = use_jacobian ? jacobian_derivative_ptrs[1] : 0;
+ CCTK_REAL const *restrict const dJ113 = use_jacobian ? jacobian_derivative_ptrs[2] : 0;
+ CCTK_REAL const *restrict const dJ122 = use_jacobian ? jacobian_derivative_ptrs[3] : 0;
+ CCTK_REAL const *restrict const dJ123 = use_jacobian ? jacobian_derivative_ptrs[4] : 0;
+ CCTK_REAL const *restrict const dJ133 = use_jacobian ? jacobian_derivative_ptrs[5] : 0;
+ CCTK_REAL const *restrict const dJ211 = use_jacobian ? jacobian_derivative_ptrs[6] : 0;
+ CCTK_REAL const *restrict const dJ212 = use_jacobian ? jacobian_derivative_ptrs[7] : 0;
+ CCTK_REAL const *restrict const dJ213 = use_jacobian ? jacobian_derivative_ptrs[8] : 0;
+ CCTK_REAL const *restrict const dJ222 = use_jacobian ? jacobian_derivative_ptrs[9] : 0;
+ CCTK_REAL const *restrict const dJ223 = use_jacobian ? jacobian_derivative_ptrs[10] : 0;
+ CCTK_REAL const *restrict const dJ233 = use_jacobian ? jacobian_derivative_ptrs[11] : 0;
+ CCTK_REAL const *restrict const dJ311 = use_jacobian ? jacobian_derivative_ptrs[12] : 0;
+ CCTK_REAL const *restrict const dJ312 = use_jacobian ? jacobian_derivative_ptrs[13] : 0;
+ CCTK_REAL const *restrict const dJ313 = use_jacobian ? jacobian_derivative_ptrs[14] : 0;
+ CCTK_REAL const *restrict const dJ322 = use_jacobian ? jacobian_derivative_ptrs[15] : 0;
+ CCTK_REAL const *restrict const dJ323 = use_jacobian ? jacobian_derivative_ptrs[16] : 0;
+ CCTK_REAL const *restrict const dJ333 = use_jacobian ? jacobian_derivative_ptrs[17] : 0;
+
/* Assign local copies of arrays functions */
@@ -144,18 +189,56 @@ static void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const
eTzzL = ToReal(0.0);
}
+ CCTK_REAL 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;
+
+ if (use_jacobian)
+ {
+ dJ111L = dJ111[index];
+ dJ112L = dJ112[index];
+ dJ113L = dJ113[index];
+ dJ122L = dJ122[index];
+ dJ123L = dJ123[index];
+ dJ133L = dJ133[index];
+ dJ211L = dJ211[index];
+ dJ212L = dJ212[index];
+ dJ213L = dJ213[index];
+ dJ222L = dJ222[index];
+ dJ223L = dJ223[index];
+ dJ233L = dJ233[index];
+ dJ311L = dJ311[index];
+ dJ312L = dJ312[index];
+ dJ313L = dJ313[index];
+ dJ322L = dJ322[index];
+ dJ323L = dJ323[index];
+ dJ333L = dJ333[index];
+ J11L = J11[index];
+ J12L = J12[index];
+ J13L = J13[index];
+ J21L = J21[index];
+ J22L = J22[index];
+ J23L = J23[index];
+ J31L = J31[index];
+ J32L = J32[index];
+ J33L = J33[index];
+ }
+
/* Include user supplied include files */
/* Precompute derivatives */
CCTK_REAL const PDstandardNth1gxx = PDstandardNth1(&gxx[index]);
CCTK_REAL const PDstandardNth2gxx = PDstandardNth2(&gxx[index]);
CCTK_REAL const PDstandardNth3gxx = PDstandardNth3(&gxx[index]);
+ CCTK_REAL const PDstandardNth11gxx = PDstandardNth11(&gxx[index]);
CCTK_REAL const PDstandardNth22gxx = PDstandardNth22(&gxx[index]);
CCTK_REAL const PDstandardNth33gxx = PDstandardNth33(&gxx[index]);
+ CCTK_REAL const PDstandardNth12gxx = PDstandardNth12(&gxx[index]);
+ CCTK_REAL const PDstandardNth13gxx = PDstandardNth13(&gxx[index]);
CCTK_REAL const PDstandardNth23gxx = PDstandardNth23(&gxx[index]);
CCTK_REAL const PDstandardNth1gxy = PDstandardNth1(&gxy[index]);
CCTK_REAL const PDstandardNth2gxy = PDstandardNth2(&gxy[index]);
CCTK_REAL const PDstandardNth3gxy = PDstandardNth3(&gxy[index]);
+ CCTK_REAL const PDstandardNth11gxy = PDstandardNth11(&gxy[index]);
+ CCTK_REAL const PDstandardNth22gxy = PDstandardNth22(&gxy[index]);
CCTK_REAL const PDstandardNth33gxy = PDstandardNth33(&gxy[index]);
CCTK_REAL const PDstandardNth12gxy = PDstandardNth12(&gxy[index]);
CCTK_REAL const PDstandardNth13gxy = PDstandardNth13(&gxy[index]);
@@ -163,7 +246,9 @@ static void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const
CCTK_REAL const PDstandardNth1gxz = PDstandardNth1(&gxz[index]);
CCTK_REAL const PDstandardNth2gxz = PDstandardNth2(&gxz[index]);
CCTK_REAL const PDstandardNth3gxz = PDstandardNth3(&gxz[index]);
+ CCTK_REAL const PDstandardNth11gxz = PDstandardNth11(&gxz[index]);
CCTK_REAL const PDstandardNth22gxz = PDstandardNth22(&gxz[index]);
+ CCTK_REAL const PDstandardNth33gxz = PDstandardNth33(&gxz[index]);
CCTK_REAL const PDstandardNth12gxz = PDstandardNth12(&gxz[index]);
CCTK_REAL const PDstandardNth13gxz = PDstandardNth13(&gxz[index]);
CCTK_REAL const PDstandardNth23gxz = PDstandardNth23(&gxz[index]);
@@ -171,12 +256,17 @@ static void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const
CCTK_REAL const PDstandardNth2gyy = PDstandardNth2(&gyy[index]);
CCTK_REAL const PDstandardNth3gyy = PDstandardNth3(&gyy[index]);
CCTK_REAL const PDstandardNth11gyy = PDstandardNth11(&gyy[index]);
+ CCTK_REAL const PDstandardNth22gyy = PDstandardNth22(&gyy[index]);
CCTK_REAL const PDstandardNth33gyy = PDstandardNth33(&gyy[index]);
+ CCTK_REAL const PDstandardNth12gyy = PDstandardNth12(&gyy[index]);
CCTK_REAL const PDstandardNth13gyy = PDstandardNth13(&gyy[index]);
+ CCTK_REAL const PDstandardNth23gyy = PDstandardNth23(&gyy[index]);
CCTK_REAL const PDstandardNth1gyz = PDstandardNth1(&gyz[index]);
CCTK_REAL const PDstandardNth2gyz = PDstandardNth2(&gyz[index]);
CCTK_REAL const PDstandardNth3gyz = PDstandardNth3(&gyz[index]);
CCTK_REAL const PDstandardNth11gyz = PDstandardNth11(&gyz[index]);
+ CCTK_REAL const PDstandardNth22gyz = PDstandardNth22(&gyz[index]);
+ CCTK_REAL const PDstandardNth33gyz = PDstandardNth33(&gyz[index]);
CCTK_REAL const PDstandardNth12gyz = PDstandardNth12(&gyz[index]);
CCTK_REAL const PDstandardNth13gyz = PDstandardNth13(&gyz[index]);
CCTK_REAL const PDstandardNth23gyz = PDstandardNth23(&gyz[index]);
@@ -185,7 +275,11 @@ static void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const
CCTK_REAL const PDstandardNth3gzz = PDstandardNth3(&gzz[index]);
CCTK_REAL const PDstandardNth11gzz = PDstandardNth11(&gzz[index]);
CCTK_REAL const PDstandardNth22gzz = PDstandardNth22(&gzz[index]);
+ CCTK_REAL const PDstandardNth33gzz = PDstandardNth33(&gzz[index]);
CCTK_REAL const PDstandardNth12gzz = PDstandardNth12(&gzz[index]);
+ CCTK_REAL const PDstandardNth13gzz = PDstandardNth13(&gzz[index]);
+ CCTK_REAL const PDstandardNth23gzz = PDstandardNth23(&gzz[index]);
+ CCTK_REAL const PDstandardNth1kxx = PDstandardNth1(&kxx[index]);
CCTK_REAL const PDstandardNth2kxx = PDstandardNth2(&kxx[index]);
CCTK_REAL const PDstandardNth3kxx = PDstandardNth3(&kxx[index]);
CCTK_REAL const PDstandardNth1kxy = PDstandardNth1(&kxy[index]);
@@ -195,14 +289,697 @@ static void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const
CCTK_REAL const PDstandardNth2kxz = PDstandardNth2(&kxz[index]);
CCTK_REAL const PDstandardNth3kxz = PDstandardNth3(&kxz[index]);
CCTK_REAL const PDstandardNth1kyy = PDstandardNth1(&kyy[index]);
+ CCTK_REAL const PDstandardNth2kyy = PDstandardNth2(&kyy[index]);
CCTK_REAL const PDstandardNth3kyy = PDstandardNth3(&kyy[index]);
CCTK_REAL const PDstandardNth1kyz = PDstandardNth1(&kyz[index]);
CCTK_REAL const PDstandardNth2kyz = PDstandardNth2(&kyz[index]);
CCTK_REAL const PDstandardNth3kyz = PDstandardNth3(&kyz[index]);
CCTK_REAL const PDstandardNth1kzz = PDstandardNth1(&kzz[index]);
CCTK_REAL const PDstandardNth2kzz = PDstandardNth2(&kzz[index]);
+ CCTK_REAL const PDstandardNth3kzz = PDstandardNth3(&kzz[index]);
/* Calculate temporaries and grid functions */
+ CCTK_REAL JacPDstandardNth11gyy;
+ CCTK_REAL JacPDstandardNth11gyz;
+ CCTK_REAL JacPDstandardNth11gzz;
+ CCTK_REAL JacPDstandardNth12gxx;
+ CCTK_REAL JacPDstandardNth12gxy;
+ CCTK_REAL JacPDstandardNth12gxz;
+ CCTK_REAL JacPDstandardNth12gyy;
+ CCTK_REAL JacPDstandardNth12gyz;
+ CCTK_REAL JacPDstandardNth12gzz;
+ CCTK_REAL JacPDstandardNth13gxx;
+ CCTK_REAL JacPDstandardNth13gxy;
+ CCTK_REAL JacPDstandardNth13gxz;
+ CCTK_REAL JacPDstandardNth13gyy;
+ CCTK_REAL JacPDstandardNth13gyz;
+ CCTK_REAL JacPDstandardNth13gzz;
+ CCTK_REAL JacPDstandardNth1gxx;
+ CCTK_REAL JacPDstandardNth1gxy;
+ CCTK_REAL JacPDstandardNth1gxz;
+ CCTK_REAL JacPDstandardNth1gyy;
+ CCTK_REAL JacPDstandardNth1gyz;
+ CCTK_REAL JacPDstandardNth1gzz;
+ CCTK_REAL JacPDstandardNth1kxy;
+ CCTK_REAL JacPDstandardNth1kxz;
+ CCTK_REAL JacPDstandardNth1kyy;
+ CCTK_REAL JacPDstandardNth1kyz;
+ CCTK_REAL JacPDstandardNth1kzz;
+ CCTK_REAL JacPDstandardNth21gxx;
+ CCTK_REAL JacPDstandardNth21gxy;
+ CCTK_REAL JacPDstandardNth21gxz;
+ CCTK_REAL JacPDstandardNth21gyy;
+ CCTK_REAL JacPDstandardNth21gyz;
+ CCTK_REAL JacPDstandardNth21gzz;
+ CCTK_REAL JacPDstandardNth22gxx;
+ CCTK_REAL JacPDstandardNth22gxz;
+ CCTK_REAL JacPDstandardNth22gzz;
+ CCTK_REAL JacPDstandardNth23gxx;
+ CCTK_REAL JacPDstandardNth23gxy;
+ CCTK_REAL JacPDstandardNth23gxz;
+ CCTK_REAL JacPDstandardNth23gyy;
+ CCTK_REAL JacPDstandardNth23gyz;
+ CCTK_REAL JacPDstandardNth23gzz;
+ CCTK_REAL JacPDstandardNth2gxx;
+ CCTK_REAL JacPDstandardNth2gxy;
+ CCTK_REAL JacPDstandardNth2gxz;
+ CCTK_REAL JacPDstandardNth2gyy;
+ CCTK_REAL JacPDstandardNth2gyz;
+ CCTK_REAL JacPDstandardNth2gzz;
+ CCTK_REAL JacPDstandardNth2kxx;
+ CCTK_REAL JacPDstandardNth2kxy;
+ CCTK_REAL JacPDstandardNth2kxz;
+ CCTK_REAL JacPDstandardNth2kyz;
+ CCTK_REAL JacPDstandardNth2kzz;
+ CCTK_REAL JacPDstandardNth31gxx;
+ CCTK_REAL JacPDstandardNth31gxy;
+ CCTK_REAL JacPDstandardNth31gxz;
+ CCTK_REAL JacPDstandardNth31gyy;
+ CCTK_REAL JacPDstandardNth31gyz;
+ CCTK_REAL JacPDstandardNth31gzz;
+ CCTK_REAL JacPDstandardNth32gxx;
+ CCTK_REAL JacPDstandardNth32gxy;
+ CCTK_REAL JacPDstandardNth32gxz;
+ CCTK_REAL JacPDstandardNth32gyy;
+ CCTK_REAL JacPDstandardNth32gyz;
+ CCTK_REAL JacPDstandardNth32gzz;
+ CCTK_REAL JacPDstandardNth33gxx;
+ CCTK_REAL JacPDstandardNth33gxy;
+ CCTK_REAL JacPDstandardNth33gyy;
+ CCTK_REAL JacPDstandardNth3gxx;
+ CCTK_REAL JacPDstandardNth3gxy;
+ CCTK_REAL JacPDstandardNth3gxz;
+ CCTK_REAL JacPDstandardNth3gyy;
+ CCTK_REAL JacPDstandardNth3gyz;
+ CCTK_REAL JacPDstandardNth3gzz;
+ CCTK_REAL JacPDstandardNth3kxx;
+ CCTK_REAL JacPDstandardNth3kxy;
+ CCTK_REAL JacPDstandardNth3kxz;
+ CCTK_REAL JacPDstandardNth3kyy;
+ CCTK_REAL JacPDstandardNth3kyz;
+
+ if (use_jacobian)
+ {
+ JacPDstandardNth1gxx = J11L*PDstandardNth1gxx +
+ J21L*PDstandardNth2gxx + J31L*PDstandardNth3gxx;
+
+ JacPDstandardNth1gxy = J11L*PDstandardNth1gxy +
+ J21L*PDstandardNth2gxy + J31L*PDstandardNth3gxy;
+
+ JacPDstandardNth1gxz = J11L*PDstandardNth1gxz +
+ J21L*PDstandardNth2gxz + J31L*PDstandardNth3gxz;
+
+ JacPDstandardNth1gyy = J11L*PDstandardNth1gyy +
+ J21L*PDstandardNth2gyy + J31L*PDstandardNth3gyy;
+
+ JacPDstandardNth1gyz = J11L*PDstandardNth1gyz +
+ J21L*PDstandardNth2gyz + J31L*PDstandardNth3gyz;
+
+ JacPDstandardNth1gzz = J11L*PDstandardNth1gzz +
+ J21L*PDstandardNth2gzz + J31L*PDstandardNth3gzz;
+
+ JacPDstandardNth1kxy = J11L*PDstandardNth1kxy +
+ J21L*PDstandardNth2kxy + J31L*PDstandardNth3kxy;
+
+ JacPDstandardNth1kxz = J11L*PDstandardNth1kxz +
+ J21L*PDstandardNth2kxz + J31L*PDstandardNth3kxz;
+
+ JacPDstandardNth1kyy = J11L*PDstandardNth1kyy +
+ J21L*PDstandardNth2kyy + J31L*PDstandardNth3kyy;
+
+ JacPDstandardNth1kyz = J11L*PDstandardNth1kyz +
+ J21L*PDstandardNth2kyz + J31L*PDstandardNth3kyz;
+
+ JacPDstandardNth1kzz = J11L*PDstandardNth1kzz +
+ J21L*PDstandardNth2kzz + J31L*PDstandardNth3kzz;
+
+ JacPDstandardNth2gxx = J12L*PDstandardNth1gxx +
+ J22L*PDstandardNth2gxx + J32L*PDstandardNth3gxx;
+
+ JacPDstandardNth2gxy = J12L*PDstandardNth1gxy +
+ J22L*PDstandardNth2gxy + J32L*PDstandardNth3gxy;
+
+ JacPDstandardNth2gxz = J12L*PDstandardNth1gxz +
+ J22L*PDstandardNth2gxz + J32L*PDstandardNth3gxz;
+
+ JacPDstandardNth2gyy = J12L*PDstandardNth1gyy +
+ J22L*PDstandardNth2gyy + J32L*PDstandardNth3gyy;
+
+ JacPDstandardNth2gyz = J12L*PDstandardNth1gyz +
+ J22L*PDstandardNth2gyz + J32L*PDstandardNth3gyz;
+
+ JacPDstandardNth2gzz = J12L*PDstandardNth1gzz +
+ J22L*PDstandardNth2gzz + J32L*PDstandardNth3gzz;
+
+ JacPDstandardNth2kxx = J12L*PDstandardNth1kxx +
+ J22L*PDstandardNth2kxx + J32L*PDstandardNth3kxx;
+
+ JacPDstandardNth2kxy = J12L*PDstandardNth1kxy +
+ J22L*PDstandardNth2kxy + J32L*PDstandardNth3kxy;
+
+ JacPDstandardNth2kxz = J12L*PDstandardNth1kxz +
+ J22L*PDstandardNth2kxz + J32L*PDstandardNth3kxz;
+
+ JacPDstandardNth2kyz = J12L*PDstandardNth1kyz +
+ J22L*PDstandardNth2kyz + J32L*PDstandardNth3kyz;
+
+ JacPDstandardNth2kzz = J12L*PDstandardNth1kzz +
+ J22L*PDstandardNth2kzz + J32L*PDstandardNth3kzz;
+
+ JacPDstandardNth3gxx = J13L*PDstandardNth1gxx +
+ J23L*PDstandardNth2gxx + J33L*PDstandardNth3gxx;
+
+ JacPDstandardNth3gxy = J13L*PDstandardNth1gxy +
+ J23L*PDstandardNth2gxy + J33L*PDstandardNth3gxy;
+
+ JacPDstandardNth3gxz = J13L*PDstandardNth1gxz +
+ J23L*PDstandardNth2gxz + J33L*PDstandardNth3gxz;
+
+ JacPDstandardNth3gyy = J13L*PDstandardNth1gyy +
+ J23L*PDstandardNth2gyy + J33L*PDstandardNth3gyy;
+
+ JacPDstandardNth3gyz = J13L*PDstandardNth1gyz +
+ J23L*PDstandardNth2gyz + J33L*PDstandardNth3gyz;
+
+ JacPDstandardNth3gzz = J13L*PDstandardNth1gzz +
+ J23L*PDstandardNth2gzz + J33L*PDstandardNth3gzz;
+
+ JacPDstandardNth3kxx = J13L*PDstandardNth1kxx +
+ J23L*PDstandardNth2kxx + J33L*PDstandardNth3kxx;
+
+ JacPDstandardNth3kxy = J13L*PDstandardNth1kxy +
+ J23L*PDstandardNth2kxy + J33L*PDstandardNth3kxy;
+
+ JacPDstandardNth3kxz = J13L*PDstandardNth1kxz +
+ J23L*PDstandardNth2kxz + J33L*PDstandardNth3kxz;
+
+ JacPDstandardNth3kyy = J13L*PDstandardNth1kyy +
+ J23L*PDstandardNth2kyy + J33L*PDstandardNth3kyy;
+
+ JacPDstandardNth3kyz = J13L*PDstandardNth1kyz +
+ J23L*PDstandardNth2kyz + J33L*PDstandardNth3kyz;
+
+ JacPDstandardNth11gyy = dJ111L*PDstandardNth1gyy +
+ 2*(J11L*(J21L*PDstandardNth12gyy + J31L*PDstandardNth13gyy) +
+ J21L*J31L*PDstandardNth23gyy) + dJ211L*PDstandardNth2gyy +
+ dJ311L*PDstandardNth3gyy + PDstandardNth11gyy*SQR(J11L) +
+ PDstandardNth22gyy*SQR(J21L) + PDstandardNth33gyy*SQR(J31L);
+
+ JacPDstandardNth11gyz = dJ111L*PDstandardNth1gyz +
+ 2*(J11L*(J21L*PDstandardNth12gyz + J31L*PDstandardNth13gyz) +
+ J21L*J31L*PDstandardNth23gyz) + dJ211L*PDstandardNth2gyz +
+ dJ311L*PDstandardNth3gyz + PDstandardNth11gyz*SQR(J11L) +
+ PDstandardNth22gyz*SQR(J21L) + PDstandardNth33gyz*SQR(J31L);
+
+ JacPDstandardNth11gzz = dJ111L*PDstandardNth1gzz +
+ 2*(J11L*(J21L*PDstandardNth12gzz + J31L*PDstandardNth13gzz) +
+ J21L*J31L*PDstandardNth23gzz) + dJ211L*PDstandardNth2gzz +
+ dJ311L*PDstandardNth3gzz + PDstandardNth11gzz*SQR(J11L) +
+ PDstandardNth22gzz*SQR(J21L) + PDstandardNth33gzz*SQR(J31L);
+
+ JacPDstandardNth22gxx = dJ122L*PDstandardNth1gxx +
+ 2*(J12L*(J22L*PDstandardNth12gxx + J32L*PDstandardNth13gxx) +
+ J22L*J32L*PDstandardNth23gxx) + dJ222L*PDstandardNth2gxx +
+ dJ322L*PDstandardNth3gxx + PDstandardNth11gxx*SQR(J12L) +
+ PDstandardNth22gxx*SQR(J22L) + PDstandardNth33gxx*SQR(J32L);
+
+ JacPDstandardNth22gxz = dJ122L*PDstandardNth1gxz +
+ 2*(J12L*(J22L*PDstandardNth12gxz + J32L*PDstandardNth13gxz) +
+ J22L*J32L*PDstandardNth23gxz) + dJ222L*PDstandardNth2gxz +
+ dJ322L*PDstandardNth3gxz + PDstandardNth11gxz*SQR(J12L) +
+ PDstandardNth22gxz*SQR(J22L) + PDstandardNth33gxz*SQR(J32L);
+
+ JacPDstandardNth22gzz = dJ122L*PDstandardNth1gzz +
+ 2*(J12L*(J22L*PDstandardNth12gzz + J32L*PDstandardNth13gzz) +
+ J22L*J32L*PDstandardNth23gzz) + dJ222L*PDstandardNth2gzz +
+ dJ322L*PDstandardNth3gzz + PDstandardNth11gzz*SQR(J12L) +
+ PDstandardNth22gzz*SQR(J22L) + PDstandardNth33gzz*SQR(J32L);
+
+ JacPDstandardNth33gxx = dJ133L*PDstandardNth1gxx +
+ 2*(J13L*(J23L*PDstandardNth12gxx + J33L*PDstandardNth13gxx) +
+ J23L*J33L*PDstandardNth23gxx) + dJ233L*PDstandardNth2gxx +
+ dJ333L*PDstandardNth3gxx + PDstandardNth11gxx*SQR(J13L) +
+ PDstandardNth22gxx*SQR(J23L) + PDstandardNth33gxx*SQR(J33L);
+
+ JacPDstandardNth33gxy = dJ133L*PDstandardNth1gxy +
+ 2*(J13L*(J23L*PDstandardNth12gxy + J33L*PDstandardNth13gxy) +
+ J23L*J33L*PDstandardNth23gxy) + dJ233L*PDstandardNth2gxy +
+ dJ333L*PDstandardNth3gxy + PDstandardNth11gxy*SQR(J13L) +
+ PDstandardNth22gxy*SQR(J23L) + PDstandardNth33gxy*SQR(J33L);
+
+ JacPDstandardNth33gyy = dJ133L*PDstandardNth1gyy +
+ 2*(J13L*(J23L*PDstandardNth12gyy + J33L*PDstandardNth13gyy) +
+ J23L*J33L*PDstandardNth23gyy) + dJ233L*PDstandardNth2gyy +
+ dJ333L*PDstandardNth3gyy + PDstandardNth11gyy*SQR(J13L) +
+ PDstandardNth22gyy*SQR(J23L) + PDstandardNth33gyy*SQR(J33L);
+
+ JacPDstandardNth12gxx = J12L*(J11L*PDstandardNth11gxx +
+ J21L*PDstandardNth12gxx + J31L*PDstandardNth13gxx) +
+ J11L*(J22L*PDstandardNth12gxx + J32L*PDstandardNth13gxx) +
+ dJ112L*PDstandardNth1gxx + J22L*(J21L*PDstandardNth22gxx +
+ J31L*PDstandardNth23gxx) + dJ212L*PDstandardNth2gxx +
+ J32L*(J21L*PDstandardNth23gxx + J31L*PDstandardNth33gxx) +
+ dJ312L*PDstandardNth3gxx;
+
+ JacPDstandardNth12gxy = J12L*(J11L*PDstandardNth11gxy +
+ J21L*PDstandardNth12gxy + J31L*PDstandardNth13gxy) +
+ J11L*(J22L*PDstandardNth12gxy + J32L*PDstandardNth13gxy) +
+ dJ112L*PDstandardNth1gxy + J22L*(J21L*PDstandardNth22gxy +
+ J31L*PDstandardNth23gxy) + dJ212L*PDstandardNth2gxy +
+ J32L*(J21L*PDstandardNth23gxy + J31L*PDstandardNth33gxy) +
+ dJ312L*PDstandardNth3gxy;
+
+ JacPDstandardNth12gxz = J12L*(J11L*PDstandardNth11gxz +
+ J21L*PDstandardNth12gxz + J31L*PDstandardNth13gxz) +
+ J11L*(J22L*PDstandardNth12gxz + J32L*PDstandardNth13gxz) +
+ dJ112L*PDstandardNth1gxz + J22L*(J21L*PDstandardNth22gxz +
+ J31L*PDstandardNth23gxz) + dJ212L*PDstandardNth2gxz +
+ J32L*(J21L*PDstandardNth23gxz + J31L*PDstandardNth33gxz) +
+ dJ312L*PDstandardNth3gxz;
+
+ JacPDstandardNth12gyy = J12L*(J11L*PDstandardNth11gyy +
+ J21L*PDstandardNth12gyy + J31L*PDstandardNth13gyy) +
+ J11L*(J22L*PDstandardNth12gyy + J32L*PDstandardNth13gyy) +
+ dJ112L*PDstandardNth1gyy + J22L*(J21L*PDstandardNth22gyy +
+ J31L*PDstandardNth23gyy) + dJ212L*PDstandardNth2gyy +
+ J32L*(J21L*PDstandardNth23gyy + J31L*PDstandardNth33gyy) +
+ dJ312L*PDstandardNth3gyy;
+
+ JacPDstandardNth12gyz = J12L*(J11L*PDstandardNth11gyz +
+ J21L*PDstandardNth12gyz + J31L*PDstandardNth13gyz) +
+ J11L*(J22L*PDstandardNth12gyz + J32L*PDstandardNth13gyz) +
+ dJ112L*PDstandardNth1gyz + J22L*(J21L*PDstandardNth22gyz +
+ J31L*PDstandardNth23gyz) + dJ212L*PDstandardNth2gyz +
+ J32L*(J21L*PDstandardNth23gyz + J31L*PDstandardNth33gyz) +
+ dJ312L*PDstandardNth3gyz;
+
+ JacPDstandardNth12gzz = J12L*(J11L*PDstandardNth11gzz +
+ J21L*PDstandardNth12gzz + J31L*PDstandardNth13gzz) +
+ J11L*(J22L*PDstandardNth12gzz + J32L*PDstandardNth13gzz) +
+ dJ112L*PDstandardNth1gzz + J22L*(J21L*PDstandardNth22gzz +
+ J31L*PDstandardNth23gzz) + dJ212L*PDstandardNth2gzz +
+ J32L*(J21L*PDstandardNth23gzz + J31L*PDstandardNth33gzz) +
+ dJ312L*PDstandardNth3gzz;
+
+ JacPDstandardNth13gxx = J13L*(J11L*PDstandardNth11gxx +
+ J21L*PDstandardNth12gxx + J31L*PDstandardNth13gxx) +
+ J11L*(J23L*PDstandardNth12gxx + J33L*PDstandardNth13gxx) +
+ dJ113L*PDstandardNth1gxx + J23L*(J21L*PDstandardNth22gxx +
+ J31L*PDstandardNth23gxx) + dJ213L*PDstandardNth2gxx +
+ J33L*(J21L*PDstandardNth23gxx + J31L*PDstandardNth33gxx) +
+ dJ313L*PDstandardNth3gxx;
+
+ JacPDstandardNth13gxy = J13L*(J11L*PDstandardNth11gxy +
+ J21L*PDstandardNth12gxy + J31L*PDstandardNth13gxy) +
+ J11L*(J23L*PDstandardNth12gxy + J33L*PDstandardNth13gxy) +
+ dJ113L*PDstandardNth1gxy + J23L*(J21L*PDstandardNth22gxy +
+ J31L*PDstandardNth23gxy) + dJ213L*PDstandardNth2gxy +
+ J33L*(J21L*PDstandardNth23gxy + J31L*PDstandardNth33gxy) +
+ dJ313L*PDstandardNth3gxy;
+
+ JacPDstandardNth13gxz = J13L*(J11L*PDstandardNth11gxz +
+ J21L*PDstandardNth12gxz + J31L*PDstandardNth13gxz) +
+ J11L*(J23L*PDstandardNth12gxz + J33L*PDstandardNth13gxz) +
+ dJ113L*PDstandardNth1gxz + J23L*(J21L*PDstandardNth22gxz +
+ J31L*PDstandardNth23gxz) + dJ213L*PDstandardNth2gxz +
+ J33L*(J21L*PDstandardNth23gxz + J31L*PDstandardNth33gxz) +
+ dJ313L*PDstandardNth3gxz;
+
+ JacPDstandardNth13gyy = J13L*(J11L*PDstandardNth11gyy +
+ J21L*PDstandardNth12gyy + J31L*PDstandardNth13gyy) +
+ J11L*(J23L*PDstandardNth12gyy + J33L*PDstandardNth13gyy) +
+ dJ113L*PDstandardNth1gyy + J23L*(J21L*PDstandardNth22gyy +
+ J31L*PDstandardNth23gyy) + dJ213L*PDstandardNth2gyy +
+ J33L*(J21L*PDstandardNth23gyy + J31L*PDstandardNth33gyy) +
+ dJ313L*PDstandardNth3gyy;
+
+ JacPDstandardNth13gyz = J13L*(J11L*PDstandardNth11gyz +
+ J21L*PDstandardNth12gyz + J31L*PDstandardNth13gyz) +
+ J11L*(J23L*PDstandardNth12gyz + J33L*PDstandardNth13gyz) +
+ dJ113L*PDstandardNth1gyz + J23L*(J21L*PDstandardNth22gyz +
+ J31L*PDstandardNth23gyz) + dJ213L*PDstandardNth2gyz +
+ J33L*(J21L*PDstandardNth23gyz + J31L*PDstandardNth33gyz) +
+ dJ313L*PDstandardNth3gyz;
+
+ JacPDstandardNth13gzz = J13L*(J11L*PDstandardNth11gzz +
+ J21L*PDstandardNth12gzz + J31L*PDstandardNth13gzz) +
+ J11L*(J23L*PDstandardNth12gzz + J33L*PDstandardNth13gzz) +
+ dJ113L*PDstandardNth1gzz + J23L*(J21L*PDstandardNth22gzz +
+ J31L*PDstandardNth23gzz) + dJ213L*PDstandardNth2gzz +
+ J33L*(J21L*PDstandardNth23gzz + J31L*PDstandardNth33gzz) +
+ dJ313L*PDstandardNth3gzz;
+
+ JacPDstandardNth21gxx = J12L*(J11L*PDstandardNth11gxx +
+ J21L*PDstandardNth12gxx + J31L*PDstandardNth13gxx) +
+ J11L*(J22L*PDstandardNth12gxx + J32L*PDstandardNth13gxx) +
+ dJ112L*PDstandardNth1gxx + J22L*(J21L*PDstandardNth22gxx +
+ J31L*PDstandardNth23gxx) + dJ212L*PDstandardNth2gxx +
+ J32L*(J21L*PDstandardNth23gxx + J31L*PDstandardNth33gxx) +
+ dJ312L*PDstandardNth3gxx;
+
+ JacPDstandardNth21gxy = J12L*(J11L*PDstandardNth11gxy +
+ J21L*PDstandardNth12gxy + J31L*PDstandardNth13gxy) +
+ J11L*(J22L*PDstandardNth12gxy + J32L*PDstandardNth13gxy) +
+ dJ112L*PDstandardNth1gxy + J22L*(J21L*PDstandardNth22gxy +
+ J31L*PDstandardNth23gxy) + dJ212L*PDstandardNth2gxy +
+ J32L*(J21L*PDstandardNth23gxy + J31L*PDstandardNth33gxy) +
+ dJ312L*PDstandardNth3gxy;
+
+ JacPDstandardNth21gxz = J12L*(J11L*PDstandardNth11gxz +
+ J21L*PDstandardNth12gxz + J31L*PDstandardNth13gxz) +
+ J11L*(J22L*PDstandardNth12gxz + J32L*PDstandardNth13gxz) +
+ dJ112L*PDstandardNth1gxz + J22L*(J21L*PDstandardNth22gxz +
+ J31L*PDstandardNth23gxz) + dJ212L*PDstandardNth2gxz +
+ J32L*(J21L*PDstandardNth23gxz + J31L*PDstandardNth33gxz) +
+ dJ312L*PDstandardNth3gxz;
+
+ JacPDstandardNth21gyy = J12L*(J11L*PDstandardNth11gyy +
+ J21L*PDstandardNth12gyy + J31L*PDstandardNth13gyy) +
+ J11L*(J22L*PDstandardNth12gyy + J32L*PDstandardNth13gyy) +
+ dJ112L*PDstandardNth1gyy + J22L*(J21L*PDstandardNth22gyy +
+ J31L*PDstandardNth23gyy) + dJ212L*PDstandardNth2gyy +
+ J32L*(J21L*PDstandardNth23gyy + J31L*PDstandardNth33gyy) +
+ dJ312L*PDstandardNth3gyy;
+
+ JacPDstandardNth21gyz = J12L*(J11L*PDstandardNth11gyz +
+ J21L*PDstandardNth12gyz + J31L*PDstandardNth13gyz) +
+ J11L*(J22L*PDstandardNth12gyz + J32L*PDstandardNth13gyz) +
+ dJ112L*PDstandardNth1gyz + J22L*(J21L*PDstandardNth22gyz +
+ J31L*PDstandardNth23gyz) + dJ212L*PDstandardNth2gyz +
+ J32L*(J21L*PDstandardNth23gyz + J31L*PDstandardNth33gyz) +
+ dJ312L*PDstandardNth3gyz;
+
+ JacPDstandardNth21gzz = J12L*(J11L*PDstandardNth11gzz +
+ J21L*PDstandardNth12gzz + J31L*PDstandardNth13gzz) +
+ J11L*(J22L*PDstandardNth12gzz + J32L*PDstandardNth13gzz) +
+ dJ112L*PDstandardNth1gzz + J22L*(J21L*PDstandardNth22gzz +
+ J31L*PDstandardNth23gzz) + dJ212L*PDstandardNth2gzz +
+ J32L*(J21L*PDstandardNth23gzz + J31L*PDstandardNth33gzz) +
+ dJ312L*PDstandardNth3gzz;
+
+ JacPDstandardNth23gxx = J13L*(J12L*PDstandardNth11gxx +
+ J22L*PDstandardNth12gxx + J32L*PDstandardNth13gxx) +
+ J12L*(J23L*PDstandardNth12gxx + J33L*PDstandardNth13gxx) +
+ dJ123L*PDstandardNth1gxx + J23L*(J22L*PDstandardNth22gxx +
+ J32L*PDstandardNth23gxx) + dJ223L*PDstandardNth2gxx +
+ J33L*(J22L*PDstandardNth23gxx + J32L*PDstandardNth33gxx) +
+ dJ323L*PDstandardNth3gxx;
+
+ JacPDstandardNth23gxy = J13L*(J12L*PDstandardNth11gxy +
+ J22L*PDstandardNth12gxy + J32L*PDstandardNth13gxy) +
+ J12L*(J23L*PDstandardNth12gxy + J33L*PDstandardNth13gxy) +
+ dJ123L*PDstandardNth1gxy + J23L*(J22L*PDstandardNth22gxy +
+ J32L*PDstandardNth23gxy) + dJ223L*PDstandardNth2gxy +
+ J33L*(J22L*PDstandardNth23gxy + J32L*PDstandardNth33gxy) +
+ dJ323L*PDstandardNth3gxy;
+
+ JacPDstandardNth23gxz = J13L*(J12L*PDstandardNth11gxz +
+ J22L*PDstandardNth12gxz + J32L*PDstandardNth13gxz) +
+ J12L*(J23L*PDstandardNth12gxz + J33L*PDstandardNth13gxz) +
+ dJ123L*PDstandardNth1gxz + J23L*(J22L*PDstandardNth22gxz +
+ J32L*PDstandardNth23gxz) + dJ223L*PDstandardNth2gxz +
+ J33L*(J22L*PDstandardNth23gxz + J32L*PDstandardNth33gxz) +
+ dJ323L*PDstandardNth3gxz;
+
+ JacPDstandardNth23gyy = J13L*(J12L*PDstandardNth11gyy +
+ J22L*PDstandardNth12gyy + J32L*PDstandardNth13gyy) +
+ J12L*(J23L*PDstandardNth12gyy + J33L*PDstandardNth13gyy) +
+ dJ123L*PDstandardNth1gyy + J23L*(J22L*PDstandardNth22gyy +
+ J32L*PDstandardNth23gyy) + dJ223L*PDstandardNth2gyy +
+ J33L*(J22L*PDstandardNth23gyy + J32L*PDstandardNth33gyy) +
+ dJ323L*PDstandardNth3gyy;
+
+ JacPDstandardNth23gyz = J13L*(J12L*PDstandardNth11gyz +
+ J22L*PDstandardNth12gyz + J32L*PDstandardNth13gyz) +
+ J12L*(J23L*PDstandardNth12gyz + J33L*PDstandardNth13gyz) +
+ dJ123L*PDstandardNth1gyz + J23L*(J22L*PDstandardNth22gyz +
+ J32L*PDstandardNth23gyz) + dJ223L*PDstandardNth2gyz +
+ J33L*(J22L*PDstandardNth23gyz + J32L*PDstandardNth33gyz) +
+ dJ323L*PDstandardNth3gyz;
+
+ JacPDstandardNth23gzz = J13L*(J12L*PDstandardNth11gzz +
+ J22L*PDstandardNth12gzz + J32L*PDstandardNth13gzz) +
+ J12L*(J23L*PDstandardNth12gzz + J33L*PDstandardNth13gzz) +
+ dJ123L*PDstandardNth1gzz + J23L*(J22L*PDstandardNth22gzz +
+ J32L*PDstandardNth23gzz) + dJ223L*PDstandardNth2gzz +
+ J33L*(J22L*PDstandardNth23gzz + J32L*PDstandardNth33gzz) +
+ dJ323L*PDstandardNth3gzz;
+
+ JacPDstandardNth31gxx = J13L*(J11L*PDstandardNth11gxx +
+ J21L*PDstandardNth12gxx + J31L*PDstandardNth13gxx) +
+ J11L*(J23L*PDstandardNth12gxx + J33L*PDstandardNth13gxx) +
+ dJ113L*PDstandardNth1gxx + J23L*(J21L*PDstandardNth22gxx +
+ J31L*PDstandardNth23gxx) + dJ213L*PDstandardNth2gxx +
+ J33L*(J21L*PDstandardNth23gxx + J31L*PDstandardNth33gxx) +
+ dJ313L*PDstandardNth3gxx;
+
+ JacPDstandardNth31gxy = J13L*(J11L*PDstandardNth11gxy +
+ J21L*PDstandardNth12gxy + J31L*PDstandardNth13gxy) +
+ J11L*(J23L*PDstandardNth12gxy + J33L*PDstandardNth13gxy) +
+ dJ113L*PDstandardNth1gxy + J23L*(J21L*PDstandardNth22gxy +
+ J31L*PDstandardNth23gxy) + dJ213L*PDstandardNth2gxy +
+ J33L*(J21L*PDstandardNth23gxy + J31L*PDstandardNth33gxy) +
+ dJ313L*PDstandardNth3gxy;
+
+ JacPDstandardNth31gxz = J13L*(J11L*PDstandardNth11gxz +
+ J21L*PDstandardNth12gxz + J31L*PDstandardNth13gxz) +
+ J11L*(J23L*PDstandardNth12gxz + J33L*PDstandardNth13gxz) +
+ dJ113L*PDstandardNth1gxz + J23L*(J21L*PDstandardNth22gxz +
+ J31L*PDstandardNth23gxz) + dJ213L*PDstandardNth2gxz +
+ J33L*(J21L*PDstandardNth23gxz + J31L*PDstandardNth33gxz) +
+ dJ313L*PDstandardNth3gxz;
+
+ JacPDstandardNth31gyy = J13L*(J11L*PDstandardNth11gyy +
+ J21L*PDstandardNth12gyy + J31L*PDstandardNth13gyy) +
+ J11L*(J23L*PDstandardNth12gyy + J33L*PDstandardNth13gyy) +
+ dJ113L*PDstandardNth1gyy + J23L*(J21L*PDstandardNth22gyy +
+ J31L*PDstandardNth23gyy) + dJ213L*PDstandardNth2gyy +
+ J33L*(J21L*PDstandardNth23gyy + J31L*PDstandardNth33gyy) +
+ dJ313L*PDstandardNth3gyy;
+
+ JacPDstandardNth31gyz = J13L*(J11L*PDstandardNth11gyz +
+ J21L*PDstandardNth12gyz + J31L*PDstandardNth13gyz) +
+ J11L*(J23L*PDstandardNth12gyz + J33L*PDstandardNth13gyz) +
+ dJ113L*PDstandardNth1gyz + J23L*(J21L*PDstandardNth22gyz +
+ J31L*PDstandardNth23gyz) + dJ213L*PDstandardNth2gyz +
+ J33L*(J21L*PDstandardNth23gyz + J31L*PDstandardNth33gyz) +
+ dJ313L*PDstandardNth3gyz;
+
+ JacPDstandardNth31gzz = J13L*(J11L*PDstandardNth11gzz +
+ J21L*PDstandardNth12gzz + J31L*PDstandardNth13gzz) +
+ J11L*(J23L*PDstandardNth12gzz + J33L*PDstandardNth13gzz) +
+ dJ113L*PDstandardNth1gzz + J23L*(J21L*PDstandardNth22gzz +
+ J31L*PDstandardNth23gzz) + dJ213L*PDstandardNth2gzz +
+ J33L*(J21L*PDstandardNth23gzz + J31L*PDstandardNth33gzz) +
+ dJ313L*PDstandardNth3gzz;
+
+ JacPDstandardNth32gxx = J13L*(J12L*PDstandardNth11gxx +
+ J22L*PDstandardNth12gxx + J32L*PDstandardNth13gxx) +
+ J12L*(J23L*PDstandardNth12gxx + J33L*PDstandardNth13gxx) +
+ dJ123L*PDstandardNth1gxx + J23L*(J22L*PDstandardNth22gxx +
+ J32L*PDstandardNth23gxx) + dJ223L*PDstandardNth2gxx +
+ J33L*(J22L*PDstandardNth23gxx + J32L*PDstandardNth33gxx) +
+ dJ323L*PDstandardNth3gxx;
+
+ JacPDstandardNth32gxy = J13L*(J12L*PDstandardNth11gxy +
+ J22L*PDstandardNth12gxy + J32L*PDstandardNth13gxy) +
+ J12L*(J23L*PDstandardNth12gxy + J33L*PDstandardNth13gxy) +
+ dJ123L*PDstandardNth1gxy + J23L*(J22L*PDstandardNth22gxy +
+ J32L*PDstandardNth23gxy) + dJ223L*PDstandardNth2gxy +
+ J33L*(J22L*PDstandardNth23gxy + J32L*PDstandardNth33gxy) +
+ dJ323L*PDstandardNth3gxy;
+
+ JacPDstandardNth32gxz = J13L*(J12L*PDstandardNth11gxz +
+ J22L*PDstandardNth12gxz + J32L*PDstandardNth13gxz) +
+ J12L*(J23L*PDstandardNth12gxz + J33L*PDstandardNth13gxz) +
+ dJ123L*PDstandardNth1gxz + J23L*(J22L*PDstandardNth22gxz +
+ J32L*PDstandardNth23gxz) + dJ223L*PDstandardNth2gxz +
+ J33L*(J22L*PDstandardNth23gxz + J32L*PDstandardNth33gxz) +
+ dJ323L*PDstandardNth3gxz;
+
+ JacPDstandardNth32gyy = J13L*(J12L*PDstandardNth11gyy +
+ J22L*PDstandardNth12gyy + J32L*PDstandardNth13gyy) +
+ J12L*(J23L*PDstandardNth12gyy + J33L*PDstandardNth13gyy) +
+ dJ123L*PDstandardNth1gyy + J23L*(J22L*PDstandardNth22gyy +
+ J32L*PDstandardNth23gyy) + dJ223L*PDstandardNth2gyy +
+ J33L*(J22L*PDstandardNth23gyy + J32L*PDstandardNth33gyy) +
+ dJ323L*PDstandardNth3gyy;
+
+ JacPDstandardNth32gyz = J13L*(J12L*PDstandardNth11gyz +
+ J22L*PDstandardNth12gyz + J32L*PDstandardNth13gyz) +
+ J12L*(J23L*PDstandardNth12gyz + J33L*PDstandardNth13gyz) +
+ dJ123L*PDstandardNth1gyz + J23L*(J22L*PDstandardNth22gyz +
+ J32L*PDstandardNth23gyz) + dJ223L*PDstandardNth2gyz +
+ J33L*(J22L*PDstandardNth23gyz + J32L*PDstandardNth33gyz) +
+ dJ323L*PDstandardNth3gyz;
+
+ JacPDstandardNth32gzz = J13L*(J12L*PDstandardNth11gzz +
+ J22L*PDstandardNth12gzz + J32L*PDstandardNth13gzz) +
+ J12L*(J23L*PDstandardNth12gzz + J33L*PDstandardNth13gzz) +
+ dJ123L*PDstandardNth1gzz + J23L*(J22L*PDstandardNth22gzz +
+ J32L*PDstandardNth23gzz) + dJ223L*PDstandardNth2gzz +
+ J33L*(J22L*PDstandardNth23gzz + J32L*PDstandardNth33gzz) +
+ dJ323L*PDstandardNth3gzz;
+ }
+ else
+ {
+ JacPDstandardNth1gxx = PDstandardNth1gxx;
+
+ JacPDstandardNth1gxy = PDstandardNth1gxy;
+
+ JacPDstandardNth1gxz = PDstandardNth1gxz;
+
+ JacPDstandardNth1gyy = PDstandardNth1gyy;
+
+ JacPDstandardNth1gyz = PDstandardNth1gyz;
+
+ JacPDstandardNth1gzz = PDstandardNth1gzz;
+
+ JacPDstandardNth1kxy = PDstandardNth1kxy;
+
+ JacPDstandardNth1kxz = PDstandardNth1kxz;
+
+ JacPDstandardNth1kyy = PDstandardNth1kyy;
+
+ JacPDstandardNth1kyz = PDstandardNth1kyz;
+
+ JacPDstandardNth1kzz = PDstandardNth1kzz;
+
+ JacPDstandardNth2gxx = PDstandardNth2gxx;
+
+ JacPDstandardNth2gxy = PDstandardNth2gxy;
+
+ JacPDstandardNth2gxz = PDstandardNth2gxz;
+
+ JacPDstandardNth2gyy = PDstandardNth2gyy;
+
+ JacPDstandardNth2gyz = PDstandardNth2gyz;
+
+ JacPDstandardNth2gzz = PDstandardNth2gzz;
+
+ JacPDstandardNth2kxx = PDstandardNth2kxx;
+
+ JacPDstandardNth2kxy = PDstandardNth2kxy;
+
+ JacPDstandardNth2kxz = PDstandardNth2kxz;
+
+ JacPDstandardNth2kyz = PDstandardNth2kyz;
+
+ JacPDstandardNth2kzz = PDstandardNth2kzz;
+
+ JacPDstandardNth3gxx = PDstandardNth3gxx;
+
+ JacPDstandardNth3gxy = PDstandardNth3gxy;
+
+ JacPDstandardNth3gxz = PDstandardNth3gxz;
+
+ JacPDstandardNth3gyy = PDstandardNth3gyy;
+
+ JacPDstandardNth3gyz = PDstandardNth3gyz;
+
+ JacPDstandardNth3gzz = PDstandardNth3gzz;
+
+ JacPDstandardNth3kxx = PDstandardNth3kxx;
+
+ JacPDstandardNth3kxy = PDstandardNth3kxy;
+
+ JacPDstandardNth3kxz = PDstandardNth3kxz;
+
+ JacPDstandardNth3kyy = PDstandardNth3kyy;
+
+ JacPDstandardNth3kyz = PDstandardNth3kyz;
+
+ JacPDstandardNth11gyy = PDstandardNth11gyy;
+
+ JacPDstandardNth11gyz = PDstandardNth11gyz;
+
+ JacPDstandardNth11gzz = PDstandardNth11gzz;
+
+ JacPDstandardNth22gxx = PDstandardNth22gxx;
+
+ JacPDstandardNth22gxz = PDstandardNth22gxz;
+
+ JacPDstandardNth22gzz = PDstandardNth22gzz;
+
+ JacPDstandardNth33gxx = PDstandardNth33gxx;
+
+ JacPDstandardNth33gxy = PDstandardNth33gxy;
+
+ JacPDstandardNth33gyy = PDstandardNth33gyy;
+
+ JacPDstandardNth12gxx = PDstandardNth12gxx;
+
+ JacPDstandardNth12gxy = PDstandardNth12gxy;
+
+ JacPDstandardNth12gxz = PDstandardNth12gxz;
+
+ JacPDstandardNth12gyy = PDstandardNth12gyy;
+
+ JacPDstandardNth12gyz = PDstandardNth12gyz;
+
+ JacPDstandardNth12gzz = PDstandardNth12gzz;
+
+ JacPDstandardNth13gxx = PDstandardNth13gxx;
+
+ JacPDstandardNth13gxy = PDstandardNth13gxy;
+
+ JacPDstandardNth13gxz = PDstandardNth13gxz;
+
+ JacPDstandardNth13gyy = PDstandardNth13gyy;
+
+ JacPDstandardNth13gyz = PDstandardNth13gyz;
+
+ JacPDstandardNth13gzz = PDstandardNth13gzz;
+
+ JacPDstandardNth21gxx = PDstandardNth12gxx;
+
+ JacPDstandardNth21gxy = PDstandardNth12gxy;
+
+ JacPDstandardNth21gxz = PDstandardNth12gxz;
+
+ JacPDstandardNth21gyy = PDstandardNth12gyy;
+
+ JacPDstandardNth21gyz = PDstandardNth12gyz;
+
+ JacPDstandardNth21gzz = PDstandardNth12gzz;
+
+ JacPDstandardNth23gxx = PDstandardNth23gxx;
+
+ JacPDstandardNth23gxy = PDstandardNth23gxy;
+
+ JacPDstandardNth23gxz = PDstandardNth23gxz;
+
+ JacPDstandardNth23gyy = PDstandardNth23gyy;
+
+ JacPDstandardNth23gyz = PDstandardNth23gyz;
+
+ JacPDstandardNth23gzz = PDstandardNth23gzz;
+
+ JacPDstandardNth31gxx = PDstandardNth13gxx;
+
+ JacPDstandardNth31gxy = PDstandardNth13gxy;
+
+ JacPDstandardNth31gxz = PDstandardNth13gxz;
+
+ JacPDstandardNth31gyy = PDstandardNth13gyy;
+
+ JacPDstandardNth31gyz = PDstandardNth13gyz;
+
+ JacPDstandardNth31gzz = PDstandardNth13gzz;
+
+ JacPDstandardNth32gxx = PDstandardNth23gxx;
+
+ JacPDstandardNth32gxy = PDstandardNth23gxy;
+
+ JacPDstandardNth32gxz = PDstandardNth23gxz;
+
+ JacPDstandardNth32gyy = PDstandardNth23gyy;
+
+ JacPDstandardNth32gyz = PDstandardNth23gyz;
+
+ JacPDstandardNth32gzz = PDstandardNth23gzz;
+ }
+
CCTK_REAL detg = 2*gxyL*gxzL*gyzL + gzzL*(gxxL*gyyL -
SQR(gxyL)) - gyyL*SQR(gxzL) - gxxL*SQR(gyzL);
@@ -218,105 +995,118 @@ static void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const
CCTK_REAL gu33 = INV(detg)*(gxxL*gyyL - SQR(gxyL));
- CCTK_REAL G111 = 0.5*(gu11*PDstandardNth1gxx +
- 2*(gu21*PDstandardNth1gxy + gu31*PDstandardNth1gxz) -
- gu21*PDstandardNth2gxx - gu31*PDstandardNth3gxx);
+ CCTK_REAL G111 = 0.5*(gu11*JacPDstandardNth1gxx +
+ 2*(gu21*JacPDstandardNth1gxy + gu31*JacPDstandardNth1gxz) -
+ gu21*JacPDstandardNth2gxx - gu31*JacPDstandardNth3gxx);
- CCTK_REAL G211 = 0.5*(gu21*PDstandardNth1gxx +
- 2*(gu22*PDstandardNth1gxy + gu32*PDstandardNth1gxz) -
- gu22*PDstandardNth2gxx - gu32*PDstandardNth3gxx);
+ CCTK_REAL G211 = 0.5*(gu21*JacPDstandardNth1gxx +
+ 2*(gu22*JacPDstandardNth1gxy + gu32*JacPDstandardNth1gxz) -
+ gu22*JacPDstandardNth2gxx - gu32*JacPDstandardNth3gxx);
- CCTK_REAL G311 = 0.5*(gu31*PDstandardNth1gxx +
- 2*(gu32*PDstandardNth1gxy + gu33*PDstandardNth1gxz) -
- gu32*PDstandardNth2gxx - gu33*PDstandardNth3gxx);
+ CCTK_REAL G311 = 0.5*(gu31*JacPDstandardNth1gxx +
+ 2*(gu32*JacPDstandardNth1gxy + gu33*JacPDstandardNth1gxz) -
+ gu32*JacPDstandardNth2gxx - gu33*JacPDstandardNth3gxx);
- CCTK_REAL G112 = 0.5*(gu21*PDstandardNth1gyy + gu11*PDstandardNth2gxx
- + gu31*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy));
+ CCTK_REAL G112 = 0.5*(gu21*JacPDstandardNth1gyy +
+ gu11*JacPDstandardNth2gxx + gu31*(JacPDstandardNth1gyz +
+ JacPDstandardNth2gxz - JacPDstandardNth3gxy));
- CCTK_REAL G212 = 0.5*(gu22*PDstandardNth1gyy + gu21*PDstandardNth2gxx
- + gu32*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy));
+ CCTK_REAL G212 = 0.5*(gu22*JacPDstandardNth1gyy +
+ gu21*JacPDstandardNth2gxx + gu32*(JacPDstandardNth1gyz +
+ JacPDstandardNth2gxz - JacPDstandardNth3gxy));
- CCTK_REAL G312 = 0.5*(gu32*PDstandardNth1gyy + gu31*PDstandardNth2gxx
- + gu33*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy));
+ CCTK_REAL G312 = 0.5*(gu32*JacPDstandardNth1gyy +
+ gu31*JacPDstandardNth2gxx + gu33*(JacPDstandardNth1gyz +
+ JacPDstandardNth2gxz - JacPDstandardNth3gxy));
- CCTK_REAL G113 = 0.5*(gu31*PDstandardNth1gzz + gu11*PDstandardNth3gxx
- + gu21*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy));
+ CCTK_REAL G113 = 0.5*(gu31*JacPDstandardNth1gzz +
+ gu11*JacPDstandardNth3gxx + gu21*(JacPDstandardNth1gyz -
+ JacPDstandardNth2gxz + JacPDstandardNth3gxy));
- CCTK_REAL G213 = 0.5*(gu32*PDstandardNth1gzz + gu21*PDstandardNth3gxx
- + gu22*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy));
+ CCTK_REAL G213 = 0.5*(gu32*JacPDstandardNth1gzz +
+ gu21*JacPDstandardNth3gxx + gu22*(JacPDstandardNth1gyz -
+ JacPDstandardNth2gxz + JacPDstandardNth3gxy));
- CCTK_REAL G313 = 0.5*(gu33*PDstandardNth1gzz + gu31*PDstandardNth3gxx
- + gu32*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy));
+ CCTK_REAL G313 = 0.5*(gu33*JacPDstandardNth1gzz +
+ gu31*JacPDstandardNth3gxx + gu32*(JacPDstandardNth1gyz -
+ JacPDstandardNth2gxz + JacPDstandardNth3gxy));
- CCTK_REAL G122 = 0.5*(gu11*(-PDstandardNth1gyy + 2*PDstandardNth2gxy)
- + gu21*PDstandardNth2gyy + gu31*(2*PDstandardNth2gyz -
- PDstandardNth3gyy));
+ CCTK_REAL G122 = 0.5*(gu11*(-JacPDstandardNth1gyy +
+ 2*JacPDstandardNth2gxy) + gu21*JacPDstandardNth2gyy +
+ gu31*(2*JacPDstandardNth2gyz - JacPDstandardNth3gyy));
- CCTK_REAL G222 = 0.5*(gu21*(-PDstandardNth1gyy + 2*PDstandardNth2gxy)
- + gu22*PDstandardNth2gyy + gu32*(2*PDstandardNth2gyz -
- PDstandardNth3gyy));
+ CCTK_REAL G222 = 0.5*(gu21*(-JacPDstandardNth1gyy +
+ 2*JacPDstandardNth2gxy) + gu22*JacPDstandardNth2gyy +
+ gu32*(2*JacPDstandardNth2gyz - JacPDstandardNth3gyy));
- CCTK_REAL G322 = 0.5*(gu31*(-PDstandardNth1gyy + 2*PDstandardNth2gxy)
- + gu32*PDstandardNth2gyy + gu33*(2*PDstandardNth2gyz -
- PDstandardNth3gyy));
+ CCTK_REAL G322 = 0.5*(gu31*(-JacPDstandardNth1gyy +
+ 2*JacPDstandardNth2gxy) + gu32*JacPDstandardNth2gyy +
+ gu33*(2*JacPDstandardNth2gyz - JacPDstandardNth3gyy));
- CCTK_REAL G123 = 0.5*(gu31*PDstandardNth2gzz +
- gu11*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) +
- gu21*PDstandardNth3gyy);
+ CCTK_REAL G123 = 0.5*(gu31*JacPDstandardNth2gzz +
+ gu11*(-JacPDstandardNth1gyz + JacPDstandardNth2gxz +
+ JacPDstandardNth3gxy) + gu21*JacPDstandardNth3gyy);
- CCTK_REAL G223 = 0.5*(gu32*PDstandardNth2gzz +
- gu21*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) +
- gu22*PDstandardNth3gyy);
+ CCTK_REAL G223 = 0.5*(gu32*JacPDstandardNth2gzz +
+ gu21*(-JacPDstandardNth1gyz + JacPDstandardNth2gxz +
+ JacPDstandardNth3gxy) + gu22*JacPDstandardNth3gyy);
- CCTK_REAL G323 = 0.5*(gu33*PDstandardNth2gzz +
- gu31*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) +
- gu32*PDstandardNth3gyy);
+ CCTK_REAL G323 = 0.5*(gu33*JacPDstandardNth2gzz +
+ gu31*(-JacPDstandardNth1gyz + JacPDstandardNth2gxz +
+ JacPDstandardNth3gxy) + gu32*JacPDstandardNth3gyy);
- CCTK_REAL G133 = 0.5*(gu11*(-PDstandardNth1gzz + 2*PDstandardNth3gxz)
- + gu21*(-PDstandardNth2gzz + 2*PDstandardNth3gyz) +
- gu31*PDstandardNth3gzz);
+ CCTK_REAL G133 = 0.5*(gu11*(-JacPDstandardNth1gzz +
+ 2*JacPDstandardNth3gxz) + gu21*(-JacPDstandardNth2gzz +
+ 2*JacPDstandardNth3gyz) + gu31*JacPDstandardNth3gzz);
- CCTK_REAL G233 = 0.5*(gu21*(-PDstandardNth1gzz + 2*PDstandardNth3gxz)
- + gu22*(-PDstandardNth2gzz + 2*PDstandardNth3gyz) +
- gu32*PDstandardNth3gzz);
+ CCTK_REAL G233 = 0.5*(gu21*(-JacPDstandardNth1gzz +
+ 2*JacPDstandardNth3gxz) + gu22*(-JacPDstandardNth2gzz +
+ 2*JacPDstandardNth3gyz) + gu32*JacPDstandardNth3gzz);
- CCTK_REAL G333 = 0.5*(gu31*(-PDstandardNth1gzz + 2*PDstandardNth3gxz)
- + gu32*(-PDstandardNth2gzz + 2*PDstandardNth3gyz) +
- gu33*PDstandardNth3gzz);
+ CCTK_REAL G333 = 0.5*(gu31*(-JacPDstandardNth1gzz +
+ 2*JacPDstandardNth3gxz) + gu32*(-JacPDstandardNth2gzz +
+ 2*JacPDstandardNth3gyz) + gu33*JacPDstandardNth3gzz);
- CCTK_REAL R11 = 0.5*(gu32*(4*(gxyL*(-(G123*G211) + G113*G212) +
+ CCTK_REAL R11 = 0.5*(gu21*(-JacPDstandardNth12gxx +
+ JacPDstandardNth21gxx) + gu31*(-JacPDstandardNth13gxx +
+ JacPDstandardNth31gxx) + gu32*(4*(gxyL*(-(G123*G211) + G113*G212) +
gyyL*(G212*G213 - G211*G223) + gxzL*G113*G312 + gyzL*G212*G313 +
gzzL*G312*G313 + G112*(gxxL*G113 + gxyL*G213 + gxzL*G313) -
G111*(gxxL*G123 + gxyL*G223 + gxzL*G323) + G311*(-(gxzL*G123) -
- gyzL*G223 - gzzL*G323) + gyzL*(G213*G312 - G211*G323)) +
- 2*(-PDstandardNth11gyz + PDstandardNth12gxz + PDstandardNth13gxy -
- PDstandardNth23gxx)) + gu22*(-PDstandardNth11gyy + 2*PDstandardNth12gxy
- - PDstandardNth22gxx + 2*(2*gyzL*G212*G312 + 2*G112*(gxyL*G212 +
+ gyzL*G223 - gzzL*G323) + gyzL*(G213*G312 - G211*G323)) -
+ JacPDstandardNth11gyz + JacPDstandardNth21gxz - JacPDstandardNth23gxx +
+ JacPDstandardNth31gxy) + gu32*(-JacPDstandardNth11gyz +
+ JacPDstandardNth21gxz + JacPDstandardNth31gxy - JacPDstandardNth32gxx)
+ + gu22*(-JacPDstandardNth11gyy + 2*JacPDstandardNth21gxy -
+ JacPDstandardNth22gxx + 2*(2*gyzL*G212*G312 + 2*G112*(gxyL*G212 +
gxzL*G312) - G111*(gxxL*G122 + gxyL*G222 + gxzL*G322) +
G211*(-(gxyL*G122) - gyyL*G222 - gyzL*G322) +
G311*(-(gxzL*G122) - gyzL*G222 - gzzL*G322) + gxxL*SQR(G112) +
- gyyL*SQR(G212) + gzzL*SQR(G312))) + gu33*(-PDstandardNth11gzz +
- 2*PDstandardNth13gxz - PDstandardNth33gxx + 2*(2*gyzL*G213*G313 +
- 2*G113*(gxyL*G213 + gxzL*G313) - G111*(gxxL*G133 + gxyL*G233 +
- gxzL*G333) + G211*(-(gxyL*G133) - gyyL*G233 - gyzL*G333) +
+ gyyL*SQR(G212) + gzzL*SQR(G312))) + gu33*(-JacPDstandardNth11gzz +
+ 2*JacPDstandardNth31gxz - JacPDstandardNth33gxx + 2*(2*gyzL*G213*G313
+ + 2*G113*(gxyL*G213 + gxzL*G313) - G111*(gxxL*G133 + gxyL*G233
+ + gxzL*G333) + G211*(-(gxyL*G133) - gyyL*G233 - gyzL*G333) +
G311*(-(gxzL*G133) - gyzL*G233 - gzzL*G333) + gxxL*SQR(G113) +
gyyL*SQR(G213) + gzzL*SQR(G313))));
- CCTK_REAL R12 = 0.5*(gu21*(PDstandardNth11gyy - 2*PDstandardNth12gxy +
- PDstandardNth22gxx) + gu31*(PDstandardNth11gyz - PDstandardNth12gxz -
- PDstandardNth13gxy + PDstandardNth23gxx) + gu32*(-PDstandardNth12gyz +
- PDstandardNth13gyy + PDstandardNth22gxz - PDstandardNth23gxy) +
- gu33*(-PDstandardNth12gzz + PDstandardNth13gyz + PDstandardNth23gxz -
- PDstandardNth33gxy) + 2*((gxyL*(G123*G211 - G113*G212) +
- gyyL*(-(G212*G213) + G211*G223) - G112*(gxxL*G113 + gxyL*G213 +
- gxzL*G313) + G312*(-(gxzL*G113) - gyzL*G213 - gzzL*G313) +
- G111*(gxxL*G123 + gxyL*G223 + gxzL*G323) + G311*(gxzL*G123 +
- gyzL*G223 + gzzL*G323) + gyzL*(-(G212*G313) + G211*G323))*gu31 +
- (gxyL*(-(G123*G212) + G122*G213) + gyyL*(G213*G222 - G212*G223) +
- gxzL*G122*G313 + gyzL*G213*G322 + gzzL*G313*G322 +
- G113*(gxxL*G122 + gxyL*G222 + gxzL*G322) - G112*(gxxL*G123 +
- gxyL*G223 + gxzL*G323) + G312*(-(gxzL*G123) - gyzL*G223 -
- gzzL*G323) + gyzL*(G222*G313 - G212*G323))*gu32 +
+ CCTK_REAL R12 = 0.5*(gu22*(-JacPDstandardNth12gyy +
+ JacPDstandardNth21gyy) + gu21*(JacPDstandardNth11gyy -
+ 2*JacPDstandardNth12gxy + JacPDstandardNth22gxx) +
+ gu32*(-2*JacPDstandardNth12gyz + JacPDstandardNth21gyz +
+ JacPDstandardNth22gxz - JacPDstandardNth23gxy + JacPDstandardNth31gyy)
+ + gu31*(JacPDstandardNth11gyz - JacPDstandardNth12gxz -
+ JacPDstandardNth13gxy + JacPDstandardNth32gxx) +
+ gu33*(-JacPDstandardNth12gzz + JacPDstandardNth31gyz +
+ JacPDstandardNth32gxz - JacPDstandardNth33gxy) + 2*((gxyL*(G123*G211
+ - G113*G212) + gyyL*(-(G212*G213) + G211*G223) - G112*(gxxL*G113 +
+ gxyL*G213 + gxzL*G313) + G312*(-(gxzL*G113) - gyzL*G213 -
+ gzzL*G313) + G111*(gxxL*G123 + gxyL*G223 + gxzL*G323) +
+ G311*(gxzL*G123 + gyzL*G223 + gzzL*G323) + gyzL*(-(G212*G313) +
+ G211*G323))*gu31 + (gxyL*(-(G123*G212) + G122*G213) +
+ gyyL*(G213*G222 - G212*G223) + gxzL*G122*G313 + gyzL*G213*G322 +
+ gzzL*G313*G322 + G113*(gxxL*G122 + gxyL*G222 + gxzL*G322) -
+ G112*(gxxL*G123 + gxyL*G223 + gxzL*G323) + G312*(-(gxzL*G123) -
+ gyzL*G223 - gzzL*G323) + gyzL*(G222*G313 - G212*G323))*gu32 +
(gxyL*(-(G133*G212) + G123*G213) + gyyL*(G213*G223 - G212*G233) +
gxzL*G123*G313 + gyzL*G213*G323 + gzzL*G313*G323 +
G113*(gxxL*G123 + gxyL*G223 + gxzL*G323) - G112*(gxxL*G133 +
@@ -328,12 +1118,15 @@ static void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const
gzzL*G322) - gxxL*SQR(G112) - gyyL*SQR(G212) -
gzzL*SQR(G312))));
- CCTK_REAL R13 = 0.5*(gu21*(PDstandardNth11gyz - PDstandardNth12gxz -
- PDstandardNth13gxy + PDstandardNth23gxx) + gu22*(PDstandardNth12gyz -
- PDstandardNth13gyy - PDstandardNth22gxz + PDstandardNth23gxy) +
- gu31*(PDstandardNth11gzz - 2*PDstandardNth13gxz + PDstandardNth33gxx) +
- gu32*(PDstandardNth12gzz - PDstandardNth13gyz - PDstandardNth23gxz +
- PDstandardNth33gxy) + 2*((gxyL*(G123*G211 - G113*G212) +
+ CCTK_REAL R13 = 0.5*(gu21*(JacPDstandardNth11gyz -
+ JacPDstandardNth12gxz - JacPDstandardNth13gxy + JacPDstandardNth23gxx)
+ + gu22*(-JacPDstandardNth13gyy + JacPDstandardNth21gyz -
+ JacPDstandardNth22gxz + JacPDstandardNth23gxy) +
+ gu33*(-JacPDstandardNth13gzz + JacPDstandardNth31gzz) +
+ gu31*(JacPDstandardNth11gzz - 2*JacPDstandardNth13gxz +
+ JacPDstandardNth33gxx) + gu32*(-2*JacPDstandardNth13gyz +
+ JacPDstandardNth21gzz + JacPDstandardNth31gyz - JacPDstandardNth32gxz +
+ JacPDstandardNth33gxy) + 2*((gxyL*(G123*G211 - G113*G212) +
gyyL*(-(G212*G213) + G211*G223) - G112*(gxxL*G113 + gxyL*G213 +
gxzL*G313) + G312*(-(gxzL*G113) - gyzL*G213 - gzzL*G313) +
G111*(gxxL*G123 + gxyL*G223 + gxzL*G323) + G311*(gxzL*G123 +
@@ -353,30 +1146,37 @@ static void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const
gyzL*G233 + gzzL*G333) - gxxL*SQR(G113) - gyyL*SQR(G213) -
gzzL*SQR(G313))));
- CCTK_REAL R22 = 0.5*(gu31*(4*(gxyL*(G123*G212 - G122*G213) +
+ CCTK_REAL R22 = 0.5*(gu21*(JacPDstandardNth12gyy -
+ JacPDstandardNth21gyy) + gu31*(4*(gxyL*(G123*G212 - G122*G213) +
gyyL*(-(G213*G222) + G212*G223) + gxzL*(G123*G312 - G122*G313) -
G113*(gxxL*G122 + gxyL*G222 + gxzL*G322) + gyzL*(G223*G312 -
G222*G313 - G213*G322) + gyzL*G212*G323 + G112*(gxxL*G123 +
gxyL*G223 + gxzL*G323) + gzzL*(-(G313*G322) + G312*G323)) +
- 2*(PDstandardNth12gyz - PDstandardNth13gyy - PDstandardNth22gxz +
- PDstandardNth23gxy)) + gu11*(-PDstandardNth11gyy + 2*PDstandardNth12gxy
- - PDstandardNth22gxx + 2*(2*gyzL*G212*G312 + 2*G112*(gxyL*G212 +
+ JacPDstandardNth12gyz - JacPDstandardNth13gyy - JacPDstandardNth22gxz +
+ JacPDstandardNth32gxy) + gu31*(JacPDstandardNth12gyz -
+ JacPDstandardNth22gxz - JacPDstandardNth31gyy + JacPDstandardNth32gxy)
+ + gu32*(-JacPDstandardNth23gyy + JacPDstandardNth32gyy) +
+ gu11*(-JacPDstandardNth11gyy + 2*JacPDstandardNth12gxy -
+ JacPDstandardNth22gxx + 2*(2*gyzL*G212*G312 + 2*G112*(gxyL*G212 +
gxzL*G312) - G111*(gxxL*G122 + gxyL*G222 + gxzL*G322) +
G211*(-(gxyL*G122) - gyyL*G222 - gyzL*G322) +
G311*(-(gxzL*G122) - gyzL*G222 - gzzL*G322) + gxxL*SQR(G112) +
- gyyL*SQR(G212) + gzzL*SQR(G312))) + gu33*(-PDstandardNth22gzz +
- 2*PDstandardNth23gyz - PDstandardNth33gyy + 2*(2*gyzL*G223*G323 +
- 2*G123*(gxyL*G223 + gxzL*G323) - G122*(gxxL*G133 + gxyL*G233 +
- gxzL*G333) + G222*(-(gxyL*G133) - gyyL*G233 - gyzL*G333) +
+ gyyL*SQR(G212) + gzzL*SQR(G312))) + gu33*(-JacPDstandardNth22gzz +
+ 2*JacPDstandardNth32gyz - JacPDstandardNth33gyy + 2*(2*gyzL*G223*G323
+ + 2*G123*(gxyL*G223 + gxzL*G323) - G122*(gxxL*G133 + gxyL*G233
+ + gxzL*G333) + G222*(-(gxyL*G133) - gyyL*G233 - gyzL*G333) +
G322*(-(gxzL*G133) - gyzL*G233 - gzzL*G333) + gxxL*SQR(G123) +
gyyL*SQR(G223) + gzzL*SQR(G323))));
- CCTK_REAL R23 = 0.5*(gu11*(-PDstandardNth11gyz + PDstandardNth12gxz +
- PDstandardNth13gxy - PDstandardNth23gxx) + gu21*(-PDstandardNth12gyz +
- PDstandardNth13gyy + PDstandardNth22gxz - PDstandardNth23gxy) +
- gu31*(PDstandardNth12gzz - PDstandardNth13gyz - PDstandardNth23gxz +
- PDstandardNth33gxy) + gu32*(PDstandardNth22gzz - 2*PDstandardNth23gyz +
- PDstandardNth33gyy) + 2*((gxyL*(-(G123*G211) + G113*G212) +
+ CCTK_REAL R23 = 0.5*(gu11*(-JacPDstandardNth11gyz +
+ JacPDstandardNth12gxz + JacPDstandardNth13gxy - JacPDstandardNth23gxx)
+ + gu21*(JacPDstandardNth13gyy - JacPDstandardNth21gyz +
+ JacPDstandardNth22gxz - JacPDstandardNth23gxy) +
+ gu33*(-JacPDstandardNth23gzz + JacPDstandardNth32gzz) +
+ gu31*(JacPDstandardNth12gzz - 2*JacPDstandardNth23gxz -
+ JacPDstandardNth31gyz + JacPDstandardNth32gxz + JacPDstandardNth33gxy)
+ + gu32*(JacPDstandardNth22gzz - 2*JacPDstandardNth23gyz +
+ JacPDstandardNth33gyy) + 2*((gxyL*(-(G123*G211) + G113*G212) +
gyyL*(G212*G213 - G211*G223) + gxzL*G113*G312 + gyzL*G212*G313 +
gzzL*G312*G313 + G112*(gxxL*G113 + gxyL*G213 + gxzL*G313) -
G111*(gxxL*G123 + gxyL*G223 + gxzL*G323) + G311*(-(gxzL*G123) -
@@ -396,21 +1196,25 @@ static void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const
G322*(gxzL*G133 + gyzL*G233 + gzzL*G333) - gxxL*SQR(G123) -
gyyL*SQR(G223) - gzzL*SQR(G323))));
- CCTK_REAL R33 = 0.5*(gu21*(4*(gxyL*(-(G133*G212) + G123*G213) +
+ CCTK_REAL R33 = 0.5*(gu31*(JacPDstandardNth13gzz -
+ JacPDstandardNth31gzz) + gu32*(JacPDstandardNth23gzz -
+ JacPDstandardNth32gzz) + gu21*(4*(gxyL*(-(G133*G212) + G123*G213) +
gyyL*(G213*G223 - G212*G233) + gxzL*G123*G313 + gyzL*G213*G323 +
gzzL*G313*G323 + G113*(gxxL*G123 + gxyL*G223 + gxzL*G323) -
G112*(gxxL*G133 + gxyL*G233 + gxzL*G333) + G312*(-(gxzL*G133) -
- gyzL*G233 - gzzL*G333) + gyzL*(G223*G313 - G212*G333)) +
- 2*(-PDstandardNth12gzz + PDstandardNth13gyz + PDstandardNth23gxz -
- PDstandardNth33gxy)) + gu11*(-PDstandardNth11gzz + 2*PDstandardNth13gxz
- - PDstandardNth33gxx + 2*(2*gyzL*G213*G313 + 2*G113*(gxyL*G213 +
+ gyzL*G233 - gzzL*G333) + gyzL*(G223*G313 - G212*G333)) -
+ JacPDstandardNth12gzz + JacPDstandardNth13gyz + JacPDstandardNth23gxz -
+ JacPDstandardNth33gxy) + gu21*(JacPDstandardNth13gyz -
+ JacPDstandardNth21gzz + JacPDstandardNth23gxz - JacPDstandardNth33gxy)
+ + gu11*(-JacPDstandardNth11gzz + 2*JacPDstandardNth13gxz -
+ JacPDstandardNth33gxx + 2*(2*gyzL*G213*G313 + 2*G113*(gxyL*G213 +
gxzL*G313) - G111*(gxxL*G133 + gxyL*G233 + gxzL*G333) +
G211*(-(gxyL*G133) - gyyL*G233 - gyzL*G333) +
G311*(-(gxzL*G133) - gyzL*G233 - gzzL*G333) + gxxL*SQR(G113) +
- gyyL*SQR(G213) + gzzL*SQR(G313))) + gu22*(-PDstandardNth22gzz +
- 2*PDstandardNth23gyz - PDstandardNth33gyy + 2*(2*gyzL*G223*G323 +
- 2*G123*(gxyL*G223 + gxzL*G323) - G122*(gxxL*G133 + gxyL*G233 +
- gxzL*G333) + G222*(-(gxyL*G133) - gyyL*G233 - gyzL*G333) +
+ gyyL*SQR(G213) + gzzL*SQR(G313))) + gu22*(-JacPDstandardNth22gzz +
+ 2*JacPDstandardNth23gyz - JacPDstandardNth33gyy + 2*(2*gyzL*G223*G323
+ + 2*G123*(gxyL*G223 + gxzL*G323) - G122*(gxxL*G133 + gxyL*G233
+ + gxzL*G333) + G222*(-(gxyL*G133) - gyyL*G233 - gyzL*G333) +
G322*(-(gxzL*G133) - gyzL*G233 - gzzL*G333) + gxxL*SQR(G123) +
gyyL*SQR(G223) + gzzL*SQR(G323))));
@@ -455,43 +1259,43 @@ static void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const
trR - SQR(Km11) - SQR(Km22) - SQR(Km33) + SQR(trK);
CCTK_REAL M1L = gu21*(-(kxxL*G112) + kyyL*G211 + kxyL*(G111 -
- G212) + kyzL*G311 - kxzL*G312 - PDstandardNth1kxy +
- PDstandardNth2kxx) + gu22*(-(kxxL*G122) + kyyL*G212 + kxyL*(G112
- - G222) + kyzL*G312 - kxzL*G322 - PDstandardNth1kyy +
- PDstandardNth2kxy) + gu31*(-(kxxL*G113) + kyzL*G211 - kxyL*G213 +
- kzzL*G311 + kxzL*(G111 - G313) - PDstandardNth1kxz +
- PDstandardNth3kxx) + gu32*(kyyL*G213 + kxyL*(G113 - 2*G223) +
+ G212) + kyzL*G311 - kxzL*G312 - JacPDstandardNth1kxy +
+ JacPDstandardNth2kxx) + gu22*(-(kxxL*G122) + kyyL*G212 +
+ kxyL*(G112 - G222) + kyzL*G312 - kxzL*G322 - JacPDstandardNth1kyy
+ + JacPDstandardNth2kxy) + gu31*(-(kxxL*G113) + kyzL*G211 -
+ kxyL*G213 + kzzL*G311 + kxzL*(G111 - G313) - JacPDstandardNth1kxz
+ + JacPDstandardNth3kxx) + gu32*(kyyL*G213 + kxyL*(G113 - 2*G223) +
kzzL*G312 + kyzL*(G212 + G313) + kxzL*(G112 - 2*G323) -
- 2*(kxxL*G123 + PDstandardNth1kyz) + PDstandardNth2kxz +
- PDstandardNth3kxy) + gu33*(-(kxxL*G133) + kyzL*G213 - kxyL*G233 +
- kzzL*G313 + kxzL*(G113 - G333) - PDstandardNth1kzz +
- PDstandardNth3kxz) - 8*Pi*S1;
+ 2*(kxxL*G123 + JacPDstandardNth1kyz) + JacPDstandardNth2kxz +
+ JacPDstandardNth3kxy) + gu33*(-(kxxL*G133) + kyzL*G213 -
+ kxyL*G233 + kzzL*G313 + kxzL*(G113 - G333) - JacPDstandardNth1kzz
+ + JacPDstandardNth3kxz) - 8*Pi*S1;
CCTK_REAL M2L = gu11*(kxxL*G112 - kyyL*G211 + kxyL*(-G111 +
- G212) - kyzL*G311 + kxzL*G312 + PDstandardNth1kxy -
- PDstandardNth2kxx) + gu21*(kxxL*G122 - kyyL*G212 + kxyL*(-G112 +
- G222) - kyzL*G312 + kxzL*G322 + PDstandardNth1kyy -
- PDstandardNth2kxy) + gu31*(kxxL*G123 + kxyL*G223 + kzzL*G312 +
- kyzL*(G212 - 2*G313) + kxzL*(G112 + G323) + PDstandardNth1kyz -
- 2*(kxyL*G113 + kyyL*G213 + PDstandardNth2kxz) + PDstandardNth3kxy)
- + gu32*(kxzL*G122 - kxyL*G123 - kyyL*G223 + kzzL*G322 +
- kyzL*(G222 - G323) - PDstandardNth2kyz + PDstandardNth3kyy) +
- gu33*(kxzL*G123 - kxyL*G133 - kyyL*G233 + kzzL*G323 +
- kyzL*(G223 - G333) - PDstandardNth2kzz + PDstandardNth3kyz) -
- 8*Pi*S2;
+ G212) - kyzL*G311 + kxzL*G312 + JacPDstandardNth1kxy -
+ JacPDstandardNth2kxx) + gu21*(kxxL*G122 - kyyL*G212 + kxyL*(-G112
+ + G222) - kyzL*G312 + kxzL*G322 + JacPDstandardNth1kyy -
+ JacPDstandardNth2kxy) + gu31*(kxxL*G123 + kxyL*G223 + kzzL*G312 +
+ kyzL*(G212 - 2*G313) + kxzL*(G112 + G323) + JacPDstandardNth1kyz -
+ 2*(kxyL*G113 + kyyL*G213 + JacPDstandardNth2kxz) +
+ JacPDstandardNth3kxy) + gu32*(kxzL*G122 - kxyL*G123 - kyyL*G223 +
+ kzzL*G322 + kyzL*(G222 - G323) - JacPDstandardNth2kyz +
+ JacPDstandardNth3kyy) + gu33*(kxzL*G123 - kxyL*G133 - kyyL*G233 +
+ kzzL*G323 + kyzL*(G223 - G333) - JacPDstandardNth2kzz +
+ JacPDstandardNth3kyz) - 8*Pi*S2;
CCTK_REAL M3L = gu11*(kxxL*G113 - kyzL*G211 + kxyL*G213 -
- kzzL*G311 + kxzL*(-G111 + G313) + PDstandardNth1kxz -
- PDstandardNth3kxx) + gu21*(kxxL*G123 + kyyL*G213 + kxyL*(G113 +
- G223) + kyzL*G313 + kxzL*G323 + PDstandardNth1kyz +
- PDstandardNth2kxz - 2*(kxzL*G112 + kyzL*G212 + kzzL*G312 +
- PDstandardNth3kxy)) + gu31*(kxxL*G133 - kyzL*G213 + kxyL*G233 -
- kzzL*G313 + kxzL*(-G113 + G333) + PDstandardNth1kzz -
- PDstandardNth3kxz) + gu22*(-(kxzL*G122) + kxyL*G123 + kyyL*G223 -
- kzzL*G322 + kyzL*(-G222 + G323) + PDstandardNth2kyz -
- PDstandardNth3kyy) + gu32*(-(kxzL*G123) + kxyL*G133 + kyyL*G233 -
- kzzL*G323 + kyzL*(-G223 + G333) + PDstandardNth2kzz -
- PDstandardNth3kyz) - 8*Pi*S3;
+ kzzL*G311 + kxzL*(-G111 + G313) + JacPDstandardNth1kxz -
+ JacPDstandardNth3kxx) + gu21*(kxxL*G123 + kyyL*G213 + kxyL*(G113
+ + G223) + kyzL*G313 + kxzL*G323 + JacPDstandardNth1kyz +
+ JacPDstandardNth2kxz - 2*(kxzL*G112 + kyzL*G212 + kzzL*G312 +
+ JacPDstandardNth3kxy)) + gu31*(kxxL*G133 - kyzL*G213 + kxyL*G233
+ - kzzL*G313 + kxzL*(-G113 + G333) + JacPDstandardNth1kzz -
+ JacPDstandardNth3kxz) + gu22*(-(kxzL*G122) + kxyL*G123 +
+ kyyL*G223 - kzzL*G322 + kyzL*(-G222 + G323) +
+ JacPDstandardNth2kyz - JacPDstandardNth3kyy) + gu32*(-(kxzL*G123) +
+ kxyL*G133 + kyyL*G233 - kzzL*G323 + kyzL*(-G223 + G333) +
+ JacPDstandardNth2kzz - JacPDstandardNth3kyz) - 8*Pi*S3;
/* Copy local copies back to grid functions */
H[index] = HL;