diff options
author | Erik Schnetter <schnetter@cct.lsu.edu> | 2010-03-18 20:28:16 -0700 |
---|---|---|
committer | Erik Schnetter <schnetter@cct.lsu.edu> | 2010-03-18 20:28:16 -0700 |
commit | cb546d85228985472ddc13d1633d4f0eb689f872 (patch) | |
tree | 33db751f5f14ea2c3b7bfb8248762d73fa4db0c4 /ML_BSSN | |
parent | 33479637cddfa24c0150cb691ee0bc1695f42866 (diff) |
Use Ian's version of Kranc, which is found at
<git@github.com:ianhinder/Kranc.git>.
Diffstat (limited to 'ML_BSSN')
-rw-r--r-- | ML_BSSN/param.ccl | 12 | ||||
-rw-r--r-- | ML_BSSN/schedule.ccl | 5 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_Minkowski.c | 89 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_RHS.c | 1633 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_RHS1.c | 539 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_RHS2.c | 844 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.c | 240 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_RHSStaticBoundary.c | 89 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_boundary.c | 89 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_constraints.c | 1245 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_constraints_boundary.c | 53 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_convertFromADMBase.c | 157 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.c | 249 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_convertToADMBase.c | 129 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.c | 86 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c | 59 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_convertToADMBaseFakeDtLapseShift.c | 59 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_enforce.c | 108 | ||||
-rw-r--r-- | ML_BSSN/src/ML_BSSN_enforce2.c | 164 | ||||
-rw-r--r-- | ML_BSSN/src/make.code.defn | 2 |
20 files changed, 2788 insertions, 3063 deletions
diff --git a/ML_BSSN/param.ccl b/ML_BSSN/param.ccl index d13eea4..f628d53 100644 --- a/ML_BSSN/param.ccl +++ b/ML_BSSN/param.ccl @@ -243,12 +243,6 @@ CCTK_INT ML_BSSN_enforce_calc_every "ML_BSSN_enforce_calc_every" } 1 restricted: -CCTK_INT ML_BSSN_enforce2_calc_every "ML_BSSN_enforce2_calc_every" -{ - *:* :: "" -} 1 - -restricted: CCTK_INT ML_BSSN_boundary_calc_every "ML_BSSN_boundary_calc_every" { *:* :: "" @@ -345,12 +339,6 @@ CCTK_INT ML_BSSN_enforce_calc_offset "ML_BSSN_enforce_calc_offset" } 0 restricted: -CCTK_INT ML_BSSN_enforce2_calc_offset "ML_BSSN_enforce2_calc_offset" -{ - *:* :: "" -} 0 - -restricted: CCTK_INT ML_BSSN_boundary_calc_offset "ML_BSSN_boundary_calc_offset" { *:* :: "" diff --git a/ML_BSSN/schedule.ccl b/ML_BSSN/schedule.ccl index f7a8179..7b52f97 100644 --- a/ML_BSSN/schedule.ccl +++ b/ML_BSSN/schedule.ccl @@ -403,11 +403,6 @@ schedule ML_BSSN_enforce IN MoL_PostStep BEFORE ML_BSSN_SelectBoundConds LANG: C } "ML_BSSN_enforce" -schedule ML_BSSN_enforce2 IN MoL_PostStep AFTER ML_BSSN_enforce BEFORE ML_BSSN_SelectBoundConds -{ - LANG: C -} "ML_BSSN_enforce2" - if (CCTK_EQUALS(my_boundary_condition, "Minkowski")) { diff --git a/ML_BSSN/src/ML_BSSN_Minkowski.c b/ML_BSSN/src/ML_BSSN_Minkowski.c index 29622aa..a1fc136 100644 --- a/ML_BSSN/src/ML_BSSN_Minkowski.c +++ b/ML_BSSN/src/ML_BSSN_Minkowski.c @@ -28,20 +28,6 @@ void ML_BSSN_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, in /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_Minkowski_Body"); @@ -94,86 +80,65 @@ void ML_BSSN_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, in cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - - /* Declare local copies of grid functions */ - // CCTK_REAL AL = INITVALUE; - // CCTK_REAL alphaL = INITVALUE; - // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - // CCTK_REAL phiL = INITVALUE; - // CCTK_REAL trKL = INITVALUE; - // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ /* Assign local copies of grid functions */ - /* Assign local copies of subblock grid functions */ - /* Include user supplied include files */ - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ + /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL const phiL = IfThen(conformalMethod,1,0); + CCTK_REAL phiL = IfThen(conformalMethod,1,0); - CCTK_REAL const gt11L = 1; + CCTK_REAL gt11L = 1; - CCTK_REAL const gt12L = 0; + CCTK_REAL gt12L = 0; - CCTK_REAL const gt13L = 0; + CCTK_REAL gt13L = 0; - CCTK_REAL const gt22L = 1; + CCTK_REAL gt22L = 1; - CCTK_REAL const gt23L = 0; + CCTK_REAL gt23L = 0; - CCTK_REAL const gt33L = 1; + CCTK_REAL gt33L = 1; - CCTK_REAL const trKL = 0; + CCTK_REAL trKL = 0; - CCTK_REAL const At11L = 0; + CCTK_REAL At11L = 0; - CCTK_REAL const At12L = 0; + CCTK_REAL At12L = 0; - CCTK_REAL const At13L = 0; + CCTK_REAL At13L = 0; - CCTK_REAL const At22L = 0; + CCTK_REAL At22L = 0; - CCTK_REAL const At23L = 0; + CCTK_REAL At23L = 0; - CCTK_REAL const At33L = 0; + CCTK_REAL At33L = 0; - CCTK_REAL const Xt1L = 0; + CCTK_REAL Xt1L = 0; - CCTK_REAL const Xt2L = 0; + CCTK_REAL Xt2L = 0; - CCTK_REAL const Xt3L = 0; + CCTK_REAL Xt3L = 0; - CCTK_REAL const alphaL = 1; + CCTK_REAL alphaL = 1; - CCTK_REAL const AL = 0; + CCTK_REAL AL = 0; - CCTK_REAL const beta1L = 0; + CCTK_REAL beta1L = 0; - CCTK_REAL const beta2L = 0; + CCTK_REAL beta2L = 0; - CCTK_REAL const beta3L = 0; + CCTK_REAL beta3L = 0; - CCTK_REAL const B1L = 0; + CCTK_REAL B1L = 0; - CCTK_REAL const B2L = 0; + CCTK_REAL B2L = 0; - CCTK_REAL const B3L = 0; + CCTK_REAL B3L = 0; /* Copy local copies back to grid functions */ @@ -202,8 +167,6 @@ void ML_BSSN_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, in Xt1[index] = Xt1L; Xt2[index] = Xt2L; Xt3[index] = Xt3L; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_Minkowski); } diff --git a/ML_BSSN/src/ML_BSSN_RHS.c b/ML_BSSN/src/ML_BSSN_RHS.c index 70d492b..4c51665 100644 --- a/ML_BSSN/src/ML_BSSN_RHS.c +++ b/ML_BSSN/src/ML_BSSN_RHS.c @@ -28,20 +28,6 @@ void ML_BSSN_RHS_Body(cGH const * restrict const cctkGH, int const dir, int cons /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_RHS_Body"); @@ -94,75 +80,7 @@ void ML_BSSN_RHS_Body(cGH const * restrict const cctkGH, int const dir, int cons cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; - // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; - // CCTK_REAL Ats11 = INITVALUE, Ats12 = INITVALUE, Ats13 = INITVALUE, Ats22 = INITVALUE, Ats23 = INITVALUE, Ats33 = INITVALUE; - // CCTK_REAL Atu11 = INITVALUE, Atu21 = INITVALUE, Atu22 = INITVALUE, Atu31 = INITVALUE, Atu32 = INITVALUE, Atu33 = INITVALUE; - // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; - // CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; - // CCTK_REAL detgt = INITVALUE; - // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - // CCTK_REAL e4phi = INITVALUE; - // CCTK_REAL em4phi = INITVALUE; - // CCTK_REAL eta = INITVALUE; - // CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; - // CCTK_REAL g11 = INITVALUE; - // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE; - // CCTK_REAL g12 = INITVALUE; - // CCTK_REAL G122 = INITVALUE, G123 = INITVALUE; - // CCTK_REAL g13 = INITVALUE; - // CCTK_REAL G133 = INITVALUE, G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE; - // CCTK_REAL g22 = INITVALUE; - // CCTK_REAL G222 = INITVALUE, G223 = INITVALUE; - // CCTK_REAL g23 = INITVALUE; - // CCTK_REAL G233 = INITVALUE, G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE; - // CCTK_REAL g33 = INITVALUE; - // CCTK_REAL G333 = INITVALUE; - // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; - // CCTK_REAL rho = INITVALUE; - // CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; - // CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; - // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; - // CCTK_REAL trAts = INITVALUE; - // CCTK_REAL trS = INITVALUE; - // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; - - /* Declare local copies of grid functions */ - // CCTK_REAL AL = INITVALUE; - // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; - // CCTK_REAL ArhsL = INITVALUE; - // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; - // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; - // CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; - // CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; - // CCTK_REAL eTttL = INITVALUE; - // CCTK_REAL eTtxL = INITVALUE; - // CCTK_REAL eTtyL = INITVALUE; - // CCTK_REAL eTtzL = INITVALUE; - // CCTK_REAL eTxxL = INITVALUE; - // CCTK_REAL eTxyL = INITVALUE; - // CCTK_REAL eTxzL = INITVALUE; - // CCTK_REAL eTyyL = INITVALUE; - // CCTK_REAL eTyzL = INITVALUE; - // CCTK_REAL eTzzL = INITVALUE; - // CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; - // CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; - // CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; - // CCTK_REAL rL = INITVALUE; - // CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; - // CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ // CCTK_REAL PDstandardNth1alpha = INITVALUE; // CCTK_REAL PDstandardNth2alpha = INITVALUE; @@ -277,48 +195,50 @@ void ML_BSSN_RHS_Body(cGH const * restrict const cctkGH, int const dir, int cons // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; /* Assign local copies of grid functions */ - CCTK_REAL const AL = A[index]; - CCTK_REAL const alphaL = alpha[index]; - CCTK_REAL const At11L = At11[index]; - CCTK_REAL const At12L = At12[index]; - CCTK_REAL const At13L = At13[index]; - CCTK_REAL const At22L = At22[index]; - CCTK_REAL const At23L = At23[index]; - CCTK_REAL const At33L = At33[index]; - CCTK_REAL const B1L = B1[index]; - CCTK_REAL const B2L = B2[index]; - CCTK_REAL const B3L = B3[index]; - CCTK_REAL const beta1L = beta1[index]; - CCTK_REAL const beta2L = beta2[index]; - CCTK_REAL const beta3L = beta3[index]; - CCTK_REAL const eTttL = (*stress_energy_state) ? (eTtt[index]) : 0.0; - CCTK_REAL const eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0; - CCTK_REAL const eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0; - CCTK_REAL const eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0; - CCTK_REAL const eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; - CCTK_REAL const eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; - CCTK_REAL const eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; - CCTK_REAL const eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; - CCTK_REAL const eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; - CCTK_REAL const eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; - CCTK_REAL const gt11L = gt11[index]; - CCTK_REAL const gt12L = gt12[index]; - CCTK_REAL const gt13L = gt13[index]; - CCTK_REAL const gt22L = gt22[index]; - CCTK_REAL const gt23L = gt23[index]; - CCTK_REAL const gt33L = gt33[index]; - CCTK_REAL const phiL = phi[index]; - CCTK_REAL const rL = r[index]; - CCTK_REAL const trKL = trK[index]; - CCTK_REAL const Xt1L = Xt1[index]; - CCTK_REAL const Xt2L = Xt2[index]; - CCTK_REAL const Xt3L = Xt3[index]; - - /* Assign local copies of subblock grid functions */ + CCTK_REAL AL = A[index]; + CCTK_REAL alphaL = alpha[index]; + CCTK_REAL At11L = At11[index]; + CCTK_REAL At12L = At12[index]; + CCTK_REAL At13L = At13[index]; + CCTK_REAL At22L = At22[index]; + CCTK_REAL At23L = At23[index]; + CCTK_REAL At33L = At33[index]; + CCTK_REAL B1L = B1[index]; + CCTK_REAL B2L = B2[index]; + CCTK_REAL B3L = B3[index]; + CCTK_REAL beta1L = beta1[index]; + CCTK_REAL beta2L = beta2[index]; + CCTK_REAL beta3L = beta3[index]; + CCTK_REAL eTttL = (*stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL gt11L = gt11[index]; + CCTK_REAL gt12L = gt12[index]; + CCTK_REAL gt13L = gt13[index]; + CCTK_REAL gt22L = gt22[index]; + CCTK_REAL gt23L = gt23[index]; + CCTK_REAL gt33L = gt33[index]; + CCTK_REAL phiL = phi[index]; + CCTK_REAL rL = r[index]; + CCTK_REAL trKL = trK[index]; + CCTK_REAL trKrhsL = trKrhs[index]; + CCTK_REAL Xt1L = Xt1[index]; + CCTK_REAL Xt1rhsL = Xt1rhs[index]; + CCTK_REAL Xt2L = Xt2[index]; + CCTK_REAL Xt2rhsL = Xt2rhs[index]; + CCTK_REAL Xt3L = Xt3[index]; + CCTK_REAL Xt3rhsL = Xt3rhs[index]; /* Include user supplied include files */ - /* Precompute derivatives (new style) */ + /* Precompute derivatives */ CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); @@ -431,686 +351,945 @@ void ML_BSSN_RHS_Body(cGH const * restrict const cctkGH, int const dir, int cons CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - /* Precompute derivatives (old style) */ - /* Calculate temporaries and grid functions */ - int const dir1 = Sign(beta1L); - - int const dir2 = Sign(beta2L); - - int const dir3 = Sign(beta3L); - - CCTK_REAL const detgt = 1; - - CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + int dir1 = Sign(beta1L); - CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + int dir2 = Sign(beta2L); - CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + int dir3 = Sign(beta3L); - CCTK_REAL const Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + CCTK_REAL detgt = 1; - CCTK_REAL const Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL const Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL const Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + - gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - CCTK_REAL const Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + - gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - CCTK_REAL const Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + - gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - CCTK_REAL const Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + - gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - CCTK_REAL const Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + - gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - CCTK_REAL const Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + - gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - CCTK_REAL const Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + - gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - CCTK_REAL const Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + - gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - CCTK_REAL const Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + - gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - CCTK_REAL const Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu21*PDstandardNth3gt22); - - CCTK_REAL const Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu22*PDstandardNth3gt22); - - CCTK_REAL const Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu32*PDstandardNth3gt22); - - CCTK_REAL const Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + - 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - - CCTK_REAL const Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + - 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - - CCTK_REAL const Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + - 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - - CCTK_REAL const Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - - CCTK_REAL const Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - - CCTK_REAL const Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - - CCTK_REAL const Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + gtu21* - (2*Gt211*Gt212*gt22L + 4*Gt112*gt13L*Gt311 + 2*Gt113*gt11L*Gt312 + 2*gt13L*Gt312*Gt313 + 2*gt13L*Gt211*Gt322 + - 2*gt13L*Gt311*Gt323 + 2*Gt311*Gt312*gt33L - PDstandardNth12gt11) - gtu31*PDstandardNth13gt11 + - gt11L*PDstandardNth1Xt1 + gt12L*(4*Gt111*Gt212*gtu21 + 2*Gt211*Gt222*gtu21 + 2*Gt212*Gt222*gtu22 + - 4*Gt113*Gt211*gtu31 + 4*Gt113*Gt212*gtu32 + 4*Gt113*Gt213*gtu33 + PDstandardNth1Xt2) + - gt13L*(4*Gt111*Gt312*gtu21 + 2*Gt212*Gt312*gtu21 + 4*Gt112*Gt312*gtu22 + 4*Gt113*Gt311*gtu31 + - 4*Gt113*Gt312*gtu32 + 4*Gt113*Gt313*gtu33 + PDstandardNth1Xt3) - gtu22*khalf*PDstandardNth22gt11 - - gtu32*PDstandardNth23gt11 - gtu33*khalf*PDstandardNth33gt11 + - Gt111*(6*Gt113*gt11L*gtu31 + 4*gt12L*Gt213*gtu31 + gt11L*Xtn1) + - Gt211*(2*Gt112*gt11L*gtu11 + 4*Gt111*gt12L*gtu11 + 2*gt11L*Gt122*gtu21 + 2*gt11L*Gt123*gtu31 + gt12L*Xtn1) + - Gt311*(4*Gt111*gt13L*gtu11 + 2*gt12L*Gt213*gtu11 + 2*gt13L*Gt313*gtu11 + 2*gt11L*Gt123*gtu21 + - 2*gt11L*Gt133*gtu31 + gt13L*Xtn1) + gt12L*Gt212*Xtn2 + gt13L*Gt312*Xtn2 + - Gt112*(6*Gt111*gt11L*gtu21 + 4*gt12L*Gt211*gtu21 + 4*gt12L*Gt212*gtu22 + 2*gt11L*Gt213*gtu31 + - 6*Gt113*gt11L*gtu32 + gt11L*Xtn2) + Gt113*gt11L*Xtn3 + - Gt213*(2*gt11L*Gt122*gtu32 + 4*Gt112*gt12L*gtu32 + 2*gt11L*Gt123*gtu33 + gt12L*Xtn3) + - Gt313*(4*Gt111*gt13L*gtu31 + 2*gt12L*Gt213*gtu31 + 2*gt11L*Gt123*gtu32 + 4*Gt112*gt13L*gtu32 + - 2*gt12L*Gt223*gtu32 + 2*gt11L*Gt133*gtu33 + gt13L*Xtn3) + 3*gt11L*gtu11*SQR(Gt111) + 3*gt11L*gtu22*SQR(Gt112) + - 3*gt11L*gtu33*SQR(Gt113) + gt22L*gtu11*SQR(Gt211) + gt22L*gtu22*SQR(Gt212) + - 2*(gt12L*Gt211*Gt212*gtu11 + Gt113*gt11L*Gt311*gtu11 + Gt211*gt23L*Gt311*gtu11 + gt13L*Gt211*Gt312*gtu11 + - Gt112*gt11L*Gt212*gtu21 + gt12L*Gt223*Gt311*gtu21 + Gt212*gt23L*Gt311*gtu21 + gt12L*Gt213*Gt312*gtu21 + - Gt211*gt23L*Gt312*gtu21 + gt11L*Gt122*Gt212*gtu22 + gt11L*Gt123*Gt312*gtu22 + gt12L*Gt223*Gt312*gtu22 + - Gt212*gt23L*Gt312*gtu22 + gt13L*Gt212*Gt322*gtu22 + gt13L*Gt312*Gt323*gtu22 + gt12L*Gt212*Gt213*gtu31 + - gt12L*Gt211*Gt223*gtu31 + Gt211*Gt213*gt22L*gtu31 + gt12L*Gt233*Gt311*gtu31 + Gt213*gt23L*Gt311*gtu31 + - gt13L*Gt213*Gt312*gtu31 + Gt113*gt11L*Gt313*gtu31 + Gt211*gt23L*Gt313*gtu31 + gt13L*Gt211*Gt323*gtu31 + - gt13L*Gt311*Gt333*gtu31 + Gt311*Gt313*gt33L*gtu31 + gt11L*Gt123*Gt212*gtu32 + gt12L*Gt213*Gt222*gtu32 + - gt12L*Gt212*Gt223*gtu32 + Gt212*Gt213*gt22L*gtu32 + gt11L*Gt133*Gt312*gtu32 + gt12L*Gt233*Gt312*gtu32 + - Gt213*gt23L*Gt312*gtu32 + Gt212*gt23L*Gt313*gtu32 + gt13L*Gt213*Gt322*gtu32 + gt13L*Gt212*Gt323*gtu32 + - gt13L*Gt313*Gt323*gtu32 + gt13L*Gt312*Gt333*gtu32 + Gt312*Gt313*gt33L*gtu32 + gt12L*Gt213*Gt223*gtu33 + - gt12L*Gt233*Gt313*gtu33 + Gt213*gt23L*Gt313*gtu33 + gt13L*Gt213*Gt323*gtu33 + gt13L*Gt313*Gt333*gtu33 + - gt12L*gtu21*SQR(Gt212)) + gt22L*gtu33*SQR(Gt213) + gt33L*gtu11*SQR(Gt311) + gt33L*gtu22*SQR(Gt312) + - 2*gt13L*gtu31*SQR(Gt313) + gt33L*gtu33*SQR(Gt313); - - CCTK_REAL const Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + - gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - - 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - - gtu33*PDstandardNth33gt12 + (Gt111*gt12L + Gt211*gt22L + gt23L*Gt311)*Xtn1 + - (Gt112*gt11L + gt12L*Gt212 + gt13L*Gt312)*Xtn1 + (Gt112*gt12L + Gt212*gt22L + gt23L*Gt312)*Xtn2 + - (gt11L*Gt122 + gt12L*Gt222 + gt13L*Gt322)*Xtn2 + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xtn3 + - (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xtn3 + - 2*gtu21*(Gt112*gt11L*Gt222 + Gt112*Gt211*gt22L + Gt211*Gt222*gt22L + 2*Gt122*gt13L*Gt311 + Gt112*gt23L*Gt311 + - Gt222*gt23L*Gt311 + gt13L*Gt222*Gt312 + Gt213*gt22L*Gt312 + Gt212*gt23L*Gt312 + gt23L*Gt312*Gt313 + - Gt113*gt11L*Gt322 + Gt211*gt23L*Gt322 + gt13L*Gt313*Gt322 + - Gt111*(2*gt11L*Gt122 + Gt112*gt12L + gt12L*Gt222 + gt13L*Gt322) + - gt12L*(2*Gt122*Gt211 + Gt112*Gt212 + Gt212*Gt222 + Gt113*Gt312 + Gt213*Gt322) + Gt311*Gt322*gt33L + - gt22L*SQR(Gt212)) + 2*((Gt123*gt12L*Gt211 + Gt113*gt12L*Gt212 + 2*Gt112*gt12L*Gt213 + gt12L*Gt212*Gt223 + - Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + gt12L*Gt133*Gt311 + gt22L*Gt233*Gt311 + Gt113*gt13L*Gt312 + - gt12L*Gt233*Gt312 + Gt213*gt23L*Gt312 + gt11L*(2*Gt112*Gt113 + Gt123*Gt212 + Gt133*Gt312) + - 2*Gt112*gt13L*Gt313 + Gt212*gt23L*Gt313 + Gt111*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + - gt13L*Gt212*Gt323 + Gt211*gt23L*Gt323 + gt23L*Gt311*Gt333 + gt13L*Gt312*Gt333 + Gt312*Gt313*gt33L)*gtu31 + - (Gt123*gt12L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + gt12L*Gt222*Gt223 + Gt213*Gt222*gt22L + - Gt212*Gt223*gt22L + gt12L*Gt133*Gt312 + gt22L*Gt233*Gt312 + 2*Gt122*gt13L*Gt313 + Gt222*gt23L*Gt313 + - Gt112*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + Gt113*gt13L*Gt322 + gt12L*Gt233*Gt322 + - Gt213*gt23L*Gt322 + gt11L*(2*Gt113*Gt122 + Gt123*Gt222 + Gt133*Gt322) + gt13L*Gt222*Gt323 + - Gt212*gt23L*Gt323 + gt23L*Gt312*Gt333 + gt13L*Gt322*Gt333 + Gt313*Gt322*gt33L)*gtu32 + - gtu11*(3*Gt112*gt12L*Gt211 + 2*Gt211*Gt212*gt22L + Gt113*gt12L*Gt311 + 2*Gt112*gt13L*Gt311 + - Gt213*gt22L*Gt311 + Gt212*gt23L*Gt311 + gt13L*Gt212*Gt312 + gt12L*Gt213*Gt312 + 2*Gt211*gt23L*Gt312 + - gt11L*(2*Gt111*Gt112 + Gt112*Gt212 + Gt113*Gt312) + - Gt111*(gt12L*Gt212 + Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt23L*Gt311*Gt313 + gt13L*Gt312*Gt313 + - Gt311*Gt312*gt33L + gt12L*SQR(Gt111) + gt12L*SQR(Gt212))) + - 2*gtu22*(gt11L*Gt122*Gt222 + 2*Gt212*Gt222*gt22L + 2*Gt122*gt13L*Gt312 + Gt223*gt22L*Gt312 + Gt222*gt23L*Gt312 + - gt11L*Gt123*Gt322 + gt13L*Gt222*Gt322 + 2*Gt212*gt23L*Gt322 + - Gt112*(2*gt11L*Gt122 + gt12L*Gt222 + Gt212*gt22L + gt23L*Gt312 + gt13L*Gt322) + gt23L*Gt312*Gt323 + - gt13L*Gt322*Gt323 + Gt312*Gt322*gt33L + gt12L*SQR(Gt112) + - gt12L*(3*Gt122*Gt212 + Gt123*Gt312 + Gt223*Gt322 + SQR(Gt222))) + - 2*gtu33*(gt11L*Gt123*Gt223 + 2*Gt213*Gt223*gt22L + 2*Gt123*gt13L*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + - gt11L*Gt133*Gt323 + gt13L*Gt223*Gt323 + 2*Gt213*gt23L*Gt323 + - Gt113*(2*gt11L*Gt123 + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323) + gt23L*Gt313*Gt333 + - gt13L*Gt323*Gt333 + Gt313*Gt323*gt33L + gt12L*SQR(Gt113) + - gt12L*(3*Gt123*Gt213 + Gt133*Gt313 + Gt233*Gt323 + SQR(Gt223))) + - 2*gtu21*(Gt122*gt12L*Gt211 + 3*Gt112*gt12L*Gt212 + gt12L*Gt212*Gt222 + Gt211*Gt222*gt22L + Gt123*gt12L*Gt311 + - Gt223*gt22L*Gt311 + 3*Gt112*gt13L*Gt312 + gt12L*Gt223*Gt312 + 2*Gt212*gt23L*Gt312 + - Gt111*(Gt112*gt12L + Gt212*gt22L + gt23L*Gt312) + gt13L*Gt212*Gt322 + Gt211*gt23L*Gt322 + gt23L*Gt311*Gt323 + - gt13L*Gt312*Gt323 + gt11L*(Gt122*Gt212 + Gt123*Gt312 + 2*SQR(Gt112)) + gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) + - 2*gtu31*(Gt112*gt11L*Gt223 + Gt113*Gt211*gt22L + Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + 2*Gt123*gt13L*Gt311 + - Gt113*gt23L*Gt311 + Gt223*gt23L*Gt311 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + Gt213*gt22L*Gt313 + - Gt113*gt11L*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 + - Gt111*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + - gt12L*(2*Gt123*Gt211 + Gt112*Gt213 + Gt212*Gt223 + Gt113*Gt313 + Gt213*Gt323) + Gt311*Gt323*gt33L + - gt23L*SQR(Gt313)) + 2*gtu32*(gt11L*Gt122*Gt223 + Gt113*Gt212*gt22L + Gt213*Gt222*gt22L + Gt212*Gt223*gt22L + - 2*Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 + Gt223*gt22L*Gt313 + gt13L*Gt223*Gt322 + - Gt213*gt23L*Gt322 + gt11L*Gt123*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + - Gt112*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + - gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); - - CCTK_REAL const Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + - gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - - 2*gtu32*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + - gt13L*PDstandardNth3Xt3 + (Gt113*gt11L + gt12L*Gt213 + gt13L*Gt313)*Xtn1 + - (Gt111*gt13L + Gt211*gt23L + Gt311*gt33L)*Xtn1 + (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xtn2 + - (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xtn2 + (gt11L*Gt133 + gt12L*Gt233 + gt13L*Gt333)*Xtn3 + - (Gt113*gt13L + Gt213*gt23L + Gt313*gt33L)*Xtn3 + - 2*((Gt122*gt13L*Gt211 + 2*Gt113*gt12L*Gt212 + Gt112*gt12L*Gt213 + gt12L*Gt213*Gt222 + Gt212*Gt213*gt22L + - Gt211*Gt222*gt23L + Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + 2*Gt113*gt13L*Gt312 + Gt213*gt23L*Gt312 + - Gt112*gt13L*Gt313 + gt12L*Gt223*Gt313 + Gt212*gt23L*Gt313 + - gt11L*(2*Gt112*Gt113 + Gt122*Gt213 + Gt123*Gt313) + gt13L*Gt213*Gt322 + gt13L*Gt313*Gt323 + - Gt312*Gt313*gt33L + Gt211*Gt322*gt33L + Gt311*Gt323*gt33L + Gt111*(Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)) - *gtu21 + (Gt122*gt13L*Gt213 + gt11L*Gt122*Gt233 + Gt212*gt22L*Gt233 + Gt113*Gt212*gt23L + - Gt213*Gt222*gt23L + 2*Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + - gt13L*Gt233*Gt322 + gt11L*Gt123*Gt333 + Gt212*gt23L*Gt333 + gt13L*Gt323*Gt333 + - Gt112*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + - gt12L*(2*Gt133*Gt212 + Gt222*Gt233 + Gt223*Gt333) + Gt113*Gt312*gt33L + Gt213*Gt322*gt33L + - Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu32 + - gtu21*(2*Gt123*gt12L*Gt211 + Gt112*gt13L*Gt212 + gt12L*Gt212*Gt223 + Gt211*Gt223*gt22L + Gt112*Gt211*gt23L + - 2*Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + Gt113*gt13L*Gt312 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + - gt12L*Gt213*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 + - gt11L*(2*Gt111*Gt123 + Gt112*Gt223 + Gt113*Gt323) + Gt111*(Gt112*gt13L + gt12L*Gt223 + gt13L*Gt323) + - Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + Gt312*Gt313*gt33L + Gt311*Gt323*gt33L + gt23L*SQR(Gt212))) + - 2*gtu32*(Gt123*gt13L*Gt212 + 2*Gt123*gt12L*Gt213 + Gt113*gt12L*Gt223 + Gt213*Gt223*gt22L + Gt212*Gt223*gt23L + - Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + 2*Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + Gt113*gt13L*Gt323 + - gt13L*Gt223*Gt323 + gt12L*Gt233*Gt323 + Gt213*gt23L*Gt323 + - gt11L*(2*Gt113*Gt123 + Gt123*Gt223 + Gt133*Gt323) + gt13L*Gt323*Gt333 + Gt212*Gt323*gt33L + - Gt313*Gt323*gt33L + Gt312*Gt333*gt33L + Gt112*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + gt12L*SQR(Gt223)) + - 2*gtu11*(2*Gt113*gt12L*Gt211 + Gt112*gt13L*Gt211 + gt12L*Gt212*Gt213 + Gt211*Gt213*gt22L + Gt211*Gt212*gt23L + - 3*Gt113*gt13L*Gt311 + 2*Gt213*gt23L*Gt311 + gt13L*Gt213*Gt312 + gt12L*Gt213*Gt313 + Gt211*gt23L*Gt313 + - gt11L*(2*Gt111*Gt113 + Gt112*Gt213 + Gt113*Gt313) + Gt211*Gt312*gt33L + 2*Gt311*Gt313*gt33L + - Gt111*(gt12L*Gt213 + Gt211*gt23L + gt13L*Gt313 + Gt311*gt33L) + gt13L*SQR(Gt111) + gt13L*SQR(Gt313)) + - 2*gtu31*(Gt112*gt13L*Gt213 + Gt112*gt11L*Gt233 + Gt211*gt22L*Gt233 + Gt113*Gt211*gt23L + Gt212*Gt213*gt23L + - 2*Gt133*gt13L*Gt311 + Gt233*gt23L*Gt311 + gt13L*Gt233*Gt312 + Gt113*gt13L*Gt313 + Gt213*gt23L*Gt313 + - Gt113*gt11L*Gt333 + Gt211*gt23L*Gt333 + gt13L*Gt313*Gt333 + - Gt111*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + - gt12L*(2*Gt133*Gt211 + Gt212*Gt233 + Gt213*Gt333) + Gt113*Gt311*gt33L + Gt213*Gt312*gt33L + - Gt311*Gt333*gt33L + gt33L*SQR(Gt313)) + - 2*gtu31*(Gt123*gt13L*Gt211 + 3*Gt113*gt12L*Gt213 + gt12L*Gt213*Gt223 + Gt211*Gt223*gt23L + Gt133*gt13L*Gt311 + - Gt233*gt23L*Gt311 + 3*Gt113*gt13L*Gt313 + gt12L*Gt233*Gt313 + 2*Gt213*gt23L*Gt313 + gt13L*Gt213*Gt323 + - gt13L*Gt313*Gt333 + Gt211*Gt323*gt33L + Gt311*Gt333*gt33L + Gt111*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + - gt11L*(Gt123*Gt213 + Gt133*Gt313 + 2*SQR(Gt113)) + gt22L*SQR(Gt213) + gt33L*SQR(Gt313)) + - 2*gtu22*(2*Gt123*gt12L*Gt212 + Gt122*gt13L*Gt212 + gt12L*Gt222*Gt223 + Gt212*Gt223*gt22L + Gt212*Gt222*gt23L + - 3*Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + gt13L*Gt223*Gt322 + gt12L*Gt223*Gt323 + Gt212*gt23L*Gt323 + - gt11L*(2*Gt112*Gt123 + Gt122*Gt223 + Gt123*Gt323) + Gt212*Gt322*gt33L + 2*Gt312*Gt323*gt33L + - Gt112*(gt12L*Gt223 + Gt212*gt23L + gt13L*Gt323 + Gt312*gt33L) + gt13L*SQR(Gt112) + gt13L*SQR(Gt323)) + - 2*gtu33*(2*gt12L*Gt133*Gt213 + Gt123*gt13L*Gt213 + gt11L*Gt123*Gt233 + gt12L*Gt223*Gt233 + Gt213*gt22L*Gt233 + - Gt213*Gt223*gt23L + 3*Gt133*gt13L*Gt313 + 2*Gt233*gt23L*Gt313 + gt13L*Gt233*Gt323 + gt11L*Gt133*Gt333 + - gt12L*Gt233*Gt333 + Gt213*gt23L*Gt333 + Gt213*Gt323*gt33L + 2*Gt313*Gt333*gt33L + - Gt113*(2*gt11L*Gt133 + gt12L*Gt233 + Gt213*gt23L + gt13L*Gt333 + Gt313*gt33L) + gt13L*SQR(Gt113) + - gt13L*SQR(Gt333))); - - CCTK_REAL const Rt22 = 4*(Gt122*gt12L*Gt212*gtu21 + Gt112*gt12L*Gt222*gtu21 + Gt122*gt12L*Gt222*gtu22 + Gt123*gt12L*Gt212*gtu31 + - Gt123*gt12L*Gt222*gtu32 + Gt123*gt12L*Gt223*gtu33) - gtu11*khalf*PDstandardNth11gt22 + - gtu21*(6*Gt212*Gt222*gt22L + 2*Gt122*gt23L*Gt311 + 2*Gt122*gt13L*Gt312 + 4*Gt222*gt23L*Gt312 + - 2*Gt113*gt12L*Gt322 + 2*gt23L*Gt312*Gt323 + 2*Gt312*Gt322*gt33L - PDstandardNth12gt22) + - gtu31*(6*Gt212*Gt223*gt22L + 2*Gt123*gt13L*Gt312 + 2*Gt112*gt23L*Gt313 + 2*Gt113*gt12L*Gt323 + - 2*gt23L*Gt312*Gt333 + 2*Gt312*Gt323*gt33L - PDstandardNth13gt22) - gtu22*khalf*PDstandardNth22gt22 + - gtu32*(4*Gt122*gt12L*Gt223 + 2*Gt123*Gt212*gt22L + 2*gt12L*Gt133*Gt322 + 4*Gt223*gt23L*Gt322 + - 2*Gt123*gt12L*Gt323 + 4*Gt222*gt23L*Gt323 + 2*gt23L*Gt322*Gt333 + 2*Gt322*Gt323*gt33L - PDstandardNth23gt22) + - gt12L*(2*Gt111*Gt123*gtu31 + 4*Gt112*Gt223*gtu31 + 2*Gt113*Gt122*gtu32 + 2*Gt113*Gt123*gtu33 + PDstandardNth2Xt1) + - gt22L*(2*Gt122*Gt213*gtu32 + 6*Gt222*Gt223*gtu32 + 2*Gt123*Gt213*gtu33 + PDstandardNth2Xt2) + - gt23L*(4*Gt212*Gt322*gtu21 + 2*Gt313*Gt322*gtu21 + 4*Gt222*Gt322*gtu22 + 2*Gt123*Gt311*gtu31 + - 4*Gt212*Gt323*gtu31 + 2*Gt313*Gt323*gtu31 + 2*Gt122*Gt313*gtu32 + 2*Gt123*Gt313*gtu33 + 4*Gt223*Gt323*gtu33 + - 2*Gt323*Gt333*gtu33 + PDstandardNth2Xt3) - gtu33*khalf*PDstandardNth33gt22 + Gt212*gt22L*Xtn1 + - Gt112*(2*Gt111*gt12L*gtu11 + 4*gt12L*Gt212*gtu11 + 2*gt11L*Gt122*gtu21 + 2*Gt122*gt12L*gtu22 + - 2*gt11L*Gt123*gtu31 + 2*Gt123*gt12L*gtu32 + gt12L*Xtn1) + - Gt312*(2*Gt213*gt22L*gtu11 + 4*Gt212*gt23L*gtu11 + 2*gt23L*Gt313*gtu11 + 2*Gt123*gt12L*gtu21 + - 2*Gt122*gt23L*gtu22 + 2*gt12L*Gt133*gtu31 + 2*gt22L*Gt233*gtu31 + 4*Gt223*gt23L*gtu31 + 2*Gt123*gt23L*gtu32 + - gt23L*Xtn1) + Gt122*gt12L*Xtn2 + Gt222*gt22L*Xtn2 + gt23L*Gt322*Xtn2 + Gt123*gt12L*Xtn3 + Gt223*gt22L*Xtn3 + - gt23L*Gt323*Xtn3 + gt11L*gtu11*SQR(Gt112) + 2* - (Gt112*Gt211*gt22L*gtu11 + Gt112*gt23L*Gt311*gtu11 + Gt113*gt12L*Gt312*gtu11 + Gt112*gt13L*Gt312*gtu11 + - Gt111*Gt122*gt12L*gtu21 + Gt122*Gt211*gt22L*gtu21 + Gt112*Gt212*gt22L*gtu21 + Gt223*gt22L*Gt312*gtu21 + - Gt112*gt23L*Gt312*gtu21 + Gt112*gt13L*Gt322*gtu21 + Gt213*gt22L*Gt322*gtu21 + Gt122*Gt212*gt22L*gtu22 + - Gt123*gt12L*Gt322*gtu22 + Gt122*gt13L*Gt322*gtu22 + Gt223*gt22L*Gt322*gtu22 + gt23L*Gt322*Gt323*gtu22 + - Gt112*Gt113*gt12L*gtu31 + Gt123*Gt211*gt22L*gtu31 + Gt112*Gt213*gt22L*gtu31 + Gt112*gt13L*Gt323*gtu31 + - Gt213*gt22L*Gt323*gtu31 + gt11L*Gt122*Gt123*gtu32 + Gt123*gt13L*Gt322*gtu32 + gt22L*Gt233*Gt322*gtu32 + - Gt122*gt13L*Gt323*gtu32 + Gt223*gt22L*Gt323*gtu32 + gt12L*Gt133*Gt323*gtu33 + Gt123*gt13L*Gt323*gtu33 + - gt22L*Gt233*Gt323*gtu33 + gt12L*gtu21*SQR(Gt112)) + gt11L*gtu22*SQR(Gt122) + gt11L*gtu33*SQR(Gt123) + - 3*gt22L*gtu11*SQR(Gt212) + 3*gt22L*gtu22*SQR(Gt222) + 3*gt22L*gtu33*SQR(Gt223) + gt33L*gtu11*SQR(Gt312) + - gt33L*gtu22*SQR(Gt322) + 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); - - CCTK_REAL const Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - - gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + - gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + - gt23L*PDstandardNth3Xt3 + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xtn1 + - (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xtn1 + (Gt123*gt12L + Gt223*gt22L + gt23L*Gt323)*Xtn2 + - (Gt122*gt13L + Gt222*gt23L + Gt322*gt33L)*Xtn2 + (gt12L*Gt133 + gt22L*Gt233 + gt23L*Gt333)*Xtn3 + - (Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)*Xtn3 + - 2*((Gt112*gt11L*Gt123 + Gt111*Gt123*gt12L + Gt111*Gt122*gt13L + Gt123*gt12L*Gt212 + Gt112*gt13L*Gt222 + - 2*Gt112*gt12L*Gt223 + Gt123*Gt211*gt22L + 2*Gt212*Gt223*gt22L + Gt122*Gt211*gt23L + Gt212*Gt222*gt23L + - Gt123*gt23L*Gt311 + Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + Gt113*gt13L*Gt322 + Gt213*gt23L*Gt322 + - Gt113*gt12L*Gt323 + Gt112*gt13L*Gt323 + Gt213*gt22L*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + - Gt122*Gt311*gt33L + Gt222*Gt312*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L)*gtu21 + - (Gt112*gt11L*Gt133 + Gt111*gt12L*Gt133 + Gt111*Gt123*gt13L + gt12L*Gt133*Gt212 + Gt112*gt13L*Gt223 + - Gt133*Gt211*gt22L + 2*Gt112*gt12L*Gt233 + 2*Gt212*gt22L*Gt233 + Gt123*Gt211*gt23L + Gt212*Gt223*gt23L + - Gt133*gt23L*Gt311 + Gt133*gt13L*Gt312 + 2*Gt233*gt23L*Gt312 + Gt113*gt13L*Gt323 + Gt213*gt23L*Gt323 + - Gt113*gt12L*Gt333 + Gt112*gt13L*Gt333 + Gt213*gt22L*Gt333 + Gt212*gt23L*Gt333 + gt23L*Gt313*Gt333 + - Gt123*Gt311*gt33L + Gt223*Gt312*gt33L + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu31 + - gtu21*(Gt113*gt11L*Gt122 + Gt122*gt13L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + Gt113*Gt212*gt22L + - 2*Gt213*Gt222*gt22L + Gt212*Gt222*gt23L + Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 + - Gt123*gt12L*Gt313 + Gt122*gt13L*Gt313 + Gt223*gt22L*Gt313 + Gt222*gt23L*Gt313 + Gt113*gt13L*Gt322 + - 2*Gt213*gt23L*Gt322 + gt23L*Gt313*Gt323 + Gt212*Gt322*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L + - Gt112*(Gt113*gt12L + Gt212*gt23L + Gt312*gt33L) + gt13L*SQR(Gt112))) + - 2*gtu31*(2*Gt213*Gt223*gt22L + Gt112*Gt213*gt23L + Gt212*Gt223*gt23L + Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + - gt12L*Gt133*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + Gt123*(2*gt12L*Gt213 + gt13L*(Gt212 + Gt313)) + - 2*Gt213*gt23L*Gt323 + Gt113*(gt11L*Gt123 + Gt112*gt13L + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + - gt13L*Gt323) + gt23L*Gt313*Gt333 + Gt112*Gt313*gt33L + Gt212*Gt323*gt33L + Gt313*Gt323*gt33L + - Gt312*Gt333*gt33L + gt12L*SQR(Gt113)) + - 2*gtu11*(Gt112*Gt113*gt11L + Gt111*Gt113*gt12L + Gt111*Gt112*gt13L + Gt113*gt12L*Gt212 + Gt112*gt13L*Gt212 + - 2*Gt112*gt12L*Gt213 + Gt113*Gt211*gt22L + 2*Gt212*Gt213*gt22L + Gt112*Gt211*gt23L + Gt113*gt23L*Gt311 + - 2*Gt113*gt13L*Gt312 + 3*Gt213*gt23L*Gt312 + Gt113*gt12L*Gt313 + Gt112*gt13L*Gt313 + Gt213*gt22L*Gt313 + - Gt212*gt23L*Gt313 + Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + 2*Gt312*Gt313*gt33L + gt23L*SQR(Gt212) + - gt23L*SQR(Gt313)) + 2*gtu22*(gt11L*Gt122*Gt123 + Gt112*Gt123*gt12L + Gt112*Gt122*gt13L + Gt123*gt12L*Gt222 + - Gt122*gt13L*Gt222 + 2*Gt122*gt12L*Gt223 + Gt123*Gt212*gt22L + 2*Gt222*Gt223*gt22L + Gt122*Gt212*gt23L + - Gt123*gt23L*Gt312 + 2*Gt123*gt13L*Gt322 + 3*Gt223*gt23L*Gt322 + Gt123*gt12L*Gt323 + Gt122*gt13L*Gt323 + - Gt223*gt22L*Gt323 + Gt222*gt23L*Gt323 + Gt122*Gt312*gt33L + Gt222*Gt322*gt33L + 2*Gt322*Gt323*gt33L + - gt23L*SQR(Gt222) + gt23L*SQR(Gt323)) + 2*gtu32* - (gt11L*Gt122*Gt133 + Gt112*gt12L*Gt133 + Gt112*Gt123*gt13L + gt12L*Gt133*Gt222 + Gt122*gt13L*Gt223 + - Gt133*Gt212*gt22L + 2*Gt122*gt12L*Gt233 + 2*Gt222*gt22L*Gt233 + Gt123*Gt212*gt23L + Gt222*Gt223*gt23L + - Gt133*gt23L*Gt312 + Gt133*gt13L*Gt322 + 2*Gt233*gt23L*Gt322 + Gt123*gt13L*Gt323 + Gt223*gt23L*Gt323 + - Gt123*gt12L*Gt333 + Gt122*gt13L*Gt333 + Gt223*gt22L*Gt333 + Gt222*gt23L*Gt333 + gt23L*Gt323*Gt333 + - Gt123*Gt312*gt33L + Gt223*Gt322*gt33L + Gt322*Gt333*gt33L + gt33L*SQR(Gt323)) + - 2*gtu32*(Gt113*Gt123*gt12L + Gt113*Gt122*gt13L + Gt123*gt13L*Gt222 + 3*Gt123*gt12L*Gt223 + Gt123*Gt213*gt22L + - Gt122*Gt213*gt23L + Gt222*Gt223*gt23L + Gt123*gt23L*Gt313 + Gt133*gt13L*Gt322 + Gt233*gt23L*Gt322 + - gt12L*Gt133*Gt323 + 2*Gt123*gt13L*Gt323 + gt22L*Gt233*Gt323 + 3*Gt223*gt23L*Gt323 + gt23L*Gt323*Gt333 + - Gt122*Gt313*gt33L + Gt222*Gt323*gt33L + Gt322*Gt333*gt33L + gt11L*SQR(Gt123) + 2*gt22L*SQR(Gt223) + - gt33L*SQR(Gt323)) + 2*gtu33*(gt11L*Gt123*Gt133 + Gt113*gt12L*Gt133 + Gt113*Gt123*gt13L + gt12L*Gt133*Gt223 + - Gt123*gt13L*Gt223 + Gt133*Gt213*gt22L + 2*Gt123*gt12L*Gt233 + 2*Gt223*gt22L*Gt233 + Gt123*Gt213*gt23L + - Gt133*gt23L*Gt313 + 2*Gt133*gt13L*Gt323 + 3*Gt233*gt23L*Gt323 + gt12L*Gt133*Gt333 + Gt123*gt13L*Gt333 + - gt22L*Gt233*Gt333 + Gt223*gt23L*Gt333 + Gt123*Gt313*gt33L + Gt223*Gt323*gt33L + 2*Gt323*Gt333*gt33L + - gt23L*SQR(Gt223) + gt23L*SQR(Gt333))); - - CCTK_REAL const Rt33 = 4*(Gt123*gt13L*Gt323*gtu22 + Gt223*gt23L*Gt323*gtu22 + Gt133*gt13L*Gt313*gtu31 + Gt233*gt23L*Gt313*gtu31 + - Gt113*gt13L*Gt333*gtu31 + Gt133*gt13L*Gt323*gtu32 + Gt233*gt23L*Gt323*gtu32 + Gt123*gt13L*Gt333*gtu32 + - Gt133*gt13L*Gt333*gtu33) + gtu21*(2*Gt212*Gt223*gt23L + 4*Gt123*gt13L*Gt313 + 4*Gt223*gt23L*Gt313 + - 4*Gt113*gt13L*Gt323 + 4*Gt213*gt23L*Gt323 + 2*Gt123*Gt311*gt33L - PDstandardNth12gt33) + - gtu31*(4*Gt213*gt23L*Gt333 + 2*Gt233*Gt312*gt33L + 6*Gt313*Gt333*gt33L - PDstandardNth13gt33) - - gtu22*khalf*PDstandardNth22gt33 + gtu32*(4*Gt223*gt23L*Gt333 + 2*Gt123*Gt313*gt33L + 6*Gt323*Gt333*gt33L - - PDstandardNth23gt33) - gtu33*khalf*PDstandardNth33gt33 + gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + - gt33L*(2*Gt213*Gt322*gtu21 + 6*Gt313*Gt323*gtu21 + 2*Gt123*Gt312*gtu22 + 2*Gt133*Gt311*gtu31 + - 2*Gt133*Gt312*gtu32 + 2*Gt133*Gt313*gtu33 + PDstandardNth3Xt3) + Gt113*gt13L*Xtn1 + Gt213*gt23L*Xtn1 + - Gt313*gt33L*Xtn1 + Gt123*gt13L*Xtn2 + Gt223*gt23L*Xtn2 + Gt323*gt33L*Xtn2 + Gt133*gt13L*Xtn3 + Gt333*gt33L*Xtn3 + - Gt233*(4*gt23L*Gt333*gtu33 + 2*Gt323*gt33L*gtu33 + gt23L*Xtn3) + - gtu11*(2*Gt212*Gt213*gt23L + 4*Gt113*gt13L*Gt313 + 4*Gt213*gt23L*Gt313 + 2*Gt113*Gt311*gt33L + - 2*Gt213*Gt312*gt33L - khalf*PDstandardNth11gt33 + gt11L*SQR(Gt113)) + - 2*(Gt111*Gt113*gt13L*gtu11 + Gt113*gt12L*Gt213*gtu11 + Gt112*gt13L*Gt213*gtu11 + Gt113*Gt211*gt23L*gtu11 + - Gt113*gt11L*Gt123*gtu21 + Gt112*Gt113*gt13L*gtu21 + Gt111*Gt123*gt13L*gtu21 + Gt123*gt12L*Gt213*gtu21 + - Gt122*gt13L*Gt213*gtu21 + Gt113*gt12L*Gt223*gtu21 + Gt112*gt13L*Gt223*gtu21 + Gt213*Gt223*gt22L*gtu21 + - Gt123*Gt211*gt23L*gtu21 + Gt113*Gt212*gt23L*gtu21 + Gt213*Gt222*gt23L*gtu21 + Gt113*Gt312*gt33L*gtu21 + - Gt223*Gt312*gt33L*gtu21 + Gt112*Gt123*gt13L*gtu22 + Gt123*gt12L*Gt223*gtu22 + Gt122*gt13L*Gt223*gtu22 + - Gt123*Gt212*gt23L*gtu22 + Gt222*Gt223*gt23L*gtu22 + Gt223*Gt322*gt33L*gtu22 + Gt113*gt11L*Gt133*gtu31 + - Gt111*Gt133*gt13L*gtu31 + gt12L*Gt133*Gt213*gtu31 + Gt123*gt13L*Gt213*gtu31 + Gt113*gt12L*Gt233*gtu31 + - Gt112*gt13L*Gt233*gtu31 + Gt213*gt22L*Gt233*gtu31 + Gt133*Gt211*gt23L*gtu31 + Gt113*Gt213*gt23L*gtu31 + - Gt213*Gt223*gt23L*gtu31 + Gt212*Gt233*gt23L*gtu31 + Gt113*Gt313*gt33L*gtu31 + Gt213*Gt323*gt33L*gtu31 + - gt11L*Gt123*Gt133*gtu32 + Gt113*Gt123*gt13L*gtu32 + Gt112*Gt133*gt13L*gtu32 + gt12L*Gt133*Gt223*gtu32 + - Gt123*gt13L*Gt223*gtu32 + Gt123*gt12L*Gt233*gtu32 + Gt122*gt13L*Gt233*gtu32 + Gt223*gt22L*Gt233*gtu32 + - Gt133*Gt212*gt23L*gtu32 + Gt123*Gt213*gt23L*gtu32 + Gt222*Gt233*gt23L*gtu32 + Gt233*Gt322*gt33L*gtu32 + - Gt223*Gt323*gt33L*gtu32 + Gt113*Gt133*gt13L*gtu33 + gt12L*Gt133*Gt233*gtu33 + Gt123*gt13L*Gt233*gtu33 + - Gt133*Gt213*gt23L*gtu33 + Gt223*Gt233*gt23L*gtu33 + gt13L*gtu31*SQR(Gt113)) + gt11L*gtu22*SQR(Gt123) + - gt11L*gtu33*SQR(Gt133) + gt22L*gtu11*SQR(Gt213) + gt22L*gtu22*SQR(Gt223) + 2*gt23L*gtu32*SQR(Gt223) + - gt22L*gtu33*SQR(Gt233) + 3*gt33L*gtu11*SQR(Gt313) + 3*gt33L*gtu22*SQR(Gt323) + 3*gt33L*gtu33*SQR(Gt333); - - CCTK_REAL const fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - CCTK_REAL const cdphi1 = fac1*PDstandardNth1phi; - - CCTK_REAL const cdphi2 = fac1*PDstandardNth2phi; - - CCTK_REAL const cdphi3 = fac1*PDstandardNth3phi; - - CCTK_REAL const fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - - CCTK_REAL const cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + - Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); - - CCTK_REAL const cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - - fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); + CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL const cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - - fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); + CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL const cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + - Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); + CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL const cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - - fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); + CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL const cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + Gt233*PDstandardNth2phi - PDstandardNth33phi + - Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); + CCTK_REAL Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - CCTK_REAL const Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + - gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + - gtu22*(cdphi222 + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); + CCTK_REAL Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + + gtu21*(2*Gt211*Gt212*gt22L + 4*Gt112*gt13L*Gt311 + 2*Gt113*gt11L*Gt312 + + 2*gt13L*Gt312*Gt313 + 2*gt13L*Gt211*Gt322 + 2*gt13L*Gt311*Gt323 + + 2*Gt311*Gt312*gt33L - PDstandardNth12gt11) - gtu31*PDstandardNth13gt11 + + gt11L*PDstandardNth1Xt1 + gt12L*(4*Gt111*Gt212*gtu21 + + 2*Gt211*Gt222*gtu21 + 2*Gt212*Gt222*gtu22 + 4*Gt113*Gt211*gtu31 + + 4*Gt113*Gt212*gtu32 + 4*Gt113*Gt213*gtu33 + PDstandardNth1Xt2) + + gt13L*(4*Gt111*Gt312*gtu21 + 2*Gt212*Gt312*gtu21 + 4*Gt112*Gt312*gtu22 + + 4*Gt113*Gt311*gtu31 + 4*Gt113*Gt312*gtu32 + 4*Gt113*Gt313*gtu33 + + PDstandardNth1Xt3) - gtu22*khalf*PDstandardNth22gt11 - + gtu32*PDstandardNth23gt11 - gtu33*khalf*PDstandardNth33gt11 + + Gt111*(6*Gt113*gt11L*gtu31 + 4*gt12L*Gt213*gtu31 + gt11L*Xtn1) + + Gt211*(2*Gt112*gt11L*gtu11 + 4*Gt111*gt12L*gtu11 + 2*gt11L*Gt122*gtu21 + + 2*gt11L*Gt123*gtu31 + gt12L*Xtn1) + Gt311*(4*Gt111*gt13L*gtu11 + + 2*gt12L*Gt213*gtu11 + 2*gt13L*Gt313*gtu11 + 2*gt11L*Gt123*gtu21 + + 2*gt11L*Gt133*gtu31 + gt13L*Xtn1) + gt12L*Gt212*Xtn2 + gt13L*Gt312*Xtn2 + + Gt112*(6*Gt111*gt11L*gtu21 + 4*gt12L*Gt211*gtu21 + + 4*gt12L*Gt212*gtu22 + 2*gt11L*Gt213*gtu31 + 6*Gt113*gt11L*gtu32 + + gt11L*Xtn2) + Gt113*gt11L*Xtn3 + Gt213*(2*gt11L*Gt122*gtu32 + + 4*Gt112*gt12L*gtu32 + 2*gt11L*Gt123*gtu33 + gt12L*Xtn3) + + Gt313*(4*Gt111*gt13L*gtu31 + 2*gt12L*Gt213*gtu31 + 2*gt11L*Gt123*gtu32 + + 4*Gt112*gt13L*gtu32 + 2*gt12L*Gt223*gtu32 + 2*gt11L*Gt133*gtu33 + + gt13L*Xtn3) + 3*gt11L*gtu11*SQR(Gt111) + 3*gt11L*gtu22*SQR(Gt112) + + 3*gt11L*gtu33*SQR(Gt113) + gt22L*gtu11*SQR(Gt211) + + gt22L*gtu22*SQR(Gt212) + 2*(gt12L*Gt211*Gt212*gtu11 + + Gt113*gt11L*Gt311*gtu11 + Gt211*gt23L*Gt311*gtu11 + + gt13L*Gt211*Gt312*gtu11 + Gt112*gt11L*Gt212*gtu21 + + gt12L*Gt223*Gt311*gtu21 + Gt212*gt23L*Gt311*gtu21 + + gt12L*Gt213*Gt312*gtu21 + Gt211*gt23L*Gt312*gtu21 + + gt11L*Gt122*Gt212*gtu22 + gt11L*Gt123*Gt312*gtu22 + + gt12L*Gt223*Gt312*gtu22 + Gt212*gt23L*Gt312*gtu22 + + gt13L*Gt212*Gt322*gtu22 + gt13L*Gt312*Gt323*gtu22 + + gt12L*Gt212*Gt213*gtu31 + gt12L*Gt211*Gt223*gtu31 + + Gt211*Gt213*gt22L*gtu31 + gt12L*Gt233*Gt311*gtu31 + + Gt213*gt23L*Gt311*gtu31 + gt13L*Gt213*Gt312*gtu31 + + Gt113*gt11L*Gt313*gtu31 + Gt211*gt23L*Gt313*gtu31 + + gt13L*Gt211*Gt323*gtu31 + gt13L*Gt311*Gt333*gtu31 + + Gt311*Gt313*gt33L*gtu31 + gt11L*Gt123*Gt212*gtu32 + + gt12L*Gt213*Gt222*gtu32 + gt12L*Gt212*Gt223*gtu32 + + Gt212*Gt213*gt22L*gtu32 + gt11L*Gt133*Gt312*gtu32 + + gt12L*Gt233*Gt312*gtu32 + Gt213*gt23L*Gt312*gtu32 + + Gt212*gt23L*Gt313*gtu32 + gt13L*Gt213*Gt322*gtu32 + + gt13L*Gt212*Gt323*gtu32 + gt13L*Gt313*Gt323*gtu32 + + gt13L*Gt312*Gt333*gtu32 + Gt312*Gt313*gt33L*gtu32 + + gt12L*Gt213*Gt223*gtu33 + gt12L*Gt233*Gt313*gtu33 + + Gt213*gt23L*Gt313*gtu33 + gt13L*Gt213*Gt323*gtu33 + + gt13L*Gt313*Gt333*gtu33 + gt12L*gtu21*SQR(Gt212)) + + gt22L*gtu33*SQR(Gt213) + gt33L*gtu11*SQR(Gt311) + + gt33L*gtu22*SQR(Gt312) + 2*gt13L*gtu31*SQR(Gt313) + + gt33L*gtu33*SQR(Gt313); + + CCTK_REAL Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - + 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - + 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - + gtu33*PDstandardNth33gt12 + (Gt111*gt12L + Gt211*gt22L + + gt23L*Gt311)*Xtn1 + (Gt112*gt11L + gt12L*Gt212 + gt13L*Gt312)*Xtn1 + + (Gt112*gt12L + Gt212*gt22L + gt23L*Gt312)*Xtn2 + (gt11L*Gt122 + + gt12L*Gt222 + gt13L*Gt322)*Xtn2 + (Gt113*gt12L + Gt213*gt22L + + gt23L*Gt313)*Xtn3 + (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xtn3 + + 2*gtu21*(Gt112*gt11L*Gt222 + Gt112*Gt211*gt22L + Gt211*Gt222*gt22L + + 2*Gt122*gt13L*Gt311 + Gt112*gt23L*Gt311 + Gt222*gt23L*Gt311 + + gt13L*Gt222*Gt312 + Gt213*gt22L*Gt312 + Gt212*gt23L*Gt312 + + gt23L*Gt312*Gt313 + Gt113*gt11L*Gt322 + Gt211*gt23L*Gt322 + + gt13L*Gt313*Gt322 + Gt111*(2*gt11L*Gt122 + Gt112*gt12L + gt12L*Gt222 + + gt13L*Gt322) + gt12L*(2*Gt122*Gt211 + Gt112*Gt212 + Gt212*Gt222 + + Gt113*Gt312 + Gt213*Gt322) + Gt311*Gt322*gt33L + gt22L*SQR(Gt212)) + + 2*((Gt123*gt12L*Gt211 + Gt113*gt12L*Gt212 + 2*Gt112*gt12L*Gt213 + + gt12L*Gt212*Gt223 + Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + + gt12L*Gt133*Gt311 + gt22L*Gt233*Gt311 + Gt113*gt13L*Gt312 + + gt12L*Gt233*Gt312 + Gt213*gt23L*Gt312 + gt11L*(2*Gt112*Gt113 + + Gt123*Gt212 + Gt133*Gt312) + 2*Gt112*gt13L*Gt313 + Gt212*gt23L*Gt313 + + Gt111*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + gt13L*Gt212*Gt323 + + Gt211*gt23L*Gt323 + gt23L*Gt311*Gt333 + gt13L*Gt312*Gt333 + + Gt312*Gt313*gt33L)*gtu31 + (Gt123*gt12L*Gt212 + 2*Gt122*gt12L*Gt213 + + Gt113*gt12L*Gt222 + gt12L*Gt222*Gt223 + Gt213*Gt222*gt22L + + Gt212*Gt223*gt22L + gt12L*Gt133*Gt312 + gt22L*Gt233*Gt312 + + 2*Gt122*gt13L*Gt313 + Gt222*gt23L*Gt313 + Gt112*(Gt113*gt12L + + Gt213*gt22L + gt23L*Gt313) + Gt113*gt13L*Gt322 + gt12L*Gt233*Gt322 + + Gt213*gt23L*Gt322 + gt11L*(2*Gt113*Gt122 + Gt123*Gt222 + Gt133*Gt322) + + gt13L*Gt222*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt312*Gt333 + + gt13L*Gt322*Gt333 + Gt313*Gt322*gt33L)*gtu32 + + gtu11*(3*Gt112*gt12L*Gt211 + 2*Gt211*Gt212*gt22L + Gt113*gt12L*Gt311 + + 2*Gt112*gt13L*Gt311 + Gt213*gt22L*Gt311 + Gt212*gt23L*Gt311 + + gt13L*Gt212*Gt312 + gt12L*Gt213*Gt312 + 2*Gt211*gt23L*Gt312 + + gt11L*(2*Gt111*Gt112 + Gt112*Gt212 + Gt113*Gt312) + Gt111*(gt12L*Gt212 + + Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt23L*Gt311*Gt313 + + gt13L*Gt312*Gt313 + Gt311*Gt312*gt33L + gt12L*SQR(Gt111) + + gt12L*SQR(Gt212))) + 2*gtu22*(gt11L*Gt122*Gt222 + 2*Gt212*Gt222*gt22L + + 2*Gt122*gt13L*Gt312 + Gt223*gt22L*Gt312 + Gt222*gt23L*Gt312 + + gt11L*Gt123*Gt322 + gt13L*Gt222*Gt322 + 2*Gt212*gt23L*Gt322 + + Gt112*(2*gt11L*Gt122 + gt12L*Gt222 + Gt212*gt22L + gt23L*Gt312 + + gt13L*Gt322) + gt23L*Gt312*Gt323 + gt13L*Gt322*Gt323 + + Gt312*Gt322*gt33L + gt12L*SQR(Gt112) + gt12L*(3*Gt122*Gt212 + + Gt123*Gt312 + Gt223*Gt322 + SQR(Gt222))) + 2*gtu33*(gt11L*Gt123*Gt223 + + 2*Gt213*Gt223*gt22L + 2*Gt123*gt13L*Gt313 + gt22L*Gt233*Gt313 + + Gt223*gt23L*Gt313 + gt11L*Gt133*Gt323 + gt13L*Gt223*Gt323 + + 2*Gt213*gt23L*Gt323 + Gt113*(2*gt11L*Gt123 + gt12L*Gt223 + Gt213*gt22L + + gt23L*Gt313 + gt13L*Gt323) + gt23L*Gt313*Gt333 + gt13L*Gt323*Gt333 + + Gt313*Gt323*gt33L + gt12L*SQR(Gt113) + gt12L*(3*Gt123*Gt213 + + Gt133*Gt313 + Gt233*Gt323 + SQR(Gt223))) + 2*gtu21*(Gt122*gt12L*Gt211 + + 3*Gt112*gt12L*Gt212 + gt12L*Gt212*Gt222 + Gt211*Gt222*gt22L + + Gt123*gt12L*Gt311 + Gt223*gt22L*Gt311 + 3*Gt112*gt13L*Gt312 + + gt12L*Gt223*Gt312 + 2*Gt212*gt23L*Gt312 + Gt111*(Gt112*gt12L + + Gt212*gt22L + gt23L*Gt312) + gt13L*Gt212*Gt322 + Gt211*gt23L*Gt322 + + gt23L*Gt311*Gt323 + gt13L*Gt312*Gt323 + gt11L*(Gt122*Gt212 + + Gt123*Gt312 + 2*SQR(Gt112)) + gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) + + 2*gtu31*(Gt112*gt11L*Gt223 + Gt113*Gt211*gt22L + Gt212*Gt213*gt22L + + Gt211*Gt223*gt22L + 2*Gt123*gt13L*Gt311 + Gt113*gt23L*Gt311 + + Gt223*gt23L*Gt311 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + + Gt213*gt22L*Gt313 + Gt113*gt11L*Gt323 + Gt211*gt23L*Gt323 + + gt13L*Gt313*Gt323 + Gt111*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + + gt13L*Gt323) + gt12L*(2*Gt123*Gt211 + Gt112*Gt213 + Gt212*Gt223 + + Gt113*Gt313 + Gt213*Gt323) + Gt311*Gt323*gt33L + gt23L*SQR(Gt313)) + + 2*gtu32*(gt11L*Gt122*Gt223 + Gt113*Gt212*gt22L + Gt213*Gt222*gt22L + + Gt212*Gt223*gt22L + 2*Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + + Gt223*gt23L*Gt312 + Gt223*gt22L*Gt313 + gt13L*Gt223*Gt322 + + Gt213*gt23L*Gt322 + gt11L*Gt123*Gt323 + Gt212*gt23L*Gt323 + + gt23L*Gt313*Gt323 + Gt112*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + + gt13L*Gt323) + gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); + + CCTK_REAL Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - + 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + + gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - + 2*gtu32*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + + gt13L*PDstandardNth3Xt3 + (Gt113*gt11L + gt12L*Gt213 + + gt13L*Gt313)*Xtn1 + (Gt111*gt13L + Gt211*gt23L + Gt311*gt33L)*Xtn1 + + (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xtn2 + (Gt112*gt13L + + Gt212*gt23L + Gt312*gt33L)*Xtn2 + (gt11L*Gt133 + gt12L*Gt233 + + gt13L*Gt333)*Xtn3 + (Gt113*gt13L + Gt213*gt23L + Gt313*gt33L)*Xtn3 + + 2*((Gt122*gt13L*Gt211 + 2*Gt113*gt12L*Gt212 + Gt112*gt12L*Gt213 + + gt12L*Gt213*Gt222 + Gt212*Gt213*gt22L + Gt211*Gt222*gt23L + + Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + 2*Gt113*gt13L*Gt312 + + Gt213*gt23L*Gt312 + Gt112*gt13L*Gt313 + gt12L*Gt223*Gt313 + + Gt212*gt23L*Gt313 + gt11L*(2*Gt112*Gt113 + Gt122*Gt213 + Gt123*Gt313) + + gt13L*Gt213*Gt322 + gt13L*Gt313*Gt323 + Gt312*Gt313*gt33L + + Gt211*Gt322*gt33L + Gt311*Gt323*gt33L + Gt111*(Gt112*gt13L + + Gt212*gt23L + Gt312*gt33L))*gtu21 + (Gt122*gt13L*Gt213 + + gt11L*Gt122*Gt233 + Gt212*gt22L*Gt233 + Gt113*Gt212*gt23L + + Gt213*Gt222*gt23L + 2*Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + + Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + gt13L*Gt233*Gt322 + + gt11L*Gt123*Gt333 + Gt212*gt23L*Gt333 + gt13L*Gt323*Gt333 + + Gt112*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + + gt12L*(2*Gt133*Gt212 + Gt222*Gt233 + Gt223*Gt333) + Gt113*Gt312*gt33L + + Gt213*Gt322*gt33L + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu32 + + gtu21*(2*Gt123*gt12L*Gt211 + Gt112*gt13L*Gt212 + gt12L*Gt212*Gt223 + + Gt211*Gt223*gt22L + Gt112*Gt211*gt23L + 2*Gt123*gt13L*Gt311 + + Gt223*gt23L*Gt311 + Gt113*gt13L*Gt312 + gt13L*Gt223*Gt312 + + Gt213*gt23L*Gt312 + gt12L*Gt213*Gt323 + Gt211*gt23L*Gt323 + + gt13L*Gt313*Gt323 + gt11L*(2*Gt111*Gt123 + Gt112*Gt223 + Gt113*Gt323) + + Gt111*(Gt112*gt13L + gt12L*Gt223 + gt13L*Gt323) + Gt112*Gt311*gt33L + + Gt212*Gt312*gt33L + Gt312*Gt313*gt33L + Gt311*Gt323*gt33L + + gt23L*SQR(Gt212))) + 2*gtu32*(Gt123*gt13L*Gt212 + 2*Gt123*gt12L*Gt213 + + Gt113*gt12L*Gt223 + Gt213*Gt223*gt22L + Gt212*Gt223*gt23L + + Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + 2*Gt123*gt13L*Gt313 + + Gt223*gt23L*Gt313 + Gt113*gt13L*Gt323 + gt13L*Gt223*Gt323 + + gt12L*Gt233*Gt323 + Gt213*gt23L*Gt323 + gt11L*(2*Gt113*Gt123 + + Gt123*Gt223 + Gt133*Gt323) + gt13L*Gt323*Gt333 + Gt212*Gt323*gt33L + + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L + Gt112*(Gt113*gt13L + + Gt213*gt23L + Gt313*gt33L) + gt12L*SQR(Gt223)) + + 2*gtu11*(2*Gt113*gt12L*Gt211 + Gt112*gt13L*Gt211 + gt12L*Gt212*Gt213 + + Gt211*Gt213*gt22L + Gt211*Gt212*gt23L + 3*Gt113*gt13L*Gt311 + + 2*Gt213*gt23L*Gt311 + gt13L*Gt213*Gt312 + gt12L*Gt213*Gt313 + + Gt211*gt23L*Gt313 + gt11L*(2*Gt111*Gt113 + Gt112*Gt213 + Gt113*Gt313) + + Gt211*Gt312*gt33L + 2*Gt311*Gt313*gt33L + Gt111*(gt12L*Gt213 + + Gt211*gt23L + gt13L*Gt313 + Gt311*gt33L) + gt13L*SQR(Gt111) + + gt13L*SQR(Gt313)) + 2*gtu31*(Gt112*gt13L*Gt213 + Gt112*gt11L*Gt233 + + Gt211*gt22L*Gt233 + Gt113*Gt211*gt23L + Gt212*Gt213*gt23L + + 2*Gt133*gt13L*Gt311 + Gt233*gt23L*Gt311 + gt13L*Gt233*Gt312 + + Gt113*gt13L*Gt313 + Gt213*gt23L*Gt313 + Gt113*gt11L*Gt333 + + Gt211*gt23L*Gt333 + gt13L*Gt313*Gt333 + Gt111*(2*gt11L*Gt133 + + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + gt12L*(2*Gt133*Gt211 + + Gt212*Gt233 + Gt213*Gt333) + Gt113*Gt311*gt33L + Gt213*Gt312*gt33L + + Gt311*Gt333*gt33L + gt33L*SQR(Gt313)) + 2*gtu31*(Gt123*gt13L*Gt211 + + 3*Gt113*gt12L*Gt213 + gt12L*Gt213*Gt223 + Gt211*Gt223*gt23L + + Gt133*gt13L*Gt311 + Gt233*gt23L*Gt311 + 3*Gt113*gt13L*Gt313 + + gt12L*Gt233*Gt313 + 2*Gt213*gt23L*Gt313 + gt13L*Gt213*Gt323 + + gt13L*Gt313*Gt333 + Gt211*Gt323*gt33L + Gt311*Gt333*gt33L + + Gt111*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + gt11L*(Gt123*Gt213 + + Gt133*Gt313 + 2*SQR(Gt113)) + gt22L*SQR(Gt213) + gt33L*SQR(Gt313)) + + 2*gtu22*(2*Gt123*gt12L*Gt212 + Gt122*gt13L*Gt212 + gt12L*Gt222*Gt223 + + Gt212*Gt223*gt22L + Gt212*Gt222*gt23L + 3*Gt123*gt13L*Gt312 + + 2*Gt223*gt23L*Gt312 + gt13L*Gt223*Gt322 + gt12L*Gt223*Gt323 + + Gt212*gt23L*Gt323 + gt11L*(2*Gt112*Gt123 + Gt122*Gt223 + Gt123*Gt323) + + Gt212*Gt322*gt33L + 2*Gt312*Gt323*gt33L + Gt112*(gt12L*Gt223 + + Gt212*gt23L + gt13L*Gt323 + Gt312*gt33L) + gt13L*SQR(Gt112) + + gt13L*SQR(Gt323)) + 2*gtu33*(2*gt12L*Gt133*Gt213 + Gt123*gt13L*Gt213 + + gt11L*Gt123*Gt233 + gt12L*Gt223*Gt233 + Gt213*gt22L*Gt233 + + Gt213*Gt223*gt23L + 3*Gt133*gt13L*Gt313 + 2*Gt233*gt23L*Gt313 + + gt13L*Gt233*Gt323 + gt11L*Gt133*Gt333 + gt12L*Gt233*Gt333 + + Gt213*gt23L*Gt333 + Gt213*Gt323*gt33L + 2*Gt313*Gt333*gt33L + + Gt113*(2*gt11L*Gt133 + gt12L*Gt233 + Gt213*gt23L + gt13L*Gt333 + + Gt313*gt33L) + gt13L*SQR(Gt113) + gt13L*SQR(Gt333))); + + CCTK_REAL Rt22 = 4*(Gt122*gt12L*Gt212*gtu21 + Gt112*gt12L*Gt222*gtu21 + + Gt122*gt12L*Gt222*gtu22 + Gt123*gt12L*Gt212*gtu31 + + Gt123*gt12L*Gt222*gtu32 + Gt123*gt12L*Gt223*gtu33) - + gtu11*khalf*PDstandardNth11gt22 + gtu21*(6*Gt212*Gt222*gt22L + + 2*Gt122*gt23L*Gt311 + 2*Gt122*gt13L*Gt312 + 4*Gt222*gt23L*Gt312 + + 2*Gt113*gt12L*Gt322 + 2*gt23L*Gt312*Gt323 + 2*Gt312*Gt322*gt33L - + PDstandardNth12gt22) + gtu31*(6*Gt212*Gt223*gt22L + 2*Gt123*gt13L*Gt312 + + 2*Gt112*gt23L*Gt313 + 2*Gt113*gt12L*Gt323 + 2*gt23L*Gt312*Gt333 + + 2*Gt312*Gt323*gt33L - PDstandardNth13gt22) - + gtu22*khalf*PDstandardNth22gt22 + gtu32*(4*Gt122*gt12L*Gt223 + + 2*Gt123*Gt212*gt22L + 2*gt12L*Gt133*Gt322 + 4*Gt223*gt23L*Gt322 + + 2*Gt123*gt12L*Gt323 + 4*Gt222*gt23L*Gt323 + 2*gt23L*Gt322*Gt333 + + 2*Gt322*Gt323*gt33L - PDstandardNth23gt22) + gt12L*(2*Gt111*Gt123*gtu31 + + 4*Gt112*Gt223*gtu31 + 2*Gt113*Gt122*gtu32 + 2*Gt113*Gt123*gtu33 + + PDstandardNth2Xt1) + gt22L*(2*Gt122*Gt213*gtu32 + 6*Gt222*Gt223*gtu32 + + 2*Gt123*Gt213*gtu33 + PDstandardNth2Xt2) + gt23L*(4*Gt212*Gt322*gtu21 + + 2*Gt313*Gt322*gtu21 + 4*Gt222*Gt322*gtu22 + 2*Gt123*Gt311*gtu31 + + 4*Gt212*Gt323*gtu31 + 2*Gt313*Gt323*gtu31 + 2*Gt122*Gt313*gtu32 + + 2*Gt123*Gt313*gtu33 + 4*Gt223*Gt323*gtu33 + 2*Gt323*Gt333*gtu33 + + PDstandardNth2Xt3) - gtu33*khalf*PDstandardNth33gt22 + Gt212*gt22L*Xtn1 + + Gt112*(2*Gt111*gt12L*gtu11 + 4*gt12L*Gt212*gtu11 + + 2*gt11L*Gt122*gtu21 + 2*Gt122*gt12L*gtu22 + 2*gt11L*Gt123*gtu31 + + 2*Gt123*gt12L*gtu32 + gt12L*Xtn1) + Gt312*(2*Gt213*gt22L*gtu11 + + 4*Gt212*gt23L*gtu11 + 2*gt23L*Gt313*gtu11 + 2*Gt123*gt12L*gtu21 + + 2*Gt122*gt23L*gtu22 + 2*gt12L*Gt133*gtu31 + 2*gt22L*Gt233*gtu31 + + 4*Gt223*gt23L*gtu31 + 2*Gt123*gt23L*gtu32 + gt23L*Xtn1) + + Gt122*gt12L*Xtn2 + Gt222*gt22L*Xtn2 + gt23L*Gt322*Xtn2 + + Gt123*gt12L*Xtn3 + Gt223*gt22L*Xtn3 + gt23L*Gt323*Xtn3 + + gt11L*gtu11*SQR(Gt112) + 2*(Gt112*Gt211*gt22L*gtu11 + + Gt112*gt23L*Gt311*gtu11 + Gt113*gt12L*Gt312*gtu11 + + Gt112*gt13L*Gt312*gtu11 + Gt111*Gt122*gt12L*gtu21 + + Gt122*Gt211*gt22L*gtu21 + Gt112*Gt212*gt22L*gtu21 + + Gt223*gt22L*Gt312*gtu21 + Gt112*gt23L*Gt312*gtu21 + + Gt112*gt13L*Gt322*gtu21 + Gt213*gt22L*Gt322*gtu21 + + Gt122*Gt212*gt22L*gtu22 + Gt123*gt12L*Gt322*gtu22 + + Gt122*gt13L*Gt322*gtu22 + Gt223*gt22L*Gt322*gtu22 + + gt23L*Gt322*Gt323*gtu22 + Gt112*Gt113*gt12L*gtu31 + + Gt123*Gt211*gt22L*gtu31 + Gt112*Gt213*gt22L*gtu31 + + Gt112*gt13L*Gt323*gtu31 + Gt213*gt22L*Gt323*gtu31 + + gt11L*Gt122*Gt123*gtu32 + Gt123*gt13L*Gt322*gtu32 + + gt22L*Gt233*Gt322*gtu32 + Gt122*gt13L*Gt323*gtu32 + + Gt223*gt22L*Gt323*gtu32 + gt12L*Gt133*Gt323*gtu33 + + Gt123*gt13L*Gt323*gtu33 + gt22L*Gt233*Gt323*gtu33 + + gt12L*gtu21*SQR(Gt112)) + gt11L*gtu22*SQR(Gt122) + + gt11L*gtu33*SQR(Gt123) + 3*gt22L*gtu11*SQR(Gt212) + + 3*gt22L*gtu22*SQR(Gt222) + 3*gt22L*gtu33*SQR(Gt223) + + gt33L*gtu11*SQR(Gt312) + gt33L*gtu22*SQR(Gt322) + + 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); + + CCTK_REAL Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - + 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - + gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + + gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + + gt23L*PDstandardNth3Xt3 + (Gt113*gt12L + Gt213*gt22L + + gt23L*Gt313)*Xtn1 + (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xtn1 + + (Gt123*gt12L + Gt223*gt22L + gt23L*Gt323)*Xtn2 + (Gt122*gt13L + + Gt222*gt23L + Gt322*gt33L)*Xtn2 + (gt12L*Gt133 + gt22L*Gt233 + + gt23L*Gt333)*Xtn3 + (Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)*Xtn3 + + 2*((Gt112*gt11L*Gt123 + Gt111*Gt123*gt12L + Gt111*Gt122*gt13L + + Gt123*gt12L*Gt212 + Gt112*gt13L*Gt222 + 2*Gt112*gt12L*Gt223 + + Gt123*Gt211*gt22L + 2*Gt212*Gt223*gt22L + Gt122*Gt211*gt23L + + Gt212*Gt222*gt23L + Gt123*gt23L*Gt311 + Gt123*gt13L*Gt312 + + 2*Gt223*gt23L*Gt312 + Gt113*gt13L*Gt322 + Gt213*gt23L*Gt322 + + Gt113*gt12L*Gt323 + Gt112*gt13L*Gt323 + Gt213*gt22L*Gt323 + + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + Gt122*Gt311*gt33L + + Gt222*Gt312*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L)*gtu21 + + (Gt112*gt11L*Gt133 + Gt111*gt12L*Gt133 + Gt111*Gt123*gt13L + + gt12L*Gt133*Gt212 + Gt112*gt13L*Gt223 + Gt133*Gt211*gt22L + + 2*Gt112*gt12L*Gt233 + 2*Gt212*gt22L*Gt233 + Gt123*Gt211*gt23L + + Gt212*Gt223*gt23L + Gt133*gt23L*Gt311 + Gt133*gt13L*Gt312 + + 2*Gt233*gt23L*Gt312 + Gt113*gt13L*Gt323 + Gt213*gt23L*Gt323 + + Gt113*gt12L*Gt333 + Gt112*gt13L*Gt333 + Gt213*gt22L*Gt333 + + Gt212*gt23L*Gt333 + gt23L*Gt313*Gt333 + Gt123*Gt311*gt33L + + Gt223*Gt312*gt33L + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu31 + + gtu21*(Gt113*gt11L*Gt122 + Gt122*gt13L*Gt212 + 2*Gt122*gt12L*Gt213 + + Gt113*gt12L*Gt222 + Gt113*Gt212*gt22L + 2*Gt213*Gt222*gt22L + + Gt212*Gt222*gt23L + Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + + Gt223*gt23L*Gt312 + Gt123*gt12L*Gt313 + Gt122*gt13L*Gt313 + + Gt223*gt22L*Gt313 + Gt222*gt23L*Gt313 + Gt113*gt13L*Gt322 + + 2*Gt213*gt23L*Gt322 + gt23L*Gt313*Gt323 + Gt212*Gt322*gt33L + + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L + Gt112*(Gt113*gt12L + + Gt212*gt23L + Gt312*gt33L) + gt13L*SQR(Gt112))) + + 2*gtu31*(2*Gt213*Gt223*gt22L + Gt112*Gt213*gt23L + Gt212*Gt223*gt23L + + Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + gt12L*Gt133*Gt313 + + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + Gt123*(2*gt12L*Gt213 + + gt13L*(Gt212 + Gt313)) + 2*Gt213*gt23L*Gt323 + Gt113*(gt11L*Gt123 + + Gt112*gt13L + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323) + + gt23L*Gt313*Gt333 + Gt112*Gt313*gt33L + Gt212*Gt323*gt33L + + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L + gt12L*SQR(Gt113)) + + 2*gtu11*(Gt112*Gt113*gt11L + Gt111*Gt113*gt12L + Gt111*Gt112*gt13L + + Gt113*gt12L*Gt212 + Gt112*gt13L*Gt212 + 2*Gt112*gt12L*Gt213 + + Gt113*Gt211*gt22L + 2*Gt212*Gt213*gt22L + Gt112*Gt211*gt23L + + Gt113*gt23L*Gt311 + 2*Gt113*gt13L*Gt312 + 3*Gt213*gt23L*Gt312 + + Gt113*gt12L*Gt313 + Gt112*gt13L*Gt313 + Gt213*gt22L*Gt313 + + Gt212*gt23L*Gt313 + Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + + 2*Gt312*Gt313*gt33L + gt23L*SQR(Gt212) + gt23L*SQR(Gt313)) + + 2*gtu22*(gt11L*Gt122*Gt123 + Gt112*Gt123*gt12L + Gt112*Gt122*gt13L + + Gt123*gt12L*Gt222 + Gt122*gt13L*Gt222 + 2*Gt122*gt12L*Gt223 + + Gt123*Gt212*gt22L + 2*Gt222*Gt223*gt22L + Gt122*Gt212*gt23L + + Gt123*gt23L*Gt312 + 2*Gt123*gt13L*Gt322 + 3*Gt223*gt23L*Gt322 + + Gt123*gt12L*Gt323 + Gt122*gt13L*Gt323 + Gt223*gt22L*Gt323 + + Gt222*gt23L*Gt323 + Gt122*Gt312*gt33L + Gt222*Gt322*gt33L + + 2*Gt322*Gt323*gt33L + gt23L*SQR(Gt222) + gt23L*SQR(Gt323)) + + 2*gtu32*(gt11L*Gt122*Gt133 + Gt112*gt12L*Gt133 + Gt112*Gt123*gt13L + + gt12L*Gt133*Gt222 + Gt122*gt13L*Gt223 + Gt133*Gt212*gt22L + + 2*Gt122*gt12L*Gt233 + 2*Gt222*gt22L*Gt233 + Gt123*Gt212*gt23L + + Gt222*Gt223*gt23L + Gt133*gt23L*Gt312 + Gt133*gt13L*Gt322 + + 2*Gt233*gt23L*Gt322 + Gt123*gt13L*Gt323 + Gt223*gt23L*Gt323 + + Gt123*gt12L*Gt333 + Gt122*gt13L*Gt333 + Gt223*gt22L*Gt333 + + Gt222*gt23L*Gt333 + gt23L*Gt323*Gt333 + Gt123*Gt312*gt33L + + Gt223*Gt322*gt33L + Gt322*Gt333*gt33L + gt33L*SQR(Gt323)) + + 2*gtu32*(Gt113*Gt123*gt12L + Gt113*Gt122*gt13L + Gt123*gt13L*Gt222 + + 3*Gt123*gt12L*Gt223 + Gt123*Gt213*gt22L + Gt122*Gt213*gt23L + + Gt222*Gt223*gt23L + Gt123*gt23L*Gt313 + Gt133*gt13L*Gt322 + + Gt233*gt23L*Gt322 + gt12L*Gt133*Gt323 + 2*Gt123*gt13L*Gt323 + + gt22L*Gt233*Gt323 + 3*Gt223*gt23L*Gt323 + gt23L*Gt323*Gt333 + + Gt122*Gt313*gt33L + Gt222*Gt323*gt33L + Gt322*Gt333*gt33L + + gt11L*SQR(Gt123) + 2*gt22L*SQR(Gt223) + gt33L*SQR(Gt323)) + + 2*gtu33*(gt11L*Gt123*Gt133 + Gt113*gt12L*Gt133 + Gt113*Gt123*gt13L + + gt12L*Gt133*Gt223 + Gt123*gt13L*Gt223 + Gt133*Gt213*gt22L + + 2*Gt123*gt12L*Gt233 + 2*Gt223*gt22L*Gt233 + Gt123*Gt213*gt23L + + Gt133*gt23L*Gt313 + 2*Gt133*gt13L*Gt323 + 3*Gt233*gt23L*Gt323 + + gt12L*Gt133*Gt333 + Gt123*gt13L*Gt333 + gt22L*Gt233*Gt333 + + Gt223*gt23L*Gt333 + Gt123*Gt313*gt33L + Gt223*Gt323*gt33L + + 2*Gt323*Gt333*gt33L + gt23L*SQR(Gt223) + gt23L*SQR(Gt333))); + + CCTK_REAL Rt33 = 4*(Gt123*gt13L*Gt323*gtu22 + Gt223*gt23L*Gt323*gtu22 + + Gt133*gt13L*Gt313*gtu31 + Gt233*gt23L*Gt313*gtu31 + + Gt113*gt13L*Gt333*gtu31 + Gt133*gt13L*Gt323*gtu32 + + Gt233*gt23L*Gt323*gtu32 + Gt123*gt13L*Gt333*gtu32 + + Gt133*gt13L*Gt333*gtu33) + gtu21*(2*Gt212*Gt223*gt23L + + 4*Gt123*gt13L*Gt313 + 4*Gt223*gt23L*Gt313 + 4*Gt113*gt13L*Gt323 + + 4*Gt213*gt23L*Gt323 + 2*Gt123*Gt311*gt33L - PDstandardNth12gt33) + + gtu31*(4*Gt213*gt23L*Gt333 + 2*Gt233*Gt312*gt33L + 6*Gt313*Gt333*gt33L + - PDstandardNth13gt33) - gtu22*khalf*PDstandardNth22gt33 + + gtu32*(4*Gt223*gt23L*Gt333 + 2*Gt123*Gt313*gt33L + 6*Gt323*Gt333*gt33L + - PDstandardNth23gt33) - gtu33*khalf*PDstandardNth33gt33 + + gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + + gt33L*(2*Gt213*Gt322*gtu21 + 6*Gt313*Gt323*gtu21 + 2*Gt123*Gt312*gtu22 + + 2*Gt133*Gt311*gtu31 + 2*Gt133*Gt312*gtu32 + 2*Gt133*Gt313*gtu33 + + PDstandardNth3Xt3) + Gt113*gt13L*Xtn1 + Gt213*gt23L*Xtn1 + + Gt313*gt33L*Xtn1 + Gt123*gt13L*Xtn2 + Gt223*gt23L*Xtn2 + + Gt323*gt33L*Xtn2 + Gt133*gt13L*Xtn3 + Gt333*gt33L*Xtn3 + + Gt233*(4*gt23L*Gt333*gtu33 + 2*Gt323*gt33L*gtu33 + gt23L*Xtn3) + + gtu11*(2*Gt212*Gt213*gt23L + 4*Gt113*gt13L*Gt313 + 4*Gt213*gt23L*Gt313 + + 2*Gt113*Gt311*gt33L + 2*Gt213*Gt312*gt33L - khalf*PDstandardNth11gt33 + + gt11L*SQR(Gt113)) + 2*(Gt111*Gt113*gt13L*gtu11 + + Gt113*gt12L*Gt213*gtu11 + Gt112*gt13L*Gt213*gtu11 + + Gt113*Gt211*gt23L*gtu11 + Gt113*gt11L*Gt123*gtu21 + + Gt112*Gt113*gt13L*gtu21 + Gt111*Gt123*gt13L*gtu21 + + Gt123*gt12L*Gt213*gtu21 + Gt122*gt13L*Gt213*gtu21 + + Gt113*gt12L*Gt223*gtu21 + Gt112*gt13L*Gt223*gtu21 + + Gt213*Gt223*gt22L*gtu21 + Gt123*Gt211*gt23L*gtu21 + + Gt113*Gt212*gt23L*gtu21 + Gt213*Gt222*gt23L*gtu21 + + Gt113*Gt312*gt33L*gtu21 + Gt223*Gt312*gt33L*gtu21 + + Gt112*Gt123*gt13L*gtu22 + Gt123*gt12L*Gt223*gtu22 + + Gt122*gt13L*Gt223*gtu22 + Gt123*Gt212*gt23L*gtu22 + + Gt222*Gt223*gt23L*gtu22 + Gt223*Gt322*gt33L*gtu22 + + Gt113*gt11L*Gt133*gtu31 + Gt111*Gt133*gt13L*gtu31 + + gt12L*Gt133*Gt213*gtu31 + Gt123*gt13L*Gt213*gtu31 + + Gt113*gt12L*Gt233*gtu31 + Gt112*gt13L*Gt233*gtu31 + + Gt213*gt22L*Gt233*gtu31 + Gt133*Gt211*gt23L*gtu31 + + Gt113*Gt213*gt23L*gtu31 + Gt213*Gt223*gt23L*gtu31 + + Gt212*Gt233*gt23L*gtu31 + Gt113*Gt313*gt33L*gtu31 + + Gt213*Gt323*gt33L*gtu31 + gt11L*Gt123*Gt133*gtu32 + + Gt113*Gt123*gt13L*gtu32 + Gt112*Gt133*gt13L*gtu32 + + gt12L*Gt133*Gt223*gtu32 + Gt123*gt13L*Gt223*gtu32 + + Gt123*gt12L*Gt233*gtu32 + Gt122*gt13L*Gt233*gtu32 + + Gt223*gt22L*Gt233*gtu32 + Gt133*Gt212*gt23L*gtu32 + + Gt123*Gt213*gt23L*gtu32 + Gt222*Gt233*gt23L*gtu32 + + Gt233*Gt322*gt33L*gtu32 + Gt223*Gt323*gt33L*gtu32 + + Gt113*Gt133*gt13L*gtu33 + gt12L*Gt133*Gt233*gtu33 + + Gt123*gt13L*Gt233*gtu33 + Gt133*Gt213*gt23L*gtu33 + + Gt223*Gt233*gt23L*gtu33 + gt13L*gtu31*SQR(Gt113)) + + gt11L*gtu22*SQR(Gt123) + gt11L*gtu33*SQR(Gt133) + + gt22L*gtu11*SQR(Gt213) + gt22L*gtu22*SQR(Gt223) + + 2*gt23L*gtu32*SQR(Gt223) + gt22L*gtu33*SQR(Gt233) + + 3*gt33L*gtu11*SQR(Gt313) + 3*gt33L*gtu22*SQR(Gt323) + + 3*gt33L*gtu33*SQR(Gt333); + + CCTK_REAL fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + + CCTK_REAL cdphi211 = -(fac1*(-PDstandardNth11phi + + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); + + CCTK_REAL cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - + fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); + + CCTK_REAL cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - + fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); + + CCTK_REAL cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - + PDstandardNth22phi + Gt222*PDstandardNth2phi + + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); + + CCTK_REAL cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - + fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); + + CCTK_REAL cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + + Gt233*PDstandardNth2phi - PDstandardNth33phi + + Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); - CCTK_REAL const Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + - gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + - gtu33*(cdphi233 + 2*SQR(cdphi3)))); + CCTK_REAL Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + + gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + gtu22*(cdphi222 + + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + + gtu33*SQR(cdphi3)))); - CCTK_REAL const Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + - gt13L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + - gtu33*(cdphi233 + 2*SQR(cdphi3)))); + CCTK_REAL Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + + 4*cdphi3*gt12L*gtu31) + gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 + + 2*SQR(cdphi3)))); - CCTK_REAL const Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + - gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + cdphi3*gtu32)) + cdphi233*gtu33 + - gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); + CCTK_REAL Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + + cdphi3*(-2 + 4*gt13L*gtu31)) + gt13L*(cdphi211*gtu11 + + 4*cdphi2*cdphi3*gtu32 + 2*(cdphi212*gtu21 + cdphi213*gtu31 + + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - CCTK_REAL const Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + - gt23L*(cdphi222*gtu22 + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); + CCTK_REAL Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + + gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + + cdphi3*gtu32)) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + + gtu33*SQR(cdphi3)))); - CCTK_REAL const Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + - 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + gt33L*gtu33)*SQR(cdphi3)); + CCTK_REAL Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + + cdphi3*(-2 + 4*gt23L*gtu32)) + gt23L*(cdphi222*gtu22 + + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + CCTK_REAL Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + + 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + + 2*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + + gt33L*gtu33)*SQR(cdphi3)); - CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - CCTK_REAL const Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - CCTK_REAL const Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; + CCTK_REAL Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; - CCTK_REAL const Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + CCTK_REAL Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; - CCTK_REAL const Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; + CCTK_REAL Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; - CCTK_REAL const Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; + CCTK_REAL Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; - CCTK_REAL const Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; + CCTK_REAL Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; - CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + CCTK_REAL Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; - CCTK_REAL const em4phi = INV(e4phi); + CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - CCTK_REAL const g11 = e4phi*gt11L; + CCTK_REAL em4phi = INV(e4phi); - CCTK_REAL const g12 = e4phi*gt12L; + CCTK_REAL g11 = e4phi*gt11L; - CCTK_REAL const g13 = e4phi*gt13L; + CCTK_REAL g12 = e4phi*gt12L; - CCTK_REAL const g22 = e4phi*gt22L; + CCTK_REAL g13 = e4phi*gt13L; - CCTK_REAL const g23 = e4phi*gt23L; + CCTK_REAL g22 = e4phi*gt22L; - CCTK_REAL const g33 = e4phi*gt33L; + CCTK_REAL g23 = e4phi*gt23L; - CCTK_REAL const gu11 = em4phi*gtu11; + CCTK_REAL g33 = e4phi*gt33L; - CCTK_REAL const gu21 = em4phi*gtu21; + CCTK_REAL gu11 = em4phi*gtu11; - CCTK_REAL const gu31 = em4phi*gtu31; + CCTK_REAL gu21 = em4phi*gtu21; - CCTK_REAL const gu22 = em4phi*gtu22; + CCTK_REAL gu31 = em4phi*gtu31; - CCTK_REAL const gu32 = em4phi*gtu32; + CCTK_REAL gu22 = em4phi*gtu22; - CCTK_REAL const gu33 = em4phi*gtu33; + CCTK_REAL gu32 = em4phi*gtu32; - CCTK_REAL const G111 = Gt111 + cdphi1*(4 - 2*gt11L*gtu11) - 2*gt11L*(cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL gu33 = em4phi*gtu33; - CCTK_REAL const G211 = Gt211 - 2*gt11L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL G111 = Gt111 + cdphi1*(4 - 2*gt11L*gtu11) - + 2*gt11L*(cdphi2*gtu21 + cdphi3*gtu31); - CCTK_REAL const G311 = Gt311 - 2*gt11L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL G211 = Gt211 - 2*gt11L*(cdphi1*gtu21 + cdphi2*gtu22 + + cdphi3*gtu32); - CCTK_REAL const G112 = Gt112 + cdphi2*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi1*gtu11 + cdphi3*gtu31); + CCTK_REAL G311 = Gt311 - 2*gt11L*(cdphi1*gtu31 + cdphi2*gtu32 + + cdphi3*gtu33); - CCTK_REAL const G212 = Gt212 + cdphi1*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL G112 = Gt112 + cdphi2*(2 - 2*gt12L*gtu21) - + 2*gt12L*(cdphi1*gtu11 + cdphi3*gtu31); - CCTK_REAL const G312 = Gt312 - 2*gt12L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL G212 = Gt212 + cdphi1*(2 - 2*gt12L*gtu21) - + 2*gt12L*(cdphi2*gtu22 + cdphi3*gtu32); - CCTK_REAL const G113 = Gt113 - 2*gt13L*(cdphi1*gtu11 + cdphi2*gtu21) + cdphi3*(2 - 2*gt13L*gtu31); + CCTK_REAL G312 = Gt312 - 2*gt12L*(cdphi1*gtu31 + cdphi2*gtu32 + + cdphi3*gtu33); - CCTK_REAL const G213 = Gt213 - 2*gt13L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL G113 = Gt113 - 2*gt13L*(cdphi1*gtu11 + cdphi2*gtu21) + + cdphi3*(2 - 2*gt13L*gtu31); - CCTK_REAL const G313 = Gt313 + cdphi1*(2 - 2*gt13L*gtu31) - 2*gt13L*(cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL G213 = Gt213 - 2*gt13L*(cdphi1*gtu21 + cdphi2*gtu22 + + cdphi3*gtu32); - CCTK_REAL const G122 = Gt122 - 2*gt22L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL G313 = Gt313 + cdphi1*(2 - 2*gt13L*gtu31) - + 2*gt13L*(cdphi2*gtu32 + cdphi3*gtu33); - CCTK_REAL const G222 = Gt222 + cdphi2*(4 - 2*gt22L*gtu22) - 2*gt22L*(cdphi1*gtu21 + cdphi3*gtu32); + CCTK_REAL G122 = Gt122 - 2*gt22L*(cdphi1*gtu11 + cdphi2*gtu21 + + cdphi3*gtu31); - CCTK_REAL const G322 = Gt322 - 2*gt22L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL G222 = Gt222 + cdphi2*(4 - 2*gt22L*gtu22) - + 2*gt22L*(cdphi1*gtu21 + cdphi3*gtu32); - CCTK_REAL const G123 = Gt123 - 2*gt23L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL G322 = Gt322 - 2*gt22L*(cdphi1*gtu31 + cdphi2*gtu32 + + cdphi3*gtu33); - CCTK_REAL const G223 = Gt223 - 2*gt23L*(cdphi1*gtu21 + cdphi2*gtu22) + cdphi3*(2 - 2*gt23L*gtu32); + CCTK_REAL G123 = Gt123 - 2*gt23L*(cdphi1*gtu11 + cdphi2*gtu21 + + cdphi3*gtu31); - CCTK_REAL const G323 = Gt323 + cdphi2*(2 - 2*gt23L*gtu32) - 2*gt23L*(cdphi1*gtu31 + cdphi3*gtu33); + CCTK_REAL G223 = Gt223 - 2*gt23L*(cdphi1*gtu21 + cdphi2*gtu22) + + cdphi3*(2 - 2*gt23L*gtu32); - CCTK_REAL const G133 = Gt133 - 2*gt33L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL G323 = Gt323 + cdphi2*(2 - 2*gt23L*gtu32) - + 2*gt23L*(cdphi1*gtu31 + cdphi3*gtu33); - CCTK_REAL const G233 = Gt233 - 2*gt33L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL G133 = Gt133 - 2*gt33L*(cdphi1*gtu11 + cdphi2*gtu21 + + cdphi3*gtu31); - CCTK_REAL const G333 = Gt333 - 2*gt33L*(cdphi1*gtu31 + cdphi2*gtu32) + cdphi3*(4 - 2*gt33L*gtu33); + CCTK_REAL G233 = Gt233 - 2*gt33L*(cdphi1*gtu21 + cdphi2*gtu22 + + cdphi3*gtu32); - CCTK_REAL const R11 = Rphi11 + Rt11; + CCTK_REAL G333 = Gt333 - 2*gt33L*(cdphi1*gtu31 + cdphi2*gtu32) + + cdphi3*(4 - 2*gt33L*gtu33); - CCTK_REAL const R12 = Rphi12 + Rt12; + CCTK_REAL R11 = Rphi11 + Rt11; - CCTK_REAL const R13 = Rphi13 + Rt13; + CCTK_REAL R12 = Rphi12 + Rt12; - CCTK_REAL const R22 = Rphi22 + Rt22; + CCTK_REAL R13 = Rphi13 + Rt13; - CCTK_REAL const R23 = Rphi23 + Rt23; + CCTK_REAL R22 = Rphi22 + Rt22; - CCTK_REAL const R33 = Rphi33 + Rt33; + CCTK_REAL R23 = Rphi23 + Rt23; - CCTK_REAL const rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + beta3L*eTtzL) + - 2*(beta1L*(-eTtxL + beta2L*eTxyL + beta3L*eTxzL) + beta2L*beta3L*eTyzL) + eTxxL*SQR(beta1L) + eTyyL*SQR(beta2L) + - eTzzL*SQR(beta3L)); + CCTK_REAL R33 = Rphi33 + Rt33; - CCTK_REAL const S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + beta3L*eTxzL)*INV(alphaL); + CCTK_REAL rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + + beta3L*eTtzL) + 2*(beta1L*(-eTtxL + beta2L*eTxyL + beta3L*eTxzL) + + beta2L*beta3L*eTyzL) + eTxxL*SQR(beta1L) + eTyyL*SQR(beta2L) + + eTzzL*SQR(beta3L)); - CCTK_REAL const S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + beta3L*eTyzL)*INV(alphaL); + CCTK_REAL S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + + beta3L*eTxzL)*INV(alphaL); - CCTK_REAL const S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + beta3L*eTzzL)*INV(alphaL); + CCTK_REAL S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + + beta3L*eTyzL)*INV(alphaL); - CCTK_REAL const trS = eTxxL*gu11 + eTyyL*gu22 + 2*(eTxyL*gu21 + eTxzL*gu31 + eTyzL*gu32) + eTzzL*gu33; - - CCTK_REAL const phirhsL = PDupwindNth1(phi, i, j, k)*beta1L + PDupwindNth2(phi, i, j, k)*beta2L + - PDupwindNth3(phi, i, j, k)*beta3L + (PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)* - IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + - alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); - - CCTK_REAL const gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, k)*beta1L + PDupwindNth2(gt11, i, j, k)*beta2L + - PDupwindNth3(gt11, i, j, k)*beta3L + 2*(gt12L*PDstandardNth1beta2 + gt13L*PDstandardNth1beta3) + - gt11L*(kfourthird*PDstandardNth1beta1 - ktwothird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); - - CCTK_REAL const gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, k)*beta1L + PDupwindNth2(gt12, i, j, k)*beta2L + - PDupwindNth3(gt12, i, j, k)*beta3L + gt22L*PDstandardNth1beta2 + gt23L*PDstandardNth1beta3 + - gt11L*PDstandardNth2beta1 + gt13L*PDstandardNth2beta3 + - gt12L*(kthird*(PDstandardNth1beta1 + PDstandardNth2beta2) - ktwothird*PDstandardNth3beta3); - - CCTK_REAL const gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, k)*beta1L + PDupwindNth2(gt13, i, j, k)*beta2L + - PDupwindNth3(gt13, i, j, k)*beta3L + gt23L*PDstandardNth1beta2 + gt33L*PDstandardNth1beta3 + - gt11L*PDstandardNth3beta1 + gt12L*PDstandardNth3beta2 + - gt13L*(-(ktwothird*PDstandardNth2beta2) + kthird*(PDstandardNth1beta1 + PDstandardNth3beta3)); - - CCTK_REAL const gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, k)*beta1L + PDupwindNth2(gt22, i, j, k)*beta2L + - PDupwindNth3(gt22, i, j, k)*beta3L + 2*(gt12L*PDstandardNth2beta1 + gt23L*PDstandardNth2beta3) + - gt22L*(-(ktwothird*PDstandardNth1beta1) + kfourthird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); - - CCTK_REAL const gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, k)*beta1L + PDupwindNth2(gt23, i, j, k)*beta2L + - PDupwindNth3(gt23, i, j, k)*beta3L + gt13L*PDstandardNth2beta1 + gt33L*PDstandardNth2beta3 + - gt12L*PDstandardNth3beta1 + gt22L*PDstandardNth3beta2 + - gt23L*(-(ktwothird*PDstandardNth1beta1) + kthird*(PDstandardNth2beta2 + PDstandardNth3beta3)); - - CCTK_REAL const gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, k)*beta1L + PDupwindNth2(gt33, i, j, k)*beta2L + - PDupwindNth3(gt33, i, j, k)*beta3L - gt33L*ktwothird*PDstandardNth1beta1 - gt33L*ktwothird*PDstandardNth2beta2 + - 2*gt13L*PDstandardNth3beta1 + 2*gt23L*PDstandardNth3beta2 + gt33L*kfourthird*PDstandardNth3beta3; - - CCTK_REAL const Xt1rhsL = kthird*(7*(gtu21*PDstandardNth12beta1 + gtu31*PDstandardNth13beta1) + - gtu11*(4*PDstandardNth11beta1 + PDstandardNth12beta2 + PDstandardNth13beta3) + - gtu21*(PDstandardNth22beta2 + PDstandardNth23beta3) + - 3*(PDupwindNth1(Xt1, i, j, k)*beta1L + PDupwindNth2(Xt1, i, j, k)*beta2L + - PDupwindNth3(Xt1, i, j, k)*beta3L + gtu22*PDstandardNth22beta1 + gtu33*PDstandardNth33beta1) + - gtu31*(PDstandardNth23beta2 + PDstandardNth33beta3) - - 6*(Atu11*PDstandardNth1alpha + Atu21*PDstandardNth2alpha + Atu31*PDstandardNth3alpha) + - 6*(gtu32*PDstandardNth23beta1 + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + Atu31*cdphi3) + Atu11*Gt111 + - Atu22*Gt122 + 2*(Atu21*Gt112 + Atu31*Gt113 + Atu32*Gt123) + Atu33*Gt133 - - ktwothird*(gtu11*PDstandardNth1trK + gtu21*PDstandardNth2trK + gtu31*PDstandardNth3trK))) - - 150.7964473723100754462068823974161384415*alphaL*(gtu11*S1 + gtu21*S2 + gtu31*S3) + - (-3*PDstandardNth1beta1 + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3))*Xtn1 - - 3*(PDstandardNth2beta1*Xtn2 + PDstandardNth3beta1*Xtn3)); - - CCTK_REAL const Xt2rhsL = kthird*(gtu21*(PDstandardNth11beta1 + 7*PDstandardNth12beta2 + PDstandardNth13beta3) + - gtu22*(PDstandardNth12beta1 + 4*PDstandardNth22beta2 + PDstandardNth23beta3) + - 3*(PDupwindNth1(Xt2, i, j, k)*beta1L + PDupwindNth2(Xt2, i, j, k)*beta2L + - PDupwindNth3(Xt2, i, j, k)*beta3L + gtu11*PDstandardNth11beta2 + gtu33*PDstandardNth33beta2) + - gtu32*(PDstandardNth13beta1 + 7*PDstandardNth23beta2 + PDstandardNth33beta3) - - 6*(Atu21*PDstandardNth1alpha + Atu22*PDstandardNth2alpha + Atu32*PDstandardNth3alpha) + - 6*(gtu31*PDstandardNth13beta2 + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + Atu32*cdphi3) + Atu11*Gt211 + - Atu22*Gt222 + 2*(Atu21*Gt212 + Atu31*Gt213 + Atu32*Gt223) + Atu33*Gt233 - - ktwothird*(gtu21*PDstandardNth1trK + gtu22*PDstandardNth2trK + gtu32*PDstandardNth3trK))) - - 150.7964473723100754462068823974161384415*alphaL*(gtu21*S1 + gtu22*S2 + gtu32*S3) + - 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn2 - - 3*(PDstandardNth1beta2*Xtn1 + PDstandardNth2beta2*Xtn2 + PDstandardNth3beta2*Xtn3)); - - CCTK_REAL const Xt3rhsL = kthird*(gtu31*(PDstandardNth11beta1 + PDstandardNth12beta2 + 7*PDstandardNth13beta3) + - 3*(PDupwindNth1(Xt3, i, j, k)*beta1L + PDupwindNth2(Xt3, i, j, k)*beta2L + - PDupwindNth3(Xt3, i, j, k)*beta3L + gtu11*PDstandardNth11beta3 + gtu22*PDstandardNth22beta3) + - gtu32*(PDstandardNth12beta1 + PDstandardNth22beta2 + 7*PDstandardNth23beta3) + - gtu33*(PDstandardNth13beta1 + PDstandardNth23beta2 + 4*PDstandardNth33beta3) - - 6*(Atu31*PDstandardNth1alpha + Atu32*PDstandardNth2alpha + Atu33*PDstandardNth3alpha) + - 6*(gtu21*PDstandardNth12beta3 + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + Atu33*cdphi3) + Atu11*Gt311 + - Atu22*Gt322 + 2*(Atu21*Gt312 + Atu31*Gt313 + Atu32*Gt323) + Atu33*Gt333 - - ktwothird*(gtu31*PDstandardNth1trK + gtu32*PDstandardNth2trK + gtu33*PDstandardNth3trK))) - - 150.7964473723100754462068823974161384415*alphaL*(gtu31*S1 + gtu32*S2 + gtu33*S3) + - 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn3 - - 3*(PDstandardNth1beta3*Xtn1 + PDstandardNth2beta3*Xtn2 + PDstandardNth3beta3*Xtn3)); - - CCTK_REAL const trKrhsL = PDupwindNth1(trK, i, j, k)*beta1L + PDupwindNth2(trK, i, j, k)*beta2L + - PDupwindNth3(trK, i, j, k)*beta3L + (G111*gu11 + G122*gu22 + 2.*(G112*gu21 + G113*gu31 + G123*gu32) + G133*gu33)* - PDstandardNth1alpha - 2.*(gu21*PDstandardNth12alpha + gu31*PDstandardNth13alpha + gu32*PDstandardNth23alpha) + - (G211*gu11 + G222*gu22 + 2.*(G212*gu21 + G213*gu31 + G223*gu32) + G233*gu33)*PDstandardNth2alpha - - 1.*(gu11*PDstandardNth11alpha + gu22*PDstandardNth22alpha + gu33*PDstandardNth33alpha) + - (G311*gu11 + G322*gu22 + 2.*(G313*gu31 + G323*gu32) + G333*gu33)*PDstandardNth3alpha + - 2.*(alphaL*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) + G312*gu21*PDstandardNth3alpha) + - alphaL*(12.56637061435917295385057353311801153679*(rho + trS) + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) + - 0.3333333333333333333333333333333333333333*SQR(trKL)); - - CCTK_REAL const Ats11 = -PDstandardNth11alpha + G111*PDstandardNth1alpha + G211*PDstandardNth2alpha + G311*PDstandardNth3alpha + - alphaL*R11; - - CCTK_REAL const Ats12 = -PDstandardNth12alpha + G112*PDstandardNth1alpha + G212*PDstandardNth2alpha + G312*PDstandardNth3alpha + - alphaL*R12; - - CCTK_REAL const Ats13 = -PDstandardNth13alpha + G113*PDstandardNth1alpha + G213*PDstandardNth2alpha + G313*PDstandardNth3alpha + - alphaL*R13; - - CCTK_REAL const Ats22 = G122*PDstandardNth1alpha - PDstandardNth22alpha + G222*PDstandardNth2alpha + G322*PDstandardNth3alpha + - alphaL*R22; - - CCTK_REAL const Ats23 = G123*PDstandardNth1alpha - PDstandardNth23alpha + G223*PDstandardNth2alpha + G323*PDstandardNth3alpha + - alphaL*R23; - - CCTK_REAL const Ats33 = G133*PDstandardNth1alpha + G233*PDstandardNth2alpha - PDstandardNth33alpha + G333*PDstandardNth3alpha + - alphaL*R33; - - CCTK_REAL const trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; - - CCTK_REAL const At11rhsL = -2.*alphaL*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + PDupwindNth1(At11, i, j, k)*beta1L + - PDupwindNth2(At11, i, j, k)*beta2L + PDupwindNth3(At11, i, j, k)*beta3L + - 2.*(At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + - At11L*(1.333333333333333333333333333333333333333*PDstandardNth1beta1 - - 0.6666666666666666666666666666666666666667*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + - em4phi*(Ats11 - 0.3333333333333333333333333333333333333333*g11*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTxxL + 8.377580409572781969233715688745341024526*g11*trS)); - - CCTK_REAL const At12rhsL = -2.*alphaL*(At11L*Atm12 + At12L*Atm22 + At13L*Atm32) + PDupwindNth1(At12, i, j, k)*beta1L + - PDupwindNth2(At12, i, j, k)*beta2L + PDupwindNth3(At12, i, j, k)*beta3L + At22L*PDstandardNth1beta2 + - At23L*PDstandardNth1beta3 + At11L*PDstandardNth2beta1 + At13L*PDstandardNth2beta3 + - At12L*(0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth2beta2) - - 0.6666666666666666666666666666666666666667*PDstandardNth3beta3 + alphaL*trKL) + - em4phi*(Ats12 - 0.3333333333333333333333333333333333333333*g12*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTxyL + 8.377580409572781969233715688745341024526*g12*trS)); - - CCTK_REAL const At13rhsL = -2.*alphaL*(At11L*Atm13 + At12L*Atm23 + At13L*Atm33) + PDupwindNth1(At13, i, j, k)*beta1L + - PDupwindNth2(At13, i, j, k)*beta2L + PDupwindNth3(At13, i, j, k)*beta3L + At23L*PDstandardNth1beta2 + - At33L*PDstandardNth1beta3 + At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + - At13L*(-0.6666666666666666666666666666666666666667*PDstandardNth2beta2 + - 0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + - em4phi*(Ats13 - 0.3333333333333333333333333333333333333333*g13*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTxzL + 8.377580409572781969233715688745341024526*g13*trS)); - - CCTK_REAL const At22rhsL = -2.*alphaL*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + PDupwindNth1(At22, i, j, k)*beta1L + - PDupwindNth2(At22, i, j, k)*beta2L + PDupwindNth3(At22, i, j, k)*beta3L + - 2.*(At12L*PDstandardNth2beta1 + At23L*PDstandardNth2beta3) + - At22L*(1.333333333333333333333333333333333333333*PDstandardNth2beta2 - - 0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + - em4phi*(Ats22 - 0.3333333333333333333333333333333333333333*g22*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTyyL + 8.377580409572781969233715688745341024526*g22*trS)); - - CCTK_REAL const At23rhsL = -2.*alphaL*(At12L*Atm13 + At22L*Atm23 + At23L*Atm33) + PDupwindNth1(At23, i, j, k)*beta1L + - PDupwindNth2(At23, i, j, k)*beta2L + PDupwindNth3(At23, i, j, k)*beta3L + At13L*PDstandardNth2beta1 + - At33L*PDstandardNth2beta3 + At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + - At23L*(-0.6666666666666666666666666666666666666667*PDstandardNth1beta1 + - 0.3333333333333333333333333333333333333333*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + - em4phi*(Ats23 - 0.3333333333333333333333333333333333333333*g23*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTyzL + 8.377580409572781969233715688745341024526*g23*trS)); - - CCTK_REAL const At33rhsL = -2.*alphaL*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + PDupwindNth1(At33, i, j, k)*beta1L + - PDupwindNth2(At33, i, j, k)*beta2L + PDupwindNth3(At33, i, j, k)*beta3L + - 2.*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2) + - At33L*(-0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth2beta2) + - 1.333333333333333333333333333333333333333*PDstandardNth3beta3 + alphaL*trKL) + - em4phi*(Ats33 - 0.3333333333333333333333333333333333333333*g33*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTzzL + 8.377580409572781969233715688745341024526*g33*trS)); - - CCTK_REAL const alpharhsL = (PDupwindNth1(alpha, i, j, k)*beta1L + PDupwindNth2(alpha, i, j, k)*beta2L + - PDupwindNth3(alpha, i, j, k)*beta3L)*LapseAdvectionCoeff + - harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - - CCTK_REAL const ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - trKrhsL); - - CCTK_REAL const eta = BetaDriver*IfThen(rL > SpatialBetaDriverRadius,SpatialBetaDriverRadius*INV(rL),1); - - CCTK_REAL const beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + PDupwindNth2(beta1, i, j, k)*beta2L + - PDupwindNth3(beta1, i, j, k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; - - CCTK_REAL const beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + PDupwindNth2(beta2, i, j, k)*beta2L + - PDupwindNth3(beta2, i, j, k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; - - CCTK_REAL const beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + PDupwindNth2(beta3, i, j, k)*beta2L + - PDupwindNth3(beta3, i, j, k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; - - CCTK_REAL const B1rhsL = -(B1L*eta) + ((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*beta1L + - (PDupwindNth2(B1, i, j, k) - PDupwindNth2(Xt1, i, j, k))*beta2L + - (PDupwindNth3(B1, i, j, k) - PDupwindNth3(Xt1, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt1rhsL; - - CCTK_REAL const B2rhsL = -(B2L*eta) + ((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*beta1L + - (PDupwindNth2(B2, i, j, k) - PDupwindNth2(Xt2, i, j, k))*beta2L + - (PDupwindNth3(B2, i, j, k) - PDupwindNth3(Xt2, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt2rhsL; - - CCTK_REAL const B3rhsL = -(B3L*eta) + ((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*beta1L + - (PDupwindNth2(B3, i, j, k) - PDupwindNth2(Xt3, i, j, k))*beta2L + - (PDupwindNth3(B3, i, j, k) - PDupwindNth3(Xt3, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt3rhsL; + CCTK_REAL S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + + beta3L*eTzzL)*INV(alphaL); + + CCTK_REAL trS = eTxxL*gu11 + eTyyL*gu22 + 2*(eTxyL*gu21 + eTxzL*gu31 + + eTyzL*gu32) + eTzzL*gu33; + + CCTK_REAL phirhsL = PDupwindNth1(phi, i, j, k)*beta1L + + PDupwindNth2(phi, i, j, k)*beta2L + PDupwindNth3(phi, i, j, + k)*beta3L + (PDstandardNth1beta1 + PDstandardNth2beta2 + + PDstandardNth3beta3)*IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); + + CCTK_REAL gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, + k)*beta1L + PDupwindNth2(gt11, i, j, k)*beta2L + PDupwindNth3(gt11, + i, j, k)*beta3L + 2*(gt12L*PDstandardNth1beta2 + + gt13L*PDstandardNth1beta3) + gt11L*(kfourthird*PDstandardNth1beta1 - + ktwothird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); + + CCTK_REAL gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, + k)*beta1L + PDupwindNth2(gt12, i, j, k)*beta2L + PDupwindNth3(gt12, + i, j, k)*beta3L + gt22L*PDstandardNth1beta2 + + gt23L*PDstandardNth1beta3 + gt11L*PDstandardNth2beta1 + + gt13L*PDstandardNth2beta3 + gt12L*(kthird*(PDstandardNth1beta1 + + PDstandardNth2beta2) - ktwothird*PDstandardNth3beta3); + + CCTK_REAL gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, + k)*beta1L + PDupwindNth2(gt13, i, j, k)*beta2L + PDupwindNth3(gt13, + i, j, k)*beta3L + gt23L*PDstandardNth1beta2 + + gt33L*PDstandardNth1beta3 + gt11L*PDstandardNth3beta1 + + gt12L*PDstandardNth3beta2 + gt13L*(-(ktwothird*PDstandardNth2beta2) + + kthird*(PDstandardNth1beta1 + PDstandardNth3beta3)); + + CCTK_REAL gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, + k)*beta1L + PDupwindNth2(gt22, i, j, k)*beta2L + PDupwindNth3(gt22, + i, j, k)*beta3L + 2*(gt12L*PDstandardNth2beta1 + + gt23L*PDstandardNth2beta3) + gt22L*(-(ktwothird*PDstandardNth1beta1) + + kfourthird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); + + CCTK_REAL gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, + k)*beta1L + PDupwindNth2(gt23, i, j, k)*beta2L + PDupwindNth3(gt23, + i, j, k)*beta3L + gt13L*PDstandardNth2beta1 + + gt33L*PDstandardNth2beta3 + gt12L*PDstandardNth3beta1 + + gt22L*PDstandardNth3beta2 + gt23L*(-(ktwothird*PDstandardNth1beta1) + + kthird*(PDstandardNth2beta2 + PDstandardNth3beta3)); + + CCTK_REAL gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, + k)*beta1L + PDupwindNth2(gt33, i, j, k)*beta2L + PDupwindNth3(gt33, + i, j, k)*beta3L - gt33L*ktwothird*PDstandardNth1beta1 - + gt33L*ktwothird*PDstandardNth2beta2 + 2*gt13L*PDstandardNth3beta1 + + 2*gt23L*PDstandardNth3beta2 + gt33L*kfourthird*PDstandardNth3beta3; + + Xt1rhsL = kthird*(7*(gtu21*PDstandardNth12beta1 + + gtu31*PDstandardNth13beta1) + gtu11*(4*PDstandardNth11beta1 + + PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu21*(PDstandardNth22beta2 + PDstandardNth23beta3) + + 3*(PDupwindNth1(Xt1, i, j, k)*beta1L + PDupwindNth2(Xt1, i, j, + k)*beta2L + PDupwindNth3(Xt1, i, j, k)*beta3L + + gtu22*PDstandardNth22beta1 + gtu33*PDstandardNth33beta1) + + gtu31*(PDstandardNth23beta2 + PDstandardNth33beta3) - + 6*(Atu11*PDstandardNth1alpha + Atu21*PDstandardNth2alpha + + Atu31*PDstandardNth3alpha) + 6*(gtu32*PDstandardNth23beta1 + + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + Atu31*cdphi3) + Atu11*Gt111 + + Atu22*Gt122 + 2*(Atu21*Gt112 + Atu31*Gt113 + Atu32*Gt123) + Atu33*Gt133 + - ktwothird*(gtu11*PDstandardNth1trK + gtu21*PDstandardNth2trK + + gtu31*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu11*S1 + gtu21*S2 + + gtu31*S3) + (-3*PDstandardNth1beta1 + 2*(PDstandardNth1beta1 + + PDstandardNth2beta2 + PDstandardNth3beta3))*Xtn1 - + 3*(PDstandardNth2beta1*Xtn2 + PDstandardNth3beta1*Xtn3)); + + Xt2rhsL = kthird*(gtu21*(PDstandardNth11beta1 + 7*PDstandardNth12beta2 + + PDstandardNth13beta3) + gtu22*(PDstandardNth12beta1 + + 4*PDstandardNth22beta2 + PDstandardNth23beta3) + 3*(PDupwindNth1(Xt2, + i, j, k)*beta1L + PDupwindNth2(Xt2, i, j, k)*beta2L + + PDupwindNth3(Xt2, i, j, k)*beta3L + gtu11*PDstandardNth11beta2 + + gtu33*PDstandardNth33beta2) + gtu32*(PDstandardNth13beta1 + + 7*PDstandardNth23beta2 + PDstandardNth33beta3) - + 6*(Atu21*PDstandardNth1alpha + Atu22*PDstandardNth2alpha + + Atu32*PDstandardNth3alpha) + 6*(gtu31*PDstandardNth13beta2 + + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + Atu32*cdphi3) + Atu11*Gt211 + + Atu22*Gt222 + 2*(Atu21*Gt212 + Atu31*Gt213 + Atu32*Gt223) + Atu33*Gt233 + - ktwothird*(gtu21*PDstandardNth1trK + gtu22*PDstandardNth2trK + + gtu32*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu21*S1 + gtu22*S2 + + gtu32*S3) + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + + PDstandardNth3beta3)*Xtn2 - 3*(PDstandardNth1beta2*Xtn1 + + PDstandardNth2beta2*Xtn2 + PDstandardNth3beta2*Xtn3)); + + Xt3rhsL = kthird*(gtu31*(PDstandardNth11beta1 + PDstandardNth12beta2 + + 7*PDstandardNth13beta3) + 3*(PDupwindNth1(Xt3, i, j, k)*beta1L + + PDupwindNth2(Xt3, i, j, k)*beta2L + PDupwindNth3(Xt3, i, j, + k)*beta3L + gtu11*PDstandardNth11beta3 + gtu22*PDstandardNth22beta3) + + gtu32*(PDstandardNth12beta1 + PDstandardNth22beta2 + + 7*PDstandardNth23beta3) + gtu33*(PDstandardNth13beta1 + + PDstandardNth23beta2 + 4*PDstandardNth33beta3) - + 6*(Atu31*PDstandardNth1alpha + Atu32*PDstandardNth2alpha + + Atu33*PDstandardNth3alpha) + 6*(gtu21*PDstandardNth12beta3 + + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + Atu33*cdphi3) + Atu11*Gt311 + + Atu22*Gt322 + 2*(Atu21*Gt312 + Atu31*Gt313 + Atu32*Gt323) + Atu33*Gt333 + - ktwothird*(gtu31*PDstandardNth1trK + gtu32*PDstandardNth2trK + + gtu33*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu31*S1 + gtu32*S2 + + gtu33*S3) + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + + PDstandardNth3beta3)*Xtn3 - 3*(PDstandardNth1beta3*Xtn1 + + PDstandardNth2beta3*Xtn2 + PDstandardNth3beta3*Xtn3)); + + trKrhsL = PDupwindNth1(trK, i, j, k)*beta1L + PDupwindNth2(trK, i, + j, k)*beta2L + PDupwindNth3(trK, i, j, k)*beta3L + (G111*gu11 + + G122*gu22 + 2.*(G112*gu21 + G113*gu31 + G123*gu32) + + G133*gu33)*PDstandardNth1alpha - 2.*(gu21*PDstandardNth12alpha + + gu31*PDstandardNth13alpha + gu32*PDstandardNth23alpha) + (G211*gu11 + + G222*gu22 + 2.*(G212*gu21 + G213*gu31 + G223*gu32) + + G233*gu33)*PDstandardNth2alpha - 1.*(gu11*PDstandardNth11alpha + + gu22*PDstandardNth22alpha + gu33*PDstandardNth33alpha) + (G311*gu11 + + G322*gu22 + 2.*(G313*gu31 + G323*gu32) + G333*gu33)*PDstandardNth3alpha + + 2.*(alphaL*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) + + G312*gu21*PDstandardNth3alpha) + + alphaL*(12.56637061435917295385057353311801153679*(rho + trS) + + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) + + 0.3333333333333333333333333333333333333333*SQR(trKL)); + + CCTK_REAL Ats11 = -PDstandardNth11alpha + G111*PDstandardNth1alpha + + G211*PDstandardNth2alpha + G311*PDstandardNth3alpha + alphaL*R11; + + CCTK_REAL Ats12 = -PDstandardNth12alpha + G112*PDstandardNth1alpha + + G212*PDstandardNth2alpha + G312*PDstandardNth3alpha + alphaL*R12; + + CCTK_REAL Ats13 = -PDstandardNth13alpha + G113*PDstandardNth1alpha + + G213*PDstandardNth2alpha + G313*PDstandardNth3alpha + alphaL*R13; + + CCTK_REAL Ats22 = G122*PDstandardNth1alpha - PDstandardNth22alpha + + G222*PDstandardNth2alpha + G322*PDstandardNth3alpha + alphaL*R22; + + CCTK_REAL Ats23 = G123*PDstandardNth1alpha - PDstandardNth23alpha + + G223*PDstandardNth2alpha + G323*PDstandardNth3alpha + alphaL*R23; + + CCTK_REAL Ats33 = G133*PDstandardNth1alpha + G233*PDstandardNth2alpha + - PDstandardNth33alpha + G333*PDstandardNth3alpha + alphaL*R33; + + CCTK_REAL trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 + + Ats23*gu32) + Ats33*gu33; + + CCTK_REAL At11rhsL = -2.*alphaL*(At11L*Atm11 + At12L*Atm21 + + At13L*Atm31) + PDupwindNth1(At11, i, j, k)*beta1L + + PDupwindNth2(At11, i, j, k)*beta2L + PDupwindNth3(At11, i, j, + k)*beta3L + 2.*(At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + + At11L*(1.333333333333333333333333333333333333333*PDstandardNth1beta1 + - 0.6666666666666666666666666666666666666667*(PDstandardNth2beta2 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats11 - + 0.3333333333333333333333333333333333333333*g11*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxxL + + 8.377580409572781969233715688745341024526*g11*trS)); + + CCTK_REAL At12rhsL = -2.*alphaL*(At11L*Atm12 + At12L*Atm22 + + At13L*Atm32) + PDupwindNth1(At12, i, j, k)*beta1L + + PDupwindNth2(At12, i, j, k)*beta2L + PDupwindNth3(At12, i, j, + k)*beta3L + At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3 + + At11L*PDstandardNth2beta1 + At13L*PDstandardNth2beta3 + + At12L*(0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + + PDstandardNth2beta2) - + 0.6666666666666666666666666666666666666667*PDstandardNth3beta3 + + alphaL*trKL) + em4phi*(Ats12 - + 0.3333333333333333333333333333333333333333*g12*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxyL + + 8.377580409572781969233715688745341024526*g12*trS)); + + CCTK_REAL At13rhsL = -2.*alphaL*(At11L*Atm13 + At12L*Atm23 + + At13L*Atm33) + PDupwindNth1(At13, i, j, k)*beta1L + + PDupwindNth2(At13, i, j, k)*beta2L + PDupwindNth3(At13, i, j, + k)*beta3L + At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3 + + At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + + At13L*(-0.6666666666666666666666666666666666666667*PDstandardNth2beta2 + + 0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats13 - + 0.3333333333333333333333333333333333333333*g13*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxzL + + 8.377580409572781969233715688745341024526*g13*trS)); + + CCTK_REAL At22rhsL = -2.*alphaL*(At12L*Atm12 + At22L*Atm22 + + At23L*Atm32) + PDupwindNth1(At22, i, j, k)*beta1L + + PDupwindNth2(At22, i, j, k)*beta2L + PDupwindNth3(At22, i, j, + k)*beta3L + 2.*(At12L*PDstandardNth2beta1 + At23L*PDstandardNth2beta3) + + At22L*(1.333333333333333333333333333333333333333*PDstandardNth2beta2 + - 0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats22 - + 0.3333333333333333333333333333333333333333*g22*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTyyL + + 8.377580409572781969233715688745341024526*g22*trS)); + + CCTK_REAL At23rhsL = -2.*alphaL*(At12L*Atm13 + At22L*Atm23 + + At23L*Atm33) + PDupwindNth1(At23, i, j, k)*beta1L + + PDupwindNth2(At23, i, j, k)*beta2L + PDupwindNth3(At23, i, j, + k)*beta3L + At13L*PDstandardNth2beta1 + At33L*PDstandardNth2beta3 + + At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + + At23L*(-0.6666666666666666666666666666666666666667*PDstandardNth1beta1 + + 0.3333333333333333333333333333333333333333*(PDstandardNth2beta2 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats23 - + 0.3333333333333333333333333333333333333333*g23*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTyzL + + 8.377580409572781969233715688745341024526*g23*trS)); + + CCTK_REAL At33rhsL = -2.*alphaL*(At13L*Atm13 + At23L*Atm23 + + At33L*Atm33) + PDupwindNth1(At33, i, j, k)*beta1L + + PDupwindNth2(At33, i, j, k)*beta2L + PDupwindNth3(At33, i, j, + k)*beta3L + 2.*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2) + + + At33L*(-0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + + PDstandardNth2beta2) + + 1.333333333333333333333333333333333333333*PDstandardNth3beta3 + + alphaL*trKL) + em4phi*(Ats33 - + 0.3333333333333333333333333333333333333333*g33*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTzzL + + 8.377580409572781969233715688745341024526*g33*trS)); + + CCTK_REAL alpharhsL = (PDupwindNth1(alpha, i, j, k)*beta1L + + PDupwindNth2(alpha, i, j, k)*beta2L + PDupwindNth3(alpha, i, j, + k)*beta3L)*LapseAdvectionCoeff + harmonicF*(AL*(-1 + + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + + CCTK_REAL ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - + trKrhsL); + + CCTK_REAL eta = BetaDriver*IfThen(rL > + SpatialBetaDriverRadius,SpatialBetaDriverRadius*INV(rL),1); + + CCTK_REAL beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + + PDupwindNth2(beta1, i, j, k)*beta2L + PDupwindNth3(beta1, i, j, + k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; + + CCTK_REAL beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + + PDupwindNth2(beta2, i, j, k)*beta2L + PDupwindNth3(beta2, i, j, + k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; + + CCTK_REAL beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + + PDupwindNth2(beta3, i, j, k)*beta2L + PDupwindNth3(beta3, i, j, + k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; + + CCTK_REAL B1rhsL = -(B1L*eta) + ((PDupwindNth1(B1, i, j, k) - + PDupwindNth1(Xt1, i, j, k))*beta1L + (PDupwindNth2(B1, i, j, k) - + PDupwindNth2(Xt1, i, j, k))*beta2L + (PDupwindNth3(B1, i, j, k) - + PDupwindNth3(Xt1, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt1rhsL; + + CCTK_REAL B2rhsL = -(B2L*eta) + ((PDupwindNth1(B2, i, j, k) - + PDupwindNth1(Xt2, i, j, k))*beta1L + (PDupwindNth2(B2, i, j, k) - + PDupwindNth2(Xt2, i, j, k))*beta2L + (PDupwindNth3(B2, i, j, k) - + PDupwindNth3(Xt2, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt2rhsL; + + CCTK_REAL B3rhsL = -(B3L*eta) + ((PDupwindNth1(B3, i, j, k) - + PDupwindNth1(Xt3, i, j, k))*beta1L + (PDupwindNth2(B3, i, j, k) - + PDupwindNth2(Xt3, i, j, k))*beta2L + (PDupwindNth3(B3, i, j, k) - + PDupwindNth3(Xt3, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt3rhsL; /* Copy local copies back to grid functions */ @@ -1139,8 +1318,6 @@ void ML_BSSN_RHS_Body(cGH const * restrict const cctkGH, int const dir, int cons Xt1rhs[index] = Xt1rhsL; Xt2rhs[index] = Xt2rhsL; Xt3rhs[index] = Xt3rhsL; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_RHS); } diff --git a/ML_BSSN/src/ML_BSSN_RHS1.c b/ML_BSSN/src/ML_BSSN_RHS1.c index 23f9856..98f904a 100644 --- a/ML_BSSN/src/ML_BSSN_RHS1.c +++ b/ML_BSSN/src/ML_BSSN_RHS1.c @@ -28,20 +28,6 @@ void ML_BSSN_RHS1_Body(cGH const * restrict const cctkGH, int const dir, int con /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_RHS1_Body"); @@ -94,48 +80,7 @@ void ML_BSSN_RHS1_Body(cGH const * restrict const cctkGH, int const dir, int con cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; - // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; - // CCTK_REAL Atu11 = INITVALUE, Atu21 = INITVALUE, Atu22 = INITVALUE, Atu31 = INITVALUE, Atu32 = INITVALUE, Atu33 = INITVALUE; - // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi3 = INITVALUE; - // CCTK_REAL detgt = INITVALUE; - // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - // CCTK_REAL eta = INITVALUE; - // CCTK_REAL fac1 = INITVALUE; - // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; - // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; - - /* Declare local copies of grid functions */ - // CCTK_REAL alphaL = INITVALUE; - // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - // CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; - // CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; - // CCTK_REAL eTtxL = INITVALUE; - // CCTK_REAL eTtyL = INITVALUE; - // CCTK_REAL eTtzL = INITVALUE; - // CCTK_REAL eTxxL = INITVALUE; - // CCTK_REAL eTxyL = INITVALUE; - // CCTK_REAL eTxzL = INITVALUE; - // CCTK_REAL eTyyL = INITVALUE; - // CCTK_REAL eTyzL = INITVALUE; - // CCTK_REAL eTzzL = INITVALUE; - // CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; - // CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; - // CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; - // CCTK_REAL rL = INITVALUE; - // CCTK_REAL trKL = INITVALUE; - // CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ // CCTK_REAL PDstandardNth1alpha = INITVALUE; // CCTK_REAL PDstandardNth2alpha = INITVALUE; @@ -193,46 +138,47 @@ void ML_BSSN_RHS1_Body(cGH const * restrict const cctkGH, int const dir, int con // CCTK_REAL PDstandardNth3trK = INITVALUE; /* Assign local copies of grid functions */ - CCTK_REAL const alphaL = alpha[index]; - CCTK_REAL const At11L = At11[index]; - CCTK_REAL const At12L = At12[index]; - CCTK_REAL const At13L = At13[index]; - CCTK_REAL const At22L = At22[index]; - CCTK_REAL const At23L = At23[index]; - CCTK_REAL const At33L = At33[index]; - CCTK_REAL const B1L = B1[index]; - CCTK_REAL const B2L = B2[index]; - CCTK_REAL const B3L = B3[index]; - CCTK_REAL const beta1L = beta1[index]; - CCTK_REAL const beta2L = beta2[index]; - CCTK_REAL const beta3L = beta3[index]; - CCTK_REAL const eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0; - CCTK_REAL const eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0; - CCTK_REAL const eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0; - CCTK_REAL const eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; - CCTK_REAL const eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; - CCTK_REAL const eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; - CCTK_REAL const eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; - CCTK_REAL const eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; - CCTK_REAL const eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; - CCTK_REAL const gt11L = gt11[index]; - CCTK_REAL const gt12L = gt12[index]; - CCTK_REAL const gt13L = gt13[index]; - CCTK_REAL const gt22L = gt22[index]; - CCTK_REAL const gt23L = gt23[index]; - CCTK_REAL const gt33L = gt33[index]; - CCTK_REAL const phiL = phi[index]; - CCTK_REAL const rL = r[index]; - CCTK_REAL const trKL = trK[index]; - CCTK_REAL const Xt1L = Xt1[index]; - CCTK_REAL const Xt2L = Xt2[index]; - CCTK_REAL const Xt3L = Xt3[index]; - - /* Assign local copies of subblock grid functions */ + CCTK_REAL alphaL = alpha[index]; + CCTK_REAL At11L = At11[index]; + CCTK_REAL At12L = At12[index]; + CCTK_REAL At13L = At13[index]; + CCTK_REAL At22L = At22[index]; + CCTK_REAL At23L = At23[index]; + CCTK_REAL At33L = At33[index]; + CCTK_REAL B1L = B1[index]; + CCTK_REAL B2L = B2[index]; + CCTK_REAL B3L = B3[index]; + CCTK_REAL beta1L = beta1[index]; + CCTK_REAL beta2L = beta2[index]; + CCTK_REAL beta3L = beta3[index]; + CCTK_REAL eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL gt11L = gt11[index]; + CCTK_REAL gt12L = gt12[index]; + CCTK_REAL gt13L = gt13[index]; + CCTK_REAL gt22L = gt22[index]; + CCTK_REAL gt23L = gt23[index]; + CCTK_REAL gt33L = gt33[index]; + CCTK_REAL phiL = phi[index]; + CCTK_REAL rL = r[index]; + CCTK_REAL trKL = trK[index]; + CCTK_REAL Xt1L = Xt1[index]; + CCTK_REAL Xt1rhsL = Xt1rhs[index]; + CCTK_REAL Xt2L = Xt2[index]; + CCTK_REAL Xt2rhsL = Xt2rhs[index]; + CCTK_REAL Xt3L = Xt3[index]; + CCTK_REAL Xt3rhsL = Xt3rhs[index]; /* Include user supplied include files */ - /* Precompute derivatives (new style) */ + /* Precompute derivatives */ CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); @@ -288,227 +234,284 @@ void ML_BSSN_RHS1_Body(cGH const * restrict const cctkGH, int const dir, int con CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - /* Precompute derivatives (old style) */ - /* Calculate temporaries and grid functions */ - int const dir1 = Sign(beta1L); - - int const dir2 = Sign(beta2L); - - int const dir3 = Sign(beta3L); - - CCTK_REAL const detgt = 1; - - CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - CCTK_REAL const Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + int dir1 = Sign(beta1L); - CCTK_REAL const Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + int dir2 = Sign(beta2L); - CCTK_REAL const Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + int dir3 = Sign(beta3L); - CCTK_REAL const Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + - gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + CCTK_REAL detgt = 1; - CCTK_REAL const Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + - gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL const Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + - gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL const Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + - gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL const Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + - gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL const Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + - gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL const Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + - gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL const Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + - gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + CCTK_REAL Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - CCTK_REAL const Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + - gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + CCTK_REAL Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); - CCTK_REAL const Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu21*PDstandardNth3gt22); + CCTK_REAL Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); - CCTK_REAL const Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu22*PDstandardNth3gt22); + CCTK_REAL Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL const Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu32*PDstandardNth3gt22); + CCTK_REAL Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL const Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + - 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + CCTK_REAL Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL const Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + - 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + CCTK_REAL Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL const Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + - 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + CCTK_REAL Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL const Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + CCTK_REAL Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL const Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + CCTK_REAL Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL const Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + CCTK_REAL Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL const fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + CCTK_REAL Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL const cdphi1 = fac1*PDstandardNth1phi; + CCTK_REAL Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); - CCTK_REAL const cdphi2 = fac1*PDstandardNth2phi; + CCTK_REAL Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); - CCTK_REAL const cdphi3 = fac1*PDstandardNth3phi; + CCTK_REAL Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); - CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + CCTK_REAL Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + CCTK_REAL Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + CCTK_REAL Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + CCTK_REAL Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + CCTK_REAL Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + CCTK_REAL Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + CCTK_REAL fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + CCTK_REAL cdphi1 = fac1*PDstandardNth1phi; - CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + CCTK_REAL cdphi2 = fac1*PDstandardNth2phi; - CCTK_REAL const Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + CCTK_REAL cdphi3 = fac1*PDstandardNth3phi; - CCTK_REAL const Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; + CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - CCTK_REAL const Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - CCTK_REAL const Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; + CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - CCTK_REAL const Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; + CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - CCTK_REAL const Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; + CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - CCTK_REAL const S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + beta3L*eTxzL)*INV(alphaL); + CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - CCTK_REAL const S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + beta3L*eTyzL)*INV(alphaL); + CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - CCTK_REAL const S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + beta3L*eTzzL)*INV(alphaL); + CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - CCTK_REAL const phirhsL = PDupwindNth1(phi, i, j, k)*beta1L + PDupwindNth2(phi, i, j, k)*beta2L + - PDupwindNth3(phi, i, j, k)*beta3L + (PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)* - IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + - alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); + CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - CCTK_REAL const gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, k)*beta1L + PDupwindNth2(gt11, i, j, k)*beta2L + - PDupwindNth3(gt11, i, j, k)*beta3L + 2*(gt12L*PDstandardNth1beta2 + gt13L*PDstandardNth1beta3) + - gt11L*(kfourthird*PDstandardNth1beta1 - ktwothird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); + CCTK_REAL Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + + CCTK_REAL Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; - CCTK_REAL const gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, k)*beta1L + PDupwindNth2(gt12, i, j, k)*beta2L + - PDupwindNth3(gt12, i, j, k)*beta3L + gt22L*PDstandardNth1beta2 + gt23L*PDstandardNth1beta3 + - gt11L*PDstandardNth2beta1 + gt13L*PDstandardNth2beta3 + - gt12L*(kthird*(PDstandardNth1beta1 + PDstandardNth2beta2) - ktwothird*PDstandardNth3beta3); - - CCTK_REAL const gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, k)*beta1L + PDupwindNth2(gt13, i, j, k)*beta2L + - PDupwindNth3(gt13, i, j, k)*beta3L + gt23L*PDstandardNth1beta2 + gt33L*PDstandardNth1beta3 + - gt11L*PDstandardNth3beta1 + gt12L*PDstandardNth3beta2 + - gt13L*(-(ktwothird*PDstandardNth2beta2) + kthird*(PDstandardNth1beta1 + PDstandardNth3beta3)); - - CCTK_REAL const gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, k)*beta1L + PDupwindNth2(gt22, i, j, k)*beta2L + - PDupwindNth3(gt22, i, j, k)*beta3L + 2*(gt12L*PDstandardNth2beta1 + gt23L*PDstandardNth2beta3) + - gt22L*(-(ktwothird*PDstandardNth1beta1) + kfourthird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); - - CCTK_REAL const gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, k)*beta1L + PDupwindNth2(gt23, i, j, k)*beta2L + - PDupwindNth3(gt23, i, j, k)*beta3L + gt13L*PDstandardNth2beta1 + gt33L*PDstandardNth2beta3 + - gt12L*PDstandardNth3beta1 + gt22L*PDstandardNth3beta2 + - gt23L*(-(ktwothird*PDstandardNth1beta1) + kthird*(PDstandardNth2beta2 + PDstandardNth3beta3)); - - CCTK_REAL const gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, k)*beta1L + PDupwindNth2(gt33, i, j, k)*beta2L + - PDupwindNth3(gt33, i, j, k)*beta3L - gt33L*ktwothird*PDstandardNth1beta1 - gt33L*ktwothird*PDstandardNth2beta2 + - 2*gt13L*PDstandardNth3beta1 + 2*gt23L*PDstandardNth3beta2 + gt33L*kfourthird*PDstandardNth3beta3; - - CCTK_REAL const Xt1rhsL = kthird*(7*(gtu21*PDstandardNth12beta1 + gtu31*PDstandardNth13beta1) + - gtu11*(4*PDstandardNth11beta1 + PDstandardNth12beta2 + PDstandardNth13beta3) + - gtu21*(PDstandardNth22beta2 + PDstandardNth23beta3) + - 3*(PDupwindNth1(Xt1, i, j, k)*beta1L + PDupwindNth2(Xt1, i, j, k)*beta2L + - PDupwindNth3(Xt1, i, j, k)*beta3L + gtu22*PDstandardNth22beta1 + gtu33*PDstandardNth33beta1) + - gtu31*(PDstandardNth23beta2 + PDstandardNth33beta3) - - 6*(Atu11*PDstandardNth1alpha + Atu21*PDstandardNth2alpha + Atu31*PDstandardNth3alpha) + - 6*(gtu32*PDstandardNth23beta1 + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + Atu31*cdphi3) + Atu11*Gt111 + - Atu22*Gt122 + 2*(Atu21*Gt112 + Atu31*Gt113 + Atu32*Gt123) + Atu33*Gt133 - - ktwothird*(gtu11*PDstandardNth1trK + gtu21*PDstandardNth2trK + gtu31*PDstandardNth3trK))) - - 150.7964473723100754462068823974161384415*alphaL*(gtu11*S1 + gtu21*S2 + gtu31*S3) + - (-3*PDstandardNth1beta1 + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3))*Xtn1 - - 3*(PDstandardNth2beta1*Xtn2 + PDstandardNth3beta1*Xtn3)); - - CCTK_REAL const Xt2rhsL = kthird*(gtu21*(PDstandardNth11beta1 + 7*PDstandardNth12beta2 + PDstandardNth13beta3) + - gtu22*(PDstandardNth12beta1 + 4*PDstandardNth22beta2 + PDstandardNth23beta3) + - 3*(PDupwindNth1(Xt2, i, j, k)*beta1L + PDupwindNth2(Xt2, i, j, k)*beta2L + - PDupwindNth3(Xt2, i, j, k)*beta3L + gtu11*PDstandardNth11beta2 + gtu33*PDstandardNth33beta2) + - gtu32*(PDstandardNth13beta1 + 7*PDstandardNth23beta2 + PDstandardNth33beta3) - - 6*(Atu21*PDstandardNth1alpha + Atu22*PDstandardNth2alpha + Atu32*PDstandardNth3alpha) + - 6*(gtu31*PDstandardNth13beta2 + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + Atu32*cdphi3) + Atu11*Gt211 + - Atu22*Gt222 + 2*(Atu21*Gt212 + Atu31*Gt213 + Atu32*Gt223) + Atu33*Gt233 - - ktwothird*(gtu21*PDstandardNth1trK + gtu22*PDstandardNth2trK + gtu32*PDstandardNth3trK))) - - 150.7964473723100754462068823974161384415*alphaL*(gtu21*S1 + gtu22*S2 + gtu32*S3) + - 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn2 - - 3*(PDstandardNth1beta2*Xtn1 + PDstandardNth2beta2*Xtn2 + PDstandardNth3beta2*Xtn3)); - - CCTK_REAL const Xt3rhsL = kthird*(gtu31*(PDstandardNth11beta1 + PDstandardNth12beta2 + 7*PDstandardNth13beta3) + - 3*(PDupwindNth1(Xt3, i, j, k)*beta1L + PDupwindNth2(Xt3, i, j, k)*beta2L + - PDupwindNth3(Xt3, i, j, k)*beta3L + gtu11*PDstandardNth11beta3 + gtu22*PDstandardNth22beta3) + - gtu32*(PDstandardNth12beta1 + PDstandardNth22beta2 + 7*PDstandardNth23beta3) + - gtu33*(PDstandardNth13beta1 + PDstandardNth23beta2 + 4*PDstandardNth33beta3) - - 6*(Atu31*PDstandardNth1alpha + Atu32*PDstandardNth2alpha + Atu33*PDstandardNth3alpha) + - 6*(gtu21*PDstandardNth12beta3 + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + Atu33*cdphi3) + Atu11*Gt311 + - Atu22*Gt322 + 2*(Atu21*Gt312 + Atu31*Gt313 + Atu32*Gt323) + Atu33*Gt333 - - ktwothird*(gtu31*PDstandardNth1trK + gtu32*PDstandardNth2trK + gtu33*PDstandardNth3trK))) - - 150.7964473723100754462068823974161384415*alphaL*(gtu31*S1 + gtu32*S2 + gtu33*S3) + - 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + PDstandardNth3beta3)*Xtn3 - - 3*(PDstandardNth1beta3*Xtn1 + PDstandardNth2beta3*Xtn2 + PDstandardNth3beta3*Xtn3)); - - CCTK_REAL const eta = BetaDriver*IfThen(rL > SpatialBetaDriverRadius,SpatialBetaDriverRadius*INV(rL),1); - - CCTK_REAL const beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + PDupwindNth2(beta1, i, j, k)*beta2L + - PDupwindNth3(beta1, i, j, k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; - - CCTK_REAL const beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + PDupwindNth2(beta2, i, j, k)*beta2L + - PDupwindNth3(beta2, i, j, k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; - - CCTK_REAL const beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + PDupwindNth2(beta3, i, j, k)*beta2L + - PDupwindNth3(beta3, i, j, k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; - - CCTK_REAL const B1rhsL = -(B1L*eta) + ((PDupwindNth1(B1, i, j, k) - PDupwindNth1(Xt1, i, j, k))*beta1L + - (PDupwindNth2(B1, i, j, k) - PDupwindNth2(Xt1, i, j, k))*beta2L + - (PDupwindNth3(B1, i, j, k) - PDupwindNth3(Xt1, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt1rhsL; - - CCTK_REAL const B2rhsL = -(B2L*eta) + ((PDupwindNth1(B2, i, j, k) - PDupwindNth1(Xt2, i, j, k))*beta1L + - (PDupwindNth2(B2, i, j, k) - PDupwindNth2(Xt2, i, j, k))*beta2L + - (PDupwindNth3(B2, i, j, k) - PDupwindNth3(Xt2, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt2rhsL; - - CCTK_REAL const B3rhsL = -(B3L*eta) + ((PDupwindNth1(B3, i, j, k) - PDupwindNth1(Xt3, i, j, k))*beta1L + - (PDupwindNth2(B3, i, j, k) - PDupwindNth2(Xt3, i, j, k))*beta2L + - (PDupwindNth3(B3, i, j, k) - PDupwindNth3(Xt3, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt3rhsL; + CCTK_REAL Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + + CCTK_REAL Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; + + CCTK_REAL Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; + + CCTK_REAL Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; + + CCTK_REAL S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + + beta3L*eTxzL)*INV(alphaL); + + CCTK_REAL S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + + beta3L*eTyzL)*INV(alphaL); + + CCTK_REAL S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + + beta3L*eTzzL)*INV(alphaL); + + CCTK_REAL phirhsL = PDupwindNth1(phi, i, j, k)*beta1L + + PDupwindNth2(phi, i, j, k)*beta2L + PDupwindNth3(phi, i, j, + k)*beta3L + (PDstandardNth1beta1 + PDstandardNth2beta2 + + PDstandardNth3beta3)*IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); + + CCTK_REAL gt11rhsL = -2*alphaL*At11L + PDupwindNth1(gt11, i, j, + k)*beta1L + PDupwindNth2(gt11, i, j, k)*beta2L + PDupwindNth3(gt11, + i, j, k)*beta3L + 2*(gt12L*PDstandardNth1beta2 + + gt13L*PDstandardNth1beta3) + gt11L*(kfourthird*PDstandardNth1beta1 - + ktwothird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); + + CCTK_REAL gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, + k)*beta1L + PDupwindNth2(gt12, i, j, k)*beta2L + PDupwindNth3(gt12, + i, j, k)*beta3L + gt22L*PDstandardNth1beta2 + + gt23L*PDstandardNth1beta3 + gt11L*PDstandardNth2beta1 + + gt13L*PDstandardNth2beta3 + gt12L*(kthird*(PDstandardNth1beta1 + + PDstandardNth2beta2) - ktwothird*PDstandardNth3beta3); + + CCTK_REAL gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, + k)*beta1L + PDupwindNth2(gt13, i, j, k)*beta2L + PDupwindNth3(gt13, + i, j, k)*beta3L + gt23L*PDstandardNth1beta2 + + gt33L*PDstandardNth1beta3 + gt11L*PDstandardNth3beta1 + + gt12L*PDstandardNth3beta2 + gt13L*(-(ktwothird*PDstandardNth2beta2) + + kthird*(PDstandardNth1beta1 + PDstandardNth3beta3)); + + CCTK_REAL gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, + k)*beta1L + PDupwindNth2(gt22, i, j, k)*beta2L + PDupwindNth3(gt22, + i, j, k)*beta3L + 2*(gt12L*PDstandardNth2beta1 + + gt23L*PDstandardNth2beta3) + gt22L*(-(ktwothird*PDstandardNth1beta1) + + kfourthird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3); + + CCTK_REAL gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, + k)*beta1L + PDupwindNth2(gt23, i, j, k)*beta2L + PDupwindNth3(gt23, + i, j, k)*beta3L + gt13L*PDstandardNth2beta1 + + gt33L*PDstandardNth2beta3 + gt12L*PDstandardNth3beta1 + + gt22L*PDstandardNth3beta2 + gt23L*(-(ktwothird*PDstandardNth1beta1) + + kthird*(PDstandardNth2beta2 + PDstandardNth3beta3)); + + CCTK_REAL gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, + k)*beta1L + PDupwindNth2(gt33, i, j, k)*beta2L + PDupwindNth3(gt33, + i, j, k)*beta3L - gt33L*ktwothird*PDstandardNth1beta1 - + gt33L*ktwothird*PDstandardNth2beta2 + 2*gt13L*PDstandardNth3beta1 + + 2*gt23L*PDstandardNth3beta2 + gt33L*kfourthird*PDstandardNth3beta3; + + Xt1rhsL = kthird*(7*(gtu21*PDstandardNth12beta1 + + gtu31*PDstandardNth13beta1) + gtu11*(4*PDstandardNth11beta1 + + PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu21*(PDstandardNth22beta2 + PDstandardNth23beta3) + + 3*(PDupwindNth1(Xt1, i, j, k)*beta1L + PDupwindNth2(Xt1, i, j, + k)*beta2L + PDupwindNth3(Xt1, i, j, k)*beta3L + + gtu22*PDstandardNth22beta1 + gtu33*PDstandardNth33beta1) + + gtu31*(PDstandardNth23beta2 + PDstandardNth33beta3) - + 6*(Atu11*PDstandardNth1alpha + Atu21*PDstandardNth2alpha + + Atu31*PDstandardNth3alpha) + 6*(gtu32*PDstandardNth23beta1 + + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + Atu31*cdphi3) + Atu11*Gt111 + + Atu22*Gt122 + 2*(Atu21*Gt112 + Atu31*Gt113 + Atu32*Gt123) + Atu33*Gt133 + - ktwothird*(gtu11*PDstandardNth1trK + gtu21*PDstandardNth2trK + + gtu31*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu11*S1 + gtu21*S2 + + gtu31*S3) + (-3*PDstandardNth1beta1 + 2*(PDstandardNth1beta1 + + PDstandardNth2beta2 + PDstandardNth3beta3))*Xtn1 - + 3*(PDstandardNth2beta1*Xtn2 + PDstandardNth3beta1*Xtn3)); + + Xt2rhsL = kthird*(gtu21*(PDstandardNth11beta1 + 7*PDstandardNth12beta2 + + PDstandardNth13beta3) + gtu22*(PDstandardNth12beta1 + + 4*PDstandardNth22beta2 + PDstandardNth23beta3) + 3*(PDupwindNth1(Xt2, + i, j, k)*beta1L + PDupwindNth2(Xt2, i, j, k)*beta2L + + PDupwindNth3(Xt2, i, j, k)*beta3L + gtu11*PDstandardNth11beta2 + + gtu33*PDstandardNth33beta2) + gtu32*(PDstandardNth13beta1 + + 7*PDstandardNth23beta2 + PDstandardNth33beta3) - + 6*(Atu21*PDstandardNth1alpha + Atu22*PDstandardNth2alpha + + Atu32*PDstandardNth3alpha) + 6*(gtu31*PDstandardNth13beta2 + + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + Atu32*cdphi3) + Atu11*Gt211 + + Atu22*Gt222 + 2*(Atu21*Gt212 + Atu31*Gt213 + Atu32*Gt223) + Atu33*Gt233 + - ktwothird*(gtu21*PDstandardNth1trK + gtu22*PDstandardNth2trK + + gtu32*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu21*S1 + gtu22*S2 + + gtu32*S3) + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + + PDstandardNth3beta3)*Xtn2 - 3*(PDstandardNth1beta2*Xtn1 + + PDstandardNth2beta2*Xtn2 + PDstandardNth3beta2*Xtn3)); + + Xt3rhsL = kthird*(gtu31*(PDstandardNth11beta1 + PDstandardNth12beta2 + + 7*PDstandardNth13beta3) + 3*(PDupwindNth1(Xt3, i, j, k)*beta1L + + PDupwindNth2(Xt3, i, j, k)*beta2L + PDupwindNth3(Xt3, i, j, + k)*beta3L + gtu11*PDstandardNth11beta3 + gtu22*PDstandardNth22beta3) + + gtu32*(PDstandardNth12beta1 + PDstandardNth22beta2 + + 7*PDstandardNth23beta3) + gtu33*(PDstandardNth13beta1 + + PDstandardNth23beta2 + 4*PDstandardNth33beta3) - + 6*(Atu31*PDstandardNth1alpha + Atu32*PDstandardNth2alpha + + Atu33*PDstandardNth3alpha) + 6*(gtu21*PDstandardNth12beta3 + + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + Atu33*cdphi3) + Atu11*Gt311 + + Atu22*Gt322 + 2*(Atu21*Gt312 + Atu31*Gt313 + Atu32*Gt323) + Atu33*Gt333 + - ktwothird*(gtu31*PDstandardNth1trK + gtu32*PDstandardNth2trK + + gtu33*PDstandardNth3trK))) - + 150.7964473723100754462068823974161384415*alphaL*(gtu31*S1 + gtu32*S2 + + gtu33*S3) + 2*(PDstandardNth1beta1 + PDstandardNth2beta2 + + PDstandardNth3beta3)*Xtn3 - 3*(PDstandardNth1beta3*Xtn1 + + PDstandardNth2beta3*Xtn2 + PDstandardNth3beta3*Xtn3)); + + CCTK_REAL eta = BetaDriver*IfThen(rL > + SpatialBetaDriverRadius,SpatialBetaDriverRadius*INV(rL),1); + + CCTK_REAL beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + + PDupwindNth2(beta1, i, j, k)*beta2L + PDupwindNth3(beta1, i, j, + k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; + + CCTK_REAL beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + + PDupwindNth2(beta2, i, j, k)*beta2L + PDupwindNth3(beta2, i, j, + k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; + + CCTK_REAL beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + + PDupwindNth2(beta3, i, j, k)*beta2L + PDupwindNth3(beta3, i, j, + k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; + + CCTK_REAL B1rhsL = -(B1L*eta) + ((PDupwindNth1(B1, i, j, k) - + PDupwindNth1(Xt1, i, j, k))*beta1L + (PDupwindNth2(B1, i, j, k) - + PDupwindNth2(Xt1, i, j, k))*beta2L + (PDupwindNth3(B1, i, j, k) - + PDupwindNth3(Xt1, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt1rhsL; + + CCTK_REAL B2rhsL = -(B2L*eta) + ((PDupwindNth1(B2, i, j, k) - + PDupwindNth1(Xt2, i, j, k))*beta1L + (PDupwindNth2(B2, i, j, k) - + PDupwindNth2(Xt2, i, j, k))*beta2L + (PDupwindNth3(B2, i, j, k) - + PDupwindNth3(Xt2, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt2rhsL; + + CCTK_REAL B3rhsL = -(B3L*eta) + ((PDupwindNth1(B3, i, j, k) - + PDupwindNth1(Xt3, i, j, k))*beta1L + (PDupwindNth2(B3, i, j, k) - + PDupwindNth2(Xt3, i, j, k))*beta2L + (PDupwindNth3(B3, i, j, k) - + PDupwindNth3(Xt3, i, j, k))*beta3L)*ShiftAdvectionCoeff + Xt3rhsL; /* Copy local copies back to grid functions */ @@ -528,8 +531,6 @@ void ML_BSSN_RHS1_Body(cGH const * restrict const cctkGH, int const dir, int con Xt1rhs[index] = Xt1rhsL; Xt2rhs[index] = Xt2rhsL; Xt3rhs[index] = Xt3rhsL; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_RHS1); } diff --git a/ML_BSSN/src/ML_BSSN_RHS2.c b/ML_BSSN/src/ML_BSSN_RHS2.c index 36e48b4..c73c3b9 100644 --- a/ML_BSSN/src/ML_BSSN_RHS2.c +++ b/ML_BSSN/src/ML_BSSN_RHS2.c @@ -28,20 +28,6 @@ void ML_BSSN_RHS2_Body(cGH const * restrict const cctkGH, int const dir, int con /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_RHS2_Body"); @@ -94,77 +80,7 @@ void ML_BSSN_RHS2_Body(cGH const * restrict const cctkGH, int const dir, int con cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; - // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; - // CCTK_REAL Ats11 = INITVALUE, Ats12 = INITVALUE, Ats13 = INITVALUE, Ats22 = INITVALUE, Ats23 = INITVALUE, Ats33 = INITVALUE; - // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; - // CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; - // CCTK_REAL detgt = INITVALUE; - // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - // CCTK_REAL e4phi = INITVALUE; - // CCTK_REAL em4phi = INITVALUE; - // CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; - // CCTK_REAL g11 = INITVALUE; - // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE; - // CCTK_REAL g12 = INITVALUE; - // CCTK_REAL G122 = INITVALUE, G123 = INITVALUE; - // CCTK_REAL g13 = INITVALUE; - // CCTK_REAL G133 = INITVALUE, G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE; - // CCTK_REAL g22 = INITVALUE; - // CCTK_REAL G222 = INITVALUE, G223 = INITVALUE; - // CCTK_REAL g23 = INITVALUE; - // CCTK_REAL G233 = INITVALUE, G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE; - // CCTK_REAL g33 = INITVALUE; - // CCTK_REAL G333 = INITVALUE; - // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - // CCTK_REAL Gtl111 = INITVALUE, Gtl112 = INITVALUE, Gtl113 = INITVALUE, Gtl122 = INITVALUE, Gtl123 = INITVALUE, Gtl133 = INITVALUE; - // CCTK_REAL Gtl211 = INITVALUE, Gtl212 = INITVALUE, Gtl213 = INITVALUE, Gtl222 = INITVALUE, Gtl223 = INITVALUE, Gtl233 = INITVALUE; - // CCTK_REAL Gtl311 = INITVALUE, Gtl312 = INITVALUE, Gtl313 = INITVALUE, Gtl322 = INITVALUE, Gtl323 = INITVALUE, Gtl333 = INITVALUE; - // CCTK_REAL Gtlu111 = INITVALUE, Gtlu112 = INITVALUE, Gtlu113 = INITVALUE, Gtlu121 = INITVALUE, Gtlu122 = INITVALUE, Gtlu123 = INITVALUE; - // CCTK_REAL Gtlu131 = INITVALUE, Gtlu132 = INITVALUE, Gtlu133 = INITVALUE, Gtlu211 = INITVALUE, Gtlu212 = INITVALUE, Gtlu213 = INITVALUE; - // CCTK_REAL Gtlu221 = INITVALUE, Gtlu222 = INITVALUE, Gtlu223 = INITVALUE, Gtlu231 = INITVALUE, Gtlu232 = INITVALUE, Gtlu233 = INITVALUE; - // CCTK_REAL Gtlu311 = INITVALUE, Gtlu312 = INITVALUE, Gtlu313 = INITVALUE, Gtlu321 = INITVALUE, Gtlu322 = INITVALUE, Gtlu323 = INITVALUE; - // CCTK_REAL Gtlu331 = INITVALUE, Gtlu332 = INITVALUE, Gtlu333 = INITVALUE; - // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; - // CCTK_REAL rho = INITVALUE; - // CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; - // CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; - // CCTK_REAL trAts = INITVALUE; - // CCTK_REAL trS = INITVALUE; - // CCTK_REAL Xtn1 = INITVALUE, Xtn2 = INITVALUE, Xtn3 = INITVALUE; - - /* Declare local copies of grid functions */ - // CCTK_REAL AL = INITVALUE; - // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; - // CCTK_REAL ArhsL = INITVALUE; - // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; - // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; - // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - // CCTK_REAL eTttL = INITVALUE; - // CCTK_REAL eTtxL = INITVALUE; - // CCTK_REAL eTtyL = INITVALUE; - // CCTK_REAL eTtzL = INITVALUE; - // CCTK_REAL eTxxL = INITVALUE; - // CCTK_REAL eTxyL = INITVALUE; - // CCTK_REAL eTxzL = INITVALUE; - // CCTK_REAL eTyyL = INITVALUE; - // CCTK_REAL eTyzL = INITVALUE; - // CCTK_REAL eTzzL = INITVALUE; - // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - // CCTK_REAL phiL = INITVALUE; - // CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; - // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ // CCTK_REAL PDstandardNth1alpha = INITVALUE; // CCTK_REAL PDstandardNth2alpha = INITVALUE; @@ -258,44 +174,43 @@ void ML_BSSN_RHS2_Body(cGH const * restrict const cctkGH, int const dir, int con // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; /* Assign local copies of grid functions */ - CCTK_REAL const AL = A[index]; - CCTK_REAL const alphaL = alpha[index]; - CCTK_REAL const At11L = At11[index]; - CCTK_REAL const At12L = At12[index]; - CCTK_REAL const At13L = At13[index]; - CCTK_REAL const At22L = At22[index]; - CCTK_REAL const At23L = At23[index]; - CCTK_REAL const At33L = At33[index]; - CCTK_REAL const beta1L = beta1[index]; - CCTK_REAL const beta2L = beta2[index]; - CCTK_REAL const beta3L = beta3[index]; - CCTK_REAL const eTttL = (*stress_energy_state) ? (eTtt[index]) : 0.0; - CCTK_REAL const eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0; - CCTK_REAL const eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0; - CCTK_REAL const eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0; - CCTK_REAL const eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; - CCTK_REAL const eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; - CCTK_REAL const eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; - CCTK_REAL const eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; - CCTK_REAL const eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; - CCTK_REAL const eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; - CCTK_REAL const gt11L = gt11[index]; - CCTK_REAL const gt12L = gt12[index]; - CCTK_REAL const gt13L = gt13[index]; - CCTK_REAL const gt22L = gt22[index]; - CCTK_REAL const gt23L = gt23[index]; - CCTK_REAL const gt33L = gt33[index]; - CCTK_REAL const phiL = phi[index]; - CCTK_REAL const trKL = trK[index]; - CCTK_REAL const Xt1L = Xt1[index]; - CCTK_REAL const Xt2L = Xt2[index]; - CCTK_REAL const Xt3L = Xt3[index]; - - /* Assign local copies of subblock grid functions */ + CCTK_REAL AL = A[index]; + CCTK_REAL alphaL = alpha[index]; + CCTK_REAL At11L = At11[index]; + CCTK_REAL At12L = At12[index]; + CCTK_REAL At13L = At13[index]; + CCTK_REAL At22L = At22[index]; + CCTK_REAL At23L = At23[index]; + CCTK_REAL At33L = At33[index]; + CCTK_REAL beta1L = beta1[index]; + CCTK_REAL beta2L = beta2[index]; + CCTK_REAL beta3L = beta3[index]; + CCTK_REAL eTttL = (*stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL gt11L = gt11[index]; + CCTK_REAL gt12L = gt12[index]; + CCTK_REAL gt13L = gt13[index]; + CCTK_REAL gt22L = gt22[index]; + CCTK_REAL gt23L = gt23[index]; + CCTK_REAL gt33L = gt33[index]; + CCTK_REAL phiL = phi[index]; + CCTK_REAL trKL = trK[index]; + CCTK_REAL trKrhsL = trKrhs[index]; + CCTK_REAL Xt1L = Xt1[index]; + CCTK_REAL Xt2L = Xt2[index]; + CCTK_REAL Xt3L = Xt3[index]; /* Include user supplied include files */ - /* Precompute derivatives (new style) */ + /* Precompute derivatives */ CCTK_REAL const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); CCTK_REAL const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); CCTK_REAL const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); @@ -387,448 +302,545 @@ void ML_BSSN_RHS2_Body(cGH const * restrict const cctkGH, int const dir, int con CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - /* Precompute derivatives (old style) */ - /* Calculate temporaries and grid functions */ - int const dir1 = Sign(beta1L); - - int const dir2 = Sign(beta2L); - - int const dir3 = Sign(beta3L); - - CCTK_REAL const detgt = 1; - - CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + int dir1 = Sign(beta1L); - CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + int dir2 = Sign(beta2L); - CCTK_REAL const Gtl111 = khalf*PDstandardNth1gt11; + int dir3 = Sign(beta3L); - CCTK_REAL const Gtl112 = khalf*PDstandardNth2gt11; + CCTK_REAL detgt = 1; - CCTK_REAL const Gtl113 = khalf*PDstandardNth3gt11; + CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL const Gtl122 = -(khalf*PDstandardNth1gt22) + PDstandardNth2gt12; + CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL const Gtl123 = khalf*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12); + CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL const Gtl133 = -(khalf*PDstandardNth1gt33) + PDstandardNth3gt13; + CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL const Gtl211 = PDstandardNth1gt12 - khalf*PDstandardNth2gt11; + CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL const Gtl212 = khalf*PDstandardNth1gt22; + CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL const Gtl213 = khalf*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12); + CCTK_REAL Gtl111 = khalf*PDstandardNth1gt11; - CCTK_REAL const Gtl222 = khalf*PDstandardNth2gt22; + CCTK_REAL Gtl112 = khalf*PDstandardNth2gt11; - CCTK_REAL const Gtl223 = khalf*PDstandardNth3gt22; + CCTK_REAL Gtl113 = khalf*PDstandardNth3gt11; - CCTK_REAL const Gtl233 = -(khalf*PDstandardNth2gt33) + PDstandardNth3gt23; + CCTK_REAL Gtl122 = -(khalf*PDstandardNth1gt22) + PDstandardNth2gt12; - CCTK_REAL const Gtl311 = PDstandardNth1gt13 - khalf*PDstandardNth3gt11; + CCTK_REAL Gtl123 = khalf*(-PDstandardNth1gt23 + PDstandardNth2gt13 + + PDstandardNth3gt12); - CCTK_REAL const Gtl312 = khalf*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12); + CCTK_REAL Gtl133 = -(khalf*PDstandardNth1gt33) + PDstandardNth3gt13; - CCTK_REAL const Gtl313 = khalf*PDstandardNth1gt33; + CCTK_REAL Gtl211 = PDstandardNth1gt12 - khalf*PDstandardNth2gt11; - CCTK_REAL const Gtl322 = PDstandardNth2gt23 - khalf*PDstandardNth3gt22; + CCTK_REAL Gtl212 = khalf*PDstandardNth1gt22; - CCTK_REAL const Gtl323 = khalf*PDstandardNth2gt33; + CCTK_REAL Gtl213 = khalf*(PDstandardNth1gt23 - PDstandardNth2gt13 + + PDstandardNth3gt12); - CCTK_REAL const Gtl333 = khalf*PDstandardNth3gt33; + CCTK_REAL Gtl222 = khalf*PDstandardNth2gt22; - CCTK_REAL const Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; + CCTK_REAL Gtl223 = khalf*PDstandardNth3gt22; - CCTK_REAL const Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; + CCTK_REAL Gtl233 = -(khalf*PDstandardNth2gt33) + PDstandardNth3gt23; - CCTK_REAL const Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; + CCTK_REAL Gtl311 = PDstandardNth1gt13 - khalf*PDstandardNth3gt11; - CCTK_REAL const Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; + CCTK_REAL Gtl312 = khalf*(PDstandardNth1gt23 + PDstandardNth2gt13 - + PDstandardNth3gt12); - CCTK_REAL const Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; + CCTK_REAL Gtl313 = khalf*PDstandardNth1gt33; - CCTK_REAL const Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; + CCTK_REAL Gtl322 = PDstandardNth2gt23 - khalf*PDstandardNth3gt22; - CCTK_REAL const Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; + CCTK_REAL Gtl323 = khalf*PDstandardNth2gt33; - CCTK_REAL const Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; + CCTK_REAL Gtl333 = khalf*PDstandardNth3gt33; - CCTK_REAL const Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; + CCTK_REAL Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; - CCTK_REAL const Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; + CCTK_REAL Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; - CCTK_REAL const Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; + CCTK_REAL Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; - CCTK_REAL const Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; + CCTK_REAL Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; - CCTK_REAL const Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; + CCTK_REAL Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; - CCTK_REAL const Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; + CCTK_REAL Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; - CCTK_REAL const Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; + CCTK_REAL Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; - CCTK_REAL const Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; + CCTK_REAL Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; - CCTK_REAL const Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; + CCTK_REAL Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; - CCTK_REAL const Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; + CCTK_REAL Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; - CCTK_REAL const Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; + CCTK_REAL Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; - CCTK_REAL const Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; + CCTK_REAL Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; - CCTK_REAL const Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; + CCTK_REAL Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; - CCTK_REAL const Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; + CCTK_REAL Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; - CCTK_REAL const Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; + CCTK_REAL Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; - CCTK_REAL const Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; + CCTK_REAL Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; - CCTK_REAL const Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; + CCTK_REAL Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; - CCTK_REAL const Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; + CCTK_REAL Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; - CCTK_REAL const Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; + CCTK_REAL Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; - CCTK_REAL const Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; + CCTK_REAL Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; - CCTK_REAL const Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; + CCTK_REAL Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; - CCTK_REAL const Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; + CCTK_REAL Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; - CCTK_REAL const Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; + CCTK_REAL Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; - CCTK_REAL const Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; + CCTK_REAL Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; - CCTK_REAL const Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; + CCTK_REAL Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; - CCTK_REAL const Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; + CCTK_REAL Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; - CCTK_REAL const Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; + CCTK_REAL Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; - CCTK_REAL const Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; + CCTK_REAL Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; - CCTK_REAL const Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; + CCTK_REAL Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; - CCTK_REAL const Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; + CCTK_REAL Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; - CCTK_REAL const Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; + CCTK_REAL Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; - CCTK_REAL const Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; + CCTK_REAL Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; - CCTK_REAL const Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; + CCTK_REAL Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; - CCTK_REAL const Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; + CCTK_REAL Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; - CCTK_REAL const Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; + CCTK_REAL Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; - CCTK_REAL const Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; + CCTK_REAL Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; - CCTK_REAL const Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; + CCTK_REAL Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; - CCTK_REAL const Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + CCTK_REAL Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; - CCTK_REAL const Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + CCTK_REAL Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; - CCTK_REAL const Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + CCTK_REAL Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; - CCTK_REAL const Rt11 = 3*(Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113) + - 2*(Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + Gt312*Gtlu132 + Gt313*Gtlu133) + Gt211*Gtlu211 + - Gt212*Gtlu212 + Gt213*Gtlu213 + Gt311*Gtlu311 + Gt312*Gtlu312 + Gt313*Gtlu313 + gt11L*PDstandardNth1Xt1 + - gt12L*PDstandardNth1Xt2 + gt13L*PDstandardNth1Xt3 + - khalf*(-(gtu11*PDstandardNth11gt11) - 2*gtu21*PDstandardNth12gt11 - 2*gtu31*PDstandardNth13gt11 - - gtu22*PDstandardNth22gt11 - 2*gtu32*PDstandardNth23gt11 - gtu33*PDstandardNth33gt11) + Gtl111*Xtn1 + - Gtl112*Xtn2 + Gtl113*Xtn3; + CCTK_REAL Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; - CCTK_REAL const Rt12 = khalf*(4*(Gt211*Gtlu221 + Gt212*Gtlu222 + Gt213*Gtlu223) + - 2*(Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + Gt111*Gtlu121 + Gt212*Gtlu121 + Gt112*Gtlu122 + - Gt222*Gtlu122 + Gt113*Gtlu123 + Gt223*Gtlu123 + Gt312*Gtlu131 + Gt322*Gtlu132 + Gt323*Gtlu133 + - Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + Gt311*Gtlu231 + Gt312*Gtlu232 + Gt313*Gtlu233 + - Gt311*Gtlu321 + Gt312*Gtlu322 + Gt313*Gtlu323) - gtu11*PDstandardNth11gt12 - 2*gtu21*PDstandardNth12gt12 - - 2*gtu31*PDstandardNth13gt12 + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - - gtu22*PDstandardNth22gt12 - 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + - gt13L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt12 + Gtl112*Xtn1 + Gtl211*Xtn1 + Gtl122*Xtn2 + Gtl212*Xtn2 + - Gtl123*Xtn3 + Gtl213*Xtn3); + CCTK_REAL Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; - CCTK_REAL const Rt13 = khalf*(2*(Gt113*Gtlu111 + Gt123*Gtlu112 + Gt133*Gtlu113 + Gt213*Gtlu121 + Gt223*Gtlu122 + Gt233*Gtlu123 + - Gt111*Gtlu131 + Gt313*Gtlu131 + Gt112*Gtlu132 + Gt323*Gtlu132 + Gt113*Gtlu133 + Gt333*Gtlu133 + - Gt211*Gtlu231 + Gt212*Gtlu232 + Gt213*Gtlu233 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + - Gt211*Gtlu321 + Gt212*Gtlu322 + Gt213*Gtlu323) + 4*(Gt311*Gtlu331 + Gt312*Gtlu332 + Gt313*Gtlu333) - - gtu11*PDstandardNth11gt13 - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + gt13L*PDstandardNth1Xt1 + - gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - 2*gtu32*PDstandardNth23gt13 - - gtu33*PDstandardNth33gt13 + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + gt13L*PDstandardNth3Xt3 + - Gtl113*Xtn1 + Gtl311*Xtn1 + Gtl123*Xtn2 + Gtl312*Xtn2 + Gtl133*Xtn3 + Gtl313*Xtn3); + CCTK_REAL Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; - CCTK_REAL const Rt22 = Gt112*(Gtlu121 + 2*Gtlu211) + Gt122*(Gtlu122 + 2*Gtlu212) + Gt123*(Gtlu123 + 2*Gtlu213) + - 3*(Gt212*Gtlu221 + Gt222*Gtlu222 + Gt223*Gtlu223) + 2*(Gt312*Gtlu231 + Gt322*Gtlu232 + Gt323*Gtlu233) + - Gt312*Gtlu321 + Gt322*Gtlu322 + Gt323*Gtlu323 + gt12L*PDstandardNth2Xt1 + gt22L*PDstandardNth2Xt2 + - gt23L*PDstandardNth2Xt3 + khalf*(-(gtu11*PDstandardNth11gt22) - 2*gtu21*PDstandardNth12gt22 - - 2*gtu31*PDstandardNth13gt22 - gtu22*PDstandardNth22gt22 - 2*gtu32*PDstandardNth23gt22 - gtu33*PDstandardNth33gt22 - ) + Gtl212*Xtn1 + Gtl222*Xtn2 + Gtl223*Xtn3; + CCTK_REAL Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; - CCTK_REAL const Rt23 = khalf*(2*(Gt112*Gtlu131 + Gt122*Gtlu132 + Gt123*Gtlu133 + Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + - Gt213*Gtlu221 + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt212*Gtlu231 + Gt313*Gtlu231 + Gt222*Gtlu232 + - Gt323*Gtlu232 + Gt223*Gtlu233 + Gt333*Gtlu233 + Gt112*Gtlu311 + Gt122*Gtlu312 + Gt123*Gtlu313 + - Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323) + 4*(Gt312*Gtlu331 + Gt322*Gtlu332 + Gt323*Gtlu333) - - gtu11*PDstandardNth11gt23 - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - - gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + - gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + - gt23L*PDstandardNth3Xt3 + Gtl213*Xtn1 + Gtl312*Xtn1 + Gtl223*Xtn2 + Gtl322*Xtn2 + Gtl233*Xtn3 + Gtl323*Xtn3); + CCTK_REAL Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; - CCTK_REAL const Rt33 = Gt113*(Gtlu131 + 2*Gtlu311) + Gt123*(Gtlu132 + 2*Gtlu312) + Gt133*(Gtlu133 + 2*Gtlu313) + - Gt213*(Gtlu231 + 2*Gtlu321) + Gt223*(Gtlu232 + 2*Gtlu322) + Gt233*(Gtlu233 + 2*Gtlu323) + - 3*(Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333) + - khalf*(-(gtu11*PDstandardNth11gt33) - 2*gtu21*PDstandardNth12gt33 - 2*gtu31*PDstandardNth13gt33 - - gtu22*PDstandardNth22gt33 - 2*gtu32*PDstandardNth23gt33 - gtu33*PDstandardNth33gt33) + gt13L*PDstandardNth3Xt1 + - gt23L*PDstandardNth3Xt2 + gt33L*PDstandardNth3Xt3 + Gtl313*Xtn1 + Gtl323*Xtn2 + Gtl333*Xtn3; + CCTK_REAL Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - CCTK_REAL const fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + CCTK_REAL Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - CCTK_REAL const cdphi1 = fac1*PDstandardNth1phi; + CCTK_REAL Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - CCTK_REAL const cdphi2 = fac1*PDstandardNth2phi; + CCTK_REAL Rt11 = 3*(Gt111*Gtlu111 + Gt112*Gtlu112 + Gt113*Gtlu113) + + 2*(Gt211*Gtlu121 + Gt212*Gtlu122 + Gt213*Gtlu123 + Gt311*Gtlu131 + + Gt312*Gtlu132 + Gt313*Gtlu133) + Gt211*Gtlu211 + Gt212*Gtlu212 + + Gt213*Gtlu213 + Gt311*Gtlu311 + Gt312*Gtlu312 + Gt313*Gtlu313 + + gt11L*PDstandardNth1Xt1 + gt12L*PDstandardNth1Xt2 + + gt13L*PDstandardNth1Xt3 + khalf*(-(gtu11*PDstandardNth11gt11) - + 2*gtu21*PDstandardNth12gt11 - 2*gtu31*PDstandardNth13gt11 - + gtu22*PDstandardNth22gt11 - 2*gtu32*PDstandardNth23gt11 - + gtu33*PDstandardNth33gt11) + Gtl111*Xtn1 + Gtl112*Xtn2 + Gtl113*Xtn3; - CCTK_REAL const cdphi3 = fac1*PDstandardNth3phi; + CCTK_REAL Rt12 = khalf*(4*(Gt211*Gtlu221 + Gt212*Gtlu222 + + Gt213*Gtlu223) + 2*(Gt112*Gtlu111 + Gt122*Gtlu112 + Gt123*Gtlu113 + + Gt111*Gtlu121 + Gt212*Gtlu121 + Gt112*Gtlu122 + Gt222*Gtlu122 + + Gt113*Gtlu123 + Gt223*Gtlu123 + Gt312*Gtlu131 + Gt322*Gtlu132 + + Gt323*Gtlu133 + Gt111*Gtlu211 + Gt112*Gtlu212 + Gt113*Gtlu213 + + Gt311*Gtlu231 + Gt312*Gtlu232 + Gt313*Gtlu233 + Gt311*Gtlu321 + + Gt312*Gtlu322 + Gt313*Gtlu323) - gtu11*PDstandardNth11gt12 - + 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - + 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - + gtu33*PDstandardNth33gt12 + Gtl112*Xtn1 + Gtl211*Xtn1 + Gtl122*Xtn2 + + Gtl212*Xtn2 + Gtl123*Xtn3 + Gtl213*Xtn3); - CCTK_REAL const fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + CCTK_REAL Rt13 = khalf*(2*(Gt113*Gtlu111 + Gt123*Gtlu112 + + Gt133*Gtlu113 + Gt213*Gtlu121 + Gt223*Gtlu122 + Gt233*Gtlu123 + + Gt111*Gtlu131 + Gt313*Gtlu131 + Gt112*Gtlu132 + Gt323*Gtlu132 + + Gt113*Gtlu133 + Gt333*Gtlu133 + Gt211*Gtlu231 + Gt212*Gtlu232 + + Gt213*Gtlu233 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*Gtlu313 + + Gt211*Gtlu321 + Gt212*Gtlu322 + Gt213*Gtlu323) + 4*(Gt311*Gtlu331 + + Gt312*Gtlu332 + Gt313*Gtlu333) - gtu11*PDstandardNth11gt13 - + 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + + gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - + 2*gtu32*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + + gt13L*PDstandardNth3Xt3 + Gtl113*Xtn1 + Gtl311*Xtn1 + Gtl123*Xtn2 + + Gtl312*Xtn2 + Gtl133*Xtn3 + Gtl313*Xtn3); - CCTK_REAL const cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + - Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); + CCTK_REAL Rt22 = Gt112*(Gtlu121 + 2*Gtlu211) + Gt122*(Gtlu122 + + 2*Gtlu212) + Gt123*(Gtlu123 + 2*Gtlu213) + 3*(Gt212*Gtlu221 + + Gt222*Gtlu222 + Gt223*Gtlu223) + 2*(Gt312*Gtlu231 + Gt322*Gtlu232 + + Gt323*Gtlu233) + Gt312*Gtlu321 + Gt322*Gtlu322 + Gt323*Gtlu323 + + gt12L*PDstandardNth2Xt1 + gt22L*PDstandardNth2Xt2 + + gt23L*PDstandardNth2Xt3 + khalf*(-(gtu11*PDstandardNth11gt22) - + 2*gtu21*PDstandardNth12gt22 - 2*gtu31*PDstandardNth13gt22 - + gtu22*PDstandardNth22gt22 - 2*gtu32*PDstandardNth23gt22 - + gtu33*PDstandardNth33gt22) + Gtl212*Xtn1 + Gtl222*Xtn2 + Gtl223*Xtn3; + + CCTK_REAL Rt23 = khalf*(2*(Gt112*Gtlu131 + Gt122*Gtlu132 + + Gt123*Gtlu133 + Gt113*Gtlu211 + Gt123*Gtlu212 + Gt133*Gtlu213 + + Gt213*Gtlu221 + Gt223*Gtlu222 + Gt233*Gtlu223 + Gt212*Gtlu231 + + Gt313*Gtlu231 + Gt222*Gtlu232 + Gt323*Gtlu232 + Gt223*Gtlu233 + + Gt333*Gtlu233 + Gt112*Gtlu311 + Gt122*Gtlu312 + Gt123*Gtlu313 + + Gt212*Gtlu321 + Gt222*Gtlu322 + Gt223*Gtlu323) + 4*(Gt312*Gtlu331 + + Gt322*Gtlu332 + Gt323*Gtlu333) - gtu11*PDstandardNth11gt23 - + 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - + gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + + gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + + gt23L*PDstandardNth3Xt3 + Gtl213*Xtn1 + Gtl312*Xtn1 + Gtl223*Xtn2 + + Gtl322*Xtn2 + Gtl233*Xtn3 + Gtl323*Xtn3); - CCTK_REAL const cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - - fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); + CCTK_REAL Rt33 = Gt113*(Gtlu131 + 2*Gtlu311) + Gt123*(Gtlu132 + + 2*Gtlu312) + Gt133*(Gtlu133 + 2*Gtlu313) + Gt213*(Gtlu231 + 2*Gtlu321) + + Gt223*(Gtlu232 + 2*Gtlu322) + Gt233*(Gtlu233 + 2*Gtlu323) + + 3*(Gt313*Gtlu331 + Gt323*Gtlu332 + Gt333*Gtlu333) + + khalf*(-(gtu11*PDstandardNth11gt33) - 2*gtu21*PDstandardNth12gt33 - + 2*gtu31*PDstandardNth13gt33 - gtu22*PDstandardNth22gt33 - + 2*gtu32*PDstandardNth23gt33 - gtu33*PDstandardNth33gt33) + + gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + + gt33L*PDstandardNth3Xt3 + Gtl313*Xtn1 + Gtl323*Xtn2 + Gtl333*Xtn3; - CCTK_REAL const cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - - fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); + CCTK_REAL fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - CCTK_REAL const cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + - Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); + CCTK_REAL cdphi1 = fac1*PDstandardNth1phi; - CCTK_REAL const cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - - fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); + CCTK_REAL cdphi2 = fac1*PDstandardNth2phi; - CCTK_REAL const cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + Gt233*PDstandardNth2phi - PDstandardNth33phi + - Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); + CCTK_REAL cdphi3 = fac1*PDstandardNth3phi; - CCTK_REAL const Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + - gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + - gtu22*(cdphi222 + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); + CCTK_REAL fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - CCTK_REAL const Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + - gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + - gtu33*(cdphi233 + 2*SQR(cdphi3)))); + CCTK_REAL cdphi211 = -(fac1*(-PDstandardNth11phi + + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); - CCTK_REAL const Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + - gt13L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + - gtu33*(cdphi233 + 2*SQR(cdphi3)))); + CCTK_REAL cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - + fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); + + CCTK_REAL cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - + fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); - CCTK_REAL const Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + - gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + cdphi3*gtu32)) + cdphi233*gtu33 + - gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); + CCTK_REAL cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - + PDstandardNth22phi + Gt222*PDstandardNth2phi + + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); + + CCTK_REAL cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - + fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); - CCTK_REAL const Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + - gt23L*(cdphi222*gtu22 + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); + CCTK_REAL cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + + Gt233*PDstandardNth2phi - PDstandardNth33phi + + Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); - CCTK_REAL const Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + - 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + gt33L*gtu33)*SQR(cdphi3)); + CCTK_REAL Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + + gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + gtu22*(cdphi222 + + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + + gtu33*SQR(cdphi3)))); - CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + CCTK_REAL Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + + 4*cdphi3*gt12L*gtu31) + gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 + + 2*SQR(cdphi3)))); - CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + CCTK_REAL Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + + cdphi3*(-2 + 4*gt13L*gtu31)) + gt13L*(cdphi211*gtu11 + + 4*cdphi2*cdphi3*gtu32 + 2*(cdphi212*gtu21 + cdphi213*gtu31 + + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + CCTK_REAL Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + + gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + + cdphi3*gtu32)) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + + gtu33*SQR(cdphi3)))); - CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + CCTK_REAL Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + + cdphi3*(-2 + 4*gt23L*gtu32)) + gt23L*(cdphi222*gtu22 + + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + CCTK_REAL Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + + 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + + 2*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + + gt33L*gtu33)*SQR(cdphi3)); - CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - CCTK_REAL const em4phi = INV(e4phi); + CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - CCTK_REAL const g11 = e4phi*gt11L; + CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - CCTK_REAL const g12 = e4phi*gt12L; + CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - CCTK_REAL const g13 = e4phi*gt13L; + CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - CCTK_REAL const g22 = e4phi*gt22L; + CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - CCTK_REAL const g23 = e4phi*gt23L; + CCTK_REAL em4phi = INV(e4phi); - CCTK_REAL const g33 = e4phi*gt33L; + CCTK_REAL g11 = e4phi*gt11L; - CCTK_REAL const gu11 = em4phi*gtu11; + CCTK_REAL g12 = e4phi*gt12L; - CCTK_REAL const gu21 = em4phi*gtu21; + CCTK_REAL g13 = e4phi*gt13L; - CCTK_REAL const gu31 = em4phi*gtu31; + CCTK_REAL g22 = e4phi*gt22L; - CCTK_REAL const gu22 = em4phi*gtu22; + CCTK_REAL g23 = e4phi*gt23L; - CCTK_REAL const gu32 = em4phi*gtu32; + CCTK_REAL g33 = e4phi*gt33L; - CCTK_REAL const gu33 = em4phi*gtu33; + CCTK_REAL gu11 = em4phi*gtu11; - CCTK_REAL const G111 = Gt111 + cdphi1*(4 - 2*gt11L*gtu11) - 2*gt11L*(cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL gu21 = em4phi*gtu21; - CCTK_REAL const G211 = Gt211 - 2*gt11L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL gu31 = em4phi*gtu31; - CCTK_REAL const G311 = Gt311 - 2*gt11L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL gu22 = em4phi*gtu22; - CCTK_REAL const G112 = Gt112 + cdphi2*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi1*gtu11 + cdphi3*gtu31); + CCTK_REAL gu32 = em4phi*gtu32; - CCTK_REAL const G212 = Gt212 + cdphi1*(2 - 2*gt12L*gtu21) - 2*gt12L*(cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL gu33 = em4phi*gtu33; - CCTK_REAL const G312 = Gt312 - 2*gt12L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL G111 = Gt111 + cdphi1*(4 - 2*gt11L*gtu11) - + 2*gt11L*(cdphi2*gtu21 + cdphi3*gtu31); - CCTK_REAL const G113 = Gt113 - 2*gt13L*(cdphi1*gtu11 + cdphi2*gtu21) + cdphi3*(2 - 2*gt13L*gtu31); + CCTK_REAL G211 = Gt211 - 2*gt11L*(cdphi1*gtu21 + cdphi2*gtu22 + + cdphi3*gtu32); - CCTK_REAL const G213 = Gt213 - 2*gt13L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL G311 = Gt311 - 2*gt11L*(cdphi1*gtu31 + cdphi2*gtu32 + + cdphi3*gtu33); - CCTK_REAL const G313 = Gt313 + cdphi1*(2 - 2*gt13L*gtu31) - 2*gt13L*(cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL G112 = Gt112 + cdphi2*(2 - 2*gt12L*gtu21) - + 2*gt12L*(cdphi1*gtu11 + cdphi3*gtu31); - CCTK_REAL const G122 = Gt122 - 2*gt22L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL G212 = Gt212 + cdphi1*(2 - 2*gt12L*gtu21) - + 2*gt12L*(cdphi2*gtu22 + cdphi3*gtu32); - CCTK_REAL const G222 = Gt222 + cdphi2*(4 - 2*gt22L*gtu22) - 2*gt22L*(cdphi1*gtu21 + cdphi3*gtu32); + CCTK_REAL G312 = Gt312 - 2*gt12L*(cdphi1*gtu31 + cdphi2*gtu32 + + cdphi3*gtu33); - CCTK_REAL const G322 = Gt322 - 2*gt22L*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33); + CCTK_REAL G113 = Gt113 - 2*gt13L*(cdphi1*gtu11 + cdphi2*gtu21) + + cdphi3*(2 - 2*gt13L*gtu31); - CCTK_REAL const G123 = Gt123 - 2*gt23L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL G213 = Gt213 - 2*gt13L*(cdphi1*gtu21 + cdphi2*gtu22 + + cdphi3*gtu32); - CCTK_REAL const G223 = Gt223 - 2*gt23L*(cdphi1*gtu21 + cdphi2*gtu22) + cdphi3*(2 - 2*gt23L*gtu32); + CCTK_REAL G313 = Gt313 + cdphi1*(2 - 2*gt13L*gtu31) - + 2*gt13L*(cdphi2*gtu32 + cdphi3*gtu33); - CCTK_REAL const G323 = Gt323 + cdphi2*(2 - 2*gt23L*gtu32) - 2*gt23L*(cdphi1*gtu31 + cdphi3*gtu33); + CCTK_REAL G122 = Gt122 - 2*gt22L*(cdphi1*gtu11 + cdphi2*gtu21 + + cdphi3*gtu31); - CCTK_REAL const G133 = Gt133 - 2*gt33L*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31); + CCTK_REAL G222 = Gt222 + cdphi2*(4 - 2*gt22L*gtu22) - + 2*gt22L*(cdphi1*gtu21 + cdphi3*gtu32); - CCTK_REAL const G233 = Gt233 - 2*gt33L*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32); + CCTK_REAL G322 = Gt322 - 2*gt22L*(cdphi1*gtu31 + cdphi2*gtu32 + + cdphi3*gtu33); - CCTK_REAL const G333 = Gt333 - 2*gt33L*(cdphi1*gtu31 + cdphi2*gtu32) + cdphi3*(4 - 2*gt33L*gtu33); + CCTK_REAL G123 = Gt123 - 2*gt23L*(cdphi1*gtu11 + cdphi2*gtu21 + + cdphi3*gtu31); - CCTK_REAL const R11 = Rphi11 + Rt11; + CCTK_REAL G223 = Gt223 - 2*gt23L*(cdphi1*gtu21 + cdphi2*gtu22) + + cdphi3*(2 - 2*gt23L*gtu32); - CCTK_REAL const R12 = Rphi12 + Rt12; + CCTK_REAL G323 = Gt323 + cdphi2*(2 - 2*gt23L*gtu32) - + 2*gt23L*(cdphi1*gtu31 + cdphi3*gtu33); - CCTK_REAL const R13 = Rphi13 + Rt13; + CCTK_REAL G133 = Gt133 - 2*gt33L*(cdphi1*gtu11 + cdphi2*gtu21 + + cdphi3*gtu31); - CCTK_REAL const R22 = Rphi22 + Rt22; + CCTK_REAL G233 = Gt233 - 2*gt33L*(cdphi1*gtu21 + cdphi2*gtu22 + + cdphi3*gtu32); - CCTK_REAL const R23 = Rphi23 + Rt23; + CCTK_REAL G333 = Gt333 - 2*gt33L*(cdphi1*gtu31 + cdphi2*gtu32) + + cdphi3*(4 - 2*gt33L*gtu33); - CCTK_REAL const R33 = Rphi33 + Rt33; + CCTK_REAL R11 = Rphi11 + Rt11; - CCTK_REAL const rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + beta3L*eTtzL) + - 2*(beta1L*(-eTtxL + beta2L*eTxyL + beta3L*eTxzL) + beta2L*beta3L*eTyzL) + eTxxL*SQR(beta1L) + eTyyL*SQR(beta2L) + - eTzzL*SQR(beta3L)); + CCTK_REAL R12 = Rphi12 + Rt12; - CCTK_REAL const trS = eTxxL*gu11 + eTyyL*gu22 + 2*(eTxyL*gu21 + eTxzL*gu31 + eTyzL*gu32) + eTzzL*gu33; + CCTK_REAL R13 = Rphi13 + Rt13; - CCTK_REAL const trKrhsL = PDupwindNth1(trK, i, j, k)*beta1L + PDupwindNth2(trK, i, j, k)*beta2L + - PDupwindNth3(trK, i, j, k)*beta3L + (G111*gu11 + G122*gu22 + 2.*(G112*gu21 + G113*gu31 + G123*gu32) + G133*gu33)* - PDstandardNth1alpha - 2.*(gu21*PDstandardNth12alpha + gu31*PDstandardNth13alpha + gu32*PDstandardNth23alpha) + - (G211*gu11 + G222*gu22 + 2.*(G212*gu21 + G213*gu31 + G223*gu32) + G233*gu33)*PDstandardNth2alpha - - 1.*(gu11*PDstandardNth11alpha + gu22*PDstandardNth22alpha + gu33*PDstandardNth33alpha) + - (G311*gu11 + G322*gu22 + 2.*(G313*gu31 + G323*gu32) + G333*gu33)*PDstandardNth3alpha + - 2.*(alphaL*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) + G312*gu21*PDstandardNth3alpha) + - alphaL*(12.56637061435917295385057353311801153679*(rho + trS) + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) + - 0.3333333333333333333333333333333333333333*SQR(trKL)); + CCTK_REAL R22 = Rphi22 + Rt22; - CCTK_REAL const Ats11 = -PDstandardNth11alpha + G111*PDstandardNth1alpha + G211*PDstandardNth2alpha + G311*PDstandardNth3alpha + - alphaL*R11; + CCTK_REAL R23 = Rphi23 + Rt23; - CCTK_REAL const Ats12 = -PDstandardNth12alpha + G112*PDstandardNth1alpha + G212*PDstandardNth2alpha + G312*PDstandardNth3alpha + - alphaL*R12; + CCTK_REAL R33 = Rphi33 + Rt33; - CCTK_REAL const Ats13 = -PDstandardNth13alpha + G113*PDstandardNth1alpha + G213*PDstandardNth2alpha + G313*PDstandardNth3alpha + - alphaL*R13; + CCTK_REAL rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + + beta3L*eTtzL) + 2*(beta1L*(-eTtxL + beta2L*eTxyL + beta3L*eTxzL) + + beta2L*beta3L*eTyzL) + eTxxL*SQR(beta1L) + eTyyL*SQR(beta2L) + + eTzzL*SQR(beta3L)); - CCTK_REAL const Ats22 = G122*PDstandardNth1alpha - PDstandardNth22alpha + G222*PDstandardNth2alpha + G322*PDstandardNth3alpha + - alphaL*R22; + CCTK_REAL trS = eTxxL*gu11 + eTyyL*gu22 + 2*(eTxyL*gu21 + eTxzL*gu31 + + eTyzL*gu32) + eTzzL*gu33; - CCTK_REAL const Ats23 = G123*PDstandardNth1alpha - PDstandardNth23alpha + G223*PDstandardNth2alpha + G323*PDstandardNth3alpha + - alphaL*R23; - - CCTK_REAL const Ats33 = G133*PDstandardNth1alpha + G233*PDstandardNth2alpha - PDstandardNth33alpha + G333*PDstandardNth3alpha + - alphaL*R33; - - CCTK_REAL const trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; - - CCTK_REAL const At11rhsL = -2.*alphaL*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + PDupwindNth1(At11, i, j, k)*beta1L + - PDupwindNth2(At11, i, j, k)*beta2L + PDupwindNth3(At11, i, j, k)*beta3L + - 2.*(At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + - At11L*(1.333333333333333333333333333333333333333*PDstandardNth1beta1 - - 0.6666666666666666666666666666666666666667*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + - em4phi*(Ats11 - 0.3333333333333333333333333333333333333333*g11*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTxxL + 8.377580409572781969233715688745341024526*g11*trS)); - - CCTK_REAL const At12rhsL = -2.*alphaL*(At11L*Atm12 + At12L*Atm22 + At13L*Atm32) + PDupwindNth1(At12, i, j, k)*beta1L + - PDupwindNth2(At12, i, j, k)*beta2L + PDupwindNth3(At12, i, j, k)*beta3L + At22L*PDstandardNth1beta2 + - At23L*PDstandardNth1beta3 + At11L*PDstandardNth2beta1 + At13L*PDstandardNth2beta3 + - At12L*(0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth2beta2) - - 0.6666666666666666666666666666666666666667*PDstandardNth3beta3 + alphaL*trKL) + - em4phi*(Ats12 - 0.3333333333333333333333333333333333333333*g12*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTxyL + 8.377580409572781969233715688745341024526*g12*trS)); - - CCTK_REAL const At13rhsL = -2.*alphaL*(At11L*Atm13 + At12L*Atm23 + At13L*Atm33) + PDupwindNth1(At13, i, j, k)*beta1L + - PDupwindNth2(At13, i, j, k)*beta2L + PDupwindNth3(At13, i, j, k)*beta3L + At23L*PDstandardNth1beta2 + - At33L*PDstandardNth1beta3 + At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + - At13L*(-0.6666666666666666666666666666666666666667*PDstandardNth2beta2 + - 0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + - em4phi*(Ats13 - 0.3333333333333333333333333333333333333333*g13*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTxzL + 8.377580409572781969233715688745341024526*g13*trS)); - - CCTK_REAL const At22rhsL = -2.*alphaL*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + PDupwindNth1(At22, i, j, k)*beta1L + - PDupwindNth2(At22, i, j, k)*beta2L + PDupwindNth3(At22, i, j, k)*beta3L + - 2.*(At12L*PDstandardNth2beta1 + At23L*PDstandardNth2beta3) + - At22L*(1.333333333333333333333333333333333333333*PDstandardNth2beta2 - - 0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth3beta3) + alphaL*trKL) + - em4phi*(Ats22 - 0.3333333333333333333333333333333333333333*g22*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTyyL + 8.377580409572781969233715688745341024526*g22*trS)); - - CCTK_REAL const At23rhsL = -2.*alphaL*(At12L*Atm13 + At22L*Atm23 + At23L*Atm33) + PDupwindNth1(At23, i, j, k)*beta1L + - PDupwindNth2(At23, i, j, k)*beta2L + PDupwindNth3(At23, i, j, k)*beta3L + At13L*PDstandardNth2beta1 + - At33L*PDstandardNth2beta3 + At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + - At23L*(-0.6666666666666666666666666666666666666667*PDstandardNth1beta1 + - 0.3333333333333333333333333333333333333333*(PDstandardNth2beta2 + PDstandardNth3beta3) + alphaL*trKL) + - em4phi*(Ats23 - 0.3333333333333333333333333333333333333333*g23*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTyzL + 8.377580409572781969233715688745341024526*g23*trS)); - - CCTK_REAL const At33rhsL = -2.*alphaL*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + PDupwindNth1(At33, i, j, k)*beta1L + - PDupwindNth2(At33, i, j, k)*beta2L + PDupwindNth3(At33, i, j, k)*beta3L + - 2.*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2) + - At33L*(-0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + PDstandardNth2beta2) + - 1.333333333333333333333333333333333333333*PDstandardNth3beta3 + alphaL*trKL) + - em4phi*(Ats33 - 0.3333333333333333333333333333333333333333*g33*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTzzL + 8.377580409572781969233715688745341024526*g33*trS)); - - CCTK_REAL const alpharhsL = (PDupwindNth1(alpha, i, j, k)*beta1L + PDupwindNth2(alpha, i, j, k)*beta2L + - PDupwindNth3(alpha, i, j, k)*beta3L)*LapseAdvectionCoeff + - harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - - CCTK_REAL const ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - trKrhsL); + trKrhsL = PDupwindNth1(trK, i, j, k)*beta1L + PDupwindNth2(trK, i, + j, k)*beta2L + PDupwindNth3(trK, i, j, k)*beta3L + (G111*gu11 + + G122*gu22 + 2.*(G112*gu21 + G113*gu31 + G123*gu32) + + G133*gu33)*PDstandardNth1alpha - 2.*(gu21*PDstandardNth12alpha + + gu31*PDstandardNth13alpha + gu32*PDstandardNth23alpha) + (G211*gu11 + + G222*gu22 + 2.*(G212*gu21 + G213*gu31 + G223*gu32) + + G233*gu33)*PDstandardNth2alpha - 1.*(gu11*PDstandardNth11alpha + + gu22*PDstandardNth22alpha + gu33*PDstandardNth33alpha) + (G311*gu11 + + G322*gu22 + 2.*(G313*gu31 + G323*gu32) + G333*gu33)*PDstandardNth3alpha + + 2.*(alphaL*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) + + G312*gu21*PDstandardNth3alpha) + + alphaL*(12.56637061435917295385057353311801153679*(rho + trS) + + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) + + 0.3333333333333333333333333333333333333333*SQR(trKL)); + + CCTK_REAL Ats11 = -PDstandardNth11alpha + G111*PDstandardNth1alpha + + G211*PDstandardNth2alpha + G311*PDstandardNth3alpha + alphaL*R11; + + CCTK_REAL Ats12 = -PDstandardNth12alpha + G112*PDstandardNth1alpha + + G212*PDstandardNth2alpha + G312*PDstandardNth3alpha + alphaL*R12; + + CCTK_REAL Ats13 = -PDstandardNth13alpha + G113*PDstandardNth1alpha + + G213*PDstandardNth2alpha + G313*PDstandardNth3alpha + alphaL*R13; + + CCTK_REAL Ats22 = G122*PDstandardNth1alpha - PDstandardNth22alpha + + G222*PDstandardNth2alpha + G322*PDstandardNth3alpha + alphaL*R22; + + CCTK_REAL Ats23 = G123*PDstandardNth1alpha - PDstandardNth23alpha + + G223*PDstandardNth2alpha + G323*PDstandardNth3alpha + alphaL*R23; + + CCTK_REAL Ats33 = G133*PDstandardNth1alpha + G233*PDstandardNth2alpha + - PDstandardNth33alpha + G333*PDstandardNth3alpha + alphaL*R33; + + CCTK_REAL trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 + + Ats23*gu32) + Ats33*gu33; + + CCTK_REAL At11rhsL = -2.*alphaL*(At11L*Atm11 + At12L*Atm21 + + At13L*Atm31) + PDupwindNth1(At11, i, j, k)*beta1L + + PDupwindNth2(At11, i, j, k)*beta2L + PDupwindNth3(At11, i, j, + k)*beta3L + 2.*(At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + + At11L*(1.333333333333333333333333333333333333333*PDstandardNth1beta1 + - 0.6666666666666666666666666666666666666667*(PDstandardNth2beta2 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats11 - + 0.3333333333333333333333333333333333333333*g11*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxxL + + 8.377580409572781969233715688745341024526*g11*trS)); + + CCTK_REAL At12rhsL = -2.*alphaL*(At11L*Atm12 + At12L*Atm22 + + At13L*Atm32) + PDupwindNth1(At12, i, j, k)*beta1L + + PDupwindNth2(At12, i, j, k)*beta2L + PDupwindNth3(At12, i, j, + k)*beta3L + At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3 + + At11L*PDstandardNth2beta1 + At13L*PDstandardNth2beta3 + + At12L*(0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + + PDstandardNth2beta2) - + 0.6666666666666666666666666666666666666667*PDstandardNth3beta3 + + alphaL*trKL) + em4phi*(Ats12 - + 0.3333333333333333333333333333333333333333*g12*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxyL + + 8.377580409572781969233715688745341024526*g12*trS)); + + CCTK_REAL At13rhsL = -2.*alphaL*(At11L*Atm13 + At12L*Atm23 + + At13L*Atm33) + PDupwindNth1(At13, i, j, k)*beta1L + + PDupwindNth2(At13, i, j, k)*beta2L + PDupwindNth3(At13, i, j, + k)*beta3L + At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3 + + At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + + At13L*(-0.6666666666666666666666666666666666666667*PDstandardNth2beta2 + + 0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats13 - + 0.3333333333333333333333333333333333333333*g13*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxzL + + 8.377580409572781969233715688745341024526*g13*trS)); + + CCTK_REAL At22rhsL = -2.*alphaL*(At12L*Atm12 + At22L*Atm22 + + At23L*Atm32) + PDupwindNth1(At22, i, j, k)*beta1L + + PDupwindNth2(At22, i, j, k)*beta2L + PDupwindNth3(At22, i, j, + k)*beta3L + 2.*(At12L*PDstandardNth2beta1 + At23L*PDstandardNth2beta3) + + At22L*(1.333333333333333333333333333333333333333*PDstandardNth2beta2 + - 0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats22 - + 0.3333333333333333333333333333333333333333*g22*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTyyL + + 8.377580409572781969233715688745341024526*g22*trS)); + + CCTK_REAL At23rhsL = -2.*alphaL*(At12L*Atm13 + At22L*Atm23 + + At23L*Atm33) + PDupwindNth1(At23, i, j, k)*beta1L + + PDupwindNth2(At23, i, j, k)*beta2L + PDupwindNth3(At23, i, j, + k)*beta3L + At13L*PDstandardNth2beta1 + At33L*PDstandardNth2beta3 + + At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + + At23L*(-0.6666666666666666666666666666666666666667*PDstandardNth1beta1 + + 0.3333333333333333333333333333333333333333*(PDstandardNth2beta2 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats23 - + 0.3333333333333333333333333333333333333333*g23*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTyzL + + 8.377580409572781969233715688745341024526*g23*trS)); + + CCTK_REAL At33rhsL = -2.*alphaL*(At13L*Atm13 + At23L*Atm23 + + At33L*Atm33) + PDupwindNth1(At33, i, j, k)*beta1L + + PDupwindNth2(At33, i, j, k)*beta2L + PDupwindNth3(At33, i, j, + k)*beta3L + 2.*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2) + + + At33L*(-0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + + PDstandardNth2beta2) + + 1.333333333333333333333333333333333333333*PDstandardNth3beta3 + + alphaL*trKL) + em4phi*(Ats33 - + 0.3333333333333333333333333333333333333333*g33*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTzzL + + 8.377580409572781969233715688745341024526*g33*trS)); + + CCTK_REAL alpharhsL = (PDupwindNth1(alpha, i, j, k)*beta1L + + PDupwindNth2(alpha, i, j, k)*beta2L + PDupwindNth3(alpha, i, j, + k)*beta3L)*LapseAdvectionCoeff + harmonicF*(AL*(-1 + + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + + CCTK_REAL ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - + trKrhsL); /* Copy local copies back to grid functions */ @@ -841,8 +853,6 @@ void ML_BSSN_RHS2_Body(cGH const * restrict const cctkGH, int const dir, int con At23rhs[index] = At23rhsL; At33rhs[index] = At33rhsL; trKrhs[index] = trKrhsL; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_RHS2); } diff --git a/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.c b/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.c index d85f2c8..4f2563f 100644 --- a/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.c +++ b/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.c @@ -28,20 +28,6 @@ void ML_BSSN_RHSRadiativeBoundary_Body(cGH const * restrict const cctkGH, int co /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_RHSRadiativeBoundary_Body"); @@ -94,186 +80,174 @@ void ML_BSSN_RHSRadiativeBoundary_Body(cGH const * restrict const cctkGH, int co cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - // CCTK_REAL detgt = INITVALUE; - // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - // CCTK_REAL em4phi = INITVALUE; - // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - // CCTK_REAL nlen = INITVALUE, nlen2 = INITVALUE; - // CCTK_REAL nn1 = INITVALUE, nn2 = INITVALUE, nn3 = INITVALUE; - // CCTK_REAL nu1 = INITVALUE, nu2 = INITVALUE, nu3 = INITVALUE; - // CCTK_REAL su1 = INITVALUE, su2 = INITVALUE, su3 = INITVALUE; - // CCTK_REAL vg = INITVALUE; - - /* Declare local copies of grid functions */ - // CCTK_REAL AL = INITVALUE; - // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; - // CCTK_REAL ArhsL = INITVALUE; - // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; - // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; - // CCTK_REAL B1L = INITVALUE, B1rhsL = INITVALUE, B2L = INITVALUE, B2rhsL = INITVALUE, B3L = INITVALUE, B3rhsL = INITVALUE; - // CCTK_REAL beta1L = INITVALUE, beta1rhsL = INITVALUE, beta2L = INITVALUE, beta2rhsL = INITVALUE, beta3L = INITVALUE, beta3rhsL = INITVALUE; - // CCTK_REAL gt11L = INITVALUE, gt11rhsL = INITVALUE, gt12L = INITVALUE, gt12rhsL = INITVALUE, gt13L = INITVALUE, gt13rhsL = INITVALUE; - // CCTK_REAL gt22L = INITVALUE, gt22rhsL = INITVALUE, gt23L = INITVALUE, gt23rhsL = INITVALUE, gt33L = INITVALUE, gt33rhsL = INITVALUE; - // CCTK_REAL phiL = INITVALUE, phirhsL = INITVALUE; - // CCTK_REAL trKL = INITVALUE, trKrhsL = INITVALUE; - // CCTK_REAL Xt1L = INITVALUE, Xt1rhsL = INITVALUE, Xt2L = INITVALUE, Xt2rhsL = INITVALUE, Xt3L = INITVALUE, Xt3rhsL = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ /* Assign local copies of grid functions */ - CCTK_REAL const AL = A[index]; - CCTK_REAL const alphaL = alpha[index]; - CCTK_REAL const At11L = At11[index]; - CCTK_REAL const At12L = At12[index]; - CCTK_REAL const At13L = At13[index]; - CCTK_REAL const At22L = At22[index]; - CCTK_REAL const At23L = At23[index]; - CCTK_REAL const At33L = At33[index]; - CCTK_REAL const B1L = B1[index]; - CCTK_REAL const B2L = B2[index]; - CCTK_REAL const B3L = B3[index]; - CCTK_REAL const beta1L = beta1[index]; - CCTK_REAL const beta2L = beta2[index]; - CCTK_REAL const beta3L = beta3[index]; - CCTK_REAL const gt11L = gt11[index]; - CCTK_REAL const gt12L = gt12[index]; - CCTK_REAL const gt13L = gt13[index]; - CCTK_REAL const gt22L = gt22[index]; - CCTK_REAL const gt23L = gt23[index]; - CCTK_REAL const gt33L = gt33[index]; - CCTK_REAL const phiL = phi[index]; - CCTK_REAL const trKL = trK[index]; - CCTK_REAL const Xt1L = Xt1[index]; - CCTK_REAL const Xt2L = Xt2[index]; - CCTK_REAL const Xt3L = Xt3[index]; - - /* Assign local copies of subblock grid functions */ + CCTK_REAL AL = A[index]; + CCTK_REAL alphaL = alpha[index]; + CCTK_REAL At11L = At11[index]; + CCTK_REAL At12L = At12[index]; + CCTK_REAL At13L = At13[index]; + CCTK_REAL At22L = At22[index]; + CCTK_REAL At23L = At23[index]; + CCTK_REAL At33L = At33[index]; + CCTK_REAL B1L = B1[index]; + CCTK_REAL B2L = B2[index]; + CCTK_REAL B3L = B3[index]; + CCTK_REAL beta1L = beta1[index]; + CCTK_REAL beta2L = beta2[index]; + CCTK_REAL beta3L = beta3[index]; + CCTK_REAL gt11L = gt11[index]; + CCTK_REAL gt12L = gt12[index]; + CCTK_REAL gt13L = gt13[index]; + CCTK_REAL gt22L = gt22[index]; + CCTK_REAL gt23L = gt23[index]; + CCTK_REAL gt33L = gt33[index]; + CCTK_REAL phiL = phi[index]; + CCTK_REAL trKL = trK[index]; + CCTK_REAL Xt1L = Xt1[index]; + CCTK_REAL Xt2L = Xt2[index]; + CCTK_REAL Xt3L = Xt3[index]; /* Include user supplied include files */ - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ + /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - int const dir1 = Sign(normal[0]); + int dir1 = Sign(normal[0]); - int const dir2 = Sign(normal[1]); + int dir2 = Sign(normal[1]); - int const dir3 = Sign(normal[2]); + int dir3 = Sign(normal[2]); - CCTK_REAL const detgt = 1; + CCTK_REAL detgt = 1; - CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL const em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + CCTK_REAL em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - CCTK_REAL const gu11 = em4phi*gtu11; + CCTK_REAL gu11 = em4phi*gtu11; - CCTK_REAL const gu21 = em4phi*gtu21; + CCTK_REAL gu21 = em4phi*gtu21; - CCTK_REAL const gu31 = em4phi*gtu31; + CCTK_REAL gu31 = em4phi*gtu31; - CCTK_REAL const gu22 = em4phi*gtu22; + CCTK_REAL gu22 = em4phi*gtu22; - CCTK_REAL const gu32 = em4phi*gtu32; + CCTK_REAL gu32 = em4phi*gtu32; - CCTK_REAL const gu33 = em4phi*gtu33; + CCTK_REAL gu33 = em4phi*gtu33; - CCTK_REAL const nn1 = normal[0]; + CCTK_REAL nn1 = normal[0]; - CCTK_REAL const nn2 = normal[1]; + CCTK_REAL nn2 = normal[1]; - CCTK_REAL const nn3 = normal[2]; + CCTK_REAL nn3 = normal[2]; - CCTK_REAL const nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; + CCTK_REAL nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; - CCTK_REAL const nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; + CCTK_REAL nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; - CCTK_REAL const nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; + CCTK_REAL nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; - CCTK_REAL const nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; + CCTK_REAL nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; - CCTK_REAL const nlen = pow(nlen2,0.5); + CCTK_REAL nlen = pow(nlen2,0.5); - CCTK_REAL const su1 = nu1*INV(nlen); + CCTK_REAL su1 = nu1*INV(nlen); - CCTK_REAL const su2 = nu2*INV(nlen); + CCTK_REAL su2 = nu2*INV(nlen); - CCTK_REAL const su3 = nu3*INV(nlen); + CCTK_REAL su3 = nu3*INV(nlen); - CCTK_REAL const vg = pow(harmonicF,0.5); + CCTK_REAL vg = pow(harmonicF,0.5); - CCTK_REAL const phirhsL = -((PDonesided1(phi, i, j, k)*su1 + PDonesided2(phi, i, j, k)*su2 + PDonesided3(phi, i, j, k)*su3)*vg); + CCTK_REAL phirhsL = -((PDonesided1(phi, i, j, k)*su1 + + PDonesided2(phi, i, j, k)*su2 + PDonesided3(phi, i, j, k)*su3)*vg); - CCTK_REAL const gt11rhsL = -(PDonesided1(gt11, i, j, k)*su1) - PDonesided2(gt11, i, j, k)*su2 - PDonesided3(gt11, i, j, k)*su3; + CCTK_REAL gt11rhsL = -(PDonesided1(gt11, i, j, k)*su1) - + PDonesided2(gt11, i, j, k)*su2 - PDonesided3(gt11, i, j, k)*su3; - CCTK_REAL const gt12rhsL = -(PDonesided1(gt12, i, j, k)*su1) - PDonesided2(gt12, i, j, k)*su2 - PDonesided3(gt12, i, j, k)*su3; + CCTK_REAL gt12rhsL = -(PDonesided1(gt12, i, j, k)*su1) - + PDonesided2(gt12, i, j, k)*su2 - PDonesided3(gt12, i, j, k)*su3; - CCTK_REAL const gt13rhsL = -(PDonesided1(gt13, i, j, k)*su1) - PDonesided2(gt13, i, j, k)*su2 - PDonesided3(gt13, i, j, k)*su3; + CCTK_REAL gt13rhsL = -(PDonesided1(gt13, i, j, k)*su1) - + PDonesided2(gt13, i, j, k)*su2 - PDonesided3(gt13, i, j, k)*su3; - CCTK_REAL const gt22rhsL = -(PDonesided1(gt22, i, j, k)*su1) - PDonesided2(gt22, i, j, k)*su2 - PDonesided3(gt22, i, j, k)*su3; + CCTK_REAL gt22rhsL = -(PDonesided1(gt22, i, j, k)*su1) - + PDonesided2(gt22, i, j, k)*su2 - PDonesided3(gt22, i, j, k)*su3; - CCTK_REAL const gt23rhsL = -(PDonesided1(gt23, i, j, k)*su1) - PDonesided2(gt23, i, j, k)*su2 - PDonesided3(gt23, i, j, k)*su3; + CCTK_REAL gt23rhsL = -(PDonesided1(gt23, i, j, k)*su1) - + PDonesided2(gt23, i, j, k)*su2 - PDonesided3(gt23, i, j, k)*su3; - CCTK_REAL const gt33rhsL = -(PDonesided1(gt33, i, j, k)*su1) - PDonesided2(gt33, i, j, k)*su2 - PDonesided3(gt33, i, j, k)*su3; + CCTK_REAL gt33rhsL = -(PDonesided1(gt33, i, j, k)*su1) - + PDonesided2(gt33, i, j, k)*su2 - PDonesided3(gt33, i, j, k)*su3; - CCTK_REAL const trKrhsL = -((PDonesided1(trK, i, j, k)*su1 + PDonesided2(trK, i, j, k)*su2 + PDonesided3(trK, i, j, k)*su3)*vg); + CCTK_REAL trKrhsL = -((PDonesided1(trK, i, j, k)*su1 + + PDonesided2(trK, i, j, k)*su2 + PDonesided3(trK, i, j, k)*su3)*vg); - CCTK_REAL const At11rhsL = -(PDonesided1(At11, i, j, k)*su1) - PDonesided2(At11, i, j, k)*su2 - PDonesided3(At11, i, j, k)*su3; + CCTK_REAL At11rhsL = -(PDonesided1(At11, i, j, k)*su1) - + PDonesided2(At11, i, j, k)*su2 - PDonesided3(At11, i, j, k)*su3; - CCTK_REAL const At12rhsL = -(PDonesided1(At12, i, j, k)*su1) - PDonesided2(At12, i, j, k)*su2 - PDonesided3(At12, i, j, k)*su3; + CCTK_REAL At12rhsL = -(PDonesided1(At12, i, j, k)*su1) - + PDonesided2(At12, i, j, k)*su2 - PDonesided3(At12, i, j, k)*su3; - CCTK_REAL const At13rhsL = -(PDonesided1(At13, i, j, k)*su1) - PDonesided2(At13, i, j, k)*su2 - PDonesided3(At13, i, j, k)*su3; + CCTK_REAL At13rhsL = -(PDonesided1(At13, i, j, k)*su1) - + PDonesided2(At13, i, j, k)*su2 - PDonesided3(At13, i, j, k)*su3; - CCTK_REAL const At22rhsL = -(PDonesided1(At22, i, j, k)*su1) - PDonesided2(At22, i, j, k)*su2 - PDonesided3(At22, i, j, k)*su3; + CCTK_REAL At22rhsL = -(PDonesided1(At22, i, j, k)*su1) - + PDonesided2(At22, i, j, k)*su2 - PDonesided3(At22, i, j, k)*su3; - CCTK_REAL const At23rhsL = -(PDonesided1(At23, i, j, k)*su1) - PDonesided2(At23, i, j, k)*su2 - PDonesided3(At23, i, j, k)*su3; + CCTK_REAL At23rhsL = -(PDonesided1(At23, i, j, k)*su1) - + PDonesided2(At23, i, j, k)*su2 - PDonesided3(At23, i, j, k)*su3; - CCTK_REAL const At33rhsL = -(PDonesided1(At33, i, j, k)*su1) - PDonesided2(At33, i, j, k)*su2 - PDonesided3(At33, i, j, k)*su3; + CCTK_REAL At33rhsL = -(PDonesided1(At33, i, j, k)*su1) - + PDonesided2(At33, i, j, k)*su2 - PDonesided3(At33, i, j, k)*su3; - CCTK_REAL const Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*su1) - PDonesided2(Xt1, i, j, k)*su2 - PDonesided3(Xt1, i, j, k)*su3; + CCTK_REAL Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*su1) - + PDonesided2(Xt1, i, j, k)*su2 - PDonesided3(Xt1, i, j, k)*su3; - CCTK_REAL const Xt2rhsL = -(PDonesided1(Xt2, i, j, k)*su1) - PDonesided2(Xt2, i, j, k)*su2 - PDonesided3(Xt2, i, j, k)*su3; + CCTK_REAL Xt2rhsL = -(PDonesided1(Xt2, i, j, k)*su1) - + PDonesided2(Xt2, i, j, k)*su2 - PDonesided3(Xt2, i, j, k)*su3; - CCTK_REAL const Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*su1) - PDonesided2(Xt3, i, j, k)*su2 - PDonesided3(Xt3, i, j, k)*su3; + CCTK_REAL Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*su1) - + PDonesided2(Xt3, i, j, k)*su2 - PDonesided3(Xt3, i, j, k)*su3; - CCTK_REAL const alpharhsL = -((PDonesided1(alpha, i, j, k)*su1 + PDonesided2(alpha, i, j, k)*su2 + - PDonesided3(alpha, i, j, k)*su3)*vg); + CCTK_REAL alpharhsL = -((PDonesided1(alpha, i, j, k)*su1 + + PDonesided2(alpha, i, j, k)*su2 + PDonesided3(alpha, i, j, + k)*su3)*vg); - CCTK_REAL const ArhsL = -((PDonesided1(A, i, j, k)*su1 + PDonesided2(A, i, j, k)*su2 + PDonesided3(A, i, j, k)*su3)*vg); + CCTK_REAL ArhsL = -((PDonesided1(A, i, j, k)*su1 + PDonesided2(A, + i, j, k)*su2 + PDonesided3(A, i, j, k)*su3)*vg); - CCTK_REAL const beta1rhsL = -(PDonesided1(beta1, i, j, k)*su1) - PDonesided2(beta1, i, j, k)*su2 - - PDonesided3(beta1, i, j, k)*su3; + CCTK_REAL beta1rhsL = -(PDonesided1(beta1, i, j, k)*su1) - + PDonesided2(beta1, i, j, k)*su2 - PDonesided3(beta1, i, j, k)*su3; - CCTK_REAL const beta2rhsL = -(PDonesided1(beta2, i, j, k)*su1) - PDonesided2(beta2, i, j, k)*su2 - - PDonesided3(beta2, i, j, k)*su3; + CCTK_REAL beta2rhsL = -(PDonesided1(beta2, i, j, k)*su1) - + PDonesided2(beta2, i, j, k)*su2 - PDonesided3(beta2, i, j, k)*su3; - CCTK_REAL const beta3rhsL = -(PDonesided1(beta3, i, j, k)*su1) - PDonesided2(beta3, i, j, k)*su2 - - PDonesided3(beta3, i, j, k)*su3; + CCTK_REAL beta3rhsL = -(PDonesided1(beta3, i, j, k)*su1) - + PDonesided2(beta3, i, j, k)*su2 - PDonesided3(beta3, i, j, k)*su3; - CCTK_REAL const B1rhsL = -(PDonesided1(B1, i, j, k)*su1) - PDonesided2(B1, i, j, k)*su2 - PDonesided3(B1, i, j, k)*su3; + CCTK_REAL B1rhsL = -(PDonesided1(B1, i, j, k)*su1) - + PDonesided2(B1, i, j, k)*su2 - PDonesided3(B1, i, j, k)*su3; - CCTK_REAL const B2rhsL = -(PDonesided1(B2, i, j, k)*su1) - PDonesided2(B2, i, j, k)*su2 - PDonesided3(B2, i, j, k)*su3; + CCTK_REAL B2rhsL = -(PDonesided1(B2, i, j, k)*su1) - + PDonesided2(B2, i, j, k)*su2 - PDonesided3(B2, i, j, k)*su3; - CCTK_REAL const B3rhsL = -(PDonesided1(B3, i, j, k)*su1) - PDonesided2(B3, i, j, k)*su2 - PDonesided3(B3, i, j, k)*su3; + CCTK_REAL B3rhsL = -(PDonesided1(B3, i, j, k)*su1) - + PDonesided2(B3, i, j, k)*su2 - PDonesided3(B3, i, j, k)*su3; /* Copy local copies back to grid functions */ @@ -302,8 +276,6 @@ void ML_BSSN_RHSRadiativeBoundary_Body(cGH const * restrict const cctkGH, int co Xt1rhs[index] = Xt1rhsL; Xt2rhs[index] = Xt2rhsL; Xt3rhs[index] = Xt3rhsL; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_RHSRadiativeBoundary); } diff --git a/ML_BSSN/src/ML_BSSN_RHSStaticBoundary.c b/ML_BSSN/src/ML_BSSN_RHSStaticBoundary.c index f1a6c0a..ad57753 100644 --- a/ML_BSSN/src/ML_BSSN_RHSStaticBoundary.c +++ b/ML_BSSN/src/ML_BSSN_RHSStaticBoundary.c @@ -28,20 +28,6 @@ void ML_BSSN_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int const /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_RHSStaticBoundary_Body"); @@ -94,86 +80,65 @@ void ML_BSSN_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int const cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - - /* Declare local copies of grid functions */ - // CCTK_REAL alpharhsL = INITVALUE; - // CCTK_REAL ArhsL = INITVALUE; - // CCTK_REAL At11rhsL = INITVALUE, At12rhsL = INITVALUE, At13rhsL = INITVALUE, At22rhsL = INITVALUE, At23rhsL = INITVALUE, At33rhsL = INITVALUE; - // CCTK_REAL B1rhsL = INITVALUE, B2rhsL = INITVALUE, B3rhsL = INITVALUE; - // CCTK_REAL beta1rhsL = INITVALUE, beta2rhsL = INITVALUE, beta3rhsL = INITVALUE; - // CCTK_REAL gt11rhsL = INITVALUE, gt12rhsL = INITVALUE, gt13rhsL = INITVALUE, gt22rhsL = INITVALUE, gt23rhsL = INITVALUE, gt33rhsL = INITVALUE; - // CCTK_REAL phirhsL = INITVALUE; - // CCTK_REAL trKrhsL = INITVALUE; - // CCTK_REAL Xt1rhsL = INITVALUE, Xt2rhsL = INITVALUE, Xt3rhsL = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ /* Assign local copies of grid functions */ - /* Assign local copies of subblock grid functions */ - /* Include user supplied include files */ - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ + /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL const phirhsL = 0; + CCTK_REAL phirhsL = 0; - CCTK_REAL const gt11rhsL = 0; + CCTK_REAL gt11rhsL = 0; - CCTK_REAL const gt12rhsL = 0; + CCTK_REAL gt12rhsL = 0; - CCTK_REAL const gt13rhsL = 0; + CCTK_REAL gt13rhsL = 0; - CCTK_REAL const gt22rhsL = 0; + CCTK_REAL gt22rhsL = 0; - CCTK_REAL const gt23rhsL = 0; + CCTK_REAL gt23rhsL = 0; - CCTK_REAL const gt33rhsL = 0; + CCTK_REAL gt33rhsL = 0; - CCTK_REAL const trKrhsL = 0; + CCTK_REAL trKrhsL = 0; - CCTK_REAL const At11rhsL = 0; + CCTK_REAL At11rhsL = 0; - CCTK_REAL const At12rhsL = 0; + CCTK_REAL At12rhsL = 0; - CCTK_REAL const At13rhsL = 0; + CCTK_REAL At13rhsL = 0; - CCTK_REAL const At22rhsL = 0; + CCTK_REAL At22rhsL = 0; - CCTK_REAL const At23rhsL = 0; + CCTK_REAL At23rhsL = 0; - CCTK_REAL const At33rhsL = 0; + CCTK_REAL At33rhsL = 0; - CCTK_REAL const Xt1rhsL = 0; + CCTK_REAL Xt1rhsL = 0; - CCTK_REAL const Xt2rhsL = 0; + CCTK_REAL Xt2rhsL = 0; - CCTK_REAL const Xt3rhsL = 0; + CCTK_REAL Xt3rhsL = 0; - CCTK_REAL const alpharhsL = 0; + CCTK_REAL alpharhsL = 0; - CCTK_REAL const ArhsL = 0; + CCTK_REAL ArhsL = 0; - CCTK_REAL const beta1rhsL = 0; + CCTK_REAL beta1rhsL = 0; - CCTK_REAL const beta2rhsL = 0; + CCTK_REAL beta2rhsL = 0; - CCTK_REAL const beta3rhsL = 0; + CCTK_REAL beta3rhsL = 0; - CCTK_REAL const B1rhsL = 0; + CCTK_REAL B1rhsL = 0; - CCTK_REAL const B2rhsL = 0; + CCTK_REAL B2rhsL = 0; - CCTK_REAL const B3rhsL = 0; + CCTK_REAL B3rhsL = 0; /* Copy local copies back to grid functions */ @@ -202,8 +167,6 @@ void ML_BSSN_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int const Xt1rhs[index] = Xt1rhsL; Xt2rhs[index] = Xt2rhsL; Xt3rhs[index] = Xt3rhsL; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_RHSStaticBoundary); } diff --git a/ML_BSSN/src/ML_BSSN_boundary.c b/ML_BSSN/src/ML_BSSN_boundary.c index a2ad643..6997b2e 100644 --- a/ML_BSSN/src/ML_BSSN_boundary.c +++ b/ML_BSSN/src/ML_BSSN_boundary.c @@ -28,20 +28,6 @@ void ML_BSSN_boundary_Body(cGH const * restrict const cctkGH, int const dir, int /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_boundary_Body"); @@ -94,86 +80,65 @@ void ML_BSSN_boundary_Body(cGH const * restrict const cctkGH, int const dir, int cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - - /* Declare local copies of grid functions */ - // CCTK_REAL AL = INITVALUE; - // CCTK_REAL alphaL = INITVALUE; - // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - // CCTK_REAL phiL = INITVALUE; - // CCTK_REAL trKL = INITVALUE; - // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ /* Assign local copies of grid functions */ - /* Assign local copies of subblock grid functions */ - /* Include user supplied include files */ - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ + /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL const phiL = IfThen(conformalMethod,1,0); + CCTK_REAL phiL = IfThen(conformalMethod,1,0); - CCTK_REAL const gt11L = 1; + CCTK_REAL gt11L = 1; - CCTK_REAL const gt12L = 0; + CCTK_REAL gt12L = 0; - CCTK_REAL const gt13L = 0; + CCTK_REAL gt13L = 0; - CCTK_REAL const gt22L = 1; + CCTK_REAL gt22L = 1; - CCTK_REAL const gt23L = 0; + CCTK_REAL gt23L = 0; - CCTK_REAL const gt33L = 1; + CCTK_REAL gt33L = 1; - CCTK_REAL const trKL = 0; + CCTK_REAL trKL = 0; - CCTK_REAL const At11L = 0; + CCTK_REAL At11L = 0; - CCTK_REAL const At12L = 0; + CCTK_REAL At12L = 0; - CCTK_REAL const At13L = 0; + CCTK_REAL At13L = 0; - CCTK_REAL const At22L = 0; + CCTK_REAL At22L = 0; - CCTK_REAL const At23L = 0; + CCTK_REAL At23L = 0; - CCTK_REAL const At33L = 0; + CCTK_REAL At33L = 0; - CCTK_REAL const Xt1L = 0; + CCTK_REAL Xt1L = 0; - CCTK_REAL const Xt2L = 0; + CCTK_REAL Xt2L = 0; - CCTK_REAL const Xt3L = 0; + CCTK_REAL Xt3L = 0; - CCTK_REAL const alphaL = 1; + CCTK_REAL alphaL = 1; - CCTK_REAL const AL = 0; + CCTK_REAL AL = 0; - CCTK_REAL const beta1L = 0; + CCTK_REAL beta1L = 0; - CCTK_REAL const beta2L = 0; + CCTK_REAL beta2L = 0; - CCTK_REAL const beta3L = 0; + CCTK_REAL beta3L = 0; - CCTK_REAL const B1L = 0; + CCTK_REAL B1L = 0; - CCTK_REAL const B2L = 0; + CCTK_REAL B2L = 0; - CCTK_REAL const B3L = 0; + CCTK_REAL B3L = 0; /* Copy local copies back to grid functions */ @@ -202,8 +167,6 @@ void ML_BSSN_boundary_Body(cGH const * restrict const cctkGH, int const dir, int Xt1[index] = Xt1L; Xt2[index] = Xt2L; Xt3[index] = Xt3L; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_boundary); } diff --git a/ML_BSSN/src/ML_BSSN_constraints.c b/ML_BSSN/src/ML_BSSN_constraints.c index 6dadf1e..22c8b3d 100644 --- a/ML_BSSN/src/ML_BSSN_constraints.c +++ b/ML_BSSN/src/ML_BSSN_constraints.c @@ -28,20 +28,6 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_constraints_Body"); @@ -94,56 +80,7 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - // CCTK_REAL Atm11 = INITVALUE, Atm12 = INITVALUE, Atm13 = INITVALUE, Atm21 = INITVALUE, Atm22 = INITVALUE, Atm23 = INITVALUE; - // CCTK_REAL Atm31 = INITVALUE, Atm32 = INITVALUE, Atm33 = INITVALUE; - // CCTK_REAL cdphi1 = INITVALUE, cdphi2 = INITVALUE, cdphi211 = INITVALUE, cdphi212 = INITVALUE, cdphi213 = INITVALUE, cdphi222 = INITVALUE; - // CCTK_REAL cdphi223 = INITVALUE, cdphi233 = INITVALUE, cdphi3 = INITVALUE; - // CCTK_REAL detgt = INITVALUE; - // CCTK_REAL e4phi = INITVALUE; - // CCTK_REAL em4phi = INITVALUE; - // CCTK_REAL fac1 = INITVALUE, fac2 = INITVALUE; - // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE; - // CCTK_REAL rho = INITVALUE; - // CCTK_REAL Rphi11 = INITVALUE, Rphi12 = INITVALUE, Rphi13 = INITVALUE, Rphi22 = INITVALUE, Rphi23 = INITVALUE, Rphi33 = INITVALUE; - // CCTK_REAL Rt11 = INITVALUE, Rt12 = INITVALUE, Rt13 = INITVALUE, Rt22 = INITVALUE, Rt23 = INITVALUE, Rt33 = INITVALUE; - // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE; - // CCTK_REAL trR = INITVALUE; - - /* Declare local copies of grid functions */ - // CCTK_REAL alphaL = INITVALUE; - // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - // CCTK_REAL cAL = INITVALUE; - // CCTK_REAL cSL = INITVALUE; - // CCTK_REAL cXt1L = INITVALUE, cXt2L = INITVALUE, cXt3L = INITVALUE; - // CCTK_REAL eTttL = INITVALUE; - // CCTK_REAL eTtxL = INITVALUE; - // CCTK_REAL eTtyL = INITVALUE; - // CCTK_REAL eTtzL = INITVALUE; - // CCTK_REAL eTxxL = INITVALUE; - // CCTK_REAL eTxyL = INITVALUE; - // CCTK_REAL eTxzL = INITVALUE; - // CCTK_REAL eTyyL = INITVALUE; - // CCTK_REAL eTyzL = INITVALUE; - // CCTK_REAL eTzzL = INITVALUE; - // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - // CCTK_REAL HL = INITVALUE; - // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; - // CCTK_REAL phiL = INITVALUE; - // CCTK_REAL trKL = INITVALUE; - // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ // CCTK_REAL PDstandardNth1At11 = INITVALUE; // CCTK_REAL PDstandardNth2At11 = INITVALUE; @@ -240,43 +177,41 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; /* Assign local copies of grid functions */ - CCTK_REAL const alphaL = alpha[index]; - CCTK_REAL const At11L = At11[index]; - CCTK_REAL const At12L = At12[index]; - CCTK_REAL const At13L = At13[index]; - CCTK_REAL const At22L = At22[index]; - CCTK_REAL const At23L = At23[index]; - CCTK_REAL const At33L = At33[index]; - CCTK_REAL const beta1L = beta1[index]; - CCTK_REAL const beta2L = beta2[index]; - CCTK_REAL const beta3L = beta3[index]; - CCTK_REAL const eTttL = (*stress_energy_state) ? (eTtt[index]) : 0.0; - CCTK_REAL const eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0; - CCTK_REAL const eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0; - CCTK_REAL const eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0; - CCTK_REAL const eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; - CCTK_REAL const eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; - CCTK_REAL const eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; - CCTK_REAL const eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; - CCTK_REAL const eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; - CCTK_REAL const eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; - CCTK_REAL const gt11L = gt11[index]; - CCTK_REAL const gt12L = gt12[index]; - CCTK_REAL const gt13L = gt13[index]; - CCTK_REAL const gt22L = gt22[index]; - CCTK_REAL const gt23L = gt23[index]; - CCTK_REAL const gt33L = gt33[index]; - CCTK_REAL const phiL = phi[index]; - CCTK_REAL const trKL = trK[index]; - CCTK_REAL const Xt1L = Xt1[index]; - CCTK_REAL const Xt2L = Xt2[index]; - CCTK_REAL const Xt3L = Xt3[index]; - - /* Assign local copies of subblock grid functions */ + CCTK_REAL alphaL = alpha[index]; + CCTK_REAL At11L = At11[index]; + CCTK_REAL At12L = At12[index]; + CCTK_REAL At13L = At13[index]; + CCTK_REAL At22L = At22[index]; + CCTK_REAL At23L = At23[index]; + CCTK_REAL At33L = At33[index]; + CCTK_REAL beta1L = beta1[index]; + CCTK_REAL beta2L = beta2[index]; + CCTK_REAL beta3L = beta3[index]; + CCTK_REAL eTttL = (*stress_energy_state) ? (eTtt[index]) : 0.0; + CCTK_REAL eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0; + CCTK_REAL eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0; + CCTK_REAL eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0; + CCTK_REAL eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0; + CCTK_REAL eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0; + CCTK_REAL eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0; + CCTK_REAL eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0; + CCTK_REAL eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0; + CCTK_REAL eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0; + CCTK_REAL gt11L = gt11[index]; + CCTK_REAL gt12L = gt12[index]; + CCTK_REAL gt13L = gt13[index]; + CCTK_REAL gt22L = gt22[index]; + CCTK_REAL gt23L = gt23[index]; + CCTK_REAL gt33L = gt33[index]; + CCTK_REAL phiL = phi[index]; + CCTK_REAL trKL = trK[index]; + CCTK_REAL Xt1L = Xt1[index]; + CCTK_REAL Xt2L = Xt2[index]; + CCTK_REAL Xt3L = Xt3[index]; /* Include user supplied include files */ - /* Precompute derivatives (new style) */ + /* Precompute derivatives */ CCTK_REAL const PDstandardNth1At11 = PDstandardNth1(At11, i, j, k); CCTK_REAL const PDstandardNth2At11 = PDstandardNth2(At11, i, j, k); CCTK_REAL const PDstandardNth3At11 = PDstandardNth3(At11, i, j, k); @@ -371,490 +306,680 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - /* Precompute derivatives (old style) */ - /* Calculate temporaries and grid functions */ - CCTK_REAL const detgt = 1; - - CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - - CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - - CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - - CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - - CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - - CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - - CCTK_REAL const Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - - CCTK_REAL const Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); - - CCTK_REAL const Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); - - CCTK_REAL const Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + - gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - CCTK_REAL const Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + - gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - CCTK_REAL const Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + - gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - - CCTK_REAL const Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + - gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - CCTK_REAL const Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + - gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - CCTK_REAL const Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + - gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - - CCTK_REAL const Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + - gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - CCTK_REAL const Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + - gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - CCTK_REAL const Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + - gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - - CCTK_REAL const Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu21*PDstandardNth3gt22); - - CCTK_REAL const Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu22*PDstandardNth3gt22); - - CCTK_REAL const Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu32*PDstandardNth3gt22); - - CCTK_REAL const Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + - 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - - CCTK_REAL const Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + - 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - - CCTK_REAL const Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + - 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - - CCTK_REAL const Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + gtu21* - (2*Gt211*Gt212*gt22L + 4*Gt112*gt13L*Gt311 + 2*Gt113*gt11L*Gt312 + 2*gt13L*Gt312*Gt313 + 2*gt13L*Gt211*Gt322 + - 2*gt13L*Gt311*Gt323 + 2*Gt311*Gt312*gt33L - PDstandardNth12gt11) - gtu31*PDstandardNth13gt11 + - gt11L*PDstandardNth1Xt1 + gt12L*(4*Gt111*Gt212*gtu21 + 2*Gt211*Gt222*gtu21 + 2*Gt212*Gt222*gtu22 + - 4*Gt113*Gt211*gtu31 + 4*Gt113*Gt212*gtu32 + 4*Gt113*Gt213*gtu33 + PDstandardNth1Xt2) + - gt13L*(4*Gt111*Gt312*gtu21 + 2*Gt212*Gt312*gtu21 + 4*Gt112*Gt312*gtu22 + 4*Gt113*Gt311*gtu31 + - 4*Gt113*Gt312*gtu32 + 4*Gt113*Gt313*gtu33 + PDstandardNth1Xt3) - gtu22*khalf*PDstandardNth22gt11 - - gtu32*PDstandardNth23gt11 - gtu33*khalf*PDstandardNth33gt11 + - Gt111*(6*Gt113*gt11L*gtu31 + 4*gt12L*Gt213*gtu31 + gt11L*Xt1L) + - Gt211*(2*Gt112*gt11L*gtu11 + 4*Gt111*gt12L*gtu11 + 2*gt11L*Gt122*gtu21 + 2*gt11L*Gt123*gtu31 + gt12L*Xt1L) + - Gt311*(4*Gt111*gt13L*gtu11 + 2*gt12L*Gt213*gtu11 + 2*gt13L*Gt313*gtu11 + 2*gt11L*Gt123*gtu21 + - 2*gt11L*Gt133*gtu31 + gt13L*Xt1L) + gt12L*Gt212*Xt2L + gt13L*Gt312*Xt2L + - Gt112*(6*Gt111*gt11L*gtu21 + 4*gt12L*Gt211*gtu21 + 4*gt12L*Gt212*gtu22 + 2*gt11L*Gt213*gtu31 + - 6*Gt113*gt11L*gtu32 + gt11L*Xt2L) + Gt113*gt11L*Xt3L + - Gt213*(2*gt11L*Gt122*gtu32 + 4*Gt112*gt12L*gtu32 + 2*gt11L*Gt123*gtu33 + gt12L*Xt3L) + - Gt313*(4*Gt111*gt13L*gtu31 + 2*gt12L*Gt213*gtu31 + 2*gt11L*Gt123*gtu32 + 4*Gt112*gt13L*gtu32 + - 2*gt12L*Gt223*gtu32 + 2*gt11L*Gt133*gtu33 + gt13L*Xt3L) + 3*gt11L*gtu11*SQR(Gt111) + 3*gt11L*gtu22*SQR(Gt112) + - 3*gt11L*gtu33*SQR(Gt113) + gt22L*gtu11*SQR(Gt211) + gt22L*gtu22*SQR(Gt212) + - 2*(gt12L*Gt211*Gt212*gtu11 + Gt113*gt11L*Gt311*gtu11 + Gt211*gt23L*Gt311*gtu11 + gt13L*Gt211*Gt312*gtu11 + - Gt112*gt11L*Gt212*gtu21 + gt12L*Gt223*Gt311*gtu21 + Gt212*gt23L*Gt311*gtu21 + gt12L*Gt213*Gt312*gtu21 + - Gt211*gt23L*Gt312*gtu21 + gt11L*Gt122*Gt212*gtu22 + gt11L*Gt123*Gt312*gtu22 + gt12L*Gt223*Gt312*gtu22 + - Gt212*gt23L*Gt312*gtu22 + gt13L*Gt212*Gt322*gtu22 + gt13L*Gt312*Gt323*gtu22 + gt12L*Gt212*Gt213*gtu31 + - gt12L*Gt211*Gt223*gtu31 + Gt211*Gt213*gt22L*gtu31 + gt12L*Gt233*Gt311*gtu31 + Gt213*gt23L*Gt311*gtu31 + - gt13L*Gt213*Gt312*gtu31 + Gt113*gt11L*Gt313*gtu31 + Gt211*gt23L*Gt313*gtu31 + gt13L*Gt211*Gt323*gtu31 + - gt13L*Gt311*Gt333*gtu31 + Gt311*Gt313*gt33L*gtu31 + gt11L*Gt123*Gt212*gtu32 + gt12L*Gt213*Gt222*gtu32 + - gt12L*Gt212*Gt223*gtu32 + Gt212*Gt213*gt22L*gtu32 + gt11L*Gt133*Gt312*gtu32 + gt12L*Gt233*Gt312*gtu32 + - Gt213*gt23L*Gt312*gtu32 + Gt212*gt23L*Gt313*gtu32 + gt13L*Gt213*Gt322*gtu32 + gt13L*Gt212*Gt323*gtu32 + - gt13L*Gt313*Gt323*gtu32 + gt13L*Gt312*Gt333*gtu32 + Gt312*Gt313*gt33L*gtu32 + gt12L*Gt213*Gt223*gtu33 + - gt12L*Gt233*Gt313*gtu33 + Gt213*gt23L*Gt313*gtu33 + gt13L*Gt213*Gt323*gtu33 + gt13L*Gt313*Gt333*gtu33 + - gt12L*gtu21*SQR(Gt212)) + gt22L*gtu33*SQR(Gt213) + gt33L*gtu11*SQR(Gt311) + gt33L*gtu22*SQR(Gt312) + - 2*gt13L*gtu31*SQR(Gt313) + gt33L*gtu33*SQR(Gt313); - - CCTK_REAL const Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + - gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - - 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - - gtu33*PDstandardNth33gt12 + (Gt111*gt12L + Gt211*gt22L + gt23L*Gt311)*Xt1L + - (Gt112*gt11L + gt12L*Gt212 + gt13L*Gt312)*Xt1L + (Gt112*gt12L + Gt212*gt22L + gt23L*Gt312)*Xt2L + - (gt11L*Gt122 + gt12L*Gt222 + gt13L*Gt322)*Xt2L + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xt3L + - (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xt3L + - 2*gtu21*(Gt112*gt11L*Gt222 + Gt112*Gt211*gt22L + Gt211*Gt222*gt22L + 2*Gt122*gt13L*Gt311 + Gt112*gt23L*Gt311 + - Gt222*gt23L*Gt311 + gt13L*Gt222*Gt312 + Gt213*gt22L*Gt312 + Gt212*gt23L*Gt312 + gt23L*Gt312*Gt313 + - Gt113*gt11L*Gt322 + Gt211*gt23L*Gt322 + gt13L*Gt313*Gt322 + - Gt111*(2*gt11L*Gt122 + Gt112*gt12L + gt12L*Gt222 + gt13L*Gt322) + - gt12L*(2*Gt122*Gt211 + Gt112*Gt212 + Gt212*Gt222 + Gt113*Gt312 + Gt213*Gt322) + Gt311*Gt322*gt33L + - gt22L*SQR(Gt212)) + 2*((Gt123*gt12L*Gt211 + Gt113*gt12L*Gt212 + 2*Gt112*gt12L*Gt213 + gt12L*Gt212*Gt223 + - Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + gt12L*Gt133*Gt311 + gt22L*Gt233*Gt311 + Gt113*gt13L*Gt312 + - gt12L*Gt233*Gt312 + Gt213*gt23L*Gt312 + gt11L*(2*Gt112*Gt113 + Gt123*Gt212 + Gt133*Gt312) + - 2*Gt112*gt13L*Gt313 + Gt212*gt23L*Gt313 + Gt111*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + - gt13L*Gt212*Gt323 + Gt211*gt23L*Gt323 + gt23L*Gt311*Gt333 + gt13L*Gt312*Gt333 + Gt312*Gt313*gt33L)*gtu31 + - (Gt123*gt12L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + gt12L*Gt222*Gt223 + Gt213*Gt222*gt22L + - Gt212*Gt223*gt22L + gt12L*Gt133*Gt312 + gt22L*Gt233*Gt312 + 2*Gt122*gt13L*Gt313 + Gt222*gt23L*Gt313 + - Gt112*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + Gt113*gt13L*Gt322 + gt12L*Gt233*Gt322 + - Gt213*gt23L*Gt322 + gt11L*(2*Gt113*Gt122 + Gt123*Gt222 + Gt133*Gt322) + gt13L*Gt222*Gt323 + - Gt212*gt23L*Gt323 + gt23L*Gt312*Gt333 + gt13L*Gt322*Gt333 + Gt313*Gt322*gt33L)*gtu32 + - gtu11*(3*Gt112*gt12L*Gt211 + 2*Gt211*Gt212*gt22L + Gt113*gt12L*Gt311 + 2*Gt112*gt13L*Gt311 + - Gt213*gt22L*Gt311 + Gt212*gt23L*Gt311 + gt13L*Gt212*Gt312 + gt12L*Gt213*Gt312 + 2*Gt211*gt23L*Gt312 + - gt11L*(2*Gt111*Gt112 + Gt112*Gt212 + Gt113*Gt312) + - Gt111*(gt12L*Gt212 + Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt23L*Gt311*Gt313 + gt13L*Gt312*Gt313 + - Gt311*Gt312*gt33L + gt12L*SQR(Gt111) + gt12L*SQR(Gt212))) + - 2*gtu22*(gt11L*Gt122*Gt222 + 2*Gt212*Gt222*gt22L + 2*Gt122*gt13L*Gt312 + Gt223*gt22L*Gt312 + Gt222*gt23L*Gt312 + - gt11L*Gt123*Gt322 + gt13L*Gt222*Gt322 + 2*Gt212*gt23L*Gt322 + - Gt112*(2*gt11L*Gt122 + gt12L*Gt222 + Gt212*gt22L + gt23L*Gt312 + gt13L*Gt322) + gt23L*Gt312*Gt323 + - gt13L*Gt322*Gt323 + Gt312*Gt322*gt33L + gt12L*SQR(Gt112) + - gt12L*(3*Gt122*Gt212 + Gt123*Gt312 + Gt223*Gt322 + SQR(Gt222))) + - 2*gtu33*(gt11L*Gt123*Gt223 + 2*Gt213*Gt223*gt22L + 2*Gt123*gt13L*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + - gt11L*Gt133*Gt323 + gt13L*Gt223*Gt323 + 2*Gt213*gt23L*Gt323 + - Gt113*(2*gt11L*Gt123 + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323) + gt23L*Gt313*Gt333 + - gt13L*Gt323*Gt333 + Gt313*Gt323*gt33L + gt12L*SQR(Gt113) + - gt12L*(3*Gt123*Gt213 + Gt133*Gt313 + Gt233*Gt323 + SQR(Gt223))) + - 2*gtu21*(Gt122*gt12L*Gt211 + 3*Gt112*gt12L*Gt212 + gt12L*Gt212*Gt222 + Gt211*Gt222*gt22L + Gt123*gt12L*Gt311 + - Gt223*gt22L*Gt311 + 3*Gt112*gt13L*Gt312 + gt12L*Gt223*Gt312 + 2*Gt212*gt23L*Gt312 + - Gt111*(Gt112*gt12L + Gt212*gt22L + gt23L*Gt312) + gt13L*Gt212*Gt322 + Gt211*gt23L*Gt322 + gt23L*Gt311*Gt323 + - gt13L*Gt312*Gt323 + gt11L*(Gt122*Gt212 + Gt123*Gt312 + 2*SQR(Gt112)) + gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) + - 2*gtu31*(Gt112*gt11L*Gt223 + Gt113*Gt211*gt22L + Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + 2*Gt123*gt13L*Gt311 + - Gt113*gt23L*Gt311 + Gt223*gt23L*Gt311 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + Gt213*gt22L*Gt313 + - Gt113*gt11L*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 + - Gt111*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + - gt12L*(2*Gt123*Gt211 + Gt112*Gt213 + Gt212*Gt223 + Gt113*Gt313 + Gt213*Gt323) + Gt311*Gt323*gt33L + - gt23L*SQR(Gt313)) + 2*gtu32*(gt11L*Gt122*Gt223 + Gt113*Gt212*gt22L + Gt213*Gt222*gt22L + Gt212*Gt223*gt22L + - 2*Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 + Gt223*gt22L*Gt313 + gt13L*Gt223*Gt322 + - Gt213*gt23L*Gt322 + gt11L*Gt123*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + - Gt112*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + gt13L*Gt323) + - gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); - - CCTK_REAL const Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + - gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - - 2*gtu32*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + - gt13L*PDstandardNth3Xt3 + (Gt113*gt11L + gt12L*Gt213 + gt13L*Gt313)*Xt1L + - (Gt111*gt13L + Gt211*gt23L + Gt311*gt33L)*Xt1L + (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xt2L + - (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xt2L + (gt11L*Gt133 + gt12L*Gt233 + gt13L*Gt333)*Xt3L + - (Gt113*gt13L + Gt213*gt23L + Gt313*gt33L)*Xt3L + - 2*((Gt122*gt13L*Gt211 + 2*Gt113*gt12L*Gt212 + Gt112*gt12L*Gt213 + gt12L*Gt213*Gt222 + Gt212*Gt213*gt22L + - Gt211*Gt222*gt23L + Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + 2*Gt113*gt13L*Gt312 + Gt213*gt23L*Gt312 + - Gt112*gt13L*Gt313 + gt12L*Gt223*Gt313 + Gt212*gt23L*Gt313 + - gt11L*(2*Gt112*Gt113 + Gt122*Gt213 + Gt123*Gt313) + gt13L*Gt213*Gt322 + gt13L*Gt313*Gt323 + - Gt312*Gt313*gt33L + Gt211*Gt322*gt33L + Gt311*Gt323*gt33L + Gt111*(Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)) - *gtu21 + (Gt122*gt13L*Gt213 + gt11L*Gt122*Gt233 + Gt212*gt22L*Gt233 + Gt113*Gt212*gt23L + - Gt213*Gt222*gt23L + 2*Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + - gt13L*Gt233*Gt322 + gt11L*Gt123*Gt333 + Gt212*gt23L*Gt333 + gt13L*Gt323*Gt333 + - Gt112*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + - gt12L*(2*Gt133*Gt212 + Gt222*Gt233 + Gt223*Gt333) + Gt113*Gt312*gt33L + Gt213*Gt322*gt33L + - Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu32 + - gtu21*(2*Gt123*gt12L*Gt211 + Gt112*gt13L*Gt212 + gt12L*Gt212*Gt223 + Gt211*Gt223*gt22L + Gt112*Gt211*gt23L + - 2*Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + Gt113*gt13L*Gt312 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + - gt12L*Gt213*Gt323 + Gt211*gt23L*Gt323 + gt13L*Gt313*Gt323 + - gt11L*(2*Gt111*Gt123 + Gt112*Gt223 + Gt113*Gt323) + Gt111*(Gt112*gt13L + gt12L*Gt223 + gt13L*Gt323) + - Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + Gt312*Gt313*gt33L + Gt311*Gt323*gt33L + gt23L*SQR(Gt212))) + - 2*gtu32*(Gt123*gt13L*Gt212 + 2*Gt123*gt12L*Gt213 + Gt113*gt12L*Gt223 + Gt213*Gt223*gt22L + Gt212*Gt223*gt23L + - Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + 2*Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + Gt113*gt13L*Gt323 + - gt13L*Gt223*Gt323 + gt12L*Gt233*Gt323 + Gt213*gt23L*Gt323 + - gt11L*(2*Gt113*Gt123 + Gt123*Gt223 + Gt133*Gt323) + gt13L*Gt323*Gt333 + Gt212*Gt323*gt33L + - Gt313*Gt323*gt33L + Gt312*Gt333*gt33L + Gt112*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + gt12L*SQR(Gt223)) + - 2*gtu11*(2*Gt113*gt12L*Gt211 + Gt112*gt13L*Gt211 + gt12L*Gt212*Gt213 + Gt211*Gt213*gt22L + Gt211*Gt212*gt23L + - 3*Gt113*gt13L*Gt311 + 2*Gt213*gt23L*Gt311 + gt13L*Gt213*Gt312 + gt12L*Gt213*Gt313 + Gt211*gt23L*Gt313 + - gt11L*(2*Gt111*Gt113 + Gt112*Gt213 + Gt113*Gt313) + Gt211*Gt312*gt33L + 2*Gt311*Gt313*gt33L + - Gt111*(gt12L*Gt213 + Gt211*gt23L + gt13L*Gt313 + Gt311*gt33L) + gt13L*SQR(Gt111) + gt13L*SQR(Gt313)) + - 2*gtu31*(Gt112*gt13L*Gt213 + Gt112*gt11L*Gt233 + Gt211*gt22L*Gt233 + Gt113*Gt211*gt23L + Gt212*Gt213*gt23L + - 2*Gt133*gt13L*Gt311 + Gt233*gt23L*Gt311 + gt13L*Gt233*Gt312 + Gt113*gt13L*Gt313 + Gt213*gt23L*Gt313 + - Gt113*gt11L*Gt333 + Gt211*gt23L*Gt333 + gt13L*Gt313*Gt333 + - Gt111*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + - gt12L*(2*Gt133*Gt211 + Gt212*Gt233 + Gt213*Gt333) + Gt113*Gt311*gt33L + Gt213*Gt312*gt33L + - Gt311*Gt333*gt33L + gt33L*SQR(Gt313)) + - 2*gtu31*(Gt123*gt13L*Gt211 + 3*Gt113*gt12L*Gt213 + gt12L*Gt213*Gt223 + Gt211*Gt223*gt23L + Gt133*gt13L*Gt311 + - Gt233*gt23L*Gt311 + 3*Gt113*gt13L*Gt313 + gt12L*Gt233*Gt313 + 2*Gt213*gt23L*Gt313 + gt13L*Gt213*Gt323 + - gt13L*Gt313*Gt333 + Gt211*Gt323*gt33L + Gt311*Gt333*gt33L + Gt111*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + - gt11L*(Gt123*Gt213 + Gt133*Gt313 + 2*SQR(Gt113)) + gt22L*SQR(Gt213) + gt33L*SQR(Gt313)) + - 2*gtu22*(2*Gt123*gt12L*Gt212 + Gt122*gt13L*Gt212 + gt12L*Gt222*Gt223 + Gt212*Gt223*gt22L + Gt212*Gt222*gt23L + - 3*Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + gt13L*Gt223*Gt322 + gt12L*Gt223*Gt323 + Gt212*gt23L*Gt323 + - gt11L*(2*Gt112*Gt123 + Gt122*Gt223 + Gt123*Gt323) + Gt212*Gt322*gt33L + 2*Gt312*Gt323*gt33L + - Gt112*(gt12L*Gt223 + Gt212*gt23L + gt13L*Gt323 + Gt312*gt33L) + gt13L*SQR(Gt112) + gt13L*SQR(Gt323)) + - 2*gtu33*(2*gt12L*Gt133*Gt213 + Gt123*gt13L*Gt213 + gt11L*Gt123*Gt233 + gt12L*Gt223*Gt233 + Gt213*gt22L*Gt233 + - Gt213*Gt223*gt23L + 3*Gt133*gt13L*Gt313 + 2*Gt233*gt23L*Gt313 + gt13L*Gt233*Gt323 + gt11L*Gt133*Gt333 + - gt12L*Gt233*Gt333 + Gt213*gt23L*Gt333 + Gt213*Gt323*gt33L + 2*Gt313*Gt333*gt33L + - Gt113*(2*gt11L*Gt133 + gt12L*Gt233 + Gt213*gt23L + gt13L*Gt333 + Gt313*gt33L) + gt13L*SQR(Gt113) + - gt13L*SQR(Gt333))); - - CCTK_REAL const Rt22 = 4*(Gt122*gt12L*Gt212*gtu21 + Gt112*gt12L*Gt222*gtu21 + Gt122*gt12L*Gt222*gtu22 + Gt123*gt12L*Gt212*gtu31 + - Gt123*gt12L*Gt222*gtu32 + Gt123*gt12L*Gt223*gtu33) - gtu11*khalf*PDstandardNth11gt22 + - gtu21*(6*Gt212*Gt222*gt22L + 2*Gt122*gt23L*Gt311 + 2*Gt122*gt13L*Gt312 + 4*Gt222*gt23L*Gt312 + - 2*Gt113*gt12L*Gt322 + 2*gt23L*Gt312*Gt323 + 2*Gt312*Gt322*gt33L - PDstandardNth12gt22) + - gtu31*(6*Gt212*Gt223*gt22L + 2*Gt123*gt13L*Gt312 + 2*Gt112*gt23L*Gt313 + 2*Gt113*gt12L*Gt323 + - 2*gt23L*Gt312*Gt333 + 2*Gt312*Gt323*gt33L - PDstandardNth13gt22) - gtu22*khalf*PDstandardNth22gt22 + - gtu32*(4*Gt122*gt12L*Gt223 + 2*Gt123*Gt212*gt22L + 2*gt12L*Gt133*Gt322 + 4*Gt223*gt23L*Gt322 + - 2*Gt123*gt12L*Gt323 + 4*Gt222*gt23L*Gt323 + 2*gt23L*Gt322*Gt333 + 2*Gt322*Gt323*gt33L - PDstandardNth23gt22) + - gt12L*(2*Gt111*Gt123*gtu31 + 4*Gt112*Gt223*gtu31 + 2*Gt113*Gt122*gtu32 + 2*Gt113*Gt123*gtu33 + PDstandardNth2Xt1) + - gt22L*(2*Gt122*Gt213*gtu32 + 6*Gt222*Gt223*gtu32 + 2*Gt123*Gt213*gtu33 + PDstandardNth2Xt2) + - gt23L*(4*Gt212*Gt322*gtu21 + 2*Gt313*Gt322*gtu21 + 4*Gt222*Gt322*gtu22 + 2*Gt123*Gt311*gtu31 + - 4*Gt212*Gt323*gtu31 + 2*Gt313*Gt323*gtu31 + 2*Gt122*Gt313*gtu32 + 2*Gt123*Gt313*gtu33 + 4*Gt223*Gt323*gtu33 + - 2*Gt323*Gt333*gtu33 + PDstandardNth2Xt3) - gtu33*khalf*PDstandardNth33gt22 + Gt212*gt22L*Xt1L + - Gt112*(2*Gt111*gt12L*gtu11 + 4*gt12L*Gt212*gtu11 + 2*gt11L*Gt122*gtu21 + 2*Gt122*gt12L*gtu22 + - 2*gt11L*Gt123*gtu31 + 2*Gt123*gt12L*gtu32 + gt12L*Xt1L) + - Gt312*(2*Gt213*gt22L*gtu11 + 4*Gt212*gt23L*gtu11 + 2*gt23L*Gt313*gtu11 + 2*Gt123*gt12L*gtu21 + - 2*Gt122*gt23L*gtu22 + 2*gt12L*Gt133*gtu31 + 2*gt22L*Gt233*gtu31 + 4*Gt223*gt23L*gtu31 + 2*Gt123*gt23L*gtu32 + - gt23L*Xt1L) + Gt122*gt12L*Xt2L + Gt222*gt22L*Xt2L + gt23L*Gt322*Xt2L + Gt123*gt12L*Xt3L + Gt223*gt22L*Xt3L + - gt23L*Gt323*Xt3L + gt11L*gtu11*SQR(Gt112) + 2* - (Gt112*Gt211*gt22L*gtu11 + Gt112*gt23L*Gt311*gtu11 + Gt113*gt12L*Gt312*gtu11 + Gt112*gt13L*Gt312*gtu11 + - Gt111*Gt122*gt12L*gtu21 + Gt122*Gt211*gt22L*gtu21 + Gt112*Gt212*gt22L*gtu21 + Gt223*gt22L*Gt312*gtu21 + - Gt112*gt23L*Gt312*gtu21 + Gt112*gt13L*Gt322*gtu21 + Gt213*gt22L*Gt322*gtu21 + Gt122*Gt212*gt22L*gtu22 + - Gt123*gt12L*Gt322*gtu22 + Gt122*gt13L*Gt322*gtu22 + Gt223*gt22L*Gt322*gtu22 + gt23L*Gt322*Gt323*gtu22 + - Gt112*Gt113*gt12L*gtu31 + Gt123*Gt211*gt22L*gtu31 + Gt112*Gt213*gt22L*gtu31 + Gt112*gt13L*Gt323*gtu31 + - Gt213*gt22L*Gt323*gtu31 + gt11L*Gt122*Gt123*gtu32 + Gt123*gt13L*Gt322*gtu32 + gt22L*Gt233*Gt322*gtu32 + - Gt122*gt13L*Gt323*gtu32 + Gt223*gt22L*Gt323*gtu32 + gt12L*Gt133*Gt323*gtu33 + Gt123*gt13L*Gt323*gtu33 + - gt22L*Gt233*Gt323*gtu33 + gt12L*gtu21*SQR(Gt112)) + gt11L*gtu22*SQR(Gt122) + gt11L*gtu33*SQR(Gt123) + - 3*gt22L*gtu11*SQR(Gt212) + 3*gt22L*gtu22*SQR(Gt222) + 3*gt22L*gtu33*SQR(Gt223) + gt33L*gtu11*SQR(Gt312) + - gt33L*gtu22*SQR(Gt322) + 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); - - CCTK_REAL const Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - - gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + - gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + - gt23L*PDstandardNth3Xt3 + (Gt113*gt12L + Gt213*gt22L + gt23L*Gt313)*Xt1L + - (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xt1L + (Gt123*gt12L + Gt223*gt22L + gt23L*Gt323)*Xt2L + - (Gt122*gt13L + Gt222*gt23L + Gt322*gt33L)*Xt2L + (gt12L*Gt133 + gt22L*Gt233 + gt23L*Gt333)*Xt3L + - (Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)*Xt3L + - 2*((Gt112*gt11L*Gt123 + Gt111*Gt123*gt12L + Gt111*Gt122*gt13L + Gt123*gt12L*Gt212 + Gt112*gt13L*Gt222 + - 2*Gt112*gt12L*Gt223 + Gt123*Gt211*gt22L + 2*Gt212*Gt223*gt22L + Gt122*Gt211*gt23L + Gt212*Gt222*gt23L + - Gt123*gt23L*Gt311 + Gt123*gt13L*Gt312 + 2*Gt223*gt23L*Gt312 + Gt113*gt13L*Gt322 + Gt213*gt23L*Gt322 + - Gt113*gt12L*Gt323 + Gt112*gt13L*Gt323 + Gt213*gt22L*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + - Gt122*Gt311*gt33L + Gt222*Gt312*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L)*gtu21 + - (Gt112*gt11L*Gt133 + Gt111*gt12L*Gt133 + Gt111*Gt123*gt13L + gt12L*Gt133*Gt212 + Gt112*gt13L*Gt223 + - Gt133*Gt211*gt22L + 2*Gt112*gt12L*Gt233 + 2*Gt212*gt22L*Gt233 + Gt123*Gt211*gt23L + Gt212*Gt223*gt23L + - Gt133*gt23L*Gt311 + Gt133*gt13L*Gt312 + 2*Gt233*gt23L*Gt312 + Gt113*gt13L*Gt323 + Gt213*gt23L*Gt323 + - Gt113*gt12L*Gt333 + Gt112*gt13L*Gt333 + Gt213*gt22L*Gt333 + Gt212*gt23L*Gt333 + gt23L*Gt313*Gt333 + - Gt123*Gt311*gt33L + Gt223*Gt312*gt33L + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu31 + - gtu21*(Gt113*gt11L*Gt122 + Gt122*gt13L*Gt212 + 2*Gt122*gt12L*Gt213 + Gt113*gt12L*Gt222 + Gt113*Gt212*gt22L + - 2*Gt213*Gt222*gt22L + Gt212*Gt222*gt23L + Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + Gt223*gt23L*Gt312 + - Gt123*gt12L*Gt313 + Gt122*gt13L*Gt313 + Gt223*gt22L*Gt313 + Gt222*gt23L*Gt313 + Gt113*gt13L*Gt322 + - 2*Gt213*gt23L*Gt322 + gt23L*Gt313*Gt323 + Gt212*Gt322*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L + - Gt112*(Gt113*gt12L + Gt212*gt23L + Gt312*gt33L) + gt13L*SQR(Gt112))) + - 2*gtu31*(2*Gt213*Gt223*gt22L + Gt112*Gt213*gt23L + Gt212*Gt223*gt23L + Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + - gt12L*Gt133*Gt313 + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + Gt123*(2*gt12L*Gt213 + gt13L*(Gt212 + Gt313)) + - 2*Gt213*gt23L*Gt323 + Gt113*(gt11L*Gt123 + Gt112*gt13L + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + - gt13L*Gt323) + gt23L*Gt313*Gt333 + Gt112*Gt313*gt33L + Gt212*Gt323*gt33L + Gt313*Gt323*gt33L + - Gt312*Gt333*gt33L + gt12L*SQR(Gt113)) + - 2*gtu11*(Gt112*Gt113*gt11L + Gt111*Gt113*gt12L + Gt111*Gt112*gt13L + Gt113*gt12L*Gt212 + Gt112*gt13L*Gt212 + - 2*Gt112*gt12L*Gt213 + Gt113*Gt211*gt22L + 2*Gt212*Gt213*gt22L + Gt112*Gt211*gt23L + Gt113*gt23L*Gt311 + - 2*Gt113*gt13L*Gt312 + 3*Gt213*gt23L*Gt312 + Gt113*gt12L*Gt313 + Gt112*gt13L*Gt313 + Gt213*gt22L*Gt313 + - Gt212*gt23L*Gt313 + Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + 2*Gt312*Gt313*gt33L + gt23L*SQR(Gt212) + - gt23L*SQR(Gt313)) + 2*gtu22*(gt11L*Gt122*Gt123 + Gt112*Gt123*gt12L + Gt112*Gt122*gt13L + Gt123*gt12L*Gt222 + - Gt122*gt13L*Gt222 + 2*Gt122*gt12L*Gt223 + Gt123*Gt212*gt22L + 2*Gt222*Gt223*gt22L + Gt122*Gt212*gt23L + - Gt123*gt23L*Gt312 + 2*Gt123*gt13L*Gt322 + 3*Gt223*gt23L*Gt322 + Gt123*gt12L*Gt323 + Gt122*gt13L*Gt323 + - Gt223*gt22L*Gt323 + Gt222*gt23L*Gt323 + Gt122*Gt312*gt33L + Gt222*Gt322*gt33L + 2*Gt322*Gt323*gt33L + - gt23L*SQR(Gt222) + gt23L*SQR(Gt323)) + 2*gtu32* - (gt11L*Gt122*Gt133 + Gt112*gt12L*Gt133 + Gt112*Gt123*gt13L + gt12L*Gt133*Gt222 + Gt122*gt13L*Gt223 + - Gt133*Gt212*gt22L + 2*Gt122*gt12L*Gt233 + 2*Gt222*gt22L*Gt233 + Gt123*Gt212*gt23L + Gt222*Gt223*gt23L + - Gt133*gt23L*Gt312 + Gt133*gt13L*Gt322 + 2*Gt233*gt23L*Gt322 + Gt123*gt13L*Gt323 + Gt223*gt23L*Gt323 + - Gt123*gt12L*Gt333 + Gt122*gt13L*Gt333 + Gt223*gt22L*Gt333 + Gt222*gt23L*Gt333 + gt23L*Gt323*Gt333 + - Gt123*Gt312*gt33L + Gt223*Gt322*gt33L + Gt322*Gt333*gt33L + gt33L*SQR(Gt323)) + - 2*gtu32*(Gt113*Gt123*gt12L + Gt113*Gt122*gt13L + Gt123*gt13L*Gt222 + 3*Gt123*gt12L*Gt223 + Gt123*Gt213*gt22L + - Gt122*Gt213*gt23L + Gt222*Gt223*gt23L + Gt123*gt23L*Gt313 + Gt133*gt13L*Gt322 + Gt233*gt23L*Gt322 + - gt12L*Gt133*Gt323 + 2*Gt123*gt13L*Gt323 + gt22L*Gt233*Gt323 + 3*Gt223*gt23L*Gt323 + gt23L*Gt323*Gt333 + - Gt122*Gt313*gt33L + Gt222*Gt323*gt33L + Gt322*Gt333*gt33L + gt11L*SQR(Gt123) + 2*gt22L*SQR(Gt223) + - gt33L*SQR(Gt323)) + 2*gtu33*(gt11L*Gt123*Gt133 + Gt113*gt12L*Gt133 + Gt113*Gt123*gt13L + gt12L*Gt133*Gt223 + - Gt123*gt13L*Gt223 + Gt133*Gt213*gt22L + 2*Gt123*gt12L*Gt233 + 2*Gt223*gt22L*Gt233 + Gt123*Gt213*gt23L + - Gt133*gt23L*Gt313 + 2*Gt133*gt13L*Gt323 + 3*Gt233*gt23L*Gt323 + gt12L*Gt133*Gt333 + Gt123*gt13L*Gt333 + - gt22L*Gt233*Gt333 + Gt223*gt23L*Gt333 + Gt123*Gt313*gt33L + Gt223*Gt323*gt33L + 2*Gt323*Gt333*gt33L + - gt23L*SQR(Gt223) + gt23L*SQR(Gt333))); - - CCTK_REAL const Rt33 = 4*(Gt123*gt13L*Gt323*gtu22 + Gt223*gt23L*Gt323*gtu22 + Gt133*gt13L*Gt313*gtu31 + Gt233*gt23L*Gt313*gtu31 + - Gt113*gt13L*Gt333*gtu31 + Gt133*gt13L*Gt323*gtu32 + Gt233*gt23L*Gt323*gtu32 + Gt123*gt13L*Gt333*gtu32 + - Gt133*gt13L*Gt333*gtu33) + gtu21*(2*Gt212*Gt223*gt23L + 4*Gt123*gt13L*Gt313 + 4*Gt223*gt23L*Gt313 + - 4*Gt113*gt13L*Gt323 + 4*Gt213*gt23L*Gt323 + 2*Gt123*Gt311*gt33L - PDstandardNth12gt33) + - gtu31*(4*Gt213*gt23L*Gt333 + 2*Gt233*Gt312*gt33L + 6*Gt313*Gt333*gt33L - PDstandardNth13gt33) - - gtu22*khalf*PDstandardNth22gt33 + gtu32*(4*Gt223*gt23L*Gt333 + 2*Gt123*Gt313*gt33L + 6*Gt323*Gt333*gt33L - - PDstandardNth23gt33) - gtu33*khalf*PDstandardNth33gt33 + gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + - gt33L*(2*Gt213*Gt322*gtu21 + 6*Gt313*Gt323*gtu21 + 2*Gt123*Gt312*gtu22 + 2*Gt133*Gt311*gtu31 + - 2*Gt133*Gt312*gtu32 + 2*Gt133*Gt313*gtu33 + PDstandardNth3Xt3) + Gt113*gt13L*Xt1L + Gt213*gt23L*Xt1L + - Gt313*gt33L*Xt1L + Gt123*gt13L*Xt2L + Gt223*gt23L*Xt2L + Gt323*gt33L*Xt2L + Gt133*gt13L*Xt3L + Gt333*gt33L*Xt3L + - Gt233*(4*gt23L*Gt333*gtu33 + 2*Gt323*gt33L*gtu33 + gt23L*Xt3L) + - gtu11*(2*Gt212*Gt213*gt23L + 4*Gt113*gt13L*Gt313 + 4*Gt213*gt23L*Gt313 + 2*Gt113*Gt311*gt33L + - 2*Gt213*Gt312*gt33L - khalf*PDstandardNth11gt33 + gt11L*SQR(Gt113)) + - 2*(Gt111*Gt113*gt13L*gtu11 + Gt113*gt12L*Gt213*gtu11 + Gt112*gt13L*Gt213*gtu11 + Gt113*Gt211*gt23L*gtu11 + - Gt113*gt11L*Gt123*gtu21 + Gt112*Gt113*gt13L*gtu21 + Gt111*Gt123*gt13L*gtu21 + Gt123*gt12L*Gt213*gtu21 + - Gt122*gt13L*Gt213*gtu21 + Gt113*gt12L*Gt223*gtu21 + Gt112*gt13L*Gt223*gtu21 + Gt213*Gt223*gt22L*gtu21 + - Gt123*Gt211*gt23L*gtu21 + Gt113*Gt212*gt23L*gtu21 + Gt213*Gt222*gt23L*gtu21 + Gt113*Gt312*gt33L*gtu21 + - Gt223*Gt312*gt33L*gtu21 + Gt112*Gt123*gt13L*gtu22 + Gt123*gt12L*Gt223*gtu22 + Gt122*gt13L*Gt223*gtu22 + - Gt123*Gt212*gt23L*gtu22 + Gt222*Gt223*gt23L*gtu22 + Gt223*Gt322*gt33L*gtu22 + Gt113*gt11L*Gt133*gtu31 + - Gt111*Gt133*gt13L*gtu31 + gt12L*Gt133*Gt213*gtu31 + Gt123*gt13L*Gt213*gtu31 + Gt113*gt12L*Gt233*gtu31 + - Gt112*gt13L*Gt233*gtu31 + Gt213*gt22L*Gt233*gtu31 + Gt133*Gt211*gt23L*gtu31 + Gt113*Gt213*gt23L*gtu31 + - Gt213*Gt223*gt23L*gtu31 + Gt212*Gt233*gt23L*gtu31 + Gt113*Gt313*gt33L*gtu31 + Gt213*Gt323*gt33L*gtu31 + - gt11L*Gt123*Gt133*gtu32 + Gt113*Gt123*gt13L*gtu32 + Gt112*Gt133*gt13L*gtu32 + gt12L*Gt133*Gt223*gtu32 + - Gt123*gt13L*Gt223*gtu32 + Gt123*gt12L*Gt233*gtu32 + Gt122*gt13L*Gt233*gtu32 + Gt223*gt22L*Gt233*gtu32 + - Gt133*Gt212*gt23L*gtu32 + Gt123*Gt213*gt23L*gtu32 + Gt222*Gt233*gt23L*gtu32 + Gt233*Gt322*gt33L*gtu32 + - Gt223*Gt323*gt33L*gtu32 + Gt113*Gt133*gt13L*gtu33 + gt12L*Gt133*Gt233*gtu33 + Gt123*gt13L*Gt233*gtu33 + - Gt133*Gt213*gt23L*gtu33 + Gt223*Gt233*gt23L*gtu33 + gt13L*gtu31*SQR(Gt113)) + gt11L*gtu22*SQR(Gt123) + - gt11L*gtu33*SQR(Gt133) + gt22L*gtu11*SQR(Gt213) + gt22L*gtu22*SQR(Gt223) + 2*gt23L*gtu32*SQR(Gt223) + - gt22L*gtu33*SQR(Gt233) + 3*gt33L*gtu11*SQR(Gt313) + 3*gt33L*gtu22*SQR(Gt323) + 3*gt33L*gtu33*SQR(Gt333); - - CCTK_REAL const fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - CCTK_REAL const cdphi1 = fac1*PDstandardNth1phi; - - CCTK_REAL const cdphi2 = fac1*PDstandardNth2phi; - - CCTK_REAL const cdphi3 = fac1*PDstandardNth3phi; - - CCTK_REAL const fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - - CCTK_REAL const cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + - Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); - - CCTK_REAL const cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - - fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); - - CCTK_REAL const cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - - fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); - - CCTK_REAL const cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + - Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); - - CCTK_REAL const cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - - fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); - - CCTK_REAL const cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + Gt233*PDstandardNth2phi - PDstandardNth33phi + - Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); - - CCTK_REAL const Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + - gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + - gtu22*(cdphi222 + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - - CCTK_REAL const Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + 4*cdphi3*gt12L*gtu31) + - gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + - gtu33*(cdphi233 + 2*SQR(cdphi3)))); - - CCTK_REAL const Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + cdphi3*(-2 + 4*gt13L*gtu31)) + - gt13L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + - gtu33*(cdphi233 + 2*SQR(cdphi3)))); - - CCTK_REAL const Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + - gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + cdphi3*gtu32)) + cdphi233*gtu33 + - gtu11*(cdphi211 + 2*SQR(cdphi1)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu33*SQR(cdphi3)))); - - CCTK_REAL const Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + cdphi3*(-2 + 4*gt23L*gtu32)) + - gt23L*(cdphi222*gtu22 + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); - - CCTK_REAL const Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + - 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + - gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + gt33L*gtu33)*SQR(cdphi3)); - - CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - CCTK_REAL const em4phi = INV(e4phi); - - CCTK_REAL const gu11 = em4phi*gtu11; - - CCTK_REAL const gu21 = em4phi*gtu21; - - CCTK_REAL const gu31 = em4phi*gtu31; + CCTK_REAL detgt = 1; - CCTK_REAL const gu22 = em4phi*gtu22; + CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + + gtu21*(2*Gt211*Gt212*gt22L + 4*Gt112*gt13L*Gt311 + 2*Gt113*gt11L*Gt312 + + 2*gt13L*Gt312*Gt313 + 2*gt13L*Gt211*Gt322 + 2*gt13L*Gt311*Gt323 + + 2*Gt311*Gt312*gt33L - PDstandardNth12gt11) - gtu31*PDstandardNth13gt11 + + gt11L*PDstandardNth1Xt1 + gt12L*(4*Gt111*Gt212*gtu21 + + 2*Gt211*Gt222*gtu21 + 2*Gt212*Gt222*gtu22 + 4*Gt113*Gt211*gtu31 + + 4*Gt113*Gt212*gtu32 + 4*Gt113*Gt213*gtu33 + PDstandardNth1Xt2) + + gt13L*(4*Gt111*Gt312*gtu21 + 2*Gt212*Gt312*gtu21 + 4*Gt112*Gt312*gtu22 + + 4*Gt113*Gt311*gtu31 + 4*Gt113*Gt312*gtu32 + 4*Gt113*Gt313*gtu33 + + PDstandardNth1Xt3) - gtu22*khalf*PDstandardNth22gt11 - + gtu32*PDstandardNth23gt11 - gtu33*khalf*PDstandardNth33gt11 + + Gt111*(6*Gt113*gt11L*gtu31 + 4*gt12L*Gt213*gtu31 + gt11L*Xt1L) + + Gt211*(2*Gt112*gt11L*gtu11 + 4*Gt111*gt12L*gtu11 + 2*gt11L*Gt122*gtu21 + + 2*gt11L*Gt123*gtu31 + gt12L*Xt1L) + Gt311*(4*Gt111*gt13L*gtu11 + + 2*gt12L*Gt213*gtu11 + 2*gt13L*Gt313*gtu11 + 2*gt11L*Gt123*gtu21 + + 2*gt11L*Gt133*gtu31 + gt13L*Xt1L) + gt12L*Gt212*Xt2L + gt13L*Gt312*Xt2L + + Gt112*(6*Gt111*gt11L*gtu21 + 4*gt12L*Gt211*gtu21 + + 4*gt12L*Gt212*gtu22 + 2*gt11L*Gt213*gtu31 + 6*Gt113*gt11L*gtu32 + + gt11L*Xt2L) + Gt113*gt11L*Xt3L + Gt213*(2*gt11L*Gt122*gtu32 + + 4*Gt112*gt12L*gtu32 + 2*gt11L*Gt123*gtu33 + gt12L*Xt3L) + + Gt313*(4*Gt111*gt13L*gtu31 + 2*gt12L*Gt213*gtu31 + 2*gt11L*Gt123*gtu32 + + 4*Gt112*gt13L*gtu32 + 2*gt12L*Gt223*gtu32 + 2*gt11L*Gt133*gtu33 + + gt13L*Xt3L) + 3*gt11L*gtu11*SQR(Gt111) + 3*gt11L*gtu22*SQR(Gt112) + + 3*gt11L*gtu33*SQR(Gt113) + gt22L*gtu11*SQR(Gt211) + + gt22L*gtu22*SQR(Gt212) + 2*(gt12L*Gt211*Gt212*gtu11 + + Gt113*gt11L*Gt311*gtu11 + Gt211*gt23L*Gt311*gtu11 + + gt13L*Gt211*Gt312*gtu11 + Gt112*gt11L*Gt212*gtu21 + + gt12L*Gt223*Gt311*gtu21 + Gt212*gt23L*Gt311*gtu21 + + gt12L*Gt213*Gt312*gtu21 + Gt211*gt23L*Gt312*gtu21 + + gt11L*Gt122*Gt212*gtu22 + gt11L*Gt123*Gt312*gtu22 + + gt12L*Gt223*Gt312*gtu22 + Gt212*gt23L*Gt312*gtu22 + + gt13L*Gt212*Gt322*gtu22 + gt13L*Gt312*Gt323*gtu22 + + gt12L*Gt212*Gt213*gtu31 + gt12L*Gt211*Gt223*gtu31 + + Gt211*Gt213*gt22L*gtu31 + gt12L*Gt233*Gt311*gtu31 + + Gt213*gt23L*Gt311*gtu31 + gt13L*Gt213*Gt312*gtu31 + + Gt113*gt11L*Gt313*gtu31 + Gt211*gt23L*Gt313*gtu31 + + gt13L*Gt211*Gt323*gtu31 + gt13L*Gt311*Gt333*gtu31 + + Gt311*Gt313*gt33L*gtu31 + gt11L*Gt123*Gt212*gtu32 + + gt12L*Gt213*Gt222*gtu32 + gt12L*Gt212*Gt223*gtu32 + + Gt212*Gt213*gt22L*gtu32 + gt11L*Gt133*Gt312*gtu32 + + gt12L*Gt233*Gt312*gtu32 + Gt213*gt23L*Gt312*gtu32 + + Gt212*gt23L*Gt313*gtu32 + gt13L*Gt213*Gt322*gtu32 + + gt13L*Gt212*Gt323*gtu32 + gt13L*Gt313*Gt323*gtu32 + + gt13L*Gt312*Gt333*gtu32 + Gt312*Gt313*gt33L*gtu32 + + gt12L*Gt213*Gt223*gtu33 + gt12L*Gt233*Gt313*gtu33 + + Gt213*gt23L*Gt313*gtu33 + gt13L*Gt213*Gt323*gtu33 + + gt13L*Gt313*Gt333*gtu33 + gt12L*gtu21*SQR(Gt212)) + + gt22L*gtu33*SQR(Gt213) + gt33L*gtu11*SQR(Gt311) + + gt33L*gtu22*SQR(Gt312) + 2*gt13L*gtu31*SQR(Gt313) + + gt33L*gtu33*SQR(Gt313); + + CCTK_REAL Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - + 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - + 2*gtu32*PDstandardNth23gt12 + gt11L*PDstandardNth2Xt1 + + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3 - + gtu33*PDstandardNth33gt12 + (Gt111*gt12L + Gt211*gt22L + + gt23L*Gt311)*Xt1L + (Gt112*gt11L + gt12L*Gt212 + gt13L*Gt312)*Xt1L + + (Gt112*gt12L + Gt212*gt22L + gt23L*Gt312)*Xt2L + (gt11L*Gt122 + + gt12L*Gt222 + gt13L*Gt322)*Xt2L + (Gt113*gt12L + Gt213*gt22L + + gt23L*Gt313)*Xt3L + (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xt3L + + 2*gtu21*(Gt112*gt11L*Gt222 + Gt112*Gt211*gt22L + Gt211*Gt222*gt22L + + 2*Gt122*gt13L*Gt311 + Gt112*gt23L*Gt311 + Gt222*gt23L*Gt311 + + gt13L*Gt222*Gt312 + Gt213*gt22L*Gt312 + Gt212*gt23L*Gt312 + + gt23L*Gt312*Gt313 + Gt113*gt11L*Gt322 + Gt211*gt23L*Gt322 + + gt13L*Gt313*Gt322 + Gt111*(2*gt11L*Gt122 + Gt112*gt12L + gt12L*Gt222 + + gt13L*Gt322) + gt12L*(2*Gt122*Gt211 + Gt112*Gt212 + Gt212*Gt222 + + Gt113*Gt312 + Gt213*Gt322) + Gt311*Gt322*gt33L + gt22L*SQR(Gt212)) + + 2*((Gt123*gt12L*Gt211 + Gt113*gt12L*Gt212 + 2*Gt112*gt12L*Gt213 + + gt12L*Gt212*Gt223 + Gt212*Gt213*gt22L + Gt211*Gt223*gt22L + + gt12L*Gt133*Gt311 + gt22L*Gt233*Gt311 + Gt113*gt13L*Gt312 + + gt12L*Gt233*Gt312 + Gt213*gt23L*Gt312 + gt11L*(2*Gt112*Gt113 + + Gt123*Gt212 + Gt133*Gt312) + 2*Gt112*gt13L*Gt313 + Gt212*gt23L*Gt313 + + Gt111*(Gt113*gt12L + Gt213*gt22L + gt23L*Gt313) + gt13L*Gt212*Gt323 + + Gt211*gt23L*Gt323 + gt23L*Gt311*Gt333 + gt13L*Gt312*Gt333 + + Gt312*Gt313*gt33L)*gtu31 + (Gt123*gt12L*Gt212 + 2*Gt122*gt12L*Gt213 + + Gt113*gt12L*Gt222 + gt12L*Gt222*Gt223 + Gt213*Gt222*gt22L + + Gt212*Gt223*gt22L + gt12L*Gt133*Gt312 + gt22L*Gt233*Gt312 + + 2*Gt122*gt13L*Gt313 + Gt222*gt23L*Gt313 + Gt112*(Gt113*gt12L + + Gt213*gt22L + gt23L*Gt313) + Gt113*gt13L*Gt322 + gt12L*Gt233*Gt322 + + Gt213*gt23L*Gt322 + gt11L*(2*Gt113*Gt122 + Gt123*Gt222 + Gt133*Gt322) + + gt13L*Gt222*Gt323 + Gt212*gt23L*Gt323 + gt23L*Gt312*Gt333 + + gt13L*Gt322*Gt333 + Gt313*Gt322*gt33L)*gtu32 + + gtu11*(3*Gt112*gt12L*Gt211 + 2*Gt211*Gt212*gt22L + Gt113*gt12L*Gt311 + + 2*Gt112*gt13L*Gt311 + Gt213*gt22L*Gt311 + Gt212*gt23L*Gt311 + + gt13L*Gt212*Gt312 + gt12L*Gt213*Gt312 + 2*Gt211*gt23L*Gt312 + + gt11L*(2*Gt111*Gt112 + Gt112*Gt212 + Gt113*Gt312) + Gt111*(gt12L*Gt212 + + Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt23L*Gt311*Gt313 + + gt13L*Gt312*Gt313 + Gt311*Gt312*gt33L + gt12L*SQR(Gt111) + + gt12L*SQR(Gt212))) + 2*gtu22*(gt11L*Gt122*Gt222 + 2*Gt212*Gt222*gt22L + + 2*Gt122*gt13L*Gt312 + Gt223*gt22L*Gt312 + Gt222*gt23L*Gt312 + + gt11L*Gt123*Gt322 + gt13L*Gt222*Gt322 + 2*Gt212*gt23L*Gt322 + + Gt112*(2*gt11L*Gt122 + gt12L*Gt222 + Gt212*gt22L + gt23L*Gt312 + + gt13L*Gt322) + gt23L*Gt312*Gt323 + gt13L*Gt322*Gt323 + + Gt312*Gt322*gt33L + gt12L*SQR(Gt112) + gt12L*(3*Gt122*Gt212 + + Gt123*Gt312 + Gt223*Gt322 + SQR(Gt222))) + 2*gtu33*(gt11L*Gt123*Gt223 + + 2*Gt213*Gt223*gt22L + 2*Gt123*gt13L*Gt313 + gt22L*Gt233*Gt313 + + Gt223*gt23L*Gt313 + gt11L*Gt133*Gt323 + gt13L*Gt223*Gt323 + + 2*Gt213*gt23L*Gt323 + Gt113*(2*gt11L*Gt123 + gt12L*Gt223 + Gt213*gt22L + + gt23L*Gt313 + gt13L*Gt323) + gt23L*Gt313*Gt333 + gt13L*Gt323*Gt333 + + Gt313*Gt323*gt33L + gt12L*SQR(Gt113) + gt12L*(3*Gt123*Gt213 + + Gt133*Gt313 + Gt233*Gt323 + SQR(Gt223))) + 2*gtu21*(Gt122*gt12L*Gt211 + + 3*Gt112*gt12L*Gt212 + gt12L*Gt212*Gt222 + Gt211*Gt222*gt22L + + Gt123*gt12L*Gt311 + Gt223*gt22L*Gt311 + 3*Gt112*gt13L*Gt312 + + gt12L*Gt223*Gt312 + 2*Gt212*gt23L*Gt312 + Gt111*(Gt112*gt12L + + Gt212*gt22L + gt23L*Gt312) + gt13L*Gt212*Gt322 + Gt211*gt23L*Gt322 + + gt23L*Gt311*Gt323 + gt13L*Gt312*Gt323 + gt11L*(Gt122*Gt212 + + Gt123*Gt312 + 2*SQR(Gt112)) + gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) + + 2*gtu31*(Gt112*gt11L*Gt223 + Gt113*Gt211*gt22L + Gt212*Gt213*gt22L + + Gt211*Gt223*gt22L + 2*Gt123*gt13L*Gt311 + Gt113*gt23L*Gt311 + + Gt223*gt23L*Gt311 + gt13L*Gt223*Gt312 + Gt213*gt23L*Gt312 + + Gt213*gt22L*Gt313 + Gt113*gt11L*Gt323 + Gt211*gt23L*Gt323 + + gt13L*Gt313*Gt323 + Gt111*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + + gt13L*Gt323) + gt12L*(2*Gt123*Gt211 + Gt112*Gt213 + Gt212*Gt223 + + Gt113*Gt313 + Gt213*Gt323) + Gt311*Gt323*gt33L + gt23L*SQR(Gt313)) + + 2*gtu32*(gt11L*Gt122*Gt223 + Gt113*Gt212*gt22L + Gt213*Gt222*gt22L + + Gt212*Gt223*gt22L + 2*Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + + Gt223*gt23L*Gt312 + Gt223*gt22L*Gt313 + gt13L*Gt223*Gt322 + + Gt213*gt23L*Gt322 + gt11L*Gt123*Gt323 + Gt212*gt23L*Gt323 + + gt23L*Gt313*Gt323 + Gt112*(2*gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + + gt13L*Gt323) + gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); + + CCTK_REAL Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - + 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + + gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - + 2*gtu32*PDstandardNth23gt13 - gtu33*PDstandardNth33gt13 + + gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + + gt13L*PDstandardNth3Xt3 + (Gt113*gt11L + gt12L*Gt213 + + gt13L*Gt313)*Xt1L + (Gt111*gt13L + Gt211*gt23L + Gt311*gt33L)*Xt1L + + (gt11L*Gt123 + gt12L*Gt223 + gt13L*Gt323)*Xt2L + (Gt112*gt13L + + Gt212*gt23L + Gt312*gt33L)*Xt2L + (gt11L*Gt133 + gt12L*Gt233 + + gt13L*Gt333)*Xt3L + (Gt113*gt13L + Gt213*gt23L + Gt313*gt33L)*Xt3L + + 2*((Gt122*gt13L*Gt211 + 2*Gt113*gt12L*Gt212 + Gt112*gt12L*Gt213 + + gt12L*Gt213*Gt222 + Gt212*Gt213*gt22L + Gt211*Gt222*gt23L + + Gt123*gt13L*Gt311 + Gt223*gt23L*Gt311 + 2*Gt113*gt13L*Gt312 + + Gt213*gt23L*Gt312 + Gt112*gt13L*Gt313 + gt12L*Gt223*Gt313 + + Gt212*gt23L*Gt313 + gt11L*(2*Gt112*Gt113 + Gt122*Gt213 + Gt123*Gt313) + + gt13L*Gt213*Gt322 + gt13L*Gt313*Gt323 + Gt312*Gt313*gt33L + + Gt211*Gt322*gt33L + Gt311*Gt323*gt33L + Gt111*(Gt112*gt13L + + Gt212*gt23L + Gt312*gt33L))*gtu21 + (Gt122*gt13L*Gt213 + + gt11L*Gt122*Gt233 + Gt212*gt22L*Gt233 + Gt113*Gt212*gt23L + + Gt213*Gt222*gt23L + 2*Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + + Gt123*gt13L*Gt313 + Gt223*gt23L*Gt313 + gt13L*Gt233*Gt322 + + gt11L*Gt123*Gt333 + Gt212*gt23L*Gt333 + gt13L*Gt323*Gt333 + + Gt112*(2*gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + + gt12L*(2*Gt133*Gt212 + Gt222*Gt233 + Gt223*Gt333) + Gt113*Gt312*gt33L + + Gt213*Gt322*gt33L + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu32 + + gtu21*(2*Gt123*gt12L*Gt211 + Gt112*gt13L*Gt212 + gt12L*Gt212*Gt223 + + Gt211*Gt223*gt22L + Gt112*Gt211*gt23L + 2*Gt123*gt13L*Gt311 + + Gt223*gt23L*Gt311 + Gt113*gt13L*Gt312 + gt13L*Gt223*Gt312 + + Gt213*gt23L*Gt312 + gt12L*Gt213*Gt323 + Gt211*gt23L*Gt323 + + gt13L*Gt313*Gt323 + gt11L*(2*Gt111*Gt123 + Gt112*Gt223 + Gt113*Gt323) + + Gt111*(Gt112*gt13L + gt12L*Gt223 + gt13L*Gt323) + Gt112*Gt311*gt33L + + Gt212*Gt312*gt33L + Gt312*Gt313*gt33L + Gt311*Gt323*gt33L + + gt23L*SQR(Gt212))) + 2*gtu32*(Gt123*gt13L*Gt212 + 2*Gt123*gt12L*Gt213 + + Gt113*gt12L*Gt223 + Gt213*Gt223*gt22L + Gt212*Gt223*gt23L + + Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + 2*Gt123*gt13L*Gt313 + + Gt223*gt23L*Gt313 + Gt113*gt13L*Gt323 + gt13L*Gt223*Gt323 + + gt12L*Gt233*Gt323 + Gt213*gt23L*Gt323 + gt11L*(2*Gt113*Gt123 + + Gt123*Gt223 + Gt133*Gt323) + gt13L*Gt323*Gt333 + Gt212*Gt323*gt33L + + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L + Gt112*(Gt113*gt13L + + Gt213*gt23L + Gt313*gt33L) + gt12L*SQR(Gt223)) + + 2*gtu11*(2*Gt113*gt12L*Gt211 + Gt112*gt13L*Gt211 + gt12L*Gt212*Gt213 + + Gt211*Gt213*gt22L + Gt211*Gt212*gt23L + 3*Gt113*gt13L*Gt311 + + 2*Gt213*gt23L*Gt311 + gt13L*Gt213*Gt312 + gt12L*Gt213*Gt313 + + Gt211*gt23L*Gt313 + gt11L*(2*Gt111*Gt113 + Gt112*Gt213 + Gt113*Gt313) + + Gt211*Gt312*gt33L + 2*Gt311*Gt313*gt33L + Gt111*(gt12L*Gt213 + + Gt211*gt23L + gt13L*Gt313 + Gt311*gt33L) + gt13L*SQR(Gt111) + + gt13L*SQR(Gt313)) + 2*gtu31*(Gt112*gt13L*Gt213 + Gt112*gt11L*Gt233 + + Gt211*gt22L*Gt233 + Gt113*Gt211*gt23L + Gt212*Gt213*gt23L + + 2*Gt133*gt13L*Gt311 + Gt233*gt23L*Gt311 + gt13L*Gt233*Gt312 + + Gt113*gt13L*Gt313 + Gt213*gt23L*Gt313 + Gt113*gt11L*Gt333 + + Gt211*gt23L*Gt333 + gt13L*Gt313*Gt333 + Gt111*(2*gt11L*Gt133 + + Gt113*gt13L + gt12L*Gt233 + gt13L*Gt333) + gt12L*(2*Gt133*Gt211 + + Gt212*Gt233 + Gt213*Gt333) + Gt113*Gt311*gt33L + Gt213*Gt312*gt33L + + Gt311*Gt333*gt33L + gt33L*SQR(Gt313)) + 2*gtu31*(Gt123*gt13L*Gt211 + + 3*Gt113*gt12L*Gt213 + gt12L*Gt213*Gt223 + Gt211*Gt223*gt23L + + Gt133*gt13L*Gt311 + Gt233*gt23L*Gt311 + 3*Gt113*gt13L*Gt313 + + gt12L*Gt233*Gt313 + 2*Gt213*gt23L*Gt313 + gt13L*Gt213*Gt323 + + gt13L*Gt313*Gt333 + Gt211*Gt323*gt33L + Gt311*Gt333*gt33L + + Gt111*(Gt113*gt13L + Gt213*gt23L + Gt313*gt33L) + gt11L*(Gt123*Gt213 + + Gt133*Gt313 + 2*SQR(Gt113)) + gt22L*SQR(Gt213) + gt33L*SQR(Gt313)) + + 2*gtu22*(2*Gt123*gt12L*Gt212 + Gt122*gt13L*Gt212 + gt12L*Gt222*Gt223 + + Gt212*Gt223*gt22L + Gt212*Gt222*gt23L + 3*Gt123*gt13L*Gt312 + + 2*Gt223*gt23L*Gt312 + gt13L*Gt223*Gt322 + gt12L*Gt223*Gt323 + + Gt212*gt23L*Gt323 + gt11L*(2*Gt112*Gt123 + Gt122*Gt223 + Gt123*Gt323) + + Gt212*Gt322*gt33L + 2*Gt312*Gt323*gt33L + Gt112*(gt12L*Gt223 + + Gt212*gt23L + gt13L*Gt323 + Gt312*gt33L) + gt13L*SQR(Gt112) + + gt13L*SQR(Gt323)) + 2*gtu33*(2*gt12L*Gt133*Gt213 + Gt123*gt13L*Gt213 + + gt11L*Gt123*Gt233 + gt12L*Gt223*Gt233 + Gt213*gt22L*Gt233 + + Gt213*Gt223*gt23L + 3*Gt133*gt13L*Gt313 + 2*Gt233*gt23L*Gt313 + + gt13L*Gt233*Gt323 + gt11L*Gt133*Gt333 + gt12L*Gt233*Gt333 + + Gt213*gt23L*Gt333 + Gt213*Gt323*gt33L + 2*Gt313*Gt333*gt33L + + Gt113*(2*gt11L*Gt133 + gt12L*Gt233 + Gt213*gt23L + gt13L*Gt333 + + Gt313*gt33L) + gt13L*SQR(Gt113) + gt13L*SQR(Gt333))); + + CCTK_REAL Rt22 = 4*(Gt122*gt12L*Gt212*gtu21 + Gt112*gt12L*Gt222*gtu21 + + Gt122*gt12L*Gt222*gtu22 + Gt123*gt12L*Gt212*gtu31 + + Gt123*gt12L*Gt222*gtu32 + Gt123*gt12L*Gt223*gtu33) - + gtu11*khalf*PDstandardNth11gt22 + gtu21*(6*Gt212*Gt222*gt22L + + 2*Gt122*gt23L*Gt311 + 2*Gt122*gt13L*Gt312 + 4*Gt222*gt23L*Gt312 + + 2*Gt113*gt12L*Gt322 + 2*gt23L*Gt312*Gt323 + 2*Gt312*Gt322*gt33L - + PDstandardNth12gt22) + gtu31*(6*Gt212*Gt223*gt22L + 2*Gt123*gt13L*Gt312 + + 2*Gt112*gt23L*Gt313 + 2*Gt113*gt12L*Gt323 + 2*gt23L*Gt312*Gt333 + + 2*Gt312*Gt323*gt33L - PDstandardNth13gt22) - + gtu22*khalf*PDstandardNth22gt22 + gtu32*(4*Gt122*gt12L*Gt223 + + 2*Gt123*Gt212*gt22L + 2*gt12L*Gt133*Gt322 + 4*Gt223*gt23L*Gt322 + + 2*Gt123*gt12L*Gt323 + 4*Gt222*gt23L*Gt323 + 2*gt23L*Gt322*Gt333 + + 2*Gt322*Gt323*gt33L - PDstandardNth23gt22) + gt12L*(2*Gt111*Gt123*gtu31 + + 4*Gt112*Gt223*gtu31 + 2*Gt113*Gt122*gtu32 + 2*Gt113*Gt123*gtu33 + + PDstandardNth2Xt1) + gt22L*(2*Gt122*Gt213*gtu32 + 6*Gt222*Gt223*gtu32 + + 2*Gt123*Gt213*gtu33 + PDstandardNth2Xt2) + gt23L*(4*Gt212*Gt322*gtu21 + + 2*Gt313*Gt322*gtu21 + 4*Gt222*Gt322*gtu22 + 2*Gt123*Gt311*gtu31 + + 4*Gt212*Gt323*gtu31 + 2*Gt313*Gt323*gtu31 + 2*Gt122*Gt313*gtu32 + + 2*Gt123*Gt313*gtu33 + 4*Gt223*Gt323*gtu33 + 2*Gt323*Gt333*gtu33 + + PDstandardNth2Xt3) - gtu33*khalf*PDstandardNth33gt22 + Gt212*gt22L*Xt1L + + Gt112*(2*Gt111*gt12L*gtu11 + 4*gt12L*Gt212*gtu11 + + 2*gt11L*Gt122*gtu21 + 2*Gt122*gt12L*gtu22 + 2*gt11L*Gt123*gtu31 + + 2*Gt123*gt12L*gtu32 + gt12L*Xt1L) + Gt312*(2*Gt213*gt22L*gtu11 + + 4*Gt212*gt23L*gtu11 + 2*gt23L*Gt313*gtu11 + 2*Gt123*gt12L*gtu21 + + 2*Gt122*gt23L*gtu22 + 2*gt12L*Gt133*gtu31 + 2*gt22L*Gt233*gtu31 + + 4*Gt223*gt23L*gtu31 + 2*Gt123*gt23L*gtu32 + gt23L*Xt1L) + + Gt122*gt12L*Xt2L + Gt222*gt22L*Xt2L + gt23L*Gt322*Xt2L + + Gt123*gt12L*Xt3L + Gt223*gt22L*Xt3L + gt23L*Gt323*Xt3L + + gt11L*gtu11*SQR(Gt112) + 2*(Gt112*Gt211*gt22L*gtu11 + + Gt112*gt23L*Gt311*gtu11 + Gt113*gt12L*Gt312*gtu11 + + Gt112*gt13L*Gt312*gtu11 + Gt111*Gt122*gt12L*gtu21 + + Gt122*Gt211*gt22L*gtu21 + Gt112*Gt212*gt22L*gtu21 + + Gt223*gt22L*Gt312*gtu21 + Gt112*gt23L*Gt312*gtu21 + + Gt112*gt13L*Gt322*gtu21 + Gt213*gt22L*Gt322*gtu21 + + Gt122*Gt212*gt22L*gtu22 + Gt123*gt12L*Gt322*gtu22 + + Gt122*gt13L*Gt322*gtu22 + Gt223*gt22L*Gt322*gtu22 + + gt23L*Gt322*Gt323*gtu22 + Gt112*Gt113*gt12L*gtu31 + + Gt123*Gt211*gt22L*gtu31 + Gt112*Gt213*gt22L*gtu31 + + Gt112*gt13L*Gt323*gtu31 + Gt213*gt22L*Gt323*gtu31 + + gt11L*Gt122*Gt123*gtu32 + Gt123*gt13L*Gt322*gtu32 + + gt22L*Gt233*Gt322*gtu32 + Gt122*gt13L*Gt323*gtu32 + + Gt223*gt22L*Gt323*gtu32 + gt12L*Gt133*Gt323*gtu33 + + Gt123*gt13L*Gt323*gtu33 + gt22L*Gt233*Gt323*gtu33 + + gt12L*gtu21*SQR(Gt112)) + gt11L*gtu22*SQR(Gt122) + + gt11L*gtu33*SQR(Gt123) + 3*gt22L*gtu11*SQR(Gt212) + + 3*gt22L*gtu22*SQR(Gt222) + 3*gt22L*gtu33*SQR(Gt223) + + gt33L*gtu11*SQR(Gt312) + gt33L*gtu22*SQR(Gt322) + + 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); + + CCTK_REAL Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - + 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - + gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + + gt33L*PDstandardNth2Xt3 - gtu33*PDstandardNth33gt23 + + gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + + gt23L*PDstandardNth3Xt3 + (Gt113*gt12L + Gt213*gt22L + + gt23L*Gt313)*Xt1L + (Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)*Xt1L + + (Gt123*gt12L + Gt223*gt22L + gt23L*Gt323)*Xt2L + (Gt122*gt13L + + Gt222*gt23L + Gt322*gt33L)*Xt2L + (gt12L*Gt133 + gt22L*Gt233 + + gt23L*Gt333)*Xt3L + (Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)*Xt3L + + 2*((Gt112*gt11L*Gt123 + Gt111*Gt123*gt12L + Gt111*Gt122*gt13L + + Gt123*gt12L*Gt212 + Gt112*gt13L*Gt222 + 2*Gt112*gt12L*Gt223 + + Gt123*Gt211*gt22L + 2*Gt212*Gt223*gt22L + Gt122*Gt211*gt23L + + Gt212*Gt222*gt23L + Gt123*gt23L*Gt311 + Gt123*gt13L*Gt312 + + 2*Gt223*gt23L*Gt312 + Gt113*gt13L*Gt322 + Gt213*gt23L*Gt322 + + Gt113*gt12L*Gt323 + Gt112*gt13L*Gt323 + Gt213*gt22L*Gt323 + + Gt212*gt23L*Gt323 + gt23L*Gt313*Gt323 + Gt122*Gt311*gt33L + + Gt222*Gt312*gt33L + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L)*gtu21 + + (Gt112*gt11L*Gt133 + Gt111*gt12L*Gt133 + Gt111*Gt123*gt13L + + gt12L*Gt133*Gt212 + Gt112*gt13L*Gt223 + Gt133*Gt211*gt22L + + 2*Gt112*gt12L*Gt233 + 2*Gt212*gt22L*Gt233 + Gt123*Gt211*gt23L + + Gt212*Gt223*gt23L + Gt133*gt23L*Gt311 + Gt133*gt13L*Gt312 + + 2*Gt233*gt23L*Gt312 + Gt113*gt13L*Gt323 + Gt213*gt23L*Gt323 + + Gt113*gt12L*Gt333 + Gt112*gt13L*Gt333 + Gt213*gt22L*Gt333 + + Gt212*gt23L*Gt333 + gt23L*Gt313*Gt333 + Gt123*Gt311*gt33L + + Gt223*Gt312*gt33L + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L)*gtu31 + + gtu21*(Gt113*gt11L*Gt122 + Gt122*gt13L*Gt212 + 2*Gt122*gt12L*Gt213 + + Gt113*gt12L*Gt222 + Gt113*Gt212*gt22L + 2*Gt213*Gt222*gt22L + + Gt212*Gt222*gt23L + Gt123*gt13L*Gt312 + Gt113*gt23L*Gt312 + + Gt223*gt23L*Gt312 + Gt123*gt12L*Gt313 + Gt122*gt13L*Gt313 + + Gt223*gt22L*Gt313 + Gt222*gt23L*Gt313 + Gt113*gt13L*Gt322 + + 2*Gt213*gt23L*Gt322 + gt23L*Gt313*Gt323 + Gt212*Gt322*gt33L + + Gt313*Gt322*gt33L + Gt312*Gt323*gt33L + Gt112*(Gt113*gt12L + + Gt212*gt23L + Gt312*gt33L) + gt13L*SQR(Gt112))) + + 2*gtu31*(2*Gt213*Gt223*gt22L + Gt112*Gt213*gt23L + Gt212*Gt223*gt23L + + Gt133*gt13L*Gt312 + Gt233*gt23L*Gt312 + gt12L*Gt133*Gt313 + + gt22L*Gt233*Gt313 + Gt223*gt23L*Gt313 + Gt123*(2*gt12L*Gt213 + + gt13L*(Gt212 + Gt313)) + 2*Gt213*gt23L*Gt323 + Gt113*(gt11L*Gt123 + + Gt112*gt13L + gt12L*Gt223 + Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323) + + gt23L*Gt313*Gt333 + Gt112*Gt313*gt33L + Gt212*Gt323*gt33L + + Gt313*Gt323*gt33L + Gt312*Gt333*gt33L + gt12L*SQR(Gt113)) + + 2*gtu11*(Gt112*Gt113*gt11L + Gt111*Gt113*gt12L + Gt111*Gt112*gt13L + + Gt113*gt12L*Gt212 + Gt112*gt13L*Gt212 + 2*Gt112*gt12L*Gt213 + + Gt113*Gt211*gt22L + 2*Gt212*Gt213*gt22L + Gt112*Gt211*gt23L + + Gt113*gt23L*Gt311 + 2*Gt113*gt13L*Gt312 + 3*Gt213*gt23L*Gt312 + + Gt113*gt12L*Gt313 + Gt112*gt13L*Gt313 + Gt213*gt22L*Gt313 + + Gt212*gt23L*Gt313 + Gt112*Gt311*gt33L + Gt212*Gt312*gt33L + + 2*Gt312*Gt313*gt33L + gt23L*SQR(Gt212) + gt23L*SQR(Gt313)) + + 2*gtu22*(gt11L*Gt122*Gt123 + Gt112*Gt123*gt12L + Gt112*Gt122*gt13L + + Gt123*gt12L*Gt222 + Gt122*gt13L*Gt222 + 2*Gt122*gt12L*Gt223 + + Gt123*Gt212*gt22L + 2*Gt222*Gt223*gt22L + Gt122*Gt212*gt23L + + Gt123*gt23L*Gt312 + 2*Gt123*gt13L*Gt322 + 3*Gt223*gt23L*Gt322 + + Gt123*gt12L*Gt323 + Gt122*gt13L*Gt323 + Gt223*gt22L*Gt323 + + Gt222*gt23L*Gt323 + Gt122*Gt312*gt33L + Gt222*Gt322*gt33L + + 2*Gt322*Gt323*gt33L + gt23L*SQR(Gt222) + gt23L*SQR(Gt323)) + + 2*gtu32*(gt11L*Gt122*Gt133 + Gt112*gt12L*Gt133 + Gt112*Gt123*gt13L + + gt12L*Gt133*Gt222 + Gt122*gt13L*Gt223 + Gt133*Gt212*gt22L + + 2*Gt122*gt12L*Gt233 + 2*Gt222*gt22L*Gt233 + Gt123*Gt212*gt23L + + Gt222*Gt223*gt23L + Gt133*gt23L*Gt312 + Gt133*gt13L*Gt322 + + 2*Gt233*gt23L*Gt322 + Gt123*gt13L*Gt323 + Gt223*gt23L*Gt323 + + Gt123*gt12L*Gt333 + Gt122*gt13L*Gt333 + Gt223*gt22L*Gt333 + + Gt222*gt23L*Gt333 + gt23L*Gt323*Gt333 + Gt123*Gt312*gt33L + + Gt223*Gt322*gt33L + Gt322*Gt333*gt33L + gt33L*SQR(Gt323)) + + 2*gtu32*(Gt113*Gt123*gt12L + Gt113*Gt122*gt13L + Gt123*gt13L*Gt222 + + 3*Gt123*gt12L*Gt223 + Gt123*Gt213*gt22L + Gt122*Gt213*gt23L + + Gt222*Gt223*gt23L + Gt123*gt23L*Gt313 + Gt133*gt13L*Gt322 + + Gt233*gt23L*Gt322 + gt12L*Gt133*Gt323 + 2*Gt123*gt13L*Gt323 + + gt22L*Gt233*Gt323 + 3*Gt223*gt23L*Gt323 + gt23L*Gt323*Gt333 + + Gt122*Gt313*gt33L + Gt222*Gt323*gt33L + Gt322*Gt333*gt33L + + gt11L*SQR(Gt123) + 2*gt22L*SQR(Gt223) + gt33L*SQR(Gt323)) + + 2*gtu33*(gt11L*Gt123*Gt133 + Gt113*gt12L*Gt133 + Gt113*Gt123*gt13L + + gt12L*Gt133*Gt223 + Gt123*gt13L*Gt223 + Gt133*Gt213*gt22L + + 2*Gt123*gt12L*Gt233 + 2*Gt223*gt22L*Gt233 + Gt123*Gt213*gt23L + + Gt133*gt23L*Gt313 + 2*Gt133*gt13L*Gt323 + 3*Gt233*gt23L*Gt323 + + gt12L*Gt133*Gt333 + Gt123*gt13L*Gt333 + gt22L*Gt233*Gt333 + + Gt223*gt23L*Gt333 + Gt123*Gt313*gt33L + Gt223*Gt323*gt33L + + 2*Gt323*Gt333*gt33L + gt23L*SQR(Gt223) + gt23L*SQR(Gt333))); + + CCTK_REAL Rt33 = 4*(Gt123*gt13L*Gt323*gtu22 + Gt223*gt23L*Gt323*gtu22 + + Gt133*gt13L*Gt313*gtu31 + Gt233*gt23L*Gt313*gtu31 + + Gt113*gt13L*Gt333*gtu31 + Gt133*gt13L*Gt323*gtu32 + + Gt233*gt23L*Gt323*gtu32 + Gt123*gt13L*Gt333*gtu32 + + Gt133*gt13L*Gt333*gtu33) + gtu21*(2*Gt212*Gt223*gt23L + + 4*Gt123*gt13L*Gt313 + 4*Gt223*gt23L*Gt313 + 4*Gt113*gt13L*Gt323 + + 4*Gt213*gt23L*Gt323 + 2*Gt123*Gt311*gt33L - PDstandardNth12gt33) + + gtu31*(4*Gt213*gt23L*Gt333 + 2*Gt233*Gt312*gt33L + 6*Gt313*Gt333*gt33L + - PDstandardNth13gt33) - gtu22*khalf*PDstandardNth22gt33 + + gtu32*(4*Gt223*gt23L*Gt333 + 2*Gt123*Gt313*gt33L + 6*Gt323*Gt333*gt33L + - PDstandardNth23gt33) - gtu33*khalf*PDstandardNth33gt33 + + gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + + gt33L*(2*Gt213*Gt322*gtu21 + 6*Gt313*Gt323*gtu21 + 2*Gt123*Gt312*gtu22 + + 2*Gt133*Gt311*gtu31 + 2*Gt133*Gt312*gtu32 + 2*Gt133*Gt313*gtu33 + + PDstandardNth3Xt3) + Gt113*gt13L*Xt1L + Gt213*gt23L*Xt1L + + Gt313*gt33L*Xt1L + Gt123*gt13L*Xt2L + Gt223*gt23L*Xt2L + + Gt323*gt33L*Xt2L + Gt133*gt13L*Xt3L + Gt333*gt33L*Xt3L + + Gt233*(4*gt23L*Gt333*gtu33 + 2*Gt323*gt33L*gtu33 + gt23L*Xt3L) + + gtu11*(2*Gt212*Gt213*gt23L + 4*Gt113*gt13L*Gt313 + 4*Gt213*gt23L*Gt313 + + 2*Gt113*Gt311*gt33L + 2*Gt213*Gt312*gt33L - khalf*PDstandardNth11gt33 + + gt11L*SQR(Gt113)) + 2*(Gt111*Gt113*gt13L*gtu11 + + Gt113*gt12L*Gt213*gtu11 + Gt112*gt13L*Gt213*gtu11 + + Gt113*Gt211*gt23L*gtu11 + Gt113*gt11L*Gt123*gtu21 + + Gt112*Gt113*gt13L*gtu21 + Gt111*Gt123*gt13L*gtu21 + + Gt123*gt12L*Gt213*gtu21 + Gt122*gt13L*Gt213*gtu21 + + Gt113*gt12L*Gt223*gtu21 + Gt112*gt13L*Gt223*gtu21 + + Gt213*Gt223*gt22L*gtu21 + Gt123*Gt211*gt23L*gtu21 + + Gt113*Gt212*gt23L*gtu21 + Gt213*Gt222*gt23L*gtu21 + + Gt113*Gt312*gt33L*gtu21 + Gt223*Gt312*gt33L*gtu21 + + Gt112*Gt123*gt13L*gtu22 + Gt123*gt12L*Gt223*gtu22 + + Gt122*gt13L*Gt223*gtu22 + Gt123*Gt212*gt23L*gtu22 + + Gt222*Gt223*gt23L*gtu22 + Gt223*Gt322*gt33L*gtu22 + + Gt113*gt11L*Gt133*gtu31 + Gt111*Gt133*gt13L*gtu31 + + gt12L*Gt133*Gt213*gtu31 + Gt123*gt13L*Gt213*gtu31 + + Gt113*gt12L*Gt233*gtu31 + Gt112*gt13L*Gt233*gtu31 + + Gt213*gt22L*Gt233*gtu31 + Gt133*Gt211*gt23L*gtu31 + + Gt113*Gt213*gt23L*gtu31 + Gt213*Gt223*gt23L*gtu31 + + Gt212*Gt233*gt23L*gtu31 + Gt113*Gt313*gt33L*gtu31 + + Gt213*Gt323*gt33L*gtu31 + gt11L*Gt123*Gt133*gtu32 + + Gt113*Gt123*gt13L*gtu32 + Gt112*Gt133*gt13L*gtu32 + + gt12L*Gt133*Gt223*gtu32 + Gt123*gt13L*Gt223*gtu32 + + Gt123*gt12L*Gt233*gtu32 + Gt122*gt13L*Gt233*gtu32 + + Gt223*gt22L*Gt233*gtu32 + Gt133*Gt212*gt23L*gtu32 + + Gt123*Gt213*gt23L*gtu32 + Gt222*Gt233*gt23L*gtu32 + + Gt233*Gt322*gt33L*gtu32 + Gt223*Gt323*gt33L*gtu32 + + Gt113*Gt133*gt13L*gtu33 + gt12L*Gt133*Gt233*gtu33 + + Gt123*gt13L*Gt233*gtu33 + Gt133*Gt213*gt23L*gtu33 + + Gt223*Gt233*gt23L*gtu33 + gt13L*gtu31*SQR(Gt113)) + + gt11L*gtu22*SQR(Gt123) + gt11L*gtu33*SQR(Gt133) + + gt22L*gtu11*SQR(Gt213) + gt22L*gtu22*SQR(Gt223) + + 2*gt23L*gtu32*SQR(Gt223) + gt22L*gtu33*SQR(Gt233) + + 3*gt33L*gtu11*SQR(Gt313) + 3*gt33L*gtu22*SQR(Gt323) + + 3*gt33L*gtu33*SQR(Gt333); + + CCTK_REAL fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + + CCTK_REAL cdphi211 = -(fac1*(-PDstandardNth11phi + + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); + + CCTK_REAL cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - + fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); + + CCTK_REAL cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - + fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); + + CCTK_REAL cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - + PDstandardNth22phi + Gt222*PDstandardNth2phi + + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); + + CCTK_REAL cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - + fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); + + CCTK_REAL cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + + Gt233*PDstandardNth2phi - PDstandardNth33phi + + Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); + + CCTK_REAL Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + + gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + + cdphi2*cdphi3*gtu32) + cdphi233*gtu33 + gtu22*(cdphi222 + + 2*SQR(cdphi2)) + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + + gtu33*SQR(cdphi3)))); + + CCTK_REAL Rphi12 = -2*(cdphi212 + cdphi1*(cdphi2*(-2 + 4*gt12L*gtu21) + + 4*cdphi3*gt12L*gtu31) + gt12L*(cdphi211*gtu11 + 4*cdphi2*cdphi3*gtu32 + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + gtu33*(cdphi233 + + 2*SQR(cdphi3)))); + + CCTK_REAL Rphi13 = -2*(cdphi213 + cdphi1*(4*cdphi2*gt13L*gtu21 + + cdphi3*(-2 + 4*gt13L*gtu31)) + gt13L*(cdphi211*gtu11 + + 4*cdphi2*cdphi3*gtu32 + 2*(cdphi212*gtu21 + cdphi213*gtu31 + + cdphi223*gtu32 + gtu11*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2)) + + gtu33*(cdphi233 + 2*SQR(cdphi3)))); + + CCTK_REAL Rphi22 = -2*(cdphi222 + 2*(-1 + gt22L*gtu22)*SQR(cdphi2) + + gt22L*(cdphi222*gtu22 + 4*(cdphi1*cdphi3*gtu31 + cdphi2*(cdphi1*gtu21 + + cdphi3*gtu32)) + cdphi233*gtu33 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + + gtu33*SQR(cdphi3)))); + + CCTK_REAL Rphi23 = -2*(cdphi223 + cdphi2*(4*cdphi1*gt23L*gtu21 + + cdphi3*(-2 + 4*gt23L*gtu32)) + gt23L*(cdphi222*gtu22 + + 4*cdphi1*cdphi3*gtu31 + gtu11*(cdphi211 + 2*SQR(cdphi1)) + + 2*(cdphi212*gtu21 + cdphi213*gtu31 + cdphi223*gtu32 + + gtu22*SQR(cdphi2)) + gtu33*(cdphi233 + 2*SQR(cdphi3)))); + + CCTK_REAL Rphi33 = -2*(cdphi233 + gt33L*((4*cdphi1*cdphi2 + + 2*cdphi212)*gtu21 + 4*cdphi3*(cdphi1*gtu31 + cdphi2*gtu32) + + 2*(cdphi213*gtu31 + cdphi223*gtu32) + cdphi233*gtu33 + gtu11*(cdphi211 + + 2*SQR(cdphi1)) + gtu22*(cdphi222 + 2*SQR(cdphi2))) + 2*(-1 + + gt33L*gtu33)*SQR(cdphi3)); + + CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL em4phi = INV(e4phi); + + CCTK_REAL gu11 = em4phi*gtu11; + + CCTK_REAL gu21 = em4phi*gtu21; + + CCTK_REAL gu31 = em4phi*gtu31; + + CCTK_REAL gu22 = em4phi*gtu22; + + CCTK_REAL gu32 = em4phi*gtu32; + + CCTK_REAL gu33 = em4phi*gtu33; + + CCTK_REAL R11 = Rphi11 + Rt11; + + CCTK_REAL R12 = Rphi12 + Rt12; + + CCTK_REAL R13 = Rphi13 + Rt13; + + CCTK_REAL R22 = Rphi22 + Rt22; - CCTK_REAL const gu32 = em4phi*gtu32; + CCTK_REAL R23 = Rphi23 + Rt23; - CCTK_REAL const gu33 = em4phi*gtu33; + CCTK_REAL R33 = Rphi33 + Rt33; - CCTK_REAL const R11 = Rphi11 + Rt11; + CCTK_REAL trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + + gu32*R23) + gu33*R33; - CCTK_REAL const R12 = Rphi12 + Rt12; + CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - CCTK_REAL const R13 = Rphi13 + Rt13; + CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - CCTK_REAL const R22 = Rphi22 + Rt22; + CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - CCTK_REAL const R23 = Rphi23 + Rt23; + CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - CCTK_REAL const R33 = Rphi33 + Rt33; + CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - CCTK_REAL const trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; + CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - CCTK_REAL const Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - CCTK_REAL const Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - CCTK_REAL const Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - CCTK_REAL const Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + CCTK_REAL rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + + beta3L*eTtzL) + 2*(beta1L*(-eTtxL + beta2L*eTxyL + beta3L*eTxzL) + + beta2L*beta3L*eTyzL) + eTxxL*SQR(beta1L) + eTyyL*SQR(beta2L) + + eTzzL*SQR(beta3L)); - CCTK_REAL const Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + CCTK_REAL S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + + beta3L*eTxzL)*INV(alphaL); - CCTK_REAL const Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + CCTK_REAL S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + + beta3L*eTyzL)*INV(alphaL); - CCTK_REAL const Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + CCTK_REAL S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + + beta3L*eTzzL)*INV(alphaL); - CCTK_REAL const Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + CCTK_REAL HL = -2.*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) - + 50.26548245743669181540229413247204614715*rho + trR - 1.*(SQR(Atm11) + + SQR(Atm22) + SQR(Atm33)) + + 0.6666666666666666666666666666666666666667*SQR(trKL); - CCTK_REAL const Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + CCTK_REAL M1L = -2.*((At12L*Gt211 + At13L*Gt311)*gtu11 + + At11L*Gt123*gtu32) + At12L*((6.*cdphi1 - 1.*Gt111)*gtu21 - + 3.*Gt213*gtu31 + 6.*(cdphi2*gtu22 + cdphi3*gtu32) - 1.*Gt233*gtu33) - + 1.*((At22L*Gt212 + At12L*(Gt112 + Gt222) + At23L*Gt312 + + At13L*Gt322)*gtu22 + At13L*(Gt111*gtu31 + Gt112*gtu32 + Gt113*gtu33)) + + At11L*((6.*cdphi1 - 2.*Gt111)*gtu11 + 6.*(cdphi2*gtu21 + cdphi3*gtu31) + - 1.*(Gt122*gtu22 + Gt133*gtu33)) + gtu11*PDstandardNth1At11 - + 0.6666666666666666666666666666666666666667*PDstandardNth1trK + + gtu21*(-1.*(At22L*Gt211 + At23L*Gt311) - 3.*(At11L*Gt112 + At12L*Gt212 + + At13L*Gt312) + PDstandardNth1At12 + PDstandardNth2At11) + + gtu22*PDstandardNth2At12 + gtu31*(-3.*At11L*Gt113 - 1.*(At23L*Gt211 + + At33L*Gt311) + At13L*(6.*cdphi1 - 3.*Gt313) + PDstandardNth1At13 + + PDstandardNth3At11) + gtu32*(-2.*At12L*Gt223 - 1.*(At12L*Gt113 + + At22L*Gt213 + At33L*Gt312 + At23L*(Gt212 + Gt313)) + At13L*(6.*cdphi2 - + 2.*Gt323) + PDstandardNth2At13 + PDstandardNth3At12) + + gtu33*(-1.*(At23L*Gt213 + At33L*Gt313) + At13L*(6.*cdphi3 - 1.*Gt333) + + PDstandardNth3At13) - 25.13274122871834590770114706623602307358*S1; - CCTK_REAL const rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + beta3L*eTtzL) + - 2*(beta1L*(-eTtxL + beta2L*eTxyL + beta3L*eTxzL) + beta2L*beta3L*eTyzL) + eTxxL*SQR(beta1L) + eTyyL*SQR(beta2L) + - eTzzL*SQR(beta3L)); + CCTK_REAL M2L = At12L*((6.*cdphi1 - 1.*Gt111)*gtu11 - 2.*Gt122*gtu22 + + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - 3.*Gt123*gtu32 - 1.*Gt133*gtu33) + + At22L*((6.*cdphi2 - 2.*Gt222)*gtu22 - 2.*Gt213*gtu31 + 6.*cdphi3*gtu32 + - 1.*Gt233*gtu33) + At23L*(-2.*Gt322*gtu22 - 1.*Gt333*gtu33 + + 6.*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33)) - 1.*((At11L*Gt112 + + At22L*Gt211 + At12L*Gt212 + At23L*Gt311 + At13L*Gt312)*gtu11 + + Gt122*(At11L*gtu21 + At13L*gtu32) + (At23L*Gt223 + At33L*Gt323)*gtu33 + + At13L*(Gt112*gtu31 + Gt123*gtu33)) + gtu11*PDstandardNth1At12 + + gtu21*(At22L*(6.*cdphi1 - 3.*Gt212) + At12L*(-3.*Gt112 - 1.*Gt222) - + 3.*At23L*Gt312 - 1.*At13L*Gt322 + PDstandardNth1At22 + + PDstandardNth2At12) + gtu22*PDstandardNth2At22 - + 0.6666666666666666666666666666666666666667*PDstandardNth2trK + + gtu31*(At12L*(-2.*Gt113 - 1.*Gt223) - 2.*At23L*Gt313 - 1.*(At11L*Gt123 + + At23L*Gt212 + At33L*Gt312 + At13L*Gt323) + PDstandardNth1At23 + + PDstandardNth3At12) + gtu32*(-1.*(At23L*Gt222 + At33L*Gt322) - + 3.*(At22L*Gt223 + At23L*Gt323) + PDstandardNth2At23 + + PDstandardNth3At22) + gtu33*PDstandardNth3At23 - + 25.13274122871834590770114706623602307358*S2; - CCTK_REAL const S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + beta3L*eTxzL)*INV(alphaL); - - CCTK_REAL const S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + beta3L*eTyzL)*INV(alphaL); - - CCTK_REAL const S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + beta3L*eTzzL)*INV(alphaL); - - CCTK_REAL const HL = -2.*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) - 50.26548245743669181540229413247204614715*rho + trR - - 1.*(SQR(Atm11) + SQR(Atm22) + SQR(Atm33)) + 0.6666666666666666666666666666666666666667*SQR(trKL); - - CCTK_REAL const M1L = -2.*((At12L*Gt211 + At13L*Gt311)*gtu11 + At11L*Gt123*gtu32) + - At12L*((6.*cdphi1 - 1.*Gt111)*gtu21 - 3.*Gt213*gtu31 + 6.*(cdphi2*gtu22 + cdphi3*gtu32) - 1.*Gt233*gtu33) - - 1.*((At22L*Gt212 + At12L*(Gt112 + Gt222) + At23L*Gt312 + At13L*Gt322)*gtu22 + - At13L*(Gt111*gtu31 + Gt112*gtu32 + Gt113*gtu33)) + - At11L*((6.*cdphi1 - 2.*Gt111)*gtu11 + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - 1.*(Gt122*gtu22 + Gt133*gtu33)) + - gtu11*PDstandardNth1At11 - 0.6666666666666666666666666666666666666667*PDstandardNth1trK + - gtu21*(-1.*(At22L*Gt211 + At23L*Gt311) - 3.*(At11L*Gt112 + At12L*Gt212 + At13L*Gt312) + PDstandardNth1At12 + - PDstandardNth2At11) + gtu22*PDstandardNth2At12 + - gtu31*(-3.*At11L*Gt113 - 1.*(At23L*Gt211 + At33L*Gt311) + At13L*(6.*cdphi1 - 3.*Gt313) + PDstandardNth1At13 + - PDstandardNth3At11) + gtu32*(-2.*At12L*Gt223 - - 1.*(At12L*Gt113 + At22L*Gt213 + At33L*Gt312 + At23L*(Gt212 + Gt313)) + At13L*(6.*cdphi2 - 2.*Gt323) + - PDstandardNth2At13 + PDstandardNth3At12) + - gtu33*(-1.*(At23L*Gt213 + At33L*Gt313) + At13L*(6.*cdphi3 - 1.*Gt333) + PDstandardNth3At13) - - 25.13274122871834590770114706623602307358*S1; - - CCTK_REAL const M2L = At12L*((6.*cdphi1 - 1.*Gt111)*gtu11 - 2.*Gt122*gtu22 + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - 3.*Gt123*gtu32 - - 1.*Gt133*gtu33) + At22L*((6.*cdphi2 - 2.*Gt222)*gtu22 - 2.*Gt213*gtu31 + 6.*cdphi3*gtu32 - 1.*Gt233*gtu33) + - At23L*(-2.*Gt322*gtu22 - 1.*Gt333*gtu33 + 6.*(cdphi1*gtu31 + cdphi2*gtu32 + cdphi3*gtu33)) - - 1.*((At11L*Gt112 + At22L*Gt211 + At12L*Gt212 + At23L*Gt311 + At13L*Gt312)*gtu11 + - Gt122*(At11L*gtu21 + At13L*gtu32) + (At23L*Gt223 + At33L*Gt323)*gtu33 + At13L*(Gt112*gtu31 + Gt123*gtu33)) + - gtu11*PDstandardNth1At12 + gtu21*(At22L*(6.*cdphi1 - 3.*Gt212) + At12L*(-3.*Gt112 - 1.*Gt222) - 3.*At23L*Gt312 - - 1.*At13L*Gt322 + PDstandardNth1At22 + PDstandardNth2At12) + gtu22*PDstandardNth2At22 - - 0.6666666666666666666666666666666666666667*PDstandardNth2trK + - gtu31*(At12L*(-2.*Gt113 - 1.*Gt223) - 2.*At23L*Gt313 - 1.*(At11L*Gt123 + At23L*Gt212 + At33L*Gt312 + At13L*Gt323) + - PDstandardNth1At23 + PDstandardNth3At12) + - gtu32*(-1.*(At23L*Gt222 + At33L*Gt322) - 3.*(At22L*Gt223 + At23L*Gt323) + PDstandardNth2At23 + - PDstandardNth3At22) + gtu33*PDstandardNth3At23 - 25.13274122871834590770114706623602307358*S2; - - CCTK_REAL const M3L = -1.*((At11L*Gt113 + At23L*Gt211 + At12L*Gt213 + At33L*Gt311)*gtu11 + - (At22L*Gt223 + At33L*Gt322 + At23L*Gt323)*gtu22 + At11L*Gt133*gtu31 + - At12L*(Gt113*gtu21 + Gt123*gtu22 + Gt133*gtu32)) + - At13L*((6.*cdphi1 - 1.*(Gt111 + Gt313))*gtu11 - 1.*Gt122*gtu22 + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - - 3.*Gt123*gtu32 - 2.*Gt133*gtu33) + At23L*((6.*cdphi2 - 1.*Gt222)*gtu22 - 3.*Gt213*gtu31 + 6.*cdphi3*gtu32 - - 2.*Gt233*gtu33) + gtu11*PDstandardNth1At13 + - gtu21*(-2.*(At13L*Gt112 + At33L*Gt312) + At23L*(6.*cdphi1 - 2.*Gt212 - 1.*Gt313) - - 1.*(At11L*Gt123 + At22L*Gt213 + At12L*Gt223 + At13L*Gt323) + PDstandardNth1At23 + PDstandardNth2At13) + - gtu22*PDstandardNth2At23 + gtu31*(-1.*At12L*Gt233 + At33L*(6.*cdphi1 - 3.*Gt313) + At13L*(-3.*Gt113 - 1.*Gt333) + - PDstandardNth1At33 + PDstandardNth3At13) + - gtu32*(-1.*At22L*Gt233 + At33L*(6.*cdphi2 - 3.*Gt323) + At23L*(-3.*Gt223 - 1.*Gt333) + PDstandardNth2At33 + - PDstandardNth3At23) + gtu33*(At33L*(6.*cdphi3 - 2.*Gt333) + PDstandardNth3At33) - - 0.6666666666666666666666666666666666666667*PDstandardNth3trK - 25.13274122871834590770114706623602307358*S3; - - CCTK_REAL const cSL = Log(detgt); - - CCTK_REAL const cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33 - Xt1L; - - CCTK_REAL const cXt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33 - Xt2L; - - CCTK_REAL const cXt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33 - Xt3L; - - CCTK_REAL const cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; + CCTK_REAL M3L = -1.*((At11L*Gt113 + At23L*Gt211 + At12L*Gt213 + + At33L*Gt311)*gtu11 + (At22L*Gt223 + At33L*Gt322 + At23L*Gt323)*gtu22 + + At11L*Gt133*gtu31 + At12L*(Gt113*gtu21 + Gt123*gtu22 + Gt133*gtu32)) + + At13L*((6.*cdphi1 - 1.*(Gt111 + Gt313))*gtu11 - 1.*Gt122*gtu22 + + 6.*(cdphi2*gtu21 + cdphi3*gtu31) - 3.*Gt123*gtu32 - 2.*Gt133*gtu33) + + At23L*((6.*cdphi2 - 1.*Gt222)*gtu22 - 3.*Gt213*gtu31 + 6.*cdphi3*gtu32 + - 2.*Gt233*gtu33) + gtu11*PDstandardNth1At13 + gtu21*(-2.*(At13L*Gt112 + + At33L*Gt312) + At23L*(6.*cdphi1 - 2.*Gt212 - 1.*Gt313) - + 1.*(At11L*Gt123 + At22L*Gt213 + At12L*Gt223 + At13L*Gt323) + + PDstandardNth1At23 + PDstandardNth2At13) + gtu22*PDstandardNth2At23 + + gtu31*(-1.*At12L*Gt233 + At33L*(6.*cdphi1 - 3.*Gt313) + + At13L*(-3.*Gt113 - 1.*Gt333) + PDstandardNth1At33 + PDstandardNth3At13) + + gtu32*(-1.*At22L*Gt233 + At33L*(6.*cdphi2 - 3.*Gt323) + + At23L*(-3.*Gt223 - 1.*Gt333) + PDstandardNth2At33 + PDstandardNth3At23) + + gtu33*(At33L*(6.*cdphi3 - 2.*Gt333) + PDstandardNth3At33) - + 0.6666666666666666666666666666666666666667*PDstandardNth3trK - + 25.13274122871834590770114706623602307358*S3; + + CCTK_REAL cSL = Log(detgt); + + CCTK_REAL cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33 - Xt1L; + + CCTK_REAL cXt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33 - Xt2L; + + CCTK_REAL cXt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33 - Xt3L; + + CCTK_REAL cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; /* Copy local copies back to grid functions */ @@ -867,8 +992,6 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, M1[index] = M1L; M2[index] = M2L; M3[index] = M3L; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_constraints); } diff --git a/ML_BSSN/src/ML_BSSN_constraints_boundary.c b/ML_BSSN/src/ML_BSSN_constraints_boundary.c index 9a3c00a..5b1d723 100644 --- a/ML_BSSN/src/ML_BSSN_constraints_boundary.c +++ b/ML_BSSN/src/ML_BSSN_constraints_boundary.c @@ -28,20 +28,6 @@ void ML_BSSN_constraints_boundary_Body(cGH const * restrict const cctkGH, int co /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_constraints_boundary_Body"); @@ -94,46 +80,45 @@ void ML_BSSN_constraints_boundary_Body(cGH const * restrict const cctkGH, int co cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); + /* Declare derivatives */ - /* Declare shorthands */ + /* Assign local copies of grid functions */ - /* Declare local copies of grid functions */ - // CCTK_REAL HL = INITVALUE; - // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE; - /* Declare precomputed derivatives*/ + /* Include user supplied include files */ - /* Declare derivatives */ + /* Precompute derivatives */ - /* Assign local copies of grid functions */ + /* Calculate temporaries and grid functions */ + CCTK_REAL HL = 0; - /* Assign local copies of subblock grid functions */ + CCTK_REAL M1L = 0; - /* Include user supplied include files */ + CCTK_REAL M2L = 0; - /* Precompute derivatives (new style) */ + CCTK_REAL M3L = 0; - /* Precompute derivatives (old style) */ + CCTK_REAL cSL = 0; - /* Calculate temporaries and grid functions */ - CCTK_REAL const HL = 0; + CCTK_REAL cXt1L = 0; - CCTK_REAL const M1L = 0; + CCTK_REAL cXt2L = 0; - CCTK_REAL const M2L = 0; + CCTK_REAL cXt3L = 0; - CCTK_REAL const M3L = 0; + CCTK_REAL cAL = 0; /* Copy local copies back to grid functions */ + cA[index] = cAL; + cS[index] = cSL; + cXt1[index] = cXt1L; + cXt2[index] = cXt2L; + cXt3[index] = cXt3L; H[index] = HL; M1[index] = M1L; M2[index] = M2L; M3[index] = M3L; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_constraints_boundary); } diff --git a/ML_BSSN/src/ML_BSSN_convertFromADMBase.c b/ML_BSSN/src/ML_BSSN_convertFromADMBase.c index 1b93cb2..14b6d75 100644 --- a/ML_BSSN/src/ML_BSSN_convertFromADMBase.c +++ b/ML_BSSN/src/ML_BSSN_convertFromADMBase.c @@ -28,20 +28,6 @@ void ML_BSSN_convertFromADMBase_Body(cGH const * restrict const cctkGH, int cons /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertFromADMBase_Body"); @@ -94,133 +80,100 @@ void ML_BSSN_convertFromADMBase_Body(cGH const * restrict const cctkGH, int cons cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - // CCTK_REAL detg = INITVALUE; - // CCTK_REAL em4phi = INITVALUE; - // CCTK_REAL g11 = INITVALUE, g12 = INITVALUE, g13 = INITVALUE, g22 = INITVALUE, g23 = INITVALUE, g33 = INITVALUE; - // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE; - - /* Declare local copies of grid functions */ - // CCTK_REAL alpL = INITVALUE; - // CCTK_REAL alphaL = INITVALUE; - // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - // CCTK_REAL betaxL = INITVALUE; - // CCTK_REAL betayL = INITVALUE; - // CCTK_REAL betazL = INITVALUE; - // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - // CCTK_REAL gxxL = INITVALUE; - // CCTK_REAL gxyL = INITVALUE; - // CCTK_REAL gxzL = INITVALUE; - // CCTK_REAL gyyL = INITVALUE; - // CCTK_REAL gyzL = INITVALUE; - // CCTK_REAL gzzL = INITVALUE; - // CCTK_REAL kxxL = INITVALUE; - // CCTK_REAL kxyL = INITVALUE; - // CCTK_REAL kxzL = INITVALUE; - // CCTK_REAL kyyL = INITVALUE; - // CCTK_REAL kyzL = INITVALUE; - // CCTK_REAL kzzL = INITVALUE; - // CCTK_REAL phiL = INITVALUE; - // CCTK_REAL trKL = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ /* Assign local copies of grid functions */ - CCTK_REAL const alpL = alp[index]; - CCTK_REAL const betaxL = betax[index]; - CCTK_REAL const betayL = betay[index]; - CCTK_REAL const betazL = betaz[index]; - CCTK_REAL const gxxL = gxx[index]; - CCTK_REAL const gxyL = gxy[index]; - CCTK_REAL const gxzL = gxz[index]; - CCTK_REAL const gyyL = gyy[index]; - CCTK_REAL const gyzL = gyz[index]; - CCTK_REAL const gzzL = gzz[index]; - CCTK_REAL const kxxL = kxx[index]; - CCTK_REAL const kxyL = kxy[index]; - CCTK_REAL const kxzL = kxz[index]; - CCTK_REAL const kyyL = kyy[index]; - CCTK_REAL const kyzL = kyz[index]; - CCTK_REAL const kzzL = kzz[index]; - - /* Assign local copies of subblock grid functions */ + CCTK_REAL alpL = alp[index]; + CCTK_REAL betaxL = betax[index]; + CCTK_REAL betayL = betay[index]; + CCTK_REAL betazL = betaz[index]; + CCTK_REAL gxxL = gxx[index]; + CCTK_REAL gxyL = gxy[index]; + CCTK_REAL gxzL = gxz[index]; + CCTK_REAL gyyL = gyy[index]; + CCTK_REAL gyzL = gyz[index]; + CCTK_REAL gzzL = gzz[index]; + CCTK_REAL kxxL = kxx[index]; + CCTK_REAL kxyL = kxy[index]; + CCTK_REAL kxzL = kxz[index]; + CCTK_REAL kyyL = kyy[index]; + CCTK_REAL kyzL = kyz[index]; + CCTK_REAL kzzL = kzz[index]; + CCTK_REAL phiL = phi[index]; + CCTK_REAL trKL = trK[index]; /* Include user supplied include files */ - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ + /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL const g11 = gxxL; + CCTK_REAL g11 = gxxL; - CCTK_REAL const g12 = gxyL; + CCTK_REAL g12 = gxyL; - CCTK_REAL const g13 = gxzL; + CCTK_REAL g13 = gxzL; - CCTK_REAL const g22 = gyyL; + CCTK_REAL g22 = gyyL; - CCTK_REAL const g23 = gyzL; + CCTK_REAL g23 = gyzL; - CCTK_REAL const g33 = gzzL; + CCTK_REAL g33 = gzzL; - CCTK_REAL const detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - g22*SQR(g13) - g11*SQR(g23); + CCTK_REAL detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - + g22*SQR(g13) - g11*SQR(g23); - CCTK_REAL const gu11 = INV(detg)*(g22*g33 - SQR(g23)); + CCTK_REAL gu11 = INV(detg)*(g22*g33 - SQR(g23)); - CCTK_REAL const gu21 = (g13*g23 - g12*g33)*INV(detg); + CCTK_REAL gu21 = (g13*g23 - g12*g33)*INV(detg); - CCTK_REAL const gu31 = (-(g13*g22) + g12*g23)*INV(detg); + CCTK_REAL gu31 = (-(g13*g22) + g12*g23)*INV(detg); - CCTK_REAL const gu22 = INV(detg)*(g11*g33 - SQR(g13)); + CCTK_REAL gu22 = INV(detg)*(g11*g33 - SQR(g13)); - CCTK_REAL const gu32 = (g12*g13 - g11*g23)*INV(detg); + CCTK_REAL gu32 = (g12*g13 - g11*g23)*INV(detg); - CCTK_REAL const gu33 = INV(detg)*(g11*g22 - SQR(g12)); + CCTK_REAL gu33 = INV(detg)*(g11*g22 - SQR(g12)); - CCTK_REAL const phiL = IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); + phiL = + IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); - CCTK_REAL const em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + CCTK_REAL em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - CCTK_REAL const gt11L = em4phi*g11; + CCTK_REAL gt11L = em4phi*g11; - CCTK_REAL const gt12L = em4phi*g12; + CCTK_REAL gt12L = em4phi*g12; - CCTK_REAL const gt13L = em4phi*g13; + CCTK_REAL gt13L = em4phi*g13; - CCTK_REAL const gt22L = em4phi*g22; + CCTK_REAL gt22L = em4phi*g22; - CCTK_REAL const gt23L = em4phi*g23; + CCTK_REAL gt23L = em4phi*g23; - CCTK_REAL const gt33L = em4phi*g33; + CCTK_REAL gt33L = em4phi*g33; - CCTK_REAL const trKL = gu11*kxxL + gu22*kyyL + 2*(gu21*kxyL + gu31*kxzL + gu32*kyzL) + gu33*kzzL; + trKL = gu11*kxxL + gu22*kyyL + 2*(gu21*kxyL + gu31*kxzL + gu32*kyzL) + + gu33*kzzL; - CCTK_REAL const At11L = em4phi*(kxxL - g11*kthird*trKL); + CCTK_REAL At11L = em4phi*(kxxL - g11*kthird*trKL); - CCTK_REAL const At12L = em4phi*(kxyL - g12*kthird*trKL); + CCTK_REAL At12L = em4phi*(kxyL - g12*kthird*trKL); - CCTK_REAL const At13L = em4phi*(kxzL - g13*kthird*trKL); + CCTK_REAL At13L = em4phi*(kxzL - g13*kthird*trKL); - CCTK_REAL const At22L = em4phi*(kyyL - g22*kthird*trKL); + CCTK_REAL At22L = em4phi*(kyyL - g22*kthird*trKL); - CCTK_REAL const At23L = em4phi*(kyzL - g23*kthird*trKL); + CCTK_REAL At23L = em4phi*(kyzL - g23*kthird*trKL); - CCTK_REAL const At33L = em4phi*(kzzL - g33*kthird*trKL); + CCTK_REAL At33L = em4phi*(kzzL - g33*kthird*trKL); - CCTK_REAL const alphaL = alpL; + CCTK_REAL alphaL = alpL; - CCTK_REAL const beta1L = betaxL; + CCTK_REAL beta1L = betaxL; - CCTK_REAL const beta2L = betayL; + CCTK_REAL beta2L = betayL; - CCTK_REAL const beta3L = betazL; + CCTK_REAL beta3L = betazL; /* Copy local copies back to grid functions */ @@ -242,8 +195,6 @@ void ML_BSSN_convertFromADMBase_Body(cGH const * restrict const cctkGH, int cons gt33[index] = gt33L; phi[index] = phiL; trK[index] = trKL; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_convertFromADMBase); } diff --git a/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.c b/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.c index 68a3ba7..7d9e3aa 100644 --- a/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.c +++ b/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.c @@ -28,20 +28,6 @@ void ML_BSSN_convertFromADMBaseGamma_Body(cGH const * restrict const cctkGH, int /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertFromADMBaseGamma_Body"); @@ -94,34 +80,7 @@ void ML_BSSN_convertFromADMBaseGamma_Body(cGH const * restrict const cctkGH, int cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - // CCTK_REAL detgt = INITVALUE; - // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - // CCTK_REAL Gt111 = INITVALUE, Gt112 = INITVALUE, Gt113 = INITVALUE, Gt122 = INITVALUE, Gt123 = INITVALUE, Gt133 = INITVALUE; - // CCTK_REAL Gt211 = INITVALUE, Gt212 = INITVALUE, Gt213 = INITVALUE, Gt222 = INITVALUE, Gt223 = INITVALUE, Gt233 = INITVALUE; - // CCTK_REAL Gt311 = INITVALUE, Gt312 = INITVALUE, Gt313 = INITVALUE, Gt322 = INITVALUE, Gt323 = INITVALUE, Gt333 = INITVALUE; - // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - - /* Declare local copies of grid functions */ - // CCTK_REAL AL = INITVALUE; - // CCTK_REAL alphaL = INITVALUE; - // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - // CCTK_REAL betaxL = INITVALUE; - // CCTK_REAL betayL = INITVALUE; - // CCTK_REAL betazL = INITVALUE; - // CCTK_REAL dtalpL = INITVALUE; - // CCTK_REAL dtbetaxL = INITVALUE; - // CCTK_REAL dtbetayL = INITVALUE; - // CCTK_REAL dtbetazL = INITVALUE; - // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - // CCTK_REAL Xt1L = INITVALUE, Xt2L = INITVALUE, Xt3L = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ // CCTK_REAL PDstandardNth1gt11 = INITVALUE; // CCTK_REAL PDstandardNth2gt11 = INITVALUE; @@ -143,29 +102,27 @@ void ML_BSSN_convertFromADMBaseGamma_Body(cGH const * restrict const cctkGH, int // CCTK_REAL PDstandardNth3gt33 = INITVALUE; /* Assign local copies of grid functions */ - CCTK_REAL const alphaL = alpha[index]; - CCTK_REAL const beta1L = beta1[index]; - CCTK_REAL const beta2L = beta2[index]; - CCTK_REAL const beta3L = beta3[index]; - CCTK_REAL const betaxL = betax[index]; - CCTK_REAL const betayL = betay[index]; - CCTK_REAL const betazL = betaz[index]; - CCTK_REAL const dtalpL = dtalp[index]; - CCTK_REAL const dtbetaxL = dtbetax[index]; - CCTK_REAL const dtbetayL = dtbetay[index]; - CCTK_REAL const dtbetazL = dtbetaz[index]; - CCTK_REAL const gt11L = gt11[index]; - CCTK_REAL const gt12L = gt12[index]; - CCTK_REAL const gt13L = gt13[index]; - CCTK_REAL const gt22L = gt22[index]; - CCTK_REAL const gt23L = gt23[index]; - CCTK_REAL const gt33L = gt33[index]; - - /* Assign local copies of subblock grid functions */ + CCTK_REAL alphaL = alpha[index]; + CCTK_REAL beta1L = beta1[index]; + CCTK_REAL beta2L = beta2[index]; + CCTK_REAL beta3L = beta3[index]; + CCTK_REAL betaxL = betax[index]; + CCTK_REAL betayL = betay[index]; + CCTK_REAL betazL = betaz[index]; + CCTK_REAL dtalpL = dtalp[index]; + CCTK_REAL dtbetaxL = dtbetax[index]; + CCTK_REAL dtbetayL = dtbetay[index]; + CCTK_REAL dtbetazL = dtbetaz[index]; + CCTK_REAL gt11L = gt11[index]; + CCTK_REAL gt12L = gt12[index]; + CCTK_REAL gt13L = gt13[index]; + CCTK_REAL gt22L = gt22[index]; + CCTK_REAL gt23L = gt23[index]; + CCTK_REAL gt33L = gt33[index]; /* Include user supplied include files */ - /* Precompute derivatives (new style) */ + /* Precompute derivatives */ CCTK_REAL const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); CCTK_REAL const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); CCTK_REAL const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); @@ -185,111 +142,137 @@ void ML_BSSN_convertFromADMBaseGamma_Body(cGH const * restrict const cctkGH, int CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - /* Precompute derivatives (old style) */ - /* Calculate temporaries and grid functions */ - int const dir1 = Sign(beta1L); + int dir1 = Sign(beta1L); - int const dir2 = Sign(beta2L); + int dir2 = Sign(beta2L); - int const dir3 = Sign(beta3L); + int dir3 = Sign(beta3L); - CCTK_REAL const detgt = 1; + CCTK_REAL detgt = 1; - CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL const Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + CCTK_REAL Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - CCTK_REAL const Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + CCTK_REAL Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); - CCTK_REAL const Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + CCTK_REAL Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); - CCTK_REAL const Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + - gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + CCTK_REAL Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL const Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + - gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + CCTK_REAL Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL const Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + - gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); + CCTK_REAL Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL const Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + - gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + CCTK_REAL Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL const Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + - gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + CCTK_REAL Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL const Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + - gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); + CCTK_REAL Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL const Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + - gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + CCTK_REAL Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL const Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + - gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + CCTK_REAL Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL const Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + - gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + CCTK_REAL Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL const Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu21*PDstandardNth3gt22); + CCTK_REAL Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); - CCTK_REAL const Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu22*PDstandardNth3gt22); + CCTK_REAL Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); - CCTK_REAL const Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + - gtu32*PDstandardNth3gt22); + CCTK_REAL Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); - CCTK_REAL const Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + - 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + CCTK_REAL Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - CCTK_REAL const Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + - 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + CCTK_REAL Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - CCTK_REAL const Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + - 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + CCTK_REAL Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - CCTK_REAL const Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + CCTK_REAL Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - CCTK_REAL const Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + CCTK_REAL Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - CCTK_REAL const Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + CCTK_REAL Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - CCTK_REAL const AL = -(dtalpL*(-1 + LapseAdvectionCoeff)*INV(harmonicF)*pow(alphaL,-harmonicN)); + CCTK_REAL AL = -(dtalpL*(-1 + + LapseAdvectionCoeff)*INV(harmonicF)*pow(alphaL,-harmonicN)); - CCTK_REAL const B1L = 6*IfThen(ShiftGammaCoeff != 0,dtbetaxL*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff != 0,(dtbetaxL - PDupwindNth1(betax, i, j, k)*beta1L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, - (dtbetaxL - PDupwindNth2(betax, i, j, k)*beta2L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff != 0,(dtbetaxL - PDupwindNth3(betax, i, j, k)*beta3L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0); + CCTK_REAL B1L = 6*IfThen(ShiftGammaCoeff != + 0,dtbetaxL*INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != + 0,(dtbetaxL - PDupwindNth1(betax, i, j, + k)*beta1L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetaxL - PDupwindNth2(betax, i, j, + k)*beta2L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetaxL - PDupwindNth3(betax, i, j, + k)*beta3L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0); - CCTK_REAL const B2L = 6*IfThen(ShiftGammaCoeff != 0,dtbetayL*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff != 0,(dtbetayL - PDupwindNth1(betay, i, j, k)*beta1L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, - (dtbetayL - PDupwindNth2(betay, i, j, k)*beta2L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff != 0,(dtbetayL - PDupwindNth3(betay, i, j, k)*beta3L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0); - - CCTK_REAL const B3L = 6*IfThen(ShiftGammaCoeff != 0,dtbetazL*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff != 0,(dtbetazL - PDupwindNth1(betaz, i, j, k)*beta1L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != 0, - (dtbetazL - PDupwindNth2(betaz, i, j, k)*beta2L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + - IfThen(ShiftGammaCoeff != 0,(dtbetazL - PDupwindNth3(betaz, i, j, k)*beta3L*ShiftAdvectionCoeff)* - INV(ShiftGammaCoeff),0); + CCTK_REAL B2L = 6*IfThen(ShiftGammaCoeff != + 0,dtbetayL*INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != + 0,(dtbetayL - PDupwindNth1(betay, i, j, + k)*beta1L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetayL - PDupwindNth2(betay, i, j, + k)*beta2L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetayL - PDupwindNth3(betay, i, j, + k)*beta3L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0); + + CCTK_REAL B3L = 6*IfThen(ShiftGammaCoeff != + 0,dtbetazL*INV(ShiftGammaCoeff),0) + IfThen(ShiftGammaCoeff != + 0,(dtbetazL - PDupwindNth1(betaz, i, j, + k)*beta1L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetazL - PDupwindNth2(betaz, i, j, + k)*beta2L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0) + + IfThen(ShiftGammaCoeff != 0,(dtbetazL - PDupwindNth3(betaz, i, j, + k)*beta3L*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff),0); /* Copy local copies back to grid functions */ @@ -300,8 +283,6 @@ void ML_BSSN_convertFromADMBaseGamma_Body(cGH const * restrict const cctkGH, int Xt1[index] = Xt1L; Xt2[index] = Xt2L; Xt3[index] = Xt3L; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_convertFromADMBaseGamma); } diff --git a/ML_BSSN/src/ML_BSSN_convertToADMBase.c b/ML_BSSN/src/ML_BSSN_convertToADMBase.c index 5f5bde3..7fef4e0 100644 --- a/ML_BSSN/src/ML_BSSN_convertToADMBase.c +++ b/ML_BSSN/src/ML_BSSN_convertToADMBase.c @@ -28,20 +28,6 @@ void ML_BSSN_convertToADMBase_Body(cGH const * restrict const cctkGH, int const /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertToADMBase_Body"); @@ -94,102 +80,73 @@ void ML_BSSN_convertToADMBase_Body(cGH const * restrict const cctkGH, int const cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - // CCTK_REAL e4phi = INITVALUE; - - /* Declare local copies of grid functions */ - // CCTK_REAL alpL = INITVALUE; - // CCTK_REAL alphaL = INITVALUE; - // CCTK_REAL At11L = INITVALUE, At12L = INITVALUE, At13L = INITVALUE, At22L = INITVALUE, At23L = INITVALUE, At33L = INITVALUE; - // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - // CCTK_REAL betaxL = INITVALUE; - // CCTK_REAL betayL = INITVALUE; - // CCTK_REAL betazL = INITVALUE; - // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - // CCTK_REAL gxxL = INITVALUE; - // CCTK_REAL gxyL = INITVALUE; - // CCTK_REAL gxzL = INITVALUE; - // CCTK_REAL gyyL = INITVALUE; - // CCTK_REAL gyzL = INITVALUE; - // CCTK_REAL gzzL = INITVALUE; - // CCTK_REAL kxxL = INITVALUE; - // CCTK_REAL kxyL = INITVALUE; - // CCTK_REAL kxzL = INITVALUE; - // CCTK_REAL kyyL = INITVALUE; - // CCTK_REAL kyzL = INITVALUE; - // CCTK_REAL kzzL = INITVALUE; - // CCTK_REAL phiL = INITVALUE; - // CCTK_REAL trKL = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ /* Assign local copies of grid functions */ - CCTK_REAL const alphaL = alpha[index]; - CCTK_REAL const At11L = At11[index]; - CCTK_REAL const At12L = At12[index]; - CCTK_REAL const At13L = At13[index]; - CCTK_REAL const At22L = At22[index]; - CCTK_REAL const At23L = At23[index]; - CCTK_REAL const At33L = At33[index]; - CCTK_REAL const beta1L = beta1[index]; - CCTK_REAL const beta2L = beta2[index]; - CCTK_REAL const beta3L = beta3[index]; - CCTK_REAL const gt11L = gt11[index]; - CCTK_REAL const gt12L = gt12[index]; - CCTK_REAL const gt13L = gt13[index]; - CCTK_REAL const gt22L = gt22[index]; - CCTK_REAL const gt23L = gt23[index]; - CCTK_REAL const gt33L = gt33[index]; - CCTK_REAL const phiL = phi[index]; - CCTK_REAL const trKL = trK[index]; - - /* Assign local copies of subblock grid functions */ + CCTK_REAL alphaL = alpha[index]; + CCTK_REAL At11L = At11[index]; + CCTK_REAL At12L = At12[index]; + CCTK_REAL At13L = At13[index]; + CCTK_REAL At22L = At22[index]; + CCTK_REAL At23L = At23[index]; + CCTK_REAL At33L = At33[index]; + CCTK_REAL beta1L = beta1[index]; + CCTK_REAL beta2L = beta2[index]; + CCTK_REAL beta3L = beta3[index]; + CCTK_REAL gt11L = gt11[index]; + CCTK_REAL gt12L = gt12[index]; + CCTK_REAL gt13L = gt13[index]; + CCTK_REAL gt22L = gt22[index]; + CCTK_REAL gt23L = gt23[index]; + CCTK_REAL gt33L = gt33[index]; + CCTK_REAL gxxL = gxx[index]; + CCTK_REAL gxyL = gxy[index]; + CCTK_REAL gxzL = gxz[index]; + CCTK_REAL gyyL = gyy[index]; + CCTK_REAL gyzL = gyz[index]; + CCTK_REAL gzzL = gzz[index]; + CCTK_REAL phiL = phi[index]; + CCTK_REAL trKL = trK[index]; /* Include user supplied include files */ - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ + /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL const e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - CCTK_REAL const gxxL = e4phi*gt11L; + gxxL = e4phi*gt11L; - CCTK_REAL const gxyL = e4phi*gt12L; + gxyL = e4phi*gt12L; - CCTK_REAL const gxzL = e4phi*gt13L; + gxzL = e4phi*gt13L; - CCTK_REAL const gyyL = e4phi*gt22L; + gyyL = e4phi*gt22L; - CCTK_REAL const gyzL = e4phi*gt23L; + gyzL = e4phi*gt23L; - CCTK_REAL const gzzL = e4phi*gt33L; + gzzL = e4phi*gt33L; - CCTK_REAL const kxxL = At11L*e4phi + gxxL*kthird*trKL; + CCTK_REAL kxxL = At11L*e4phi + gxxL*kthird*trKL; - CCTK_REAL const kxyL = At12L*e4phi + gxyL*kthird*trKL; + CCTK_REAL kxyL = At12L*e4phi + gxyL*kthird*trKL; - CCTK_REAL const kxzL = At13L*e4phi + gxzL*kthird*trKL; + CCTK_REAL kxzL = At13L*e4phi + gxzL*kthird*trKL; - CCTK_REAL const kyyL = At22L*e4phi + gyyL*kthird*trKL; + CCTK_REAL kyyL = At22L*e4phi + gyyL*kthird*trKL; - CCTK_REAL const kyzL = At23L*e4phi + gyzL*kthird*trKL; + CCTK_REAL kyzL = At23L*e4phi + gyzL*kthird*trKL; - CCTK_REAL const kzzL = At33L*e4phi + gzzL*kthird*trKL; + CCTK_REAL kzzL = At33L*e4phi + gzzL*kthird*trKL; - CCTK_REAL const alpL = alphaL; + CCTK_REAL alpL = alphaL; - CCTK_REAL const betaxL = beta1L; + CCTK_REAL betaxL = beta1L; - CCTK_REAL const betayL = beta2L; + CCTK_REAL betayL = beta2L; - CCTK_REAL const betazL = beta3L; + CCTK_REAL betazL = beta3L; /* Copy local copies back to grid functions */ @@ -209,8 +166,6 @@ void ML_BSSN_convertToADMBase_Body(cGH const * restrict const cctkGH, int const kyy[index] = kyyL; kyz[index] = kyzL; kzz[index] = kzzL; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_convertToADMBase); } diff --git a/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.c b/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.c index 8403ae3..15dbd8a 100644 --- a/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.c +++ b/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.c @@ -28,20 +28,6 @@ void ML_BSSN_convertToADMBaseDtLapseShift_Body(cGH const * restrict const cctkGH /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertToADMBaseDtLapseShift_Body"); @@ -94,65 +80,47 @@ void ML_BSSN_convertToADMBaseDtLapseShift_Body(cGH const * restrict const cctkGH cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - // CCTK_REAL dir1 = INITVALUE, dir2 = INITVALUE, dir3 = INITVALUE; - - /* Declare local copies of grid functions */ - // CCTK_REAL AL = INITVALUE; - // CCTK_REAL alphaL = INITVALUE; - // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - // CCTK_REAL beta1L = INITVALUE, beta2L = INITVALUE, beta3L = INITVALUE; - // CCTK_REAL dtalpL = INITVALUE; - // CCTK_REAL dtbetaxL = INITVALUE; - // CCTK_REAL dtbetayL = INITVALUE; - // CCTK_REAL dtbetazL = INITVALUE; - // CCTK_REAL trKL = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ /* Assign local copies of grid functions */ - CCTK_REAL const AL = A[index]; - CCTK_REAL const alphaL = alpha[index]; - CCTK_REAL const B1L = B1[index]; - CCTK_REAL const B2L = B2[index]; - CCTK_REAL const B3L = B3[index]; - CCTK_REAL const beta1L = beta1[index]; - CCTK_REAL const beta2L = beta2[index]; - CCTK_REAL const beta3L = beta3[index]; - CCTK_REAL const trKL = trK[index]; - - /* Assign local copies of subblock grid functions */ + CCTK_REAL AL = A[index]; + CCTK_REAL alphaL = alpha[index]; + CCTK_REAL B1L = B1[index]; + CCTK_REAL B2L = B2[index]; + CCTK_REAL B3L = B3[index]; + CCTK_REAL beta1L = beta1[index]; + CCTK_REAL beta2L = beta2[index]; + CCTK_REAL beta3L = beta3[index]; + CCTK_REAL trKL = trK[index]; /* Include user supplied include files */ - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ + /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - int const dir1 = Sign(beta1L); + int dir1 = Sign(beta1L); - int const dir2 = Sign(beta2L); + int dir2 = Sign(beta2L); - int const dir3 = Sign(beta3L); + int dir3 = Sign(beta3L); - CCTK_REAL const dtalpL = (PDupwindNth1(alpha, i, j, k)*beta1L + PDupwindNth2(alpha, i, j, k)*beta2L + - PDupwindNth3(alpha, i, j, k)*beta3L)*LapseAdvectionCoeff + - harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL dtalpL = (PDupwindNth1(alpha, i, j, k)*beta1L + + PDupwindNth2(alpha, i, j, k)*beta2L + PDupwindNth3(alpha, i, j, + k)*beta3L)*LapseAdvectionCoeff + harmonicF*(AL*(-1 + + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - CCTK_REAL const dtbetaxL = (PDupwindNth1(beta1, i, j, k)*beta1L + PDupwindNth2(beta1, i, j, k)*beta2L + - PDupwindNth3(beta1, i, j, k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; + CCTK_REAL dtbetaxL = (PDupwindNth1(beta1, i, j, k)*beta1L + + PDupwindNth2(beta1, i, j, k)*beta2L + PDupwindNth3(beta1, i, j, + k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff; - CCTK_REAL const dtbetayL = (PDupwindNth1(beta2, i, j, k)*beta1L + PDupwindNth2(beta2, i, j, k)*beta2L + - PDupwindNth3(beta2, i, j, k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; + CCTK_REAL dtbetayL = (PDupwindNth1(beta2, i, j, k)*beta1L + + PDupwindNth2(beta2, i, j, k)*beta2L + PDupwindNth3(beta2, i, j, + k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff; - CCTK_REAL const dtbetazL = (PDupwindNth1(beta3, i, j, k)*beta1L + PDupwindNth2(beta3, i, j, k)*beta2L + - PDupwindNth3(beta3, i, j, k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; + CCTK_REAL dtbetazL = (PDupwindNth1(beta3, i, j, k)*beta1L + + PDupwindNth2(beta3, i, j, k)*beta2L + PDupwindNth3(beta3, i, j, + k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff; /* Copy local copies back to grid functions */ @@ -160,8 +128,6 @@ void ML_BSSN_convertToADMBaseDtLapseShift_Body(cGH const * restrict const cctkGH dtbetax[index] = dtbetaxL; dtbetay[index] = dtbetayL; dtbetaz[index] = dtbetazL; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_convertToADMBaseDtLapseShift); } diff --git a/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c b/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c index 06870f4..44874d5 100644 --- a/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c +++ b/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c @@ -28,20 +28,6 @@ void ML_BSSN_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict cons /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertToADMBaseDtLapseShiftBoundary_Body"); @@ -94,49 +80,30 @@ void ML_BSSN_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict cons cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - - /* Declare local copies of grid functions */ - // CCTK_REAL AL = INITVALUE; - // CCTK_REAL alphaL = INITVALUE; - // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - // CCTK_REAL dtalpL = INITVALUE; - // CCTK_REAL dtbetaxL = INITVALUE; - // CCTK_REAL dtbetayL = INITVALUE; - // CCTK_REAL dtbetazL = INITVALUE; - // CCTK_REAL trKL = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ /* Assign local copies of grid functions */ - CCTK_REAL const AL = A[index]; - CCTK_REAL const alphaL = alpha[index]; - CCTK_REAL const B1L = B1[index]; - CCTK_REAL const B2L = B2[index]; - CCTK_REAL const B3L = B3[index]; - CCTK_REAL const trKL = trK[index]; - - /* Assign local copies of subblock grid functions */ + CCTK_REAL AL = A[index]; + CCTK_REAL alphaL = alpha[index]; + CCTK_REAL B1L = B1[index]; + CCTK_REAL B2L = B2[index]; + CCTK_REAL B3L = B3[index]; + CCTK_REAL trKL = trK[index]; /* Include user supplied include files */ - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ + /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL const dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - + LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - CCTK_REAL const dtbetaxL = B1L*ShiftGammaCoeff; + CCTK_REAL dtbetaxL = B1L*ShiftGammaCoeff; - CCTK_REAL const dtbetayL = B2L*ShiftGammaCoeff; + CCTK_REAL dtbetayL = B2L*ShiftGammaCoeff; - CCTK_REAL const dtbetazL = B3L*ShiftGammaCoeff; + CCTK_REAL dtbetazL = B3L*ShiftGammaCoeff; /* Copy local copies back to grid functions */ @@ -144,8 +111,6 @@ void ML_BSSN_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict cons dtbetax[index] = dtbetaxL; dtbetay[index] = dtbetayL; dtbetaz[index] = dtbetazL; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_convertToADMBaseDtLapseShiftBoundary); } diff --git a/ML_BSSN/src/ML_BSSN_convertToADMBaseFakeDtLapseShift.c b/ML_BSSN/src/ML_BSSN_convertToADMBaseFakeDtLapseShift.c index cae8455..b0f579b 100644 --- a/ML_BSSN/src/ML_BSSN_convertToADMBaseFakeDtLapseShift.c +++ b/ML_BSSN/src/ML_BSSN_convertToADMBaseFakeDtLapseShift.c @@ -28,20 +28,6 @@ void ML_BSSN_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const cc /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertToADMBaseFakeDtLapseShift_Body"); @@ -94,49 +80,30 @@ void ML_BSSN_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const cc cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - - /* Declare local copies of grid functions */ - // CCTK_REAL AL = INITVALUE; - // CCTK_REAL alphaL = INITVALUE; - // CCTK_REAL B1L = INITVALUE, B2L = INITVALUE, B3L = INITVALUE; - // CCTK_REAL dtalpL = INITVALUE; - // CCTK_REAL dtbetaxL = INITVALUE; - // CCTK_REAL dtbetayL = INITVALUE; - // CCTK_REAL dtbetazL = INITVALUE; - // CCTK_REAL trKL = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ /* Assign local copies of grid functions */ - CCTK_REAL const AL = A[index]; - CCTK_REAL const alphaL = alpha[index]; - CCTK_REAL const B1L = B1[index]; - CCTK_REAL const B2L = B2[index]; - CCTK_REAL const B3L = B3[index]; - CCTK_REAL const trKL = trK[index]; - - /* Assign local copies of subblock grid functions */ + CCTK_REAL AL = A[index]; + CCTK_REAL alphaL = alpha[index]; + CCTK_REAL B1L = B1[index]; + CCTK_REAL B2L = B2[index]; + CCTK_REAL B3L = B3[index]; + CCTK_REAL trKL = trK[index]; /* Include user supplied include files */ - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ + /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL const dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - + LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - CCTK_REAL const dtbetaxL = B1L*ShiftGammaCoeff; + CCTK_REAL dtbetaxL = B1L*ShiftGammaCoeff; - CCTK_REAL const dtbetayL = B2L*ShiftGammaCoeff; + CCTK_REAL dtbetayL = B2L*ShiftGammaCoeff; - CCTK_REAL const dtbetazL = B3L*ShiftGammaCoeff; + CCTK_REAL dtbetazL = B3L*ShiftGammaCoeff; /* Copy local copies back to grid functions */ @@ -144,8 +111,6 @@ void ML_BSSN_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const cc dtbetax[index] = dtbetaxL; dtbetay[index] = dtbetayL; dtbetaz[index] = dtbetazL; - - /* Copy local copies back to subblock grid functions */ } LC_ENDLOOP3 (ML_BSSN_convertToADMBaseFakeDtLapseShift); } diff --git a/ML_BSSN/src/ML_BSSN_enforce.c b/ML_BSSN/src/ML_BSSN_enforce.c index 6d58561..f9442ad 100644 --- a/ML_BSSN/src/ML_BSSN_enforce.c +++ b/ML_BSSN/src/ML_BSSN_enforce.c @@ -28,20 +28,6 @@ void ML_BSSN_enforce_Body(cGH const * restrict const cctkGH, int const dir, int /* Declare finite differencing variables */ - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_enforce_Body"); @@ -94,89 +80,69 @@ void ML_BSSN_enforce_Body(cGH const * restrict const cctkGH, int const dir, int cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) { // int index = INITVALUE; - // int subblock_index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - // CCTK_REAL detgt = INITVALUE; - // CCTK_REAL gtu11 = INITVALUE, gtu21 = INITVALUE, gtu22 = INITVALUE, gtu31 = INITVALUE, gtu32 = INITVALUE, gtu33 = INITVALUE; - // CCTK_REAL trAt = INITVALUE; - - /* Declare local copies of grid functions */ - // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; - // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; - // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; - // CCTK_REAL gt11L = INITVALUE, gt12L = INITVALUE, gt13L = INITVALUE, gt22L = INITVALUE, gt23L = INITVALUE, gt33L = INITVALUE; - /* Declare precomputed derivatives*/ - /* Declare derivatives */ /* Assign local copies of grid functions */ - CCTK_REAL const alphaL = alpha[index]; - CCTK_REAL const At11L = At11[index]; - CCTK_REAL const At12L = At12[index]; - CCTK_REAL const At13L = At13[index]; - CCTK_REAL const At22L = At22[index]; - CCTK_REAL const At23L = At23[index]; - CCTK_REAL const At33L = At33[index]; - CCTK_REAL const gt11L = gt11[index]; - CCTK_REAL const gt12L = gt12[index]; - CCTK_REAL const gt13L = gt13[index]; - CCTK_REAL const gt22L = gt22[index]; - CCTK_REAL const gt23L = gt23[index]; - CCTK_REAL const gt33L = gt33[index]; - - /* Assign local copies of subblock grid functions */ + CCTK_REAL alphaL = alpha[index]; + CCTK_REAL At11L = At11[index]; + CCTK_REAL At12L = At12[index]; + CCTK_REAL At13L = At13[index]; + CCTK_REAL At22L = At22[index]; + CCTK_REAL At23L = At23[index]; + CCTK_REAL At33L = At33[index]; + CCTK_REAL gt11L = gt11[index]; + CCTK_REAL gt12L = gt12[index]; + CCTK_REAL gt13L = gt13[index]; + CCTK_REAL gt22L = gt22[index]; + CCTK_REAL gt23L = gt23[index]; + CCTK_REAL gt33L = gt33[index]; /* Include user supplied include files */ - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ + /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL const detgt = 1; + CCTK_REAL detgt = 1; - CCTK_REAL const gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL const gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL const gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL const gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL const gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL const gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL const trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; + CCTK_REAL trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; - CCTK_REAL const At11rhsL = At11L - gt11L*kthird*trAt; + At11L = At11L - gt11L*kthird*trAt; - CCTK_REAL const At12rhsL = At12L - gt12L*kthird*trAt; + At12L = At12L - gt12L*kthird*trAt; - CCTK_REAL const At13rhsL = At13L - gt13L*kthird*trAt; + At13L = At13L - gt13L*kthird*trAt; - CCTK_REAL const At22rhsL = At22L - gt22L*kthird*trAt; + At22L = At22L - gt22L*kthird*trAt; - CCTK_REAL const At23rhsL = At23L - gt23L*kthird*trAt; + At23L = At23L - gt23L*kthird*trAt; - CCTK_REAL const At33rhsL = At33L - gt33L*kthird*trAt; + At33L = At33L - gt33L*kthird*trAt; - CCTK_REAL const alpharhsL = fmax(alphaL,MinimumLapse); + alphaL = fmax(alphaL,MinimumLapse); /* Copy local copies back to grid functions */ - alpharhs[index] = alpharhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - - /* Copy local copies back to subblock grid functions */ + alpha[index] = alphaL; + At11[index] = At11L; + At12[index] = At12L; + At13[index] = At13L; + At22[index] = At22L; + At23[index] = At23L; + At33[index] = At33L; } LC_ENDLOOP3 (ML_BSSN_enforce); } diff --git a/ML_BSSN/src/ML_BSSN_enforce2.c b/ML_BSSN/src/ML_BSSN_enforce2.c deleted file mode 100644 index 348c0da..0000000 --- a/ML_BSSN/src/ML_BSSN_enforce2.c +++ /dev/null @@ -1,164 +0,0 @@ -/* File produced by Kranc */ - -#define KRANC_C - -#include <assert.h> -#include <math.h> -#include <stdio.h> -#include <stdlib.h> -#include "cctk.h" -#include "cctk_Arguments.h" -#include "cctk_Parameters.h" -#include "GenericFD.h" -#include "Differencing.h" -#include "loopcontrol.h" - -/* Define macros used in calculations */ -#define INITVALUE (42) -#define INV(x) ((1.0) / (x)) -#define SQR(x) ((x) * (x)) -#define CUB(x) ((x) * (x) * (x)) -#define QAD(x) ((x) * (x) * (x) * (x)) - -void ML_BSSN_enforce2_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - - /* Declare finite differencing variables */ - - /* Declare predefined quantities */ - // CCTK_REAL p1o12dx = INITVALUE; - // CCTK_REAL p1o12dy = INITVALUE; - // CCTK_REAL p1o12dz = INITVALUE; - // CCTK_REAL p1o144dxdy = INITVALUE; - // CCTK_REAL p1o144dxdz = INITVALUE; - // CCTK_REAL p1o144dydz = INITVALUE; - // CCTK_REAL p1odx = INITVALUE; - // CCTK_REAL p1ody = INITVALUE; - // CCTK_REAL p1odz = INITVALUE; - // CCTK_REAL pm1o12dx2 = INITVALUE; - // CCTK_REAL pm1o12dy2 = INITVALUE; - // CCTK_REAL pm1o12dz2 = INITVALUE; - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_enforce2_Body"); - } - - if (cctk_iteration % ML_BSSN_enforce2_calc_every != ML_BSSN_enforce2_calc_offset) - { - return; - } - - /* Include user-supplied include files */ - - /* Initialise finite differencing variables */ - CCTK_REAL const dx = CCTK_DELTA_SPACE(0); - CCTK_REAL const dy = CCTK_DELTA_SPACE(1); - CCTK_REAL const dz = CCTK_DELTA_SPACE(2); - int const di = 1; - int const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); - int const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); - CCTK_REAL const dxi = 1.0 / dx; - CCTK_REAL const dyi = 1.0 / dy; - CCTK_REAL const dzi = 1.0 / dz; - CCTK_REAL const khalf = 0.5; - CCTK_REAL const kthird = 1/3.0; - CCTK_REAL const ktwothird = 2.0/3.0; - CCTK_REAL const kfourthird = 4.0/3.0; - CCTK_REAL const keightthird = 8.0/3.0; - CCTK_REAL const hdxi = 0.5 * dxi; - CCTK_REAL const hdyi = 0.5 * dyi; - CCTK_REAL const hdzi = 0.5 * dzi; - - /* Initialize predefined quantities */ - CCTK_REAL const p1o12dx = INV(dx)/12.; - CCTK_REAL const p1o12dy = INV(dy)/12.; - CCTK_REAL const p1o12dz = INV(dz)/12.; - CCTK_REAL const p1o144dxdy = (INV(dx)*INV(dy))/144.; - CCTK_REAL const p1o144dxdz = (INV(dx)*INV(dz))/144.; - CCTK_REAL const p1o144dydz = (INV(dy)*INV(dz))/144.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o12dx2 = -pow(dx,-2)/12.; - CCTK_REAL const pm1o12dy2 = -pow(dy,-2)/12.; - CCTK_REAL const pm1o12dz2 = -pow(dz,-2)/12.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_enforce2, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - // int subblock_index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2])); - - /* Declare shorthands */ - - /* Declare local copies of grid functions */ - // CCTK_REAL alphaL = INITVALUE, alpharhsL = INITVALUE; - // CCTK_REAL At11L = INITVALUE, At11rhsL = INITVALUE, At12L = INITVALUE, At12rhsL = INITVALUE, At13L = INITVALUE, At13rhsL = INITVALUE; - // CCTK_REAL At22L = INITVALUE, At22rhsL = INITVALUE, At23L = INITVALUE, At23rhsL = INITVALUE, At33L = INITVALUE, At33rhsL = INITVALUE; - /* Declare precomputed derivatives*/ - - /* Declare derivatives */ - - /* Assign local copies of grid functions */ - CCTK_REAL const alpharhsL = alpharhs[index]; - CCTK_REAL const At11rhsL = At11rhs[index]; - CCTK_REAL const At12rhsL = At12rhs[index]; - CCTK_REAL const At13rhsL = At13rhs[index]; - CCTK_REAL const At22rhsL = At22rhs[index]; - CCTK_REAL const At23rhsL = At23rhs[index]; - CCTK_REAL const At33rhsL = At33rhs[index]; - - /* Assign local copies of subblock grid functions */ - - /* Include user supplied include files */ - - /* Precompute derivatives (new style) */ - - /* Precompute derivatives (old style) */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL const At11L = At11rhsL; - - CCTK_REAL const At12L = At12rhsL; - - CCTK_REAL const At13L = At13rhsL; - - CCTK_REAL const At22L = At22rhsL; - - CCTK_REAL const At23L = At23rhsL; - - CCTK_REAL const At33L = At33rhsL; - - CCTK_REAL const alphaL = alpharhsL; - - - /* Copy local copies back to grid functions */ - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - - /* Copy local copies back to subblock grid functions */ - } - LC_ENDLOOP3 (ML_BSSN_enforce2); -} - -void ML_BSSN_enforce2(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_enforce2_Body); -} diff --git a/ML_BSSN/src/make.code.defn b/ML_BSSN/src/make.code.defn index e78720b..4132fcc 100644 --- a/ML_BSSN/src/make.code.defn +++ b/ML_BSSN/src/make.code.defn @@ -1,3 +1,3 @@ # File produced by Kranc -SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_Minkowski.c ML_BSSN_convertFromADMBase.c ML_BSSN_convertFromADMBaseGamma.c ML_BSSN_RHS.c ML_BSSN_RHS1.c ML_BSSN_RHS2.c ML_BSSN_RHSStaticBoundary.c ML_BSSN_RHSRadiativeBoundary.c ML_BSSN_enforce.c ML_BSSN_enforce2.c ML_BSSN_boundary.c ML_BSSN_convertToADMBase.c ML_BSSN_convertToADMBaseDtLapseShift.c ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_convertToADMBaseFakeDtLapseShift.c ML_BSSN_constraints.c ML_BSSN_constraints_boundary.c Boundaries.c +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_Minkowski.c ML_BSSN_convertFromADMBase.c ML_BSSN_convertFromADMBaseGamma.c ML_BSSN_RHS.c ML_BSSN_RHS1.c ML_BSSN_RHS2.c ML_BSSN_RHSStaticBoundary.c ML_BSSN_RHSRadiativeBoundary.c ML_BSSN_enforce.c ML_BSSN_boundary.c ML_BSSN_convertToADMBase.c ML_BSSN_convertToADMBaseDtLapseShift.c ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_convertToADMBaseFakeDtLapseShift.c ML_BSSN_constraints.c ML_BSSN_constraints_boundary.c Boundaries.c |