diff options
105 files changed, 18393 insertions, 13346 deletions
diff --git a/ML_BSSN/interface.ccl b/ML_BSSN/interface.ccl index 0474dc3..2ce429c 100644 --- a/ML_BSSN/interface.ccl +++ b/ML_BSSN/interface.ccl @@ -8,6 +8,7 @@ inherits: ADMBase TmunuBase Grid GenericFD Boundary USES INCLUDE: GenericFD.h USES INCLUDE: Symmetry.h +USES INCLUDE: Vectors.hh USES INCLUDE: sbp_calc_coeffs.h USES INCLUDE: Boundary.h USES INCLUDE: loopcontrol.h diff --git a/ML_BSSN/param.ccl b/ML_BSSN/param.ccl index c0e80de..4df76a8 100644 --- a/ML_BSSN/param.ccl +++ b/ML_BSSN/param.ccl @@ -55,6 +55,12 @@ CCTK_INT verbose "verbose" } 0 restricted: +CCTK_REAL LapseACoeff "Whether to evolve A in time" +{ + "*:*" :: "" +} 0 + +restricted: CCTK_REAL harmonicF "d/dt alpha = - f alpha^n K (harmonic=1, 1+log=2)" { "*:*" :: "" @@ -67,6 +73,12 @@ CCTK_REAL AlphaDriver "AlphaDriver" } 0 restricted: +CCTK_REAL ShiftBCoeff "Whether to evolve B^i in time" +{ + "*:*" :: "" +} 1 + +restricted: CCTK_REAL ShiftGammaCoeff "ShiftGammaCoeff" { "*:*" :: "" @@ -109,6 +121,12 @@ CCTK_REAL SpatialShiftGammaCoeffRadius "Radius at which the ShiftGammaCoefficien } 1000000000000 restricted: +CCTK_REAL EpsDiss "Dissipation strength" +{ + "*:*" :: "" +} 0 + +restricted: CCTK_INT harmonicN "d/dt alpha = - f alpha^n K (harmonic=2, 1+log=1)" { *:* :: "" diff --git a/ML_BSSN/src/Differencing.h b/ML_BSSN/src/Differencing.h index 1cdce99..1605049 100644 --- a/ML_BSSN/src/Differencing.h +++ b/ML_BSSN/src/Differencing.h @@ -1,18 +1,27 @@ -#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) -#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) -#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) -#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) -#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) -#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) -#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) -#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) -#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) -#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) -#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) -#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) -#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(2*dir1)+dj*(0)+dk*(0)] + (u)[index+di*(3*dir1)+dj*(0)+dk*(0)] - 3*(u)[index+di*(-dir1)+dj*(0)+dk*(0)] + 18*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) -#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(2*dir2)+dk*(0)] + (u)[index+di*(0)+dj*(3*dir2)+dk*(0)] - 3*(u)[index+di*(0)+dj*(-dir2)+dk*(0)] + 18*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) -#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(0)+dk*(2*dir3)] + (u)[index+di*(0)+dj*(0)+dk*(3*dir3)] - 3*(u)[index+di*(0)+dj*(0)+dk*(-dir3)] + 18*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) -#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) -#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) -#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + 8*vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) - vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]))) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + 8*vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) - vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]))) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + 8*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) - vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]))) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 16*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]))) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 16*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]))) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 16*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]))) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*(vec_loadu((u)[index+di*(-1)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-1)+dk*(0)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(1)+dk*(0)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-1)+dk*(0)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(-2)+dk*(0)]) - vec_loadu((u)[index+di*(-2)+dj*(2)+dk*(0)]) - vec_loadu((u)[index+di*(2)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(2)+dk*(0)]))) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-2)]) - vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(2)]) - vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(2)]))) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*(vec_loadu((u)[index+di*(-1)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-1)+dk*(0)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(1)+dk*(0)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-1)+dk*(0)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(-2)+dk*(0)]) - vec_loadu((u)[index+di*(-2)+dj*(2)+dk*(0)]) - vec_loadu((u)[index+di*(2)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(2)+dk*(0)]))) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-2)]) - vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(2)]) - vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(2)]))) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-2)]) - vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(2)]) - vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(2)]))) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-2)]) - vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(2)]) - vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(2)]))) +#define PDdissipationNth1(u,i,j,k) (p1o64dx*(-20*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 15*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)])) - 6*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)])) + vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(0)]))) +#define PDdissipationNth2(u,i,j,k) (p1o64dy*(-20*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 15*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)])) - 6*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)])) + vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(0)]))) +#define PDdissipationNth3(u,i,j,k) (p1o64dz*(-20*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 15*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)])) - 6*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)])) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3)]))) +#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 6*vec_loadu((u)[index+di*(2*dir1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(3*dir1)+dj*(0)+dk*(0)]) - 3*vec_loadu((u)[index+di*(-dir1)+dj*(0)+dk*(0)]) + 18*vec_loadu((u)[index+di*(dir1)+dj*(0)+dk*(0)]))*dir1) +#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 6*vec_loadu((u)[index+di*(0)+dj*(2*dir2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(3*dir2)+dk*(0)]) - 3*vec_loadu((u)[index+di*(0)+dj*(-dir2)+dk*(0)]) + 18*vec_loadu((u)[index+di*(0)+dj*(dir2)+dk*(0)]))*dir2) +#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 6*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2*dir3)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3*dir3)]) - 3*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-dir3)]) + 18*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(dir3)]))*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(dir1)+dj*(0)+dk*(0)]))*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(dir2)+dk*(0)]))*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(dir3)]))*dir3) +#define PDupwindNthAnti1(u,i,j,k) (p1o24dx*(-21*vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + 21*vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)]) + 6*vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) - 6*vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]) - vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(0)]))) +#define PDupwindNthSymm1(u,i,j,k) (p1o24dx*(-20*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 15*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)])) - 6*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)])) + vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(0)]))) +#define PDupwindNthAnti2(u,i,j,k) (p1o24dy*(-21*vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + 21*vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)]) + 6*vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) - 6*vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]) - vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(0)]))) +#define PDupwindNthSymm2(u,i,j,k) (p1o24dy*(-20*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 15*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)])) - 6*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)])) + vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(0)]))) +#define PDupwindNthAnti3(u,i,j,k) (p1o24dz*(-21*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + 21*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)]) + 6*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) - 6*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]) - vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3)]))) +#define PDupwindNthSymm3(u,i,j,k) (p1o24dz*(-20*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 15*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)])) - 6*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)])) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3)]))) diff --git a/ML_BSSN/src/ML_BSSN_Minkowski.c b/ML_BSSN/src/ML_BSSN_Minkowski.cc index a1fc136..7144b7c 100644 --- a/ML_BSSN/src/ML_BSSN_Minkowski.c +++ b/ML_BSSN/src/ML_BSSN_Minkowski.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_Minkowski_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[]) +static void ML_BSSN_Minkowski_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; @@ -66,6 +67,12 @@ void ML_BSSN_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, in 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -90,88 +97,89 @@ void ML_BSSN_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, in /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL phiL = IfThen(conformalMethod,1,0); + CCTK_REAL_VEC phiL = IfThen(conformalMethod,1,0); - CCTK_REAL gt11L = 1; + CCTK_REAL_VEC gt11L = 1; - CCTK_REAL gt12L = 0; + CCTK_REAL_VEC gt12L = 0; - CCTK_REAL gt13L = 0; + CCTK_REAL_VEC gt13L = 0; - CCTK_REAL gt22L = 1; + CCTK_REAL_VEC gt22L = 1; - CCTK_REAL gt23L = 0; + CCTK_REAL_VEC gt23L = 0; - CCTK_REAL gt33L = 1; + CCTK_REAL_VEC gt33L = 1; - CCTK_REAL trKL = 0; + CCTK_REAL_VEC trKL = 0; - CCTK_REAL At11L = 0; + CCTK_REAL_VEC At11L = 0; - CCTK_REAL At12L = 0; + CCTK_REAL_VEC At12L = 0; - CCTK_REAL At13L = 0; + CCTK_REAL_VEC At13L = 0; - CCTK_REAL At22L = 0; + CCTK_REAL_VEC At22L = 0; - CCTK_REAL At23L = 0; + CCTK_REAL_VEC At23L = 0; - CCTK_REAL At33L = 0; + CCTK_REAL_VEC At33L = 0; - CCTK_REAL Xt1L = 0; + CCTK_REAL_VEC Xt1L = 0; - CCTK_REAL Xt2L = 0; + CCTK_REAL_VEC Xt2L = 0; - CCTK_REAL Xt3L = 0; + CCTK_REAL_VEC Xt3L = 0; - CCTK_REAL alphaL = 1; + CCTK_REAL_VEC alphaL = 1; - CCTK_REAL AL = 0; + CCTK_REAL_VEC AL = 0; - CCTK_REAL beta1L = 0; + CCTK_REAL_VEC beta1L = 0; - CCTK_REAL beta2L = 0; + CCTK_REAL_VEC beta2L = 0; - CCTK_REAL beta3L = 0; + CCTK_REAL_VEC beta3L = 0; - CCTK_REAL B1L = 0; + CCTK_REAL_VEC B1L = 0; - CCTK_REAL B2L = 0; + CCTK_REAL_VEC B2L = 0; - CCTK_REAL B3L = 0; + CCTK_REAL_VEC B3L = 0; /* Copy local copies back to grid functions */ - A[index] = AL; - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; + vec_store_nta(A[index],AL); + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + vec_store_nta(B1[index],B1L); + vec_store_nta(B2[index],B2L); + vec_store_nta(B3[index],B3L); + vec_store_nta(beta1[index],beta1L); + vec_store_nta(beta2[index],beta2L); + vec_store_nta(beta3[index],beta3L); + vec_store_nta(gt11[index],gt11L); + vec_store_nta(gt12[index],gt12L); + vec_store_nta(gt13[index],gt13L); + vec_store_nta(gt22[index],gt22L); + vec_store_nta(gt23[index],gt23L); + vec_store_nta(gt33[index],gt33L); + vec_store_nta(phi[index],phiL); + vec_store_nta(trK[index],trKL); + vec_store_nta(Xt1[index],Xt1L); + vec_store_nta(Xt2[index],Xt2L); + vec_store_nta(Xt3[index],Xt3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_Minkowski); } -void ML_BSSN_Minkowski(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_Minkowski(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN/src/ML_BSSN_RHS1.c b/ML_BSSN/src/ML_BSSN_RHS1.c deleted file mode 100644 index 1378a36..0000000 --- a/ML_BSSN/src/ML_BSSN_RHS1.c +++ /dev/null @@ -1,599 +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_RHS1_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_RHS1_Body"); - } - - if (cctk_iteration % ML_BSSN_RHS1_calc_every != ML_BSSN_RHS1_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_RHS1, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1alpha = INITVALUE; - // CCTK_REAL PDstandardNth2alpha = INITVALUE; - // CCTK_REAL PDstandardNth3alpha = INITVALUE; - // CCTK_REAL PDstandardNth11alpha = INITVALUE; - // CCTK_REAL PDstandardNth22alpha = INITVALUE; - // CCTK_REAL PDstandardNth33alpha = INITVALUE; - // CCTK_REAL PDstandardNth12alpha = INITVALUE; - // CCTK_REAL PDstandardNth13alpha = INITVALUE; - // CCTK_REAL PDstandardNth23alpha = INITVALUE; - // CCTK_REAL PDstandardNth1beta1 = INITVALUE; - // CCTK_REAL PDstandardNth2beta1 = INITVALUE; - // CCTK_REAL PDstandardNth3beta1 = INITVALUE; - // CCTK_REAL PDstandardNth11beta1 = INITVALUE; - // CCTK_REAL PDstandardNth22beta1 = INITVALUE; - // CCTK_REAL PDstandardNth33beta1 = INITVALUE; - // CCTK_REAL PDstandardNth12beta1 = INITVALUE; - // CCTK_REAL PDstandardNth13beta1 = INITVALUE; - // CCTK_REAL PDstandardNth23beta1 = INITVALUE; - // CCTK_REAL PDstandardNth1beta2 = INITVALUE; - // CCTK_REAL PDstandardNth2beta2 = INITVALUE; - // CCTK_REAL PDstandardNth3beta2 = INITVALUE; - // CCTK_REAL PDstandardNth11beta2 = INITVALUE; - // CCTK_REAL PDstandardNth22beta2 = INITVALUE; - // CCTK_REAL PDstandardNth33beta2 = INITVALUE; - // CCTK_REAL PDstandardNth12beta2 = INITVALUE; - // CCTK_REAL PDstandardNth13beta2 = INITVALUE; - // CCTK_REAL PDstandardNth23beta2 = INITVALUE; - // CCTK_REAL PDstandardNth1beta3 = INITVALUE; - // CCTK_REAL PDstandardNth2beta3 = INITVALUE; - // CCTK_REAL PDstandardNth3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth11beta3 = INITVALUE; - // CCTK_REAL PDstandardNth22beta3 = INITVALUE; - // CCTK_REAL PDstandardNth33beta3 = INITVALUE; - // CCTK_REAL PDstandardNth12beta3 = INITVALUE; - // CCTK_REAL PDstandardNth13beta3 = INITVALUE; - // CCTK_REAL PDstandardNth23beta3 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth1trK = INITVALUE; - // CCTK_REAL PDstandardNth2trK = INITVALUE; - // CCTK_REAL PDstandardNth3trK = INITVALUE; - - /* Assign local copies of 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 */ - 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); - CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - CCTK_REAL const PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); - CCTK_REAL const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); - CCTK_REAL const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); - CCTK_REAL const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); - CCTK_REAL const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); - CCTK_REAL const PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); - CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - CCTK_REAL const PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); - CCTK_REAL const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); - CCTK_REAL const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); - CCTK_REAL const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); - CCTK_REAL const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); - CCTK_REAL const PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); - CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - CCTK_REAL const PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); - CCTK_REAL const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); - CCTK_REAL const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); - CCTK_REAL const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); - CCTK_REAL const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); - CCTK_REAL const PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); - 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); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - 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 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 fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - CCTK_REAL cdphi1 = fac1*PDstandardNth1phi; - - CCTK_REAL cdphi2 = fac1*PDstandardNth2phi; - - CCTK_REAL cdphi3 = fac1*PDstandardNth3phi; - - CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - CCTK_REAL Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; - - CCTK_REAL Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; - - 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 e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - CCTK_REAL em4phi = INV(e4phi); - - 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 trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu21 + - eTxzL*gtu31 + eTyzL*gtu32) + eTzzL*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); - - trKrhsL = PDupwindNth1(trK, i, j, k)*beta1L + PDupwindNth2(trK, i, - j, k)*beta2L + PDupwindNth3(trK, i, j, k)*beta3L - - em4phi*(gtu11*PDstandardNth11alpha + gtu22*PDstandardNth22alpha + - gtu33*(PDstandardNth33alpha + 2*cdphi3*PDstandardNth3alpha) + - 2*(gtu21*PDstandardNth12alpha + gtu31*(PDstandardNth13alpha + - cdphi1*PDstandardNth3alpha) + gtu32*(PDstandardNth23alpha + - cdphi2*PDstandardNth3alpha)) + PDstandardNth1alpha*(2*(cdphi1*gtu11 + - cdphi2*gtu21 + cdphi3*gtu31) - Xtn1) + - PDstandardNth2alpha*(2*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32) - - Xtn2) - PDstandardNth3alpha*Xtn3) + alphaL*(2*(Atm12*Atm21 + - Atm13*Atm31 + Atm23*Atm32) + - 12.56637061435917295385057353311801153679*(rho + trS) + SQR(Atm11) + - SQR(Atm22) + SQR(Atm33) + kthird*SQR(trKL)); - - 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 theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); - - 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 beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + - PDupwindNth2(beta1, i, j, k)*beta2L + PDupwindNth3(beta1, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff*theta; - - CCTK_REAL beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + - PDupwindNth2(beta2, i, j, k)*beta2L + PDupwindNth3(beta2, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff*theta; - - CCTK_REAL beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + - PDupwindNth2(beta3, i, j, k)*beta2L + PDupwindNth3(beta3, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff*theta; - - 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 */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - } - LC_ENDLOOP3 (ML_BSSN_RHS1); -} - -void ML_BSSN_RHS1(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_RHS1_Body); -} diff --git a/ML_BSSN/src/ML_BSSN_RHS1.cc b/ML_BSSN/src/ML_BSSN_RHS1.cc new file mode 100644 index 0000000..e46e44b --- /dev/null +++ b/ML_BSSN/src/ML_BSSN_RHS1.cc @@ -0,0 +1,1031 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_RHS1_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_RHS1_Body"); + } + + if (cctk_iteration % ML_BSSN_RHS1_calc_every != ML_BSSN_RHS1_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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; + 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_RHS1, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDdissipationNth1A = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2A = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3A = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1B1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2B1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3B1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1B2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2B2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3B2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1B3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2B3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3B3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23beta1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1beta1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2beta1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23beta2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1beta2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2beta2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23beta3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1beta3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2beta3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3phi = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1phi = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2phi = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC eTttL = (*stress_energy_state) ? vec_load(eTtt[index]) : 0.0; + CCTK_REAL_VEC eTtxL = (*stress_energy_state) ? vec_load(eTtx[index]) : 0.0; + CCTK_REAL_VEC eTtyL = (*stress_energy_state) ? vec_load(eTty[index]) : 0.0; + CCTK_REAL_VEC eTtzL = (*stress_energy_state) ? vec_load(eTtz[index]) : 0.0; + CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; + CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; + CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; + CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; + CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; + CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDdissipationNth1A = PDdissipationNth1(A, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2A = PDdissipationNth2(A, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3A = PDdissipationNth3(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1A = PDupwindNthAnti1(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1A = PDupwindNthSymm1(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2A = PDupwindNthAnti2(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2A = PDupwindNthSymm2(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3A = PDupwindNthAnti3(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3A = PDupwindNthSymm3(A, i, j, k); + CCTK_REAL_VEC const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1alpha = PDdissipationNth1(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2alpha = PDdissipationNth2(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3alpha = PDdissipationNth3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1B1 = PDdissipationNth1(B1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2B1 = PDdissipationNth2(B1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3B1 = PDdissipationNth3(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1B1 = PDupwindNthAnti1(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1B1 = PDupwindNthSymm1(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2B1 = PDupwindNthAnti2(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2B1 = PDupwindNthSymm2(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3B1 = PDupwindNthAnti3(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3B1 = PDupwindNthSymm3(B1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1B2 = PDdissipationNth1(B2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2B2 = PDdissipationNth2(B2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3B2 = PDdissipationNth3(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1B2 = PDupwindNthAnti1(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1B2 = PDupwindNthSymm1(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2B2 = PDupwindNthAnti2(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2B2 = PDupwindNthSymm2(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3B2 = PDupwindNthAnti3(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3B2 = PDupwindNthSymm3(B2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1B3 = PDdissipationNth1(B3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2B3 = PDdissipationNth2(B3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3B3 = PDdissipationNth3(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1B3 = PDupwindNthAnti1(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1B3 = PDupwindNthSymm1(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2B3 = PDupwindNthAnti2(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2B3 = PDupwindNthSymm2(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3B3 = PDupwindNthAnti3(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3B3 = PDupwindNthSymm3(B3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1beta1 = PDdissipationNth1(beta1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2beta1 = PDdissipationNth2(beta1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3beta1 = PDdissipationNth3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1beta2 = PDdissipationNth1(beta2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2beta2 = PDdissipationNth2(beta2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3beta2 = PDdissipationNth3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1beta3 = PDdissipationNth1(beta3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2beta3 = PDdissipationNth2(beta3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3beta3 = PDdissipationNth3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt11 = PDdissipationNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt11 = PDdissipationNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt11 = PDdissipationNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt11 = PDupwindNthAnti1(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt11 = PDupwindNthSymm1(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt11 = PDupwindNthAnti2(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt11 = PDupwindNthSymm2(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt11 = PDupwindNthAnti3(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt11 = PDupwindNthSymm3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt12 = PDdissipationNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt12 = PDdissipationNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt12 = PDdissipationNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt12 = PDupwindNthAnti1(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt12 = PDupwindNthSymm1(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt12 = PDupwindNthAnti2(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt12 = PDupwindNthSymm2(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt12 = PDupwindNthAnti3(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt12 = PDupwindNthSymm3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt13 = PDdissipationNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt13 = PDdissipationNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt13 = PDdissipationNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt13 = PDupwindNthAnti1(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt13 = PDupwindNthSymm1(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt13 = PDupwindNthAnti2(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt13 = PDupwindNthSymm2(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt13 = PDupwindNthAnti3(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt13 = PDupwindNthSymm3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt22 = PDdissipationNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt22 = PDdissipationNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt22 = PDdissipationNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt22 = PDupwindNthAnti1(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt22 = PDupwindNthSymm1(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt22 = PDupwindNthAnti2(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt22 = PDupwindNthSymm2(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt22 = PDupwindNthAnti3(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt22 = PDupwindNthSymm3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt23 = PDdissipationNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt23 = PDdissipationNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt23 = PDdissipationNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt23 = PDupwindNthAnti1(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt23 = PDupwindNthSymm1(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt23 = PDupwindNthAnti2(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt23 = PDupwindNthSymm2(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt23 = PDupwindNthAnti3(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt23 = PDupwindNthSymm3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt33 = PDdissipationNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt33 = PDdissipationNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt33 = PDdissipationNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt33 = PDupwindNthAnti1(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt33 = PDupwindNthSymm1(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt33 = PDupwindNthAnti2(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt33 = PDupwindNthSymm2(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt33 = PDupwindNthAnti3(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt33 = PDupwindNthSymm3(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1phi = PDdissipationNth1(phi, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2phi = PDdissipationNth2(phi, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3phi = PDdissipationNth3(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1phi = PDupwindNthAnti1(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1phi = PDupwindNthSymm1(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2phi = PDupwindNthAnti2(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2phi = PDupwindNthSymm2(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3phi = PDupwindNthAnti3(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3phi = PDupwindNthSymm3(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1trK = PDdissipationNth1(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2trK = PDdissipationNth2(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3trK = PDdissipationNth3(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1trK = PDupwindNthAnti1(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1trK = PDupwindNthSymm1(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2trK = PDupwindNthAnti2(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2trK = PDupwindNthSymm2(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3trK = PDupwindNthAnti3(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3trK = PDupwindNthSymm3(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1Xt1 = PDdissipationNth1(Xt1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2Xt1 = PDdissipationNth2(Xt1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3Xt1 = PDdissipationNth3(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1Xt1 = PDupwindNthAnti1(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1Xt1 = PDupwindNthSymm1(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2Xt1 = PDupwindNthAnti2(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2Xt1 = PDupwindNthSymm2(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3Xt1 = PDupwindNthAnti3(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3Xt1 = PDupwindNthSymm3(Xt1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1Xt2 = PDdissipationNth1(Xt2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2Xt2 = PDdissipationNth2(Xt2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3Xt2 = PDdissipationNth3(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1Xt2 = PDupwindNthAnti1(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1Xt2 = PDupwindNthSymm1(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2Xt2 = PDupwindNthAnti2(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2Xt2 = PDupwindNthSymm2(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3Xt2 = PDupwindNthAnti3(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3Xt2 = PDupwindNthSymm3(Xt2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1Xt3 = PDdissipationNth1(Xt3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2Xt3 = PDdissipationNth2(Xt3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3Xt3 = PDdissipationNth3(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1Xt3 = PDupwindNthAnti1(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1Xt3 = PDupwindNthSymm1(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2Xt3 = PDupwindNthAnti2(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2Xt3 = PDupwindNthSymm2(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3Xt3 = PDupwindNthAnti3(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3Xt3 = PDupwindNthSymm3(Xt3, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC epsdiss1 = EpsDiss; + + CCTK_REAL_VEC epsdiss2 = EpsDiss; + + CCTK_REAL_VEC epsdiss3 = EpsDiss; + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL_VEC Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL_VEC Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL_VEC Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL_VEC fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL_VEC cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL_VEC cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL_VEC cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL_VEC Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + + CCTK_REAL_VEC Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; + + CCTK_REAL_VEC Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + + CCTK_REAL_VEC Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; + + CCTK_REAL_VEC Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; + + CCTK_REAL_VEC Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; + + CCTK_REAL_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL_VEC em4phi = INV(e4phi); + + CCTK_REAL_VEC 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_VEC S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + + beta3L*eTxzL)*INV(alphaL); + + CCTK_REAL_VEC S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + + beta3L*eTyzL)*INV(alphaL); + + CCTK_REAL_VEC S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + + beta3L*eTzzL)*INV(alphaL); + + CCTK_REAL_VEC trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu21 + + eTxzL*gtu31 + eTyzL*gtu32) + eTzzL*gtu33); + + CCTK_REAL_VEC phirhsL = epsdiss1*PDdissipationNth1phi + + epsdiss2*PDdissipationNth2phi + epsdiss3*PDdissipationNth3phi + + beta1L*PDupwindNthAnti1phi + beta2L*PDupwindNthAnti2phi + + beta3L*PDupwindNthAnti3phi + PDupwindNthSymm1phi*Abs(beta1L) + + PDupwindNthSymm2phi*Abs(beta2L) + PDupwindNthSymm3phi*Abs(beta3L) + + (PDstandardNth1beta1 + PDstandardNth2beta2 + + PDstandardNth3beta3)*IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); + + CCTK_REAL_VEC gt11rhsL = -2*alphaL*At11L + + epsdiss1*PDdissipationNth1gt11 + epsdiss2*PDdissipationNth2gt11 + + epsdiss3*PDdissipationNth3gt11 + 2*(gt12L*PDstandardNth1beta2 + + gt13L*PDstandardNth1beta3) + gt11L*(kfourthird*PDstandardNth1beta1 - + ktwothird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3) + + beta1L*PDupwindNthAnti1gt11 + beta2L*PDupwindNthAnti2gt11 + + beta3L*PDupwindNthAnti3gt11 + PDupwindNthSymm1gt11*Abs(beta1L) + + PDupwindNthSymm2gt11*Abs(beta2L) + PDupwindNthSymm3gt11*Abs(beta3L); + + CCTK_REAL_VEC gt12rhsL = -2*alphaL*At12L + + epsdiss1*PDdissipationNth1gt12 + epsdiss2*PDdissipationNth2gt12 + + epsdiss3*PDdissipationNth3gt12 + gt22L*PDstandardNth1beta2 + + gt23L*PDstandardNth1beta3 + gt11L*PDstandardNth2beta1 + + gt13L*PDstandardNth2beta3 + gt12L*(kthird*(PDstandardNth1beta1 + + PDstandardNth2beta2) - ktwothird*PDstandardNth3beta3) + + beta1L*PDupwindNthAnti1gt12 + beta2L*PDupwindNthAnti2gt12 + + beta3L*PDupwindNthAnti3gt12 + PDupwindNthSymm1gt12*Abs(beta1L) + + PDupwindNthSymm2gt12*Abs(beta2L) + PDupwindNthSymm3gt12*Abs(beta3L); + + CCTK_REAL_VEC gt13rhsL = -2*alphaL*At13L + + epsdiss1*PDdissipationNth1gt13 + epsdiss2*PDdissipationNth2gt13 + + epsdiss3*PDdissipationNth3gt13 + gt23L*PDstandardNth1beta2 + + gt33L*PDstandardNth1beta3 + gt11L*PDstandardNth3beta1 + + gt12L*PDstandardNth3beta2 + gt13L*(-(ktwothird*PDstandardNth2beta2) + + kthird*(PDstandardNth1beta1 + PDstandardNth3beta3)) + + beta1L*PDupwindNthAnti1gt13 + beta2L*PDupwindNthAnti2gt13 + + beta3L*PDupwindNthAnti3gt13 + PDupwindNthSymm1gt13*Abs(beta1L) + + PDupwindNthSymm2gt13*Abs(beta2L) + PDupwindNthSymm3gt13*Abs(beta3L); + + CCTK_REAL_VEC gt22rhsL = -2*alphaL*At22L + + epsdiss1*PDdissipationNth1gt22 + epsdiss2*PDdissipationNth2gt22 + + epsdiss3*PDdissipationNth3gt22 + 2*(gt12L*PDstandardNth2beta1 + + gt23L*PDstandardNth2beta3) + gt22L*(-(ktwothird*PDstandardNth1beta1) + + kfourthird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3) + + beta1L*PDupwindNthAnti1gt22 + beta2L*PDupwindNthAnti2gt22 + + beta3L*PDupwindNthAnti3gt22 + PDupwindNthSymm1gt22*Abs(beta1L) + + PDupwindNthSymm2gt22*Abs(beta2L) + PDupwindNthSymm3gt22*Abs(beta3L); + + CCTK_REAL_VEC gt23rhsL = -2*alphaL*At23L + + epsdiss1*PDdissipationNth1gt23 + epsdiss2*PDdissipationNth2gt23 + + epsdiss3*PDdissipationNth3gt23 + gt13L*PDstandardNth2beta1 + + gt33L*PDstandardNth2beta3 + gt12L*PDstandardNth3beta1 + + gt22L*PDstandardNth3beta2 + gt23L*(-(ktwothird*PDstandardNth1beta1) + + kthird*(PDstandardNth2beta2 + PDstandardNth3beta3)) + + beta1L*PDupwindNthAnti1gt23 + beta2L*PDupwindNthAnti2gt23 + + beta3L*PDupwindNthAnti3gt23 + PDupwindNthSymm1gt23*Abs(beta1L) + + PDupwindNthSymm2gt23*Abs(beta2L) + PDupwindNthSymm3gt23*Abs(beta3L); + + CCTK_REAL_VEC gt33rhsL = -2*alphaL*At33L + + epsdiss1*PDdissipationNth1gt33 + epsdiss2*PDdissipationNth2gt33 + + epsdiss3*PDdissipationNth3gt33 - gt33L*ktwothird*PDstandardNth1beta1 - + gt33L*ktwothird*PDstandardNth2beta2 + 2*gt13L*PDstandardNth3beta1 + + 2*gt23L*PDstandardNth3beta2 + gt33L*kfourthird*PDstandardNth3beta3 + + beta1L*PDupwindNthAnti1gt33 + beta2L*PDupwindNthAnti2gt33 + + beta3L*PDupwindNthAnti3gt33 + PDupwindNthSymm1gt33*Abs(beta1L) + + PDupwindNthSymm2gt33*Abs(beta2L) + PDupwindNthSymm3gt33*Abs(beta3L); + + CCTK_REAL_VEC dotXt1 = kthird*(7*(gtu21*PDstandardNth12beta1 + + gtu31*PDstandardNth13beta1) + gtu11*(4*PDstandardNth11beta1 + + PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu21*(PDstandardNth22beta2 + PDstandardNth23beta3) + + 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) + + 3*(epsdiss1*PDdissipationNth1Xt1 + epsdiss2*PDdissipationNth2Xt1 + + epsdiss3*PDdissipationNth3Xt1 + gtu22*PDstandardNth22beta1 + + gtu33*PDstandardNth33beta1 + beta1L*PDupwindNthAnti1Xt1 + + beta2L*PDupwindNthAnti2Xt1 + beta3L*PDupwindNthAnti3Xt1 + + PDupwindNthSymm1Xt1*Abs(beta1L) + PDupwindNthSymm2Xt1*Abs(beta2L) + + PDupwindNthSymm3Xt1*Abs(beta3L))); + + CCTK_REAL_VEC dotXt2 = kthird*(gtu21*(PDstandardNth11beta1 + + 7*PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu22*(PDstandardNth12beta1 + 4*PDstandardNth22beta2 + + PDstandardNth23beta3) + 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) + + 3*(epsdiss1*PDdissipationNth1Xt2 + epsdiss2*PDdissipationNth2Xt2 + + epsdiss3*PDdissipationNth3Xt2 + gtu11*PDstandardNth11beta2 + + gtu33*PDstandardNth33beta2 + beta1L*PDupwindNthAnti1Xt2 + + beta2L*PDupwindNthAnti2Xt2 + beta3L*PDupwindNthAnti3Xt2 + + PDupwindNthSymm1Xt2*Abs(beta1L) + PDupwindNthSymm2Xt2*Abs(beta2L) + + PDupwindNthSymm3Xt2*Abs(beta3L))); + + CCTK_REAL_VEC dotXt3 = kthird*(gtu31*(PDstandardNth11beta1 + + PDstandardNth12beta2 + 7*PDstandardNth13beta3) + + 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) + + 3*(epsdiss1*PDdissipationNth1Xt3 + epsdiss2*PDdissipationNth2Xt3 + + epsdiss3*PDdissipationNth3Xt3 + gtu11*PDstandardNth11beta3 + + gtu22*PDstandardNth22beta3 + beta1L*PDupwindNthAnti1Xt3 + + beta2L*PDupwindNthAnti2Xt3 + beta3L*PDupwindNthAnti3Xt3 + + PDupwindNthSymm1Xt3*Abs(beta1L) + PDupwindNthSymm2Xt3*Abs(beta2L) + + PDupwindNthSymm3Xt3*Abs(beta3L))); + + CCTK_REAL_VEC Xt1rhsL = dotXt1; + + CCTK_REAL_VEC Xt2rhsL = dotXt2; + + CCTK_REAL_VEC Xt3rhsL = dotXt3; + + CCTK_REAL_VEC dottrK = epsdiss1*PDdissipationNth1trK + + epsdiss2*PDdissipationNth2trK + epsdiss3*PDdissipationNth3trK + + beta1L*PDupwindNthAnti1trK + beta2L*PDupwindNthAnti2trK + + beta3L*PDupwindNthAnti3trK - em4phi*(gtu11*PDstandardNth11alpha + + gtu22*PDstandardNth22alpha + gtu33*(PDstandardNth33alpha + + 2*cdphi3*PDstandardNth3alpha) + 2*(gtu21*PDstandardNth12alpha + + gtu31*(PDstandardNth13alpha + cdphi1*PDstandardNth3alpha) + + gtu32*(PDstandardNth23alpha + cdphi2*PDstandardNth3alpha)) + + PDstandardNth1alpha*(2*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31) - + Xtn1) + PDstandardNth2alpha*(2*(cdphi1*gtu21 + cdphi2*gtu22 + + cdphi3*gtu32) - Xtn2) - PDstandardNth3alpha*Xtn3) + + PDupwindNthSymm1trK*Abs(beta1L) + PDupwindNthSymm2trK*Abs(beta2L) + + PDupwindNthSymm3trK*Abs(beta3L) + alphaL*(2*(Atm12*Atm21 + Atm13*Atm31 + + Atm23*Atm32) + 12.56637061435917295385057353311801153679*(rho + trS) + + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) + kthird*SQR(trKL)); + + CCTK_REAL_VEC trKrhsL = dottrK; + + CCTK_REAL_VEC alpharhsL = epsdiss1*PDdissipationNth1alpha + + epsdiss2*PDdissipationNth2alpha + epsdiss3*PDdissipationNth3alpha + + LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1alpha + + beta2L*PDupwindNthAnti2alpha + beta3L*PDupwindNthAnti3alpha + + PDupwindNthSymm1alpha*Abs(beta1L) + PDupwindNthSymm2alpha*Abs(beta2L) + + PDupwindNthSymm3alpha*Abs(beta3L)) - harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN); + + CCTK_REAL_VEC ArhsL = (-(AL*AlphaDriver) + dottrK)*LapseACoeff + + epsdiss1*PDdissipationNth1A + epsdiss2*PDdissipationNth2A + + epsdiss3*PDdissipationNth3A + + LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1A + + beta2L*PDupwindNthAnti2A + beta3L*PDupwindNthAnti3A + + PDupwindNthSymm1A*Abs(beta1L) + PDupwindNthSymm2A*Abs(beta2L) + + PDupwindNthSymm3A*Abs(beta3L)); + + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); + + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); + + CCTK_REAL_VEC beta1rhsL = epsdiss1*PDdissipationNth1beta1 + + epsdiss2*PDdissipationNth2beta1 + epsdiss3*PDdissipationNth3beta1 + + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta1 + + beta2L*PDupwindNthAnti2beta1 + beta3L*PDupwindNthAnti3beta1 + + PDupwindNthSymm1beta1*Abs(beta1L) + PDupwindNthSymm2beta1*Abs(beta2L) + + PDupwindNthSymm3beta1*Abs(beta3L)); + + CCTK_REAL_VEC beta2rhsL = epsdiss1*PDdissipationNth1beta2 + + epsdiss2*PDdissipationNth2beta2 + epsdiss3*PDdissipationNth3beta2 + + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta2 + + beta2L*PDupwindNthAnti2beta2 + beta3L*PDupwindNthAnti3beta2 + + PDupwindNthSymm1beta2*Abs(beta1L) + PDupwindNthSymm2beta2*Abs(beta2L) + + PDupwindNthSymm3beta2*Abs(beta3L)); + + CCTK_REAL_VEC beta3rhsL = epsdiss1*PDdissipationNth1beta3 + + epsdiss2*PDdissipationNth2beta3 + epsdiss3*PDdissipationNth3beta3 + + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta3 + + beta2L*PDupwindNthAnti2beta3 + beta3L*PDupwindNthAnti3beta3 + + PDupwindNthSymm1beta3*Abs(beta1L) + PDupwindNthSymm2beta3*Abs(beta2L) + + PDupwindNthSymm3beta3*Abs(beta3L)); + + CCTK_REAL_VEC B1rhsL = epsdiss1*PDdissipationNth1B1 + + epsdiss2*PDdissipationNth2B1 + epsdiss3*PDdissipationNth3B1 + (dotXt1 - + B1L*BetaDriver*eta)*ShiftBCoeff + + ShiftAdvectionCoeff*(beta1L*(PDupwindNthAnti1B1 - PDupwindNthAnti1Xt1) + + beta2L*(PDupwindNthAnti2B1 - PDupwindNthAnti2Xt1) + + beta3L*(PDupwindNthAnti3B1 - PDupwindNthAnti3Xt1) + (PDupwindNthSymm1B1 + - PDupwindNthSymm1Xt1)*Abs(beta1L) + (PDupwindNthSymm2B1 - + PDupwindNthSymm2Xt1)*Abs(beta2L) + (PDupwindNthSymm3B1 - + PDupwindNthSymm3Xt1)*Abs(beta3L)); + + CCTK_REAL_VEC B2rhsL = epsdiss1*PDdissipationNth1B2 + + epsdiss2*PDdissipationNth2B2 + epsdiss3*PDdissipationNth3B2 + (dotXt2 - + B2L*BetaDriver*eta)*ShiftBCoeff + + ShiftAdvectionCoeff*(beta1L*(PDupwindNthAnti1B2 - PDupwindNthAnti1Xt2) + + beta2L*(PDupwindNthAnti2B2 - PDupwindNthAnti2Xt2) + + beta3L*(PDupwindNthAnti3B2 - PDupwindNthAnti3Xt2) + (PDupwindNthSymm1B2 + - PDupwindNthSymm1Xt2)*Abs(beta1L) + (PDupwindNthSymm2B2 - + PDupwindNthSymm2Xt2)*Abs(beta2L) + (PDupwindNthSymm3B2 - + PDupwindNthSymm3Xt2)*Abs(beta3L)); + + CCTK_REAL_VEC B3rhsL = epsdiss1*PDdissipationNth1B3 + + epsdiss2*PDdissipationNth2B3 + epsdiss3*PDdissipationNth3B3 + (dotXt3 - + B3L*BetaDriver*eta)*ShiftBCoeff + + ShiftAdvectionCoeff*(beta1L*(PDupwindNthAnti1B3 - PDupwindNthAnti1Xt3) + + beta2L*(PDupwindNthAnti2B3 - PDupwindNthAnti2Xt3) + + beta3L*(PDupwindNthAnti3B3 - PDupwindNthAnti3Xt3) + (PDupwindNthSymm1B3 + - PDupwindNthSymm1Xt3)*Abs(beta1L) + (PDupwindNthSymm2B3 - + PDupwindNthSymm2Xt3)*Abs(beta2L) + (PDupwindNthSymm3B3 - + PDupwindNthSymm3Xt3)*Abs(beta3L)); + + + /* Copy local copies back to grid functions */ + vec_store_nta(alpharhs[index],alpharhsL); + vec_store_nta(Arhs[index],ArhsL); + vec_store_nta(B1rhs[index],B1rhsL); + vec_store_nta(B2rhs[index],B2rhsL); + vec_store_nta(B3rhs[index],B3rhsL); + vec_store_nta(beta1rhs[index],beta1rhsL); + vec_store_nta(beta2rhs[index],beta2rhsL); + vec_store_nta(beta3rhs[index],beta3rhsL); + vec_store_nta(gt11rhs[index],gt11rhsL); + vec_store_nta(gt12rhs[index],gt12rhsL); + vec_store_nta(gt13rhs[index],gt13rhsL); + vec_store_nta(gt22rhs[index],gt22rhsL); + vec_store_nta(gt23rhs[index],gt23rhsL); + vec_store_nta(gt33rhs[index],gt33rhsL); + vec_store_nta(phirhs[index],phirhsL); + vec_store_nta(trKrhs[index],trKrhsL); + vec_store_nta(Xt1rhs[index],Xt1rhsL); + vec_store_nta(Xt2rhs[index],Xt2rhsL); + vec_store_nta(Xt3rhs[index],Xt3rhsL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_RHS1); +} + +extern "C" void ML_BSSN_RHS1(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_RHS1_Body); +} diff --git a/ML_BSSN/src/ML_BSSN_RHS2.c b/ML_BSSN/src/ML_BSSN_RHS2.c deleted file mode 100644 index 7972cc7..0000000 --- a/ML_BSSN/src/ML_BSSN_RHS2.c +++ /dev/null @@ -1,781 +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_RHS2_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_RHS2_Body"); - } - - if (cctk_iteration % ML_BSSN_RHS2_calc_every != ML_BSSN_RHS2_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_RHS2, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1alpha = INITVALUE; - // CCTK_REAL PDstandardNth2alpha = INITVALUE; - // CCTK_REAL PDstandardNth3alpha = INITVALUE; - // CCTK_REAL PDstandardNth11alpha = INITVALUE; - // CCTK_REAL PDstandardNth22alpha = INITVALUE; - // CCTK_REAL PDstandardNth33alpha = INITVALUE; - // CCTK_REAL PDstandardNth12alpha = INITVALUE; - // CCTK_REAL PDstandardNth13alpha = INITVALUE; - // CCTK_REAL PDstandardNth23alpha = INITVALUE; - // CCTK_REAL PDstandardNth1beta1 = INITVALUE; - // CCTK_REAL PDstandardNth2beta1 = INITVALUE; - // CCTK_REAL PDstandardNth3beta1 = INITVALUE; - // CCTK_REAL PDstandardNth1beta2 = INITVALUE; - // CCTK_REAL PDstandardNth2beta2 = INITVALUE; - // CCTK_REAL PDstandardNth3beta2 = INITVALUE; - // CCTK_REAL PDstandardNth1beta3 = INITVALUE; - // CCTK_REAL PDstandardNth2beta3 = INITVALUE; - // CCTK_REAL PDstandardNth3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth11phi = INITVALUE; - // CCTK_REAL PDstandardNth22phi = INITVALUE; - // CCTK_REAL PDstandardNth33phi = INITVALUE; - // CCTK_REAL PDstandardNth12phi = INITVALUE; - // CCTK_REAL PDstandardNth13phi = INITVALUE; - // CCTK_REAL PDstandardNth23phi = INITVALUE; - // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; - - /* Assign local copies of 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 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 */ - 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); - CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - 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); - CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - 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 Gtl111 = khalf*PDstandardNth1gt11; - - CCTK_REAL Gtl112 = khalf*PDstandardNth2gt11; - - CCTK_REAL Gtl113 = khalf*PDstandardNth3gt11; - - CCTK_REAL Gtl122 = -(khalf*PDstandardNth1gt22) + PDstandardNth2gt12; - - CCTK_REAL Gtl123 = khalf*(-PDstandardNth1gt23 + PDstandardNth2gt13 + - PDstandardNth3gt12); - - CCTK_REAL Gtl133 = -(khalf*PDstandardNth1gt33) + PDstandardNth3gt13; - - CCTK_REAL Gtl211 = PDstandardNth1gt12 - khalf*PDstandardNth2gt11; - - CCTK_REAL Gtl212 = khalf*PDstandardNth1gt22; - - CCTK_REAL Gtl213 = khalf*(PDstandardNth1gt23 - PDstandardNth2gt13 + - PDstandardNth3gt12); - - CCTK_REAL Gtl222 = khalf*PDstandardNth2gt22; - - CCTK_REAL Gtl223 = khalf*PDstandardNth3gt22; - - CCTK_REAL Gtl233 = -(khalf*PDstandardNth2gt33) + PDstandardNth3gt23; - - CCTK_REAL Gtl311 = PDstandardNth1gt13 - khalf*PDstandardNth3gt11; - - CCTK_REAL Gtl312 = khalf*(PDstandardNth1gt23 + PDstandardNth2gt13 - - PDstandardNth3gt12); - - CCTK_REAL Gtl313 = khalf*PDstandardNth1gt33; - - CCTK_REAL Gtl322 = PDstandardNth2gt23 - khalf*PDstandardNth3gt22; - - CCTK_REAL Gtl323 = khalf*PDstandardNth2gt33; - - CCTK_REAL Gtl333 = khalf*PDstandardNth3gt33; - - CCTK_REAL Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; - - CCTK_REAL Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; - - CCTK_REAL Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; - - CCTK_REAL Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; - - CCTK_REAL Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; - - CCTK_REAL Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; - - CCTK_REAL Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; - - CCTK_REAL Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; - - CCTK_REAL Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; - - CCTK_REAL Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; - - CCTK_REAL Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; - - CCTK_REAL Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; - - CCTK_REAL Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; - - CCTK_REAL Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; - - CCTK_REAL Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; - - CCTK_REAL Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; - - CCTK_REAL Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; - - CCTK_REAL Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; - - CCTK_REAL Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; - - CCTK_REAL Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; - - CCTK_REAL Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; - - CCTK_REAL Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; - - CCTK_REAL Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; - - CCTK_REAL Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; - - CCTK_REAL Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; - - CCTK_REAL Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; - - CCTK_REAL Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; - - CCTK_REAL Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; - - CCTK_REAL Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; - - CCTK_REAL Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; - - CCTK_REAL Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; - - CCTK_REAL Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; - - CCTK_REAL Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; - - CCTK_REAL Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; - - CCTK_REAL Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; - - CCTK_REAL Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; - - CCTK_REAL Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; - - CCTK_REAL Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; - - CCTK_REAL Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; - - CCTK_REAL Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; - - CCTK_REAL Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; - - CCTK_REAL Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; - - CCTK_REAL Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; - - CCTK_REAL Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; - - CCTK_REAL Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; - - 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 = 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 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 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 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 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 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 Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - CCTK_REAL em4phi = INV(e4phi); - - CCTK_REAL g11 = e4phi*gt11L; - - CCTK_REAL g12 = e4phi*gt12L; - - CCTK_REAL g13 = e4phi*gt13L; - - CCTK_REAL g22 = e4phi*gt22L; - - CCTK_REAL g23 = e4phi*gt23L; - - CCTK_REAL g33 = e4phi*gt33L; - - 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 R23 = Rphi23 + Rt23; - - CCTK_REAL R33 = Rphi33 + Rt33; - - CCTK_REAL trS = eTxxL*gu11 + eTyyL*gu22 + 2*(eTxyL*gu21 + eTxzL*gu31 + - eTyzL*gu32) + eTzzL*gu33; - - CCTK_REAL Ats11 = -PDstandardNth11alpha + (4*cdphi1 + - Gt111)*PDstandardNth1alpha + Gt211*PDstandardNth2alpha + - Gt311*PDstandardNth3alpha + alphaL*R11; - - CCTK_REAL Ats12 = -PDstandardNth12alpha + (2*cdphi2 + - Gt112)*PDstandardNth1alpha + (2*cdphi1 + Gt212)*PDstandardNth2alpha + - Gt312*PDstandardNth3alpha + alphaL*R12; - - CCTK_REAL Ats13 = -PDstandardNth13alpha + (2*cdphi3 + - Gt113)*PDstandardNth1alpha + Gt213*PDstandardNth2alpha + (2*cdphi1 + - Gt313)*PDstandardNth3alpha + alphaL*R13; - - CCTK_REAL Ats22 = Gt122*PDstandardNth1alpha - PDstandardNth22alpha + - (4*cdphi2 + Gt222)*PDstandardNth2alpha + Gt322*PDstandardNth3alpha + - alphaL*R22; - - CCTK_REAL Ats23 = Gt123*PDstandardNth1alpha - PDstandardNth23alpha + - (2*cdphi3 + Gt223)*PDstandardNth2alpha + (2*cdphi2 + - Gt323)*PDstandardNth3alpha + alphaL*R23; - - CCTK_REAL Ats33 = Gt133*PDstandardNth1alpha + - Gt233*PDstandardNth2alpha - PDstandardNth33alpha + (4*cdphi3 + - Gt333)*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)); - - - /* Copy local copies back to grid functions */ - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - } - LC_ENDLOOP3 (ML_BSSN_RHS2); -} - -void ML_BSSN_RHS2(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_RHS2_Body); -} diff --git a/ML_BSSN/src/ML_BSSN_RHS2.cc b/ML_BSSN/src/ML_BSSN_RHS2.cc new file mode 100644 index 0000000..0cc3631 --- /dev/null +++ b/ML_BSSN/src/ML_BSSN_RHS2.cc @@ -0,0 +1,1176 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_RHS2_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_RHS2_Body"); + } + + if (cctk_iteration % ML_BSSN_RHS2_calc_every != ML_BSSN_RHS2_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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; + 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_RHS2, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDstandardNth1alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; + CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; + CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; + CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; + CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; + CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At11 = PDdissipationNth1(At11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At11 = PDdissipationNth2(At11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At11 = PDdissipationNth3(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At11 = PDupwindNthAnti1(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At11 = PDupwindNthSymm1(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At11 = PDupwindNthAnti2(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At11 = PDupwindNthSymm2(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At11 = PDupwindNthAnti3(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At11 = PDupwindNthSymm3(At11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At12 = PDdissipationNth1(At12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At12 = PDdissipationNth2(At12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At12 = PDdissipationNth3(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At12 = PDupwindNthAnti1(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At12 = PDupwindNthSymm1(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At12 = PDupwindNthAnti2(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At12 = PDupwindNthSymm2(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At12 = PDupwindNthAnti3(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At12 = PDupwindNthSymm3(At12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At13 = PDdissipationNth1(At13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At13 = PDdissipationNth2(At13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At13 = PDdissipationNth3(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At13 = PDupwindNthAnti1(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At13 = PDupwindNthSymm1(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At13 = PDupwindNthAnti2(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At13 = PDupwindNthSymm2(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At13 = PDupwindNthAnti3(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At13 = PDupwindNthSymm3(At13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At22 = PDdissipationNth1(At22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At22 = PDdissipationNth2(At22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At22 = PDdissipationNth3(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At22 = PDupwindNthAnti1(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At22 = PDupwindNthSymm1(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At22 = PDupwindNthAnti2(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At22 = PDupwindNthSymm2(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At22 = PDupwindNthAnti3(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At22 = PDupwindNthSymm3(At22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At23 = PDdissipationNth1(At23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At23 = PDdissipationNth2(At23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At23 = PDdissipationNth3(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At23 = PDupwindNthAnti1(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At23 = PDupwindNthSymm1(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At23 = PDupwindNthAnti2(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At23 = PDupwindNthSymm2(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At23 = PDupwindNthAnti3(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At23 = PDupwindNthSymm3(At23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At33 = PDdissipationNth1(At33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At33 = PDdissipationNth2(At33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At33 = PDdissipationNth3(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At33 = PDupwindNthAnti1(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At33 = PDupwindNthSymm1(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At33 = PDupwindNthAnti2(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At33 = PDupwindNthSymm2(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At33 = PDupwindNthAnti3(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At33 = PDupwindNthSymm3(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC epsdiss1 = EpsDiss; + + CCTK_REAL_VEC epsdiss2 = EpsDiss; + + CCTK_REAL_VEC epsdiss3 = EpsDiss; + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL_VEC Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL_VEC Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL_VEC Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL_VEC cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL_VEC cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL_VEC cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL_VEC fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + + CCTK_REAL_VEC cdphi211 = -(fac1*(-PDstandardNth11phi + + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); + + CCTK_REAL_VEC cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - + fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - + fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - + PDstandardNth22phi + Gt222*PDstandardNth2phi + + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); + + CCTK_REAL_VEC cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - + fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + + Gt233*PDstandardNth2phi - PDstandardNth33phi + + Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); + + CCTK_REAL_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL_VEC em4phi = INV(e4phi); + + CCTK_REAL_VEC g11 = e4phi*gt11L; + + CCTK_REAL_VEC g12 = e4phi*gt12L; + + CCTK_REAL_VEC g13 = e4phi*gt13L; + + CCTK_REAL_VEC g22 = e4phi*gt22L; + + CCTK_REAL_VEC g23 = e4phi*gt23L; + + CCTK_REAL_VEC g33 = e4phi*gt33L; + + CCTK_REAL_VEC gu11 = em4phi*gtu11; + + CCTK_REAL_VEC gu21 = em4phi*gtu21; + + CCTK_REAL_VEC gu31 = em4phi*gtu31; + + CCTK_REAL_VEC gu22 = em4phi*gtu22; + + CCTK_REAL_VEC gu32 = em4phi*gtu32; + + CCTK_REAL_VEC gu33 = em4phi*gtu33; + + CCTK_REAL_VEC R11 = Rphi11 + Rt11; + + CCTK_REAL_VEC R12 = Rphi12 + Rt12; + + CCTK_REAL_VEC R13 = Rphi13 + Rt13; + + CCTK_REAL_VEC R22 = Rphi22 + Rt22; + + CCTK_REAL_VEC R23 = Rphi23 + Rt23; + + CCTK_REAL_VEC R33 = Rphi33 + Rt33; + + CCTK_REAL_VEC trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu21 + + eTxzL*gtu31 + eTyzL*gtu32) + eTzzL*gtu33); + + CCTK_REAL_VEC Ats11 = -PDstandardNth11alpha + (4*cdphi1 + + Gt111)*PDstandardNth1alpha + Gt211*PDstandardNth2alpha + + Gt311*PDstandardNth3alpha + alphaL*R11; + + CCTK_REAL_VEC Ats12 = -PDstandardNth12alpha + (2*cdphi2 + + Gt112)*PDstandardNth1alpha + (2*cdphi1 + Gt212)*PDstandardNth2alpha + + Gt312*PDstandardNth3alpha + alphaL*R12; + + CCTK_REAL_VEC Ats13 = -PDstandardNth13alpha + (2*cdphi3 + + Gt113)*PDstandardNth1alpha + Gt213*PDstandardNth2alpha + (2*cdphi1 + + Gt313)*PDstandardNth3alpha + alphaL*R13; + + CCTK_REAL_VEC Ats22 = Gt122*PDstandardNth1alpha - PDstandardNth22alpha + + (4*cdphi2 + Gt222)*PDstandardNth2alpha + Gt322*PDstandardNth3alpha + + alphaL*R22; + + CCTK_REAL_VEC Ats23 = Gt123*PDstandardNth1alpha - PDstandardNth23alpha + + (2*cdphi3 + Gt223)*PDstandardNth2alpha + (2*cdphi2 + + Gt323)*PDstandardNth3alpha + alphaL*R23; + + CCTK_REAL_VEC Ats33 = Gt133*PDstandardNth1alpha + + Gt233*PDstandardNth2alpha - PDstandardNth33alpha + (4*cdphi3 + + Gt333)*PDstandardNth3alpha + alphaL*R33; + + CCTK_REAL_VEC trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; + + CCTK_REAL_VEC At11rhsL = -2.*alphaL*(At11L*Atm11 + At12L*Atm21 + + At13L*Atm31) + epsdiss1*PDdissipationNth1At11 + + epsdiss2*PDdissipationNth2At11 + epsdiss3*PDdissipationNth3At11 + + 2.*(At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + + beta1L*PDupwindNthAnti1At11 + beta2L*PDupwindNthAnti2At11 + + beta3L*PDupwindNthAnti3At11 + + At11L*(1.333333333333333333333333333333333333333*PDstandardNth1beta1 - + 0.6666666666666666666666666666666666666667*(PDstandardNth2beta2 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats11 - + 0.3333333333333333333333333333333333333333*g11*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxxL + + 8.377580409572781969233715688745341024526*g11*trS)) + + PDupwindNthSymm1At11*Abs(beta1L) + PDupwindNthSymm2At11*Abs(beta2L) + + PDupwindNthSymm3At11*Abs(beta3L); + + CCTK_REAL_VEC At12rhsL = -2.*alphaL*(At11L*Atm12 + At12L*Atm22 + + At13L*Atm32) + epsdiss1*PDdissipationNth1At12 + + epsdiss2*PDdissipationNth2At12 + epsdiss3*PDdissipationNth3At12 + + At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3 + + At11L*PDstandardNth2beta1 + At13L*PDstandardNth2beta3 + + beta1L*PDupwindNthAnti1At12 + beta2L*PDupwindNthAnti2At12 + + beta3L*PDupwindNthAnti3At12 + + At12L*(0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + + PDstandardNth2beta2) - + 0.6666666666666666666666666666666666666667*PDstandardNth3beta3 + + alphaL*trKL) + em4phi*(Ats12 - + 0.3333333333333333333333333333333333333333*g12*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxyL + + 8.377580409572781969233715688745341024526*g12*trS)) + + PDupwindNthSymm1At12*Abs(beta1L) + PDupwindNthSymm2At12*Abs(beta2L) + + PDupwindNthSymm3At12*Abs(beta3L); + + CCTK_REAL_VEC At13rhsL = -2.*alphaL*(At11L*Atm13 + At12L*Atm23 + + At13L*Atm33) + epsdiss1*PDdissipationNth1At13 + + epsdiss2*PDdissipationNth2At13 + epsdiss3*PDdissipationNth3At13 + + At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3 + + At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + + beta1L*PDupwindNthAnti1At13 + beta2L*PDupwindNthAnti2At13 + + beta3L*PDupwindNthAnti3At13 + + At13L*(-0.6666666666666666666666666666666666666667*PDstandardNth2beta2 + + 0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats13 - + 0.3333333333333333333333333333333333333333*g13*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxzL + + 8.377580409572781969233715688745341024526*g13*trS)) + + PDupwindNthSymm1At13*Abs(beta1L) + PDupwindNthSymm2At13*Abs(beta2L) + + PDupwindNthSymm3At13*Abs(beta3L); + + CCTK_REAL_VEC At22rhsL = -2.*alphaL*(At12L*Atm12 + At22L*Atm22 + + At23L*Atm32) + epsdiss1*PDdissipationNth1At22 + + epsdiss2*PDdissipationNth2At22 + epsdiss3*PDdissipationNth3At22 + + 2.*(At12L*PDstandardNth2beta1 + At23L*PDstandardNth2beta3) + + beta1L*PDupwindNthAnti1At22 + beta2L*PDupwindNthAnti2At22 + + beta3L*PDupwindNthAnti3At22 + + At22L*(1.333333333333333333333333333333333333333*PDstandardNth2beta2 - + 0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats22 - + 0.3333333333333333333333333333333333333333*g22*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTyyL + + 8.377580409572781969233715688745341024526*g22*trS)) + + PDupwindNthSymm1At22*Abs(beta1L) + PDupwindNthSymm2At22*Abs(beta2L) + + PDupwindNthSymm3At22*Abs(beta3L); + + CCTK_REAL_VEC At23rhsL = -2.*alphaL*(At12L*Atm13 + At22L*Atm23 + + At23L*Atm33) + epsdiss1*PDdissipationNth1At23 + + epsdiss2*PDdissipationNth2At23 + epsdiss3*PDdissipationNth3At23 + + At13L*PDstandardNth2beta1 + At33L*PDstandardNth2beta3 + + At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + + beta1L*PDupwindNthAnti1At23 + beta2L*PDupwindNthAnti2At23 + + beta3L*PDupwindNthAnti3At23 + + At23L*(-0.6666666666666666666666666666666666666667*PDstandardNth1beta1 + + 0.3333333333333333333333333333333333333333*(PDstandardNth2beta2 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats23 - + 0.3333333333333333333333333333333333333333*g23*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTyzL + + 8.377580409572781969233715688745341024526*g23*trS)) + + PDupwindNthSymm1At23*Abs(beta1L) + PDupwindNthSymm2At23*Abs(beta2L) + + PDupwindNthSymm3At23*Abs(beta3L); + + CCTK_REAL_VEC At33rhsL = -2.*alphaL*(At13L*Atm13 + At23L*Atm23 + + At33L*Atm33) + epsdiss1*PDdissipationNth1At33 + + epsdiss2*PDdissipationNth2At33 + epsdiss3*PDdissipationNth3At33 + + 2.*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2) + + beta1L*PDupwindNthAnti1At33 + beta2L*PDupwindNthAnti2At33 + + beta3L*PDupwindNthAnti3At33 + + At33L*(-0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + + PDstandardNth2beta2) + + 1.333333333333333333333333333333333333333*PDstandardNth3beta3 + + alphaL*trKL) + em4phi*(Ats33 - + 0.3333333333333333333333333333333333333333*g33*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTzzL + + 8.377580409572781969233715688745341024526*g33*trS)) + + PDupwindNthSymm1At33*Abs(beta1L) + PDupwindNthSymm2At33*Abs(beta2L) + + PDupwindNthSymm3At33*Abs(beta3L); + + + /* Copy local copies back to grid functions */ + vec_store_nta(At11rhs[index],At11rhsL); + vec_store_nta(At12rhs[index],At12rhsL); + vec_store_nta(At13rhs[index],At13rhsL); + vec_store_nta(At22rhs[index],At22rhsL); + vec_store_nta(At23rhs[index],At23rhsL); + vec_store_nta(At33rhs[index],At33rhsL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_RHS2); +} + +extern "C" void ML_BSSN_RHS2(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_RHS2_Body); +} diff --git a/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.c b/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.c deleted file mode 100644 index 4f2563f..0000000 --- a/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.c +++ /dev/null @@ -1,289 +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_RHSRadiativeBoundary_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_RHSRadiativeBoundary_Body"); - } - - if (cctk_iteration % ML_BSSN_RHSRadiativeBoundary_calc_every != ML_BSSN_RHSRadiativeBoundary_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_RHSRadiativeBoundary, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of 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 */ - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(normal[0]); - - int dir2 = Sign(normal[1]); - - int dir3 = Sign(normal[2]); - - CCTK_REAL detgt = 1; - - 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 em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - - 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 nn1 = normal[0]; - - CCTK_REAL nn2 = normal[1]; - - CCTK_REAL nn3 = normal[2]; - - CCTK_REAL nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; - - CCTK_REAL nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; - - CCTK_REAL nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; - - CCTK_REAL nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; - - CCTK_REAL nlen = pow(nlen2,0.5); - - CCTK_REAL su1 = nu1*INV(nlen); - - CCTK_REAL su2 = nu2*INV(nlen); - - CCTK_REAL su3 = nu3*INV(nlen); - - CCTK_REAL vg = pow(harmonicF,0.5); - - CCTK_REAL phirhsL = -((PDonesided1(phi, i, j, k)*su1 + - PDonesided2(phi, i, j, k)*su2 + PDonesided3(phi, i, j, k)*su3)*vg); - - CCTK_REAL gt11rhsL = -(PDonesided1(gt11, i, j, k)*su1) - - PDonesided2(gt11, i, j, k)*su2 - PDonesided3(gt11, 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 gt13rhsL = -(PDonesided1(gt13, i, j, k)*su1) - - PDonesided2(gt13, i, j, k)*su2 - PDonesided3(gt13, 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 gt23rhsL = -(PDonesided1(gt23, i, j, k)*su1) - - PDonesided2(gt23, i, j, k)*su2 - PDonesided3(gt23, 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 trKrhsL = -((PDonesided1(trK, i, j, k)*su1 + - PDonesided2(trK, i, j, k)*su2 + PDonesided3(trK, i, j, k)*su3)*vg); - - CCTK_REAL At11rhsL = -(PDonesided1(At11, i, j, k)*su1) - - PDonesided2(At11, i, j, k)*su2 - PDonesided3(At11, 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 At13rhsL = -(PDonesided1(At13, i, j, k)*su1) - - PDonesided2(At13, i, j, k)*su2 - PDonesided3(At13, 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 At23rhsL = -(PDonesided1(At23, i, j, k)*su1) - - PDonesided2(At23, i, j, k)*su2 - PDonesided3(At23, 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 Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*su1) - - PDonesided2(Xt1, i, j, k)*su2 - PDonesided3(Xt1, 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 Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*su1) - - PDonesided2(Xt3, i, j, k)*su2 - PDonesided3(Xt3, i, j, k)*su3; - - CCTK_REAL alpharhsL = -((PDonesided1(alpha, i, j, k)*su1 + - PDonesided2(alpha, i, j, k)*su2 + PDonesided3(alpha, 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 beta1rhsL = -(PDonesided1(beta1, i, j, k)*su1) - - PDonesided2(beta1, i, j, k)*su2 - PDonesided3(beta1, 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 beta3rhsL = -(PDonesided1(beta3, i, j, k)*su1) - - PDonesided2(beta3, i, j, k)*su2 - PDonesided3(beta3, 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 B2rhsL = -(PDonesided1(B2, i, j, k)*su1) - - PDonesided2(B2, i, j, k)*su2 - PDonesided3(B2, 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 */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - } - LC_ENDLOOP3 (ML_BSSN_RHSRadiativeBoundary); -} - -void ML_BSSN_RHSRadiativeBoundary(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverBoundary(cctkGH, &ML_BSSN_RHSRadiativeBoundary_Body); -} diff --git a/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.cc b/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.cc new file mode 100644 index 0000000..c601db7 --- /dev/null +++ b/ML_BSSN/src/ML_BSSN_RHSRadiativeBoundary.cc @@ -0,0 +1,297 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_RHSRadiativeBoundary_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_RHSRadiativeBoundary_Body"); + } + + if (cctk_iteration % ML_BSSN_RHSRadiativeBoundary_calc_every != ML_BSSN_RHSRadiativeBoundary_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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; + 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_RHSRadiativeBoundary, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(normal[0]); + + int dir2 = Sign(normal[1]); + + int dir3 = Sign(normal[2]); + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + + CCTK_REAL_VEC gu11 = em4phi*gtu11; + + CCTK_REAL_VEC gu21 = em4phi*gtu21; + + CCTK_REAL_VEC gu31 = em4phi*gtu31; + + CCTK_REAL_VEC gu22 = em4phi*gtu22; + + CCTK_REAL_VEC gu32 = em4phi*gtu32; + + CCTK_REAL_VEC gu33 = em4phi*gtu33; + + CCTK_REAL_VEC nn1 = normal[0]; + + CCTK_REAL_VEC nn2 = normal[1]; + + CCTK_REAL_VEC nn3 = normal[2]; + + CCTK_REAL_VEC nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; + + CCTK_REAL_VEC nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; + + CCTK_REAL_VEC nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; + + CCTK_REAL_VEC nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; + + CCTK_REAL_VEC nlen = pow(nlen2,0.5); + + CCTK_REAL_VEC su1 = nu1*INV(nlen); + + CCTK_REAL_VEC su2 = nu2*INV(nlen); + + CCTK_REAL_VEC su3 = nu3*INV(nlen); + + CCTK_REAL_VEC vg = pow(harmonicF,0.5); + + CCTK_REAL_VEC phirhsL = -((PDonesided1(phi, i, j, k)*su1 + + PDonesided2(phi, i, j, k)*su2 + PDonesided3(phi, i, j, k)*su3)*vg); + + CCTK_REAL_VEC gt11rhsL = -(PDonesided1(gt11, i, j, k)*su1) - + PDonesided2(gt11, i, j, k)*su2 - PDonesided3(gt11, i, j, k)*su3; + + CCTK_REAL_VEC gt12rhsL = -(PDonesided1(gt12, i, j, k)*su1) - + PDonesided2(gt12, i, j, k)*su2 - PDonesided3(gt12, i, j, k)*su3; + + CCTK_REAL_VEC gt13rhsL = -(PDonesided1(gt13, i, j, k)*su1) - + PDonesided2(gt13, i, j, k)*su2 - PDonesided3(gt13, i, j, k)*su3; + + CCTK_REAL_VEC gt22rhsL = -(PDonesided1(gt22, i, j, k)*su1) - + PDonesided2(gt22, i, j, k)*su2 - PDonesided3(gt22, i, j, k)*su3; + + CCTK_REAL_VEC gt23rhsL = -(PDonesided1(gt23, i, j, k)*su1) - + PDonesided2(gt23, i, j, k)*su2 - PDonesided3(gt23, i, j, k)*su3; + + CCTK_REAL_VEC gt33rhsL = -(PDonesided1(gt33, i, j, k)*su1) - + PDonesided2(gt33, i, j, k)*su2 - PDonesided3(gt33, i, j, k)*su3; + + CCTK_REAL_VEC trKrhsL = -((PDonesided1(trK, i, j, k)*su1 + + PDonesided2(trK, i, j, k)*su2 + PDonesided3(trK, i, j, k)*su3)*vg); + + CCTK_REAL_VEC At11rhsL = -(PDonesided1(At11, i, j, k)*su1) - + PDonesided2(At11, i, j, k)*su2 - PDonesided3(At11, i, j, k)*su3; + + CCTK_REAL_VEC At12rhsL = -(PDonesided1(At12, i, j, k)*su1) - + PDonesided2(At12, i, j, k)*su2 - PDonesided3(At12, i, j, k)*su3; + + CCTK_REAL_VEC At13rhsL = -(PDonesided1(At13, i, j, k)*su1) - + PDonesided2(At13, i, j, k)*su2 - PDonesided3(At13, i, j, k)*su3; + + CCTK_REAL_VEC At22rhsL = -(PDonesided1(At22, i, j, k)*su1) - + PDonesided2(At22, i, j, k)*su2 - PDonesided3(At22, i, j, k)*su3; + + CCTK_REAL_VEC At23rhsL = -(PDonesided1(At23, i, j, k)*su1) - + PDonesided2(At23, i, j, k)*su2 - PDonesided3(At23, i, j, k)*su3; + + CCTK_REAL_VEC At33rhsL = -(PDonesided1(At33, i, j, k)*su1) - + PDonesided2(At33, i, j, k)*su2 - PDonesided3(At33, i, j, k)*su3; + + CCTK_REAL_VEC Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*su1) - + PDonesided2(Xt1, i, j, k)*su2 - PDonesided3(Xt1, i, j, k)*su3; + + CCTK_REAL_VEC Xt2rhsL = -(PDonesided1(Xt2, i, j, k)*su1) - + PDonesided2(Xt2, i, j, k)*su2 - PDonesided3(Xt2, i, j, k)*su3; + + CCTK_REAL_VEC Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*su1) - + PDonesided2(Xt3, i, j, k)*su2 - PDonesided3(Xt3, i, j, k)*su3; + + CCTK_REAL_VEC alpharhsL = -((PDonesided1(alpha, i, j, k)*su1 + + PDonesided2(alpha, i, j, k)*su2 + PDonesided3(alpha, i, j, + k)*su3)*vg); + + CCTK_REAL_VEC ArhsL = -((PDonesided1(A, i, j, k)*su1 + + PDonesided2(A, i, j, k)*su2 + PDonesided3(A, i, j, k)*su3)*vg); + + CCTK_REAL_VEC beta1rhsL = -(PDonesided1(beta1, i, j, k)*su1) - + PDonesided2(beta1, i, j, k)*su2 - PDonesided3(beta1, i, j, k)*su3; + + CCTK_REAL_VEC beta2rhsL = -(PDonesided1(beta2, i, j, k)*su1) - + PDonesided2(beta2, i, j, k)*su2 - PDonesided3(beta2, i, j, k)*su3; + + CCTK_REAL_VEC beta3rhsL = -(PDonesided1(beta3, i, j, k)*su1) - + PDonesided2(beta3, i, j, k)*su2 - PDonesided3(beta3, i, j, k)*su3; + + CCTK_REAL_VEC B1rhsL = -(PDonesided1(B1, i, j, k)*su1) - + PDonesided2(B1, i, j, k)*su2 - PDonesided3(B1, i, j, k)*su3; + + CCTK_REAL_VEC B2rhsL = -(PDonesided1(B2, i, j, k)*su1) - + PDonesided2(B2, i, j, k)*su2 - PDonesided3(B2, i, j, k)*su3; + + CCTK_REAL_VEC 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 */ + vec_store_nta(alpharhs[index],alpharhsL); + vec_store_nta(Arhs[index],ArhsL); + vec_store_nta(At11rhs[index],At11rhsL); + vec_store_nta(At12rhs[index],At12rhsL); + vec_store_nta(At13rhs[index],At13rhsL); + vec_store_nta(At22rhs[index],At22rhsL); + vec_store_nta(At23rhs[index],At23rhsL); + vec_store_nta(At33rhs[index],At33rhsL); + vec_store_nta(B1rhs[index],B1rhsL); + vec_store_nta(B2rhs[index],B2rhsL); + vec_store_nta(B3rhs[index],B3rhsL); + vec_store_nta(beta1rhs[index],beta1rhsL); + vec_store_nta(beta2rhs[index],beta2rhsL); + vec_store_nta(beta3rhs[index],beta3rhsL); + vec_store_nta(gt11rhs[index],gt11rhsL); + vec_store_nta(gt12rhs[index],gt12rhsL); + vec_store_nta(gt13rhs[index],gt13rhsL); + vec_store_nta(gt22rhs[index],gt22rhsL); + vec_store_nta(gt23rhs[index],gt23rhsL); + vec_store_nta(gt33rhs[index],gt33rhsL); + vec_store_nta(phirhs[index],phirhsL); + vec_store_nta(trKrhs[index],trKrhsL); + vec_store_nta(Xt1rhs[index],Xt1rhsL); + vec_store_nta(Xt2rhs[index],Xt2rhsL); + vec_store_nta(Xt3rhs[index],Xt3rhsL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_RHSRadiativeBoundary); +} + +extern "C" void ML_BSSN_RHSRadiativeBoundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundary(cctkGH, &ML_BSSN_RHSRadiativeBoundary_Body); +} diff --git a/ML_BSSN/src/ML_BSSN_RHSStaticBoundary.c b/ML_BSSN/src/ML_BSSN_RHSStaticBoundary.cc index ad57753..a3725f0 100644 --- a/ML_BSSN/src/ML_BSSN_RHSStaticBoundary.c +++ b/ML_BSSN/src/ML_BSSN_RHSStaticBoundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_RHSStaticBoundary_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[]) +static void ML_BSSN_RHSStaticBoundary_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; @@ -66,6 +67,12 @@ void ML_BSSN_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int const 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -90,88 +97,89 @@ void ML_BSSN_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int const /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL phirhsL = 0; + CCTK_REAL_VEC phirhsL = 0; - CCTK_REAL gt11rhsL = 0; + CCTK_REAL_VEC gt11rhsL = 0; - CCTK_REAL gt12rhsL = 0; + CCTK_REAL_VEC gt12rhsL = 0; - CCTK_REAL gt13rhsL = 0; + CCTK_REAL_VEC gt13rhsL = 0; - CCTK_REAL gt22rhsL = 0; + CCTK_REAL_VEC gt22rhsL = 0; - CCTK_REAL gt23rhsL = 0; + CCTK_REAL_VEC gt23rhsL = 0; - CCTK_REAL gt33rhsL = 0; + CCTK_REAL_VEC gt33rhsL = 0; - CCTK_REAL trKrhsL = 0; + CCTK_REAL_VEC trKrhsL = 0; - CCTK_REAL At11rhsL = 0; + CCTK_REAL_VEC At11rhsL = 0; - CCTK_REAL At12rhsL = 0; + CCTK_REAL_VEC At12rhsL = 0; - CCTK_REAL At13rhsL = 0; + CCTK_REAL_VEC At13rhsL = 0; - CCTK_REAL At22rhsL = 0; + CCTK_REAL_VEC At22rhsL = 0; - CCTK_REAL At23rhsL = 0; + CCTK_REAL_VEC At23rhsL = 0; - CCTK_REAL At33rhsL = 0; + CCTK_REAL_VEC At33rhsL = 0; - CCTK_REAL Xt1rhsL = 0; + CCTK_REAL_VEC Xt1rhsL = 0; - CCTK_REAL Xt2rhsL = 0; + CCTK_REAL_VEC Xt2rhsL = 0; - CCTK_REAL Xt3rhsL = 0; + CCTK_REAL_VEC Xt3rhsL = 0; - CCTK_REAL alpharhsL = 0; + CCTK_REAL_VEC alpharhsL = 0; - CCTK_REAL ArhsL = 0; + CCTK_REAL_VEC ArhsL = 0; - CCTK_REAL beta1rhsL = 0; + CCTK_REAL_VEC beta1rhsL = 0; - CCTK_REAL beta2rhsL = 0; + CCTK_REAL_VEC beta2rhsL = 0; - CCTK_REAL beta3rhsL = 0; + CCTK_REAL_VEC beta3rhsL = 0; - CCTK_REAL B1rhsL = 0; + CCTK_REAL_VEC B1rhsL = 0; - CCTK_REAL B2rhsL = 0; + CCTK_REAL_VEC B2rhsL = 0; - CCTK_REAL B3rhsL = 0; + CCTK_REAL_VEC B3rhsL = 0; /* Copy local copies back to grid functions */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; + vec_store_nta(alpharhs[index],alpharhsL); + vec_store_nta(Arhs[index],ArhsL); + vec_store_nta(At11rhs[index],At11rhsL); + vec_store_nta(At12rhs[index],At12rhsL); + vec_store_nta(At13rhs[index],At13rhsL); + vec_store_nta(At22rhs[index],At22rhsL); + vec_store_nta(At23rhs[index],At23rhsL); + vec_store_nta(At33rhs[index],At33rhsL); + vec_store_nta(B1rhs[index],B1rhsL); + vec_store_nta(B2rhs[index],B2rhsL); + vec_store_nta(B3rhs[index],B3rhsL); + vec_store_nta(beta1rhs[index],beta1rhsL); + vec_store_nta(beta2rhs[index],beta2rhsL); + vec_store_nta(beta3rhs[index],beta3rhsL); + vec_store_nta(gt11rhs[index],gt11rhsL); + vec_store_nta(gt12rhs[index],gt12rhsL); + vec_store_nta(gt13rhs[index],gt13rhsL); + vec_store_nta(gt22rhs[index],gt22rhsL); + vec_store_nta(gt23rhs[index],gt23rhsL); + vec_store_nta(gt33rhs[index],gt33rhsL); + vec_store_nta(phirhs[index],phirhsL); + vec_store_nta(trKrhs[index],trKrhsL); + vec_store_nta(Xt1rhs[index],Xt1rhsL); + vec_store_nta(Xt2rhs[index],Xt2rhsL); + vec_store_nta(Xt3rhs[index],Xt3rhsL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_RHSStaticBoundary); } -void ML_BSSN_RHSStaticBoundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_RHSStaticBoundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN/src/ML_BSSN_boundary.c b/ML_BSSN/src/ML_BSSN_boundary.cc index 6997b2e..a25a67d 100644 --- a/ML_BSSN/src/ML_BSSN_boundary.c +++ b/ML_BSSN/src/ML_BSSN_boundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_boundary_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[]) +static void ML_BSSN_boundary_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; @@ -66,6 +67,12 @@ void ML_BSSN_boundary_Body(cGH const * restrict const cctkGH, int const dir, int 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -90,88 +97,89 @@ void ML_BSSN_boundary_Body(cGH const * restrict const cctkGH, int const dir, int /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL phiL = IfThen(conformalMethod,1,0); + CCTK_REAL_VEC phiL = IfThen(conformalMethod,1,0); - CCTK_REAL gt11L = 1; + CCTK_REAL_VEC gt11L = 1; - CCTK_REAL gt12L = 0; + CCTK_REAL_VEC gt12L = 0; - CCTK_REAL gt13L = 0; + CCTK_REAL_VEC gt13L = 0; - CCTK_REAL gt22L = 1; + CCTK_REAL_VEC gt22L = 1; - CCTK_REAL gt23L = 0; + CCTK_REAL_VEC gt23L = 0; - CCTK_REAL gt33L = 1; + CCTK_REAL_VEC gt33L = 1; - CCTK_REAL trKL = 0; + CCTK_REAL_VEC trKL = 0; - CCTK_REAL At11L = 0; + CCTK_REAL_VEC At11L = 0; - CCTK_REAL At12L = 0; + CCTK_REAL_VEC At12L = 0; - CCTK_REAL At13L = 0; + CCTK_REAL_VEC At13L = 0; - CCTK_REAL At22L = 0; + CCTK_REAL_VEC At22L = 0; - CCTK_REAL At23L = 0; + CCTK_REAL_VEC At23L = 0; - CCTK_REAL At33L = 0; + CCTK_REAL_VEC At33L = 0; - CCTK_REAL Xt1L = 0; + CCTK_REAL_VEC Xt1L = 0; - CCTK_REAL Xt2L = 0; + CCTK_REAL_VEC Xt2L = 0; - CCTK_REAL Xt3L = 0; + CCTK_REAL_VEC Xt3L = 0; - CCTK_REAL alphaL = 1; + CCTK_REAL_VEC alphaL = 1; - CCTK_REAL AL = 0; + CCTK_REAL_VEC AL = 0; - CCTK_REAL beta1L = 0; + CCTK_REAL_VEC beta1L = 0; - CCTK_REAL beta2L = 0; + CCTK_REAL_VEC beta2L = 0; - CCTK_REAL beta3L = 0; + CCTK_REAL_VEC beta3L = 0; - CCTK_REAL B1L = 0; + CCTK_REAL_VEC B1L = 0; - CCTK_REAL B2L = 0; + CCTK_REAL_VEC B2L = 0; - CCTK_REAL B3L = 0; + CCTK_REAL_VEC B3L = 0; /* Copy local copies back to grid functions */ - A[index] = AL; - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; + vec_store_nta(A[index],AL); + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + vec_store_nta(B1[index],B1L); + vec_store_nta(B2[index],B2L); + vec_store_nta(B3[index],B3L); + vec_store_nta(beta1[index],beta1L); + vec_store_nta(beta2[index],beta2L); + vec_store_nta(beta3[index],beta3L); + vec_store_nta(gt11[index],gt11L); + vec_store_nta(gt12[index],gt12L); + vec_store_nta(gt13[index],gt13L); + vec_store_nta(gt22[index],gt22L); + vec_store_nta(gt23[index],gt23L); + vec_store_nta(gt33[index],gt33L); + vec_store_nta(phi[index],phiL); + vec_store_nta(trK[index],trKL); + vec_store_nta(Xt1[index],Xt1L); + vec_store_nta(Xt2[index],Xt2L); + vec_store_nta(Xt3[index],Xt3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_boundary); } -void ML_BSSN_boundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_boundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN/src/ML_BSSN_constraints.c b/ML_BSSN/src/ML_BSSN_constraints.cc index 22c8b3d..57c8031 100644 --- a/ML_BSSN/src/ML_BSSN_constraints.c +++ b/ML_BSSN/src/ML_BSSN_constraints.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_constraints_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[]) +static void ML_BSSN_constraints_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; @@ -66,6 +67,12 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -82,318 +89,318 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, // int index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); /* Declare derivatives */ - // CCTK_REAL PDstandardNth1At11 = INITVALUE; - // CCTK_REAL PDstandardNth2At11 = INITVALUE; - // CCTK_REAL PDstandardNth3At11 = INITVALUE; - // CCTK_REAL PDstandardNth1At12 = INITVALUE; - // CCTK_REAL PDstandardNth2At12 = INITVALUE; - // CCTK_REAL PDstandardNth3At12 = INITVALUE; - // CCTK_REAL PDstandardNth1At13 = INITVALUE; - // CCTK_REAL PDstandardNth2At13 = INITVALUE; - // CCTK_REAL PDstandardNth3At13 = INITVALUE; - // CCTK_REAL PDstandardNth1At22 = INITVALUE; - // CCTK_REAL PDstandardNth2At22 = INITVALUE; - // CCTK_REAL PDstandardNth3At22 = INITVALUE; - // CCTK_REAL PDstandardNth1At23 = INITVALUE; - // CCTK_REAL PDstandardNth2At23 = INITVALUE; - // CCTK_REAL PDstandardNth3At23 = INITVALUE; - // CCTK_REAL PDstandardNth1At33 = INITVALUE; - // CCTK_REAL PDstandardNth2At33 = INITVALUE; - // CCTK_REAL PDstandardNth3At33 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth11phi = INITVALUE; - // CCTK_REAL PDstandardNth22phi = INITVALUE; - // CCTK_REAL PDstandardNth33phi = INITVALUE; - // CCTK_REAL PDstandardNth12phi = INITVALUE; - // CCTK_REAL PDstandardNth13phi = INITVALUE; - // CCTK_REAL PDstandardNth23phi = INITVALUE; - // CCTK_REAL PDstandardNth1trK = INITVALUE; - // CCTK_REAL PDstandardNth2trK = INITVALUE; - // CCTK_REAL PDstandardNth3trK = INITVALUE; - // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt3 = INITVALUE; /* Assign local copies of 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]; + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC eTttL = (*stress_energy_state) ? vec_load(eTtt[index]) : 0.0; + CCTK_REAL_VEC eTtxL = (*stress_energy_state) ? vec_load(eTtx[index]) : 0.0; + CCTK_REAL_VEC eTtyL = (*stress_energy_state) ? vec_load(eTty[index]) : 0.0; + CCTK_REAL_VEC eTtzL = (*stress_energy_state) ? vec_load(eTtz[index]) : 0.0; + CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; + CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; + CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; + CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; + CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; + CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); /* Include user supplied include files */ /* 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); - CCTK_REAL const PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); - CCTK_REAL const PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); - CCTK_REAL const PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); - CCTK_REAL const PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); - CCTK_REAL const PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); - CCTK_REAL const PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); - CCTK_REAL const PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); - CCTK_REAL const PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); - CCTK_REAL const PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); - CCTK_REAL const PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); - CCTK_REAL const PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); - CCTK_REAL const PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); - CCTK_REAL const PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); - CCTK_REAL const PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); - CCTK_REAL const PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); - 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); - CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At11 = PDstandardNth1(At11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At11 = PDstandardNth2(At11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At11 = PDstandardNth3(At11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); /* Calculate temporaries and grid functions */ - CCTK_REAL detgt = 1; + CCTK_REAL_VEC detgt = 1; - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - CCTK_REAL Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); - CCTK_REAL Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); - CCTK_REAL Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + CCTK_REAL_VEC Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + CCTK_REAL_VEC Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + CCTK_REAL_VEC Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + CCTK_REAL_VEC Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + CCTK_REAL_VEC Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + CCTK_REAL_VEC Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + CCTK_REAL_VEC Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu21*PDstandardNth3gt22); - CCTK_REAL Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + CCTK_REAL_VEC Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu22*PDstandardNth3gt22); - CCTK_REAL Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + CCTK_REAL_VEC Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu32*PDstandardNth3gt22); - CCTK_REAL Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + CCTK_REAL_VEC Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - CCTK_REAL Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + CCTK_REAL_VEC Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - CCTK_REAL Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + CCTK_REAL_VEC Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - CCTK_REAL Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + + CCTK_REAL_VEC 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 @@ -444,7 +451,7 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, gt33L*gtu22*SQR(Gt312) + 2*gt13L*gtu31*SQR(Gt313) + gt33L*gtu33*SQR(Gt313); - CCTK_REAL Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - + CCTK_REAL_VEC Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - @@ -517,7 +524,7 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, gt13L*Gt323) + gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); - CCTK_REAL Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - + CCTK_REAL_VEC Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - @@ -592,15 +599,15 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, 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) - + CCTK_REAL_VEC 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 + @@ -641,7 +648,7 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, gt33L*gtu11*SQR(Gt312) + gt33L*gtu22*SQR(Gt322) + 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); - CCTK_REAL Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - + CCTK_REAL_VEC Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + @@ -720,199 +727,200 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, 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 + + CCTK_REAL_VEC 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_VEC fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL_VEC cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL_VEC cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL_VEC cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL_VEC fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + + CCTK_REAL_VEC cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); - CCTK_REAL cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - + CCTK_REAL_VEC cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); - CCTK_REAL cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - + CCTK_REAL_VEC cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); - CCTK_REAL cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - + CCTK_REAL_VEC cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); - CCTK_REAL cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - + CCTK_REAL_VEC cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); - CCTK_REAL cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + + CCTK_REAL_VEC 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) + + CCTK_REAL_VEC 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_VEC 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 + + CCTK_REAL_VEC 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)) + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - CCTK_REAL em4phi = INV(e4phi); + CCTK_REAL_VEC em4phi = INV(e4phi); - CCTK_REAL gu11 = em4phi*gtu11; + CCTK_REAL_VEC gu11 = em4phi*gtu11; - CCTK_REAL gu21 = em4phi*gtu21; + CCTK_REAL_VEC gu21 = em4phi*gtu21; - CCTK_REAL gu31 = em4phi*gtu31; + CCTK_REAL_VEC gu31 = em4phi*gtu31; - CCTK_REAL gu22 = em4phi*gtu22; + CCTK_REAL_VEC gu22 = em4phi*gtu22; - CCTK_REAL gu32 = em4phi*gtu32; + CCTK_REAL_VEC gu32 = em4phi*gtu32; - CCTK_REAL gu33 = em4phi*gtu33; + CCTK_REAL_VEC gu33 = em4phi*gtu33; - CCTK_REAL R11 = Rphi11 + Rt11; + CCTK_REAL_VEC R11 = Rphi11 + Rt11; - CCTK_REAL R12 = Rphi12 + Rt12; + CCTK_REAL_VEC R12 = Rphi12 + Rt12; - CCTK_REAL R13 = Rphi13 + Rt13; + CCTK_REAL_VEC R13 = Rphi13 + Rt13; - CCTK_REAL R22 = Rphi22 + Rt22; + CCTK_REAL_VEC R22 = Rphi22 + Rt22; - CCTK_REAL R23 = Rphi23 + Rt23; + CCTK_REAL_VEC R23 = Rphi23 + Rt23; - CCTK_REAL R33 = Rphi33 + Rt33; + CCTK_REAL_VEC R33 = Rphi33 + Rt33; - CCTK_REAL trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + + CCTK_REAL_VEC trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; - CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + CCTK_REAL_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - CCTK_REAL rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + + CCTK_REAL_VEC 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 S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + + CCTK_REAL_VEC S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + beta3L*eTxzL)*INV(alphaL); - CCTK_REAL S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + + CCTK_REAL_VEC S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + beta3L*eTyzL)*INV(alphaL); - CCTK_REAL S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + + CCTK_REAL_VEC S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + beta3L*eTzzL)*INV(alphaL); - CCTK_REAL HL = -2.*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) - + CCTK_REAL_VEC 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 M1L = -2.*((At12L*Gt211 + At13L*Gt311)*gtu11 + + CCTK_REAL_VEC 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 + @@ -930,17 +938,17 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, gtu33*(-1.*(At23L*Gt213 + At33L*Gt313) + At13L*(6.*cdphi3 - 1.*Gt333) + PDstandardNth3At13) - 25.13274122871834590770114706623602307358*S1; - 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 - + CCTK_REAL_VEC 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 + @@ -949,7 +957,7 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, PDstandardNth3At22) + gtu33*PDstandardNth3At23 - 25.13274122871834590770114706623602307358*S2; - CCTK_REAL M3L = -1.*((At11L*Gt113 + At23L*Gt211 + At12L*Gt213 + + CCTK_REAL_VEC 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 + @@ -967,36 +975,37 @@ void ML_BSSN_constraints_Body(cGH const * restrict const cctkGH, int const dir, 0.6666666666666666666666666666666666666667*PDstandardNth3trK - 25.13274122871834590770114706623602307358*S3; - CCTK_REAL cSL = Log(detgt); + CCTK_REAL_VEC cSL = Log(detgt); - CCTK_REAL cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; /* 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; + vec_store_nta(cA[index],cAL); + vec_store_nta(cS[index],cSL); + vec_store_nta(cXt1[index],cXt1L); + vec_store_nta(cXt2[index],cXt2L); + vec_store_nta(cXt3[index],cXt3L); + vec_store_nta(H[index],HL); + vec_store_nta(M1[index],M1L); + vec_store_nta(M2[index],M2L); + vec_store_nta(M3[index],M3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_constraints); } -void ML_BSSN_constraints(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_constraints(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN/src/ML_BSSN_constraints_boundary.c b/ML_BSSN/src/ML_BSSN_constraints_boundary.cc index 5b1d723..3cff62c 100644 --- a/ML_BSSN/src/ML_BSSN_constraints_boundary.c +++ b/ML_BSSN/src/ML_BSSN_constraints_boundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_constraints_boundary_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[]) +static void ML_BSSN_constraints_boundary_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; @@ -66,6 +67,12 @@ void ML_BSSN_constraints_boundary_Body(cGH const * restrict const cctkGH, int co 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -90,40 +97,41 @@ void ML_BSSN_constraints_boundary_Body(cGH const * restrict const cctkGH, int co /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL HL = 0; + CCTK_REAL_VEC HL = 0; - CCTK_REAL M1L = 0; + CCTK_REAL_VEC M1L = 0; - CCTK_REAL M2L = 0; + CCTK_REAL_VEC M2L = 0; - CCTK_REAL M3L = 0; + CCTK_REAL_VEC M3L = 0; - CCTK_REAL cSL = 0; + CCTK_REAL_VEC cSL = 0; - CCTK_REAL cXt1L = 0; + CCTK_REAL_VEC cXt1L = 0; - CCTK_REAL cXt2L = 0; + CCTK_REAL_VEC cXt2L = 0; - CCTK_REAL cXt3L = 0; + CCTK_REAL_VEC cXt3L = 0; - CCTK_REAL cAL = 0; + CCTK_REAL_VEC 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; + vec_store_nta(cA[index],cAL); + vec_store_nta(cS[index],cSL); + vec_store_nta(cXt1[index],cXt1L); + vec_store_nta(cXt2[index],cXt2L); + vec_store_nta(cXt3[index],cXt3L); + vec_store_nta(H[index],HL); + vec_store_nta(M1[index],M1L); + vec_store_nta(M2[index],M2L); + vec_store_nta(M3[index],M3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_constraints_boundary); } -void ML_BSSN_constraints_boundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_constraints_boundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN/src/ML_BSSN_convertFromADMBase.c b/ML_BSSN/src/ML_BSSN_convertFromADMBase.c deleted file mode 100644 index 14b6d75..0000000 --- a/ML_BSSN/src/ML_BSSN_convertFromADMBase.c +++ /dev/null @@ -1,208 +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_convertFromADMBase_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertFromADMBase_Body"); - } - - if (cctk_iteration % ML_BSSN_convertFromADMBase_calc_every != ML_BSSN_convertFromADMBase_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_convertFromADMBase, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of 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 */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL g11 = gxxL; - - CCTK_REAL g12 = gxyL; - - CCTK_REAL g13 = gxzL; - - CCTK_REAL g22 = gyyL; - - CCTK_REAL g23 = gyzL; - - CCTK_REAL g33 = gzzL; - - CCTK_REAL detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - - g22*SQR(g13) - g11*SQR(g23); - - CCTK_REAL gu11 = INV(detg)*(g22*g33 - SQR(g23)); - - CCTK_REAL gu21 = (g13*g23 - g12*g33)*INV(detg); - - CCTK_REAL gu31 = (-(g13*g22) + g12*g23)*INV(detg); - - CCTK_REAL gu22 = INV(detg)*(g11*g33 - SQR(g13)); - - CCTK_REAL gu32 = (g12*g13 - g11*g23)*INV(detg); - - CCTK_REAL gu33 = INV(detg)*(g11*g22 - SQR(g12)); - - phiL = - IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); - - CCTK_REAL em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - - CCTK_REAL gt11L = em4phi*g11; - - CCTK_REAL gt12L = em4phi*g12; - - CCTK_REAL gt13L = em4phi*g13; - - CCTK_REAL gt22L = em4phi*g22; - - CCTK_REAL gt23L = em4phi*g23; - - CCTK_REAL gt33L = em4phi*g33; - - trKL = gu11*kxxL + gu22*kyyL + 2*(gu21*kxyL + gu31*kxzL + gu32*kyzL) + - gu33*kzzL; - - CCTK_REAL At11L = em4phi*(kxxL - g11*kthird*trKL); - - CCTK_REAL At12L = em4phi*(kxyL - g12*kthird*trKL); - - CCTK_REAL At13L = em4phi*(kxzL - g13*kthird*trKL); - - CCTK_REAL At22L = em4phi*(kyyL - g22*kthird*trKL); - - CCTK_REAL At23L = em4phi*(kyzL - g23*kthird*trKL); - - CCTK_REAL At33L = em4phi*(kzzL - g33*kthird*trKL); - - CCTK_REAL alphaL = alpL; - - CCTK_REAL beta1L = betaxL; - - CCTK_REAL beta2L = betayL; - - CCTK_REAL beta3L = betazL; - - - /* 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; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - } - LC_ENDLOOP3 (ML_BSSN_convertFromADMBase); -} - -void ML_BSSN_convertFromADMBase(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_convertFromADMBase_Body); -} diff --git a/ML_BSSN/src/ML_BSSN_convertFromADMBase.cc b/ML_BSSN/src/ML_BSSN_convertFromADMBase.cc new file mode 100644 index 0000000..652392e --- /dev/null +++ b/ML_BSSN/src/ML_BSSN_convertFromADMBase.cc @@ -0,0 +1,216 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_convertFromADMBase_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertFromADMBase_Body"); + } + + if (cctk_iteration % ML_BSSN_convertFromADMBase_calc_every != ML_BSSN_convertFromADMBase_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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; + 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_convertFromADMBase, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC alpL = vec_load(alp[index]); + CCTK_REAL_VEC betaxL = vec_load(betax[index]); + CCTK_REAL_VEC betayL = vec_load(betay[index]); + CCTK_REAL_VEC betazL = vec_load(betaz[index]); + CCTK_REAL_VEC gxxL = vec_load(gxx[index]); + CCTK_REAL_VEC gxyL = vec_load(gxy[index]); + CCTK_REAL_VEC gxzL = vec_load(gxz[index]); + CCTK_REAL_VEC gyyL = vec_load(gyy[index]); + CCTK_REAL_VEC gyzL = vec_load(gyz[index]); + CCTK_REAL_VEC gzzL = vec_load(gzz[index]); + CCTK_REAL_VEC kxxL = vec_load(kxx[index]); + CCTK_REAL_VEC kxyL = vec_load(kxy[index]); + CCTK_REAL_VEC kxzL = vec_load(kxz[index]); + CCTK_REAL_VEC kyyL = vec_load(kyy[index]); + CCTK_REAL_VEC kyzL = vec_load(kyz[index]); + CCTK_REAL_VEC kzzL = vec_load(kzz[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL_VEC g11 = gxxL; + + CCTK_REAL_VEC g12 = gxyL; + + CCTK_REAL_VEC g13 = gxzL; + + CCTK_REAL_VEC g22 = gyyL; + + CCTK_REAL_VEC g23 = gyzL; + + CCTK_REAL_VEC g33 = gzzL; + + CCTK_REAL_VEC detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - + g22*SQR(g13) - g11*SQR(g23); + + CCTK_REAL_VEC gu11 = INV(detg)*(g22*g33 - SQR(g23)); + + CCTK_REAL_VEC gu21 = (g13*g23 - g12*g33)*INV(detg); + + CCTK_REAL_VEC gu31 = (-(g13*g22) + g12*g23)*INV(detg); + + CCTK_REAL_VEC gu22 = INV(detg)*(g11*g33 - SQR(g13)); + + CCTK_REAL_VEC gu32 = (g12*g13 - g11*g23)*INV(detg); + + CCTK_REAL_VEC gu33 = INV(detg)*(g11*g22 - SQR(g12)); + + phiL = + IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); + + CCTK_REAL_VEC em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + + CCTK_REAL_VEC gt11L = em4phi*g11; + + CCTK_REAL_VEC gt12L = em4phi*g12; + + CCTK_REAL_VEC gt13L = em4phi*g13; + + CCTK_REAL_VEC gt22L = em4phi*g22; + + CCTK_REAL_VEC gt23L = em4phi*g23; + + CCTK_REAL_VEC gt33L = em4phi*g33; + + trKL = gu11*kxxL + gu22*kyyL + 2*(gu21*kxyL + gu31*kxzL + gu32*kyzL) + + gu33*kzzL; + + CCTK_REAL_VEC At11L = em4phi*(kxxL - g11*kthird*trKL); + + CCTK_REAL_VEC At12L = em4phi*(kxyL - g12*kthird*trKL); + + CCTK_REAL_VEC At13L = em4phi*(kxzL - g13*kthird*trKL); + + CCTK_REAL_VEC At22L = em4phi*(kyyL - g22*kthird*trKL); + + CCTK_REAL_VEC At23L = em4phi*(kyzL - g23*kthird*trKL); + + CCTK_REAL_VEC At33L = em4phi*(kzzL - g33*kthird*trKL); + + CCTK_REAL_VEC alphaL = alpL; + + CCTK_REAL_VEC beta1L = betaxL; + + CCTK_REAL_VEC beta2L = betayL; + + CCTK_REAL_VEC beta3L = betazL; + + + /* Copy local copies back to grid functions */ + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + vec_store_nta(beta1[index],beta1L); + vec_store_nta(beta2[index],beta2L); + vec_store_nta(beta3[index],beta3L); + vec_store_nta(gt11[index],gt11L); + vec_store_nta(gt12[index],gt12L); + vec_store_nta(gt13[index],gt13L); + vec_store_nta(gt22[index],gt22L); + vec_store_nta(gt23[index],gt23L); + vec_store_nta(gt33[index],gt33L); + vec_store_nta(phi[index],phiL); + vec_store_nta(trK[index],trKL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_convertFromADMBase); +} + +extern "C" void ML_BSSN_convertFromADMBase(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_convertFromADMBase_Body); +} diff --git a/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.c b/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.c deleted file mode 100644 index 1a6159a..0000000 --- a/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.c +++ /dev/null @@ -1,309 +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_convertFromADMBaseGamma_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertFromADMBaseGamma_Body"); - } - - if (cctk_iteration % ML_BSSN_convertFromADMBaseGamma_calc_every != ML_BSSN_convertFromADMBaseGamma_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_convertFromADMBaseGamma, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - - /* Assign local copies of 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]; - CCTK_REAL rL = r[index]; - - /* Include user supplied include files */ - - /* 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); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - 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 Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + - Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - - CCTK_REAL Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + - Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - - CCTK_REAL Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + - Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - - CCTK_REAL AL = -(dtalpL*(-1 + - LapseAdvectionCoeff)*INV(harmonicF)*pow(alphaL,-harmonicN)); - - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); - - CCTK_REAL B1L = 6*IfThen(ShiftGammaCoeff*theta != - 0,dtbetaxL*INV(ShiftGammaCoeff)*INV(theta),0) + - IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth1(betax, i, - j, - k)*beta1L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth2(betax, i, - j, - k)*beta2L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth3(betax, i, - j, - k)*beta3L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0); - - CCTK_REAL B2L = 6*IfThen(ShiftGammaCoeff*theta != - 0,dtbetayL*INV(ShiftGammaCoeff)*INV(theta),0) + - IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth1(betay, i, - j, - k)*beta1L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth2(betay, i, - j, - k)*beta2L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth3(betay, i, - j, - k)*beta3L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0); - - CCTK_REAL B3L = 6*IfThen(ShiftGammaCoeff*theta != - 0,dtbetazL*INV(ShiftGammaCoeff)*INV(theta),0) + - IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth1(betaz, i, - j, - k)*beta1L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth2(betaz, i, - j, - k)*beta2L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth3(betaz, i, - j, - k)*beta3L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0); - - - /* Copy local copies back to grid functions */ - A[index] = AL; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; - } - LC_ENDLOOP3 (ML_BSSN_convertFromADMBaseGamma); -} - -void ML_BSSN_convertFromADMBaseGamma(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_convertFromADMBaseGamma_Body); -} diff --git a/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.cc b/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.cc new file mode 100644 index 0000000..0b13b17 --- /dev/null +++ b/ML_BSSN/src/ML_BSSN_convertFromADMBaseGamma.cc @@ -0,0 +1,419 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_convertFromADMBaseGamma_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertFromADMBaseGamma_Body"); + } + + if (cctk_iteration % ML_BSSN_convertFromADMBaseGamma_calc_every != ML_BSSN_convertFromADMBaseGamma_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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; + 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_convertFromADMBaseGamma, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDupwindNthAnti1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC dtalpL = vec_load(dtalp[index]); + CCTK_REAL_VEC dtbetaxL = vec_load(dtbetax[index]); + CCTK_REAL_VEC dtbetayL = vec_load(dtbetay[index]); + CCTK_REAL_VEC dtbetazL = vec_load(dtbetaz[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL_VEC Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL_VEC Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL_VEC Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL_VEC AL = 12*IfThen(LapseACoeff != + 0,-(dtalpL*INV(harmonicF)*pow(alphaL,-harmonicN)),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1alpha + + PDupwindNthSymm1alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta2L*PDupwindNthAnti2alpha + + PDupwindNthSymm2alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + 2*(IfThen(LapseACoeff != 0,(-dtalpL + + beta1L*LapseAdvectionCoeff*PDupwindNthAnti1alpha)*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + beta2L*LapseAdvectionCoeff*PDupwindNthAnti2alpha)*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + beta3L*LapseAdvectionCoeff*PDupwindNthAnti3alpha)*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*PDupwindNthSymm1alpha*Abs(beta1L))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*PDupwindNthSymm2alpha*Abs(beta2L))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*PDupwindNthSymm3alpha*Abs(beta3L))*INV(harmonicF)*pow(alphaL,-harmonicN),0)) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta3L*PDupwindNthAnti3alpha + + PDupwindNthSymm3alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0); + + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); + + CCTK_REAL_VEC B1L = 12*IfThen(ShiftBCoeff*ShiftGammaCoeff != + 0,dtbetaxL*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff - + PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff - + PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + 2*(IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0)) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff - + PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0); + + CCTK_REAL_VEC B2L = 12*IfThen(ShiftBCoeff*ShiftGammaCoeff != + 0,dtbetayL*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff - + PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff - + PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + 2*(IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0)) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff - + PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0); + + CCTK_REAL_VEC B3L = 12*IfThen(ShiftBCoeff*ShiftGammaCoeff != + 0,dtbetazL*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff - + PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff - + PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + 2*(IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0)) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff - + PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0); + + + /* Copy local copies back to grid functions */ + vec_store_nta(A[index],AL); + vec_store_nta(B1[index],B1L); + vec_store_nta(B2[index],B2L); + vec_store_nta(B3[index],B3L); + vec_store_nta(Xt1[index],Xt1L); + vec_store_nta(Xt2[index],Xt2L); + vec_store_nta(Xt3[index],Xt3L); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_convertFromADMBaseGamma); +} + +extern "C" void ML_BSSN_convertFromADMBaseGamma(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_convertFromADMBaseGamma_Body); +} diff --git a/ML_BSSN/src/ML_BSSN_convertToADMBase.c b/ML_BSSN/src/ML_BSSN_convertToADMBase.cc index 7fef4e0..5ea3a3f 100644 --- a/ML_BSSN/src/ML_BSSN_convertToADMBase.c +++ b/ML_BSSN/src/ML_BSSN_convertToADMBase.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_convertToADMBase_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[]) +static void ML_BSSN_convertToADMBase_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; @@ -66,6 +67,12 @@ void ML_BSSN_convertToADMBase_Body(cGH const * restrict const cctkGH, int const 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -84,37 +91,38 @@ void ML_BSSN_convertToADMBase_Body(cGH const * restrict const cctkGH, int const /* Declare derivatives */ /* Assign local copies of 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]; + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC gxxL = vec_load(gxx[index]); + CCTK_REAL_VEC gxyL = vec_load(gxy[index]); + CCTK_REAL_VEC gxzL = vec_load(gxz[index]); + CCTK_REAL_VEC gyyL = vec_load(gyy[index]); + CCTK_REAL_VEC gyzL = vec_load(gyz[index]); + CCTK_REAL_VEC gzzL = vec_load(gzz[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + CCTK_REAL_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); gxxL = e4phi*gt11L; @@ -128,49 +136,50 @@ void ML_BSSN_convertToADMBase_Body(cGH const * restrict const cctkGH, int const gzzL = e4phi*gt33L; - CCTK_REAL kxxL = At11L*e4phi + gxxL*kthird*trKL; + CCTK_REAL_VEC kxxL = At11L*e4phi + gxxL*kthird*trKL; - CCTK_REAL kxyL = At12L*e4phi + gxyL*kthird*trKL; + CCTK_REAL_VEC kxyL = At12L*e4phi + gxyL*kthird*trKL; - CCTK_REAL kxzL = At13L*e4phi + gxzL*kthird*trKL; + CCTK_REAL_VEC kxzL = At13L*e4phi + gxzL*kthird*trKL; - CCTK_REAL kyyL = At22L*e4phi + gyyL*kthird*trKL; + CCTK_REAL_VEC kyyL = At22L*e4phi + gyyL*kthird*trKL; - CCTK_REAL kyzL = At23L*e4phi + gyzL*kthird*trKL; + CCTK_REAL_VEC kyzL = At23L*e4phi + gyzL*kthird*trKL; - CCTK_REAL kzzL = At33L*e4phi + gzzL*kthird*trKL; + CCTK_REAL_VEC kzzL = At33L*e4phi + gzzL*kthird*trKL; - CCTK_REAL alpL = alphaL; + CCTK_REAL_VEC alpL = alphaL; - CCTK_REAL betaxL = beta1L; + CCTK_REAL_VEC betaxL = beta1L; - CCTK_REAL betayL = beta2L; + CCTK_REAL_VEC betayL = beta2L; - CCTK_REAL betazL = beta3L; + CCTK_REAL_VEC betazL = beta3L; /* Copy local copies back to grid functions */ - alp[index] = alpL; - betax[index] = betaxL; - betay[index] = betayL; - betaz[index] = betazL; - gxx[index] = gxxL; - gxy[index] = gxyL; - gxz[index] = gxzL; - gyy[index] = gyyL; - gyz[index] = gyzL; - gzz[index] = gzzL; - kxx[index] = kxxL; - kxy[index] = kxyL; - kxz[index] = kxzL; - kyy[index] = kyyL; - kyz[index] = kyzL; - kzz[index] = kzzL; + vec_store_nta(alp[index],alpL); + vec_store_nta(betax[index],betaxL); + vec_store_nta(betay[index],betayL); + vec_store_nta(betaz[index],betazL); + vec_store_nta(gxx[index],gxxL); + vec_store_nta(gxy[index],gxyL); + vec_store_nta(gxz[index],gxzL); + vec_store_nta(gyy[index],gyyL); + vec_store_nta(gyz[index],gyzL); + vec_store_nta(gzz[index],gzzL); + vec_store_nta(kxx[index],kxxL); + vec_store_nta(kxy[index],kxyL); + vec_store_nta(kxz[index],kxzL); + vec_store_nta(kyy[index],kyyL); + vec_store_nta(kyz[index],kyzL); + vec_store_nta(kzz[index],kzzL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_convertToADMBase); } -void ML_BSSN_convertToADMBase(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_convertToADMBase(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.c b/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.c deleted file mode 100644 index 48f6554..0000000 --- a/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.c +++ /dev/null @@ -1,145 +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_convertToADMBaseDtLapseShift_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertToADMBaseDtLapseShift_Body"); - } - - if (cctk_iteration % ML_BSSN_convertToADMBaseDtLapseShift_calc_every != ML_BSSN_convertToADMBaseDtLapseShift_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_convertToADMBaseDtLapseShift, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of 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 rL = r[index]; - CCTK_REAL trKL = trK[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); - - 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 dtbetaxL = (PDupwindNth1(beta1, i, j, k)*beta1L + - PDupwindNth2(beta1, i, j, k)*beta2L + PDupwindNth3(beta1, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff*theta; - - CCTK_REAL dtbetayL = (PDupwindNth1(beta2, i, j, k)*beta1L + - PDupwindNth2(beta2, i, j, k)*beta2L + PDupwindNth3(beta2, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff*theta; - - CCTK_REAL dtbetazL = (PDupwindNth1(beta3, i, j, k)*beta1L + - PDupwindNth2(beta3, i, j, k)*beta2L + PDupwindNth3(beta3, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff*theta; - - - /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; - } - LC_ENDLOOP3 (ML_BSSN_convertToADMBaseDtLapseShift); -} - -void ML_BSSN_convertToADMBaseDtLapseShift(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_convertToADMBaseDtLapseShift_Body); -} diff --git a/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.cc b/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.cc new file mode 100644 index 0000000..91f8bc9 --- /dev/null +++ b/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShift.cc @@ -0,0 +1,220 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_convertToADMBaseDtLapseShift_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertToADMBaseDtLapseShift_Body"); + } + + if (cctk_iteration % ML_BSSN_convertToADMBaseDtLapseShift_calc_every != ML_BSSN_convertToADMBaseDtLapseShift_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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; + 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_convertToADMBaseDtLapseShift, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDupwindNthAnti1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); + + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); + + CCTK_REAL_VEC dtalpL = + LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1alpha + + beta2L*PDupwindNthAnti2alpha + beta3L*PDupwindNthAnti3alpha + + PDupwindNthSymm1alpha*Abs(beta1L) + PDupwindNthSymm2alpha*Abs(beta2L) + + PDupwindNthSymm3alpha*Abs(beta3L)) - harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN); + + CCTK_REAL_VEC dtbetaxL = + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta1 + + beta2L*PDupwindNthAnti2beta1 + beta3L*PDupwindNthAnti3beta1 + + PDupwindNthSymm1beta1*Abs(beta1L) + PDupwindNthSymm2beta1*Abs(beta2L) + + PDupwindNthSymm3beta1*Abs(beta3L)); + + CCTK_REAL_VEC dtbetayL = + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta2 + + beta2L*PDupwindNthAnti2beta2 + beta3L*PDupwindNthAnti3beta2 + + PDupwindNthSymm1beta2*Abs(beta1L) + PDupwindNthSymm2beta2*Abs(beta2L) + + PDupwindNthSymm3beta2*Abs(beta3L)); + + CCTK_REAL_VEC dtbetazL = + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta3 + + beta2L*PDupwindNthAnti2beta3 + beta3L*PDupwindNthAnti3beta3 + + PDupwindNthSymm1beta3*Abs(beta1L) + PDupwindNthSymm2beta3*Abs(beta2L) + + PDupwindNthSymm3beta3*Abs(beta3L)); + + + /* Copy local copies back to grid functions */ + vec_store_nta(dtalp[index],dtalpL); + vec_store_nta(dtbetax[index],dtbetaxL); + vec_store_nta(dtbetay[index],dtbetayL); + vec_store_nta(dtbetaz[index],dtbetazL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_convertToADMBaseDtLapseShift); +} + +extern "C" void ML_BSSN_convertToADMBaseDtLapseShift(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_convertToADMBaseDtLapseShift_Body); +} diff --git a/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c b/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShiftBoundary.cc index 40804f6..857c4ef 100644 --- a/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShiftBoundary.c +++ b/ML_BSSN/src/ML_BSSN_convertToADMBaseDtLapseShiftBoundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_convertToADMBaseDtLapseShiftBoundary_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[]) +static void ML_BSSN_convertToADMBaseDtLapseShiftBoundary_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; @@ -66,6 +67,12 @@ void ML_BSSN_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict cons 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -84,42 +91,57 @@ void ML_BSSN_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict cons /* Declare derivatives */ /* Assign local copies of 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 rL = r[index]; - CCTK_REAL trKL = trK[index]; + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); - CCTK_REAL dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); - CCTK_REAL dtbetaxL = B1L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtalpL = -(harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN)); - CCTK_REAL dtbetayL = B2L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetaxL = + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L); - CCTK_REAL dtbetazL = B3L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetayL = + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L); + + CCTK_REAL_VEC dtbetazL = + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L); /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; + vec_store_nta(dtalp[index],dtalpL); + vec_store_nta(dtbetax[index],dtbetaxL); + vec_store_nta(dtbetay[index],dtbetayL); + vec_store_nta(dtbetaz[index],dtbetazL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_convertToADMBaseDtLapseShiftBoundary); } -void ML_BSSN_convertToADMBaseDtLapseShiftBoundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_convertToADMBaseDtLapseShiftBoundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN/src/ML_BSSN_convertToADMBaseFakeDtLapseShift.c b/ML_BSSN/src/ML_BSSN_convertToADMBaseFakeDtLapseShift.cc index 828f254..3353ed1 100644 --- a/ML_BSSN/src/ML_BSSN_convertToADMBaseFakeDtLapseShift.c +++ b/ML_BSSN/src/ML_BSSN_convertToADMBaseFakeDtLapseShift.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_convertToADMBaseFakeDtLapseShift_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[]) +static void ML_BSSN_convertToADMBaseFakeDtLapseShift_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; @@ -66,6 +67,12 @@ void ML_BSSN_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const cc 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -84,42 +91,57 @@ void ML_BSSN_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const cc /* Declare derivatives */ /* Assign local copies of 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 rL = r[index]; - CCTK_REAL trKL = trK[index]; + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); - CCTK_REAL dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); - CCTK_REAL dtbetaxL = B1L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtalpL = -(harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN)); - CCTK_REAL dtbetayL = B2L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetaxL = + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L); - CCTK_REAL dtbetazL = B3L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetayL = + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L); + + CCTK_REAL_VEC dtbetazL = + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L); /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; + vec_store_nta(dtalp[index],dtalpL); + vec_store_nta(dtbetax[index],dtbetaxL); + vec_store_nta(dtbetay[index],dtbetayL); + vec_store_nta(dtbetaz[index],dtbetazL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_convertToADMBaseFakeDtLapseShift); } -void ML_BSSN_convertToADMBaseFakeDtLapseShift(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_convertToADMBaseFakeDtLapseShift(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN/src/ML_BSSN_enforce.c b/ML_BSSN/src/ML_BSSN_enforce.cc index f9442ad..239cf9e 100644 --- a/ML_BSSN/src/ML_BSSN_enforce.c +++ b/ML_BSSN/src/ML_BSSN_enforce.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_enforce_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[]) +static void ML_BSSN_enforce_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; @@ -66,6 +67,12 @@ void ML_BSSN_enforce_Body(cGH const * restrict const cctkGH, int const dir, int 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -84,40 +91,40 @@ void ML_BSSN_enforce_Body(cGH const * restrict const cctkGH, int const dir, int /* Declare derivatives */ /* Assign local copies of 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]; + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL detgt = 1; + CCTK_REAL_VEC detgt = 1; - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + + CCTK_REAL_VEC trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; At11L = At11L - gt11L*kthird*trAt; @@ -136,18 +143,19 @@ void ML_BSSN_enforce_Body(cGH const * restrict const cctkGH, int const dir, int /* 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; + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_enforce); } -void ML_BSSN_enforce(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_enforce(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN/src/make.code.defn b/ML_BSSN/src/make.code.defn index 3f0d62e..e7afeef 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_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 +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_Minkowski.cc ML_BSSN_convertFromADMBase.cc ML_BSSN_convertFromADMBaseGamma.cc ML_BSSN_RHS1.cc ML_BSSN_RHS2.cc ML_BSSN_RHSStaticBoundary.cc ML_BSSN_RHSRadiativeBoundary.cc ML_BSSN_enforce.cc ML_BSSN_boundary.cc ML_BSSN_convertToADMBase.cc ML_BSSN_convertToADMBaseDtLapseShift.cc ML_BSSN_convertToADMBaseDtLapseShiftBoundary.cc ML_BSSN_convertToADMBaseFakeDtLapseShift.cc ML_BSSN_constraints.cc ML_BSSN_constraints_boundary.cc Boundaries.c diff --git a/ML_BSSN_MP/interface.ccl b/ML_BSSN_MP/interface.ccl index 827935d..32894af 100644 --- a/ML_BSSN_MP/interface.ccl +++ b/ML_BSSN_MP/interface.ccl @@ -8,6 +8,7 @@ inherits: ADMBase TmunuBase Coordinates Grid GenericFD Boundary USES INCLUDE: GenericFD.h USES INCLUDE: Symmetry.h +USES INCLUDE: Vectors.hh USES INCLUDE: sbp_calc_coeffs.h USES INCLUDE: Boundary.h USES INCLUDE: loopcontrol.h diff --git a/ML_BSSN_MP/param.ccl b/ML_BSSN_MP/param.ccl index 0b141ab..d51059a 100644 --- a/ML_BSSN_MP/param.ccl +++ b/ML_BSSN_MP/param.ccl @@ -55,6 +55,12 @@ CCTK_INT verbose "verbose" } 0 restricted: +CCTK_REAL LapseACoeff "Whether to evolve A in time" +{ + "*:*" :: "" +} 0 + +restricted: CCTK_REAL harmonicF "d/dt alpha = - f alpha^n K (harmonic=1, 1+log=2)" { "*:*" :: "" @@ -67,6 +73,12 @@ CCTK_REAL AlphaDriver "AlphaDriver" } 0 restricted: +CCTK_REAL ShiftBCoeff "Whether to evolve B^i in time" +{ + "*:*" :: "" +} 1 + +restricted: CCTK_REAL ShiftGammaCoeff "ShiftGammaCoeff" { "*:*" :: "" @@ -109,6 +121,12 @@ CCTK_REAL SpatialShiftGammaCoeffRadius "Radius at which the ShiftGammaCoefficien } 1000000000000 restricted: +CCTK_REAL EpsDiss "Dissipation strength" +{ + "*:*" :: "" +} 0 + +restricted: CCTK_INT harmonicN "d/dt alpha = - f alpha^n K (harmonic=2, 1+log=1)" { *:* :: "" diff --git a/ML_BSSN_MP/src/Differencing.h b/ML_BSSN_MP/src/Differencing.h index 1cdce99..1605049 100644 --- a/ML_BSSN_MP/src/Differencing.h +++ b/ML_BSSN_MP/src/Differencing.h @@ -1,18 +1,27 @@ -#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) -#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) -#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) -#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) -#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) -#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) -#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) -#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) -#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) -#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) -#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) -#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) -#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(2*dir1)+dj*(0)+dk*(0)] + (u)[index+di*(3*dir1)+dj*(0)+dk*(0)] - 3*(u)[index+di*(-dir1)+dj*(0)+dk*(0)] + 18*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) -#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(2*dir2)+dk*(0)] + (u)[index+di*(0)+dj*(3*dir2)+dk*(0)] - 3*(u)[index+di*(0)+dj*(-dir2)+dk*(0)] + 18*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) -#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*(u)[index+di*(0)+dj*(0)+dk*(0)] - 6*(u)[index+di*(0)+dj*(0)+dk*(2*dir3)] + (u)[index+di*(0)+dj*(0)+dk*(3*dir3)] - 3*(u)[index+di*(0)+dj*(0)+dk*(-dir3)] + 18*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) -#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) -#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) -#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + 8*vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) - vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]))) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + 8*vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) - vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]))) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + 8*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) - vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]))) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 16*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]))) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 16*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]))) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 16*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]))) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*(vec_loadu((u)[index+di*(-1)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-1)+dk*(0)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(1)+dk*(0)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-1)+dk*(0)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(-2)+dk*(0)]) - vec_loadu((u)[index+di*(-2)+dj*(2)+dk*(0)]) - vec_loadu((u)[index+di*(2)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(2)+dk*(0)]))) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-2)]) - vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(2)]) - vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(2)]))) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*(vec_loadu((u)[index+di*(-1)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-1)+dk*(0)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(1)+dk*(0)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-1)+dk*(0)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(-2)+dk*(0)]) - vec_loadu((u)[index+di*(-2)+dj*(2)+dk*(0)]) - vec_loadu((u)[index+di*(2)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(2)+dk*(0)]))) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-2)]) - vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(2)]) - vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(2)]))) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-2)]) - vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(2)]) - vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(2)]))) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-2)]) - vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(2)]) - vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(2)]))) +#define PDdissipationNth1(u,i,j,k) (p1o64dx*(-20*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 15*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)])) - 6*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)])) + vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(0)]))) +#define PDdissipationNth2(u,i,j,k) (p1o64dy*(-20*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 15*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)])) - 6*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)])) + vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(0)]))) +#define PDdissipationNth3(u,i,j,k) (p1o64dz*(-20*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 15*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)])) - 6*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)])) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3)]))) +#define PDupwindNth1(u,i,j,k) (p1o12dx*(-10*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 6*vec_loadu((u)[index+di*(2*dir1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(3*dir1)+dj*(0)+dk*(0)]) - 3*vec_loadu((u)[index+di*(-dir1)+dj*(0)+dk*(0)]) + 18*vec_loadu((u)[index+di*(dir1)+dj*(0)+dk*(0)]))*dir1) +#define PDupwindNth2(u,i,j,k) (p1o12dy*(-10*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 6*vec_loadu((u)[index+di*(0)+dj*(2*dir2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(3*dir2)+dk*(0)]) - 3*vec_loadu((u)[index+di*(0)+dj*(-dir2)+dk*(0)]) + 18*vec_loadu((u)[index+di*(0)+dj*(dir2)+dk*(0)]))*dir2) +#define PDupwindNth3(u,i,j,k) (p1o12dz*(-10*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 6*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2*dir3)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3*dir3)]) - 3*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-dir3)]) + 18*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(dir3)]))*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(dir1)+dj*(0)+dk*(0)]))*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(dir2)+dk*(0)]))*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(dir3)]))*dir3) +#define PDupwindNthAnti1(u,i,j,k) (p1o24dx*(-21*vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + 21*vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)]) + 6*vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) - 6*vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]) - vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(0)]))) +#define PDupwindNthSymm1(u,i,j,k) (p1o24dx*(-20*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 15*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)])) - 6*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)])) + vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(0)]))) +#define PDupwindNthAnti2(u,i,j,k) (p1o24dy*(-21*vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + 21*vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)]) + 6*vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) - 6*vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]) - vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(0)]))) +#define PDupwindNthSymm2(u,i,j,k) (p1o24dy*(-20*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 15*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)])) - 6*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)])) + vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(0)]))) +#define PDupwindNthAnti3(u,i,j,k) (p1o24dz*(-21*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + 21*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)]) + 6*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) - 6*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]) - vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3)]))) +#define PDupwindNthSymm3(u,i,j,k) (p1o24dz*(-20*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 15*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)])) - 6*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)])) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3)]))) diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_Minkowski.c b/ML_BSSN_MP/src/ML_BSSN_MP_Minkowski.cc index d93a54a..8998f29 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_Minkowski.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_Minkowski.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_Minkowski_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[]) +static void ML_BSSN_MP_Minkowski_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; @@ -66,6 +67,12 @@ void ML_BSSN_MP_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -90,88 +97,89 @@ void ML_BSSN_MP_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL phiL = IfThen(conformalMethod,1,0); + CCTK_REAL_VEC phiL = IfThen(conformalMethod,1,0); - CCTK_REAL gt11L = 1; + CCTK_REAL_VEC gt11L = 1; - CCTK_REAL gt12L = 0; + CCTK_REAL_VEC gt12L = 0; - CCTK_REAL gt13L = 0; + CCTK_REAL_VEC gt13L = 0; - CCTK_REAL gt22L = 1; + CCTK_REAL_VEC gt22L = 1; - CCTK_REAL gt23L = 0; + CCTK_REAL_VEC gt23L = 0; - CCTK_REAL gt33L = 1; + CCTK_REAL_VEC gt33L = 1; - CCTK_REAL trKL = 0; + CCTK_REAL_VEC trKL = 0; - CCTK_REAL At11L = 0; + CCTK_REAL_VEC At11L = 0; - CCTK_REAL At12L = 0; + CCTK_REAL_VEC At12L = 0; - CCTK_REAL At13L = 0; + CCTK_REAL_VEC At13L = 0; - CCTK_REAL At22L = 0; + CCTK_REAL_VEC At22L = 0; - CCTK_REAL At23L = 0; + CCTK_REAL_VEC At23L = 0; - CCTK_REAL At33L = 0; + CCTK_REAL_VEC At33L = 0; - CCTK_REAL Xt1L = 0; + CCTK_REAL_VEC Xt1L = 0; - CCTK_REAL Xt2L = 0; + CCTK_REAL_VEC Xt2L = 0; - CCTK_REAL Xt3L = 0; + CCTK_REAL_VEC Xt3L = 0; - CCTK_REAL alphaL = 1; + CCTK_REAL_VEC alphaL = 1; - CCTK_REAL AL = 0; + CCTK_REAL_VEC AL = 0; - CCTK_REAL beta1L = 0; + CCTK_REAL_VEC beta1L = 0; - CCTK_REAL beta2L = 0; + CCTK_REAL_VEC beta2L = 0; - CCTK_REAL beta3L = 0; + CCTK_REAL_VEC beta3L = 0; - CCTK_REAL B1L = 0; + CCTK_REAL_VEC B1L = 0; - CCTK_REAL B2L = 0; + CCTK_REAL_VEC B2L = 0; - CCTK_REAL B3L = 0; + CCTK_REAL_VEC B3L = 0; /* Copy local copies back to grid functions */ - A[index] = AL; - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; + vec_store_nta(A[index],AL); + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + vec_store_nta(B1[index],B1L); + vec_store_nta(B2[index],B2L); + vec_store_nta(B3[index],B3L); + vec_store_nta(beta1[index],beta1L); + vec_store_nta(beta2[index],beta2L); + vec_store_nta(beta3[index],beta3L); + vec_store_nta(gt11[index],gt11L); + vec_store_nta(gt12[index],gt12L); + vec_store_nta(gt13[index],gt13L); + vec_store_nta(gt22[index],gt22L); + vec_store_nta(gt23[index],gt23L); + vec_store_nta(gt33[index],gt33L); + vec_store_nta(phi[index],phiL); + vec_store_nta(trK[index],trKL); + vec_store_nta(Xt1[index],Xt1L); + vec_store_nta(Xt2[index],Xt2L); + vec_store_nta(Xt3[index],Xt3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_MP_Minkowski); } -void ML_BSSN_MP_Minkowski(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_MP_Minkowski(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHS1.c b/ML_BSSN_MP/src/ML_BSSN_MP_RHS1.c deleted file mode 100644 index cf59f5f..0000000 --- a/ML_BSSN_MP/src/ML_BSSN_MP_RHS1.c +++ /dev/null @@ -1,1096 +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_MP_RHS1_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_RHS1_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_RHS1_calc_every != ML_BSSN_MP_RHS1_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_MP_RHS1, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1alpha = INITVALUE; - // CCTK_REAL PDstandardNth2alpha = INITVALUE; - // CCTK_REAL PDstandardNth3alpha = INITVALUE; - // CCTK_REAL PDstandardNth11alpha = INITVALUE; - // CCTK_REAL PDstandardNth22alpha = INITVALUE; - // CCTK_REAL PDstandardNth33alpha = INITVALUE; - // CCTK_REAL PDstandardNth12alpha = INITVALUE; - // CCTK_REAL PDstandardNth13alpha = INITVALUE; - // CCTK_REAL PDstandardNth23alpha = INITVALUE; - // CCTK_REAL PDstandardNth1beta1 = INITVALUE; - // CCTK_REAL PDstandardNth2beta1 = INITVALUE; - // CCTK_REAL PDstandardNth3beta1 = INITVALUE; - // CCTK_REAL PDstandardNth11beta1 = INITVALUE; - // CCTK_REAL PDstandardNth22beta1 = INITVALUE; - // CCTK_REAL PDstandardNth33beta1 = INITVALUE; - // CCTK_REAL PDstandardNth12beta1 = INITVALUE; - // CCTK_REAL PDstandardNth13beta1 = INITVALUE; - // CCTK_REAL PDstandardNth23beta1 = INITVALUE; - // CCTK_REAL PDstandardNth1beta2 = INITVALUE; - // CCTK_REAL PDstandardNth2beta2 = INITVALUE; - // CCTK_REAL PDstandardNth3beta2 = INITVALUE; - // CCTK_REAL PDstandardNth11beta2 = INITVALUE; - // CCTK_REAL PDstandardNth22beta2 = INITVALUE; - // CCTK_REAL PDstandardNth33beta2 = INITVALUE; - // CCTK_REAL PDstandardNth12beta2 = INITVALUE; - // CCTK_REAL PDstandardNth13beta2 = INITVALUE; - // CCTK_REAL PDstandardNth23beta2 = INITVALUE; - // CCTK_REAL PDstandardNth1beta3 = INITVALUE; - // CCTK_REAL PDstandardNth2beta3 = INITVALUE; - // CCTK_REAL PDstandardNth3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth11beta3 = INITVALUE; - // CCTK_REAL PDstandardNth22beta3 = INITVALUE; - // CCTK_REAL PDstandardNth33beta3 = INITVALUE; - // CCTK_REAL PDstandardNth12beta3 = INITVALUE; - // CCTK_REAL PDstandardNth13beta3 = INITVALUE; - // CCTK_REAL PDstandardNth23beta3 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth1trK = INITVALUE; - // CCTK_REAL PDstandardNth2trK = INITVALUE; - // CCTK_REAL PDstandardNth3trK = INITVALUE; - - /* Assign local copies of 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 dJ111L = dJ111[index]; - CCTK_REAL dJ112L = dJ112[index]; - CCTK_REAL dJ113L = dJ113[index]; - CCTK_REAL dJ122L = dJ122[index]; - CCTK_REAL dJ123L = dJ123[index]; - CCTK_REAL dJ133L = dJ133[index]; - CCTK_REAL dJ211L = dJ211[index]; - CCTK_REAL dJ212L = dJ212[index]; - CCTK_REAL dJ213L = dJ213[index]; - CCTK_REAL dJ222L = dJ222[index]; - CCTK_REAL dJ223L = dJ223[index]; - CCTK_REAL dJ233L = dJ233[index]; - CCTK_REAL dJ311L = dJ311[index]; - CCTK_REAL dJ312L = dJ312[index]; - CCTK_REAL dJ313L = dJ313[index]; - CCTK_REAL dJ322L = dJ322[index]; - CCTK_REAL dJ323L = dJ323[index]; - CCTK_REAL dJ333L = dJ333[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 J11L = J11[index]; - CCTK_REAL J12L = J12[index]; - CCTK_REAL J13L = J13[index]; - CCTK_REAL J21L = J21[index]; - CCTK_REAL J22L = J22[index]; - CCTK_REAL J23L = J23[index]; - CCTK_REAL J31L = J31[index]; - CCTK_REAL J32L = J32[index]; - CCTK_REAL J33L = J33[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 */ - 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); - CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - CCTK_REAL const PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); - CCTK_REAL const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); - CCTK_REAL const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); - CCTK_REAL const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); - CCTK_REAL const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); - CCTK_REAL const PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); - CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - CCTK_REAL const PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); - CCTK_REAL const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); - CCTK_REAL const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); - CCTK_REAL const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); - CCTK_REAL const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); - CCTK_REAL const PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); - CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - CCTK_REAL const PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); - CCTK_REAL const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); - CCTK_REAL const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); - CCTK_REAL const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); - CCTK_REAL const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); - CCTK_REAL const PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); - 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); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - 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*J11L - gtu21*J12L - - gtu31*J13L)*PDstandardNth1gt11 + (gtu11*J21L - gtu21*J22L - - gtu31*J23L)*PDstandardNth2gt11 + (gtu11*J31L - gtu21*J32L - - gtu31*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu21*PDstandardNth1gt12 + - gtu31*PDstandardNth1gt13) + J21L*(gtu21*PDstandardNth2gt12 + - gtu31*PDstandardNth2gt13) + J31L*(gtu21*PDstandardNth3gt12 + - gtu31*PDstandardNth3gt13))); - - CCTK_REAL Gt211 = khalf*((gtu21*J11L - gtu22*J12L - - gtu32*J13L)*PDstandardNth1gt11 + (gtu21*J21L - gtu22*J22L - - gtu32*J23L)*PDstandardNth2gt11 + (gtu21*J31L - gtu22*J32L - - gtu32*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu22*PDstandardNth1gt12 + - gtu32*PDstandardNth1gt13) + J21L*(gtu22*PDstandardNth2gt12 + - gtu32*PDstandardNth2gt13) + J31L*(gtu22*PDstandardNth3gt12 + - gtu32*PDstandardNth3gt13))); - - CCTK_REAL Gt311 = khalf*((gtu31*J11L - gtu32*J12L - - gtu33*J13L)*PDstandardNth1gt11 + (gtu31*J21L - gtu32*J22L - - gtu33*J23L)*PDstandardNth2gt11 + (gtu31*J31L - gtu32*J32L - - gtu33*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu32*PDstandardNth1gt12 + - gtu33*PDstandardNth1gt13) + J21L*(gtu32*PDstandardNth2gt12 + - gtu33*PDstandardNth2gt13) + J31L*(gtu32*PDstandardNth3gt12 + - gtu33*PDstandardNth3gt13))); - - CCTK_REAL Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + - gtu21*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + - J31L*PDstandardNth3gt22) + gtu31*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - - CCTK_REAL Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + - gtu22*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + - J31L*PDstandardNth3gt22) + gtu32*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - - CCTK_REAL Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + - gtu32*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + - J31L*PDstandardNth3gt22) + gtu33*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - - CCTK_REAL Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + - gtu21*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + - J31L*PDstandardNth3gt23) + gtu31*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - - CCTK_REAL Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + - gtu22*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + - J31L*PDstandardNth3gt23) + gtu32*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - - CCTK_REAL Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + - gtu32*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + - J31L*PDstandardNth3gt23) + gtu33*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - - CCTK_REAL Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + - 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - - J31L*PDstandardNth3gt22) + gtu21*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - - gtu31*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + - J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + - J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - - CCTK_REAL Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + - 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - - J31L*PDstandardNth3gt22) + gtu22*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - - gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + - J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + - J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - - CCTK_REAL Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + - 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - - J31L*PDstandardNth3gt22) + gtu32*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - - gtu33*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + - J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + - J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - - CCTK_REAL Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + - gtu11*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + - J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt23) + gtu31*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - - CCTK_REAL Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + - gtu21*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + - J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt23) + gtu32*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - - CCTK_REAL Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + - gtu31*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + - J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt23) + gtu33*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - - CCTK_REAL Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt33) + gtu21*(-(J12L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - - J32L*PDstandardNth3gt33) + gtu31*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - - CCTK_REAL Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt33) + gtu22*(-(J12L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - - J32L*PDstandardNth3gt33) + gtu32*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - - CCTK_REAL Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt33) + gtu32*(-(J12L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - - J32L*PDstandardNth3gt33) + gtu33*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*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 fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - CCTK_REAL cdphi1 = fac1*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - - CCTK_REAL cdphi2 = fac1*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - - CCTK_REAL cdphi3 = fac1*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - - CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - CCTK_REAL Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; - - CCTK_REAL Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; - - 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 e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - CCTK_REAL em4phi = INV(e4phi); - - 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 trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu21 + - eTxzL*gtu31 + eTyzL*gtu32) + eTzzL*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); - - trKrhsL = PDupwindNth1(trK, i, j, k)*(beta1L*J11L + beta2L*J12L + - beta3L*J13L) + PDupwindNth2(trK, i, j, k)*(beta1L*J21L + beta2L*J22L - + beta3L*J23L) + PDupwindNth3(trK, i, j, k)*(beta1L*J31L + - beta2L*J32L + beta3L*J33L) - em4phi*(2*((gtu21*J11L*J22L + - gtu31*(J13L*J21L + J11L*J23L))*PDstandardNth12alpha + (gtu21*J11L*J32L - + gtu31*(J13L*J31L + J11L*J33L))*PDstandardNth13alpha + - J11L*((gtu21*J12L + gtu31*J13L)*PDstandardNth11alpha + - gtu11*(J21L*PDstandardNth12alpha + J31L*PDstandardNth13alpha)) + - J12L*(gtu32*J13L*PDstandardNth11alpha + - gtu21*(J21L*PDstandardNth12alpha + J31L*PDstandardNth13alpha)) + - (gtu11*J21L*J31L + (gtu22*J22L + gtu32*J23L)*J32L + (gtu32*J22L + - gtu33*J23L)*J33L)*PDstandardNth23alpha + J22L*((gtu22*J12L + - gtu32*J13L)*PDstandardNth12alpha + (gtu21*J21L + - gtu32*J23L)*PDstandardNth22alpha + gtu21*J31L*PDstandardNth23alpha) + - J23L*((gtu32*J12L + gtu33*J13L)*PDstandardNth12alpha + - gtu31*(J21L*PDstandardNth22alpha + J31L*PDstandardNth23alpha)) + - (gtu21*(dJ312L + cdphi2*J31L) + cdphi3*(gtu31*J31L + - gtu32*J32L))*PDstandardNth3alpha + J32L*((gtu22*J12L + - gtu32*J13L)*PDstandardNth13alpha + gtu32*J33L*PDstandardNth33alpha + - gtu21*(J21L*PDstandardNth23alpha + J31L*PDstandardNth33alpha) + - cdphi2*gtu22*PDstandardNth3alpha) + J33L*((gtu32*J12L + - gtu33*J13L)*PDstandardNth13alpha + gtu31*(J21L*PDstandardNth23alpha + - J31L*PDstandardNth33alpha) + (cdphi2*gtu32 + - cdphi3*gtu33)*PDstandardNth3alpha)) + - PDstandardNth1alpha*(gtu11*(dJ111L + 2*cdphi1*J11L) + gtu22*(dJ122L + - 2*cdphi2*J12L) + gtu33*(dJ133L + 2*cdphi3*J13L) + 2*(dJ112L*gtu21 + - dJ113L*gtu31 + dJ123L*gtu32 + cdphi2*gtu21*J11L + cdphi3*gtu31*J11L + - cdphi1*gtu21*J12L + cdphi3*gtu32*J12L + cdphi1*gtu31*J13L + - cdphi2*gtu32*J13L) - J11L*Xtn1 - J12L*Xtn2 - J13L*Xtn3) + - PDstandardNth2alpha*(gtu11*(dJ211L + 2*cdphi1*J21L) + gtu22*(dJ222L + - 2*cdphi2*J22L) + gtu33*(dJ233L + 2*cdphi3*J23L) + 2*(dJ212L*gtu21 + - dJ213L*gtu31 + dJ223L*gtu32 + cdphi2*gtu21*J21L + cdphi3*gtu31*J21L + - cdphi1*gtu21*J22L + cdphi3*gtu32*J22L + cdphi1*gtu31*J23L + - cdphi2*gtu32*J23L) - J21L*Xtn1 - J22L*Xtn2 - J23L*Xtn3) + - PDstandardNth3alpha*(dJ322L*gtu22 + dJ333L*gtu33 + gtu11*(dJ311L + - 2*cdphi1*J31L) + 2*(dJ313L*gtu31 + dJ323L*gtu32 + cdphi1*gtu21*J32L + - cdphi1*gtu31*J33L) - J31L*Xtn1 - J32L*Xtn2 - J33L*Xtn3) + - PDstandardNth11alpha*(gtu11*SQR(J11L) + gtu22*SQR(J12L) + - gtu33*SQR(J13L)) + PDstandardNth22alpha*(gtu11*SQR(J21L) + - gtu22*SQR(J22L) + gtu33*SQR(J23L)) + - PDstandardNth33alpha*(gtu11*SQR(J31L) + gtu22*SQR(J32L) + - gtu33*SQR(J33L))) + alphaL*(2*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) - + 12.56637061435917295385057353311801153679*(rho + trS) + SQR(Atm11) + - SQR(Atm22) + SQR(Atm33) + kthird*SQR(trKL)); - - CCTK_REAL phirhsL = PDupwindNth1(phi, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(phi, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(phi, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - (J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*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*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt11, i, - j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt11, - i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - - gt11L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J11L*(gt11L*PDstandardNth1beta1 + - gt12L*PDstandardNth1beta2 + gt13L*PDstandardNth1beta3) + - J21L*(gt11L*PDstandardNth2beta1 + gt12L*PDstandardNth2beta2 + - gt13L*PDstandardNth2beta3) + J31L*(gt11L*PDstandardNth3beta1 + - gt12L*PDstandardNth3beta2 + gt13L*PDstandardNth3beta3)); - - CCTK_REAL gt12rhsL = -2*alphaL*At12L + PDupwindNth1(gt12, i, j, - k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt12, i, - j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt12, - i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + (gt12L*J11L + - gt11L*J12L)*PDstandardNth1beta1 + (gt22L*J11L + - gt12L*J12L)*PDstandardNth1beta2 + (gt23L*J11L + - gt13L*J12L)*PDstandardNth1beta3 + (gt12L*J21L + - gt11L*J22L)*PDstandardNth2beta1 + (gt22L*J21L + - gt12L*J22L)*PDstandardNth2beta2 + (gt23L*J21L + - gt13L*J22L)*PDstandardNth2beta3 + (gt12L*J31L + - gt11L*J32L)*PDstandardNth3beta1 + (gt22L*J31L + - gt12L*J32L)*PDstandardNth3beta2 + (gt23L*J31L + - gt13L*J32L)*PDstandardNth3beta3 - - gt12L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3); - - CCTK_REAL gt13rhsL = -2*alphaL*At13L + PDupwindNth1(gt13, i, j, - k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt13, i, - j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt13, - i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + (gt13L*J11L + - gt11L*J13L)*PDstandardNth1beta1 + (gt23L*J11L + - gt12L*J13L)*PDstandardNth1beta2 + (gt33L*J11L + - gt13L*J13L)*PDstandardNth1beta3 + (gt13L*J21L + - gt11L*J23L)*PDstandardNth2beta1 + (gt23L*J21L + - gt12L*J23L)*PDstandardNth2beta2 + (gt33L*J21L + - gt13L*J23L)*PDstandardNth2beta3 + (gt13L*J31L + - gt11L*J33L)*PDstandardNth3beta1 + (gt23L*J31L + - gt12L*J33L)*PDstandardNth3beta2 + (gt33L*J31L + - gt13L*J33L)*PDstandardNth3beta3 - - gt13L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3); - - CCTK_REAL gt22rhsL = -2*alphaL*At22L + PDupwindNth1(gt22, i, j, - k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt22, i, - j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt22, - i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - - gt22L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J12L*(gt12L*PDstandardNth1beta1 + - gt22L*PDstandardNth1beta2 + gt23L*PDstandardNth1beta3) + - J22L*(gt12L*PDstandardNth2beta1 + gt22L*PDstandardNth2beta2 + - gt23L*PDstandardNth2beta3) + J32L*(gt12L*PDstandardNth3beta1 + - gt22L*PDstandardNth3beta2 + gt23L*PDstandardNth3beta3)); - - CCTK_REAL gt23rhsL = -2*alphaL*At23L + PDupwindNth1(gt23, i, j, - k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt23, i, - j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt23, - i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + (gt13L*J12L + - gt12L*J13L - gt23L*J11L*ktwothird)*PDstandardNth1beta1 + (gt22L*J13L + - gt23L*J12L*kthird)*PDstandardNth1beta2 + (gt33L*J12L + - gt23L*J13L*kthird)*PDstandardNth1beta3 + (gt13L*J22L + gt12L*J23L - - gt23L*J21L*ktwothird)*PDstandardNth2beta1 + (gt22L*J23L + - gt23L*J22L*kthird)*PDstandardNth2beta2 + (gt33L*J22L + - gt23L*J23L*kthird)*PDstandardNth2beta3 + (gt13L*J32L + gt12L*J33L - - gt23L*J31L*ktwothird)*PDstandardNth3beta1 + (gt22L*J33L + - gt23L*J32L*kthird)*PDstandardNth3beta2 + (gt33L*J32L + - gt23L*J33L*kthird)*PDstandardNth3beta3; - - CCTK_REAL gt33rhsL = -2*alphaL*At33L + PDupwindNth1(gt33, i, j, - k)*(beta1L*J11L + beta2L*J12L + beta3L*J13L) + PDupwindNth2(gt33, i, - j, k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(gt33, - i, j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - - gt33L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J13L*(gt13L*PDstandardNth1beta1 + - gt23L*PDstandardNth1beta2 + gt33L*PDstandardNth1beta3) + - J23L*(gt13L*PDstandardNth2beta1 + gt23L*PDstandardNth2beta2 + - gt33L*PDstandardNth2beta3) + J33L*(gt13L*PDstandardNth3beta1 + - gt23L*PDstandardNth3beta2 + gt33L*PDstandardNth3beta3)); - - Xt1rhsL = PDupwindNth1(Xt1, i, j, k)*(beta1L*J11L + beta2L*J12L + - beta3L*J13L) + PDupwindNth2(Xt1, i, j, k)*(beta1L*J21L + beta2L*J22L - + beta3L*J23L) + PDupwindNth3(Xt1, i, j, k)*(beta1L*J31L + - beta2L*J32L + beta3L*J33L) - 2*((Atu11*J11L + Atu21*J12L + - Atu31*J13L)*PDstandardNth1alpha + (Atu11*J21L + Atu21*J22L + - Atu31*J23L)*PDstandardNth2alpha + (Atu11*J31L + Atu21*J32L + - Atu31*J33L)*PDstandardNth3alpha) + - 2*(gtu21*(J11L*J12L*PDstandardNth11beta1 + - J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + - J12L*J31L*PDstandardNth13beta1 + J11L*J32L*PDstandardNth13beta1 + - dJ112L*PDstandardNth1beta1 + J21L*J22L*PDstandardNth22beta1 + - J22L*J31L*PDstandardNth23beta1 + J21L*J32L*PDstandardNth23beta1 + - dJ212L*PDstandardNth2beta1 + J31L*J32L*PDstandardNth33beta1 + - dJ312L*PDstandardNth3beta1) + gtu31*(J11L*J13L*PDstandardNth11beta1 + - J13L*J21L*PDstandardNth12beta1 + J11L*J23L*PDstandardNth12beta1 + - J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + - dJ113L*PDstandardNth1beta1 + J21L*J23L*PDstandardNth22beta1 + - J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + - dJ213L*PDstandardNth2beta1 + J31L*J33L*PDstandardNth33beta1 + - dJ313L*PDstandardNth3beta1) + gtu32*(J12L*J13L*PDstandardNth11beta1 + - J13L*J22L*PDstandardNth12beta1 + J12L*J23L*PDstandardNth12beta1 + - J13L*J32L*PDstandardNth13beta1 + J12L*J33L*PDstandardNth13beta1 + - dJ123L*PDstandardNth1beta1 + J22L*J23L*PDstandardNth22beta1 + - J23L*J32L*PDstandardNth23beta1 + J22L*J33L*PDstandardNth23beta1 + - dJ223L*PDstandardNth2beta1 + J32L*J33L*PDstandardNth33beta1 + - dJ323L*PDstandardNth3beta1) + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + - Atu31*cdphi3) + Atu11*Gt111 + 2*Atu21*Gt112 + 2*Atu31*Gt113 + - Atu22*Gt122 + 2*Atu32*Gt123 + Atu33*Gt133 - ktwothird*((gtu11*J11L + - gtu21*J12L + gtu31*J13L)*PDstandardNth1trK + (gtu11*J21L + gtu21*J22L + - gtu31*J23L)*PDstandardNth2trK + (gtu11*J31L + gtu21*J32L + - gtu31*J33L)*PDstandardNth3trK))) - - 50.26548245743669181540229413247204614715*alphaL*(gtu11*S1 + gtu21*S2 + - gtu31*S3) + ktwothird*(J11L*PDstandardNth1beta1 + - J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + - J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + - J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + - J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn1 - - PDstandardNth1beta1*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - - PDstandardNth2beta1*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - - PDstandardNth3beta1*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + - gtu11*(2*J11L*J21L*PDstandardNth12beta1 + - 2*J11L*J31L*PDstandardNth13beta1 + dJ111L*PDstandardNth1beta1 + - 2*J21L*J31L*PDstandardNth23beta1 + dJ211L*PDstandardNth2beta1 + - dJ311L*PDstandardNth3beta1 + PDstandardNth11beta1*SQR(J11L) + - PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + - gtu22*(2*J12L*J22L*PDstandardNth12beta1 + - 2*J12L*J32L*PDstandardNth13beta1 + dJ122L*PDstandardNth1beta1 + - 2*J22L*J32L*PDstandardNth23beta1 + dJ222L*PDstandardNth2beta1 + - dJ322L*PDstandardNth3beta1 + PDstandardNth11beta1*SQR(J12L) + - PDstandardNth22beta1*SQR(J22L) + PDstandardNth33beta1*SQR(J32L)) + - gtu33*(2*J13L*J23L*PDstandardNth12beta1 + - 2*J13L*J33L*PDstandardNth13beta1 + dJ133L*PDstandardNth1beta1 + - 2*J23L*J33L*PDstandardNth23beta1 + dJ233L*PDstandardNth2beta1 + - dJ333L*PDstandardNth3beta1 + PDstandardNth11beta1*SQR(J13L) + - PDstandardNth22beta1*SQR(J23L) + PDstandardNth33beta1*SQR(J33L)) + - kthird*(gtu11*(J11L*J12L*PDstandardNth11beta2 + - J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + - J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + - J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + - 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + - J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + - J11L*J33L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta1 + - dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + - J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + - 2*J21L*J31L*PDstandardNth23beta1 + J22L*J31L*PDstandardNth23beta2 + - J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + - J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + - dJ212L*PDstandardNth2beta2 + dJ213L*PDstandardNth2beta3 + - J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + - dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + - dJ313L*PDstandardNth3beta3 + PDstandardNth11beta1*SQR(J11L) + - PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + - gtu21*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 - + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + - 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + - J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + - J11L*J32L*PDstandardNth13beta1 + 2*J12L*J32L*PDstandardNth13beta2 + - J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + - dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + - dJ123L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta1 + - J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + - J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + - J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + - dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + - dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + - J32L*J33L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta1 + - dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + - PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + - PDstandardNth33beta2*SQR(J32L)) + gtu31*(J11L*J13L*PDstandardNth11beta1 - + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + - J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + - J12L*J23L*PDstandardNth12beta2 + 2*J13L*J23L*PDstandardNth12beta3 + - J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + - J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + - 2*J13L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta1 + - dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + - J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + - J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + - J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + - 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + - dJ223L*PDstandardNth2beta2 + dJ233L*PDstandardNth2beta3 + - J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + - dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + - dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + - PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); - - Xt2rhsL = PDupwindNth1(Xt2, i, j, k)*(beta1L*J11L + beta2L*J12L + - beta3L*J13L) + PDupwindNth2(Xt2, i, j, k)*(beta1L*J21L + beta2L*J22L - + beta3L*J23L) + PDupwindNth3(Xt2, i, j, k)*(beta1L*J31L + - beta2L*J32L + beta3L*J33L) - 2*((Atu21*J11L + Atu22*J12L + - Atu32*J13L)*PDstandardNth1alpha + (Atu21*J21L + Atu22*J22L + - Atu32*J23L)*PDstandardNth2alpha + (Atu21*J31L + Atu22*J32L + - Atu32*J33L)*PDstandardNth3alpha) + - 2*(gtu21*(J11L*J12L*PDstandardNth11beta2 + - J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + - J12L*J31L*PDstandardNth13beta2 + J11L*J32L*PDstandardNth13beta2 + - dJ112L*PDstandardNth1beta2 + J21L*J22L*PDstandardNth22beta2 + - J22L*J31L*PDstandardNth23beta2 + J21L*J32L*PDstandardNth23beta2 + - dJ212L*PDstandardNth2beta2 + J31L*J32L*PDstandardNth33beta2 + - dJ312L*PDstandardNth3beta2) + gtu31*(J11L*J13L*PDstandardNth11beta2 + - J13L*J21L*PDstandardNth12beta2 + J11L*J23L*PDstandardNth12beta2 + - J13L*J31L*PDstandardNth13beta2 + J11L*J33L*PDstandardNth13beta2 + - dJ113L*PDstandardNth1beta2 + J21L*J23L*PDstandardNth22beta2 + - J23L*J31L*PDstandardNth23beta2 + J21L*J33L*PDstandardNth23beta2 + - dJ213L*PDstandardNth2beta2 + J31L*J33L*PDstandardNth33beta2 + - dJ313L*PDstandardNth3beta2) + gtu32*(J12L*J13L*PDstandardNth11beta2 + - J13L*J22L*PDstandardNth12beta2 + J12L*J23L*PDstandardNth12beta2 + - J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + - dJ123L*PDstandardNth1beta2 + J22L*J23L*PDstandardNth22beta2 + - J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + - dJ223L*PDstandardNth2beta2 + J32L*J33L*PDstandardNth33beta2 + - dJ323L*PDstandardNth3beta2) + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + - Atu32*cdphi3) + Atu11*Gt211 + 2*Atu21*Gt212 + 2*Atu31*Gt213 + - Atu22*Gt222 + 2*Atu32*Gt223 + Atu33*Gt233 - ktwothird*((gtu21*J11L + - gtu22*J12L + gtu32*J13L)*PDstandardNth1trK + (gtu21*J21L + gtu22*J22L + - gtu32*J23L)*PDstandardNth2trK + (gtu21*J31L + gtu22*J32L + - gtu32*J33L)*PDstandardNth3trK))) - - 50.26548245743669181540229413247204614715*alphaL*(gtu21*S1 + gtu22*S2 + - gtu32*S3) + ktwothird*(J11L*PDstandardNth1beta1 + - J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + - J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + - J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + - J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn2 - - PDstandardNth1beta2*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - - PDstandardNth2beta2*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - - PDstandardNth3beta2*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + - gtu11*(2*J11L*J21L*PDstandardNth12beta2 + - 2*J11L*J31L*PDstandardNth13beta2 + dJ111L*PDstandardNth1beta2 + - 2*J21L*J31L*PDstandardNth23beta2 + dJ211L*PDstandardNth2beta2 + - dJ311L*PDstandardNth3beta2 + PDstandardNth11beta2*SQR(J11L) + - PDstandardNth22beta2*SQR(J21L) + PDstandardNth33beta2*SQR(J31L)) + - gtu22*(2*J12L*J22L*PDstandardNth12beta2 + - 2*J12L*J32L*PDstandardNth13beta2 + dJ122L*PDstandardNth1beta2 + - 2*J22L*J32L*PDstandardNth23beta2 + dJ222L*PDstandardNth2beta2 + - dJ322L*PDstandardNth3beta2 + PDstandardNth11beta2*SQR(J12L) + - PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + - gtu33*(2*J13L*J23L*PDstandardNth12beta2 + - 2*J13L*J33L*PDstandardNth13beta2 + dJ133L*PDstandardNth1beta2 + - 2*J23L*J33L*PDstandardNth23beta2 + dJ233L*PDstandardNth2beta2 + - dJ333L*PDstandardNth3beta2 + PDstandardNth11beta2*SQR(J13L) + - PDstandardNth22beta2*SQR(J23L) + PDstandardNth33beta2*SQR(J33L)) + - kthird*(gtu21*(J11L*J12L*PDstandardNth11beta2 + - J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + - J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + - J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + - 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + - J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + - J11L*J33L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta1 + - dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + - J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + - 2*J21L*J31L*PDstandardNth23beta1 + J22L*J31L*PDstandardNth23beta2 + - J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + - J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + - dJ212L*PDstandardNth2beta2 + dJ213L*PDstandardNth2beta3 + - J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + - dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + - dJ313L*PDstandardNth3beta3 + PDstandardNth11beta1*SQR(J11L) + - PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + - gtu22*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 - + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + - 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + - J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + - J11L*J32L*PDstandardNth13beta1 + 2*J12L*J32L*PDstandardNth13beta2 + - J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + - dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + - dJ123L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta1 + - J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + - J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + - J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + - dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + - dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + - J32L*J33L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta1 + - dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + - PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + - PDstandardNth33beta2*SQR(J32L)) + gtu32*(J11L*J13L*PDstandardNth11beta1 - + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + - J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + - J12L*J23L*PDstandardNth12beta2 + 2*J13L*J23L*PDstandardNth12beta3 + - J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + - J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + - 2*J13L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta1 + - dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + - J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + - J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + - J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + - 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + - dJ223L*PDstandardNth2beta2 + dJ233L*PDstandardNth2beta3 + - J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + - dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + - dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + - PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); - - Xt3rhsL = PDupwindNth1(Xt3, i, j, k)*(beta1L*J11L + beta2L*J12L + - beta3L*J13L) + PDupwindNth2(Xt3, i, j, k)*(beta1L*J21L + beta2L*J22L - + beta3L*J23L) + PDupwindNth3(Xt3, i, j, k)*(beta1L*J31L + - beta2L*J32L + beta3L*J33L) - 2*((Atu31*J11L + Atu32*J12L + - Atu33*J13L)*PDstandardNth1alpha + (Atu31*J21L + Atu32*J22L + - Atu33*J23L)*PDstandardNth2alpha + (Atu31*J31L + Atu32*J32L + - Atu33*J33L)*PDstandardNth3alpha) + - 2*(gtu21*(J11L*J12L*PDstandardNth11beta3 + - J12L*J21L*PDstandardNth12beta3 + J11L*J22L*PDstandardNth12beta3 + - J12L*J31L*PDstandardNth13beta3 + J11L*J32L*PDstandardNth13beta3 + - dJ112L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta3 + - J22L*J31L*PDstandardNth23beta3 + J21L*J32L*PDstandardNth23beta3 + - dJ212L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta3 + - dJ312L*PDstandardNth3beta3) + gtu31*(J11L*J13L*PDstandardNth11beta3 + - J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + - J13L*J31L*PDstandardNth13beta3 + J11L*J33L*PDstandardNth13beta3 + - dJ113L*PDstandardNth1beta3 + J21L*J23L*PDstandardNth22beta3 + - J23L*J31L*PDstandardNth23beta3 + J21L*J33L*PDstandardNth23beta3 + - dJ213L*PDstandardNth2beta3 + J31L*J33L*PDstandardNth33beta3 + - dJ313L*PDstandardNth3beta3) + gtu32*(J12L*J13L*PDstandardNth11beta3 + - J13L*J22L*PDstandardNth12beta3 + J12L*J23L*PDstandardNth12beta3 + - J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + - dJ123L*PDstandardNth1beta3 + J22L*J23L*PDstandardNth22beta3 + - J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + - dJ223L*PDstandardNth2beta3 + J32L*J33L*PDstandardNth33beta3 + - dJ323L*PDstandardNth3beta3) + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + - Atu33*cdphi3) + Atu11*Gt311 + 2*Atu21*Gt312 + 2*Atu31*Gt313 + - Atu22*Gt322 + 2*Atu32*Gt323 + Atu33*Gt333 - ktwothird*((gtu31*J11L + - gtu32*J12L + gtu33*J13L)*PDstandardNth1trK + (gtu31*J21L + gtu32*J22L + - gtu33*J23L)*PDstandardNth2trK + (gtu31*J31L + gtu32*J32L + - gtu33*J33L)*PDstandardNth3trK))) - - 50.26548245743669181540229413247204614715*alphaL*(gtu31*S1 + gtu32*S2 + - gtu33*S3) + ktwothird*(J11L*PDstandardNth1beta1 + - J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + - J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + - J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + - J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn3 - - PDstandardNth1beta3*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - - PDstandardNth2beta3*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - - PDstandardNth3beta3*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + - gtu11*(2*J11L*J21L*PDstandardNth12beta3 + - 2*J11L*J31L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta3 + - 2*J21L*J31L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta3 + - dJ311L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J11L) + - PDstandardNth22beta3*SQR(J21L) + PDstandardNth33beta3*SQR(J31L)) + - gtu22*(2*J12L*J22L*PDstandardNth12beta3 + - 2*J12L*J32L*PDstandardNth13beta3 + dJ122L*PDstandardNth1beta3 + - 2*J22L*J32L*PDstandardNth23beta3 + dJ222L*PDstandardNth2beta3 + - dJ322L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J12L) + - PDstandardNth22beta3*SQR(J22L) + PDstandardNth33beta3*SQR(J32L)) + - gtu33*(2*J13L*J23L*PDstandardNth12beta3 + - 2*J13L*J33L*PDstandardNth13beta3 + dJ133L*PDstandardNth1beta3 + - 2*J23L*J33L*PDstandardNth23beta3 + dJ233L*PDstandardNth2beta3 + - dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + - PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L)) + - kthird*(gtu31*(J11L*J12L*PDstandardNth11beta2 + - J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + - J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + - J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + - 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + - J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + - J11L*J33L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta1 + - dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + - J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + - 2*J21L*J31L*PDstandardNth23beta1 + J22L*J31L*PDstandardNth23beta2 + - J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + - J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + - dJ212L*PDstandardNth2beta2 + dJ213L*PDstandardNth2beta3 + - J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + - dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + - dJ313L*PDstandardNth3beta3 + PDstandardNth11beta1*SQR(J11L) + - PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + - gtu32*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 - + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + - 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + - J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + - J11L*J32L*PDstandardNth13beta1 + 2*J12L*J32L*PDstandardNth13beta2 + - J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + - dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + - dJ123L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta1 + - J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + - J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + - J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + - dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + - dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + - J32L*J33L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta1 + - dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + - PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + - PDstandardNth33beta2*SQR(J32L)) + gtu33*(J11L*J13L*PDstandardNth11beta1 - + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + - J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + - J12L*J23L*PDstandardNth12beta2 + 2*J13L*J23L*PDstandardNth12beta3 + - J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + - J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + - 2*J13L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta1 + - dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + - J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + - J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + - J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + - 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + - dJ223L*PDstandardNth2beta2 + dJ233L*PDstandardNth2beta3 + - J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + - dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + - dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + - PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); - - CCTK_REAL eta = BetaDriver*IfThen(rL > - SpatialBetaDriverRadius,SpatialBetaDriverRadius*INV(rL),1); - - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); - - CCTK_REAL alpharhsL = (PDupwindNth1(alpha, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(alpha, i, j, - k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(alpha, i, - j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*LapseAdvectionCoeff + - harmonicF*(AL*(-1 + LapseAdvectionCoeff) - - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - - CCTK_REAL ArhsL = (-1 + LapseAdvectionCoeff)*(AL*AlphaDriver - - trKrhsL); - - CCTK_REAL beta1rhsL = (PDupwindNth1(beta1, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta1, i, j, - k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta1, i, - j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + - B1L*ShiftGammaCoeff*theta; - - CCTK_REAL beta2rhsL = (PDupwindNth1(beta2, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta2, i, j, - k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta2, i, - j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + - B2L*ShiftGammaCoeff*theta; - - CCTK_REAL beta3rhsL = (PDupwindNth1(beta3, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta3, i, j, - k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta3, i, - j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + - B3L*ShiftGammaCoeff*theta; - - CCTK_REAL B1rhsL = -(B1L*eta) + (beta1L*((PDupwindNth1(B1, i, j, k) - - PDupwindNth1(Xt1, i, j, k))*J11L + (PDupwindNth2(B1, i, j, k) - - PDupwindNth2(Xt1, i, j, k))*J21L + (PDupwindNth3(B1, i, j, k) - - PDupwindNth3(Xt1, i, j, k))*J31L) + beta2L*((PDupwindNth1(B1, i, j, - k) - PDupwindNth1(Xt1, i, j, k))*J12L + (PDupwindNth2(B1, i, j, k) - - PDupwindNth2(Xt1, i, j, k))*J22L + (PDupwindNth3(B1, i, j, k) - - PDupwindNth3(Xt1, i, j, k))*J32L) + beta3L*((PDupwindNth1(B1, i, j, - k) - PDupwindNth1(Xt1, i, j, k))*J13L + (PDupwindNth2(B1, i, j, k) - - PDupwindNth2(Xt1, i, j, k))*J23L + (PDupwindNth3(B1, i, j, k) - - PDupwindNth3(Xt1, i, j, k))*J33L))*ShiftAdvectionCoeff + Xt1rhsL; - - CCTK_REAL B2rhsL = -(B2L*eta) + (beta1L*((PDupwindNth1(B2, i, j, k) - - PDupwindNth1(Xt2, i, j, k))*J11L + (PDupwindNth2(B2, i, j, k) - - PDupwindNth2(Xt2, i, j, k))*J21L + (PDupwindNth3(B2, i, j, k) - - PDupwindNth3(Xt2, i, j, k))*J31L) + beta2L*((PDupwindNth1(B2, i, j, - k) - PDupwindNth1(Xt2, i, j, k))*J12L + (PDupwindNth2(B2, i, j, k) - - PDupwindNth2(Xt2, i, j, k))*J22L + (PDupwindNth3(B2, i, j, k) - - PDupwindNth3(Xt2, i, j, k))*J32L) + beta3L*((PDupwindNth1(B2, i, j, - k) - PDupwindNth1(Xt2, i, j, k))*J13L + (PDupwindNth2(B2, i, j, k) - - PDupwindNth2(Xt2, i, j, k))*J23L + (PDupwindNth3(B2, i, j, k) - - PDupwindNth3(Xt2, i, j, k))*J33L))*ShiftAdvectionCoeff + Xt2rhsL; - - CCTK_REAL B3rhsL = -(B3L*eta) + (beta1L*((PDupwindNth1(B3, i, j, k) - - PDupwindNth1(Xt3, i, j, k))*J11L + (PDupwindNth2(B3, i, j, k) - - PDupwindNth2(Xt3, i, j, k))*J21L + (PDupwindNth3(B3, i, j, k) - - PDupwindNth3(Xt3, i, j, k))*J31L) + beta2L*((PDupwindNth1(B3, i, j, - k) - PDupwindNth1(Xt3, i, j, k))*J12L + (PDupwindNth2(B3, i, j, k) - - PDupwindNth2(Xt3, i, j, k))*J22L + (PDupwindNth3(B3, i, j, k) - - PDupwindNth3(Xt3, i, j, k))*J32L) + beta3L*((PDupwindNth1(B3, i, j, - k) - PDupwindNth1(Xt3, i, j, k))*J13L + (PDupwindNth2(B3, i, j, k) - - PDupwindNth2(Xt3, i, j, k))*J23L + (PDupwindNth3(B3, i, j, k) - - PDupwindNth3(Xt3, i, j, k))*J33L))*ShiftAdvectionCoeff + Xt3rhsL; - - - /* Copy local copies back to grid functions */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - } - LC_ENDLOOP3 (ML_BSSN_MP_RHS1); -} - -void ML_BSSN_MP_RHS1(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_RHS1_Body); -} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHS1.cc b/ML_BSSN_MP/src/ML_BSSN_MP_RHS1.cc new file mode 100644 index 0000000..d5d80d6 --- /dev/null +++ b/ML_BSSN_MP/src/ML_BSSN_MP_RHS1.cc @@ -0,0 +1,1627 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_MP_RHS1_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_RHS1_Body"); + } + + if (cctk_iteration % ML_BSSN_MP_RHS1_calc_every != ML_BSSN_MP_RHS1_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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; + 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_MP_RHS1, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDdissipationNth1A = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2A = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3A = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1B1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2B1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3B1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1B2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2B2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3B2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1B3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2B3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3B3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23beta1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1beta1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2beta1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23beta2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1beta2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2beta2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23beta3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1beta3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2beta3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3phi = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1phi = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2phi = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC dJ111L = vec_load(dJ111[index]); + CCTK_REAL_VEC dJ112L = vec_load(dJ112[index]); + CCTK_REAL_VEC dJ113L = vec_load(dJ113[index]); + CCTK_REAL_VEC dJ122L = vec_load(dJ122[index]); + CCTK_REAL_VEC dJ123L = vec_load(dJ123[index]); + CCTK_REAL_VEC dJ133L = vec_load(dJ133[index]); + CCTK_REAL_VEC dJ211L = vec_load(dJ211[index]); + CCTK_REAL_VEC dJ212L = vec_load(dJ212[index]); + CCTK_REAL_VEC dJ213L = vec_load(dJ213[index]); + CCTK_REAL_VEC dJ222L = vec_load(dJ222[index]); + CCTK_REAL_VEC dJ223L = vec_load(dJ223[index]); + CCTK_REAL_VEC dJ233L = vec_load(dJ233[index]); + CCTK_REAL_VEC dJ311L = vec_load(dJ311[index]); + CCTK_REAL_VEC dJ312L = vec_load(dJ312[index]); + CCTK_REAL_VEC dJ313L = vec_load(dJ313[index]); + CCTK_REAL_VEC dJ322L = vec_load(dJ322[index]); + CCTK_REAL_VEC dJ323L = vec_load(dJ323[index]); + CCTK_REAL_VEC dJ333L = vec_load(dJ333[index]); + CCTK_REAL_VEC eTttL = (*stress_energy_state) ? vec_load(eTtt[index]) : 0.0; + CCTK_REAL_VEC eTtxL = (*stress_energy_state) ? vec_load(eTtx[index]) : 0.0; + CCTK_REAL_VEC eTtyL = (*stress_energy_state) ? vec_load(eTty[index]) : 0.0; + CCTK_REAL_VEC eTtzL = (*stress_energy_state) ? vec_load(eTtz[index]) : 0.0; + CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; + CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; + CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; + CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; + CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; + CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC J11L = vec_load(J11[index]); + CCTK_REAL_VEC J12L = vec_load(J12[index]); + CCTK_REAL_VEC J13L = vec_load(J13[index]); + CCTK_REAL_VEC J21L = vec_load(J21[index]); + CCTK_REAL_VEC J22L = vec_load(J22[index]); + CCTK_REAL_VEC J23L = vec_load(J23[index]); + CCTK_REAL_VEC J31L = vec_load(J31[index]); + CCTK_REAL_VEC J32L = vec_load(J32[index]); + CCTK_REAL_VEC J33L = vec_load(J33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDdissipationNth1A = PDdissipationNth1(A, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2A = PDdissipationNth2(A, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3A = PDdissipationNth3(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1A = PDupwindNthAnti1(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1A = PDupwindNthSymm1(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2A = PDupwindNthAnti2(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2A = PDupwindNthSymm2(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3A = PDupwindNthAnti3(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3A = PDupwindNthSymm3(A, i, j, k); + CCTK_REAL_VEC const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1alpha = PDdissipationNth1(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2alpha = PDdissipationNth2(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3alpha = PDdissipationNth3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1B1 = PDdissipationNth1(B1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2B1 = PDdissipationNth2(B1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3B1 = PDdissipationNth3(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1B1 = PDupwindNthAnti1(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1B1 = PDupwindNthSymm1(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2B1 = PDupwindNthAnti2(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2B1 = PDupwindNthSymm2(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3B1 = PDupwindNthAnti3(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3B1 = PDupwindNthSymm3(B1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1B2 = PDdissipationNth1(B2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2B2 = PDdissipationNth2(B2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3B2 = PDdissipationNth3(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1B2 = PDupwindNthAnti1(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1B2 = PDupwindNthSymm1(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2B2 = PDupwindNthAnti2(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2B2 = PDupwindNthSymm2(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3B2 = PDupwindNthAnti3(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3B2 = PDupwindNthSymm3(B2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1B3 = PDdissipationNth1(B3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2B3 = PDdissipationNth2(B3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3B3 = PDdissipationNth3(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1B3 = PDupwindNthAnti1(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1B3 = PDupwindNthSymm1(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2B3 = PDupwindNthAnti2(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2B3 = PDupwindNthSymm2(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3B3 = PDupwindNthAnti3(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3B3 = PDupwindNthSymm3(B3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1beta1 = PDdissipationNth1(beta1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2beta1 = PDdissipationNth2(beta1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3beta1 = PDdissipationNth3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1beta2 = PDdissipationNth1(beta2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2beta2 = PDdissipationNth2(beta2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3beta2 = PDdissipationNth3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1beta3 = PDdissipationNth1(beta3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2beta3 = PDdissipationNth2(beta3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3beta3 = PDdissipationNth3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt11 = PDdissipationNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt11 = PDdissipationNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt11 = PDdissipationNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt11 = PDupwindNthAnti1(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt11 = PDupwindNthSymm1(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt11 = PDupwindNthAnti2(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt11 = PDupwindNthSymm2(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt11 = PDupwindNthAnti3(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt11 = PDupwindNthSymm3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt12 = PDdissipationNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt12 = PDdissipationNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt12 = PDdissipationNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt12 = PDupwindNthAnti1(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt12 = PDupwindNthSymm1(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt12 = PDupwindNthAnti2(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt12 = PDupwindNthSymm2(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt12 = PDupwindNthAnti3(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt12 = PDupwindNthSymm3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt13 = PDdissipationNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt13 = PDdissipationNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt13 = PDdissipationNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt13 = PDupwindNthAnti1(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt13 = PDupwindNthSymm1(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt13 = PDupwindNthAnti2(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt13 = PDupwindNthSymm2(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt13 = PDupwindNthAnti3(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt13 = PDupwindNthSymm3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt22 = PDdissipationNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt22 = PDdissipationNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt22 = PDdissipationNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt22 = PDupwindNthAnti1(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt22 = PDupwindNthSymm1(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt22 = PDupwindNthAnti2(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt22 = PDupwindNthSymm2(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt22 = PDupwindNthAnti3(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt22 = PDupwindNthSymm3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt23 = PDdissipationNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt23 = PDdissipationNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt23 = PDdissipationNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt23 = PDupwindNthAnti1(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt23 = PDupwindNthSymm1(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt23 = PDupwindNthAnti2(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt23 = PDupwindNthSymm2(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt23 = PDupwindNthAnti3(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt23 = PDupwindNthSymm3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt33 = PDdissipationNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt33 = PDdissipationNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt33 = PDdissipationNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt33 = PDupwindNthAnti1(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt33 = PDupwindNthSymm1(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt33 = PDupwindNthAnti2(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt33 = PDupwindNthSymm2(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt33 = PDupwindNthAnti3(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt33 = PDupwindNthSymm3(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1phi = PDdissipationNth1(phi, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2phi = PDdissipationNth2(phi, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3phi = PDdissipationNth3(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1phi = PDupwindNthAnti1(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1phi = PDupwindNthSymm1(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2phi = PDupwindNthAnti2(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2phi = PDupwindNthSymm2(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3phi = PDupwindNthAnti3(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3phi = PDupwindNthSymm3(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1trK = PDdissipationNth1(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2trK = PDdissipationNth2(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3trK = PDdissipationNth3(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1trK = PDupwindNthAnti1(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1trK = PDupwindNthSymm1(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2trK = PDupwindNthAnti2(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2trK = PDupwindNthSymm2(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3trK = PDupwindNthAnti3(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3trK = PDupwindNthSymm3(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1Xt1 = PDdissipationNth1(Xt1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2Xt1 = PDdissipationNth2(Xt1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3Xt1 = PDdissipationNth3(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1Xt1 = PDupwindNthAnti1(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1Xt1 = PDupwindNthSymm1(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2Xt1 = PDupwindNthAnti2(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2Xt1 = PDupwindNthSymm2(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3Xt1 = PDupwindNthAnti3(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3Xt1 = PDupwindNthSymm3(Xt1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1Xt2 = PDdissipationNth1(Xt2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2Xt2 = PDdissipationNth2(Xt2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3Xt2 = PDdissipationNth3(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1Xt2 = PDupwindNthAnti1(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1Xt2 = PDupwindNthSymm1(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2Xt2 = PDupwindNthAnti2(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2Xt2 = PDupwindNthSymm2(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3Xt2 = PDupwindNthAnti3(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3Xt2 = PDupwindNthSymm3(Xt2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1Xt3 = PDdissipationNth1(Xt3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2Xt3 = PDdissipationNth2(Xt3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3Xt3 = PDdissipationNth3(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1Xt3 = PDupwindNthAnti1(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1Xt3 = PDupwindNthSymm1(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2Xt3 = PDupwindNthAnti2(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2Xt3 = PDupwindNthSymm2(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3Xt3 = PDupwindNthAnti3(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3Xt3 = PDupwindNthSymm3(Xt3, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC epsdiss1 = EpsDiss; + + CCTK_REAL_VEC epsdiss2 = EpsDiss; + + CCTK_REAL_VEC epsdiss3 = EpsDiss; + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC Gt111 = khalf*((gtu11*J11L - gtu21*J12L - + gtu31*J13L)*PDstandardNth1gt11 + (gtu11*J21L - gtu21*J22L - + gtu31*J23L)*PDstandardNth2gt11 + (gtu11*J31L - gtu21*J32L - + gtu31*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu21*PDstandardNth1gt12 + + gtu31*PDstandardNth1gt13) + J21L*(gtu21*PDstandardNth2gt12 + + gtu31*PDstandardNth2gt13) + J31L*(gtu21*PDstandardNth3gt12 + + gtu31*PDstandardNth3gt13))); + + CCTK_REAL_VEC Gt211 = khalf*((gtu21*J11L - gtu22*J12L - + gtu32*J13L)*PDstandardNth1gt11 + (gtu21*J21L - gtu22*J22L - + gtu32*J23L)*PDstandardNth2gt11 + (gtu21*J31L - gtu22*J32L - + gtu32*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu22*PDstandardNth1gt12 + + gtu32*PDstandardNth1gt13) + J21L*(gtu22*PDstandardNth2gt12 + + gtu32*PDstandardNth2gt13) + J31L*(gtu22*PDstandardNth3gt12 + + gtu32*PDstandardNth3gt13))); + + CCTK_REAL_VEC Gt311 = khalf*((gtu31*J11L - gtu32*J12L - + gtu33*J13L)*PDstandardNth1gt11 + (gtu31*J21L - gtu32*J22L - + gtu33*J23L)*PDstandardNth2gt11 + (gtu31*J31L - gtu32*J32L - + gtu33*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu32*PDstandardNth1gt12 + + gtu33*PDstandardNth1gt13) + J21L*(gtu32*PDstandardNth2gt12 + + gtu33*PDstandardNth2gt13) + J31L*(gtu32*PDstandardNth3gt12 + + gtu33*PDstandardNth3gt13))); + + CCTK_REAL_VEC Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + gtu21*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + + J31L*PDstandardNth3gt22) + gtu31*(-(J13L*PDstandardNth1gt12) + + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); + + CCTK_REAL_VEC Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + gtu22*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + + J31L*PDstandardNth3gt22) + gtu32*(-(J13L*PDstandardNth1gt12) + + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); + + CCTK_REAL_VEC Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + gtu32*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + + J31L*PDstandardNth3gt22) + gtu33*(-(J13L*PDstandardNth1gt12) + + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); + + CCTK_REAL_VEC Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + gtu21*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23) + gtu31*(J11L*PDstandardNth1gt33 + + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + gtu22*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23) + gtu32*(J11L*PDstandardNth1gt33 + + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + gtu32*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23) + gtu33*(J11L*PDstandardNth1gt33 + + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - + J31L*PDstandardNth3gt22) + gtu21*(J12L*PDstandardNth1gt22 + + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - + gtu31*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - + J31L*PDstandardNth3gt22) + gtu22*(J12L*PDstandardNth1gt22 + + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - + gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - + J31L*PDstandardNth3gt22) + gtu32*(J12L*PDstandardNth1gt22 + + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - + gtu33*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); + + CCTK_REAL_VEC Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + gtu11*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt23) + gtu31*(J12L*PDstandardNth1gt33 + + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + gtu21*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt23) + gtu32*(J12L*PDstandardNth1gt33 + + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + gtu31*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt23) + gtu33*(J12L*PDstandardNth1gt33 + + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt33) + gtu21*(-(J12L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - + J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - + J32L*PDstandardNth3gt33) + gtu31*(J13L*PDstandardNth1gt33 + + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt33) + gtu22*(-(J12L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - + J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - + J32L*PDstandardNth3gt33) + gtu32*(J13L*PDstandardNth1gt33 + + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt33) + gtu32*(-(J12L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - + J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - + J32L*PDstandardNth3gt33) + gtu33*(J13L*PDstandardNth1gt33 + + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL_VEC Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL_VEC Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL_VEC fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL_VEC cdphi1 = fac1*(J11L*PDstandardNth1phi + + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi2 = fac1*(J12L*PDstandardNth1phi + + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi3 = fac1*(J13L*PDstandardNth1phi + + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); + + CCTK_REAL_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL_VEC Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + + CCTK_REAL_VEC Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; + + CCTK_REAL_VEC Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + + CCTK_REAL_VEC Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; + + CCTK_REAL_VEC Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; + + CCTK_REAL_VEC Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; + + CCTK_REAL_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL_VEC em4phi = INV(e4phi); + + CCTK_REAL_VEC 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_VEC S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + + beta3L*eTxzL)*INV(alphaL); + + CCTK_REAL_VEC S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + + beta3L*eTyzL)*INV(alphaL); + + CCTK_REAL_VEC S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + + beta3L*eTzzL)*INV(alphaL); + + CCTK_REAL_VEC trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu21 + + eTxzL*gtu31 + eTyzL*gtu32) + eTzzL*gtu33); + + CCTK_REAL_VEC phirhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1phi + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2phi + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3phi + (beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1phi + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2phi + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3phi + (J11L*PDupwindNthSymm1phi + + J21L*PDupwindNthSymm2phi + J31L*PDupwindNthSymm3phi)*Abs(beta1L) + + (J12L*PDupwindNthSymm1phi + J22L*PDupwindNthSymm2phi + + J32L*PDupwindNthSymm3phi)*Abs(beta2L) + (J13L*PDupwindNthSymm1phi + + J23L*PDupwindNthSymm2phi + J33L*PDupwindNthSymm3phi)*Abs(beta3L) + + (J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3)*IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); + + CCTK_REAL_VEC gt11rhsL = -2*alphaL*At11L + (epsdiss1*J11L + + epsdiss2*J12L + epsdiss3*J13L)*PDdissipationNth1gt11 + (epsdiss1*J21L + + epsdiss2*J22L + epsdiss3*J23L)*PDdissipationNth2gt11 + (epsdiss1*J31L + + epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3gt11 - + gt11L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3) + 2*(J11L*(gt11L*PDstandardNth1beta1 + + gt12L*PDstandardNth1beta2 + gt13L*PDstandardNth1beta3) + + J21L*(gt11L*PDstandardNth2beta1 + gt12L*PDstandardNth2beta2 + + gt13L*PDstandardNth2beta3) + J31L*(gt11L*PDstandardNth3beta1 + + gt12L*PDstandardNth3beta2 + gt13L*PDstandardNth3beta3)) + (beta1L*J11L + + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1gt11 + (beta1L*J21L + + beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2gt11 + (beta1L*J31L + + beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3gt11 + + (J11L*PDupwindNthSymm1gt11 + J21L*PDupwindNthSymm2gt11 + + J31L*PDupwindNthSymm3gt11)*Abs(beta1L) + (J12L*PDupwindNthSymm1gt11 + + J22L*PDupwindNthSymm2gt11 + J32L*PDupwindNthSymm3gt11)*Abs(beta2L) + + (J13L*PDupwindNthSymm1gt11 + J23L*PDupwindNthSymm2gt11 + + J33L*PDupwindNthSymm3gt11)*Abs(beta3L); + + CCTK_REAL_VEC gt12rhsL = -2*alphaL*At12L + (epsdiss1*J11L + + epsdiss2*J12L + epsdiss3*J13L)*PDdissipationNth1gt12 + (epsdiss1*J21L + + epsdiss2*J22L + epsdiss3*J23L)*PDdissipationNth2gt12 + (epsdiss1*J31L + + epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3gt12 + (gt12L*J11L + + gt11L*J12L)*PDstandardNth1beta1 + (gt22L*J11L + + gt12L*J12L)*PDstandardNth1beta2 + (gt23L*J11L + + gt13L*J12L)*PDstandardNth1beta3 + (gt12L*J21L + + gt11L*J22L)*PDstandardNth2beta1 + (gt22L*J21L + + gt12L*J22L)*PDstandardNth2beta2 + (gt23L*J21L + + gt13L*J22L)*PDstandardNth2beta3 + (gt12L*J31L + + gt11L*J32L)*PDstandardNth3beta1 + (gt22L*J31L + + gt12L*J32L)*PDstandardNth3beta2 + (gt23L*J31L + + gt13L*J32L)*PDstandardNth3beta3 - + gt12L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3) + (beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1gt12 + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2gt12 + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3gt12 + (J11L*PDupwindNthSymm1gt12 + + J21L*PDupwindNthSymm2gt12 + J31L*PDupwindNthSymm3gt12)*Abs(beta1L) + + (J12L*PDupwindNthSymm1gt12 + J22L*PDupwindNthSymm2gt12 + + J32L*PDupwindNthSymm3gt12)*Abs(beta2L) + (J13L*PDupwindNthSymm1gt12 + + J23L*PDupwindNthSymm2gt12 + J33L*PDupwindNthSymm3gt12)*Abs(beta3L); + + CCTK_REAL_VEC gt13rhsL = -2*alphaL*At13L + (epsdiss1*J11L + + epsdiss2*J12L + epsdiss3*J13L)*PDdissipationNth1gt13 + (epsdiss1*J21L + + epsdiss2*J22L + epsdiss3*J23L)*PDdissipationNth2gt13 + (epsdiss1*J31L + + epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3gt13 + (gt13L*J11L + + gt11L*J13L)*PDstandardNth1beta1 + (gt23L*J11L + + gt12L*J13L)*PDstandardNth1beta2 + (gt33L*J11L + + gt13L*J13L)*PDstandardNth1beta3 + (gt13L*J21L + + gt11L*J23L)*PDstandardNth2beta1 + (gt23L*J21L + + gt12L*J23L)*PDstandardNth2beta2 + (gt33L*J21L + + gt13L*J23L)*PDstandardNth2beta3 + (gt13L*J31L + + gt11L*J33L)*PDstandardNth3beta1 + (gt23L*J31L + + gt12L*J33L)*PDstandardNth3beta2 + (gt33L*J31L + + gt13L*J33L)*PDstandardNth3beta3 - + gt13L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3) + (beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1gt13 + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2gt13 + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3gt13 + (J11L*PDupwindNthSymm1gt13 + + J21L*PDupwindNthSymm2gt13 + J31L*PDupwindNthSymm3gt13)*Abs(beta1L) + + (J12L*PDupwindNthSymm1gt13 + J22L*PDupwindNthSymm2gt13 + + J32L*PDupwindNthSymm3gt13)*Abs(beta2L) + (J13L*PDupwindNthSymm1gt13 + + J23L*PDupwindNthSymm2gt13 + J33L*PDupwindNthSymm3gt13)*Abs(beta3L); + + CCTK_REAL_VEC gt22rhsL = -2*alphaL*At22L + (epsdiss1*J11L + + epsdiss2*J12L + epsdiss3*J13L)*PDdissipationNth1gt22 + (epsdiss1*J21L + + epsdiss2*J22L + epsdiss3*J23L)*PDdissipationNth2gt22 + (epsdiss1*J31L + + epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3gt22 - + gt22L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3) + 2*(J12L*(gt12L*PDstandardNth1beta1 + + gt22L*PDstandardNth1beta2 + gt23L*PDstandardNth1beta3) + + J22L*(gt12L*PDstandardNth2beta1 + gt22L*PDstandardNth2beta2 + + gt23L*PDstandardNth2beta3) + J32L*(gt12L*PDstandardNth3beta1 + + gt22L*PDstandardNth3beta2 + gt23L*PDstandardNth3beta3)) + (beta1L*J11L + + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1gt22 + (beta1L*J21L + + beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2gt22 + (beta1L*J31L + + beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3gt22 + + (J11L*PDupwindNthSymm1gt22 + J21L*PDupwindNthSymm2gt22 + + J31L*PDupwindNthSymm3gt22)*Abs(beta1L) + (J12L*PDupwindNthSymm1gt22 + + J22L*PDupwindNthSymm2gt22 + J32L*PDupwindNthSymm3gt22)*Abs(beta2L) + + (J13L*PDupwindNthSymm1gt22 + J23L*PDupwindNthSymm2gt22 + + J33L*PDupwindNthSymm3gt22)*Abs(beta3L); + + CCTK_REAL_VEC gt23rhsL = -2*alphaL*At23L + (epsdiss1*J11L + + epsdiss2*J12L + epsdiss3*J13L)*PDdissipationNth1gt23 + (epsdiss1*J21L + + epsdiss2*J22L + epsdiss3*J23L)*PDdissipationNth2gt23 + (epsdiss1*J31L + + epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3gt23 + (gt13L*J12L + + gt12L*J13L)*PDstandardNth1beta1 + (gt23L*J12L + + gt22L*J13L)*PDstandardNth1beta2 + (gt33L*J12L + + gt23L*J13L)*PDstandardNth1beta3 + (gt13L*J22L + + gt12L*J23L)*PDstandardNth2beta1 + (gt23L*J22L + + gt22L*J23L)*PDstandardNth2beta2 + (gt33L*J22L + + gt23L*J23L)*PDstandardNth2beta3 + (gt13L*J32L + + gt12L*J33L)*PDstandardNth3beta1 + (gt23L*J32L + + gt22L*J33L)*PDstandardNth3beta2 + (gt33L*J32L + + gt23L*J33L)*PDstandardNth3beta3 - + gt23L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3) + (beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1gt23 + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2gt23 + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3gt23 + (J11L*PDupwindNthSymm1gt23 + + J21L*PDupwindNthSymm2gt23 + J31L*PDupwindNthSymm3gt23)*Abs(beta1L) + + (J12L*PDupwindNthSymm1gt23 + J22L*PDupwindNthSymm2gt23 + + J32L*PDupwindNthSymm3gt23)*Abs(beta2L) + (J13L*PDupwindNthSymm1gt23 + + J23L*PDupwindNthSymm2gt23 + J33L*PDupwindNthSymm3gt23)*Abs(beta3L); + + CCTK_REAL_VEC gt33rhsL = -2*alphaL*At33L + (epsdiss1*J11L + + epsdiss2*J12L + epsdiss3*J13L)*PDdissipationNth1gt33 + (epsdiss1*J21L + + epsdiss2*J22L + epsdiss3*J23L)*PDdissipationNth2gt33 + (epsdiss1*J31L + + epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3gt33 - + gt33L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3) + 2*(J13L*(gt13L*PDstandardNth1beta1 + + gt23L*PDstandardNth1beta2 + gt33L*PDstandardNth1beta3) + + J23L*(gt13L*PDstandardNth2beta1 + gt23L*PDstandardNth2beta2 + + gt33L*PDstandardNth2beta3) + J33L*(gt13L*PDstandardNth3beta1 + + gt23L*PDstandardNth3beta2 + gt33L*PDstandardNth3beta3)) + (beta1L*J11L + + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1gt33 + (beta1L*J21L + + beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2gt33 + (beta1L*J31L + + beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3gt33 + + (J11L*PDupwindNthSymm1gt33 + J21L*PDupwindNthSymm2gt33 + + J31L*PDupwindNthSymm3gt33)*Abs(beta1L) + (J12L*PDupwindNthSymm1gt33 + + J22L*PDupwindNthSymm2gt33 + J32L*PDupwindNthSymm3gt33)*Abs(beta2L) + + (J13L*PDupwindNthSymm1gt33 + J23L*PDupwindNthSymm2gt33 + + J33L*PDupwindNthSymm3gt33)*Abs(beta3L); + + CCTK_REAL_VEC dotXt1 = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1Xt1 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2Xt1 + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3Xt1 - 2*((Atu11*J11L + Atu21*J12L + + Atu31*J13L)*PDstandardNth1alpha + (Atu11*J21L + Atu21*J22L + + Atu31*J23L)*PDstandardNth2alpha + (Atu11*J31L + Atu21*J32L + + Atu31*J33L)*PDstandardNth3alpha) + + 2*(gtu21*(J11L*J12L*PDstandardNth11beta1 + + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + + J12L*J31L*PDstandardNth13beta1 + J11L*J32L*PDstandardNth13beta1 + + dJ112L*PDstandardNth1beta1 + J21L*J22L*PDstandardNth22beta1 + + J22L*J31L*PDstandardNth23beta1 + J21L*J32L*PDstandardNth23beta1 + + dJ212L*PDstandardNth2beta1 + J31L*J32L*PDstandardNth33beta1 + + dJ312L*PDstandardNth3beta1) + gtu31*(J11L*J13L*PDstandardNth11beta1 + + J13L*J21L*PDstandardNth12beta1 + J11L*J23L*PDstandardNth12beta1 + + J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + + dJ113L*PDstandardNth1beta1 + J21L*J23L*PDstandardNth22beta1 + + J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + + dJ213L*PDstandardNth2beta1 + J31L*J33L*PDstandardNth33beta1 + + dJ313L*PDstandardNth3beta1) + gtu32*(J12L*J13L*PDstandardNth11beta1 + + J13L*J22L*PDstandardNth12beta1 + J12L*J23L*PDstandardNth12beta1 + + J13L*J32L*PDstandardNth13beta1 + J12L*J33L*PDstandardNth13beta1 + + dJ123L*PDstandardNth1beta1 + J22L*J23L*PDstandardNth22beta1 + + J23L*J32L*PDstandardNth23beta1 + J22L*J33L*PDstandardNth23beta1 + + dJ223L*PDstandardNth2beta1 + J32L*J33L*PDstandardNth33beta1 + + dJ323L*PDstandardNth3beta1) + alphaL*(6*(Atu11*cdphi1 + Atu21*cdphi2 + + Atu31*cdphi3) + Atu11*Gt111 + 2*Atu21*Gt112 + 2*Atu31*Gt113 + + Atu22*Gt122 + 2*Atu32*Gt123 + Atu33*Gt133 - ktwothird*((gtu11*J11L + + gtu21*J12L + gtu31*J13L)*PDstandardNth1trK + (gtu11*J21L + gtu21*J22L + + gtu31*J23L)*PDstandardNth2trK + (gtu11*J31L + gtu21*J32L + + gtu31*J33L)*PDstandardNth3trK))) + (beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1Xt1 + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2Xt1 + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3Xt1 - + 50.26548245743669181540229413247204614715*alphaL*(gtu11*S1 + gtu21*S2 + + gtu31*S3) + ktwothird*(J11L*PDstandardNth1beta1 + + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn1 - + PDstandardNth1beta1*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - + PDstandardNth2beta1*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - + PDstandardNth3beta1*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + + (J11L*PDupwindNthSymm1Xt1 + J21L*PDupwindNthSymm2Xt1 + + J31L*PDupwindNthSymm3Xt1)*Abs(beta1L) + (J12L*PDupwindNthSymm1Xt1 + + J22L*PDupwindNthSymm2Xt1 + J32L*PDupwindNthSymm3Xt1)*Abs(beta2L) + + (J13L*PDupwindNthSymm1Xt1 + J23L*PDupwindNthSymm2Xt1 + + J33L*PDupwindNthSymm3Xt1)*Abs(beta3L) + + gtu11*(2*J11L*J21L*PDstandardNth12beta1 + + 2*J11L*J31L*PDstandardNth13beta1 + dJ111L*PDstandardNth1beta1 + + 2*J21L*J31L*PDstandardNth23beta1 + dJ211L*PDstandardNth2beta1 + + dJ311L*PDstandardNth3beta1 + PDstandardNth11beta1*SQR(J11L) + + PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + + gtu22*(2*J12L*J22L*PDstandardNth12beta1 + + 2*J12L*J32L*PDstandardNth13beta1 + dJ122L*PDstandardNth1beta1 + + 2*J22L*J32L*PDstandardNth23beta1 + dJ222L*PDstandardNth2beta1 + + dJ322L*PDstandardNth3beta1 + PDstandardNth11beta1*SQR(J12L) + + PDstandardNth22beta1*SQR(J22L) + PDstandardNth33beta1*SQR(J32L)) + + gtu33*(2*J13L*J23L*PDstandardNth12beta1 + + 2*J13L*J33L*PDstandardNth13beta1 + dJ133L*PDstandardNth1beta1 + + 2*J23L*J33L*PDstandardNth23beta1 + dJ233L*PDstandardNth2beta1 + + dJ333L*PDstandardNth3beta1 + PDstandardNth11beta1*SQR(J13L) + + PDstandardNth22beta1*SQR(J23L) + PDstandardNth33beta1*SQR(J33L)) + + kthird*(gtu11*(J11L*J12L*PDstandardNth11beta2 + + J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + + J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + + J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + + 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + + J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + + J11L*J33L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta1 + + dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + + 2*J21L*J31L*PDstandardNth23beta1 + J22L*J31L*PDstandardNth23beta2 + + J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + + J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + + dJ212L*PDstandardNth2beta2 + dJ213L*PDstandardNth2beta3 + + J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + + dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + + dJ313L*PDstandardNth3beta3 + PDstandardNth11beta1*SQR(J11L) + + PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + + gtu21*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 + + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + + 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + + J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + + J11L*J32L*PDstandardNth13beta1 + 2*J12L*J32L*PDstandardNth13beta2 + + J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + + dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + + dJ123L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta1 + + J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + + J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + + J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + + dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + + dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + + J32L*J33L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta1 + + dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + + PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + + PDstandardNth33beta2*SQR(J32L)) + gtu31*(J11L*J13L*PDstandardNth11beta1 + + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + + J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + + J12L*J23L*PDstandardNth12beta2 + 2*J13L*J23L*PDstandardNth12beta3 + + J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + + J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + + 2*J13L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta1 + + dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + + J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + + J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + + J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + + 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + + dJ223L*PDstandardNth2beta2 + dJ233L*PDstandardNth2beta3 + + J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + + dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + + dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); + + CCTK_REAL_VEC dotXt2 = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1Xt2 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2Xt2 + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3Xt2 - 2*((Atu21*J11L + Atu22*J12L + + Atu32*J13L)*PDstandardNth1alpha + (Atu21*J21L + Atu22*J22L + + Atu32*J23L)*PDstandardNth2alpha + (Atu21*J31L + Atu22*J32L + + Atu32*J33L)*PDstandardNth3alpha) + + 2*(gtu21*(J11L*J12L*PDstandardNth11beta2 + + J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + + J12L*J31L*PDstandardNth13beta2 + J11L*J32L*PDstandardNth13beta2 + + dJ112L*PDstandardNth1beta2 + J21L*J22L*PDstandardNth22beta2 + + J22L*J31L*PDstandardNth23beta2 + J21L*J32L*PDstandardNth23beta2 + + dJ212L*PDstandardNth2beta2 + J31L*J32L*PDstandardNth33beta2 + + dJ312L*PDstandardNth3beta2) + gtu31*(J11L*J13L*PDstandardNth11beta2 + + J13L*J21L*PDstandardNth12beta2 + J11L*J23L*PDstandardNth12beta2 + + J13L*J31L*PDstandardNth13beta2 + J11L*J33L*PDstandardNth13beta2 + + dJ113L*PDstandardNth1beta2 + J21L*J23L*PDstandardNth22beta2 + + J23L*J31L*PDstandardNth23beta2 + J21L*J33L*PDstandardNth23beta2 + + dJ213L*PDstandardNth2beta2 + J31L*J33L*PDstandardNth33beta2 + + dJ313L*PDstandardNth3beta2) + gtu32*(J12L*J13L*PDstandardNth11beta2 + + J13L*J22L*PDstandardNth12beta2 + J12L*J23L*PDstandardNth12beta2 + + J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + + dJ123L*PDstandardNth1beta2 + J22L*J23L*PDstandardNth22beta2 + + J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + + dJ223L*PDstandardNth2beta2 + J32L*J33L*PDstandardNth33beta2 + + dJ323L*PDstandardNth3beta2) + alphaL*(6*(Atu21*cdphi1 + Atu22*cdphi2 + + Atu32*cdphi3) + Atu11*Gt211 + 2*Atu21*Gt212 + 2*Atu31*Gt213 + + Atu22*Gt222 + 2*Atu32*Gt223 + Atu33*Gt233 - ktwothird*((gtu21*J11L + + gtu22*J12L + gtu32*J13L)*PDstandardNth1trK + (gtu21*J21L + gtu22*J22L + + gtu32*J23L)*PDstandardNth2trK + (gtu21*J31L + gtu22*J32L + + gtu32*J33L)*PDstandardNth3trK))) + (beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1Xt2 + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2Xt2 + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3Xt2 - + 50.26548245743669181540229413247204614715*alphaL*(gtu21*S1 + gtu22*S2 + + gtu32*S3) + ktwothird*(J11L*PDstandardNth1beta1 + + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn2 - + PDstandardNth1beta2*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - + PDstandardNth2beta2*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - + PDstandardNth3beta2*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + + (J11L*PDupwindNthSymm1Xt2 + J21L*PDupwindNthSymm2Xt2 + + J31L*PDupwindNthSymm3Xt2)*Abs(beta1L) + (J12L*PDupwindNthSymm1Xt2 + + J22L*PDupwindNthSymm2Xt2 + J32L*PDupwindNthSymm3Xt2)*Abs(beta2L) + + (J13L*PDupwindNthSymm1Xt2 + J23L*PDupwindNthSymm2Xt2 + + J33L*PDupwindNthSymm3Xt2)*Abs(beta3L) + + gtu11*(2*J11L*J21L*PDstandardNth12beta2 + + 2*J11L*J31L*PDstandardNth13beta2 + dJ111L*PDstandardNth1beta2 + + 2*J21L*J31L*PDstandardNth23beta2 + dJ211L*PDstandardNth2beta2 + + dJ311L*PDstandardNth3beta2 + PDstandardNth11beta2*SQR(J11L) + + PDstandardNth22beta2*SQR(J21L) + PDstandardNth33beta2*SQR(J31L)) + + gtu22*(2*J12L*J22L*PDstandardNth12beta2 + + 2*J12L*J32L*PDstandardNth13beta2 + dJ122L*PDstandardNth1beta2 + + 2*J22L*J32L*PDstandardNth23beta2 + dJ222L*PDstandardNth2beta2 + + dJ322L*PDstandardNth3beta2 + PDstandardNth11beta2*SQR(J12L) + + PDstandardNth22beta2*SQR(J22L) + PDstandardNth33beta2*SQR(J32L)) + + gtu33*(2*J13L*J23L*PDstandardNth12beta2 + + 2*J13L*J33L*PDstandardNth13beta2 + dJ133L*PDstandardNth1beta2 + + 2*J23L*J33L*PDstandardNth23beta2 + dJ233L*PDstandardNth2beta2 + + dJ333L*PDstandardNth3beta2 + PDstandardNth11beta2*SQR(J13L) + + PDstandardNth22beta2*SQR(J23L) + PDstandardNth33beta2*SQR(J33L)) + + kthird*(gtu21*(J11L*J12L*PDstandardNth11beta2 + + J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + + J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + + J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + + 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + + J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + + J11L*J33L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta1 + + dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + + 2*J21L*J31L*PDstandardNth23beta1 + J22L*J31L*PDstandardNth23beta2 + + J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + + J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + + dJ212L*PDstandardNth2beta2 + dJ213L*PDstandardNth2beta3 + + J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + + dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + + dJ313L*PDstandardNth3beta3 + PDstandardNth11beta1*SQR(J11L) + + PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + + gtu22*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 + + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + + 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + + J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + + J11L*J32L*PDstandardNth13beta1 + 2*J12L*J32L*PDstandardNth13beta2 + + J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + + dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + + dJ123L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta1 + + J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + + J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + + J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + + dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + + dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + + J32L*J33L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta1 + + dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + + PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + + PDstandardNth33beta2*SQR(J32L)) + gtu32*(J11L*J13L*PDstandardNth11beta1 + + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + + J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + + J12L*J23L*PDstandardNth12beta2 + 2*J13L*J23L*PDstandardNth12beta3 + + J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + + J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + + 2*J13L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta1 + + dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + + J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + + J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + + J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + + 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + + dJ223L*PDstandardNth2beta2 + dJ233L*PDstandardNth2beta3 + + J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + + dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + + dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); + + CCTK_REAL_VEC dotXt3 = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1Xt3 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2Xt3 + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3Xt3 - 2*((Atu31*J11L + Atu32*J12L + + Atu33*J13L)*PDstandardNth1alpha + (Atu31*J21L + Atu32*J22L + + Atu33*J23L)*PDstandardNth2alpha + (Atu31*J31L + Atu32*J32L + + Atu33*J33L)*PDstandardNth3alpha) + + 2*(gtu21*(J11L*J12L*PDstandardNth11beta3 + + J12L*J21L*PDstandardNth12beta3 + J11L*J22L*PDstandardNth12beta3 + + J12L*J31L*PDstandardNth13beta3 + J11L*J32L*PDstandardNth13beta3 + + dJ112L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta3 + + J22L*J31L*PDstandardNth23beta3 + J21L*J32L*PDstandardNth23beta3 + + dJ212L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta3 + + dJ312L*PDstandardNth3beta3) + gtu31*(J11L*J13L*PDstandardNth11beta3 + + J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + + J13L*J31L*PDstandardNth13beta3 + J11L*J33L*PDstandardNth13beta3 + + dJ113L*PDstandardNth1beta3 + J21L*J23L*PDstandardNth22beta3 + + J23L*J31L*PDstandardNth23beta3 + J21L*J33L*PDstandardNth23beta3 + + dJ213L*PDstandardNth2beta3 + J31L*J33L*PDstandardNth33beta3 + + dJ313L*PDstandardNth3beta3) + gtu32*(J12L*J13L*PDstandardNth11beta3 + + J13L*J22L*PDstandardNth12beta3 + J12L*J23L*PDstandardNth12beta3 + + J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + + dJ123L*PDstandardNth1beta3 + J22L*J23L*PDstandardNth22beta3 + + J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + + dJ223L*PDstandardNth2beta3 + J32L*J33L*PDstandardNth33beta3 + + dJ323L*PDstandardNth3beta3) + alphaL*(6*(Atu31*cdphi1 + Atu32*cdphi2 + + Atu33*cdphi3) + Atu11*Gt311 + 2*Atu21*Gt312 + 2*Atu31*Gt313 + + Atu22*Gt322 + 2*Atu32*Gt323 + Atu33*Gt333 - ktwothird*((gtu31*J11L + + gtu32*J12L + gtu33*J13L)*PDstandardNth1trK + (gtu31*J21L + gtu32*J22L + + gtu33*J23L)*PDstandardNth2trK + (gtu31*J31L + gtu32*J32L + + gtu33*J33L)*PDstandardNth3trK))) + (beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1Xt3 + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2Xt3 + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3Xt3 - + 50.26548245743669181540229413247204614715*alphaL*(gtu31*S1 + gtu32*S2 + + gtu33*S3) + ktwothird*(J11L*PDstandardNth1beta1 + + J12L*PDstandardNth1beta2 + J13L*PDstandardNth1beta3 + + J21L*PDstandardNth2beta1 + J22L*PDstandardNth2beta2 + + J23L*PDstandardNth2beta3 + J31L*PDstandardNth3beta1 + + J32L*PDstandardNth3beta2 + J33L*PDstandardNth3beta3)*Xtn3 - + PDstandardNth1beta3*(J11L*Xtn1 + J12L*Xtn2 + J13L*Xtn3) - + PDstandardNth2beta3*(J21L*Xtn1 + J22L*Xtn2 + J23L*Xtn3) - + PDstandardNth3beta3*(J31L*Xtn1 + J32L*Xtn2 + J33L*Xtn3) + + (J11L*PDupwindNthSymm1Xt3 + J21L*PDupwindNthSymm2Xt3 + + J31L*PDupwindNthSymm3Xt3)*Abs(beta1L) + (J12L*PDupwindNthSymm1Xt3 + + J22L*PDupwindNthSymm2Xt3 + J32L*PDupwindNthSymm3Xt3)*Abs(beta2L) + + (J13L*PDupwindNthSymm1Xt3 + J23L*PDupwindNthSymm2Xt3 + + J33L*PDupwindNthSymm3Xt3)*Abs(beta3L) + + gtu11*(2*J11L*J21L*PDstandardNth12beta3 + + 2*J11L*J31L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta3 + + 2*J21L*J31L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta3 + + dJ311L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J11L) + + PDstandardNth22beta3*SQR(J21L) + PDstandardNth33beta3*SQR(J31L)) + + gtu22*(2*J12L*J22L*PDstandardNth12beta3 + + 2*J12L*J32L*PDstandardNth13beta3 + dJ122L*PDstandardNth1beta3 + + 2*J22L*J32L*PDstandardNth23beta3 + dJ222L*PDstandardNth2beta3 + + dJ322L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J12L) + + PDstandardNth22beta3*SQR(J22L) + PDstandardNth33beta3*SQR(J32L)) + + gtu33*(2*J13L*J23L*PDstandardNth12beta3 + + 2*J13L*J33L*PDstandardNth13beta3 + dJ133L*PDstandardNth1beta3 + + 2*J23L*J33L*PDstandardNth23beta3 + dJ233L*PDstandardNth2beta3 + + dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L)) + + kthird*(gtu31*(J11L*J12L*PDstandardNth11beta2 + + J11L*J13L*PDstandardNth11beta3 + 2*J11L*J21L*PDstandardNth12beta1 + + J12L*J21L*PDstandardNth12beta2 + J11L*J22L*PDstandardNth12beta2 + + J13L*J21L*PDstandardNth12beta3 + J11L*J23L*PDstandardNth12beta3 + + 2*J11L*J31L*PDstandardNth13beta1 + J12L*J31L*PDstandardNth13beta2 + + J11L*J32L*PDstandardNth13beta2 + J13L*J31L*PDstandardNth13beta3 + + J11L*J33L*PDstandardNth13beta3 + dJ111L*PDstandardNth1beta1 + + dJ112L*PDstandardNth1beta2 + dJ113L*PDstandardNth1beta3 + + J21L*J22L*PDstandardNth22beta2 + J21L*J23L*PDstandardNth22beta3 + + 2*J21L*J31L*PDstandardNth23beta1 + J22L*J31L*PDstandardNth23beta2 + + J21L*J32L*PDstandardNth23beta2 + J23L*J31L*PDstandardNth23beta3 + + J21L*J33L*PDstandardNth23beta3 + dJ211L*PDstandardNth2beta1 + + dJ212L*PDstandardNth2beta2 + dJ213L*PDstandardNth2beta3 + + J31L*J32L*PDstandardNth33beta2 + J31L*J33L*PDstandardNth33beta3 + + dJ311L*PDstandardNth3beta1 + dJ312L*PDstandardNth3beta2 + + dJ313L*PDstandardNth3beta3 + PDstandardNth11beta1*SQR(J11L) + + PDstandardNth22beta1*SQR(J21L) + PDstandardNth33beta1*SQR(J31L)) + + gtu32*(J11L*J12L*PDstandardNth11beta1 + J12L*J13L*PDstandardNth11beta3 + + J12L*J21L*PDstandardNth12beta1 + J11L*J22L*PDstandardNth12beta1 + + 2*J12L*J22L*PDstandardNth12beta2 + J13L*J22L*PDstandardNth12beta3 + + J12L*J23L*PDstandardNth12beta3 + J12L*J31L*PDstandardNth13beta1 + + J11L*J32L*PDstandardNth13beta1 + 2*J12L*J32L*PDstandardNth13beta2 + + J13L*J32L*PDstandardNth13beta3 + J12L*J33L*PDstandardNth13beta3 + + dJ112L*PDstandardNth1beta1 + dJ122L*PDstandardNth1beta2 + + dJ123L*PDstandardNth1beta3 + J21L*J22L*PDstandardNth22beta1 + + J22L*J23L*PDstandardNth22beta3 + J22L*J31L*PDstandardNth23beta1 + + J21L*J32L*PDstandardNth23beta1 + 2*J22L*J32L*PDstandardNth23beta2 + + J23L*J32L*PDstandardNth23beta3 + J22L*J33L*PDstandardNth23beta3 + + dJ212L*PDstandardNth2beta1 + dJ222L*PDstandardNth2beta2 + + dJ223L*PDstandardNth2beta3 + J31L*J32L*PDstandardNth33beta1 + + J32L*J33L*PDstandardNth33beta3 + dJ312L*PDstandardNth3beta1 + + dJ322L*PDstandardNth3beta2 + dJ323L*PDstandardNth3beta3 + + PDstandardNth11beta2*SQR(J12L) + PDstandardNth22beta2*SQR(J22L) + + PDstandardNth33beta2*SQR(J32L)) + gtu33*(J11L*J13L*PDstandardNth11beta1 + + J12L*J13L*PDstandardNth11beta2 + J13L*J21L*PDstandardNth12beta1 + + J11L*J23L*PDstandardNth12beta1 + J13L*J22L*PDstandardNth12beta2 + + J12L*J23L*PDstandardNth12beta2 + 2*J13L*J23L*PDstandardNth12beta3 + + J13L*J31L*PDstandardNth13beta1 + J11L*J33L*PDstandardNth13beta1 + + J13L*J32L*PDstandardNth13beta2 + J12L*J33L*PDstandardNth13beta2 + + 2*J13L*J33L*PDstandardNth13beta3 + dJ113L*PDstandardNth1beta1 + + dJ123L*PDstandardNth1beta2 + dJ133L*PDstandardNth1beta3 + + J21L*J23L*PDstandardNth22beta1 + J22L*J23L*PDstandardNth22beta2 + + J23L*J31L*PDstandardNth23beta1 + J21L*J33L*PDstandardNth23beta1 + + J23L*J32L*PDstandardNth23beta2 + J22L*J33L*PDstandardNth23beta2 + + 2*J23L*J33L*PDstandardNth23beta3 + dJ213L*PDstandardNth2beta1 + + dJ223L*PDstandardNth2beta2 + dJ233L*PDstandardNth2beta3 + + J31L*J33L*PDstandardNth33beta1 + J32L*J33L*PDstandardNth33beta2 + + dJ313L*PDstandardNth3beta1 + dJ323L*PDstandardNth3beta2 + + dJ333L*PDstandardNth3beta3 + PDstandardNth11beta3*SQR(J13L) + + PDstandardNth22beta3*SQR(J23L) + PDstandardNth33beta3*SQR(J33L))); + + CCTK_REAL_VEC Xt1rhsL = dotXt1; + + CCTK_REAL_VEC Xt2rhsL = dotXt2; + + CCTK_REAL_VEC Xt3rhsL = dotXt3; + + CCTK_REAL_VEC dottrK = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1trK + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2trK + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3trK + (beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1trK + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2trK + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3trK + (J11L*PDupwindNthSymm1trK + + J21L*PDupwindNthSymm2trK + J31L*PDupwindNthSymm3trK)*Abs(beta1L) + + (J12L*PDupwindNthSymm1trK + J22L*PDupwindNthSymm2trK + + J32L*PDupwindNthSymm3trK)*Abs(beta2L) + (J13L*PDupwindNthSymm1trK + + J23L*PDupwindNthSymm2trK + J33L*PDupwindNthSymm3trK)*Abs(beta3L) - + em4phi*(2*((gtu21*J11L*J22L + gtu31*(J13L*J21L + + J11L*J23L))*PDstandardNth12alpha + (gtu21*J11L*J32L + gtu31*(J13L*J31L + + J11L*J33L))*PDstandardNth13alpha + J11L*((gtu21*J12L + + gtu31*J13L)*PDstandardNth11alpha + gtu11*(J21L*PDstandardNth12alpha + + J31L*PDstandardNth13alpha)) + J12L*(gtu32*J13L*PDstandardNth11alpha + + gtu21*(J21L*PDstandardNth12alpha + J31L*PDstandardNth13alpha)) + + (gtu11*J21L*J31L + (gtu22*J22L + gtu32*J23L)*J32L + (gtu32*J22L + + gtu33*J23L)*J33L)*PDstandardNth23alpha + J22L*((gtu22*J12L + + gtu32*J13L)*PDstandardNth12alpha + (gtu21*J21L + + gtu32*J23L)*PDstandardNth22alpha + gtu21*J31L*PDstandardNth23alpha) + + J23L*((gtu32*J12L + gtu33*J13L)*PDstandardNth12alpha + + gtu31*(J21L*PDstandardNth22alpha + J31L*PDstandardNth23alpha)) + + (gtu21*(dJ312L + cdphi2*J31L) + cdphi3*(gtu31*J31L + + gtu32*J32L))*PDstandardNth3alpha + J32L*((gtu22*J12L + + gtu32*J13L)*PDstandardNth13alpha + gtu32*J33L*PDstandardNth33alpha + + gtu21*(J21L*PDstandardNth23alpha + J31L*PDstandardNth33alpha) + + cdphi2*gtu22*PDstandardNth3alpha) + J33L*((gtu32*J12L + + gtu33*J13L)*PDstandardNth13alpha + gtu31*(J21L*PDstandardNth23alpha + + J31L*PDstandardNth33alpha) + (cdphi2*gtu32 + + cdphi3*gtu33)*PDstandardNth3alpha)) + + PDstandardNth1alpha*(gtu11*(dJ111L + 2*cdphi1*J11L) + gtu22*(dJ122L + + 2*cdphi2*J12L) + gtu33*(dJ133L + 2*cdphi3*J13L) + 2*(dJ112L*gtu21 + + dJ113L*gtu31 + dJ123L*gtu32 + cdphi2*gtu21*J11L + cdphi3*gtu31*J11L + + cdphi1*gtu21*J12L + cdphi3*gtu32*J12L + cdphi1*gtu31*J13L + + cdphi2*gtu32*J13L) - J11L*Xtn1 - J12L*Xtn2 - J13L*Xtn3) + + PDstandardNth2alpha*(gtu11*(dJ211L + 2*cdphi1*J21L) + gtu22*(dJ222L + + 2*cdphi2*J22L) + gtu33*(dJ233L + 2*cdphi3*J23L) + 2*(dJ212L*gtu21 + + dJ213L*gtu31 + dJ223L*gtu32 + cdphi2*gtu21*J21L + cdphi3*gtu31*J21L + + cdphi1*gtu21*J22L + cdphi3*gtu32*J22L + cdphi1*gtu31*J23L + + cdphi2*gtu32*J23L) - J21L*Xtn1 - J22L*Xtn2 - J23L*Xtn3) + + PDstandardNth3alpha*(dJ322L*gtu22 + dJ333L*gtu33 + gtu11*(dJ311L + + 2*cdphi1*J31L) + 2*(dJ313L*gtu31 + dJ323L*gtu32 + cdphi1*gtu21*J32L + + cdphi1*gtu31*J33L) - J31L*Xtn1 - J32L*Xtn2 - J33L*Xtn3) + + PDstandardNth11alpha*(gtu11*SQR(J11L) + gtu22*SQR(J12L) + + gtu33*SQR(J13L)) + PDstandardNth22alpha*(gtu11*SQR(J21L) + + gtu22*SQR(J22L) + gtu33*SQR(J23L)) + + PDstandardNth33alpha*(gtu11*SQR(J31L) + gtu22*SQR(J32L) + + gtu33*SQR(J33L))) + alphaL*(2*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) + + 12.56637061435917295385057353311801153679*(rho + trS) + SQR(Atm11) + + SQR(Atm22) + SQR(Atm33) + kthird*SQR(trKL)); + + CCTK_REAL_VEC trKrhsL = dottrK; + + CCTK_REAL_VEC alpharhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1alpha + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2alpha + (epsdiss1*J31L + + epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3alpha + + LapseAdvectionCoeff*((beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1alpha + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2alpha + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3alpha + (J11L*PDupwindNthSymm1alpha + + J21L*PDupwindNthSymm2alpha + J31L*PDupwindNthSymm3alpha)*Abs(beta1L) + + (J12L*PDupwindNthSymm1alpha + J22L*PDupwindNthSymm2alpha + + J32L*PDupwindNthSymm3alpha)*Abs(beta2L) + (J13L*PDupwindNthSymm1alpha + + J23L*PDupwindNthSymm2alpha + J33L*PDupwindNthSymm3alpha)*Abs(beta3L)) - + harmonicF*(LapseACoeff*(AL - trKL) + trKL)*pow(alphaL,harmonicN); + + CCTK_REAL_VEC ArhsL = (-(AL*AlphaDriver) + dottrK)*LapseACoeff + + (epsdiss1*J11L + epsdiss2*J12L + epsdiss3*J13L)*PDdissipationNth1A + + (epsdiss1*J21L + epsdiss2*J22L + epsdiss3*J23L)*PDdissipationNth2A + + (epsdiss1*J31L + epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3A + + LapseAdvectionCoeff*((beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1A + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2A + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3A + (J11L*PDupwindNthSymm1A + + J21L*PDupwindNthSymm2A + J31L*PDupwindNthSymm3A)*Abs(beta1L) + + (J12L*PDupwindNthSymm1A + J22L*PDupwindNthSymm2A + + J32L*PDupwindNthSymm3A)*Abs(beta2L) + (J13L*PDupwindNthSymm1A + + J23L*PDupwindNthSymm2A + J33L*PDupwindNthSymm3A)*Abs(beta3L)); + + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); + + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); + + CCTK_REAL_VEC beta1rhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1beta1 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2beta1 + (epsdiss1*J31L + + epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3beta1 + + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L) + ShiftAdvectionCoeff*((beta1L*J11L + + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1beta1 + (beta1L*J21L + + beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2beta1 + (beta1L*J31L + + beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3beta1 + + (J11L*PDupwindNthSymm1beta1 + J21L*PDupwindNthSymm2beta1 + + J31L*PDupwindNthSymm3beta1)*Abs(beta1L) + (J12L*PDupwindNthSymm1beta1 + + J22L*PDupwindNthSymm2beta1 + J32L*PDupwindNthSymm3beta1)*Abs(beta2L) + + (J13L*PDupwindNthSymm1beta1 + J23L*PDupwindNthSymm2beta1 + + J33L*PDupwindNthSymm3beta1)*Abs(beta3L)); + + CCTK_REAL_VEC beta2rhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1beta2 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2beta2 + (epsdiss1*J31L + + epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3beta2 + + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L) + ShiftAdvectionCoeff*((beta1L*J11L + + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1beta2 + (beta1L*J21L + + beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2beta2 + (beta1L*J31L + + beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3beta2 + + (J11L*PDupwindNthSymm1beta2 + J21L*PDupwindNthSymm2beta2 + + J31L*PDupwindNthSymm3beta2)*Abs(beta1L) + (J12L*PDupwindNthSymm1beta2 + + J22L*PDupwindNthSymm2beta2 + J32L*PDupwindNthSymm3beta2)*Abs(beta2L) + + (J13L*PDupwindNthSymm1beta2 + J23L*PDupwindNthSymm2beta2 + + J33L*PDupwindNthSymm3beta2)*Abs(beta3L)); + + CCTK_REAL_VEC beta3rhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1beta3 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2beta3 + (epsdiss1*J31L + + epsdiss2*J32L + epsdiss3*J33L)*PDdissipationNth3beta3 + + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L) + ShiftAdvectionCoeff*((beta1L*J11L + + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1beta3 + (beta1L*J21L + + beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2beta3 + (beta1L*J31L + + beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3beta3 + + (J11L*PDupwindNthSymm1beta3 + J21L*PDupwindNthSymm2beta3 + + J31L*PDupwindNthSymm3beta3)*Abs(beta1L) + (J12L*PDupwindNthSymm1beta3 + + J22L*PDupwindNthSymm2beta3 + J32L*PDupwindNthSymm3beta3)*Abs(beta2L) + + (J13L*PDupwindNthSymm1beta3 + J23L*PDupwindNthSymm2beta3 + + J33L*PDupwindNthSymm3beta3)*Abs(beta3L)); + + CCTK_REAL_VEC B1rhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1B1 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2B1 + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3B1 + (dotXt1 - + B1L*BetaDriver*eta)*ShiftBCoeff + + ShiftAdvectionCoeff*(beta1L*(J11L*(PDupwindNthAnti1B1 - + PDupwindNthAnti1Xt1) + J21L*(PDupwindNthAnti2B1 - PDupwindNthAnti2Xt1) + + J31L*(PDupwindNthAnti3B1 - PDupwindNthAnti3Xt1)) + + beta2L*(J12L*(PDupwindNthAnti1B1 - PDupwindNthAnti1Xt1) + + J22L*(PDupwindNthAnti2B1 - PDupwindNthAnti2Xt1) + + J32L*(PDupwindNthAnti3B1 - PDupwindNthAnti3Xt1)) + + beta3L*(J13L*(PDupwindNthAnti1B1 - PDupwindNthAnti1Xt1) + + J23L*(PDupwindNthAnti2B1 - PDupwindNthAnti2Xt1) + + J33L*(PDupwindNthAnti3B1 - PDupwindNthAnti3Xt1)) + + (J11L*(PDupwindNthSymm1B1 - PDupwindNthSymm1Xt1) + + J21L*(PDupwindNthSymm2B1 - PDupwindNthSymm2Xt1) + + J31L*(PDupwindNthSymm3B1 - PDupwindNthSymm3Xt1))*Abs(beta1L) + + (J12L*(PDupwindNthSymm1B1 - PDupwindNthSymm1Xt1) + + J22L*(PDupwindNthSymm2B1 - PDupwindNthSymm2Xt1) + + J32L*(PDupwindNthSymm3B1 - PDupwindNthSymm3Xt1))*Abs(beta2L) + + (J13L*(PDupwindNthSymm1B1 - PDupwindNthSymm1Xt1) + + J23L*(PDupwindNthSymm2B1 - PDupwindNthSymm2Xt1) + + J33L*(PDupwindNthSymm3B1 - PDupwindNthSymm3Xt1))*Abs(beta3L)); + + CCTK_REAL_VEC B2rhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1B2 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2B2 + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3B2 + (dotXt2 - + B2L*BetaDriver*eta)*ShiftBCoeff + + ShiftAdvectionCoeff*(beta1L*(J11L*(PDupwindNthAnti1B2 - + PDupwindNthAnti1Xt2) + J21L*(PDupwindNthAnti2B2 - PDupwindNthAnti2Xt2) + + J31L*(PDupwindNthAnti3B2 - PDupwindNthAnti3Xt2)) + + beta2L*(J12L*(PDupwindNthAnti1B2 - PDupwindNthAnti1Xt2) + + J22L*(PDupwindNthAnti2B2 - PDupwindNthAnti2Xt2) + + J32L*(PDupwindNthAnti3B2 - PDupwindNthAnti3Xt2)) + + beta3L*(J13L*(PDupwindNthAnti1B2 - PDupwindNthAnti1Xt2) + + J23L*(PDupwindNthAnti2B2 - PDupwindNthAnti2Xt2) + + J33L*(PDupwindNthAnti3B2 - PDupwindNthAnti3Xt2)) + + (J11L*(PDupwindNthSymm1B2 - PDupwindNthSymm1Xt2) + + J21L*(PDupwindNthSymm2B2 - PDupwindNthSymm2Xt2) + + J31L*(PDupwindNthSymm3B2 - PDupwindNthSymm3Xt2))*Abs(beta1L) + + (J12L*(PDupwindNthSymm1B2 - PDupwindNthSymm1Xt2) + + J22L*(PDupwindNthSymm2B2 - PDupwindNthSymm2Xt2) + + J32L*(PDupwindNthSymm3B2 - PDupwindNthSymm3Xt2))*Abs(beta2L) + + (J13L*(PDupwindNthSymm1B2 - PDupwindNthSymm1Xt2) + + J23L*(PDupwindNthSymm2B2 - PDupwindNthSymm2Xt2) + + J33L*(PDupwindNthSymm3B2 - PDupwindNthSymm3Xt2))*Abs(beta3L)); + + CCTK_REAL_VEC B3rhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1B3 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2B3 + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3B3 + (dotXt3 - + B3L*BetaDriver*eta)*ShiftBCoeff + + ShiftAdvectionCoeff*(beta1L*(J11L*(PDupwindNthAnti1B3 - + PDupwindNthAnti1Xt3) + J21L*(PDupwindNthAnti2B3 - PDupwindNthAnti2Xt3) + + J31L*(PDupwindNthAnti3B3 - PDupwindNthAnti3Xt3)) + + beta2L*(J12L*(PDupwindNthAnti1B3 - PDupwindNthAnti1Xt3) + + J22L*(PDupwindNthAnti2B3 - PDupwindNthAnti2Xt3) + + J32L*(PDupwindNthAnti3B3 - PDupwindNthAnti3Xt3)) + + beta3L*(J13L*(PDupwindNthAnti1B3 - PDupwindNthAnti1Xt3) + + J23L*(PDupwindNthAnti2B3 - PDupwindNthAnti2Xt3) + + J33L*(PDupwindNthAnti3B3 - PDupwindNthAnti3Xt3)) + + (J11L*(PDupwindNthSymm1B3 - PDupwindNthSymm1Xt3) + + J21L*(PDupwindNthSymm2B3 - PDupwindNthSymm2Xt3) + + J31L*(PDupwindNthSymm3B3 - PDupwindNthSymm3Xt3))*Abs(beta1L) + + (J12L*(PDupwindNthSymm1B3 - PDupwindNthSymm1Xt3) + + J22L*(PDupwindNthSymm2B3 - PDupwindNthSymm2Xt3) + + J32L*(PDupwindNthSymm3B3 - PDupwindNthSymm3Xt3))*Abs(beta2L) + + (J13L*(PDupwindNthSymm1B3 - PDupwindNthSymm1Xt3) + + J23L*(PDupwindNthSymm2B3 - PDupwindNthSymm2Xt3) + + J33L*(PDupwindNthSymm3B3 - PDupwindNthSymm3Xt3))*Abs(beta3L)); + + + /* Copy local copies back to grid functions */ + vec_store_nta(alpharhs[index],alpharhsL); + vec_store_nta(Arhs[index],ArhsL); + vec_store_nta(B1rhs[index],B1rhsL); + vec_store_nta(B2rhs[index],B2rhsL); + vec_store_nta(B3rhs[index],B3rhsL); + vec_store_nta(beta1rhs[index],beta1rhsL); + vec_store_nta(beta2rhs[index],beta2rhsL); + vec_store_nta(beta3rhs[index],beta3rhsL); + vec_store_nta(gt11rhs[index],gt11rhsL); + vec_store_nta(gt12rhs[index],gt12rhsL); + vec_store_nta(gt13rhs[index],gt13rhsL); + vec_store_nta(gt22rhs[index],gt22rhsL); + vec_store_nta(gt23rhs[index],gt23rhsL); + vec_store_nta(gt33rhs[index],gt33rhsL); + vec_store_nta(phirhs[index],phirhsL); + vec_store_nta(trKrhs[index],trKrhsL); + vec_store_nta(Xt1rhs[index],Xt1rhsL); + vec_store_nta(Xt2rhs[index],Xt2rhsL); + vec_store_nta(Xt3rhs[index],Xt3rhsL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_MP_RHS1); +} + +extern "C" void ML_BSSN_MP_RHS1(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_RHS1_Body); +} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.c b/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.c deleted file mode 100644 index 44cca5d..0000000 --- a/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.c +++ /dev/null @@ -1,1188 +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_MP_RHS2_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_RHS2_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_RHS2_calc_every != ML_BSSN_MP_RHS2_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_MP_RHS2, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1alpha = INITVALUE; - // CCTK_REAL PDstandardNth2alpha = INITVALUE; - // CCTK_REAL PDstandardNth3alpha = INITVALUE; - // CCTK_REAL PDstandardNth11alpha = INITVALUE; - // CCTK_REAL PDstandardNth22alpha = INITVALUE; - // CCTK_REAL PDstandardNth33alpha = INITVALUE; - // CCTK_REAL PDstandardNth12alpha = INITVALUE; - // CCTK_REAL PDstandardNth13alpha = INITVALUE; - // CCTK_REAL PDstandardNth23alpha = INITVALUE; - // CCTK_REAL PDstandardNth1beta1 = INITVALUE; - // CCTK_REAL PDstandardNth2beta1 = INITVALUE; - // CCTK_REAL PDstandardNth3beta1 = INITVALUE; - // CCTK_REAL PDstandardNth1beta2 = INITVALUE; - // CCTK_REAL PDstandardNth2beta2 = INITVALUE; - // CCTK_REAL PDstandardNth3beta2 = INITVALUE; - // CCTK_REAL PDstandardNth1beta3 = INITVALUE; - // CCTK_REAL PDstandardNth2beta3 = INITVALUE; - // CCTK_REAL PDstandardNth3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth11phi = INITVALUE; - // CCTK_REAL PDstandardNth22phi = INITVALUE; - // CCTK_REAL PDstandardNth33phi = INITVALUE; - // CCTK_REAL PDstandardNth12phi = INITVALUE; - // CCTK_REAL PDstandardNth13phi = INITVALUE; - // CCTK_REAL PDstandardNth23phi = INITVALUE; - // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; - - /* Assign local copies of 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 dJ111L = dJ111[index]; - CCTK_REAL dJ112L = dJ112[index]; - CCTK_REAL dJ113L = dJ113[index]; - CCTK_REAL dJ122L = dJ122[index]; - CCTK_REAL dJ123L = dJ123[index]; - CCTK_REAL dJ133L = dJ133[index]; - CCTK_REAL dJ211L = dJ211[index]; - CCTK_REAL dJ212L = dJ212[index]; - CCTK_REAL dJ213L = dJ213[index]; - CCTK_REAL dJ222L = dJ222[index]; - CCTK_REAL dJ223L = dJ223[index]; - CCTK_REAL dJ233L = dJ233[index]; - CCTK_REAL dJ311L = dJ311[index]; - CCTK_REAL dJ312L = dJ312[index]; - CCTK_REAL dJ313L = dJ313[index]; - CCTK_REAL dJ322L = dJ322[index]; - CCTK_REAL dJ323L = dJ323[index]; - CCTK_REAL dJ333L = dJ333[index]; - 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 J11L = J11[index]; - CCTK_REAL J12L = J12[index]; - CCTK_REAL J13L = J13[index]; - CCTK_REAL J21L = J21[index]; - CCTK_REAL J22L = J22[index]; - CCTK_REAL J23L = J23[index]; - CCTK_REAL J31L = J31[index]; - CCTK_REAL J32L = J32[index]; - CCTK_REAL J33L = J33[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 */ - 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); - CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - 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); - CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - 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 Gtl111 = khalf*(J11L*PDstandardNth1gt11 + - J21L*PDstandardNth2gt11 + J31L*PDstandardNth3gt11); - - CCTK_REAL Gtl112 = khalf*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11); - - CCTK_REAL Gtl113 = khalf*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11); - - CCTK_REAL Gtl122 = J12L*PDstandardNth1gt12 - - J11L*khalf*PDstandardNth1gt22 + J22L*PDstandardNth2gt12 - - J21L*khalf*PDstandardNth2gt22 + J32L*PDstandardNth3gt12 - - J31L*khalf*PDstandardNth3gt22; - - CCTK_REAL Gtl123 = khalf*(J13L*PDstandardNth1gt12 + - J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 - - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 - J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl133 = J13L*PDstandardNth1gt13 - - J11L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt13 - - J21L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt13 - - J31L*khalf*PDstandardNth3gt33; - - CCTK_REAL Gtl211 = khalf*(-(J12L*PDstandardNth1gt11) + - 2*J11L*PDstandardNth1gt12 - J22L*PDstandardNth2gt11 + - 2*J21L*PDstandardNth2gt12 - J32L*PDstandardNth3gt11 + - 2*J31L*PDstandardNth3gt12); - - CCTK_REAL Gtl212 = khalf*(J11L*PDstandardNth1gt22 + - J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22); - - CCTK_REAL Gtl213 = khalf*(J13L*PDstandardNth1gt12 - - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + - J23L*PDstandardNth2gt12 - J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 + J33L*PDstandardNth3gt12 - - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl222 = khalf*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22); - - CCTK_REAL Gtl223 = khalf*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22); - - CCTK_REAL Gtl233 = J13L*PDstandardNth1gt23 - - J12L*khalf*PDstandardNth1gt33 + J23L*PDstandardNth2gt23 - - J22L*khalf*PDstandardNth2gt33 + J33L*PDstandardNth3gt23 - - J32L*khalf*PDstandardNth3gt33; - - CCTK_REAL Gtl311 = khalf*(-(J13L*PDstandardNth1gt11) + - 2*J11L*PDstandardNth1gt13 - J23L*PDstandardNth2gt11 + - 2*J21L*PDstandardNth2gt13 - J33L*PDstandardNth3gt11 + - 2*J31L*PDstandardNth3gt13); - - CCTK_REAL Gtl312 = khalf*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23); - - CCTK_REAL Gtl313 = khalf*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33); - - CCTK_REAL Gtl322 = khalf*(-(J13L*PDstandardNth1gt22) + - 2*J12L*PDstandardNth1gt23 - J23L*PDstandardNth2gt22 + - 2*J22L*PDstandardNth2gt23 - J33L*PDstandardNth3gt22 + - 2*J32L*PDstandardNth3gt23); - - CCTK_REAL Gtl323 = khalf*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33); - - CCTK_REAL Gtl333 = khalf*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33); - - CCTK_REAL Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; - - CCTK_REAL Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; - - CCTK_REAL Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; - - CCTK_REAL Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; - - CCTK_REAL Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; - - CCTK_REAL Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; - - CCTK_REAL Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; - - CCTK_REAL Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; - - CCTK_REAL Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; - - CCTK_REAL Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; - - CCTK_REAL Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; - - CCTK_REAL Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; - - CCTK_REAL Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; - - CCTK_REAL Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; - - CCTK_REAL Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; - - CCTK_REAL Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; - - CCTK_REAL Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; - - CCTK_REAL Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; - - CCTK_REAL Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; - - CCTK_REAL Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; - - CCTK_REAL Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; - - CCTK_REAL Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; - - CCTK_REAL Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; - - CCTK_REAL Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; - - CCTK_REAL Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; - - CCTK_REAL Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; - - CCTK_REAL Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; - - CCTK_REAL Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; - - CCTK_REAL Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; - - CCTK_REAL Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; - - CCTK_REAL Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; - - CCTK_REAL Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; - - CCTK_REAL Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; - - CCTK_REAL Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; - - CCTK_REAL Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; - - CCTK_REAL Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; - - CCTK_REAL Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; - - CCTK_REAL Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; - - CCTK_REAL Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; - - CCTK_REAL Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; - - CCTK_REAL Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; - - CCTK_REAL Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; - - CCTK_REAL Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; - - CCTK_REAL Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; - - CCTK_REAL Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; - - 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 = 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 + - J11L*(gt11L*PDstandardNth1Xt1 + gt12L*PDstandardNth1Xt2 + - gt13L*PDstandardNth1Xt3) + J21L*(gt11L*PDstandardNth2Xt1 + - gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3) + - J31L*(gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + - gt13L*PDstandardNth3Xt3) + Gtl111*Xtn1 + Gtl112*Xtn2 + Gtl113*Xtn3 + - khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt11 + - J12L*J21L*PDstandardNth12gt11 + J11L*J22L*PDstandardNth12gt11 + - J12L*J31L*PDstandardNth13gt11 + J11L*J32L*PDstandardNth13gt11 + - dJ112L*PDstandardNth1gt11 + J21L*J22L*PDstandardNth22gt11 + - J22L*J31L*PDstandardNth23gt11 + J21L*J32L*PDstandardNth23gt11 + - dJ212L*PDstandardNth2gt11 + J31L*J32L*PDstandardNth33gt11 + - dJ312L*PDstandardNth3gt11) + gtu31*(J11L*J13L*PDstandardNth11gt11 + - J13L*J21L*PDstandardNth12gt11 + J11L*J23L*PDstandardNth12gt11 + - J13L*J31L*PDstandardNth13gt11 + J11L*J33L*PDstandardNth13gt11 + - dJ113L*PDstandardNth1gt11 + J21L*J23L*PDstandardNth22gt11 + - J23L*J31L*PDstandardNth23gt11 + J21L*J33L*PDstandardNth23gt11 + - dJ213L*PDstandardNth2gt11 + J31L*J33L*PDstandardNth33gt11 + - dJ313L*PDstandardNth3gt11) + gtu32*(J12L*J13L*PDstandardNth11gt11 + - J13L*J22L*PDstandardNth12gt11 + J12L*J23L*PDstandardNth12gt11 + - J13L*J32L*PDstandardNth13gt11 + J12L*J33L*PDstandardNth13gt11 + - dJ123L*PDstandardNth1gt11 + J22L*J23L*PDstandardNth22gt11 + - J23L*J32L*PDstandardNth23gt11 + J22L*J33L*PDstandardNth23gt11 + - dJ223L*PDstandardNth2gt11 + J32L*J33L*PDstandardNth33gt11 + - dJ323L*PDstandardNth3gt11)) - gtu11*(2*J11L*J21L*PDstandardNth12gt11 + - 2*J11L*J31L*PDstandardNth13gt11 + dJ111L*PDstandardNth1gt11 + - 2*J21L*J31L*PDstandardNth23gt11 + dJ211L*PDstandardNth2gt11 + - dJ311L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J11L) + - PDstandardNth22gt11*SQR(J21L) + PDstandardNth33gt11*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt11 + - 2*J12L*J32L*PDstandardNth13gt11 + dJ122L*PDstandardNth1gt11 + - 2*J22L*J32L*PDstandardNth23gt11 + dJ222L*PDstandardNth2gt11 + - dJ322L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J12L) + - PDstandardNth22gt11*SQR(J22L) + PDstandardNth33gt11*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt11 + - 2*J13L*J33L*PDstandardNth13gt11 + dJ133L*PDstandardNth1gt11 + - 2*J23L*J33L*PDstandardNth23gt11 + dJ233L*PDstandardNth2gt11 + - dJ333L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J13L) + - PDstandardNth22gt11*SQR(J23L) + PDstandardNth33gt11*SQR(J33L))); - - CCTK_REAL Rt12 = Gt122*Gtlu112 + Gt123*Gtlu113 + (Gt111 + - Gt212)*Gtlu121 + Gt222*Gtlu122 + (Gt113 + Gt223)*Gtlu123 + - Gt322*Gtlu132 + Gt323*Gtlu133 + Gt111*Gtlu211 + Gt112*(Gtlu111 + - Gtlu122 + Gtlu212) + Gt113*Gtlu213 + 2*(Gt211*Gtlu221 + Gt212*Gtlu222 + - Gt213*Gtlu223) + Gt311*(Gtlu231 + Gtlu321) + Gt312*(Gtlu131 + Gtlu232 + - Gtlu322) + Gt313*(Gtlu233 + Gtlu323) + khalf*((gt12L*J11L + - gt11L*J12L)*PDstandardNth1Xt1 + (gt22L*J11L + - gt12L*J12L)*PDstandardNth1Xt2 + (gt23L*J11L + - gt13L*J12L)*PDstandardNth1Xt3 + (gt12L*J21L + - gt11L*J22L)*PDstandardNth2Xt1 + (gt22L*J21L + - gt12L*J22L)*PDstandardNth2Xt2 + (gt23L*J21L + - gt13L*J22L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt12 - + J12L*J21L*PDstandardNth12gt12 + J11L*J22L*PDstandardNth12gt12 + - J12L*J31L*PDstandardNth13gt12 + J11L*J32L*PDstandardNth13gt12 + - dJ112L*PDstandardNth1gt12 + J21L*J22L*PDstandardNth22gt12 + - J22L*J31L*PDstandardNth23gt12 + J21L*J32L*PDstandardNth23gt12 + - dJ212L*PDstandardNth2gt12 + J31L*J32L*PDstandardNth33gt12 + - dJ312L*PDstandardNth3gt12) + gtu31*(J11L*J13L*PDstandardNth11gt12 + - J13L*J21L*PDstandardNth12gt12 + J11L*J23L*PDstandardNth12gt12 + - J13L*J31L*PDstandardNth13gt12 + J11L*J33L*PDstandardNth13gt12 + - dJ113L*PDstandardNth1gt12 + J21L*J23L*PDstandardNth22gt12 + - J23L*J31L*PDstandardNth23gt12 + J21L*J33L*PDstandardNth23gt12 + - dJ213L*PDstandardNth2gt12 + J31L*J33L*PDstandardNth33gt12 + - dJ313L*PDstandardNth3gt12) + gtu32*(J12L*J13L*PDstandardNth11gt12 + - J13L*J22L*PDstandardNth12gt12 + J12L*J23L*PDstandardNth12gt12 + - J13L*J32L*PDstandardNth13gt12 + J12L*J33L*PDstandardNth13gt12 + - dJ123L*PDstandardNth1gt12 + J22L*J23L*PDstandardNth22gt12 + - J23L*J32L*PDstandardNth23gt12 + J22L*J33L*PDstandardNth23gt12 + - dJ223L*PDstandardNth2gt12 + J32L*J33L*PDstandardNth33gt12 + - dJ323L*PDstandardNth3gt12)) + (gt12L*J31L + - gt11L*J32L)*PDstandardNth3Xt1 + (gt22L*J31L + - gt12L*J32L)*PDstandardNth3Xt2 + (gt23L*J31L + - gt13L*J32L)*PDstandardNth3Xt3 + (Gtl112 + Gtl211)*Xtn1 + (Gtl122 + - Gtl212)*Xtn2 + (Gtl123 + Gtl213)*Xtn3 - - gtu11*(2*J11L*J21L*PDstandardNth12gt12 + - 2*J11L*J31L*PDstandardNth13gt12 + dJ111L*PDstandardNth1gt12 + - 2*J21L*J31L*PDstandardNth23gt12 + dJ211L*PDstandardNth2gt12 + - dJ311L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J11L) + - PDstandardNth22gt12*SQR(J21L) + PDstandardNth33gt12*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt12 + - 2*J12L*J32L*PDstandardNth13gt12 + dJ122L*PDstandardNth1gt12 + - 2*J22L*J32L*PDstandardNth23gt12 + dJ222L*PDstandardNth2gt12 + - dJ322L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J12L) + - PDstandardNth22gt12*SQR(J22L) + PDstandardNth33gt12*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt12 + - 2*J13L*J33L*PDstandardNth13gt12 + dJ133L*PDstandardNth1gt12 + - 2*J23L*J33L*PDstandardNth23gt12 + dJ233L*PDstandardNth2gt12 + - dJ333L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J13L) + - PDstandardNth22gt12*SQR(J23L) + PDstandardNth33gt12*SQR(J33L))); - - CCTK_REAL Rt13 = Gt123*Gtlu112 + Gt133*Gtlu113 + Gt223*Gtlu122 + - Gt233*Gtlu123 + (Gt111 + Gt313)*Gtlu131 + (Gt112 + Gt323)*Gtlu132 + - Gt333*Gtlu133 + Gt111*Gtlu311 + Gt112*Gtlu312 + Gt113*(Gtlu111 + - Gtlu133 + Gtlu313) + Gt211*(Gtlu231 + Gtlu321) + Gt212*(Gtlu232 + - Gtlu322) + Gt213*(Gtlu121 + Gtlu233 + Gtlu323) + 2*(Gt311*Gtlu331 + - Gt312*Gtlu332 + Gt313*Gtlu333) + khalf*((gt13L*J11L + - gt11L*J13L)*PDstandardNth1Xt1 + (gt23L*J11L + - gt12L*J13L)*PDstandardNth1Xt2 + (gt33L*J11L + - gt13L*J13L)*PDstandardNth1Xt3 + (gt13L*J21L + - gt11L*J23L)*PDstandardNth2Xt1 + (gt23L*J21L + - gt12L*J23L)*PDstandardNth2Xt2 + (gt33L*J21L + - gt13L*J23L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt13 - + J12L*J21L*PDstandardNth12gt13 + J11L*J22L*PDstandardNth12gt13 + - J12L*J31L*PDstandardNth13gt13 + J11L*J32L*PDstandardNth13gt13 + - dJ112L*PDstandardNth1gt13 + J21L*J22L*PDstandardNth22gt13 + - J22L*J31L*PDstandardNth23gt13 + J21L*J32L*PDstandardNth23gt13 + - dJ212L*PDstandardNth2gt13 + J31L*J32L*PDstandardNth33gt13 + - dJ312L*PDstandardNth3gt13) + gtu31*(J11L*J13L*PDstandardNth11gt13 + - J13L*J21L*PDstandardNth12gt13 + J11L*J23L*PDstandardNth12gt13 + - J13L*J31L*PDstandardNth13gt13 + J11L*J33L*PDstandardNth13gt13 + - dJ113L*PDstandardNth1gt13 + J21L*J23L*PDstandardNth22gt13 + - J23L*J31L*PDstandardNth23gt13 + J21L*J33L*PDstandardNth23gt13 + - dJ213L*PDstandardNth2gt13 + J31L*J33L*PDstandardNth33gt13 + - dJ313L*PDstandardNth3gt13) + gtu32*(J12L*J13L*PDstandardNth11gt13 + - J13L*J22L*PDstandardNth12gt13 + J12L*J23L*PDstandardNth12gt13 + - J13L*J32L*PDstandardNth13gt13 + J12L*J33L*PDstandardNth13gt13 + - dJ123L*PDstandardNth1gt13 + J22L*J23L*PDstandardNth22gt13 + - J23L*J32L*PDstandardNth23gt13 + J22L*J33L*PDstandardNth23gt13 + - dJ223L*PDstandardNth2gt13 + J32L*J33L*PDstandardNth33gt13 + - dJ323L*PDstandardNth3gt13)) + (gt13L*J31L + - gt11L*J33L)*PDstandardNth3Xt1 + (gt23L*J31L + - gt12L*J33L)*PDstandardNth3Xt2 + (gt33L*J31L + - gt13L*J33L)*PDstandardNth3Xt3 + (Gtl113 + Gtl311)*Xtn1 + (Gtl123 + - Gtl312)*Xtn2 + (Gtl133 + Gtl313)*Xtn3 - - gtu11*(2*J11L*J21L*PDstandardNth12gt13 + - 2*J11L*J31L*PDstandardNth13gt13 + dJ111L*PDstandardNth1gt13 + - 2*J21L*J31L*PDstandardNth23gt13 + dJ211L*PDstandardNth2gt13 + - dJ311L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J11L) + - PDstandardNth22gt13*SQR(J21L) + PDstandardNth33gt13*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt13 + - 2*J12L*J32L*PDstandardNth13gt13 + dJ122L*PDstandardNth1gt13 + - 2*J22L*J32L*PDstandardNth23gt13 + dJ222L*PDstandardNth2gt13 + - dJ322L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J12L) + - PDstandardNth22gt13*SQR(J22L) + PDstandardNth33gt13*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt13 + - 2*J13L*J33L*PDstandardNth13gt13 + dJ133L*PDstandardNth1gt13 + - 2*J23L*J33L*PDstandardNth23gt13 + dJ233L*PDstandardNth2gt13 + - dJ333L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J13L) + - PDstandardNth22gt13*SQR(J23L) + PDstandardNth33gt13*SQR(J33L))); - - 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 + - J12L*(gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + - gt23L*PDstandardNth1Xt3) + J22L*(gt12L*PDstandardNth2Xt1 + - gt22L*PDstandardNth2Xt2 + gt23L*PDstandardNth2Xt3) + - J32L*(gt12L*PDstandardNth3Xt1 + gt22L*PDstandardNth3Xt2 + - gt23L*PDstandardNth3Xt3) + Gtl212*Xtn1 + Gtl222*Xtn2 + Gtl223*Xtn3 + - khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt22 + - J12L*J21L*PDstandardNth12gt22 + J11L*J22L*PDstandardNth12gt22 + - J12L*J31L*PDstandardNth13gt22 + J11L*J32L*PDstandardNth13gt22 + - dJ112L*PDstandardNth1gt22 + J21L*J22L*PDstandardNth22gt22 + - J22L*J31L*PDstandardNth23gt22 + J21L*J32L*PDstandardNth23gt22 + - dJ212L*PDstandardNth2gt22 + J31L*J32L*PDstandardNth33gt22 + - dJ312L*PDstandardNth3gt22) + gtu31*(J11L*J13L*PDstandardNth11gt22 + - J13L*J21L*PDstandardNth12gt22 + J11L*J23L*PDstandardNth12gt22 + - J13L*J31L*PDstandardNth13gt22 + J11L*J33L*PDstandardNth13gt22 + - dJ113L*PDstandardNth1gt22 + J21L*J23L*PDstandardNth22gt22 + - J23L*J31L*PDstandardNth23gt22 + J21L*J33L*PDstandardNth23gt22 + - dJ213L*PDstandardNth2gt22 + J31L*J33L*PDstandardNth33gt22 + - dJ313L*PDstandardNth3gt22) + gtu32*(J12L*J13L*PDstandardNth11gt22 + - J13L*J22L*PDstandardNth12gt22 + J12L*J23L*PDstandardNth12gt22 + - J13L*J32L*PDstandardNth13gt22 + J12L*J33L*PDstandardNth13gt22 + - dJ123L*PDstandardNth1gt22 + J22L*J23L*PDstandardNth22gt22 + - J23L*J32L*PDstandardNth23gt22 + J22L*J33L*PDstandardNth23gt22 + - dJ223L*PDstandardNth2gt22 + J32L*J33L*PDstandardNth33gt22 + - dJ323L*PDstandardNth3gt22)) - gtu11*(2*J11L*J21L*PDstandardNth12gt22 + - 2*J11L*J31L*PDstandardNth13gt22 + dJ111L*PDstandardNth1gt22 + - 2*J21L*J31L*PDstandardNth23gt22 + dJ211L*PDstandardNth2gt22 + - dJ311L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J11L) + - PDstandardNth22gt22*SQR(J21L) + PDstandardNth33gt22*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt22 + - 2*J12L*J32L*PDstandardNth13gt22 + dJ122L*PDstandardNth1gt22 + - 2*J22L*J32L*PDstandardNth23gt22 + dJ222L*PDstandardNth2gt22 + - dJ322L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J12L) + - PDstandardNth22gt22*SQR(J22L) + PDstandardNth33gt22*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt22 + - 2*J13L*J33L*PDstandardNth13gt22 + dJ133L*PDstandardNth1gt22 + - 2*J23L*J33L*PDstandardNth23gt22 + dJ233L*PDstandardNth2gt22 + - dJ333L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J13L) + - PDstandardNth22gt22*SQR(J23L) + PDstandardNth33gt22*SQR(J33L))); - - CCTK_REAL Rt23 = Gt113*Gtlu211 + Gt133*Gtlu213 + Gt213*Gtlu221 + - Gt233*Gtlu223 + (Gt212 + Gt313)*Gtlu231 + (Gt222 + Gt323)*Gtlu232 + - Gt333*Gtlu233 + Gt112*(Gtlu131 + Gtlu311) + Gt122*(Gtlu132 + Gtlu312) + - Gt123*(Gtlu133 + Gtlu212 + Gtlu313) + Gt212*Gtlu321 + Gt222*Gtlu322 + - Gt223*(Gtlu222 + Gtlu233 + Gtlu323) + 2*(Gt312*Gtlu331 + Gt322*Gtlu332 - + Gt323*Gtlu333) + khalf*((gt13L*J12L + gt12L*J13L)*PDstandardNth1Xt1 + - (gt23L*J12L + gt22L*J13L)*PDstandardNth1Xt2 + (gt33L*J12L + - gt23L*J13L)*PDstandardNth1Xt3 + (gt13L*J22L + - gt12L*J23L)*PDstandardNth2Xt1 + (gt23L*J22L + - gt22L*J23L)*PDstandardNth2Xt2 + (gt33L*J22L + - gt23L*J23L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt23 - + J12L*J21L*PDstandardNth12gt23 + J11L*J22L*PDstandardNth12gt23 + - J12L*J31L*PDstandardNth13gt23 + J11L*J32L*PDstandardNth13gt23 + - dJ112L*PDstandardNth1gt23 + J21L*J22L*PDstandardNth22gt23 + - J22L*J31L*PDstandardNth23gt23 + J21L*J32L*PDstandardNth23gt23 + - dJ212L*PDstandardNth2gt23 + J31L*J32L*PDstandardNth33gt23 + - dJ312L*PDstandardNth3gt23) + gtu31*(J11L*J13L*PDstandardNth11gt23 + - J13L*J21L*PDstandardNth12gt23 + J11L*J23L*PDstandardNth12gt23 + - J13L*J31L*PDstandardNth13gt23 + J11L*J33L*PDstandardNth13gt23 + - dJ113L*PDstandardNth1gt23 + J21L*J23L*PDstandardNth22gt23 + - J23L*J31L*PDstandardNth23gt23 + J21L*J33L*PDstandardNth23gt23 + - dJ213L*PDstandardNth2gt23 + J31L*J33L*PDstandardNth33gt23 + - dJ313L*PDstandardNth3gt23) + gtu32*(J12L*J13L*PDstandardNth11gt23 + - J13L*J22L*PDstandardNth12gt23 + J12L*J23L*PDstandardNth12gt23 + - J13L*J32L*PDstandardNth13gt23 + J12L*J33L*PDstandardNth13gt23 + - dJ123L*PDstandardNth1gt23 + J22L*J23L*PDstandardNth22gt23 + - J23L*J32L*PDstandardNth23gt23 + J22L*J33L*PDstandardNth23gt23 + - dJ223L*PDstandardNth2gt23 + J32L*J33L*PDstandardNth33gt23 + - dJ323L*PDstandardNth3gt23)) + (gt13L*J32L + - gt12L*J33L)*PDstandardNth3Xt1 + (gt23L*J32L + - gt22L*J33L)*PDstandardNth3Xt2 + (gt33L*J32L + - gt23L*J33L)*PDstandardNth3Xt3 + (Gtl213 + Gtl312)*Xtn1 + (Gtl223 + - Gtl322)*Xtn2 + (Gtl233 + Gtl323)*Xtn3 - - gtu11*(2*J11L*J21L*PDstandardNth12gt23 + - 2*J11L*J31L*PDstandardNth13gt23 + dJ111L*PDstandardNth1gt23 + - 2*J21L*J31L*PDstandardNth23gt23 + dJ211L*PDstandardNth2gt23 + - dJ311L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J11L) + - PDstandardNth22gt23*SQR(J21L) + PDstandardNth33gt23*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt23 + - 2*J12L*J32L*PDstandardNth13gt23 + dJ122L*PDstandardNth1gt23 + - 2*J22L*J32L*PDstandardNth23gt23 + dJ222L*PDstandardNth2gt23 + - dJ322L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J12L) + - PDstandardNth22gt23*SQR(J22L) + PDstandardNth33gt23*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt23 + - 2*J13L*J33L*PDstandardNth13gt23 + dJ133L*PDstandardNth1gt23 + - 2*J23L*J33L*PDstandardNth23gt23 + dJ233L*PDstandardNth2gt23 + - dJ333L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J13L) + - PDstandardNth22gt23*SQR(J23L) + PDstandardNth33gt23*SQR(J33L))); - - 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) + - J13L*(gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + - gt33L*PDstandardNth1Xt3) + J23L*(gt13L*PDstandardNth2Xt1 + - gt23L*PDstandardNth2Xt2 + gt33L*PDstandardNth2Xt3) + - J33L*(gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + - gt33L*PDstandardNth3Xt3) + Gtl313*Xtn1 + Gtl323*Xtn2 + Gtl333*Xtn3 + - khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt33 + - J12L*J21L*PDstandardNth12gt33 + J11L*J22L*PDstandardNth12gt33 + - J12L*J31L*PDstandardNth13gt33 + J11L*J32L*PDstandardNth13gt33 + - dJ112L*PDstandardNth1gt33 + J21L*J22L*PDstandardNth22gt33 + - J22L*J31L*PDstandardNth23gt33 + J21L*J32L*PDstandardNth23gt33 + - dJ212L*PDstandardNth2gt33 + J31L*J32L*PDstandardNth33gt33 + - dJ312L*PDstandardNth3gt33) + gtu31*(J11L*J13L*PDstandardNth11gt33 + - J13L*J21L*PDstandardNth12gt33 + J11L*J23L*PDstandardNth12gt33 + - J13L*J31L*PDstandardNth13gt33 + J11L*J33L*PDstandardNth13gt33 + - dJ113L*PDstandardNth1gt33 + J21L*J23L*PDstandardNth22gt33 + - J23L*J31L*PDstandardNth23gt33 + J21L*J33L*PDstandardNth23gt33 + - dJ213L*PDstandardNth2gt33 + J31L*J33L*PDstandardNth33gt33 + - dJ313L*PDstandardNth3gt33) + gtu32*(J12L*J13L*PDstandardNth11gt33 + - J13L*J22L*PDstandardNth12gt33 + J12L*J23L*PDstandardNth12gt33 + - J13L*J32L*PDstandardNth13gt33 + J12L*J33L*PDstandardNth13gt33 + - dJ123L*PDstandardNth1gt33 + J22L*J23L*PDstandardNth22gt33 + - J23L*J32L*PDstandardNth23gt33 + J22L*J33L*PDstandardNth23gt33 + - dJ223L*PDstandardNth2gt33 + J32L*J33L*PDstandardNth33gt33 + - dJ323L*PDstandardNth3gt33)) - gtu11*(2*J11L*J21L*PDstandardNth12gt33 + - 2*J11L*J31L*PDstandardNth13gt33 + dJ111L*PDstandardNth1gt33 + - 2*J21L*J31L*PDstandardNth23gt33 + dJ211L*PDstandardNth2gt33 + - dJ311L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J11L) + - PDstandardNth22gt33*SQR(J21L) + PDstandardNth33gt33*SQR(J31L)) - - gtu22*(2*J12L*J22L*PDstandardNth12gt33 + - 2*J12L*J32L*PDstandardNth13gt33 + dJ122L*PDstandardNth1gt33 + - 2*J22L*J32L*PDstandardNth23gt33 + dJ222L*PDstandardNth2gt33 + - dJ322L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J12L) + - PDstandardNth22gt33*SQR(J22L) + PDstandardNth33gt33*SQR(J32L)) - - gtu33*(2*J13L*J23L*PDstandardNth12gt33 + - 2*J13L*J33L*PDstandardNth13gt33 + dJ133L*PDstandardNth1gt33 + - 2*J23L*J33L*PDstandardNth23gt33 + dJ233L*PDstandardNth2gt33 + - dJ333L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J13L) + - PDstandardNth22gt33*SQR(J23L) + PDstandardNth33gt33*SQR(J33L))); - - CCTK_REAL fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - CCTK_REAL cdphi1 = fac1*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - - CCTK_REAL cdphi2 = fac1*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - - CCTK_REAL cdphi3 = fac1*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - - CCTK_REAL fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - - CCTK_REAL cdphi211 = fac1*((dJ111L - Gt111*J11L - Gt211*J12L - - Gt311*J13L)*PDstandardNth1phi + 2*(J11L*(J21L*PDstandardNth12phi + - J31L*PDstandardNth13phi) + J21L*J31L*PDstandardNth23phi) + (dJ211L - - Gt111*J21L - Gt211*J22L - Gt311*J23L)*PDstandardNth2phi + (dJ311L - - Gt111*J31L - Gt211*J32L - Gt311*J33L)*PDstandardNth3phi + - PDstandardNth11phi*SQR(J11L) + PDstandardNth22phi*SQR(J21L) + - PDstandardNth33phi*SQR(J31L)) + fac2*SQR(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - - CCTK_REAL cdphi212 = fac2*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + - J31L*PDstandardNth3phi)*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi) + - fac1*(J12L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + - J31L*PDstandardNth13phi) + J11L*(J22L*PDstandardNth12phi + - J32L*PDstandardNth13phi) + (dJ112L - Gt112*J11L - Gt212*J12L - - Gt312*J13L)*PDstandardNth1phi + J22L*(J21L*PDstandardNth22phi + - J31L*PDstandardNth23phi) + (dJ212L - Gt112*J21L - Gt212*J22L - - Gt312*J23L)*PDstandardNth2phi + J32L*(J21L*PDstandardNth23phi + - J31L*PDstandardNth33phi) + (dJ312L - Gt112*J31L - Gt212*J32L - - Gt312*J33L)*PDstandardNth3phi); - - CCTK_REAL cdphi213 = fac2*(J11L*PDstandardNth1phi + - J21L*PDstandardNth2phi + - J31L*PDstandardNth3phi)*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + - fac1*(J13L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + - J31L*PDstandardNth13phi) + J11L*(J23L*PDstandardNth12phi + - J33L*PDstandardNth13phi) + (dJ113L - Gt113*J11L - Gt213*J12L - - Gt313*J13L)*PDstandardNth1phi + J23L*(J21L*PDstandardNth22phi + - J31L*PDstandardNth23phi) + (dJ213L - Gt113*J21L - Gt213*J22L - - Gt313*J23L)*PDstandardNth2phi + J33L*(J21L*PDstandardNth23phi + - J31L*PDstandardNth33phi) + (dJ313L - Gt113*J31L - Gt213*J32L - - Gt313*J33L)*PDstandardNth3phi); - - CCTK_REAL cdphi222 = fac1*((dJ122L - Gt122*J11L - Gt222*J12L - - Gt322*J13L)*PDstandardNth1phi + 2*(J12L*(J22L*PDstandardNth12phi + - J32L*PDstandardNth13phi) + J22L*J32L*PDstandardNth23phi) + (dJ222L - - Gt122*J21L - Gt222*J22L - Gt322*J23L)*PDstandardNth2phi + (dJ322L - - Gt122*J31L - Gt222*J32L - Gt322*J33L)*PDstandardNth3phi + - PDstandardNth11phi*SQR(J12L) + PDstandardNth22phi*SQR(J22L) + - PDstandardNth33phi*SQR(J32L)) + fac2*SQR(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - - CCTK_REAL cdphi223 = fac2*(J12L*PDstandardNth1phi + - J22L*PDstandardNth2phi + - J32L*PDstandardNth3phi)*(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + - fac1*(J13L*(J12L*PDstandardNth11phi + J22L*PDstandardNth12phi + - J32L*PDstandardNth13phi) + J12L*(J23L*PDstandardNth12phi + - J33L*PDstandardNth13phi) + (dJ123L - Gt123*J11L - Gt223*J12L - - Gt323*J13L)*PDstandardNth1phi + J23L*(J22L*PDstandardNth22phi + - J32L*PDstandardNth23phi) + (dJ223L - Gt123*J21L - Gt223*J22L - - Gt323*J23L)*PDstandardNth2phi + J33L*(J22L*PDstandardNth23phi + - J32L*PDstandardNth33phi) + (dJ323L - Gt123*J31L - Gt223*J32L - - Gt323*J33L)*PDstandardNth3phi); - - CCTK_REAL cdphi233 = fac1*((dJ133L - Gt133*J11L - Gt233*J12L - - Gt333*J13L)*PDstandardNth1phi + 2*(J13L*(J23L*PDstandardNth12phi + - J33L*PDstandardNth13phi) + J23L*J33L*PDstandardNth23phi) + (dJ233L - - Gt133*J21L - Gt233*J22L - Gt333*J23L)*PDstandardNth2phi + (dJ333L - - Gt133*J31L - Gt233*J32L - Gt333*J33L)*PDstandardNth3phi + - PDstandardNth11phi*SQR(J13L) + PDstandardNth22phi*SQR(J23L) + - PDstandardNth33phi*SQR(J33L)) + fac2*SQR(J13L*PDstandardNth1phi + - J23L*PDstandardNth2phi + J33L*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 Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - CCTK_REAL em4phi = INV(e4phi); - - CCTK_REAL g11 = e4phi*gt11L; - - CCTK_REAL g12 = e4phi*gt12L; - - CCTK_REAL g13 = e4phi*gt13L; - - CCTK_REAL g22 = e4phi*gt22L; - - CCTK_REAL g23 = e4phi*gt23L; - - CCTK_REAL g33 = e4phi*gt33L; - - 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 R23 = Rphi23 + Rt23; - - CCTK_REAL R33 = Rphi33 + Rt33; - - CCTK_REAL trS = eTxxL*gu11 + eTyyL*gu22 + 2*(eTxyL*gu21 + eTxzL*gu31 + - eTyzL*gu32) + eTzzL*gu33; - - CCTK_REAL Ats11 = (-dJ111L + 4*cdphi1*J11L + Gt111*J11L + Gt211*J12L + - Gt311*J13L)*PDstandardNth1alpha - 2*(J11L*J21L*PDstandardNth12alpha + - J11L*J31L*PDstandardNth13alpha + J21L*J31L*PDstandardNth23alpha) + - (-dJ211L + 4*cdphi1*J21L + Gt111*J21L + Gt211*J22L + - Gt311*J23L)*PDstandardNth2alpha + (-dJ311L + 4*cdphi1*J31L + Gt111*J31L - + Gt211*J32L + Gt311*J33L)*PDstandardNth3alpha + alphaL*R11 - - PDstandardNth11alpha*SQR(J11L) - PDstandardNth22alpha*SQR(J21L) - - PDstandardNth33alpha*SQR(J31L); - - CCTK_REAL Ats12 = -(J11L*J12L*PDstandardNth11alpha) - - J12L*J21L*PDstandardNth12alpha - J11L*J22L*PDstandardNth12alpha - - J12L*J31L*PDstandardNth13alpha - J11L*J32L*PDstandardNth13alpha + - (-dJ112L + 2*cdphi2*J11L + Gt112*J11L + 2*cdphi1*J12L + Gt212*J12L + - Gt312*J13L)*PDstandardNth1alpha - J21L*J22L*PDstandardNth22alpha - - J22L*J31L*PDstandardNth23alpha - J21L*J32L*PDstandardNth23alpha + - (-dJ212L + 2*cdphi2*J21L + Gt112*J21L + 2*cdphi1*J22L + Gt212*J22L + - Gt312*J23L)*PDstandardNth2alpha - J31L*J32L*PDstandardNth33alpha - - dJ312L*PDstandardNth3alpha + 2*cdphi2*J31L*PDstandardNth3alpha + - Gt112*J31L*PDstandardNth3alpha + 2*cdphi1*J32L*PDstandardNth3alpha + - Gt212*J32L*PDstandardNth3alpha + Gt312*J33L*PDstandardNth3alpha + - alphaL*R12; - - CCTK_REAL Ats13 = -(J11L*J13L*PDstandardNth11alpha) - - J13L*J21L*PDstandardNth12alpha - J11L*J23L*PDstandardNth12alpha - - J13L*J31L*PDstandardNth13alpha - J11L*J33L*PDstandardNth13alpha + - (-dJ113L + 2*cdphi3*J11L + Gt113*J11L + Gt213*J12L + 2*cdphi1*J13L + - Gt313*J13L)*PDstandardNth1alpha - J21L*J23L*PDstandardNth22alpha - - J23L*J31L*PDstandardNth23alpha - J21L*J33L*PDstandardNth23alpha + - (-dJ213L + 2*cdphi3*J21L + Gt113*J21L + Gt213*J22L + 2*cdphi1*J23L + - Gt313*J23L)*PDstandardNth2alpha - J31L*J33L*PDstandardNth33alpha - - dJ313L*PDstandardNth3alpha + 2*cdphi3*J31L*PDstandardNth3alpha + - Gt113*J31L*PDstandardNth3alpha + Gt213*J32L*PDstandardNth3alpha + - 2*cdphi1*J33L*PDstandardNth3alpha + Gt313*J33L*PDstandardNth3alpha + - alphaL*R13; - - CCTK_REAL Ats22 = (-dJ122L + Gt122*J11L + 4*cdphi2*J12L + Gt222*J12L + - Gt322*J13L)*PDstandardNth1alpha - 2*(J12L*J22L*PDstandardNth12alpha + - J12L*J32L*PDstandardNth13alpha + J22L*J32L*PDstandardNth23alpha) + - (-dJ222L + Gt122*J21L + 4*cdphi2*J22L + Gt222*J22L + - Gt322*J23L)*PDstandardNth2alpha + (-dJ322L + Gt122*J31L + 4*cdphi2*J32L - + Gt222*J32L + Gt322*J33L)*PDstandardNth3alpha + alphaL*R22 - - PDstandardNth11alpha*SQR(J12L) - PDstandardNth22alpha*SQR(J22L) - - PDstandardNth33alpha*SQR(J32L); - - CCTK_REAL Ats23 = -(J12L*J13L*PDstandardNth11alpha) - - J13L*J22L*PDstandardNth12alpha - J12L*J23L*PDstandardNth12alpha - - J13L*J32L*PDstandardNth13alpha - J12L*J33L*PDstandardNth13alpha + - (-dJ123L + Gt123*J11L + 2*cdphi3*J12L + Gt223*J12L + 2*cdphi2*J13L + - Gt323*J13L)*PDstandardNth1alpha - J22L*J23L*PDstandardNth22alpha - - J23L*J32L*PDstandardNth23alpha - J22L*J33L*PDstandardNth23alpha + - (-dJ223L + Gt123*J21L + 2*cdphi3*J22L + Gt223*J22L + 2*cdphi2*J23L + - Gt323*J23L)*PDstandardNth2alpha - J32L*J33L*PDstandardNth33alpha - - dJ323L*PDstandardNth3alpha + Gt123*J31L*PDstandardNth3alpha + - 2*cdphi3*J32L*PDstandardNth3alpha + Gt223*J32L*PDstandardNth3alpha + - 2*cdphi2*J33L*PDstandardNth3alpha + Gt323*J33L*PDstandardNth3alpha + - alphaL*R23; - - CCTK_REAL Ats33 = (-dJ133L + Gt133*J11L + Gt233*J12L + 4*cdphi3*J13L + - Gt333*J13L)*PDstandardNth1alpha - 2*(J13L*J23L*PDstandardNth12alpha + - J13L*J33L*PDstandardNth13alpha + J23L*J33L*PDstandardNth23alpha) + - (-dJ233L + Gt133*J21L + Gt233*J22L + 4*cdphi3*J23L + - Gt333*J23L)*PDstandardNth2alpha + (-dJ333L + Gt133*J31L + Gt233*J32L + - 4*cdphi3*J33L + Gt333*J33L)*PDstandardNth3alpha + alphaL*R33 - - PDstandardNth11alpha*SQR(J13L) - PDstandardNth22alpha*SQR(J23L) - - PDstandardNth33alpha*SQR(J33L); - - CCTK_REAL trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + Ats13*gu31 - + Ats23*gu32) + Ats33*gu33; - - CCTK_REAL At11rhsL = PDupwindNth1(At11, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(At11, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At11, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - - At11L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J11L*(At11L*PDstandardNth1beta1 + - At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + - J21L*(At11L*PDstandardNth2beta1 + At12L*PDstandardNth2beta2 + - At13L*PDstandardNth2beta3) + J31L*(At11L*PDstandardNth3beta1 + - At12L*PDstandardNth3beta2 + At13L*PDstandardNth3beta3)) + - alphaL*(-2*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + At11L*trKL) + - em4phi*(Ats11 - g11*kthird*trAts - - 25.13274122871834590770114706623602307358*alphaL*(eTxxL - - g11*kthird*trS)); - - CCTK_REAL At12rhsL = PDupwindNth1(At12, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(At12, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At12, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - (0.3333333333333333333333333333333333333333*At12L*J11L + - At11L*J12L)*PDstandardNth1beta1 + (At22L*J11L + - 0.3333333333333333333333333333333333333333*At12L*J12L)*PDstandardNth1beta2 - + (At23L*J11L + At13L*J12L - - 0.6666666666666666666666666666666666666667*At12L*J13L)*PDstandardNth1beta3 - + (0.3333333333333333333333333333333333333333*At12L*J21L + - At11L*J22L)*PDstandardNth2beta1 + (At22L*J21L + - 0.3333333333333333333333333333333333333333*At12L*J22L)*PDstandardNth2beta2 - + (At23L*J21L + At13L*J22L - - 0.6666666666666666666666666666666666666667*At12L*J23L)*PDstandardNth2beta3 - + (0.3333333333333333333333333333333333333333*At12L*J31L + - At11L*J32L)*PDstandardNth3beta1 + (At22L*J31L + - 0.3333333333333333333333333333333333333333*At12L*J32L)*PDstandardNth3beta2 - + (At23L*J31L + At13L*J32L - - 0.6666666666666666666666666666666666666667*At12L*J33L)*PDstandardNth3beta3 - + alphaL*(-2.*(At11L*Atm12 + At12L*Atm22 + At13L*Atm32) + At12L*trKL) + - em4phi*(Ats12 - 0.3333333333333333333333333333333333333333*g12*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTxyL + - 8.377580409572781969233715688745341024526*g12*trS)); - - CCTK_REAL At13rhsL = PDupwindNth1(At13, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(At13, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At13, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - (0.3333333333333333333333333333333333333333*At13L*J11L + - At11L*J13L)*PDstandardNth1beta1 + (At23L*J11L - - 0.6666666666666666666666666666666666666667*At13L*J12L + - At12L*J13L)*PDstandardNth1beta2 + (At33L*J11L + - 0.3333333333333333333333333333333333333333*At13L*J13L)*PDstandardNth1beta3 - + (0.3333333333333333333333333333333333333333*At13L*J21L + - At11L*J23L)*PDstandardNth2beta1 + (At23L*J21L - - 0.6666666666666666666666666666666666666667*At13L*J22L + - At12L*J23L)*PDstandardNth2beta2 + (At33L*J21L + - 0.3333333333333333333333333333333333333333*At13L*J23L)*PDstandardNth2beta3 - + (0.3333333333333333333333333333333333333333*At13L*J31L + - At11L*J33L)*PDstandardNth3beta1 + (At23L*J31L - - 0.6666666666666666666666666666666666666667*At13L*J32L + - At12L*J33L)*PDstandardNth3beta2 + (At33L*J31L + - 0.3333333333333333333333333333333333333333*At13L*J33L)*PDstandardNth3beta3 - + alphaL*(-2.*(At11L*Atm13 + At12L*Atm23 + At13L*Atm33) + At13L*trKL) + - em4phi*(Ats13 - 0.3333333333333333333333333333333333333333*g13*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTxzL + - 8.377580409572781969233715688745341024526*g13*trS)); - - CCTK_REAL At22rhsL = PDupwindNth1(At22, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(At22, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At22, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - - At22L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J12L*(At12L*PDstandardNth1beta1 + - At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3) + - J22L*(At12L*PDstandardNth2beta1 + At22L*PDstandardNth2beta2 + - At23L*PDstandardNth2beta3) + J32L*(At12L*PDstandardNth3beta1 + - At22L*PDstandardNth3beta2 + At23L*PDstandardNth3beta3)) + - alphaL*(-2*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + At22L*trKL) + - em4phi*(Ats22 - g22*kthird*trAts - - 25.13274122871834590770114706623602307358*alphaL*(eTyyL - - g22*kthird*trS)); - - CCTK_REAL At23rhsL = PDupwindNth1(At23, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(At23, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At23, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) + - (-0.6666666666666666666666666666666666666667*At23L*J11L + At13L*J12L + - At12L*J13L)*PDstandardNth1beta1 + - (0.3333333333333333333333333333333333333333*At23L*J12L + - At22L*J13L)*PDstandardNth1beta2 + (At33L*J12L + - 0.3333333333333333333333333333333333333333*At23L*J13L)*PDstandardNth1beta3 - + (-0.6666666666666666666666666666666666666667*At23L*J21L + At13L*J22L - + At12L*J23L)*PDstandardNth2beta1 + - (0.3333333333333333333333333333333333333333*At23L*J22L + - At22L*J23L)*PDstandardNth2beta2 + (At33L*J22L + - 0.3333333333333333333333333333333333333333*At23L*J23L)*PDstandardNth2beta3 - + (-0.6666666666666666666666666666666666666667*At23L*J31L + At13L*J32L - + At12L*J33L)*PDstandardNth3beta1 + - (0.3333333333333333333333333333333333333333*At23L*J32L + - At22L*J33L)*PDstandardNth3beta2 + (At33L*J32L + - 0.3333333333333333333333333333333333333333*At23L*J33L)*PDstandardNth3beta3 - + alphaL*(-2.*(At12L*Atm13 + At22L*Atm23 + At23L*Atm33) + At23L*trKL) + - em4phi*(Ats23 - 0.3333333333333333333333333333333333333333*g23*trAts + - alphaL*(-25.13274122871834590770114706623602307358*eTyzL + - 8.377580409572781969233715688745341024526*g23*trS)); - - CCTK_REAL At33rhsL = PDupwindNth1(At33, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(At33, i, j, k)*(beta1L*J21L - + beta2L*J22L + beta3L*J23L) + PDupwindNth3(At33, i, j, - k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L) - - At33L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + - J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + - J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + - J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + - J33L*PDstandardNth3beta3) + 2*(J13L*(At13L*PDstandardNth1beta1 + - At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3) + - J23L*(At13L*PDstandardNth2beta1 + At23L*PDstandardNth2beta2 + - At33L*PDstandardNth2beta3) + J33L*(At13L*PDstandardNth3beta1 + - At23L*PDstandardNth3beta2 + At33L*PDstandardNth3beta3)) + - alphaL*(-2*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + At33L*trKL) + - em4phi*(Ats33 - g33*kthird*trAts - - 25.13274122871834590770114706623602307358*alphaL*(eTzzL - - g33*kthird*trS)); - - - /* Copy local copies back to grid functions */ - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - } - LC_ENDLOOP3 (ML_BSSN_MP_RHS2); -} - -void ML_BSSN_MP_RHS2(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_RHS2_Body); -} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.cc b/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.cc new file mode 100644 index 0000000..4769a32 --- /dev/null +++ b/ML_BSSN_MP/src/ML_BSSN_MP_RHS2.cc @@ -0,0 +1,1610 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_MP_RHS2_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_RHS2_Body"); + } + + if (cctk_iteration % ML_BSSN_MP_RHS2_calc_every != ML_BSSN_MP_RHS2_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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; + 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_MP_RHS2, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDstandardNth1alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC dJ111L = vec_load(dJ111[index]); + CCTK_REAL_VEC dJ112L = vec_load(dJ112[index]); + CCTK_REAL_VEC dJ113L = vec_load(dJ113[index]); + CCTK_REAL_VEC dJ122L = vec_load(dJ122[index]); + CCTK_REAL_VEC dJ123L = vec_load(dJ123[index]); + CCTK_REAL_VEC dJ133L = vec_load(dJ133[index]); + CCTK_REAL_VEC dJ211L = vec_load(dJ211[index]); + CCTK_REAL_VEC dJ212L = vec_load(dJ212[index]); + CCTK_REAL_VEC dJ213L = vec_load(dJ213[index]); + CCTK_REAL_VEC dJ222L = vec_load(dJ222[index]); + CCTK_REAL_VEC dJ223L = vec_load(dJ223[index]); + CCTK_REAL_VEC dJ233L = vec_load(dJ233[index]); + CCTK_REAL_VEC dJ311L = vec_load(dJ311[index]); + CCTK_REAL_VEC dJ312L = vec_load(dJ312[index]); + CCTK_REAL_VEC dJ313L = vec_load(dJ313[index]); + CCTK_REAL_VEC dJ322L = vec_load(dJ322[index]); + CCTK_REAL_VEC dJ323L = vec_load(dJ323[index]); + CCTK_REAL_VEC dJ333L = vec_load(dJ333[index]); + CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; + CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; + CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; + CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; + CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; + CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC J11L = vec_load(J11[index]); + CCTK_REAL_VEC J12L = vec_load(J12[index]); + CCTK_REAL_VEC J13L = vec_load(J13[index]); + CCTK_REAL_VEC J21L = vec_load(J21[index]); + CCTK_REAL_VEC J22L = vec_load(J22[index]); + CCTK_REAL_VEC J23L = vec_load(J23[index]); + CCTK_REAL_VEC J31L = vec_load(J31[index]); + CCTK_REAL_VEC J32L = vec_load(J32[index]); + CCTK_REAL_VEC J33L = vec_load(J33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At11 = PDdissipationNth1(At11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At11 = PDdissipationNth2(At11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At11 = PDdissipationNth3(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At11 = PDupwindNthAnti1(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At11 = PDupwindNthSymm1(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At11 = PDupwindNthAnti2(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At11 = PDupwindNthSymm2(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At11 = PDupwindNthAnti3(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At11 = PDupwindNthSymm3(At11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At12 = PDdissipationNth1(At12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At12 = PDdissipationNth2(At12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At12 = PDdissipationNth3(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At12 = PDupwindNthAnti1(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At12 = PDupwindNthSymm1(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At12 = PDupwindNthAnti2(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At12 = PDupwindNthSymm2(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At12 = PDupwindNthAnti3(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At12 = PDupwindNthSymm3(At12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At13 = PDdissipationNth1(At13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At13 = PDdissipationNth2(At13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At13 = PDdissipationNth3(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At13 = PDupwindNthAnti1(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At13 = PDupwindNthSymm1(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At13 = PDupwindNthAnti2(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At13 = PDupwindNthSymm2(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At13 = PDupwindNthAnti3(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At13 = PDupwindNthSymm3(At13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At22 = PDdissipationNth1(At22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At22 = PDdissipationNth2(At22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At22 = PDdissipationNth3(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At22 = PDupwindNthAnti1(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At22 = PDupwindNthSymm1(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At22 = PDupwindNthAnti2(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At22 = PDupwindNthSymm2(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At22 = PDupwindNthAnti3(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At22 = PDupwindNthSymm3(At22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At23 = PDdissipationNth1(At23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At23 = PDdissipationNth2(At23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At23 = PDdissipationNth3(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At23 = PDupwindNthAnti1(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At23 = PDupwindNthSymm1(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At23 = PDupwindNthAnti2(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At23 = PDupwindNthSymm2(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At23 = PDupwindNthAnti3(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At23 = PDupwindNthSymm3(At23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At33 = PDdissipationNth1(At33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At33 = PDdissipationNth2(At33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At33 = PDdissipationNth3(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At33 = PDupwindNthAnti1(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At33 = PDupwindNthSymm1(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At33 = PDupwindNthAnti2(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At33 = PDupwindNthSymm2(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At33 = PDupwindNthAnti3(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At33 = PDupwindNthSymm3(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC epsdiss1 = EpsDiss; + + CCTK_REAL_VEC epsdiss2 = EpsDiss; + + CCTK_REAL_VEC epsdiss3 = EpsDiss; + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC Gt111 = khalf*((gtu11*J11L - gtu21*J12L - + gtu31*J13L)*PDstandardNth1gt11 + (gtu11*J21L - gtu21*J22L - + gtu31*J23L)*PDstandardNth2gt11 + (gtu11*J31L - gtu21*J32L - + gtu31*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu21*PDstandardNth1gt12 + + gtu31*PDstandardNth1gt13) + J21L*(gtu21*PDstandardNth2gt12 + + gtu31*PDstandardNth2gt13) + J31L*(gtu21*PDstandardNth3gt12 + + gtu31*PDstandardNth3gt13))); + + CCTK_REAL_VEC Gt211 = khalf*((gtu21*J11L - gtu22*J12L - + gtu32*J13L)*PDstandardNth1gt11 + (gtu21*J21L - gtu22*J22L - + gtu32*J23L)*PDstandardNth2gt11 + (gtu21*J31L - gtu22*J32L - + gtu32*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu22*PDstandardNth1gt12 + + gtu32*PDstandardNth1gt13) + J21L*(gtu22*PDstandardNth2gt12 + + gtu32*PDstandardNth2gt13) + J31L*(gtu22*PDstandardNth3gt12 + + gtu32*PDstandardNth3gt13))); + + CCTK_REAL_VEC Gt311 = khalf*((gtu31*J11L - gtu32*J12L - + gtu33*J13L)*PDstandardNth1gt11 + (gtu31*J21L - gtu32*J22L - + gtu33*J23L)*PDstandardNth2gt11 + (gtu31*J31L - gtu32*J32L - + gtu33*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu32*PDstandardNth1gt12 + + gtu33*PDstandardNth1gt13) + J21L*(gtu32*PDstandardNth2gt12 + + gtu33*PDstandardNth2gt13) + J31L*(gtu32*PDstandardNth3gt12 + + gtu33*PDstandardNth3gt13))); + + CCTK_REAL_VEC Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + gtu21*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + + J31L*PDstandardNth3gt22) + gtu31*(-(J13L*PDstandardNth1gt12) + + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); + + CCTK_REAL_VEC Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + gtu22*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + + J31L*PDstandardNth3gt22) + gtu32*(-(J13L*PDstandardNth1gt12) + + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); + + CCTK_REAL_VEC Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + gtu32*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + + J31L*PDstandardNth3gt22) + gtu33*(-(J13L*PDstandardNth1gt12) + + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); + + CCTK_REAL_VEC Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + gtu21*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23) + gtu31*(J11L*PDstandardNth1gt33 + + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + gtu22*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23) + gtu32*(J11L*PDstandardNth1gt33 + + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + gtu32*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23) + gtu33*(J11L*PDstandardNth1gt33 + + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - + J31L*PDstandardNth3gt22) + gtu21*(J12L*PDstandardNth1gt22 + + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - + gtu31*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - + J31L*PDstandardNth3gt22) + gtu22*(J12L*PDstandardNth1gt22 + + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - + gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - + J31L*PDstandardNth3gt22) + gtu32*(J12L*PDstandardNth1gt22 + + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - + gtu33*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); + + CCTK_REAL_VEC Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + gtu11*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt23) + gtu31*(J12L*PDstandardNth1gt33 + + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + gtu21*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt23) + gtu32*(J12L*PDstandardNth1gt33 + + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + gtu31*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt23) + gtu33*(J12L*PDstandardNth1gt33 + + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt33) + gtu21*(-(J12L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - + J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - + J32L*PDstandardNth3gt33) + gtu31*(J13L*PDstandardNth1gt33 + + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt33) + gtu22*(-(J12L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - + J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - + J32L*PDstandardNth3gt33) + gtu32*(J13L*PDstandardNth1gt33 + + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt33) + gtu32*(-(J12L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - + J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - + J32L*PDstandardNth3gt33) + gtu33*(J13L*PDstandardNth1gt33 + + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL_VEC Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL_VEC Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL_VEC Rt11 = (Gt113*(gt13L*Gt312 + 3*(gt12L*Gt212 + + gt13L*Gt312)) + gt12L*(Gt213*(4*Gt112 + 2*Gt222) + Gt212*(Gt113 + + 2*Gt223) + 2*(Gt233*Gt312 + Gt223*Gt313)) + gt11L*(6*Gt112*Gt113 + + 2*(Gt122*Gt213 + Gt133*Gt312 + Gt123*(Gt212 + Gt313))) + + gt13L*(2*Gt213*Gt322 + Gt313*(4*Gt112 + 2*Gt323)) + + 2*(Gt213*(Gt212*gt22L + gt23L*Gt312) + Gt212*(gt23L*Gt313 + + gt13L*Gt323) + Gt312*(gt13L*Gt333 + Gt313*gt33L)))*gtu32 + + J11L*(gt11L*PDstandardNth1Xt1 + gt12L*PDstandardNth1Xt2 + + gt13L*PDstandardNth1Xt3) + J21L*(gt11L*PDstandardNth2Xt1 + + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3) + + J31L*(gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + + gt13L*PDstandardNth3Xt3) + (Gt111*gt11L + gt12L*Gt211 + + gt13L*Gt311)*Xtn1 + (Gt112*gt11L + gt12L*Gt212 + gt13L*Gt312)*Xtn2 + + (Gt113*gt11L + gt12L*Gt213 + gt13L*Gt313)*Xtn3 + + gtu21*(Gt112*(gt13L*Gt311 + 3*(gt12L*Gt211 + gt13L*Gt311)) + + gt11L*(Gt112*(6*Gt111 + 2*Gt212) + 2*(Gt122*Gt211 + Gt123*Gt311 + + Gt113*Gt312)) + 2*(Gt212*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + + gt13L*(Gt211*Gt322 + Gt311*Gt323)) + Gt312*(gt13L*(4*Gt111 + 2*Gt313) + + 2*(Gt211*gt23L + Gt311*gt33L)) + gt12L*(4*Gt111*Gt212 + Gt211*(Gt112 + + 2*Gt222) + 2*(Gt223*Gt311 + Gt213*Gt312 + SQR(Gt212)))) + + gtu11*(4*Gt111*(gt12L*Gt211 + gt13L*Gt311) + 2*(gt12L*(Gt211*Gt212 + + Gt213*Gt311) + Gt211*(gt23L*Gt311 + gt13L*Gt312) + gt13L*Gt311*Gt313) + + gt11L*(2*(Gt112*Gt211 + Gt113*Gt311) + 3*SQR(Gt111)) + gt22L*SQR(Gt211) + + gt33L*SQR(Gt311)) + gtu22*(4*Gt112*(gt12L*Gt212 + gt13L*Gt312) + + 2*(gt12L*(Gt212*Gt222 + Gt223*Gt312) + Gt212*(gt23L*Gt312 + + gt13L*Gt322) + gt13L*Gt312*Gt323) + gt11L*(2*(Gt122*Gt212 + + Gt123*Gt312) + 3*SQR(Gt112)) + gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) + + gtu33*(4*Gt113*(gt12L*Gt213 + gt13L*Gt313) + 2*(gt12L*(Gt213*Gt223 + + Gt233*Gt313) + Gt213*(gt23L*Gt313 + gt13L*Gt323) + gt13L*Gt313*Gt333) + + gt11L*(2*(Gt123*Gt213 + Gt133*Gt313) + 3*SQR(Gt113)) + gt22L*SQR(Gt213) + + gt33L*SQR(Gt313)) + gtu31*(Gt113*(gt13L*Gt311 + 3*(gt12L*Gt211 + + gt13L*Gt311)) + gt11L*(2*(Gt123*Gt211 + Gt112*Gt213 + Gt133*Gt311) + + Gt113*(6*Gt111 + 2*Gt313)) + gt12L*(Gt211*(Gt113 + 2*Gt223) + + 2*Gt233*Gt311 + Gt213*(4*Gt111 + 2*(Gt212 + Gt313))) + + 2*(Gt213*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + gt13L*Gt311*Gt333 + + Gt313*(Gt211*gt23L + Gt311*gt33L)) + gt13L*(4*Gt111*Gt313 + + 2*(Gt211*Gt323 + SQR(Gt313)))) + + khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt11 + + J12L*J21L*PDstandardNth12gt11 + J11L*J22L*PDstandardNth12gt11 + + J12L*J31L*PDstandardNth13gt11 + J11L*J32L*PDstandardNth13gt11 + + dJ112L*PDstandardNth1gt11 + J21L*J22L*PDstandardNth22gt11 + + J22L*J31L*PDstandardNth23gt11 + J21L*J32L*PDstandardNth23gt11 + + dJ212L*PDstandardNth2gt11 + J31L*J32L*PDstandardNth33gt11 + + dJ312L*PDstandardNth3gt11) + gtu31*(J11L*J13L*PDstandardNth11gt11 + + J13L*J21L*PDstandardNth12gt11 + J11L*J23L*PDstandardNth12gt11 + + J13L*J31L*PDstandardNth13gt11 + J11L*J33L*PDstandardNth13gt11 + + dJ113L*PDstandardNth1gt11 + J21L*J23L*PDstandardNth22gt11 + + J23L*J31L*PDstandardNth23gt11 + J21L*J33L*PDstandardNth23gt11 + + dJ213L*PDstandardNth2gt11 + J31L*J33L*PDstandardNth33gt11 + + dJ313L*PDstandardNth3gt11) + gtu32*(J12L*J13L*PDstandardNth11gt11 + + J13L*J22L*PDstandardNth12gt11 + J12L*J23L*PDstandardNth12gt11 + + J13L*J32L*PDstandardNth13gt11 + J12L*J33L*PDstandardNth13gt11 + + dJ123L*PDstandardNth1gt11 + J22L*J23L*PDstandardNth22gt11 + + J23L*J32L*PDstandardNth23gt11 + J22L*J33L*PDstandardNth23gt11 + + dJ223L*PDstandardNth2gt11 + J32L*J33L*PDstandardNth33gt11 + + dJ323L*PDstandardNth3gt11)) - gtu11*(2*J11L*J21L*PDstandardNth12gt11 + + 2*J11L*J31L*PDstandardNth13gt11 + dJ111L*PDstandardNth1gt11 + + 2*J21L*J31L*PDstandardNth23gt11 + dJ211L*PDstandardNth2gt11 + + dJ311L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J11L) + + PDstandardNth22gt11*SQR(J21L) + PDstandardNth33gt11*SQR(J31L)) - + gtu22*(2*J12L*J22L*PDstandardNth12gt11 + + 2*J12L*J32L*PDstandardNth13gt11 + dJ122L*PDstandardNth1gt11 + + 2*J22L*J32L*PDstandardNth23gt11 + dJ222L*PDstandardNth2gt11 + + dJ322L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J12L) + + PDstandardNth22gt11*SQR(J22L) + PDstandardNth33gt11*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt11 + + 2*J13L*J33L*PDstandardNth13gt11 + dJ133L*PDstandardNth1gt11 + + 2*J23L*J33L*PDstandardNth23gt11 + dJ233L*PDstandardNth2gt11 + + dJ333L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J13L) + + PDstandardNth22gt11*SQR(J23L) + PDstandardNth33gt11*SQR(J33L))); + + CCTK_REAL_VEC Rt12 = khalf*((gt12L*J11L + + gt11L*J12L)*PDstandardNth1Xt1 + (gt22L*J11L + + gt12L*J12L)*PDstandardNth1Xt2 + (gt23L*J11L + + gt13L*J12L)*PDstandardNth1Xt3 + (gt12L*J21L + + gt11L*J22L)*PDstandardNth2Xt1 + (gt22L*J21L + + gt12L*J22L)*PDstandardNth2Xt2 + (gt23L*J21L + + gt13L*J22L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt12 + + J12L*J21L*PDstandardNth12gt12 + J11L*J22L*PDstandardNth12gt12 + + J12L*J31L*PDstandardNth13gt12 + J11L*J32L*PDstandardNth13gt12 + + dJ112L*PDstandardNth1gt12 + J21L*J22L*PDstandardNth22gt12 + + J22L*J31L*PDstandardNth23gt12 + J21L*J32L*PDstandardNth23gt12 + + dJ212L*PDstandardNth2gt12 + J31L*J32L*PDstandardNth33gt12 + + dJ312L*PDstandardNth3gt12) + gtu31*(J11L*J13L*PDstandardNth11gt12 + + J13L*J21L*PDstandardNth12gt12 + J11L*J23L*PDstandardNth12gt12 + + J13L*J31L*PDstandardNth13gt12 + J11L*J33L*PDstandardNth13gt12 + + dJ113L*PDstandardNth1gt12 + J21L*J23L*PDstandardNth22gt12 + + J23L*J31L*PDstandardNth23gt12 + J21L*J33L*PDstandardNth23gt12 + + dJ213L*PDstandardNth2gt12 + J31L*J33L*PDstandardNth33gt12 + + dJ313L*PDstandardNth3gt12) + gtu32*(J12L*J13L*PDstandardNth11gt12 + + J13L*J22L*PDstandardNth12gt12 + J12L*J23L*PDstandardNth12gt12 + + J13L*J32L*PDstandardNth13gt12 + J12L*J33L*PDstandardNth13gt12 + + dJ123L*PDstandardNth1gt12 + J22L*J23L*PDstandardNth22gt12 + + J23L*J32L*PDstandardNth23gt12 + J22L*J33L*PDstandardNth23gt12 + + dJ223L*PDstandardNth2gt12 + J32L*J33L*PDstandardNth33gt12 + + dJ323L*PDstandardNth3gt12)) + (gt12L*J31L + + gt11L*J32L)*PDstandardNth3Xt1 + (gt22L*J31L + + gt12L*J32L)*PDstandardNth3Xt2 + (gt23L*J31L + + gt13L*J32L)*PDstandardNth3Xt3 + (Gt112*gt11L + Gt111*gt12L + + gt12L*Gt212 + Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312)*Xtn1 + + (gt11L*Gt122 + Gt112*gt12L + gt12L*Gt222 + Gt212*gt22L + gt23L*Gt312 + + gt13L*Gt322)*Xtn2 + (gt11L*Gt123 + Gt113*gt12L + gt12L*Gt223 + + Gt213*gt22L + gt23L*Gt313 + gt13L*Gt323)*Xtn3 + 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)) + + 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)) + + 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))) + 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))) + 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)) + + 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)) + + 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))) - + gtu11*(2*J11L*J21L*PDstandardNth12gt12 + + 2*J11L*J31L*PDstandardNth13gt12 + dJ111L*PDstandardNth1gt12 + + 2*J21L*J31L*PDstandardNth23gt12 + dJ211L*PDstandardNth2gt12 + + dJ311L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J11L) + + PDstandardNth22gt12*SQR(J21L) + PDstandardNth33gt12*SQR(J31L)) - + gtu22*(2*J12L*J22L*PDstandardNth12gt12 + + 2*J12L*J32L*PDstandardNth13gt12 + dJ122L*PDstandardNth1gt12 + + 2*J22L*J32L*PDstandardNth23gt12 + dJ222L*PDstandardNth2gt12 + + dJ322L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J12L) + + PDstandardNth22gt12*SQR(J22L) + PDstandardNth33gt12*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt12 + + 2*J13L*J33L*PDstandardNth13gt12 + dJ133L*PDstandardNth1gt12 + + 2*J23L*J33L*PDstandardNth23gt12 + dJ233L*PDstandardNth2gt12 + + dJ333L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J13L) + + PDstandardNth22gt12*SQR(J23L) + PDstandardNth33gt12*SQR(J33L))); + + CCTK_REAL_VEC Rt13 = khalf*((gt13L*J11L + + gt11L*J13L)*PDstandardNth1Xt1 + (gt23L*J11L + + gt12L*J13L)*PDstandardNth1Xt2 + (gt33L*J11L + + gt13L*J13L)*PDstandardNth1Xt3 + (gt13L*J21L + + gt11L*J23L)*PDstandardNth2Xt1 + (gt23L*J21L + + gt12L*J23L)*PDstandardNth2Xt2 + (gt33L*J21L + + gt13L*J23L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt13 + + J12L*J21L*PDstandardNth12gt13 + J11L*J22L*PDstandardNth12gt13 + + J12L*J31L*PDstandardNth13gt13 + J11L*J32L*PDstandardNth13gt13 + + dJ112L*PDstandardNth1gt13 + J21L*J22L*PDstandardNth22gt13 + + J22L*J31L*PDstandardNth23gt13 + J21L*J32L*PDstandardNth23gt13 + + dJ212L*PDstandardNth2gt13 + J31L*J32L*PDstandardNth33gt13 + + dJ312L*PDstandardNth3gt13) + gtu31*(J11L*J13L*PDstandardNth11gt13 + + J13L*J21L*PDstandardNth12gt13 + J11L*J23L*PDstandardNth12gt13 + + J13L*J31L*PDstandardNth13gt13 + J11L*J33L*PDstandardNth13gt13 + + dJ113L*PDstandardNth1gt13 + J21L*J23L*PDstandardNth22gt13 + + J23L*J31L*PDstandardNth23gt13 + J21L*J33L*PDstandardNth23gt13 + + dJ213L*PDstandardNth2gt13 + J31L*J33L*PDstandardNth33gt13 + + dJ313L*PDstandardNth3gt13) + gtu32*(J12L*J13L*PDstandardNth11gt13 + + J13L*J22L*PDstandardNth12gt13 + J12L*J23L*PDstandardNth12gt13 + + J13L*J32L*PDstandardNth13gt13 + J12L*J33L*PDstandardNth13gt13 + + dJ123L*PDstandardNth1gt13 + J22L*J23L*PDstandardNth22gt13 + + J23L*J32L*PDstandardNth23gt13 + J22L*J33L*PDstandardNth23gt13 + + dJ223L*PDstandardNth2gt13 + J32L*J33L*PDstandardNth33gt13 + + dJ323L*PDstandardNth3gt13)) + (gt13L*J31L + + gt11L*J33L)*PDstandardNth3Xt1 + (gt23L*J31L + + gt12L*J33L)*PDstandardNth3Xt2 + (gt33L*J31L + + gt13L*J33L)*PDstandardNth3Xt3 + (Gt113*gt11L + Gt111*gt13L + + gt12L*Gt213 + Gt211*gt23L + gt13L*Gt313 + Gt311*gt33L)*Xtn1 + + (gt11L*Gt123 + Gt112*gt13L + gt12L*Gt223 + Gt212*gt23L + gt13L*Gt323 + + Gt312*gt33L)*Xtn2 + (gt11L*Gt133 + Gt113*gt13L + gt12L*Gt233 + + Gt213*gt23L + gt13L*Gt333 + 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)) + 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)) + + 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)) + 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)) + 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)) + + 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)) + 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))) - + gtu11*(2*J11L*J21L*PDstandardNth12gt13 + + 2*J11L*J31L*PDstandardNth13gt13 + dJ111L*PDstandardNth1gt13 + + 2*J21L*J31L*PDstandardNth23gt13 + dJ211L*PDstandardNth2gt13 + + dJ311L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J11L) + + PDstandardNth22gt13*SQR(J21L) + PDstandardNth33gt13*SQR(J31L)) - + gtu22*(2*J12L*J22L*PDstandardNth12gt13 + + 2*J12L*J32L*PDstandardNth13gt13 + dJ122L*PDstandardNth1gt13 + + 2*J22L*J32L*PDstandardNth23gt13 + dJ222L*PDstandardNth2gt13 + + dJ322L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J12L) + + PDstandardNth22gt13*SQR(J22L) + PDstandardNth33gt13*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt13 + + 2*J13L*J33L*PDstandardNth13gt13 + dJ133L*PDstandardNth1gt13 + + 2*J23L*J33L*PDstandardNth23gt13 + dJ233L*PDstandardNth2gt13 + + dJ333L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J13L) + + PDstandardNth22gt13*SQR(J23L) + PDstandardNth33gt13*SQR(J33L))); + + CCTK_REAL_VEC Rt22 = (Gt223*(3*Gt112*gt12L + 6*Gt212*gt22L + + 4*gt23L*Gt312) + Gt123*(Gt112*gt11L + gt12L*(2*Gt111 + 4*Gt212) + + 2*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312)) + Gt112*(gt11L*Gt123 + + gt12L*(2*Gt113 + Gt223) + 2*(Gt213*gt22L + gt23L*Gt313) + gt13L*Gt323) + + 2*(Gt113*gt12L*Gt323 + Gt312*(gt12L*Gt133 + gt22L*Gt233 + + gt23L*Gt333)) + Gt323*(Gt112*gt13L + 4*Gt212*gt23L + 2*(Gt213*gt22L + + gt23L*Gt313 + Gt312*gt33L)))*gtu31 + J12L*(gt12L*PDstandardNth1Xt1 + + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3) + + J22L*(gt12L*PDstandardNth2Xt1 + gt22L*PDstandardNth2Xt2 + + gt23L*PDstandardNth2Xt3) + J32L*(gt12L*PDstandardNth3Xt1 + + gt22L*PDstandardNth3Xt2 + gt23L*PDstandardNth3Xt3) + (Gt112*gt12L + + Gt212*gt22L + gt23L*Gt312)*Xtn1 + (Gt122*gt12L + Gt222*gt22L + + gt23L*Gt322)*Xtn2 + (Gt123*gt12L + Gt223*gt22L + gt23L*Gt323)*Xtn3 + + gtu21*(Gt222*(3*Gt112*gt12L + 6*Gt212*gt22L + 4*gt23L*Gt312) + + Gt122*(Gt112*gt11L + gt12L*(2*Gt111 + 4*Gt212) + 2*(Gt211*gt22L + + gt23L*Gt311 + gt13L*Gt312)) + Gt112*(gt11L*Gt122 + gt12L*Gt222 + + 2*(Gt212*gt22L + gt23L*Gt312) + gt13L*Gt322) + Gt322*(Gt112*gt13L + + 4*Gt212*gt23L + 2*(Gt213*gt22L + gt23L*Gt313 + Gt312*gt33L)) + + 2*(Gt312*(Gt123*gt12L + Gt223*gt22L + gt23L*Gt323) + gt12L*(Gt113*Gt322 + + SQR(Gt112)))) + gtu11*(Gt112*(gt12L*(2*Gt111 + 4*Gt212) + + 2*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312)) + Gt312*(2*(Gt113*gt12L + + Gt213*gt22L) + gt23L*(4*Gt212 + 2*Gt313)) + gt11L*SQR(Gt112) + + 3*gt22L*SQR(Gt212) + gt33L*SQR(Gt312)) + gtu22*(Gt122*(gt12L*(2*Gt112 + + 4*Gt222) + 2*(Gt212*gt22L + gt23L*Gt312 + gt13L*Gt322)) + + Gt322*(2*(Gt123*gt12L + Gt223*gt22L) + gt23L*(4*Gt222 + 2*Gt323)) + + gt11L*SQR(Gt122) + 3*gt22L*SQR(Gt222) + gt33L*SQR(Gt322)) + + gtu33*(Gt123*(gt12L*(2*Gt113 + 4*Gt223) + 2*(Gt213*gt22L + gt23L*Gt313 + + gt13L*Gt323)) + Gt323*(2*(gt12L*Gt133 + gt22L*Gt233) + gt23L*(4*Gt223 + + 2*Gt333)) + gt11L*SQR(Gt123) + 3*gt22L*SQR(Gt223) + gt33L*SQR(Gt323)) + + gtu32*(gt22L*(2*(Gt122*Gt213 + Gt233*Gt322) + Gt223*(6*Gt222 + + 2*Gt323)) + 4*(gt12L*(Gt123*Gt222 + Gt122*Gt223) + gt23L*(Gt223*Gt322 + + Gt222*Gt323)) + 2*(Gt123*(Gt112*gt12L + Gt212*gt22L + gt23L*Gt312 + + gt13L*Gt322) + gt12L*(Gt133*Gt322 + Gt123*Gt323) + Gt122*(gt11L*Gt123 + + Gt113*gt12L + gt23L*Gt313 + gt13L*Gt323) + Gt322*(gt23L*Gt333 + + Gt323*gt33L) + gt23L*SQR(Gt323))) + + khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt22 + + J12L*J21L*PDstandardNth12gt22 + J11L*J22L*PDstandardNth12gt22 + + J12L*J31L*PDstandardNth13gt22 + J11L*J32L*PDstandardNth13gt22 + + dJ112L*PDstandardNth1gt22 + J21L*J22L*PDstandardNth22gt22 + + J22L*J31L*PDstandardNth23gt22 + J21L*J32L*PDstandardNth23gt22 + + dJ212L*PDstandardNth2gt22 + J31L*J32L*PDstandardNth33gt22 + + dJ312L*PDstandardNth3gt22) + gtu31*(J11L*J13L*PDstandardNth11gt22 + + J13L*J21L*PDstandardNth12gt22 + J11L*J23L*PDstandardNth12gt22 + + J13L*J31L*PDstandardNth13gt22 + J11L*J33L*PDstandardNth13gt22 + + dJ113L*PDstandardNth1gt22 + J21L*J23L*PDstandardNth22gt22 + + J23L*J31L*PDstandardNth23gt22 + J21L*J33L*PDstandardNth23gt22 + + dJ213L*PDstandardNth2gt22 + J31L*J33L*PDstandardNth33gt22 + + dJ313L*PDstandardNth3gt22) + gtu32*(J12L*J13L*PDstandardNth11gt22 + + J13L*J22L*PDstandardNth12gt22 + J12L*J23L*PDstandardNth12gt22 + + J13L*J32L*PDstandardNth13gt22 + J12L*J33L*PDstandardNth13gt22 + + dJ123L*PDstandardNth1gt22 + J22L*J23L*PDstandardNth22gt22 + + J23L*J32L*PDstandardNth23gt22 + J22L*J33L*PDstandardNth23gt22 + + dJ223L*PDstandardNth2gt22 + J32L*J33L*PDstandardNth33gt22 + + dJ323L*PDstandardNth3gt22)) - gtu11*(2*J11L*J21L*PDstandardNth12gt22 + + 2*J11L*J31L*PDstandardNth13gt22 + dJ111L*PDstandardNth1gt22 + + 2*J21L*J31L*PDstandardNth23gt22 + dJ211L*PDstandardNth2gt22 + + dJ311L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J11L) + + PDstandardNth22gt22*SQR(J21L) + PDstandardNth33gt22*SQR(J31L)) - + gtu22*(2*J12L*J22L*PDstandardNth12gt22 + + 2*J12L*J32L*PDstandardNth13gt22 + dJ122L*PDstandardNth1gt22 + + 2*J22L*J32L*PDstandardNth23gt22 + dJ222L*PDstandardNth2gt22 + + dJ322L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J12L) + + PDstandardNth22gt22*SQR(J22L) + PDstandardNth33gt22*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt22 + + 2*J13L*J33L*PDstandardNth13gt22 + dJ133L*PDstandardNth1gt22 + + 2*J23L*J33L*PDstandardNth23gt22 + dJ233L*PDstandardNth2gt22 + + dJ333L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J13L) + + PDstandardNth22gt22*SQR(J23L) + PDstandardNth33gt22*SQR(J33L))); + + CCTK_REAL_VEC Rt23 = khalf*((gt13L*J12L + + gt12L*J13L)*PDstandardNth1Xt1 + (gt23L*J12L + + gt22L*J13L)*PDstandardNth1Xt2 + (gt33L*J12L + + gt23L*J13L)*PDstandardNth1Xt3 + (gt13L*J22L + + gt12L*J23L)*PDstandardNth2Xt1 + (gt23L*J22L + + gt22L*J23L)*PDstandardNth2Xt2 + (gt33L*J22L + + gt23L*J23L)*PDstandardNth2Xt3 - 2*(gtu21*(J11L*J12L*PDstandardNth11gt23 + + J12L*J21L*PDstandardNth12gt23 + J11L*J22L*PDstandardNth12gt23 + + J12L*J31L*PDstandardNth13gt23 + J11L*J32L*PDstandardNth13gt23 + + dJ112L*PDstandardNth1gt23 + J21L*J22L*PDstandardNth22gt23 + + J22L*J31L*PDstandardNth23gt23 + J21L*J32L*PDstandardNth23gt23 + + dJ212L*PDstandardNth2gt23 + J31L*J32L*PDstandardNth33gt23 + + dJ312L*PDstandardNth3gt23) + gtu31*(J11L*J13L*PDstandardNth11gt23 + + J13L*J21L*PDstandardNth12gt23 + J11L*J23L*PDstandardNth12gt23 + + J13L*J31L*PDstandardNth13gt23 + J11L*J33L*PDstandardNth13gt23 + + dJ113L*PDstandardNth1gt23 + J21L*J23L*PDstandardNth22gt23 + + J23L*J31L*PDstandardNth23gt23 + J21L*J33L*PDstandardNth23gt23 + + dJ213L*PDstandardNth2gt23 + J31L*J33L*PDstandardNth33gt23 + + dJ313L*PDstandardNth3gt23) + gtu32*(J12L*J13L*PDstandardNth11gt23 + + J13L*J22L*PDstandardNth12gt23 + J12L*J23L*PDstandardNth12gt23 + + J13L*J32L*PDstandardNth13gt23 + J12L*J33L*PDstandardNth13gt23 + + dJ123L*PDstandardNth1gt23 + J22L*J23L*PDstandardNth22gt23 + + J23L*J32L*PDstandardNth23gt23 + J22L*J33L*PDstandardNth23gt23 + + dJ223L*PDstandardNth2gt23 + J32L*J33L*PDstandardNth33gt23 + + dJ323L*PDstandardNth3gt23)) + (gt13L*J32L + + gt12L*J33L)*PDstandardNth3Xt1 + (gt23L*J32L + + gt22L*J33L)*PDstandardNth3Xt2 + (gt33L*J32L + + gt23L*J33L)*PDstandardNth3Xt3 + (Gt113*gt12L + Gt112*gt13L + + Gt213*gt22L + Gt212*gt23L + gt23L*Gt313 + Gt312*gt33L)*Xtn1 + + (Gt123*gt12L + Gt122*gt13L + Gt223*gt22L + Gt222*gt23L + gt23L*Gt323 + + Gt322*gt33L)*Xtn2 + (gt12L*Gt133 + Gt123*gt13L + gt22L*Gt233 + + Gt223*gt23L + gt23L*Gt333 + 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)) + 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)) + 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)) + 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)) + 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)) + 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)) + 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))) - gtu11*(2*J11L*J21L*PDstandardNth12gt23 + + 2*J11L*J31L*PDstandardNth13gt23 + dJ111L*PDstandardNth1gt23 + + 2*J21L*J31L*PDstandardNth23gt23 + dJ211L*PDstandardNth2gt23 + + dJ311L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J11L) + + PDstandardNth22gt23*SQR(J21L) + PDstandardNth33gt23*SQR(J31L)) - + gtu22*(2*J12L*J22L*PDstandardNth12gt23 + + 2*J12L*J32L*PDstandardNth13gt23 + dJ122L*PDstandardNth1gt23 + + 2*J22L*J32L*PDstandardNth23gt23 + dJ222L*PDstandardNth2gt23 + + dJ322L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J12L) + + PDstandardNth22gt23*SQR(J22L) + PDstandardNth33gt23*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt23 + + 2*J13L*J33L*PDstandardNth13gt23 + dJ133L*PDstandardNth1gt23 + + 2*J23L*J33L*PDstandardNth23gt23 + dJ233L*PDstandardNth2gt23 + + dJ333L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J13L) + + PDstandardNth22gt23*SQR(J23L) + PDstandardNth33gt23*SQR(J33L))); + + CCTK_REAL_VEC Rt33 = (4*((Gt123*gt13L + Gt223*gt23L)*Gt313 + + (Gt113*gt13L + Gt213*gt23L)*Gt323) + (2*Gt213*Gt322 + + 6*Gt313*Gt323)*gt33L + 2*(gt13L*(Gt122*Gt213 + Gt112*Gt223) + + Gt213*(Gt223*gt22L + Gt222*gt23L) + Gt123*(Gt111*gt13L + gt12L*Gt213 + + Gt211*gt23L + Gt311*gt33L) + Gt223*(Gt212*gt23L + Gt312*gt33L) + + Gt113*(gt11L*Gt123 + Gt112*gt13L + gt12L*Gt223 + Gt212*gt23L + + Gt312*gt33L)))*gtu21 + J13L*(gt13L*PDstandardNth1Xt1 + + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3) + + J23L*(gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + + gt33L*PDstandardNth2Xt3) + J33L*(gt13L*PDstandardNth3Xt1 + + gt23L*PDstandardNth3Xt2 + gt33L*PDstandardNth3Xt3) + (Gt113*gt13L + + Gt213*gt23L + Gt313*gt33L)*Xtn1 + (Gt123*gt13L + Gt223*gt23L + + Gt323*gt33L)*Xtn2 + (Gt133*gt13L + Gt233*gt23L + Gt333*gt33L)*Xtn3 + + gtu31*(Gt133*(Gt113*gt11L + 2*(Gt111*gt13L + gt12L*Gt213 + Gt211*gt23L) + + 4*gt13L*Gt313) + Gt333*(3*Gt113*gt13L + 4*Gt213*gt23L + + 6*Gt313*gt33L) + Gt233*(Gt113*gt12L + 4*gt23L*Gt313 + 2*(Gt213*gt22L + + Gt212*gt23L + Gt312*gt33L)) + Gt113*(gt11L*Gt133 + gt12L*Gt233 + + gt13L*Gt333 + 2*(Gt213*gt23L + Gt313*gt33L)) + 2*(Gt133*Gt311*gt33L + + Gt213*(Gt223*gt23L + Gt323*gt33L) + gt13L*(Gt123*Gt213 + Gt112*Gt233 + + SQR(Gt113)))) + gtu32*(4*((Gt133*gt13L + Gt233*gt23L)*Gt323 + + (Gt123*gt13L + Gt223*gt23L)*Gt333) + Gt323*(2*Gt223 + 6*Gt333)*gt33L + + 2*(Gt133*(Gt112*gt13L + gt12L*Gt223 + Gt212*gt23L + Gt312*gt33L) + + Gt123*(gt11L*Gt133 + gt13L*(Gt113 + Gt223) + gt12L*Gt233 + Gt213*gt23L + + Gt313*gt33L) + Gt233*(Gt122*gt13L + Gt223*gt22L + Gt222*gt23L + + Gt322*gt33L) + gt23L*SQR(Gt223))) + gtu11*(4*(Gt113*gt13L + + Gt213*gt23L)*Gt313 + 2*(Gt113*(Gt111*gt13L + gt12L*Gt213 + Gt211*gt23L + + Gt311*gt33L) + Gt213*(Gt112*gt13L + Gt212*gt23L + Gt312*gt33L)) + + gt11L*SQR(Gt113) + gt22L*SQR(Gt213) + 3*gt33L*SQR(Gt313)) + + gtu22*(4*(Gt123*gt13L + Gt223*gt23L)*Gt323 + 2*(Gt123*(Gt112*gt13L + + gt12L*Gt223 + Gt212*gt23L + Gt312*gt33L) + Gt223*(Gt122*gt13L + + Gt222*gt23L + Gt322*gt33L)) + gt11L*SQR(Gt123) + gt22L*SQR(Gt223) + + 3*gt33L*SQR(Gt323)) + gtu33*(4*(Gt133*gt13L + Gt233*gt23L)*Gt333 + + 2*(Gt133*(Gt113*gt13L + gt12L*Gt233 + Gt213*gt23L + Gt313*gt33L) + + Gt233*(Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)) + gt11L*SQR(Gt133) + + gt22L*SQR(Gt233) + 3*gt33L*SQR(Gt333)) + + khalf*(-2*(gtu21*(J11L*J12L*PDstandardNth11gt33 + + J12L*J21L*PDstandardNth12gt33 + J11L*J22L*PDstandardNth12gt33 + + J12L*J31L*PDstandardNth13gt33 + J11L*J32L*PDstandardNth13gt33 + + dJ112L*PDstandardNth1gt33 + J21L*J22L*PDstandardNth22gt33 + + J22L*J31L*PDstandardNth23gt33 + J21L*J32L*PDstandardNth23gt33 + + dJ212L*PDstandardNth2gt33 + J31L*J32L*PDstandardNth33gt33 + + dJ312L*PDstandardNth3gt33) + gtu31*(J11L*J13L*PDstandardNth11gt33 + + J13L*J21L*PDstandardNth12gt33 + J11L*J23L*PDstandardNth12gt33 + + J13L*J31L*PDstandardNth13gt33 + J11L*J33L*PDstandardNth13gt33 + + dJ113L*PDstandardNth1gt33 + J21L*J23L*PDstandardNth22gt33 + + J23L*J31L*PDstandardNth23gt33 + J21L*J33L*PDstandardNth23gt33 + + dJ213L*PDstandardNth2gt33 + J31L*J33L*PDstandardNth33gt33 + + dJ313L*PDstandardNth3gt33) + gtu32*(J12L*J13L*PDstandardNth11gt33 + + J13L*J22L*PDstandardNth12gt33 + J12L*J23L*PDstandardNth12gt33 + + J13L*J32L*PDstandardNth13gt33 + J12L*J33L*PDstandardNth13gt33 + + dJ123L*PDstandardNth1gt33 + J22L*J23L*PDstandardNth22gt33 + + J23L*J32L*PDstandardNth23gt33 + J22L*J33L*PDstandardNth23gt33 + + dJ223L*PDstandardNth2gt33 + J32L*J33L*PDstandardNth33gt33 + + dJ323L*PDstandardNth3gt33)) - gtu11*(2*J11L*J21L*PDstandardNth12gt33 + + 2*J11L*J31L*PDstandardNth13gt33 + dJ111L*PDstandardNth1gt33 + + 2*J21L*J31L*PDstandardNth23gt33 + dJ211L*PDstandardNth2gt33 + + dJ311L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J11L) + + PDstandardNth22gt33*SQR(J21L) + PDstandardNth33gt33*SQR(J31L)) - + gtu22*(2*J12L*J22L*PDstandardNth12gt33 + + 2*J12L*J32L*PDstandardNth13gt33 + dJ122L*PDstandardNth1gt33 + + 2*J22L*J32L*PDstandardNth23gt33 + dJ222L*PDstandardNth2gt33 + + dJ322L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J12L) + + PDstandardNth22gt33*SQR(J22L) + PDstandardNth33gt33*SQR(J32L)) - + gtu33*(2*J13L*J23L*PDstandardNth12gt33 + + 2*J13L*J33L*PDstandardNth13gt33 + dJ133L*PDstandardNth1gt33 + + 2*J23L*J33L*PDstandardNth23gt33 + dJ233L*PDstandardNth2gt33 + + dJ333L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J13L) + + PDstandardNth22gt33*SQR(J23L) + PDstandardNth33gt33*SQR(J33L))); + + CCTK_REAL_VEC fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL_VEC cdphi1 = fac1*(J11L*PDstandardNth1phi + + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi2 = fac1*(J12L*PDstandardNth1phi + + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi3 = fac1*(J13L*PDstandardNth1phi + + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); + + CCTK_REAL_VEC fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + + CCTK_REAL_VEC cdphi211 = fac1*((dJ111L - Gt111*J11L - Gt211*J12L - + Gt311*J13L)*PDstandardNth1phi + 2*(J11L*(J21L*PDstandardNth12phi + + J31L*PDstandardNth13phi) + J21L*J31L*PDstandardNth23phi) + (dJ211L - + Gt111*J21L - Gt211*J22L - Gt311*J23L)*PDstandardNth2phi + (dJ311L - + Gt111*J31L - Gt211*J32L - Gt311*J33L)*PDstandardNth3phi + + PDstandardNth11phi*SQR(J11L) + PDstandardNth22phi*SQR(J21L) + + PDstandardNth33phi*SQR(J31L)) + fac2*SQR(J11L*PDstandardNth1phi + + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi212 = fac2*(J11L*PDstandardNth1phi + + J21L*PDstandardNth2phi + + J31L*PDstandardNth3phi)*(J12L*PDstandardNth1phi + + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi) + + fac1*(J12L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + + J31L*PDstandardNth13phi) + J11L*(J22L*PDstandardNth12phi + + J32L*PDstandardNth13phi) + (dJ112L - Gt112*J11L - Gt212*J12L - + Gt312*J13L)*PDstandardNth1phi + J22L*(J21L*PDstandardNth22phi + + J31L*PDstandardNth23phi) + (dJ212L - Gt112*J21L - Gt212*J22L - + Gt312*J23L)*PDstandardNth2phi + J32L*(J21L*PDstandardNth23phi + + J31L*PDstandardNth33phi) + (dJ312L - Gt112*J31L - Gt212*J32L - + Gt312*J33L)*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi213 = fac2*(J11L*PDstandardNth1phi + + J21L*PDstandardNth2phi + + J31L*PDstandardNth3phi)*(J13L*PDstandardNth1phi + + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + + fac1*(J13L*(J11L*PDstandardNth11phi + J21L*PDstandardNth12phi + + J31L*PDstandardNth13phi) + J11L*(J23L*PDstandardNth12phi + + J33L*PDstandardNth13phi) + (dJ113L - Gt113*J11L - Gt213*J12L - + Gt313*J13L)*PDstandardNth1phi + J23L*(J21L*PDstandardNth22phi + + J31L*PDstandardNth23phi) + (dJ213L - Gt113*J21L - Gt213*J22L - + Gt313*J23L)*PDstandardNth2phi + J33L*(J21L*PDstandardNth23phi + + J31L*PDstandardNth33phi) + (dJ313L - Gt113*J31L - Gt213*J32L - + Gt313*J33L)*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi222 = fac1*((dJ122L - Gt122*J11L - Gt222*J12L - + Gt322*J13L)*PDstandardNth1phi + 2*(J12L*(J22L*PDstandardNth12phi + + J32L*PDstandardNth13phi) + J22L*J32L*PDstandardNth23phi) + (dJ222L - + Gt122*J21L - Gt222*J22L - Gt322*J23L)*PDstandardNth2phi + (dJ322L - + Gt122*J31L - Gt222*J32L - Gt322*J33L)*PDstandardNth3phi + + PDstandardNth11phi*SQR(J12L) + PDstandardNth22phi*SQR(J22L) + + PDstandardNth33phi*SQR(J32L)) + fac2*SQR(J12L*PDstandardNth1phi + + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi223 = fac2*(J12L*PDstandardNth1phi + + J22L*PDstandardNth2phi + + J32L*PDstandardNth3phi)*(J13L*PDstandardNth1phi + + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + + fac1*(J13L*(J12L*PDstandardNth11phi + J22L*PDstandardNth12phi + + J32L*PDstandardNth13phi) + J12L*(J23L*PDstandardNth12phi + + J33L*PDstandardNth13phi) + (dJ123L - Gt123*J11L - Gt223*J12L - + Gt323*J13L)*PDstandardNth1phi + J23L*(J22L*PDstandardNth22phi + + J32L*PDstandardNth23phi) + (dJ223L - Gt123*J21L - Gt223*J22L - + Gt323*J23L)*PDstandardNth2phi + J33L*(J22L*PDstandardNth23phi + + J32L*PDstandardNth33phi) + (dJ323L - Gt123*J31L - Gt223*J32L - + Gt323*J33L)*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi233 = fac1*((dJ133L - Gt133*J11L - Gt233*J12L - + Gt333*J13L)*PDstandardNth1phi + 2*(J13L*(J23L*PDstandardNth12phi + + J33L*PDstandardNth13phi) + J23L*J33L*PDstandardNth23phi) + (dJ233L - + Gt133*J21L - Gt233*J22L - Gt333*J23L)*PDstandardNth2phi + (dJ333L - + Gt133*J31L - Gt233*J32L - Gt333*J33L)*PDstandardNth3phi + + PDstandardNth11phi*SQR(J13L) + PDstandardNth22phi*SQR(J23L) + + PDstandardNth33phi*SQR(J33L)) + fac2*SQR(J13L*PDstandardNth1phi + + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); + + CCTK_REAL_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL_VEC em4phi = INV(e4phi); + + CCTK_REAL_VEC g11 = e4phi*gt11L; + + CCTK_REAL_VEC g12 = e4phi*gt12L; + + CCTK_REAL_VEC g13 = e4phi*gt13L; + + CCTK_REAL_VEC g22 = e4phi*gt22L; + + CCTK_REAL_VEC g23 = e4phi*gt23L; + + CCTK_REAL_VEC g33 = e4phi*gt33L; + + CCTK_REAL_VEC gu11 = em4phi*gtu11; + + CCTK_REAL_VEC gu21 = em4phi*gtu21; + + CCTK_REAL_VEC gu31 = em4phi*gtu31; + + CCTK_REAL_VEC gu22 = em4phi*gtu22; + + CCTK_REAL_VEC gu32 = em4phi*gtu32; + + CCTK_REAL_VEC gu33 = em4phi*gtu33; + + CCTK_REAL_VEC R11 = Rphi11 + Rt11; + + CCTK_REAL_VEC R12 = Rphi12 + Rt12; + + CCTK_REAL_VEC R13 = Rphi13 + Rt13; + + CCTK_REAL_VEC R22 = Rphi22 + Rt22; + + CCTK_REAL_VEC R23 = Rphi23 + Rt23; + + CCTK_REAL_VEC R33 = Rphi33 + Rt33; + + CCTK_REAL_VEC trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu21 + + eTxzL*gtu31 + eTyzL*gtu32) + eTzzL*gtu33); + + CCTK_REAL_VEC Ats11 = (-dJ111L + 4*cdphi1*J11L + Gt111*J11L + + Gt211*J12L + Gt311*J13L)*PDstandardNth1alpha - + 2*(J11L*J21L*PDstandardNth12alpha + J11L*J31L*PDstandardNth13alpha + + J21L*J31L*PDstandardNth23alpha) + (-dJ211L + 4*cdphi1*J21L + Gt111*J21L + + Gt211*J22L + Gt311*J23L)*PDstandardNth2alpha + (-dJ311L + + 4*cdphi1*J31L + Gt111*J31L + Gt211*J32L + + Gt311*J33L)*PDstandardNth3alpha + alphaL*R11 - + PDstandardNth11alpha*SQR(J11L) - PDstandardNth22alpha*SQR(J21L) - + PDstandardNth33alpha*SQR(J31L); + + CCTK_REAL_VEC Ats12 = -(J11L*J12L*PDstandardNth11alpha) - + J12L*J21L*PDstandardNth12alpha - J11L*J22L*PDstandardNth12alpha - + J12L*J31L*PDstandardNth13alpha - J11L*J32L*PDstandardNth13alpha + + (-dJ112L + 2*cdphi2*J11L + Gt112*J11L + 2*cdphi1*J12L + Gt212*J12L + + Gt312*J13L)*PDstandardNth1alpha - J21L*J22L*PDstandardNth22alpha - + J22L*J31L*PDstandardNth23alpha - J21L*J32L*PDstandardNth23alpha + + (-dJ212L + 2*cdphi2*J21L + Gt112*J21L + 2*cdphi1*J22L + Gt212*J22L + + Gt312*J23L)*PDstandardNth2alpha - J31L*J32L*PDstandardNth33alpha - + dJ312L*PDstandardNth3alpha + 2*cdphi2*J31L*PDstandardNth3alpha + + Gt112*J31L*PDstandardNth3alpha + 2*cdphi1*J32L*PDstandardNth3alpha + + Gt212*J32L*PDstandardNth3alpha + Gt312*J33L*PDstandardNth3alpha + + alphaL*R12; + + CCTK_REAL_VEC Ats13 = -(J11L*J13L*PDstandardNth11alpha) - + J13L*J21L*PDstandardNth12alpha - J11L*J23L*PDstandardNth12alpha - + J13L*J31L*PDstandardNth13alpha - J11L*J33L*PDstandardNth13alpha + + (-dJ113L + 2*cdphi3*J11L + Gt113*J11L + Gt213*J12L + 2*cdphi1*J13L + + Gt313*J13L)*PDstandardNth1alpha - J21L*J23L*PDstandardNth22alpha - + J23L*J31L*PDstandardNth23alpha - J21L*J33L*PDstandardNth23alpha + + (-dJ213L + 2*cdphi3*J21L + Gt113*J21L + Gt213*J22L + 2*cdphi1*J23L + + Gt313*J23L)*PDstandardNth2alpha - J31L*J33L*PDstandardNth33alpha - + dJ313L*PDstandardNth3alpha + 2*cdphi3*J31L*PDstandardNth3alpha + + Gt113*J31L*PDstandardNth3alpha + Gt213*J32L*PDstandardNth3alpha + + 2*cdphi1*J33L*PDstandardNth3alpha + Gt313*J33L*PDstandardNth3alpha + + alphaL*R13; + + CCTK_REAL_VEC Ats22 = (-dJ122L + Gt122*J11L + 4*cdphi2*J12L + + Gt222*J12L + Gt322*J13L)*PDstandardNth1alpha - + 2*(J12L*J22L*PDstandardNth12alpha + J12L*J32L*PDstandardNth13alpha + + J22L*J32L*PDstandardNth23alpha) + (-dJ222L + Gt122*J21L + 4*cdphi2*J22L + + Gt222*J22L + Gt322*J23L)*PDstandardNth2alpha + (-dJ322L + Gt122*J31L + + 4*cdphi2*J32L + Gt222*J32L + Gt322*J33L)*PDstandardNth3alpha + + alphaL*R22 - PDstandardNth11alpha*SQR(J12L) - + PDstandardNth22alpha*SQR(J22L) - PDstandardNth33alpha*SQR(J32L); + + CCTK_REAL_VEC Ats23 = -(J12L*J13L*PDstandardNth11alpha) - + J13L*J22L*PDstandardNth12alpha - J12L*J23L*PDstandardNth12alpha - + J13L*J32L*PDstandardNth13alpha - J12L*J33L*PDstandardNth13alpha + + (-dJ123L + Gt123*J11L + 2*cdphi3*J12L + Gt223*J12L + 2*cdphi2*J13L + + Gt323*J13L)*PDstandardNth1alpha - J22L*J23L*PDstandardNth22alpha - + J23L*J32L*PDstandardNth23alpha - J22L*J33L*PDstandardNth23alpha + + (-dJ223L + Gt123*J21L + 2*cdphi3*J22L + Gt223*J22L + 2*cdphi2*J23L + + Gt323*J23L)*PDstandardNth2alpha - J32L*J33L*PDstandardNth33alpha - + dJ323L*PDstandardNth3alpha + Gt123*J31L*PDstandardNth3alpha + + 2*cdphi3*J32L*PDstandardNth3alpha + Gt223*J32L*PDstandardNth3alpha + + 2*cdphi2*J33L*PDstandardNth3alpha + Gt323*J33L*PDstandardNth3alpha + + alphaL*R23; + + CCTK_REAL_VEC Ats33 = (-dJ133L + Gt133*J11L + Gt233*J12L + + 4*cdphi3*J13L + Gt333*J13L)*PDstandardNth1alpha - + 2*(J13L*J23L*PDstandardNth12alpha + J13L*J33L*PDstandardNth13alpha + + J23L*J33L*PDstandardNth23alpha) + (-dJ233L + Gt133*J21L + Gt233*J22L + + 4*cdphi3*J23L + Gt333*J23L)*PDstandardNth2alpha + (-dJ333L + Gt133*J31L + + Gt233*J32L + 4*cdphi3*J33L + Gt333*J33L)*PDstandardNth3alpha + + alphaL*R33 - PDstandardNth11alpha*SQR(J13L) - + PDstandardNth22alpha*SQR(J23L) - PDstandardNth33alpha*SQR(J33L); + + CCTK_REAL_VEC trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; + + CCTK_REAL_VEC At11rhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1At11 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2At11 + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3At11 - + At11L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3) + 2*(J11L*(At11L*PDstandardNth1beta1 + + At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + + J21L*(At11L*PDstandardNth2beta1 + At12L*PDstandardNth2beta2 + + At13L*PDstandardNth2beta3) + J31L*(At11L*PDstandardNth3beta1 + + At12L*PDstandardNth3beta2 + At13L*PDstandardNth3beta3)) + (beta1L*J11L + + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1At11 + (beta1L*J21L + + beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2At11 + (beta1L*J31L + + beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3At11 + + alphaL*(-2*(At11L*Atm11 + At12L*Atm21 + At13L*Atm31) + At11L*trKL) + + em4phi*(Ats11 - g11*kthird*trAts - + 25.13274122871834590770114706623602307358*alphaL*(eTxxL - + g11*kthird*trS)) + (J11L*PDupwindNthSymm1At11 + + J21L*PDupwindNthSymm2At11 + J31L*PDupwindNthSymm3At11)*Abs(beta1L) + + (J12L*PDupwindNthSymm1At11 + J22L*PDupwindNthSymm2At11 + + J32L*PDupwindNthSymm3At11)*Abs(beta2L) + (J13L*PDupwindNthSymm1At11 + + J23L*PDupwindNthSymm2At11 + J33L*PDupwindNthSymm3At11)*Abs(beta3L); + + CCTK_REAL_VEC At12rhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1At12 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2At12 + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3At12 + (At12L*J11L + + At11L*J12L)*PDstandardNth1beta1 + (At22L*J11L + + At12L*J12L)*PDstandardNth1beta2 + (At23L*J11L + + At13L*J12L)*PDstandardNth1beta3 + (At12L*J21L + + At11L*J22L)*PDstandardNth2beta1 + (At22L*J21L + + At12L*J22L)*PDstandardNth2beta2 + (At23L*J21L + + At13L*J22L)*PDstandardNth2beta3 + (At12L*J31L + + At11L*J32L)*PDstandardNth3beta1 + (At22L*J31L + + At12L*J32L)*PDstandardNth3beta2 + (At23L*J31L + + At13L*J32L)*PDstandardNth3beta3 - + At12L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3) + (beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1At12 + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2At12 + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3At12 + alphaL*(-2*(At11L*Atm12 + + At12L*Atm22 + At13L*Atm32) + At12L*trKL) + em4phi*(Ats12 - + g12*kthird*trAts - + 25.13274122871834590770114706623602307358*alphaL*(eTxyL - + g12*kthird*trS)) + (J11L*PDupwindNthSymm1At12 + + J21L*PDupwindNthSymm2At12 + J31L*PDupwindNthSymm3At12)*Abs(beta1L) + + (J12L*PDupwindNthSymm1At12 + J22L*PDupwindNthSymm2At12 + + J32L*PDupwindNthSymm3At12)*Abs(beta2L) + (J13L*PDupwindNthSymm1At12 + + J23L*PDupwindNthSymm2At12 + J33L*PDupwindNthSymm3At12)*Abs(beta3L); + + CCTK_REAL_VEC At13rhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1At13 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2At13 + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3At13 + (At13L*J11L + + At11L*J13L)*PDstandardNth1beta1 + (At23L*J11L + + At12L*J13L)*PDstandardNth1beta2 + (At33L*J11L + + At13L*J13L)*PDstandardNth1beta3 + (At13L*J21L + + At11L*J23L)*PDstandardNth2beta1 + (At23L*J21L + + At12L*J23L)*PDstandardNth2beta2 + (At33L*J21L + + At13L*J23L)*PDstandardNth2beta3 + (At13L*J31L + + At11L*J33L)*PDstandardNth3beta1 + (At23L*J31L + + At12L*J33L)*PDstandardNth3beta2 + (At33L*J31L + + At13L*J33L)*PDstandardNth3beta3 - + At13L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3) + (beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1At13 + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2At13 + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3At13 + alphaL*(-2*(At11L*Atm13 + + At12L*Atm23 + At13L*Atm33) + At13L*trKL) + em4phi*(Ats13 - + g13*kthird*trAts - + 25.13274122871834590770114706623602307358*alphaL*(eTxzL - + g13*kthird*trS)) + (J11L*PDupwindNthSymm1At13 + + J21L*PDupwindNthSymm2At13 + J31L*PDupwindNthSymm3At13)*Abs(beta1L) + + (J12L*PDupwindNthSymm1At13 + J22L*PDupwindNthSymm2At13 + + J32L*PDupwindNthSymm3At13)*Abs(beta2L) + (J13L*PDupwindNthSymm1At13 + + J23L*PDupwindNthSymm2At13 + J33L*PDupwindNthSymm3At13)*Abs(beta3L); + + CCTK_REAL_VEC At22rhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1At22 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2At22 + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3At22 - + At22L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3) + 2*(J12L*(At12L*PDstandardNth1beta1 + + At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3) + + J22L*(At12L*PDstandardNth2beta1 + At22L*PDstandardNth2beta2 + + At23L*PDstandardNth2beta3) + J32L*(At12L*PDstandardNth3beta1 + + At22L*PDstandardNth3beta2 + At23L*PDstandardNth3beta3)) + (beta1L*J11L + + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1At22 + (beta1L*J21L + + beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2At22 + (beta1L*J31L + + beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3At22 + + alphaL*(-2*(At12L*Atm12 + At22L*Atm22 + At23L*Atm32) + At22L*trKL) + + em4phi*(Ats22 - g22*kthird*trAts - + 25.13274122871834590770114706623602307358*alphaL*(eTyyL - + g22*kthird*trS)) + (J11L*PDupwindNthSymm1At22 + + J21L*PDupwindNthSymm2At22 + J31L*PDupwindNthSymm3At22)*Abs(beta1L) + + (J12L*PDupwindNthSymm1At22 + J22L*PDupwindNthSymm2At22 + + J32L*PDupwindNthSymm3At22)*Abs(beta2L) + (J13L*PDupwindNthSymm1At22 + + J23L*PDupwindNthSymm2At22 + J33L*PDupwindNthSymm3At22)*Abs(beta3L); + + CCTK_REAL_VEC At23rhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1At23 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2At23 + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3At23 + (At13L*J12L + + At12L*J13L)*PDstandardNth1beta1 + (At23L*J12L + + At22L*J13L)*PDstandardNth1beta2 + (At33L*J12L + + At23L*J13L)*PDstandardNth1beta3 + (At13L*J22L + + At12L*J23L)*PDstandardNth2beta1 + (At23L*J22L + + At22L*J23L)*PDstandardNth2beta2 + (At33L*J22L + + At23L*J23L)*PDstandardNth2beta3 + (At13L*J32L + + At12L*J33L)*PDstandardNth3beta1 + (At23L*J32L + + At22L*J33L)*PDstandardNth3beta2 + (At33L*J32L + + At23L*J33L)*PDstandardNth3beta3 - + At23L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3) + (beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1At23 + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2At23 + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3At23 + alphaL*(-2*(At12L*Atm13 + + At22L*Atm23 + At23L*Atm33) + At23L*trKL) + em4phi*(Ats23 - + g23*kthird*trAts - + 25.13274122871834590770114706623602307358*alphaL*(eTyzL - + g23*kthird*trS)) + (J11L*PDupwindNthSymm1At23 + + J21L*PDupwindNthSymm2At23 + J31L*PDupwindNthSymm3At23)*Abs(beta1L) + + (J12L*PDupwindNthSymm1At23 + J22L*PDupwindNthSymm2At23 + + J32L*PDupwindNthSymm3At23)*Abs(beta2L) + (J13L*PDupwindNthSymm1At23 + + J23L*PDupwindNthSymm2At23 + J33L*PDupwindNthSymm3At23)*Abs(beta3L); + + CCTK_REAL_VEC At33rhsL = (epsdiss1*J11L + epsdiss2*J12L + + epsdiss3*J13L)*PDdissipationNth1At33 + (epsdiss1*J21L + epsdiss2*J22L + + epsdiss3*J23L)*PDdissipationNth2At33 + (epsdiss1*J31L + epsdiss2*J32L + + epsdiss3*J33L)*PDdissipationNth3At33 - + At33L*ktwothird*(J11L*PDstandardNth1beta1 + J12L*PDstandardNth1beta2 + + J13L*PDstandardNth1beta3 + J21L*PDstandardNth2beta1 + + J22L*PDstandardNth2beta2 + J23L*PDstandardNth2beta3 + + J31L*PDstandardNth3beta1 + J32L*PDstandardNth3beta2 + + J33L*PDstandardNth3beta3) + 2*(J13L*(At13L*PDstandardNth1beta1 + + At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3) + + J23L*(At13L*PDstandardNth2beta1 + At23L*PDstandardNth2beta2 + + At33L*PDstandardNth2beta3) + J33L*(At13L*PDstandardNth3beta1 + + At23L*PDstandardNth3beta2 + At33L*PDstandardNth3beta3)) + (beta1L*J11L + + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1At33 + (beta1L*J21L + + beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2At33 + (beta1L*J31L + + beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3At33 + + alphaL*(-2*(At13L*Atm13 + At23L*Atm23 + At33L*Atm33) + At33L*trKL) + + em4phi*(Ats33 - g33*kthird*trAts - + 25.13274122871834590770114706623602307358*alphaL*(eTzzL - + g33*kthird*trS)) + (J11L*PDupwindNthSymm1At33 + + J21L*PDupwindNthSymm2At33 + J31L*PDupwindNthSymm3At33)*Abs(beta1L) + + (J12L*PDupwindNthSymm1At33 + J22L*PDupwindNthSymm2At33 + + J32L*PDupwindNthSymm3At33)*Abs(beta2L) + (J13L*PDupwindNthSymm1At33 + + J23L*PDupwindNthSymm2At33 + J33L*PDupwindNthSymm3At33)*Abs(beta3L); + + + /* Copy local copies back to grid functions */ + vec_store_nta(At11rhs[index],At11rhsL); + vec_store_nta(At12rhs[index],At12rhsL); + vec_store_nta(At13rhs[index],At13rhsL); + vec_store_nta(At22rhs[index],At22rhsL); + vec_store_nta(At23rhs[index],At23rhsL); + vec_store_nta(At33rhs[index],At33rhsL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_MP_RHS2); +} + +extern "C" void ML_BSSN_MP_RHS2(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_RHS2_Body); +} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHSRadiativeBoundary.c b/ML_BSSN_MP/src/ML_BSSN_MP_RHSRadiativeBoundary.c deleted file mode 100644 index b97a711..0000000 --- a/ML_BSSN_MP/src/ML_BSSN_MP_RHSRadiativeBoundary.c +++ /dev/null @@ -1,346 +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_MP_RHSRadiativeBoundary_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_RHSRadiativeBoundary_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_RHSRadiativeBoundary_calc_every != ML_BSSN_MP_RHSRadiativeBoundary_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_MP_RHSRadiativeBoundary, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of 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 J11L = J11[index]; - CCTK_REAL J12L = J12[index]; - CCTK_REAL J13L = J13[index]; - CCTK_REAL J21L = J21[index]; - CCTK_REAL J22L = J22[index]; - CCTK_REAL J23L = J23[index]; - CCTK_REAL J31L = J31[index]; - CCTK_REAL J32L = J32[index]; - CCTK_REAL J33L = J33[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 */ - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(normal[0]); - - int dir2 = Sign(normal[1]); - - int dir3 = Sign(normal[2]); - - CCTK_REAL detgt = 1; - - 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 em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - - 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 nn1 = normal[0]; - - CCTK_REAL nn2 = normal[1]; - - CCTK_REAL nn3 = normal[2]; - - CCTK_REAL nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; - - CCTK_REAL nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; - - CCTK_REAL nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; - - CCTK_REAL nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; - - CCTK_REAL nlen = pow(nlen2,0.5); - - CCTK_REAL su1 = nu1*INV(nlen); - - CCTK_REAL su2 = nu2*INV(nlen); - - CCTK_REAL su3 = nu3*INV(nlen); - - CCTK_REAL vg = pow(harmonicF,0.5); - - CCTK_REAL phirhsL = -((PDonesided1(phi, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3) + PDonesided2(phi, i, j, k)*(J21L*su1 + J22L*su2 - + J23L*su3) + PDonesided3(phi, i, j, k)*(J31L*su1 + J32L*su2 + - J33L*su3))*vg); - - CCTK_REAL gt11rhsL = -(PDonesided1(gt11, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(gt11, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(gt11, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL gt12rhsL = -(PDonesided1(gt12, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(gt12, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(gt12, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL gt13rhsL = -(PDonesided1(gt13, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(gt13, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(gt13, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL gt22rhsL = -(PDonesided1(gt22, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(gt22, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(gt22, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL gt23rhsL = -(PDonesided1(gt23, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(gt23, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(gt23, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL gt33rhsL = -(PDonesided1(gt33, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(gt33, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(gt33, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL trKrhsL = -((PDonesided1(trK, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3) + PDonesided2(trK, i, j, k)*(J21L*su1 + J22L*su2 - + J23L*su3) + PDonesided3(trK, i, j, k)*(J31L*su1 + J32L*su2 + - J33L*su3))*vg); - - CCTK_REAL At11rhsL = -(PDonesided1(At11, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(At11, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(At11, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL At12rhsL = -(PDonesided1(At12, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(At12, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(At12, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL At13rhsL = -(PDonesided1(At13, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(At13, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(At13, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL At22rhsL = -(PDonesided1(At22, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(At22, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(At22, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL At23rhsL = -(PDonesided1(At23, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(At23, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(At23, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL At33rhsL = -(PDonesided1(At33, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(At33, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(At33, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*(J11L*su1 + J12L*su2 - + J13L*su3)) - PDonesided2(Xt1, i, j, k)*(J21L*su1 + J22L*su2 + - J23L*su3) - PDonesided3(Xt1, i, j, k)*(J31L*su1 + J32L*su2 + - J33L*su3); - - CCTK_REAL Xt2rhsL = -(PDonesided1(Xt2, i, j, k)*(J11L*su1 + J12L*su2 - + J13L*su3)) - PDonesided2(Xt2, i, j, k)*(J21L*su1 + J22L*su2 + - J23L*su3) - PDonesided3(Xt2, i, j, k)*(J31L*su1 + J32L*su2 + - J33L*su3); - - CCTK_REAL Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*(J11L*su1 + J12L*su2 - + J13L*su3)) - PDonesided2(Xt3, i, j, k)*(J21L*su1 + J22L*su2 + - J23L*su3) - PDonesided3(Xt3, i, j, k)*(J31L*su1 + J32L*su2 + - J33L*su3); - - CCTK_REAL alpharhsL = -((PDonesided1(alpha, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3) + PDonesided2(alpha, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) + PDonesided3(alpha, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3))*vg); - - CCTK_REAL ArhsL = -((PDonesided1(A, i, j, k)*(J11L*su1 + J12L*su2 + - J13L*su3) + PDonesided2(A, i, j, k)*(J21L*su1 + J22L*su2 + J23L*su3) - + PDonesided3(A, i, j, k)*(J31L*su1 + J32L*su2 + J33L*su3))*vg); - - CCTK_REAL beta1rhsL = -(PDonesided1(beta1, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(beta1, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(beta1, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL beta2rhsL = -(PDonesided1(beta2, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(beta2, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(beta2, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL beta3rhsL = -(PDonesided1(beta3, i, j, k)*(J11L*su1 + - J12L*su2 + J13L*su3)) - PDonesided2(beta3, i, j, k)*(J21L*su1 + - J22L*su2 + J23L*su3) - PDonesided3(beta3, i, j, k)*(J31L*su1 + - J32L*su2 + J33L*su3); - - CCTK_REAL B1rhsL = -(PDonesided1(B1, i, j, k)*(J11L*su1 + J12L*su2 + - J13L*su3)) - PDonesided2(B1, i, j, k)*(J21L*su1 + J22L*su2 + - J23L*su3) - PDonesided3(B1, i, j, k)*(J31L*su1 + J32L*su2 + - J33L*su3); - - CCTK_REAL B2rhsL = -(PDonesided1(B2, i, j, k)*(J11L*su1 + J12L*su2 + - J13L*su3)) - PDonesided2(B2, i, j, k)*(J21L*su1 + J22L*su2 + - J23L*su3) - PDonesided3(B2, i, j, k)*(J31L*su1 + J32L*su2 + - J33L*su3); - - CCTK_REAL B3rhsL = -(PDonesided1(B3, i, j, k)*(J11L*su1 + J12L*su2 + - J13L*su3)) - PDonesided2(B3, i, j, k)*(J21L*su1 + J22L*su2 + - J23L*su3) - PDonesided3(B3, i, j, k)*(J31L*su1 + J32L*su2 + - J33L*su3); - - - /* Copy local copies back to grid functions */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - } - LC_ENDLOOP3 (ML_BSSN_MP_RHSRadiativeBoundary); -} - -void ML_BSSN_MP_RHSRadiativeBoundary(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverBoundary(cctkGH, &ML_BSSN_MP_RHSRadiativeBoundary_Body); -} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHSRadiativeBoundary.cc b/ML_BSSN_MP/src/ML_BSSN_MP_RHSRadiativeBoundary.cc new file mode 100644 index 0000000..e25b8b1 --- /dev/null +++ b/ML_BSSN_MP/src/ML_BSSN_MP_RHSRadiativeBoundary.cc @@ -0,0 +1,355 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_MP_RHSRadiativeBoundary_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_RHSRadiativeBoundary_Body"); + } + + if (cctk_iteration % ML_BSSN_MP_RHSRadiativeBoundary_calc_every != ML_BSSN_MP_RHSRadiativeBoundary_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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; + 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_MP_RHSRadiativeBoundary, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC J11L = vec_load(J11[index]); + CCTK_REAL_VEC J12L = vec_load(J12[index]); + CCTK_REAL_VEC J13L = vec_load(J13[index]); + CCTK_REAL_VEC J21L = vec_load(J21[index]); + CCTK_REAL_VEC J22L = vec_load(J22[index]); + CCTK_REAL_VEC J23L = vec_load(J23[index]); + CCTK_REAL_VEC J31L = vec_load(J31[index]); + CCTK_REAL_VEC J32L = vec_load(J32[index]); + CCTK_REAL_VEC J33L = vec_load(J33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(normal[0]); + + int dir2 = Sign(normal[1]); + + int dir3 = Sign(normal[2]); + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + + CCTK_REAL_VEC gu11 = em4phi*gtu11; + + CCTK_REAL_VEC gu21 = em4phi*gtu21; + + CCTK_REAL_VEC gu31 = em4phi*gtu31; + + CCTK_REAL_VEC gu22 = em4phi*gtu22; + + CCTK_REAL_VEC gu32 = em4phi*gtu32; + + CCTK_REAL_VEC gu33 = em4phi*gtu33; + + CCTK_REAL_VEC nn1 = normal[0]; + + CCTK_REAL_VEC nn2 = normal[1]; + + CCTK_REAL_VEC nn3 = normal[2]; + + CCTK_REAL_VEC nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; + + CCTK_REAL_VEC nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; + + CCTK_REAL_VEC nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; + + CCTK_REAL_VEC nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; + + CCTK_REAL_VEC nlen = pow(nlen2,0.5); + + CCTK_REAL_VEC su1 = nu1*INV(nlen); + + CCTK_REAL_VEC su2 = nu2*INV(nlen); + + CCTK_REAL_VEC su3 = nu3*INV(nlen); + + CCTK_REAL_VEC vg = pow(harmonicF,0.5); + + CCTK_REAL_VEC phirhsL = -((PDonesided1(phi, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3) + PDonesided2(phi, i, j, k)*(J21L*su1 + J22L*su2 + + J23L*su3) + PDonesided3(phi, i, j, k)*(J31L*su1 + J32L*su2 + + J33L*su3))*vg); + + CCTK_REAL_VEC gt11rhsL = -(PDonesided1(gt11, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(gt11, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(gt11, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC gt12rhsL = -(PDonesided1(gt12, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(gt12, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(gt12, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC gt13rhsL = -(PDonesided1(gt13, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(gt13, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(gt13, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC gt22rhsL = -(PDonesided1(gt22, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(gt22, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(gt22, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC gt23rhsL = -(PDonesided1(gt23, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(gt23, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(gt23, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC gt33rhsL = -(PDonesided1(gt33, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(gt33, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(gt33, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC trKrhsL = -((PDonesided1(trK, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3) + PDonesided2(trK, i, j, k)*(J21L*su1 + J22L*su2 + + J23L*su3) + PDonesided3(trK, i, j, k)*(J31L*su1 + J32L*su2 + + J33L*su3))*vg); + + CCTK_REAL_VEC At11rhsL = -(PDonesided1(At11, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(At11, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(At11, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC At12rhsL = -(PDonesided1(At12, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(At12, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(At12, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC At13rhsL = -(PDonesided1(At13, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(At13, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(At13, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC At22rhsL = -(PDonesided1(At22, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(At22, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(At22, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC At23rhsL = -(PDonesided1(At23, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(At23, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(At23, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC At33rhsL = -(PDonesided1(At33, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(At33, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(At33, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(Xt1, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(Xt1, i, j, k)*(J31L*su1 + J32L*su2 + + J33L*su3); + + CCTK_REAL_VEC Xt2rhsL = -(PDonesided1(Xt2, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(Xt2, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(Xt2, i, j, k)*(J31L*su1 + J32L*su2 + + J33L*su3); + + CCTK_REAL_VEC Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(Xt3, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(Xt3, i, j, k)*(J31L*su1 + J32L*su2 + + J33L*su3); + + CCTK_REAL_VEC alpharhsL = -((PDonesided1(alpha, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3) + PDonesided2(alpha, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) + PDonesided3(alpha, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3))*vg); + + CCTK_REAL_VEC ArhsL = -((PDonesided1(A, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3) + PDonesided2(A, i, j, k)*(J21L*su1 + J22L*su2 + + J23L*su3) + PDonesided3(A, i, j, k)*(J31L*su1 + J32L*su2 + + J33L*su3))*vg); + + CCTK_REAL_VEC beta1rhsL = -(PDonesided1(beta1, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(beta1, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(beta1, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC beta2rhsL = -(PDonesided1(beta2, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(beta2, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(beta2, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC beta3rhsL = -(PDonesided1(beta3, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(beta3, i, j, k)*(J21L*su1 + + J22L*su2 + J23L*su3) - PDonesided3(beta3, i, j, k)*(J31L*su1 + + J32L*su2 + J33L*su3); + + CCTK_REAL_VEC B1rhsL = -(PDonesided1(B1, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(B1, i, j, k)*(J21L*su1 + J22L*su2 + + J23L*su3) - PDonesided3(B1, i, j, k)*(J31L*su1 + J32L*su2 + + J33L*su3); + + CCTK_REAL_VEC B2rhsL = -(PDonesided1(B2, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(B2, i, j, k)*(J21L*su1 + J22L*su2 + + J23L*su3) - PDonesided3(B2, i, j, k)*(J31L*su1 + J32L*su2 + + J33L*su3); + + CCTK_REAL_VEC B3rhsL = -(PDonesided1(B3, i, j, k)*(J11L*su1 + + J12L*su2 + J13L*su3)) - PDonesided2(B3, i, j, k)*(J21L*su1 + J22L*su2 + + J23L*su3) - PDonesided3(B3, i, j, k)*(J31L*su1 + J32L*su2 + + J33L*su3); + + + /* Copy local copies back to grid functions */ + vec_store_nta(alpharhs[index],alpharhsL); + vec_store_nta(Arhs[index],ArhsL); + vec_store_nta(At11rhs[index],At11rhsL); + vec_store_nta(At12rhs[index],At12rhsL); + vec_store_nta(At13rhs[index],At13rhsL); + vec_store_nta(At22rhs[index],At22rhsL); + vec_store_nta(At23rhs[index],At23rhsL); + vec_store_nta(At33rhs[index],At33rhsL); + vec_store_nta(B1rhs[index],B1rhsL); + vec_store_nta(B2rhs[index],B2rhsL); + vec_store_nta(B3rhs[index],B3rhsL); + vec_store_nta(beta1rhs[index],beta1rhsL); + vec_store_nta(beta2rhs[index],beta2rhsL); + vec_store_nta(beta3rhs[index],beta3rhsL); + vec_store_nta(gt11rhs[index],gt11rhsL); + vec_store_nta(gt12rhs[index],gt12rhsL); + vec_store_nta(gt13rhs[index],gt13rhsL); + vec_store_nta(gt22rhs[index],gt22rhsL); + vec_store_nta(gt23rhs[index],gt23rhsL); + vec_store_nta(gt33rhs[index],gt33rhsL); + vec_store_nta(phirhs[index],phirhsL); + vec_store_nta(trKrhs[index],trKrhsL); + vec_store_nta(Xt1rhs[index],Xt1rhsL); + vec_store_nta(Xt2rhs[index],Xt2rhsL); + vec_store_nta(Xt3rhs[index],Xt3rhsL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_MP_RHSRadiativeBoundary); +} + +extern "C" void ML_BSSN_MP_RHSRadiativeBoundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundary(cctkGH, &ML_BSSN_MP_RHSRadiativeBoundary_Body); +} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_RHSStaticBoundary.c b/ML_BSSN_MP/src/ML_BSSN_MP_RHSStaticBoundary.cc index ce64b33..3679c84 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_RHSStaticBoundary.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_RHSStaticBoundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_RHSStaticBoundary_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[]) +static void ML_BSSN_MP_RHSStaticBoundary_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; @@ -66,6 +67,12 @@ void ML_BSSN_MP_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int co 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -90,88 +97,89 @@ void ML_BSSN_MP_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int co /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL phirhsL = 0; + CCTK_REAL_VEC phirhsL = 0; - CCTK_REAL gt11rhsL = 0; + CCTK_REAL_VEC gt11rhsL = 0; - CCTK_REAL gt12rhsL = 0; + CCTK_REAL_VEC gt12rhsL = 0; - CCTK_REAL gt13rhsL = 0; + CCTK_REAL_VEC gt13rhsL = 0; - CCTK_REAL gt22rhsL = 0; + CCTK_REAL_VEC gt22rhsL = 0; - CCTK_REAL gt23rhsL = 0; + CCTK_REAL_VEC gt23rhsL = 0; - CCTK_REAL gt33rhsL = 0; + CCTK_REAL_VEC gt33rhsL = 0; - CCTK_REAL trKrhsL = 0; + CCTK_REAL_VEC trKrhsL = 0; - CCTK_REAL At11rhsL = 0; + CCTK_REAL_VEC At11rhsL = 0; - CCTK_REAL At12rhsL = 0; + CCTK_REAL_VEC At12rhsL = 0; - CCTK_REAL At13rhsL = 0; + CCTK_REAL_VEC At13rhsL = 0; - CCTK_REAL At22rhsL = 0; + CCTK_REAL_VEC At22rhsL = 0; - CCTK_REAL At23rhsL = 0; + CCTK_REAL_VEC At23rhsL = 0; - CCTK_REAL At33rhsL = 0; + CCTK_REAL_VEC At33rhsL = 0; - CCTK_REAL Xt1rhsL = 0; + CCTK_REAL_VEC Xt1rhsL = 0; - CCTK_REAL Xt2rhsL = 0; + CCTK_REAL_VEC Xt2rhsL = 0; - CCTK_REAL Xt3rhsL = 0; + CCTK_REAL_VEC Xt3rhsL = 0; - CCTK_REAL alpharhsL = 0; + CCTK_REAL_VEC alpharhsL = 0; - CCTK_REAL ArhsL = 0; + CCTK_REAL_VEC ArhsL = 0; - CCTK_REAL beta1rhsL = 0; + CCTK_REAL_VEC beta1rhsL = 0; - CCTK_REAL beta2rhsL = 0; + CCTK_REAL_VEC beta2rhsL = 0; - CCTK_REAL beta3rhsL = 0; + CCTK_REAL_VEC beta3rhsL = 0; - CCTK_REAL B1rhsL = 0; + CCTK_REAL_VEC B1rhsL = 0; - CCTK_REAL B2rhsL = 0; + CCTK_REAL_VEC B2rhsL = 0; - CCTK_REAL B3rhsL = 0; + CCTK_REAL_VEC B3rhsL = 0; /* Copy local copies back to grid functions */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; + vec_store_nta(alpharhs[index],alpharhsL); + vec_store_nta(Arhs[index],ArhsL); + vec_store_nta(At11rhs[index],At11rhsL); + vec_store_nta(At12rhs[index],At12rhsL); + vec_store_nta(At13rhs[index],At13rhsL); + vec_store_nta(At22rhs[index],At22rhsL); + vec_store_nta(At23rhs[index],At23rhsL); + vec_store_nta(At33rhs[index],At33rhsL); + vec_store_nta(B1rhs[index],B1rhsL); + vec_store_nta(B2rhs[index],B2rhsL); + vec_store_nta(B3rhs[index],B3rhsL); + vec_store_nta(beta1rhs[index],beta1rhsL); + vec_store_nta(beta2rhs[index],beta2rhsL); + vec_store_nta(beta3rhs[index],beta3rhsL); + vec_store_nta(gt11rhs[index],gt11rhsL); + vec_store_nta(gt12rhs[index],gt12rhsL); + vec_store_nta(gt13rhs[index],gt13rhsL); + vec_store_nta(gt22rhs[index],gt22rhsL); + vec_store_nta(gt23rhs[index],gt23rhsL); + vec_store_nta(gt33rhs[index],gt33rhsL); + vec_store_nta(phirhs[index],phirhsL); + vec_store_nta(trKrhs[index],trKrhsL); + vec_store_nta(Xt1rhs[index],Xt1rhsL); + vec_store_nta(Xt2rhs[index],Xt2rhsL); + vec_store_nta(Xt3rhs[index],Xt3rhsL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_MP_RHSStaticBoundary); } -void ML_BSSN_MP_RHSStaticBoundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_MP_RHSStaticBoundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_boundary.c b/ML_BSSN_MP/src/ML_BSSN_MP_boundary.cc index b72ee0a..cad90f3 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_boundary.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_boundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_boundary_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[]) +static void ML_BSSN_MP_boundary_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; @@ -66,6 +67,12 @@ void ML_BSSN_MP_boundary_Body(cGH const * restrict const cctkGH, int const dir, 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -90,88 +97,89 @@ void ML_BSSN_MP_boundary_Body(cGH const * restrict const cctkGH, int const dir, /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL phiL = IfThen(conformalMethod,1,0); + CCTK_REAL_VEC phiL = IfThen(conformalMethod,1,0); - CCTK_REAL gt11L = 1; + CCTK_REAL_VEC gt11L = 1; - CCTK_REAL gt12L = 0; + CCTK_REAL_VEC gt12L = 0; - CCTK_REAL gt13L = 0; + CCTK_REAL_VEC gt13L = 0; - CCTK_REAL gt22L = 1; + CCTK_REAL_VEC gt22L = 1; - CCTK_REAL gt23L = 0; + CCTK_REAL_VEC gt23L = 0; - CCTK_REAL gt33L = 1; + CCTK_REAL_VEC gt33L = 1; - CCTK_REAL trKL = 0; + CCTK_REAL_VEC trKL = 0; - CCTK_REAL At11L = 0; + CCTK_REAL_VEC At11L = 0; - CCTK_REAL At12L = 0; + CCTK_REAL_VEC At12L = 0; - CCTK_REAL At13L = 0; + CCTK_REAL_VEC At13L = 0; - CCTK_REAL At22L = 0; + CCTK_REAL_VEC At22L = 0; - CCTK_REAL At23L = 0; + CCTK_REAL_VEC At23L = 0; - CCTK_REAL At33L = 0; + CCTK_REAL_VEC At33L = 0; - CCTK_REAL Xt1L = 0; + CCTK_REAL_VEC Xt1L = 0; - CCTK_REAL Xt2L = 0; + CCTK_REAL_VEC Xt2L = 0; - CCTK_REAL Xt3L = 0; + CCTK_REAL_VEC Xt3L = 0; - CCTK_REAL alphaL = 1; + CCTK_REAL_VEC alphaL = 1; - CCTK_REAL AL = 0; + CCTK_REAL_VEC AL = 0; - CCTK_REAL beta1L = 0; + CCTK_REAL_VEC beta1L = 0; - CCTK_REAL beta2L = 0; + CCTK_REAL_VEC beta2L = 0; - CCTK_REAL beta3L = 0; + CCTK_REAL_VEC beta3L = 0; - CCTK_REAL B1L = 0; + CCTK_REAL_VEC B1L = 0; - CCTK_REAL B2L = 0; + CCTK_REAL_VEC B2L = 0; - CCTK_REAL B3L = 0; + CCTK_REAL_VEC B3L = 0; /* Copy local copies back to grid functions */ - A[index] = AL; - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; + vec_store_nta(A[index],AL); + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + vec_store_nta(B1[index],B1L); + vec_store_nta(B2[index],B2L); + vec_store_nta(B3[index],B3L); + vec_store_nta(beta1[index],beta1L); + vec_store_nta(beta2[index],beta2L); + vec_store_nta(beta3[index],beta3L); + vec_store_nta(gt11[index],gt11L); + vec_store_nta(gt12[index],gt12L); + vec_store_nta(gt13[index],gt13L); + vec_store_nta(gt22[index],gt22L); + vec_store_nta(gt23[index],gt23L); + vec_store_nta(gt33[index],gt33L); + vec_store_nta(phi[index],phiL); + vec_store_nta(trK[index],trKL); + vec_store_nta(Xt1[index],Xt1L); + vec_store_nta(Xt2[index],Xt2L); + vec_store_nta(Xt3[index],Xt3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_MP_boundary); } -void ML_BSSN_MP_boundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_MP_boundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_constraints.c b/ML_BSSN_MP/src/ML_BSSN_MP_constraints.cc index b748ed4..05e196b 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_constraints.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_constraints.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_constraints_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[]) +static void ML_BSSN_MP_constraints_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; @@ -66,6 +67,12 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -82,273 +89,273 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di // int index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); /* Declare derivatives */ - // CCTK_REAL PDstandardNth1At11 = INITVALUE; - // CCTK_REAL PDstandardNth2At11 = INITVALUE; - // CCTK_REAL PDstandardNth3At11 = INITVALUE; - // CCTK_REAL PDstandardNth1At12 = INITVALUE; - // CCTK_REAL PDstandardNth2At12 = INITVALUE; - // CCTK_REAL PDstandardNth3At12 = INITVALUE; - // CCTK_REAL PDstandardNth1At13 = INITVALUE; - // CCTK_REAL PDstandardNth2At13 = INITVALUE; - // CCTK_REAL PDstandardNth3At13 = INITVALUE; - // CCTK_REAL PDstandardNth1At22 = INITVALUE; - // CCTK_REAL PDstandardNth2At22 = INITVALUE; - // CCTK_REAL PDstandardNth3At22 = INITVALUE; - // CCTK_REAL PDstandardNth1At23 = INITVALUE; - // CCTK_REAL PDstandardNth2At23 = INITVALUE; - // CCTK_REAL PDstandardNth3At23 = INITVALUE; - // CCTK_REAL PDstandardNth1At33 = INITVALUE; - // CCTK_REAL PDstandardNth2At33 = INITVALUE; - // CCTK_REAL PDstandardNth3At33 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth11phi = INITVALUE; - // CCTK_REAL PDstandardNth22phi = INITVALUE; - // CCTK_REAL PDstandardNth33phi = INITVALUE; - // CCTK_REAL PDstandardNth12phi = INITVALUE; - // CCTK_REAL PDstandardNth13phi = INITVALUE; - // CCTK_REAL PDstandardNth23phi = INITVALUE; - // CCTK_REAL PDstandardNth1trK = INITVALUE; - // CCTK_REAL PDstandardNth2trK = INITVALUE; - // CCTK_REAL PDstandardNth3trK = INITVALUE; - // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt3 = INITVALUE; /* Assign local copies of 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 dJ111L = dJ111[index]; - CCTK_REAL dJ112L = dJ112[index]; - CCTK_REAL dJ113L = dJ113[index]; - CCTK_REAL dJ122L = dJ122[index]; - CCTK_REAL dJ123L = dJ123[index]; - CCTK_REAL dJ133L = dJ133[index]; - CCTK_REAL dJ211L = dJ211[index]; - CCTK_REAL dJ212L = dJ212[index]; - CCTK_REAL dJ213L = dJ213[index]; - CCTK_REAL dJ222L = dJ222[index]; - CCTK_REAL dJ223L = dJ223[index]; - CCTK_REAL dJ233L = dJ233[index]; - CCTK_REAL dJ311L = dJ311[index]; - CCTK_REAL dJ312L = dJ312[index]; - CCTK_REAL dJ313L = dJ313[index]; - CCTK_REAL dJ322L = dJ322[index]; - CCTK_REAL dJ323L = dJ323[index]; - CCTK_REAL dJ333L = dJ333[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 J11L = J11[index]; - CCTK_REAL J12L = J12[index]; - CCTK_REAL J13L = J13[index]; - CCTK_REAL J21L = J21[index]; - CCTK_REAL J22L = J22[index]; - CCTK_REAL J23L = J23[index]; - CCTK_REAL J31L = J31[index]; - CCTK_REAL J32L = J32[index]; - CCTK_REAL J33L = J33[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]; + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC dJ111L = vec_load(dJ111[index]); + CCTK_REAL_VEC dJ112L = vec_load(dJ112[index]); + CCTK_REAL_VEC dJ113L = vec_load(dJ113[index]); + CCTK_REAL_VEC dJ122L = vec_load(dJ122[index]); + CCTK_REAL_VEC dJ123L = vec_load(dJ123[index]); + CCTK_REAL_VEC dJ133L = vec_load(dJ133[index]); + CCTK_REAL_VEC dJ211L = vec_load(dJ211[index]); + CCTK_REAL_VEC dJ212L = vec_load(dJ212[index]); + CCTK_REAL_VEC dJ213L = vec_load(dJ213[index]); + CCTK_REAL_VEC dJ222L = vec_load(dJ222[index]); + CCTK_REAL_VEC dJ223L = vec_load(dJ223[index]); + CCTK_REAL_VEC dJ233L = vec_load(dJ233[index]); + CCTK_REAL_VEC dJ311L = vec_load(dJ311[index]); + CCTK_REAL_VEC dJ312L = vec_load(dJ312[index]); + CCTK_REAL_VEC dJ313L = vec_load(dJ313[index]); + CCTK_REAL_VEC dJ322L = vec_load(dJ322[index]); + CCTK_REAL_VEC dJ323L = vec_load(dJ323[index]); + CCTK_REAL_VEC dJ333L = vec_load(dJ333[index]); + CCTK_REAL_VEC eTttL = (*stress_energy_state) ? vec_load(eTtt[index]) : 0.0; + CCTK_REAL_VEC eTtxL = (*stress_energy_state) ? vec_load(eTtx[index]) : 0.0; + CCTK_REAL_VEC eTtyL = (*stress_energy_state) ? vec_load(eTty[index]) : 0.0; + CCTK_REAL_VEC eTtzL = (*stress_energy_state) ? vec_load(eTtz[index]) : 0.0; + CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; + CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; + CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; + CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; + CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; + CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC J11L = vec_load(J11[index]); + CCTK_REAL_VEC J12L = vec_load(J12[index]); + CCTK_REAL_VEC J13L = vec_load(J13[index]); + CCTK_REAL_VEC J21L = vec_load(J21[index]); + CCTK_REAL_VEC J22L = vec_load(J22[index]); + CCTK_REAL_VEC J23L = vec_load(J23[index]); + CCTK_REAL_VEC J31L = vec_load(J31[index]); + CCTK_REAL_VEC J32L = vec_load(J32[index]); + CCTK_REAL_VEC J33L = vec_load(J33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); /* Include user supplied include files */ /* 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); - CCTK_REAL const PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); - CCTK_REAL const PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); - CCTK_REAL const PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); - CCTK_REAL const PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); - CCTK_REAL const PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); - CCTK_REAL const PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); - CCTK_REAL const PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); - CCTK_REAL const PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); - CCTK_REAL const PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); - CCTK_REAL const PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); - CCTK_REAL const PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); - CCTK_REAL const PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); - CCTK_REAL const PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); - CCTK_REAL const PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); - CCTK_REAL const PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); - 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); - CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At11 = PDstandardNth1(At11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At11 = PDstandardNth2(At11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At11 = PDstandardNth3(At11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); /* Calculate temporaries and grid functions */ - CCTK_REAL detgt = 1; + CCTK_REAL_VEC detgt = 1; - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL Gt111 = khalf*((gtu11*J11L - gtu21*J12L - + CCTK_REAL_VEC Gt111 = khalf*((gtu11*J11L - gtu21*J12L - gtu31*J13L)*PDstandardNth1gt11 + (gtu11*J21L - gtu21*J22L - gtu31*J23L)*PDstandardNth2gt11 + (gtu11*J31L - gtu21*J32L - gtu31*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu21*PDstandardNth1gt12 + @@ -356,7 +363,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di gtu31*PDstandardNth2gt13) + J31L*(gtu21*PDstandardNth3gt12 + gtu31*PDstandardNth3gt13))); - CCTK_REAL Gt211 = khalf*((gtu21*J11L - gtu22*J12L - + CCTK_REAL_VEC Gt211 = khalf*((gtu21*J11L - gtu22*J12L - gtu32*J13L)*PDstandardNth1gt11 + (gtu21*J21L - gtu22*J22L - gtu32*J23L)*PDstandardNth2gt11 + (gtu21*J31L - gtu22*J32L - gtu32*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu22*PDstandardNth1gt12 + @@ -364,7 +371,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di gtu32*PDstandardNth2gt13) + J31L*(gtu22*PDstandardNth3gt12 + gtu32*PDstandardNth3gt13))); - CCTK_REAL Gt311 = khalf*((gtu31*J11L - gtu32*J12L - + CCTK_REAL_VEC Gt311 = khalf*((gtu31*J11L - gtu32*J12L - gtu33*J13L)*PDstandardNth1gt11 + (gtu31*J21L - gtu32*J22L - gtu33*J23L)*PDstandardNth2gt11 + (gtu31*J31L - gtu32*J32L - gtu33*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu32*PDstandardNth1gt12 + @@ -372,7 +379,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di gtu33*PDstandardNth2gt13) + J31L*(gtu32*PDstandardNth3gt12 + gtu33*PDstandardNth3gt13))); - CCTK_REAL Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + gtu21*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + gtu31*(-(J13L*PDstandardNth1gt12) + @@ -381,7 +388,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - CCTK_REAL Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + gtu22*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + gtu32*(-(J13L*PDstandardNth1gt12) + @@ -390,7 +397,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - CCTK_REAL Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + gtu32*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + J31L*PDstandardNth3gt22) + gtu33*(-(J13L*PDstandardNth1gt12) + @@ -399,7 +406,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - CCTK_REAL Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + gtu21*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - @@ -408,7 +415,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J31L*PDstandardNth3gt23) + gtu31*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - CCTK_REAL Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + gtu22*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - @@ -417,7 +424,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J31L*PDstandardNth3gt23) + gtu32*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - CCTK_REAL Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + gtu32*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - @@ -426,7 +433,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J31L*PDstandardNth3gt23) + gtu33*(J11L*PDstandardNth1gt33 + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - CCTK_REAL Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + gtu21*(J12L*PDstandardNth1gt22 + @@ -435,7 +442,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - CCTK_REAL Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + gtu22*(J12L*PDstandardNth1gt22 + @@ -444,7 +451,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - CCTK_REAL Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - J31L*PDstandardNth3gt22) + gtu32*(J12L*PDstandardNth1gt22 + @@ -453,7 +460,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - CCTK_REAL Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + + CCTK_REAL_VEC Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + gtu11*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + @@ -462,7 +469,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J31L*PDstandardNth3gt23) + gtu31*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - CCTK_REAL Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + + CCTK_REAL_VEC Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + gtu21*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + @@ -471,7 +478,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J31L*PDstandardNth3gt23) + gtu32*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - CCTK_REAL Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + + CCTK_REAL_VEC Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + gtu31*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + @@ -480,7 +487,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J31L*PDstandardNth3gt23) + gtu33*(J12L*PDstandardNth1gt33 + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - CCTK_REAL Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + + CCTK_REAL_VEC Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + gtu21*(-(J12L*PDstandardNth1gt33) + @@ -489,7 +496,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J32L*PDstandardNth3gt33) + gtu31*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - CCTK_REAL Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + + CCTK_REAL_VEC Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + gtu22*(-(J12L*PDstandardNth1gt33) + @@ -498,7 +505,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J32L*PDstandardNth3gt33) + gtu32*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - CCTK_REAL Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + + CCTK_REAL_VEC Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - J31L*PDstandardNth3gt33) + gtu32*(-(J12L*PDstandardNth1gt33) + @@ -507,19 +514,20 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J32L*PDstandardNth3gt33) + gtu33*(J13L*PDstandardNth1gt33 + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - CCTK_REAL Rt11 = (Gt113*(gt13L*Gt312 + 3*(gt12L*Gt212 + gt13L*Gt312)) - + gt12L*(Gt213*(4*Gt112 + 2*Gt222) + Gt212*(Gt113 + 2*Gt223) + - 2*(Gt233*Gt312 + Gt223*Gt313)) + gt11L*(6*Gt112*Gt113 + 2*(Gt122*Gt213 - + Gt133*Gt312 + Gt123*(Gt212 + Gt313))) + gt13L*(2*Gt213*Gt322 + - Gt313*(4*Gt112 + 2*Gt323)) + 2*(Gt213*(Gt212*gt22L + gt23L*Gt312) + - Gt212*(gt23L*Gt313 + gt13L*Gt323) + Gt312*(gt13L*Gt333 + - Gt313*gt33L)))*gtu32 + J11L*(gt11L*PDstandardNth1Xt1 + - gt12L*PDstandardNth1Xt2 + gt13L*PDstandardNth1Xt3) + - J21L*(gt11L*PDstandardNth2Xt1 + gt12L*PDstandardNth2Xt2 + - gt13L*PDstandardNth2Xt3) + J31L*(gt11L*PDstandardNth3Xt1 + - gt12L*PDstandardNth3Xt2 + gt13L*PDstandardNth3Xt3) + (Gt111*gt11L + - gt12L*Gt211 + gt13L*Gt311)*Xt1L + (Gt112*gt11L + gt12L*Gt212 + - gt13L*Gt312)*Xt2L + (Gt113*gt11L + gt12L*Gt213 + gt13L*Gt313)*Xt3L + + CCTK_REAL_VEC Rt11 = (Gt113*(gt13L*Gt312 + 3*(gt12L*Gt212 + + gt13L*Gt312)) + gt12L*(Gt213*(4*Gt112 + 2*Gt222) + Gt212*(Gt113 + + 2*Gt223) + 2*(Gt233*Gt312 + Gt223*Gt313)) + gt11L*(6*Gt112*Gt113 + + 2*(Gt122*Gt213 + Gt133*Gt312 + Gt123*(Gt212 + Gt313))) + + gt13L*(2*Gt213*Gt322 + Gt313*(4*Gt112 + 2*Gt323)) + + 2*(Gt213*(Gt212*gt22L + gt23L*Gt312) + Gt212*(gt23L*Gt313 + + gt13L*Gt323) + Gt312*(gt13L*Gt333 + Gt313*gt33L)))*gtu32 + + J11L*(gt11L*PDstandardNth1Xt1 + gt12L*PDstandardNth1Xt2 + + gt13L*PDstandardNth1Xt3) + J21L*(gt11L*PDstandardNth2Xt1 + + gt12L*PDstandardNth2Xt2 + gt13L*PDstandardNth2Xt3) + + J31L*(gt11L*PDstandardNth3Xt1 + gt12L*PDstandardNth3Xt2 + + gt13L*PDstandardNth3Xt3) + (Gt111*gt11L + gt12L*Gt211 + + gt13L*Gt311)*Xt1L + (Gt112*gt11L + gt12L*Gt212 + gt13L*Gt312)*Xt2L + + (Gt113*gt11L + gt12L*Gt213 + gt13L*Gt313)*Xt3L + gtu21*(Gt112*(gt13L*Gt311 + 3*(gt12L*Gt211 + gt13L*Gt311)) + gt11L*(Gt112*(6*Gt111 + 2*Gt212) + 2*(Gt122*Gt211 + Gt123*Gt311 + Gt113*Gt312)) + 2*(Gt212*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312) + @@ -577,8 +585,9 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di dJ333L*PDstandardNth3gt11 + PDstandardNth11gt11*SQR(J13L) + PDstandardNth22gt11*SQR(J23L) + PDstandardNth33gt11*SQR(J33L))); - CCTK_REAL Rt12 = khalf*((gt12L*J11L + gt11L*J12L)*PDstandardNth1Xt1 + - (gt22L*J11L + gt12L*J12L)*PDstandardNth1Xt2 + (gt23L*J11L + + CCTK_REAL_VEC Rt12 = khalf*((gt12L*J11L + + gt11L*J12L)*PDstandardNth1Xt1 + (gt22L*J11L + + gt12L*J12L)*PDstandardNth1Xt2 + (gt23L*J11L + gt13L*J12L)*PDstandardNth1Xt3 + (gt12L*J21L + gt11L*J22L)*PDstandardNth2Xt1 + (gt22L*J21L + gt12L*J22L)*PDstandardNth2Xt2 + (gt23L*J21L + @@ -685,8 +694,9 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di dJ333L*PDstandardNth3gt12 + PDstandardNth11gt12*SQR(J13L) + PDstandardNth22gt12*SQR(J23L) + PDstandardNth33gt12*SQR(J33L))); - CCTK_REAL Rt13 = khalf*((gt13L*J11L + gt11L*J13L)*PDstandardNth1Xt1 + - (gt23L*J11L + gt12L*J13L)*PDstandardNth1Xt2 + (gt33L*J11L + + CCTK_REAL_VEC Rt13 = khalf*((gt13L*J11L + + gt11L*J13L)*PDstandardNth1Xt1 + (gt23L*J11L + + gt12L*J13L)*PDstandardNth1Xt2 + (gt33L*J11L + gt13L*J13L)*PDstandardNth1Xt3 + (gt13L*J21L + gt11L*J23L)*PDstandardNth2Xt1 + (gt23L*J21L + gt12L*J23L)*PDstandardNth2Xt2 + (gt33L*J21L + @@ -795,7 +805,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di dJ333L*PDstandardNth3gt13 + PDstandardNth11gt13*SQR(J13L) + PDstandardNth22gt13*SQR(J23L) + PDstandardNth33gt13*SQR(J33L))); - CCTK_REAL Rt22 = (Gt223*(3*Gt112*gt12L + 6*Gt212*gt22L + + CCTK_REAL_VEC Rt22 = (Gt223*(3*Gt112*gt12L + 6*Gt212*gt22L + 4*gt23L*Gt312) + Gt123*(Gt112*gt11L + gt12L*(2*Gt111 + 4*Gt212) + 2*(Gt211*gt22L + gt23L*Gt311 + gt13L*Gt312)) + Gt112*(gt11L*Gt123 + gt12L*(2*Gt113 + Gt223) + 2*(Gt213*gt22L + gt23L*Gt313) + gt13L*Gt323) @@ -864,8 +874,9 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di dJ333L*PDstandardNth3gt22 + PDstandardNth11gt22*SQR(J13L) + PDstandardNth22gt22*SQR(J23L) + PDstandardNth33gt22*SQR(J33L))); - CCTK_REAL Rt23 = khalf*((gt13L*J12L + gt12L*J13L)*PDstandardNth1Xt1 + - (gt23L*J12L + gt22L*J13L)*PDstandardNth1Xt2 + (gt33L*J12L + + CCTK_REAL_VEC Rt23 = khalf*((gt13L*J12L + + gt12L*J13L)*PDstandardNth1Xt1 + (gt23L*J12L + + gt22L*J13L)*PDstandardNth1Xt2 + (gt33L*J12L + gt23L*J13L)*PDstandardNth1Xt3 + (gt13L*J22L + gt12L*J23L)*PDstandardNth2Xt1 + (gt23L*J22L + gt22L*J23L)*PDstandardNth2Xt2 + (gt33L*J22L + @@ -977,19 +988,19 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di dJ333L*PDstandardNth3gt23 + PDstandardNth11gt23*SQR(J13L) + PDstandardNth22gt23*SQR(J23L) + PDstandardNth33gt23*SQR(J33L))); - CCTK_REAL Rt33 = (4*((Gt123*gt13L + Gt223*gt23L)*Gt313 + (Gt113*gt13L - + Gt213*gt23L)*Gt323) + (2*Gt213*Gt322 + 6*Gt313*Gt323)*gt33L + - 2*(gt13L*(Gt122*Gt213 + Gt112*Gt223) + Gt213*(Gt223*gt22L + - Gt222*gt23L) + Gt123*(Gt111*gt13L + gt12L*Gt213 + Gt211*gt23L + - Gt311*gt33L) + Gt223*(Gt212*gt23L + Gt312*gt33L) + Gt113*(gt11L*Gt123 + - Gt112*gt13L + gt12L*Gt223 + Gt212*gt23L + Gt312*gt33L)))*gtu21 + - J13L*(gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + - gt33L*PDstandardNth1Xt3) + J23L*(gt13L*PDstandardNth2Xt1 + - gt23L*PDstandardNth2Xt2 + gt33L*PDstandardNth2Xt3) + - J33L*(gt13L*PDstandardNth3Xt1 + gt23L*PDstandardNth3Xt2 + - gt33L*PDstandardNth3Xt3) + (Gt113*gt13L + Gt213*gt23L + - Gt313*gt33L)*Xt1L + (Gt123*gt13L + Gt223*gt23L + Gt323*gt33L)*Xt2L + - (Gt133*gt13L + Gt233*gt23L + Gt333*gt33L)*Xt3L + + CCTK_REAL_VEC Rt33 = (4*((Gt123*gt13L + Gt223*gt23L)*Gt313 + + (Gt113*gt13L + Gt213*gt23L)*Gt323) + (2*Gt213*Gt322 + + 6*Gt313*Gt323)*gt33L + 2*(gt13L*(Gt122*Gt213 + Gt112*Gt223) + + Gt213*(Gt223*gt22L + Gt222*gt23L) + Gt123*(Gt111*gt13L + gt12L*Gt213 + + Gt211*gt23L + Gt311*gt33L) + Gt223*(Gt212*gt23L + Gt312*gt33L) + + Gt113*(gt11L*Gt123 + Gt112*gt13L + gt12L*Gt223 + Gt212*gt23L + + Gt312*gt33L)))*gtu21 + J13L*(gt13L*PDstandardNth1Xt1 + + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3) + + J23L*(gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + + gt33L*PDstandardNth2Xt3) + J33L*(gt13L*PDstandardNth3Xt1 + + gt23L*PDstandardNth3Xt2 + gt33L*PDstandardNth3Xt3) + (Gt113*gt13L + + Gt213*gt23L + Gt313*gt33L)*Xt1L + (Gt123*gt13L + Gt223*gt23L + + Gt323*gt33L)*Xt2L + (Gt133*gt13L + Gt233*gt23L + Gt333*gt33L)*Xt3L + gtu31*(Gt133*(Gt113*gt11L + 2*(Gt111*gt13L + gt12L*Gt213 + Gt211*gt23L) + 4*gt13L*Gt313) + Gt333*(3*Gt113*gt13L + 4*Gt213*gt23L + 6*Gt313*gt33L) + Gt233*(Gt113*gt12L + 4*gt23L*Gt313 + 2*(Gt213*gt22L + @@ -1046,20 +1057,20 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di dJ333L*PDstandardNth3gt33 + PDstandardNth11gt33*SQR(J13L) + PDstandardNth22gt33*SQR(J23L) + PDstandardNth33gt33*SQR(J33L))); - CCTK_REAL fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + CCTK_REAL_VEC fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - CCTK_REAL cdphi1 = fac1*(J11L*PDstandardNth1phi + + CCTK_REAL_VEC cdphi1 = fac1*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - CCTK_REAL cdphi2 = fac1*(J12L*PDstandardNth1phi + + CCTK_REAL_VEC cdphi2 = fac1*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - CCTK_REAL cdphi3 = fac1*(J13L*PDstandardNth1phi + + CCTK_REAL_VEC cdphi3 = fac1*(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - CCTK_REAL fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + CCTK_REAL_VEC fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); - CCTK_REAL cdphi211 = fac1*((dJ111L - Gt111*J11L - Gt211*J12L - + CCTK_REAL_VEC cdphi211 = fac1*((dJ111L - Gt111*J11L - Gt211*J12L - Gt311*J13L)*PDstandardNth1phi + 2*(J11L*(J21L*PDstandardNth12phi + J31L*PDstandardNth13phi) + J21L*J31L*PDstandardNth23phi) + (dJ211L - Gt111*J21L - Gt211*J22L - Gt311*J23L)*PDstandardNth2phi + (dJ311L - @@ -1068,7 +1079,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di PDstandardNth33phi*SQR(J31L)) + fac2*SQR(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi); - CCTK_REAL cdphi212 = fac2*(J11L*PDstandardNth1phi + + CCTK_REAL_VEC cdphi212 = fac2*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi) + @@ -1081,7 +1092,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J31L*PDstandardNth33phi) + (dJ312L - Gt112*J31L - Gt212*J32L - Gt312*J33L)*PDstandardNth3phi); - CCTK_REAL cdphi213 = fac2*(J11L*PDstandardNth1phi + + CCTK_REAL_VEC cdphi213 = fac2*(J11L*PDstandardNth1phi + J21L*PDstandardNth2phi + J31L*PDstandardNth3phi)*(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + @@ -1094,7 +1105,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J31L*PDstandardNth33phi) + (dJ313L - Gt113*J31L - Gt213*J32L - Gt313*J33L)*PDstandardNth3phi); - CCTK_REAL cdphi222 = fac1*((dJ122L - Gt122*J11L - Gt222*J12L - + CCTK_REAL_VEC cdphi222 = fac1*((dJ122L - Gt122*J11L - Gt222*J12L - Gt322*J13L)*PDstandardNth1phi + 2*(J12L*(J22L*PDstandardNth12phi + J32L*PDstandardNth13phi) + J22L*J32L*PDstandardNth23phi) + (dJ222L - Gt122*J21L - Gt222*J22L - Gt322*J23L)*PDstandardNth2phi + (dJ322L - @@ -1103,7 +1114,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di PDstandardNth33phi*SQR(J32L)) + fac2*SQR(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi); - CCTK_REAL cdphi223 = fac2*(J12L*PDstandardNth1phi + + CCTK_REAL_VEC cdphi223 = fac2*(J12L*PDstandardNth1phi + J22L*PDstandardNth2phi + J32L*PDstandardNth3phi)*(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi) + @@ -1116,7 +1127,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J32L*PDstandardNth33phi) + (dJ323L - Gt123*J31L - Gt223*J32L - Gt323*J33L)*PDstandardNth3phi); - CCTK_REAL cdphi233 = fac1*((dJ133L - Gt133*J11L - Gt233*J12L - + CCTK_REAL_VEC cdphi233 = fac1*((dJ133L - Gt133*J11L - Gt233*J12L - Gt333*J13L)*PDstandardNth1phi + 2*(J13L*(J23L*PDstandardNth12phi + J33L*PDstandardNth13phi) + J23L*J33L*PDstandardNth23phi) + (dJ233L - Gt133*J21L - Gt233*J22L - Gt333*J23L)*PDstandardNth2phi + (dJ333L - @@ -1125,111 +1136,112 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di PDstandardNth33phi*SQR(J33L)) + fac2*SQR(J13L*PDstandardNth1phi + J23L*PDstandardNth2phi + J33L*PDstandardNth3phi); - CCTK_REAL Rphi11 = -2*(cdphi211 + 2*(-1 + gt11L*gtu11)*SQR(cdphi1) + - gt11L*(cdphi211*gtu11 + 4*(cdphi1*(cdphi2*gtu21 + cdphi3*gtu31) + + CCTK_REAL_VEC 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_VEC 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 + + CCTK_REAL_VEC 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)) + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - CCTK_REAL em4phi = INV(e4phi); + CCTK_REAL_VEC em4phi = INV(e4phi); - CCTK_REAL gu11 = em4phi*gtu11; + CCTK_REAL_VEC gu11 = em4phi*gtu11; - CCTK_REAL gu21 = em4phi*gtu21; + CCTK_REAL_VEC gu21 = em4phi*gtu21; - CCTK_REAL gu31 = em4phi*gtu31; + CCTK_REAL_VEC gu31 = em4phi*gtu31; - CCTK_REAL gu22 = em4phi*gtu22; + CCTK_REAL_VEC gu22 = em4phi*gtu22; - CCTK_REAL gu32 = em4phi*gtu32; + CCTK_REAL_VEC gu32 = em4phi*gtu32; - CCTK_REAL gu33 = em4phi*gtu33; + CCTK_REAL_VEC gu33 = em4phi*gtu33; - CCTK_REAL R11 = Rphi11 + Rt11; + CCTK_REAL_VEC R11 = Rphi11 + Rt11; - CCTK_REAL R12 = Rphi12 + Rt12; + CCTK_REAL_VEC R12 = Rphi12 + Rt12; - CCTK_REAL R13 = Rphi13 + Rt13; + CCTK_REAL_VEC R13 = Rphi13 + Rt13; - CCTK_REAL R22 = Rphi22 + Rt22; + CCTK_REAL_VEC R22 = Rphi22 + Rt22; - CCTK_REAL R23 = Rphi23 + Rt23; + CCTK_REAL_VEC R23 = Rphi23 + Rt23; - CCTK_REAL R33 = Rphi33 + Rt33; + CCTK_REAL_VEC R33 = Rphi33 + Rt33; - CCTK_REAL trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + + CCTK_REAL_VEC trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; - CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + CCTK_REAL_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - CCTK_REAL rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + + CCTK_REAL_VEC 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 S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + + CCTK_REAL_VEC S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + beta3L*eTxzL)*INV(alphaL); - CCTK_REAL S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + + CCTK_REAL_VEC S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + beta3L*eTyzL)*INV(alphaL); - CCTK_REAL S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + + CCTK_REAL_VEC S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + beta3L*eTzzL)*INV(alphaL); - CCTK_REAL HL = -2.*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) - + CCTK_REAL_VEC 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 M1L = -(At12L*Gt112*gtu22) - At22L*Gt212*gtu22 - + CCTK_REAL_VEC M1L = -(At12L*Gt112*gtu22) - At22L*Gt212*gtu22 - At12L*Gt222*gtu22 - At23L*Gt312*gtu22 - At13L*Gt322*gtu22 + At12L*(6*cdphi1*gtu21 - Gt111*gtu21 + 6*cdphi2*gtu22) + At11L*(6*cdphi1*gtu11 - 2*Gt111*gtu11 + 6*cdphi2*gtu21 - Gt122*gtu22) + @@ -1260,7 +1272,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J31L*ktwothird*PDstandardNth3trK - 25.13274122871834590770114706623602307358*S1; - CCTK_REAL M2L = -(At11L*Gt112*gtu11) - At22L*Gt211*gtu11 - + CCTK_REAL_VEC M2L = -(At11L*Gt112*gtu11) - At22L*Gt211*gtu11 - At12L*Gt212*gtu11 - At23L*Gt311*gtu11 - At13L*Gt312*gtu11 + At12L*(6*cdphi1*gtu11 - Gt111*gtu11) + 6*At22L*cdphi1*gtu21 + 6*At12L*cdphi2*gtu21 - 3*At12L*Gt112*gtu21 - At11L*Gt122*gtu21 - @@ -1292,7 +1304,7 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J32L*ktwothird*PDstandardNth3trK - 25.13274122871834590770114706623602307358*S2; - CCTK_REAL M3L = -(At11L*Gt113*gtu11) - At23L*Gt211*gtu11 - + CCTK_REAL_VEC M3L = -(At11L*Gt113*gtu11) - At23L*Gt211*gtu11 - At12L*Gt213*gtu11 - At33L*Gt311*gtu11 - At13L*Gt313*gtu11 + At13L*(6*cdphi1*gtu11 - Gt111*gtu11) + 6*At23L*cdphi1*gtu21 + 6*At13L*cdphi2*gtu21 - 2*At13L*Gt112*gtu21 - At12L*Gt113*gtu21 - @@ -1324,36 +1336,37 @@ void ML_BSSN_MP_constraints_Body(cGH const * restrict const cctkGH, int const di J33L*ktwothird*PDstandardNth3trK - 25.13274122871834590770114706623602307358*S3; - CCTK_REAL cSL = Log(detgt); + CCTK_REAL_VEC cSL = Log(detgt); - CCTK_REAL cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; /* 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; + vec_store_nta(cA[index],cAL); + vec_store_nta(cS[index],cSL); + vec_store_nta(cXt1[index],cXt1L); + vec_store_nta(cXt2[index],cXt2L); + vec_store_nta(cXt3[index],cXt3L); + vec_store_nta(H[index],HL); + vec_store_nta(M1[index],M1L); + vec_store_nta(M2[index],M2L); + vec_store_nta(M3[index],M3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_MP_constraints); } -void ML_BSSN_MP_constraints(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_MP_constraints(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_constraints_boundary.c b/ML_BSSN_MP/src/ML_BSSN_MP_constraints_boundary.cc index 22e875f..b1e1671 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_constraints_boundary.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_constraints_boundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_constraints_boundary_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[]) +static void ML_BSSN_MP_constraints_boundary_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; @@ -66,6 +67,12 @@ void ML_BSSN_MP_constraints_boundary_Body(cGH const * restrict const cctkGH, int 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -90,40 +97,41 @@ void ML_BSSN_MP_constraints_boundary_Body(cGH const * restrict const cctkGH, int /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL HL = 0; + CCTK_REAL_VEC HL = 0; - CCTK_REAL M1L = 0; + CCTK_REAL_VEC M1L = 0; - CCTK_REAL M2L = 0; + CCTK_REAL_VEC M2L = 0; - CCTK_REAL M3L = 0; + CCTK_REAL_VEC M3L = 0; - CCTK_REAL cSL = 0; + CCTK_REAL_VEC cSL = 0; - CCTK_REAL cXt1L = 0; + CCTK_REAL_VEC cXt1L = 0; - CCTK_REAL cXt2L = 0; + CCTK_REAL_VEC cXt2L = 0; - CCTK_REAL cXt3L = 0; + CCTK_REAL_VEC cXt3L = 0; - CCTK_REAL cAL = 0; + CCTK_REAL_VEC 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; + vec_store_nta(cA[index],cAL); + vec_store_nta(cS[index],cSL); + vec_store_nta(cXt1[index],cXt1L); + vec_store_nta(cXt2[index],cXt2L); + vec_store_nta(cXt3[index],cXt3L); + vec_store_nta(H[index],HL); + vec_store_nta(M1[index],M1L); + vec_store_nta(M2[index],M2L); + vec_store_nta(M3[index],M3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_MP_constraints_boundary); } -void ML_BSSN_MP_constraints_boundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_MP_constraints_boundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.c b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.c deleted file mode 100644 index a89c229..0000000 --- a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.c +++ /dev/null @@ -1,208 +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_MP_convertFromADMBase_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_convertFromADMBase_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_convertFromADMBase_calc_every != ML_BSSN_MP_convertFromADMBase_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_MP_convertFromADMBase, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of 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 */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL g11 = gxxL; - - CCTK_REAL g12 = gxyL; - - CCTK_REAL g13 = gxzL; - - CCTK_REAL g22 = gyyL; - - CCTK_REAL g23 = gyzL; - - CCTK_REAL g33 = gzzL; - - CCTK_REAL detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - - g22*SQR(g13) - g11*SQR(g23); - - CCTK_REAL gu11 = INV(detg)*(g22*g33 - SQR(g23)); - - CCTK_REAL gu21 = (g13*g23 - g12*g33)*INV(detg); - - CCTK_REAL gu31 = (-(g13*g22) + g12*g23)*INV(detg); - - CCTK_REAL gu22 = INV(detg)*(g11*g33 - SQR(g13)); - - CCTK_REAL gu32 = (g12*g13 - g11*g23)*INV(detg); - - CCTK_REAL gu33 = INV(detg)*(g11*g22 - SQR(g12)); - - phiL = - IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); - - CCTK_REAL em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - - CCTK_REAL gt11L = em4phi*g11; - - CCTK_REAL gt12L = em4phi*g12; - - CCTK_REAL gt13L = em4phi*g13; - - CCTK_REAL gt22L = em4phi*g22; - - CCTK_REAL gt23L = em4phi*g23; - - CCTK_REAL gt33L = em4phi*g33; - - trKL = gu11*kxxL + gu22*kyyL + 2*(gu21*kxyL + gu31*kxzL + gu32*kyzL) + - gu33*kzzL; - - CCTK_REAL At11L = em4phi*(kxxL - g11*kthird*trKL); - - CCTK_REAL At12L = em4phi*(kxyL - g12*kthird*trKL); - - CCTK_REAL At13L = em4phi*(kxzL - g13*kthird*trKL); - - CCTK_REAL At22L = em4phi*(kyyL - g22*kthird*trKL); - - CCTK_REAL At23L = em4phi*(kyzL - g23*kthird*trKL); - - CCTK_REAL At33L = em4phi*(kzzL - g33*kthird*trKL); - - CCTK_REAL alphaL = alpL; - - CCTK_REAL beta1L = betaxL; - - CCTK_REAL beta2L = betayL; - - CCTK_REAL beta3L = betazL; - - - /* 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; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - } - LC_ENDLOOP3 (ML_BSSN_MP_convertFromADMBase); -} - -void ML_BSSN_MP_convertFromADMBase(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_MP_convertFromADMBase_Body); -} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.cc b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.cc new file mode 100644 index 0000000..4597c60 --- /dev/null +++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBase.cc @@ -0,0 +1,216 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_MP_convertFromADMBase_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_convertFromADMBase_Body"); + } + + if (cctk_iteration % ML_BSSN_MP_convertFromADMBase_calc_every != ML_BSSN_MP_convertFromADMBase_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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; + 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_MP_convertFromADMBase, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC alpL = vec_load(alp[index]); + CCTK_REAL_VEC betaxL = vec_load(betax[index]); + CCTK_REAL_VEC betayL = vec_load(betay[index]); + CCTK_REAL_VEC betazL = vec_load(betaz[index]); + CCTK_REAL_VEC gxxL = vec_load(gxx[index]); + CCTK_REAL_VEC gxyL = vec_load(gxy[index]); + CCTK_REAL_VEC gxzL = vec_load(gxz[index]); + CCTK_REAL_VEC gyyL = vec_load(gyy[index]); + CCTK_REAL_VEC gyzL = vec_load(gyz[index]); + CCTK_REAL_VEC gzzL = vec_load(gzz[index]); + CCTK_REAL_VEC kxxL = vec_load(kxx[index]); + CCTK_REAL_VEC kxyL = vec_load(kxy[index]); + CCTK_REAL_VEC kxzL = vec_load(kxz[index]); + CCTK_REAL_VEC kyyL = vec_load(kyy[index]); + CCTK_REAL_VEC kyzL = vec_load(kyz[index]); + CCTK_REAL_VEC kzzL = vec_load(kzz[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL_VEC g11 = gxxL; + + CCTK_REAL_VEC g12 = gxyL; + + CCTK_REAL_VEC g13 = gxzL; + + CCTK_REAL_VEC g22 = gyyL; + + CCTK_REAL_VEC g23 = gyzL; + + CCTK_REAL_VEC g33 = gzzL; + + CCTK_REAL_VEC detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - + g22*SQR(g13) - g11*SQR(g23); + + CCTK_REAL_VEC gu11 = INV(detg)*(g22*g33 - SQR(g23)); + + CCTK_REAL_VEC gu21 = (g13*g23 - g12*g33)*INV(detg); + + CCTK_REAL_VEC gu31 = (-(g13*g22) + g12*g23)*INV(detg); + + CCTK_REAL_VEC gu22 = INV(detg)*(g11*g33 - SQR(g13)); + + CCTK_REAL_VEC gu32 = (g12*g13 - g11*g23)*INV(detg); + + CCTK_REAL_VEC gu33 = INV(detg)*(g11*g22 - SQR(g12)); + + phiL = + IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); + + CCTK_REAL_VEC em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + + CCTK_REAL_VEC gt11L = em4phi*g11; + + CCTK_REAL_VEC gt12L = em4phi*g12; + + CCTK_REAL_VEC gt13L = em4phi*g13; + + CCTK_REAL_VEC gt22L = em4phi*g22; + + CCTK_REAL_VEC gt23L = em4phi*g23; + + CCTK_REAL_VEC gt33L = em4phi*g33; + + trKL = gu11*kxxL + gu22*kyyL + 2*(gu21*kxyL + gu31*kxzL + gu32*kyzL) + + gu33*kzzL; + + CCTK_REAL_VEC At11L = em4phi*(kxxL - g11*kthird*trKL); + + CCTK_REAL_VEC At12L = em4phi*(kxyL - g12*kthird*trKL); + + CCTK_REAL_VEC At13L = em4phi*(kxzL - g13*kthird*trKL); + + CCTK_REAL_VEC At22L = em4phi*(kyyL - g22*kthird*trKL); + + CCTK_REAL_VEC At23L = em4phi*(kyzL - g23*kthird*trKL); + + CCTK_REAL_VEC At33L = em4phi*(kzzL - g33*kthird*trKL); + + CCTK_REAL_VEC alphaL = alpL; + + CCTK_REAL_VEC beta1L = betaxL; + + CCTK_REAL_VEC beta2L = betayL; + + CCTK_REAL_VEC beta3L = betazL; + + + /* Copy local copies back to grid functions */ + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + vec_store_nta(beta1[index],beta1L); + vec_store_nta(beta2[index],beta2L); + vec_store_nta(beta3[index],beta3L); + vec_store_nta(gt11[index],gt11L); + vec_store_nta(gt12[index],gt12L); + vec_store_nta(gt13[index],gt13L); + vec_store_nta(gt22[index],gt22L); + vec_store_nta(gt23[index],gt23L); + vec_store_nta(gt33[index],gt33L); + vec_store_nta(phi[index],phiL); + vec_store_nta(trK[index],trKL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_MP_convertFromADMBase); +} + +extern "C" void ML_BSSN_MP_convertFromADMBase(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_MP_convertFromADMBase_Body); +} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.c b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.c deleted file mode 100644 index 242cc96..0000000 --- a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.c +++ /dev/null @@ -1,453 +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_MP_convertFromADMBaseGamma_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_convertFromADMBaseGamma_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_convertFromADMBaseGamma_calc_every != ML_BSSN_MP_convertFromADMBaseGamma_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_MP_convertFromADMBaseGamma, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - - /* Assign local copies of 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]; - CCTK_REAL J11L = J11[index]; - CCTK_REAL J12L = J12[index]; - CCTK_REAL J13L = J13[index]; - CCTK_REAL J21L = J21[index]; - CCTK_REAL J22L = J22[index]; - CCTK_REAL J23L = J23[index]; - CCTK_REAL J31L = J31[index]; - CCTK_REAL J32L = J32[index]; - CCTK_REAL J33L = J33[index]; - CCTK_REAL rL = r[index]; - - /* Include user supplied include files */ - - /* 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); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - 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*J11L - gtu21*J12L - - gtu31*J13L)*PDstandardNth1gt11 + (gtu11*J21L - gtu21*J22L - - gtu31*J23L)*PDstandardNth2gt11 + (gtu11*J31L - gtu21*J32L - - gtu31*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu21*PDstandardNth1gt12 + - gtu31*PDstandardNth1gt13) + J21L*(gtu21*PDstandardNth2gt12 + - gtu31*PDstandardNth2gt13) + J31L*(gtu21*PDstandardNth3gt12 + - gtu31*PDstandardNth3gt13))); - - CCTK_REAL Gt211 = khalf*((gtu21*J11L - gtu22*J12L - - gtu32*J13L)*PDstandardNth1gt11 + (gtu21*J21L - gtu22*J22L - - gtu32*J23L)*PDstandardNth2gt11 + (gtu21*J31L - gtu22*J32L - - gtu32*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu22*PDstandardNth1gt12 + - gtu32*PDstandardNth1gt13) + J21L*(gtu22*PDstandardNth2gt12 + - gtu32*PDstandardNth2gt13) + J31L*(gtu22*PDstandardNth3gt12 + - gtu32*PDstandardNth3gt13))); - - CCTK_REAL Gt311 = khalf*((gtu31*J11L - gtu32*J12L - - gtu33*J13L)*PDstandardNth1gt11 + (gtu31*J21L - gtu32*J22L - - gtu33*J23L)*PDstandardNth2gt11 + (gtu31*J31L - gtu32*J32L - - gtu33*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu32*PDstandardNth1gt12 + - gtu33*PDstandardNth1gt13) + J21L*(gtu32*PDstandardNth2gt12 + - gtu33*PDstandardNth2gt13) + J31L*(gtu32*PDstandardNth3gt12 + - gtu33*PDstandardNth3gt13))); - - CCTK_REAL Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + - gtu21*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + - J31L*PDstandardNth3gt22) + gtu31*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - - CCTK_REAL Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + - gtu22*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + - J31L*PDstandardNth3gt22) + gtu32*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - - CCTK_REAL Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + - J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + - gtu32*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + - J31L*PDstandardNth3gt22) + gtu33*(-(J13L*PDstandardNth1gt12) + - J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - - J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + - J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + - J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); - - CCTK_REAL Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + - gtu21*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + - J31L*PDstandardNth3gt23) + gtu31*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - - CCTK_REAL Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + - gtu22*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + - J31L*PDstandardNth3gt23) + gtu32*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - - CCTK_REAL Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + - J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + - gtu32*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - - J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + - J31L*PDstandardNth3gt23) + gtu33*(J11L*PDstandardNth1gt33 + - J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); - - CCTK_REAL Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + - 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - - J31L*PDstandardNth3gt22) + gtu21*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - - gtu31*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + - J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + - J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - - CCTK_REAL Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + - 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - - J31L*PDstandardNth3gt22) + gtu22*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - - gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + - J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + - J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - - CCTK_REAL Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + - 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - - J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - - J31L*PDstandardNth3gt22) + gtu32*(J12L*PDstandardNth1gt22 + - J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - - gtu33*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + - J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + - J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); - - CCTK_REAL Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + - gtu11*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + - J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt23) + gtu31*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - - CCTK_REAL Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + - gtu21*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + - J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt23) + gtu32*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - - CCTK_REAL Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + - J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + - gtu31*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - - J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + - J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + - J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt23) + gtu33*(J12L*PDstandardNth1gt33 + - J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); - - CCTK_REAL Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt33) + gtu21*(-(J12L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - - J32L*PDstandardNth3gt33) + gtu31*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - - CCTK_REAL Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt33) + gtu22*(-(J12L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - - J32L*PDstandardNth3gt33) + gtu32*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - - CCTK_REAL Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - - J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - - J31L*PDstandardNth3gt33) + gtu32*(-(J12L*PDstandardNth1gt33) + - 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - - J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - - J32L*PDstandardNth3gt33) + gtu33*(J13L*PDstandardNth1gt33 + - J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); - - CCTK_REAL Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + - Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - - CCTK_REAL Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + - Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - - CCTK_REAL Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + - Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - - CCTK_REAL AL = -(dtalpL*(-1 + - LapseAdvectionCoeff)*INV(harmonicF)*pow(alphaL,-harmonicN)); - - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); - - CCTK_REAL B1L = IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - - PDupwindNth1(betax, i, j, - k)*beta1L*J11L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth1(betax, i, - j, - k)*beta2L*J12L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth1(betax, i, - j, - k)*beta3L*J13L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth2(betax, i, - j, - k)*beta1L*J21L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth2(betax, i, - j, - k)*beta2L*J22L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth2(betax, i, - j, - k)*beta3L*J23L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth3(betax, i, - j, - k)*beta1L*J31L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth3(betax, i, - j, - k)*beta2L*J32L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth3(betax, i, - j, - k)*beta3L*J33L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0); - - CCTK_REAL B2L = IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - - PDupwindNth1(betay, i, j, - k)*beta1L*J11L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth1(betay, i, - j, - k)*beta2L*J12L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth1(betay, i, - j, - k)*beta3L*J13L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth2(betay, i, - j, - k)*beta1L*J21L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth2(betay, i, - j, - k)*beta2L*J22L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth2(betay, i, - j, - k)*beta3L*J23L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth3(betay, i, - j, - k)*beta1L*J31L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth3(betay, i, - j, - k)*beta2L*J32L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth3(betay, i, - j, - k)*beta3L*J33L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0); - - CCTK_REAL B3L = IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - - PDupwindNth1(betaz, i, j, - k)*beta1L*J11L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth1(betaz, i, - j, - k)*beta2L*J12L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth1(betaz, i, - j, - k)*beta3L*J13L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth2(betaz, i, - j, - k)*beta1L*J21L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth2(betaz, i, - j, - k)*beta2L*J22L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth2(betaz, i, - j, - k)*beta3L*J23L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth3(betaz, i, - j, - k)*beta1L*J31L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth3(betaz, i, - j, - k)*beta2L*J32L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth3(betaz, i, - j, - k)*beta3L*J33L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0); - - - /* Copy local copies back to grid functions */ - A[index] = AL; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; - } - LC_ENDLOOP3 (ML_BSSN_MP_convertFromADMBaseGamma); -} - -void ML_BSSN_MP_convertFromADMBaseGamma(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_convertFromADMBaseGamma_Body); -} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.cc b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.cc new file mode 100644 index 0000000..2da6162 --- /dev/null +++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertFromADMBaseGamma.cc @@ -0,0 +1,747 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_MP_convertFromADMBaseGamma_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_convertFromADMBaseGamma_Body"); + } + + if (cctk_iteration % ML_BSSN_MP_convertFromADMBaseGamma_calc_every != ML_BSSN_MP_convertFromADMBaseGamma_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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; + 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_MP_convertFromADMBaseGamma, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDupwindNthAnti1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC dtalpL = vec_load(dtalp[index]); + CCTK_REAL_VEC dtbetaxL = vec_load(dtbetax[index]); + CCTK_REAL_VEC dtbetayL = vec_load(dtbetay[index]); + CCTK_REAL_VEC dtbetazL = vec_load(dtbetaz[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC J11L = vec_load(J11[index]); + CCTK_REAL_VEC J12L = vec_load(J12[index]); + CCTK_REAL_VEC J13L = vec_load(J13[index]); + CCTK_REAL_VEC J21L = vec_load(J21[index]); + CCTK_REAL_VEC J22L = vec_load(J22[index]); + CCTK_REAL_VEC J23L = vec_load(J23[index]); + CCTK_REAL_VEC J31L = vec_load(J31[index]); + CCTK_REAL_VEC J32L = vec_load(J32[index]); + CCTK_REAL_VEC J33L = vec_load(J33[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC Gt111 = khalf*((gtu11*J11L - gtu21*J12L - + gtu31*J13L)*PDstandardNth1gt11 + (gtu11*J21L - gtu21*J22L - + gtu31*J23L)*PDstandardNth2gt11 + (gtu11*J31L - gtu21*J32L - + gtu31*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu21*PDstandardNth1gt12 + + gtu31*PDstandardNth1gt13) + J21L*(gtu21*PDstandardNth2gt12 + + gtu31*PDstandardNth2gt13) + J31L*(gtu21*PDstandardNth3gt12 + + gtu31*PDstandardNth3gt13))); + + CCTK_REAL_VEC Gt211 = khalf*((gtu21*J11L - gtu22*J12L - + gtu32*J13L)*PDstandardNth1gt11 + (gtu21*J21L - gtu22*J22L - + gtu32*J23L)*PDstandardNth2gt11 + (gtu21*J31L - gtu22*J32L - + gtu32*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu22*PDstandardNth1gt12 + + gtu32*PDstandardNth1gt13) + J21L*(gtu22*PDstandardNth2gt12 + + gtu32*PDstandardNth2gt13) + J31L*(gtu22*PDstandardNth3gt12 + + gtu32*PDstandardNth3gt13))); + + CCTK_REAL_VEC Gt311 = khalf*((gtu31*J11L - gtu32*J12L - + gtu33*J13L)*PDstandardNth1gt11 + (gtu31*J21L - gtu32*J22L - + gtu33*J23L)*PDstandardNth2gt11 + (gtu31*J31L - gtu32*J32L - + gtu33*J33L)*PDstandardNth3gt11 + 2*(J11L*(gtu32*PDstandardNth1gt12 + + gtu33*PDstandardNth1gt13) + J21L*(gtu32*PDstandardNth2gt12 + + gtu33*PDstandardNth2gt13) + J31L*(gtu32*PDstandardNth3gt12 + + gtu33*PDstandardNth3gt13))); + + CCTK_REAL_VEC Gt112 = khalf*(gtu11*(J12L*PDstandardNth1gt11 + + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + gtu21*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + + J31L*PDstandardNth3gt22) + gtu31*(-(J13L*PDstandardNth1gt12) + + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); + + CCTK_REAL_VEC Gt212 = khalf*(gtu21*(J12L*PDstandardNth1gt11 + + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + gtu22*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + + J31L*PDstandardNth3gt22) + gtu32*(-(J13L*PDstandardNth1gt12) + + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); + + CCTK_REAL_VEC Gt312 = khalf*(gtu31*(J12L*PDstandardNth1gt11 + + J22L*PDstandardNth2gt11 + J32L*PDstandardNth3gt11) + + gtu32*(J11L*PDstandardNth1gt22 + J21L*PDstandardNth2gt22 + + J31L*PDstandardNth3gt22) + gtu33*(-(J13L*PDstandardNth1gt12) + + J12L*PDstandardNth1gt13 + J11L*PDstandardNth1gt23 - + J23L*PDstandardNth2gt12 + J22L*PDstandardNth2gt13 + + J21L*PDstandardNth2gt23 - J33L*PDstandardNth3gt12 + + J32L*PDstandardNth3gt13 + J31L*PDstandardNth3gt23)); + + CCTK_REAL_VEC Gt113 = khalf*(gtu11*(J13L*PDstandardNth1gt11 + + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + gtu21*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23) + gtu31*(J11L*PDstandardNth1gt33 + + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt213 = khalf*(gtu21*(J13L*PDstandardNth1gt11 + + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + gtu22*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23) + gtu32*(J11L*PDstandardNth1gt33 + + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt313 = khalf*(gtu31*(J13L*PDstandardNth1gt11 + + J23L*PDstandardNth2gt11 + J33L*PDstandardNth3gt11) + + gtu32*(J13L*PDstandardNth1gt12 - J12L*PDstandardNth1gt13 + + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 - + J22L*PDstandardNth2gt13 + J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 - J32L*PDstandardNth3gt13 + + J31L*PDstandardNth3gt23) + gtu33*(J11L*PDstandardNth1gt33 + + J21L*PDstandardNth2gt33 + J31L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-(J11L*PDstandardNth1gt22) + + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - + J31L*PDstandardNth3gt22) + gtu21*(J12L*PDstandardNth1gt22 + + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - + gtu31*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-(J11L*PDstandardNth1gt22) + + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - + J31L*PDstandardNth3gt22) + gtu22*(J12L*PDstandardNth1gt22 + + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - + gtu32*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-(J11L*PDstandardNth1gt22) + + 2*(J12L*PDstandardNth1gt12 + J22L*PDstandardNth2gt12) - + J21L*PDstandardNth2gt22 + 2*J32L*PDstandardNth3gt12 - + J31L*PDstandardNth3gt22) + gtu32*(J12L*PDstandardNth1gt22 + + J22L*PDstandardNth2gt22 + J32L*PDstandardNth3gt22) - + gtu33*(J13L*PDstandardNth1gt22 + J23L*PDstandardNth2gt22 + + J33L*PDstandardNth3gt22 - 2*(J12L*PDstandardNth1gt23 + + J22L*PDstandardNth2gt23 + J32L*PDstandardNth3gt23))); + + CCTK_REAL_VEC Gt123 = khalf*(gtu21*(J13L*PDstandardNth1gt22 + + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + gtu11*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt23) + gtu31*(J12L*PDstandardNth1gt33 + + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt223 = khalf*(gtu22*(J13L*PDstandardNth1gt22 + + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + gtu21*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt23) + gtu32*(J12L*PDstandardNth1gt33 + + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt323 = khalf*(gtu32*(J13L*PDstandardNth1gt22 + + J23L*PDstandardNth2gt22 + J33L*PDstandardNth3gt22) + + gtu31*(J13L*PDstandardNth1gt12 + J12L*PDstandardNth1gt13 - + J11L*PDstandardNth1gt23 + J23L*PDstandardNth2gt12 + + J22L*PDstandardNth2gt13 - J21L*PDstandardNth2gt23 + + J33L*PDstandardNth3gt12 + J32L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt23) + gtu33*(J12L*PDstandardNth1gt33 + + J22L*PDstandardNth2gt33 + J32L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt133 = khalf*(gtu11*(-(J11L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt33) + gtu21*(-(J12L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - + J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - + J32L*PDstandardNth3gt33) + gtu31*(J13L*PDstandardNth1gt33 + + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt233 = khalf*(gtu21*(-(J11L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt33) + gtu22*(-(J12L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - + J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - + J32L*PDstandardNth3gt33) + gtu32*(J13L*PDstandardNth1gt33 + + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Gt333 = khalf*(gtu31*(-(J11L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt13 + J23L*PDstandardNth2gt13) - + J21L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt13 - + J31L*PDstandardNth3gt33) + gtu32*(-(J12L*PDstandardNth1gt33) + + 2*(J13L*PDstandardNth1gt23 + J23L*PDstandardNth2gt23) - + J22L*PDstandardNth2gt33 + 2*J33L*PDstandardNth3gt23 - + J32L*PDstandardNth3gt33) + gtu33*(J13L*PDstandardNth1gt33 + + J23L*PDstandardNth2gt33 + J33L*PDstandardNth3gt33)); + + CCTK_REAL_VEC Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL_VEC Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL_VEC Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL_VEC AL = IfThen(LapseACoeff != 0,(-dtalpL + + J11L*LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1alpha + + PDupwindNthSymm1alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta1L*J21L*PDupwindNthAnti2alpha + + J11L*PDupwindNthSymm1alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta1L*J31L*PDupwindNthAnti3alpha + + J11L*PDupwindNthSymm1alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + J21L*LapseAdvectionCoeff*(beta1L*PDupwindNthAnti2alpha + + PDupwindNthSymm2alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta1L*J11L*PDupwindNthAnti1alpha + + J21L*PDupwindNthSymm2alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta1L*J31L*PDupwindNthAnti3alpha + + J21L*PDupwindNthSymm2alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + J31L*LapseAdvectionCoeff*(beta1L*PDupwindNthAnti3alpha + + PDupwindNthSymm3alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta1L*J11L*PDupwindNthAnti1alpha + + J31L*PDupwindNthSymm3alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta1L*J21L*PDupwindNthAnti2alpha + + J31L*PDupwindNthSymm3alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + J12L*LapseAdvectionCoeff*(beta2L*PDupwindNthAnti1alpha + + PDupwindNthSymm1alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta2L*J22L*PDupwindNthAnti2alpha + + J12L*PDupwindNthSymm1alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta2L*J32L*PDupwindNthAnti3alpha + + J12L*PDupwindNthSymm1alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + J22L*LapseAdvectionCoeff*(beta2L*PDupwindNthAnti2alpha + + PDupwindNthSymm2alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta2L*J12L*PDupwindNthAnti1alpha + + J22L*PDupwindNthSymm2alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta2L*J32L*PDupwindNthAnti3alpha + + J22L*PDupwindNthSymm2alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + J32L*LapseAdvectionCoeff*(beta2L*PDupwindNthAnti3alpha + + PDupwindNthSymm3alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta2L*J12L*PDupwindNthAnti1alpha + + J32L*PDupwindNthSymm3alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta2L*J22L*PDupwindNthAnti2alpha + + J32L*PDupwindNthSymm3alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + J13L*LapseAdvectionCoeff*(beta3L*PDupwindNthAnti1alpha + + PDupwindNthSymm1alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta3L*J23L*PDupwindNthAnti2alpha + + J13L*PDupwindNthSymm1alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta3L*J33L*PDupwindNthAnti3alpha + + J13L*PDupwindNthSymm1alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + J23L*LapseAdvectionCoeff*(beta3L*PDupwindNthAnti2alpha + + PDupwindNthSymm2alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta3L*J13L*PDupwindNthAnti1alpha + + J23L*PDupwindNthSymm2alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta3L*J33L*PDupwindNthAnti3alpha + + J23L*PDupwindNthSymm2alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + J33L*LapseAdvectionCoeff*(beta3L*PDupwindNthAnti3alpha + + PDupwindNthSymm3alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta3L*J13L*PDupwindNthAnti1alpha + + J33L*PDupwindNthSymm3alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta3L*J23L*PDupwindNthAnti2alpha + + J33L*PDupwindNthSymm3alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0); + + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); + + CCTK_REAL_VEC B1L = IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL + - beta1L*J11L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff - + J11L*PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*J21L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff - + J11L*PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*J31L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff - + J11L*PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*J11L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff - + J21L*PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*J21L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff - + J21L*PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*J31L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff - + J21L*PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*J11L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff - + J31L*PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*J21L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff - + J31L*PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*J31L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff - + J31L*PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*J12L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff - + J12L*PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*J22L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff - + J12L*PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*J32L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff - + J12L*PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*J12L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff - + J22L*PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*J22L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff - + J22L*PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*J32L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff - + J22L*PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*J12L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff - + J32L*PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*J22L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff - + J32L*PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*J32L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff - + J32L*PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*J13L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff - + J13L*PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*J23L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff - + J13L*PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*J33L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff - + J13L*PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*J13L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff - + J23L*PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*J23L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff - + J23L*PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*J33L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff - + J23L*PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*J13L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff - + J33L*PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*J23L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff - + J33L*PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*J33L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff - + J33L*PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0); + + CCTK_REAL_VEC B2L = IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL + - beta1L*J11L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff - + J11L*PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*J21L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff - + J11L*PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*J31L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff - + J11L*PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*J11L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff - + J21L*PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*J21L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff - + J21L*PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*J31L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff - + J21L*PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*J11L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff - + J31L*PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*J21L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff - + J31L*PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*J31L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff - + J31L*PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*J12L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff - + J12L*PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*J22L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff - + J12L*PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*J32L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff - + J12L*PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*J12L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff - + J22L*PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*J22L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff - + J22L*PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*J32L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff - + J22L*PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*J12L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff - + J32L*PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*J22L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff - + J32L*PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*J32L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff - + J32L*PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*J13L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff - + J13L*PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*J23L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff - + J13L*PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*J33L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff - + J13L*PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*J13L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff - + J23L*PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*J23L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff - + J23L*PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*J33L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff - + J23L*PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*J13L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff - + J33L*PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*J23L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff - + J33L*PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*J33L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff - + J33L*PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0); + + CCTK_REAL_VEC B3L = IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL + - beta1L*J11L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff - + J11L*PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*J21L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff - + J11L*PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*J31L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff - + J11L*PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*J11L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff - + J21L*PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*J21L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff - + J21L*PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*J31L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff - + J21L*PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*J11L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff - + J31L*PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*J21L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff - + J31L*PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*J31L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff - + J31L*PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*J12L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff - + J12L*PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*J22L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff - + J12L*PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*J32L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff - + J12L*PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*J12L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff - + J22L*PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*J22L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff - + J22L*PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*J32L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff - + J22L*PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*J12L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff - + J32L*PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*J22L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff - + J32L*PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*J32L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff - + J32L*PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*J13L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff - + J13L*PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*J23L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff - + J13L*PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*J33L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff - + J13L*PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*J13L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff - + J23L*PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*J23L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff - + J23L*PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*J33L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff - + J23L*PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*J13L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff - + J33L*PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*J23L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff - + J33L*PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*J33L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff - + J33L*PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0); + + + /* Copy local copies back to grid functions */ + vec_store_nta(A[index],AL); + vec_store_nta(B1[index],B1L); + vec_store_nta(B2[index],B2L); + vec_store_nta(B3[index],B3L); + vec_store_nta(Xt1[index],Xt1L); + vec_store_nta(Xt2[index],Xt2L); + vec_store_nta(Xt3[index],Xt3L); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_MP_convertFromADMBaseGamma); +} + +extern "C" void ML_BSSN_MP_convertFromADMBaseGamma(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_convertFromADMBaseGamma_Body); +} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBase.c b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBase.cc index 456cbe5..575760d 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBase.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBase.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_convertToADMBase_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[]) +static void ML_BSSN_MP_convertToADMBase_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; @@ -66,6 +67,12 @@ void ML_BSSN_MP_convertToADMBase_Body(cGH const * restrict const cctkGH, int con 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -84,37 +91,38 @@ void ML_BSSN_MP_convertToADMBase_Body(cGH const * restrict const cctkGH, int con /* Declare derivatives */ /* Assign local copies of 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]; + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC gxxL = vec_load(gxx[index]); + CCTK_REAL_VEC gxyL = vec_load(gxy[index]); + CCTK_REAL_VEC gxzL = vec_load(gxz[index]); + CCTK_REAL_VEC gyyL = vec_load(gyy[index]); + CCTK_REAL_VEC gyzL = vec_load(gyz[index]); + CCTK_REAL_VEC gzzL = vec_load(gzz[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + CCTK_REAL_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); gxxL = e4phi*gt11L; @@ -128,49 +136,50 @@ void ML_BSSN_MP_convertToADMBase_Body(cGH const * restrict const cctkGH, int con gzzL = e4phi*gt33L; - CCTK_REAL kxxL = At11L*e4phi + gxxL*kthird*trKL; + CCTK_REAL_VEC kxxL = At11L*e4phi + gxxL*kthird*trKL; - CCTK_REAL kxyL = At12L*e4phi + gxyL*kthird*trKL; + CCTK_REAL_VEC kxyL = At12L*e4phi + gxyL*kthird*trKL; - CCTK_REAL kxzL = At13L*e4phi + gxzL*kthird*trKL; + CCTK_REAL_VEC kxzL = At13L*e4phi + gxzL*kthird*trKL; - CCTK_REAL kyyL = At22L*e4phi + gyyL*kthird*trKL; + CCTK_REAL_VEC kyyL = At22L*e4phi + gyyL*kthird*trKL; - CCTK_REAL kyzL = At23L*e4phi + gyzL*kthird*trKL; + CCTK_REAL_VEC kyzL = At23L*e4phi + gyzL*kthird*trKL; - CCTK_REAL kzzL = At33L*e4phi + gzzL*kthird*trKL; + CCTK_REAL_VEC kzzL = At33L*e4phi + gzzL*kthird*trKL; - CCTK_REAL alpL = alphaL; + CCTK_REAL_VEC alpL = alphaL; - CCTK_REAL betaxL = beta1L; + CCTK_REAL_VEC betaxL = beta1L; - CCTK_REAL betayL = beta2L; + CCTK_REAL_VEC betayL = beta2L; - CCTK_REAL betazL = beta3L; + CCTK_REAL_VEC betazL = beta3L; /* Copy local copies back to grid functions */ - alp[index] = alpL; - betax[index] = betaxL; - betay[index] = betayL; - betaz[index] = betazL; - gxx[index] = gxxL; - gxy[index] = gxyL; - gxz[index] = gxzL; - gyy[index] = gyyL; - gyz[index] = gyzL; - gzz[index] = gzzL; - kxx[index] = kxxL; - kxy[index] = kxyL; - kxz[index] = kxzL; - kyy[index] = kyyL; - kyz[index] = kyzL; - kzz[index] = kzzL; + vec_store_nta(alp[index],alpL); + vec_store_nta(betax[index],betaxL); + vec_store_nta(betay[index],betayL); + vec_store_nta(betaz[index],betazL); + vec_store_nta(gxx[index],gxxL); + vec_store_nta(gxy[index],gxyL); + vec_store_nta(gxz[index],gxzL); + vec_store_nta(gyy[index],gyyL); + vec_store_nta(gyz[index],gyzL); + vec_store_nta(gzz[index],gzzL); + vec_store_nta(kxx[index],kxxL); + vec_store_nta(kxy[index],kxyL); + vec_store_nta(kxz[index],kxzL); + vec_store_nta(kyy[index],kyyL); + vec_store_nta(kyz[index],kyzL); + vec_store_nta(kzz[index],kzzL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_MP_convertToADMBase); } -void ML_BSSN_MP_convertToADMBase(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_MP_convertToADMBase(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.c b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.c deleted file mode 100644 index c99c385..0000000 --- a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.c +++ /dev/null @@ -1,162 +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_MP_convertToADMBaseDtLapseShift_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_convertToADMBaseDtLapseShift_Body"); - } - - if (cctk_iteration % ML_BSSN_MP_convertToADMBaseDtLapseShift_calc_every != ML_BSSN_MP_convertToADMBaseDtLapseShift_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_MP_convertToADMBaseDtLapseShift, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of 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 J11L = J11[index]; - CCTK_REAL J12L = J12[index]; - CCTK_REAL J13L = J13[index]; - CCTK_REAL J21L = J21[index]; - CCTK_REAL J22L = J22[index]; - CCTK_REAL J23L = J23[index]; - CCTK_REAL J31L = J31[index]; - CCTK_REAL J32L = J32[index]; - CCTK_REAL J33L = J33[index]; - CCTK_REAL rL = r[index]; - CCTK_REAL trKL = trK[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); - - CCTK_REAL dtalpL = (PDupwindNth1(alpha, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(alpha, i, j, - k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(alpha, i, - j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*LapseAdvectionCoeff + - harmonicF*(AL*(-1 + LapseAdvectionCoeff) - - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); - - CCTK_REAL dtbetaxL = (PDupwindNth1(beta1, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta1, i, j, - k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta1, i, - j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + - B1L*ShiftGammaCoeff*theta; - - CCTK_REAL dtbetayL = (PDupwindNth1(beta2, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta2, i, j, - k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta2, i, - j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + - B2L*ShiftGammaCoeff*theta; - - CCTK_REAL dtbetazL = (PDupwindNth1(beta3, i, j, k)*(beta1L*J11L + - beta2L*J12L + beta3L*J13L) + PDupwindNth2(beta3, i, j, - k)*(beta1L*J21L + beta2L*J22L + beta3L*J23L) + PDupwindNth3(beta3, i, - j, k)*(beta1L*J31L + beta2L*J32L + beta3L*J33L))*ShiftAdvectionCoeff + - B3L*ShiftGammaCoeff*theta; - - - /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; - } - LC_ENDLOOP3 (ML_BSSN_MP_convertToADMBaseDtLapseShift); -} - -void ML_BSSN_MP_convertToADMBaseDtLapseShift(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_convertToADMBaseDtLapseShift_Body); -} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.cc b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.cc new file mode 100644 index 0000000..c84321b --- /dev/null +++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShift.cc @@ -0,0 +1,244 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_MP_convertToADMBaseDtLapseShift_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_MP_convertToADMBaseDtLapseShift_Body"); + } + + if (cctk_iteration % ML_BSSN_MP_convertToADMBaseDtLapseShift_calc_every != ML_BSSN_MP_convertToADMBaseDtLapseShift_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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; + 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_MP_convertToADMBaseDtLapseShift, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDupwindNthAnti1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC J11L = vec_load(J11[index]); + CCTK_REAL_VEC J12L = vec_load(J12[index]); + CCTK_REAL_VEC J13L = vec_load(J13[index]); + CCTK_REAL_VEC J21L = vec_load(J21[index]); + CCTK_REAL_VEC J22L = vec_load(J22[index]); + CCTK_REAL_VEC J23L = vec_load(J23[index]); + CCTK_REAL_VEC J31L = vec_load(J31[index]); + CCTK_REAL_VEC J32L = vec_load(J32[index]); + CCTK_REAL_VEC J33L = vec_load(J33[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); + + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); + + CCTK_REAL_VEC dtalpL = LapseAdvectionCoeff*((beta1L*J11L + beta2L*J12L + + beta3L*J13L)*PDupwindNthAnti1alpha + (beta1L*J21L + beta2L*J22L + + beta3L*J23L)*PDupwindNthAnti2alpha + (beta1L*J31L + beta2L*J32L + + beta3L*J33L)*PDupwindNthAnti3alpha + (J11L*PDupwindNthSymm1alpha + + J21L*PDupwindNthSymm2alpha + J31L*PDupwindNthSymm3alpha)*Abs(beta1L) + + (J12L*PDupwindNthSymm1alpha + J22L*PDupwindNthSymm2alpha + + J32L*PDupwindNthSymm3alpha)*Abs(beta2L) + (J13L*PDupwindNthSymm1alpha + + J23L*PDupwindNthSymm2alpha + J33L*PDupwindNthSymm3alpha)*Abs(beta3L)) - + harmonicF*(LapseACoeff*(AL - trKL) + trKL)*pow(alphaL,harmonicN); + + CCTK_REAL_VEC dtbetaxL = + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L) + ShiftAdvectionCoeff*((beta1L*J11L + + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1beta1 + (beta1L*J21L + + beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2beta1 + (beta1L*J31L + + beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3beta1 + + (J11L*PDupwindNthSymm1beta1 + J21L*PDupwindNthSymm2beta1 + + J31L*PDupwindNthSymm3beta1)*Abs(beta1L) + (J12L*PDupwindNthSymm1beta1 + + J22L*PDupwindNthSymm2beta1 + J32L*PDupwindNthSymm3beta1)*Abs(beta2L) + + (J13L*PDupwindNthSymm1beta1 + J23L*PDupwindNthSymm2beta1 + + J33L*PDupwindNthSymm3beta1)*Abs(beta3L)); + + CCTK_REAL_VEC dtbetayL = + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L) + ShiftAdvectionCoeff*((beta1L*J11L + + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1beta2 + (beta1L*J21L + + beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2beta2 + (beta1L*J31L + + beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3beta2 + + (J11L*PDupwindNthSymm1beta2 + J21L*PDupwindNthSymm2beta2 + + J31L*PDupwindNthSymm3beta2)*Abs(beta1L) + (J12L*PDupwindNthSymm1beta2 + + J22L*PDupwindNthSymm2beta2 + J32L*PDupwindNthSymm3beta2)*Abs(beta2L) + + (J13L*PDupwindNthSymm1beta2 + J23L*PDupwindNthSymm2beta2 + + J33L*PDupwindNthSymm3beta2)*Abs(beta3L)); + + CCTK_REAL_VEC dtbetazL = + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L) + ShiftAdvectionCoeff*((beta1L*J11L + + beta2L*J12L + beta3L*J13L)*PDupwindNthAnti1beta3 + (beta1L*J21L + + beta2L*J22L + beta3L*J23L)*PDupwindNthAnti2beta3 + (beta1L*J31L + + beta2L*J32L + beta3L*J33L)*PDupwindNthAnti3beta3 + + (J11L*PDupwindNthSymm1beta3 + J21L*PDupwindNthSymm2beta3 + + J31L*PDupwindNthSymm3beta3)*Abs(beta1L) + (J12L*PDupwindNthSymm1beta3 + + J22L*PDupwindNthSymm2beta3 + J32L*PDupwindNthSymm3beta3)*Abs(beta2L) + + (J13L*PDupwindNthSymm1beta3 + J23L*PDupwindNthSymm2beta3 + + J33L*PDupwindNthSymm3beta3)*Abs(beta3L)); + + + /* Copy local copies back to grid functions */ + vec_store_nta(dtalp[index],dtalpL); + vec_store_nta(dtbetax[index],dtbetaxL); + vec_store_nta(dtbetay[index],dtbetayL); + vec_store_nta(dtbetaz[index],dtbetazL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_MP_convertToADMBaseDtLapseShift); +} + +extern "C" void ML_BSSN_MP_convertToADMBaseDtLapseShift(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_MP_convertToADMBaseDtLapseShift_Body); +} diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.c b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.cc index 0210c2b..ac1c5d8 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary_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[]) +static void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary_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; @@ -66,6 +67,12 @@ void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict c 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -84,42 +91,57 @@ void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict c /* Declare derivatives */ /* Assign local copies of 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 rL = r[index]; - CCTK_REAL trKL = trK[index]; + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); - CCTK_REAL dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); - CCTK_REAL dtbetaxL = B1L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtalpL = -(harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN)); - CCTK_REAL dtbetayL = B2L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetaxL = + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L); - CCTK_REAL dtbetazL = B3L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetayL = + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L); + + CCTK_REAL_VEC dtbetazL = + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L); /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; + vec_store_nta(dtalp[index],dtalpL); + vec_store_nta(dtbetax[index],dtbetaxL); + vec_store_nta(dtbetay[index],dtbetayL); + vec_store_nta(dtbetaz[index],dtbetazL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary); } -void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.c b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.cc index cad61bd..f7769e7 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift_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[]) +static void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift_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; @@ -66,6 +67,12 @@ void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -84,42 +91,57 @@ void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const /* Declare derivatives */ /* Assign local copies of 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 rL = r[index]; - CCTK_REAL trKL = trK[index]; + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); - CCTK_REAL dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); - CCTK_REAL dtbetaxL = B1L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtalpL = -(harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN)); - CCTK_REAL dtbetayL = B2L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetaxL = + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L); - CCTK_REAL dtbetazL = B3L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetayL = + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L); + + CCTK_REAL_VEC dtbetazL = + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L); /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; + vec_store_nta(dtalp[index],dtalpL); + vec_store_nta(dtbetax[index],dtbetaxL); + vec_store_nta(dtbetay[index],dtbetayL); + vec_store_nta(dtbetaz[index],dtbetazL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_MP_convertToADMBaseFakeDtLapseShift); } -void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_MP_convertToADMBaseFakeDtLapseShift(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_MP/src/ML_BSSN_MP_enforce.c b/ML_BSSN_MP/src/ML_BSSN_MP_enforce.cc index c1dcbcd..4394f0a 100644 --- a/ML_BSSN_MP/src/ML_BSSN_MP_enforce.c +++ b/ML_BSSN_MP/src/ML_BSSN_MP_enforce.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_MP_enforce_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[]) +static void ML_BSSN_MP_enforce_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; @@ -66,6 +67,12 @@ void ML_BSSN_MP_enforce_Body(cGH const * restrict const cctkGH, int const dir, i 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 p1o24dx = INV(dx)/24.; + CCTK_REAL const p1o24dy = INV(dy)/24.; + CCTK_REAL const p1o24dz = INV(dz)/24.; + CCTK_REAL const p1o64dx = INV(dx)/64.; + CCTK_REAL const p1o64dy = INV(dy)/64.; + CCTK_REAL const p1o64dz = INV(dz)/64.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1ody = INV(dy); CCTK_REAL const p1odz = INV(dz); @@ -84,40 +91,40 @@ void ML_BSSN_MP_enforce_Body(cGH const * restrict const cctkGH, int const dir, i /* Declare derivatives */ /* Assign local copies of 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]; + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL detgt = 1; + CCTK_REAL_VEC detgt = 1; - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + + CCTK_REAL_VEC trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; At11L = At11L - gt11L*kthird*trAt; @@ -136,18 +143,19 @@ void ML_BSSN_MP_enforce_Body(cGH const * restrict const cctkGH, int const dir, i /* 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; + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_MP_enforce); } -void ML_BSSN_MP_enforce(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_MP_enforce(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_MP/src/make.code.defn b/ML_BSSN_MP/src/make.code.defn index 4bf37a0..7862641 100644 --- a/ML_BSSN_MP/src/make.code.defn +++ b/ML_BSSN_MP/src/make.code.defn @@ -1,3 +1,3 @@ # File produced by Kranc -SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_MP_Minkowski.c ML_BSSN_MP_convertFromADMBase.c ML_BSSN_MP_convertFromADMBaseGamma.c ML_BSSN_MP_RHS1.c ML_BSSN_MP_RHS2.c ML_BSSN_MP_RHSStaticBoundary.c ML_BSSN_MP_RHSRadiativeBoundary.c ML_BSSN_MP_enforce.c ML_BSSN_MP_boundary.c ML_BSSN_MP_convertToADMBase.c ML_BSSN_MP_convertToADMBaseDtLapseShift.c ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.c ML_BSSN_MP_constraints.c ML_BSSN_MP_constraints_boundary.c Boundaries.c +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_MP_Minkowski.cc ML_BSSN_MP_convertFromADMBase.cc ML_BSSN_MP_convertFromADMBaseGamma.cc ML_BSSN_MP_RHS1.cc ML_BSSN_MP_RHS2.cc ML_BSSN_MP_RHSStaticBoundary.cc ML_BSSN_MP_RHSRadiativeBoundary.cc ML_BSSN_MP_enforce.cc ML_BSSN_MP_boundary.cc ML_BSSN_MP_convertToADMBase.cc ML_BSSN_MP_convertToADMBaseDtLapseShift.cc ML_BSSN_MP_convertToADMBaseDtLapseShiftBoundary.cc ML_BSSN_MP_convertToADMBaseFakeDtLapseShift.cc ML_BSSN_MP_constraints.cc ML_BSSN_MP_constraints_boundary.cc Boundaries.c diff --git a/ML_BSSN_O2/interface.ccl b/ML_BSSN_O2/interface.ccl index f074947..83b87c4 100644 --- a/ML_BSSN_O2/interface.ccl +++ b/ML_BSSN_O2/interface.ccl @@ -8,6 +8,7 @@ inherits: ADMBase TmunuBase Grid GenericFD Boundary USES INCLUDE: GenericFD.h USES INCLUDE: Symmetry.h +USES INCLUDE: Vectors.hh USES INCLUDE: sbp_calc_coeffs.h USES INCLUDE: Boundary.h USES INCLUDE: loopcontrol.h diff --git a/ML_BSSN_O2/param.ccl b/ML_BSSN_O2/param.ccl index 73e5fc2..228a352 100644 --- a/ML_BSSN_O2/param.ccl +++ b/ML_BSSN_O2/param.ccl @@ -55,6 +55,12 @@ CCTK_INT verbose "verbose" } 0 restricted: +CCTK_REAL LapseACoeff "Whether to evolve A in time" +{ + "*:*" :: "" +} 0 + +restricted: CCTK_REAL harmonicF "d/dt alpha = - f alpha^n K (harmonic=1, 1+log=2)" { "*:*" :: "" @@ -67,6 +73,12 @@ CCTK_REAL AlphaDriver "AlphaDriver" } 0 restricted: +CCTK_REAL ShiftBCoeff "Whether to evolve B^i in time" +{ + "*:*" :: "" +} 1 + +restricted: CCTK_REAL ShiftGammaCoeff "ShiftGammaCoeff" { "*:*" :: "" @@ -109,6 +121,12 @@ CCTK_REAL SpatialShiftGammaCoeffRadius "Radius at which the ShiftGammaCoefficien } 1000000000000 restricted: +CCTK_REAL EpsDiss "Dissipation strength" +{ + "*:*" :: "" +} 0 + +restricted: CCTK_INT harmonicN "d/dt alpha = - f alpha^n K (harmonic=2, 1+log=1)" { *:* :: "" diff --git a/ML_BSSN_O2/src/Differencing.h b/ML_BSSN_O2/src/Differencing.h index ba07758..5876036 100644 --- a/ML_BSSN_O2/src/Differencing.h +++ b/ML_BSSN_O2/src/Differencing.h @@ -1,18 +1,27 @@ -#define PDstandardNth1(u,i,j,k) (p1o2dx*(-(u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)])) -#define PDstandardNth2(u,i,j,k) (p1o2dy*(-(u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)])) -#define PDstandardNth3(u,i,j,k) (p1o2dz*(-(u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)])) -#define PDstandardNth11(u,i,j,k) (p1odx2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)])) -#define PDstandardNth22(u,i,j,k) (p1ody2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)])) -#define PDstandardNth33(u,i,j,k) (p1odz2*(-2*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)])) -#define PDstandardNth12(u,i,j,k) (p1o4dxdy*((u)[index+di*(-1)+dj*(-1)+dk*(0)] - (u)[index+di*(-1)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)])) -#define PDstandardNth13(u,i,j,k) (p1o4dxdz*((u)[index+di*(-1)+dj*(0)+dk*(-1)] - (u)[index+di*(-1)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)])) -#define PDstandardNth21(u,i,j,k) (p1o4dxdy*((u)[index+di*(-1)+dj*(-1)+dk*(0)] - (u)[index+di*(-1)+dj*(1)+dk*(0)] - (u)[index+di*(1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)])) -#define PDstandardNth23(u,i,j,k) (p1o4dydz*((u)[index+di*(0)+dj*(-1)+dk*(-1)] - (u)[index+di*(0)+dj*(-1)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)])) -#define PDstandardNth31(u,i,j,k) (p1o4dxdz*((u)[index+di*(-1)+dj*(0)+dk*(-1)] - (u)[index+di*(-1)+dj*(0)+dk*(1)] - (u)[index+di*(1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)])) -#define PDstandardNth32(u,i,j,k) (p1o4dydz*((u)[index+di*(0)+dj*(-1)+dk*(-1)] - (u)[index+di*(0)+dj*(-1)+dk*(1)] - (u)[index+di*(0)+dj*(1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)])) -#define PDupwindNth1(u,i,j,k) (pm1o2dx*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(2*dir1)+dj*(0)+dk*(0)] - 4*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) -#define PDupwindNth2(u,i,j,k) (pm1o2dy*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(2*dir2)+dk*(0)] - 4*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) -#define PDupwindNth3(u,i,j,k) (pm1o2dz*(3*(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(2*dir3)] - 4*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) -#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) -#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) -#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDstandardNth1(u,i,j,k) (p1o2dx*(-vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)]))) +#define PDstandardNth2(u,i,j,k) (p1o2dy*(-vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)]))) +#define PDstandardNth3(u,i,j,k) (p1o2dz*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)]))) +#define PDstandardNth11(u,i,j,k) (p1odx2*(-2*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)]))) +#define PDstandardNth22(u,i,j,k) (p1ody2*(-2*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)]))) +#define PDstandardNth33(u,i,j,k) (p1odz2*(-2*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)]))) +#define PDstandardNth12(u,i,j,k) (p1o4dxdy*(vec_loadu((u)[index+di*(-1)+dj*(-1)+dk*(0)]) - vec_loadu((u)[index+di*(-1)+dj*(1)+dk*(0)]) - vec_loadu((u)[index+di*(1)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(1)+dk*(0)]))) +#define PDstandardNth13(u,i,j,k) (p1o4dxdz*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-1)]) - vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(1)]) - vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(1)]))) +#define PDstandardNth21(u,i,j,k) (p1o4dxdy*(vec_loadu((u)[index+di*(-1)+dj*(-1)+dk*(0)]) - vec_loadu((u)[index+di*(-1)+dj*(1)+dk*(0)]) - vec_loadu((u)[index+di*(1)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(1)+dk*(0)]))) +#define PDstandardNth23(u,i,j,k) (p1o4dydz*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-1)]) - vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(1)]) - vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(1)]))) +#define PDstandardNth31(u,i,j,k) (p1o4dxdz*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-1)]) - vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(1)]) - vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(1)]))) +#define PDstandardNth32(u,i,j,k) (p1o4dydz*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-1)]) - vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(1)]) - vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(1)]))) +#define PDdissipationNth1(u,i,j,k) (p1o16dx*(6*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 4*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]))) +#define PDdissipationNth2(u,i,j,k) (p1o16dy*(6*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 4*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]))) +#define PDdissipationNth3(u,i,j,k) (p1o16dz*(6*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 4*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]))) +#define PDupwindNth1(u,i,j,k) (pm1o2dx*(3*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2*dir1)+dj*(0)+dk*(0)]) - 4*vec_loadu((u)[index+di*(dir1)+dj*(0)+dk*(0)]))*dir1) +#define PDupwindNth2(u,i,j,k) (pm1o2dy*(3*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2*dir2)+dk*(0)]) - 4*vec_loadu((u)[index+di*(0)+dj*(dir2)+dk*(0)]))*dir2) +#define PDupwindNth3(u,i,j,k) (pm1o2dz*(3*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2*dir3)]) - 4*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(dir3)]))*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(dir1)+dj*(0)+dk*(0)]))*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(dir2)+dk*(0)]))*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(dir3)]))*dir3) +#define PDupwindNthAnti1(u,i,j,k) (p1o4dx*(-4*vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + 4*vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) - vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]))) +#define PDupwindNthSymm1(u,i,j,k) (pm1o4dx*(6*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 4*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]))) +#define PDupwindNthAnti2(u,i,j,k) (p1o4dy*(-4*vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + 4*vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) - vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]))) +#define PDupwindNthSymm2(u,i,j,k) (pm1o4dy*(6*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 4*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]))) +#define PDupwindNthAnti3(u,i,j,k) (p1o4dz*(-4*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + 4*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) - vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]))) +#define PDupwindNthSymm3(u,i,j,k) (pm1o4dz*(6*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 4*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]))) diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_Minkowski.c b/ML_BSSN_O2/src/ML_BSSN_O2_Minkowski.cc index fb7e103..cbbd5e3 100644 --- a/ML_BSSN_O2/src/ML_BSSN_O2_Minkowski.c +++ b/ML_BSSN_O2/src/ML_BSSN_O2_Minkowski.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O2_Minkowski_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[]) +static void ML_BSSN_O2_Minkowski_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; @@ -60,12 +61,18 @@ void ML_BSSN_O2_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; CCTK_REAL const p1o2dx = khalf*INV(dx); CCTK_REAL const p1o2dy = khalf*INV(dy); CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1odx2 = pow(dx,-2); CCTK_REAL const p1ody = INV(dy); @@ -75,6 +82,9 @@ void ML_BSSN_O2_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; /* Loop over the grid points */ #pragma omp parallel @@ -93,88 +103,89 @@ void ML_BSSN_O2_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL phiL = IfThen(conformalMethod,1,0); + CCTK_REAL_VEC phiL = IfThen(conformalMethod,1,0); - CCTK_REAL gt11L = 1; + CCTK_REAL_VEC gt11L = 1; - CCTK_REAL gt12L = 0; + CCTK_REAL_VEC gt12L = 0; - CCTK_REAL gt13L = 0; + CCTK_REAL_VEC gt13L = 0; - CCTK_REAL gt22L = 1; + CCTK_REAL_VEC gt22L = 1; - CCTK_REAL gt23L = 0; + CCTK_REAL_VEC gt23L = 0; - CCTK_REAL gt33L = 1; + CCTK_REAL_VEC gt33L = 1; - CCTK_REAL trKL = 0; + CCTK_REAL_VEC trKL = 0; - CCTK_REAL At11L = 0; + CCTK_REAL_VEC At11L = 0; - CCTK_REAL At12L = 0; + CCTK_REAL_VEC At12L = 0; - CCTK_REAL At13L = 0; + CCTK_REAL_VEC At13L = 0; - CCTK_REAL At22L = 0; + CCTK_REAL_VEC At22L = 0; - CCTK_REAL At23L = 0; + CCTK_REAL_VEC At23L = 0; - CCTK_REAL At33L = 0; + CCTK_REAL_VEC At33L = 0; - CCTK_REAL Xt1L = 0; + CCTK_REAL_VEC Xt1L = 0; - CCTK_REAL Xt2L = 0; + CCTK_REAL_VEC Xt2L = 0; - CCTK_REAL Xt3L = 0; + CCTK_REAL_VEC Xt3L = 0; - CCTK_REAL alphaL = 1; + CCTK_REAL_VEC alphaL = 1; - CCTK_REAL AL = 0; + CCTK_REAL_VEC AL = 0; - CCTK_REAL beta1L = 0; + CCTK_REAL_VEC beta1L = 0; - CCTK_REAL beta2L = 0; + CCTK_REAL_VEC beta2L = 0; - CCTK_REAL beta3L = 0; + CCTK_REAL_VEC beta3L = 0; - CCTK_REAL B1L = 0; + CCTK_REAL_VEC B1L = 0; - CCTK_REAL B2L = 0; + CCTK_REAL_VEC B2L = 0; - CCTK_REAL B3L = 0; + CCTK_REAL_VEC B3L = 0; /* Copy local copies back to grid functions */ - A[index] = AL; - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; + vec_store_nta(A[index],AL); + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + vec_store_nta(B1[index],B1L); + vec_store_nta(B2[index],B2L); + vec_store_nta(B3[index],B3L); + vec_store_nta(beta1[index],beta1L); + vec_store_nta(beta2[index],beta2L); + vec_store_nta(beta3[index],beta3L); + vec_store_nta(gt11[index],gt11L); + vec_store_nta(gt12[index],gt12L); + vec_store_nta(gt13[index],gt13L); + vec_store_nta(gt22[index],gt22L); + vec_store_nta(gt23[index],gt23L); + vec_store_nta(gt33[index],gt33L); + vec_store_nta(phi[index],phiL); + vec_store_nta(trK[index],trKL); + vec_store_nta(Xt1[index],Xt1L); + vec_store_nta(Xt2[index],Xt2L); + vec_store_nta(Xt3[index],Xt3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O2_Minkowski); } -void ML_BSSN_O2_Minkowski(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O2_Minkowski(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_RHS1.c b/ML_BSSN_O2/src/ML_BSSN_O2_RHS1.c deleted file mode 100644 index 18cd5f7..0000000 --- a/ML_BSSN_O2/src/ML_BSSN_O2_RHS1.c +++ /dev/null @@ -1,602 +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_O2_RHS1_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O2_RHS1_Body"); - } - - if (cctk_iteration % ML_BSSN_O2_RHS1_calc_every != ML_BSSN_O2_RHS1_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 p1o2dx = khalf*INV(dx); - CCTK_REAL const p1o2dy = khalf*INV(dy); - CCTK_REAL const p1o2dz = khalf*INV(dz); - CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; - CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; - CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1odx2 = pow(dx,-2); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1ody2 = pow(dy,-2); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const p1odz2 = pow(dz,-2); - CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); - CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); - CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_O2_RHS1, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1alpha = INITVALUE; - // CCTK_REAL PDstandardNth2alpha = INITVALUE; - // CCTK_REAL PDstandardNth3alpha = INITVALUE; - // CCTK_REAL PDstandardNth11alpha = INITVALUE; - // CCTK_REAL PDstandardNth22alpha = INITVALUE; - // CCTK_REAL PDstandardNth33alpha = INITVALUE; - // CCTK_REAL PDstandardNth12alpha = INITVALUE; - // CCTK_REAL PDstandardNth13alpha = INITVALUE; - // CCTK_REAL PDstandardNth23alpha = INITVALUE; - // CCTK_REAL PDstandardNth1beta1 = INITVALUE; - // CCTK_REAL PDstandardNth2beta1 = INITVALUE; - // CCTK_REAL PDstandardNth3beta1 = INITVALUE; - // CCTK_REAL PDstandardNth11beta1 = INITVALUE; - // CCTK_REAL PDstandardNth22beta1 = INITVALUE; - // CCTK_REAL PDstandardNth33beta1 = INITVALUE; - // CCTK_REAL PDstandardNth12beta1 = INITVALUE; - // CCTK_REAL PDstandardNth13beta1 = INITVALUE; - // CCTK_REAL PDstandardNth23beta1 = INITVALUE; - // CCTK_REAL PDstandardNth1beta2 = INITVALUE; - // CCTK_REAL PDstandardNth2beta2 = INITVALUE; - // CCTK_REAL PDstandardNth3beta2 = INITVALUE; - // CCTK_REAL PDstandardNth11beta2 = INITVALUE; - // CCTK_REAL PDstandardNth22beta2 = INITVALUE; - // CCTK_REAL PDstandardNth33beta2 = INITVALUE; - // CCTK_REAL PDstandardNth12beta2 = INITVALUE; - // CCTK_REAL PDstandardNth13beta2 = INITVALUE; - // CCTK_REAL PDstandardNth23beta2 = INITVALUE; - // CCTK_REAL PDstandardNth1beta3 = INITVALUE; - // CCTK_REAL PDstandardNth2beta3 = INITVALUE; - // CCTK_REAL PDstandardNth3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth11beta3 = INITVALUE; - // CCTK_REAL PDstandardNth22beta3 = INITVALUE; - // CCTK_REAL PDstandardNth33beta3 = INITVALUE; - // CCTK_REAL PDstandardNth12beta3 = INITVALUE; - // CCTK_REAL PDstandardNth13beta3 = INITVALUE; - // CCTK_REAL PDstandardNth23beta3 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth1trK = INITVALUE; - // CCTK_REAL PDstandardNth2trK = INITVALUE; - // CCTK_REAL PDstandardNth3trK = INITVALUE; - - /* Assign local copies of 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 */ - 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); - CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - CCTK_REAL const PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); - CCTK_REAL const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); - CCTK_REAL const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); - CCTK_REAL const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); - CCTK_REAL const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); - CCTK_REAL const PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); - CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - CCTK_REAL const PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); - CCTK_REAL const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); - CCTK_REAL const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); - CCTK_REAL const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); - CCTK_REAL const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); - CCTK_REAL const PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); - CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - CCTK_REAL const PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); - CCTK_REAL const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); - CCTK_REAL const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); - CCTK_REAL const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); - CCTK_REAL const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); - CCTK_REAL const PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); - 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); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - 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 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 fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - CCTK_REAL cdphi1 = fac1*PDstandardNth1phi; - - CCTK_REAL cdphi2 = fac1*PDstandardNth2phi; - - CCTK_REAL cdphi3 = fac1*PDstandardNth3phi; - - CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - CCTK_REAL Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; - - CCTK_REAL Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; - - 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 e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - CCTK_REAL em4phi = INV(e4phi); - - 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 trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu21 + - eTxzL*gtu31 + eTyzL*gtu32) + eTzzL*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); - - trKrhsL = PDupwindNth1(trK, i, j, k)*beta1L + PDupwindNth2(trK, i, - j, k)*beta2L + PDupwindNth3(trK, i, j, k)*beta3L - - em4phi*(gtu11*PDstandardNth11alpha + gtu22*PDstandardNth22alpha + - gtu33*(PDstandardNth33alpha + 2*cdphi3*PDstandardNth3alpha) + - 2*(gtu21*PDstandardNth12alpha + gtu31*(PDstandardNth13alpha + - cdphi1*PDstandardNth3alpha) + gtu32*(PDstandardNth23alpha + - cdphi2*PDstandardNth3alpha)) + PDstandardNth1alpha*(2*(cdphi1*gtu11 + - cdphi2*gtu21 + cdphi3*gtu31) - Xtn1) + - PDstandardNth2alpha*(2*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32) - - Xtn2) - PDstandardNth3alpha*Xtn3) + alphaL*(2*(Atm12*Atm21 + - Atm13*Atm31 + Atm23*Atm32) + - 12.56637061435917295385057353311801153679*(rho + trS) + SQR(Atm11) + - SQR(Atm22) + SQR(Atm33) + kthird*SQR(trKL)); - - 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 theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); - - 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 beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + - PDupwindNth2(beta1, i, j, k)*beta2L + PDupwindNth3(beta1, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff*theta; - - CCTK_REAL beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + - PDupwindNth2(beta2, i, j, k)*beta2L + PDupwindNth3(beta2, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff*theta; - - CCTK_REAL beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + - PDupwindNth2(beta3, i, j, k)*beta2L + PDupwindNth3(beta3, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff*theta; - - 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 */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - } - LC_ENDLOOP3 (ML_BSSN_O2_RHS1); -} - -void ML_BSSN_O2_RHS1(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_RHS1_Body); -} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_RHS1.cc b/ML_BSSN_O2/src/ML_BSSN_O2_RHS1.cc new file mode 100644 index 0000000..f9c3fa0 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_RHS1.cc @@ -0,0 +1,1037 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_O2_RHS1_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O2_RHS1_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_RHS1_calc_every != ML_BSSN_O2_RHS1_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 p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const p1odz2 = pow(dz,-2); + CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); + CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); + CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_O2_RHS1, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDdissipationNth1A = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2A = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3A = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1B1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2B1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3B1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1B2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2B2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3B2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1B3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2B3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3B3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23beta1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1beta1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2beta1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23beta2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1beta2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2beta2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23beta3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1beta3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2beta3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3phi = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1phi = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2phi = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC eTttL = (*stress_energy_state) ? vec_load(eTtt[index]) : 0.0; + CCTK_REAL_VEC eTtxL = (*stress_energy_state) ? vec_load(eTtx[index]) : 0.0; + CCTK_REAL_VEC eTtyL = (*stress_energy_state) ? vec_load(eTty[index]) : 0.0; + CCTK_REAL_VEC eTtzL = (*stress_energy_state) ? vec_load(eTtz[index]) : 0.0; + CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; + CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; + CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; + CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; + CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; + CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDdissipationNth1A = PDdissipationNth1(A, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2A = PDdissipationNth2(A, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3A = PDdissipationNth3(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1A = PDupwindNthAnti1(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1A = PDupwindNthSymm1(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2A = PDupwindNthAnti2(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2A = PDupwindNthSymm2(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3A = PDupwindNthAnti3(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3A = PDupwindNthSymm3(A, i, j, k); + CCTK_REAL_VEC const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1alpha = PDdissipationNth1(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2alpha = PDdissipationNth2(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3alpha = PDdissipationNth3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1B1 = PDdissipationNth1(B1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2B1 = PDdissipationNth2(B1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3B1 = PDdissipationNth3(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1B1 = PDupwindNthAnti1(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1B1 = PDupwindNthSymm1(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2B1 = PDupwindNthAnti2(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2B1 = PDupwindNthSymm2(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3B1 = PDupwindNthAnti3(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3B1 = PDupwindNthSymm3(B1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1B2 = PDdissipationNth1(B2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2B2 = PDdissipationNth2(B2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3B2 = PDdissipationNth3(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1B2 = PDupwindNthAnti1(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1B2 = PDupwindNthSymm1(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2B2 = PDupwindNthAnti2(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2B2 = PDupwindNthSymm2(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3B2 = PDupwindNthAnti3(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3B2 = PDupwindNthSymm3(B2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1B3 = PDdissipationNth1(B3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2B3 = PDdissipationNth2(B3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3B3 = PDdissipationNth3(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1B3 = PDupwindNthAnti1(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1B3 = PDupwindNthSymm1(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2B3 = PDupwindNthAnti2(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2B3 = PDupwindNthSymm2(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3B3 = PDupwindNthAnti3(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3B3 = PDupwindNthSymm3(B3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1beta1 = PDdissipationNth1(beta1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2beta1 = PDdissipationNth2(beta1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3beta1 = PDdissipationNth3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1beta2 = PDdissipationNth1(beta2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2beta2 = PDdissipationNth2(beta2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3beta2 = PDdissipationNth3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1beta3 = PDdissipationNth1(beta3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2beta3 = PDdissipationNth2(beta3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3beta3 = PDdissipationNth3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt11 = PDdissipationNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt11 = PDdissipationNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt11 = PDdissipationNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt11 = PDupwindNthAnti1(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt11 = PDupwindNthSymm1(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt11 = PDupwindNthAnti2(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt11 = PDupwindNthSymm2(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt11 = PDupwindNthAnti3(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt11 = PDupwindNthSymm3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt12 = PDdissipationNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt12 = PDdissipationNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt12 = PDdissipationNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt12 = PDupwindNthAnti1(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt12 = PDupwindNthSymm1(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt12 = PDupwindNthAnti2(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt12 = PDupwindNthSymm2(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt12 = PDupwindNthAnti3(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt12 = PDupwindNthSymm3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt13 = PDdissipationNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt13 = PDdissipationNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt13 = PDdissipationNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt13 = PDupwindNthAnti1(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt13 = PDupwindNthSymm1(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt13 = PDupwindNthAnti2(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt13 = PDupwindNthSymm2(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt13 = PDupwindNthAnti3(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt13 = PDupwindNthSymm3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt22 = PDdissipationNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt22 = PDdissipationNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt22 = PDdissipationNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt22 = PDupwindNthAnti1(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt22 = PDupwindNthSymm1(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt22 = PDupwindNthAnti2(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt22 = PDupwindNthSymm2(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt22 = PDupwindNthAnti3(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt22 = PDupwindNthSymm3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt23 = PDdissipationNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt23 = PDdissipationNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt23 = PDdissipationNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt23 = PDupwindNthAnti1(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt23 = PDupwindNthSymm1(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt23 = PDupwindNthAnti2(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt23 = PDupwindNthSymm2(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt23 = PDupwindNthAnti3(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt23 = PDupwindNthSymm3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt33 = PDdissipationNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt33 = PDdissipationNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt33 = PDdissipationNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt33 = PDupwindNthAnti1(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt33 = PDupwindNthSymm1(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt33 = PDupwindNthAnti2(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt33 = PDupwindNthSymm2(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt33 = PDupwindNthAnti3(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt33 = PDupwindNthSymm3(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1phi = PDdissipationNth1(phi, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2phi = PDdissipationNth2(phi, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3phi = PDdissipationNth3(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1phi = PDupwindNthAnti1(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1phi = PDupwindNthSymm1(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2phi = PDupwindNthAnti2(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2phi = PDupwindNthSymm2(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3phi = PDupwindNthAnti3(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3phi = PDupwindNthSymm3(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1trK = PDdissipationNth1(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2trK = PDdissipationNth2(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3trK = PDdissipationNth3(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1trK = PDupwindNthAnti1(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1trK = PDupwindNthSymm1(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2trK = PDupwindNthAnti2(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2trK = PDupwindNthSymm2(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3trK = PDupwindNthAnti3(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3trK = PDupwindNthSymm3(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1Xt1 = PDdissipationNth1(Xt1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2Xt1 = PDdissipationNth2(Xt1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3Xt1 = PDdissipationNth3(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1Xt1 = PDupwindNthAnti1(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1Xt1 = PDupwindNthSymm1(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2Xt1 = PDupwindNthAnti2(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2Xt1 = PDupwindNthSymm2(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3Xt1 = PDupwindNthAnti3(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3Xt1 = PDupwindNthSymm3(Xt1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1Xt2 = PDdissipationNth1(Xt2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2Xt2 = PDdissipationNth2(Xt2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3Xt2 = PDdissipationNth3(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1Xt2 = PDupwindNthAnti1(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1Xt2 = PDupwindNthSymm1(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2Xt2 = PDupwindNthAnti2(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2Xt2 = PDupwindNthSymm2(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3Xt2 = PDupwindNthAnti3(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3Xt2 = PDupwindNthSymm3(Xt2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1Xt3 = PDdissipationNth1(Xt3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2Xt3 = PDdissipationNth2(Xt3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3Xt3 = PDdissipationNth3(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1Xt3 = PDupwindNthAnti1(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1Xt3 = PDupwindNthSymm1(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2Xt3 = PDupwindNthAnti2(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2Xt3 = PDupwindNthSymm2(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3Xt3 = PDupwindNthAnti3(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3Xt3 = PDupwindNthSymm3(Xt3, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC epsdiss1 = EpsDiss; + + CCTK_REAL_VEC epsdiss2 = EpsDiss; + + CCTK_REAL_VEC epsdiss3 = EpsDiss; + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL_VEC Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL_VEC Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL_VEC Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL_VEC fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL_VEC cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL_VEC cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL_VEC cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL_VEC Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + + CCTK_REAL_VEC Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; + + CCTK_REAL_VEC Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + + CCTK_REAL_VEC Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; + + CCTK_REAL_VEC Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; + + CCTK_REAL_VEC Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; + + CCTK_REAL_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL_VEC em4phi = INV(e4phi); + + CCTK_REAL_VEC 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_VEC S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + + beta3L*eTxzL)*INV(alphaL); + + CCTK_REAL_VEC S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + + beta3L*eTyzL)*INV(alphaL); + + CCTK_REAL_VEC S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + + beta3L*eTzzL)*INV(alphaL); + + CCTK_REAL_VEC trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu21 + + eTxzL*gtu31 + eTyzL*gtu32) + eTzzL*gtu33); + + CCTK_REAL_VEC phirhsL = epsdiss1*PDdissipationNth1phi + + epsdiss2*PDdissipationNth2phi + epsdiss3*PDdissipationNth3phi + + beta1L*PDupwindNthAnti1phi + beta2L*PDupwindNthAnti2phi + + beta3L*PDupwindNthAnti3phi + PDupwindNthSymm1phi*Abs(beta1L) + + PDupwindNthSymm2phi*Abs(beta2L) + PDupwindNthSymm3phi*Abs(beta3L) + + (PDstandardNth1beta1 + PDstandardNth2beta2 + + PDstandardNth3beta3)*IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); + + CCTK_REAL_VEC gt11rhsL = -2*alphaL*At11L + + epsdiss1*PDdissipationNth1gt11 + epsdiss2*PDdissipationNth2gt11 + + epsdiss3*PDdissipationNth3gt11 + 2*(gt12L*PDstandardNth1beta2 + + gt13L*PDstandardNth1beta3) + gt11L*(kfourthird*PDstandardNth1beta1 - + ktwothird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3) + + beta1L*PDupwindNthAnti1gt11 + beta2L*PDupwindNthAnti2gt11 + + beta3L*PDupwindNthAnti3gt11 + PDupwindNthSymm1gt11*Abs(beta1L) + + PDupwindNthSymm2gt11*Abs(beta2L) + PDupwindNthSymm3gt11*Abs(beta3L); + + CCTK_REAL_VEC gt12rhsL = -2*alphaL*At12L + + epsdiss1*PDdissipationNth1gt12 + epsdiss2*PDdissipationNth2gt12 + + epsdiss3*PDdissipationNth3gt12 + gt22L*PDstandardNth1beta2 + + gt23L*PDstandardNth1beta3 + gt11L*PDstandardNth2beta1 + + gt13L*PDstandardNth2beta3 + gt12L*(kthird*(PDstandardNth1beta1 + + PDstandardNth2beta2) - ktwothird*PDstandardNth3beta3) + + beta1L*PDupwindNthAnti1gt12 + beta2L*PDupwindNthAnti2gt12 + + beta3L*PDupwindNthAnti3gt12 + PDupwindNthSymm1gt12*Abs(beta1L) + + PDupwindNthSymm2gt12*Abs(beta2L) + PDupwindNthSymm3gt12*Abs(beta3L); + + CCTK_REAL_VEC gt13rhsL = -2*alphaL*At13L + + epsdiss1*PDdissipationNth1gt13 + epsdiss2*PDdissipationNth2gt13 + + epsdiss3*PDdissipationNth3gt13 + gt23L*PDstandardNth1beta2 + + gt33L*PDstandardNth1beta3 + gt11L*PDstandardNth3beta1 + + gt12L*PDstandardNth3beta2 + gt13L*(-(ktwothird*PDstandardNth2beta2) + + kthird*(PDstandardNth1beta1 + PDstandardNth3beta3)) + + beta1L*PDupwindNthAnti1gt13 + beta2L*PDupwindNthAnti2gt13 + + beta3L*PDupwindNthAnti3gt13 + PDupwindNthSymm1gt13*Abs(beta1L) + + PDupwindNthSymm2gt13*Abs(beta2L) + PDupwindNthSymm3gt13*Abs(beta3L); + + CCTK_REAL_VEC gt22rhsL = -2*alphaL*At22L + + epsdiss1*PDdissipationNth1gt22 + epsdiss2*PDdissipationNth2gt22 + + epsdiss3*PDdissipationNth3gt22 + 2*(gt12L*PDstandardNth2beta1 + + gt23L*PDstandardNth2beta3) + gt22L*(-(ktwothird*PDstandardNth1beta1) + + kfourthird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3) + + beta1L*PDupwindNthAnti1gt22 + beta2L*PDupwindNthAnti2gt22 + + beta3L*PDupwindNthAnti3gt22 + PDupwindNthSymm1gt22*Abs(beta1L) + + PDupwindNthSymm2gt22*Abs(beta2L) + PDupwindNthSymm3gt22*Abs(beta3L); + + CCTK_REAL_VEC gt23rhsL = -2*alphaL*At23L + + epsdiss1*PDdissipationNth1gt23 + epsdiss2*PDdissipationNth2gt23 + + epsdiss3*PDdissipationNth3gt23 + gt13L*PDstandardNth2beta1 + + gt33L*PDstandardNth2beta3 + gt12L*PDstandardNth3beta1 + + gt22L*PDstandardNth3beta2 + gt23L*(-(ktwothird*PDstandardNth1beta1) + + kthird*(PDstandardNth2beta2 + PDstandardNth3beta3)) + + beta1L*PDupwindNthAnti1gt23 + beta2L*PDupwindNthAnti2gt23 + + beta3L*PDupwindNthAnti3gt23 + PDupwindNthSymm1gt23*Abs(beta1L) + + PDupwindNthSymm2gt23*Abs(beta2L) + PDupwindNthSymm3gt23*Abs(beta3L); + + CCTK_REAL_VEC gt33rhsL = -2*alphaL*At33L + + epsdiss1*PDdissipationNth1gt33 + epsdiss2*PDdissipationNth2gt33 + + epsdiss3*PDdissipationNth3gt33 - gt33L*ktwothird*PDstandardNth1beta1 - + gt33L*ktwothird*PDstandardNth2beta2 + 2*gt13L*PDstandardNth3beta1 + + 2*gt23L*PDstandardNth3beta2 + gt33L*kfourthird*PDstandardNth3beta3 + + beta1L*PDupwindNthAnti1gt33 + beta2L*PDupwindNthAnti2gt33 + + beta3L*PDupwindNthAnti3gt33 + PDupwindNthSymm1gt33*Abs(beta1L) + + PDupwindNthSymm2gt33*Abs(beta2L) + PDupwindNthSymm3gt33*Abs(beta3L); + + CCTK_REAL_VEC dotXt1 = kthird*(7*(gtu21*PDstandardNth12beta1 + + gtu31*PDstandardNth13beta1) + gtu11*(4*PDstandardNth11beta1 + + PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu21*(PDstandardNth22beta2 + PDstandardNth23beta3) + + 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) + + 3*(epsdiss1*PDdissipationNth1Xt1 + epsdiss2*PDdissipationNth2Xt1 + + epsdiss3*PDdissipationNth3Xt1 + gtu22*PDstandardNth22beta1 + + gtu33*PDstandardNth33beta1 + beta1L*PDupwindNthAnti1Xt1 + + beta2L*PDupwindNthAnti2Xt1 + beta3L*PDupwindNthAnti3Xt1 + + PDupwindNthSymm1Xt1*Abs(beta1L) + PDupwindNthSymm2Xt1*Abs(beta2L) + + PDupwindNthSymm3Xt1*Abs(beta3L))); + + CCTK_REAL_VEC dotXt2 = kthird*(gtu21*(PDstandardNth11beta1 + + 7*PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu22*(PDstandardNth12beta1 + 4*PDstandardNth22beta2 + + PDstandardNth23beta3) + 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) + + 3*(epsdiss1*PDdissipationNth1Xt2 + epsdiss2*PDdissipationNth2Xt2 + + epsdiss3*PDdissipationNth3Xt2 + gtu11*PDstandardNth11beta2 + + gtu33*PDstandardNth33beta2 + beta1L*PDupwindNthAnti1Xt2 + + beta2L*PDupwindNthAnti2Xt2 + beta3L*PDupwindNthAnti3Xt2 + + PDupwindNthSymm1Xt2*Abs(beta1L) + PDupwindNthSymm2Xt2*Abs(beta2L) + + PDupwindNthSymm3Xt2*Abs(beta3L))); + + CCTK_REAL_VEC dotXt3 = kthird*(gtu31*(PDstandardNth11beta1 + + PDstandardNth12beta2 + 7*PDstandardNth13beta3) + + 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) + + 3*(epsdiss1*PDdissipationNth1Xt3 + epsdiss2*PDdissipationNth2Xt3 + + epsdiss3*PDdissipationNth3Xt3 + gtu11*PDstandardNth11beta3 + + gtu22*PDstandardNth22beta3 + beta1L*PDupwindNthAnti1Xt3 + + beta2L*PDupwindNthAnti2Xt3 + beta3L*PDupwindNthAnti3Xt3 + + PDupwindNthSymm1Xt3*Abs(beta1L) + PDupwindNthSymm2Xt3*Abs(beta2L) + + PDupwindNthSymm3Xt3*Abs(beta3L))); + + CCTK_REAL_VEC Xt1rhsL = dotXt1; + + CCTK_REAL_VEC Xt2rhsL = dotXt2; + + CCTK_REAL_VEC Xt3rhsL = dotXt3; + + CCTK_REAL_VEC dottrK = epsdiss1*PDdissipationNth1trK + + epsdiss2*PDdissipationNth2trK + epsdiss3*PDdissipationNth3trK + + beta1L*PDupwindNthAnti1trK + beta2L*PDupwindNthAnti2trK + + beta3L*PDupwindNthAnti3trK - em4phi*(gtu11*PDstandardNth11alpha + + gtu22*PDstandardNth22alpha + gtu33*(PDstandardNth33alpha + + 2*cdphi3*PDstandardNth3alpha) + 2*(gtu21*PDstandardNth12alpha + + gtu31*(PDstandardNth13alpha + cdphi1*PDstandardNth3alpha) + + gtu32*(PDstandardNth23alpha + cdphi2*PDstandardNth3alpha)) + + PDstandardNth1alpha*(2*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31) - + Xtn1) + PDstandardNth2alpha*(2*(cdphi1*gtu21 + cdphi2*gtu22 + + cdphi3*gtu32) - Xtn2) - PDstandardNth3alpha*Xtn3) + + PDupwindNthSymm1trK*Abs(beta1L) + PDupwindNthSymm2trK*Abs(beta2L) + + PDupwindNthSymm3trK*Abs(beta3L) + alphaL*(2*(Atm12*Atm21 + Atm13*Atm31 + + Atm23*Atm32) + 12.56637061435917295385057353311801153679*(rho + trS) + + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) + kthird*SQR(trKL)); + + CCTK_REAL_VEC trKrhsL = dottrK; + + CCTK_REAL_VEC alpharhsL = epsdiss1*PDdissipationNth1alpha + + epsdiss2*PDdissipationNth2alpha + epsdiss3*PDdissipationNth3alpha + + LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1alpha + + beta2L*PDupwindNthAnti2alpha + beta3L*PDupwindNthAnti3alpha + + PDupwindNthSymm1alpha*Abs(beta1L) + PDupwindNthSymm2alpha*Abs(beta2L) + + PDupwindNthSymm3alpha*Abs(beta3L)) - harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN); + + CCTK_REAL_VEC ArhsL = (-(AL*AlphaDriver) + dottrK)*LapseACoeff + + epsdiss1*PDdissipationNth1A + epsdiss2*PDdissipationNth2A + + epsdiss3*PDdissipationNth3A + + LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1A + + beta2L*PDupwindNthAnti2A + beta3L*PDupwindNthAnti3A + + PDupwindNthSymm1A*Abs(beta1L) + PDupwindNthSymm2A*Abs(beta2L) + + PDupwindNthSymm3A*Abs(beta3L)); + + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); + + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); + + CCTK_REAL_VEC beta1rhsL = epsdiss1*PDdissipationNth1beta1 + + epsdiss2*PDdissipationNth2beta1 + epsdiss3*PDdissipationNth3beta1 + + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta1 + + beta2L*PDupwindNthAnti2beta1 + beta3L*PDupwindNthAnti3beta1 + + PDupwindNthSymm1beta1*Abs(beta1L) + PDupwindNthSymm2beta1*Abs(beta2L) + + PDupwindNthSymm3beta1*Abs(beta3L)); + + CCTK_REAL_VEC beta2rhsL = epsdiss1*PDdissipationNth1beta2 + + epsdiss2*PDdissipationNth2beta2 + epsdiss3*PDdissipationNth3beta2 + + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta2 + + beta2L*PDupwindNthAnti2beta2 + beta3L*PDupwindNthAnti3beta2 + + PDupwindNthSymm1beta2*Abs(beta1L) + PDupwindNthSymm2beta2*Abs(beta2L) + + PDupwindNthSymm3beta2*Abs(beta3L)); + + CCTK_REAL_VEC beta3rhsL = epsdiss1*PDdissipationNth1beta3 + + epsdiss2*PDdissipationNth2beta3 + epsdiss3*PDdissipationNth3beta3 + + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta3 + + beta2L*PDupwindNthAnti2beta3 + beta3L*PDupwindNthAnti3beta3 + + PDupwindNthSymm1beta3*Abs(beta1L) + PDupwindNthSymm2beta3*Abs(beta2L) + + PDupwindNthSymm3beta3*Abs(beta3L)); + + CCTK_REAL_VEC B1rhsL = epsdiss1*PDdissipationNth1B1 + + epsdiss2*PDdissipationNth2B1 + epsdiss3*PDdissipationNth3B1 + (dotXt1 - + B1L*BetaDriver*eta)*ShiftBCoeff + + ShiftAdvectionCoeff*(beta1L*(PDupwindNthAnti1B1 - PDupwindNthAnti1Xt1) + + beta2L*(PDupwindNthAnti2B1 - PDupwindNthAnti2Xt1) + + beta3L*(PDupwindNthAnti3B1 - PDupwindNthAnti3Xt1) + (PDupwindNthSymm1B1 + - PDupwindNthSymm1Xt1)*Abs(beta1L) + (PDupwindNthSymm2B1 - + PDupwindNthSymm2Xt1)*Abs(beta2L) + (PDupwindNthSymm3B1 - + PDupwindNthSymm3Xt1)*Abs(beta3L)); + + CCTK_REAL_VEC B2rhsL = epsdiss1*PDdissipationNth1B2 + + epsdiss2*PDdissipationNth2B2 + epsdiss3*PDdissipationNth3B2 + (dotXt2 - + B2L*BetaDriver*eta)*ShiftBCoeff + + ShiftAdvectionCoeff*(beta1L*(PDupwindNthAnti1B2 - PDupwindNthAnti1Xt2) + + beta2L*(PDupwindNthAnti2B2 - PDupwindNthAnti2Xt2) + + beta3L*(PDupwindNthAnti3B2 - PDupwindNthAnti3Xt2) + (PDupwindNthSymm1B2 + - PDupwindNthSymm1Xt2)*Abs(beta1L) + (PDupwindNthSymm2B2 - + PDupwindNthSymm2Xt2)*Abs(beta2L) + (PDupwindNthSymm3B2 - + PDupwindNthSymm3Xt2)*Abs(beta3L)); + + CCTK_REAL_VEC B3rhsL = epsdiss1*PDdissipationNth1B3 + + epsdiss2*PDdissipationNth2B3 + epsdiss3*PDdissipationNth3B3 + (dotXt3 - + B3L*BetaDriver*eta)*ShiftBCoeff + + ShiftAdvectionCoeff*(beta1L*(PDupwindNthAnti1B3 - PDupwindNthAnti1Xt3) + + beta2L*(PDupwindNthAnti2B3 - PDupwindNthAnti2Xt3) + + beta3L*(PDupwindNthAnti3B3 - PDupwindNthAnti3Xt3) + (PDupwindNthSymm1B3 + - PDupwindNthSymm1Xt3)*Abs(beta1L) + (PDupwindNthSymm2B3 - + PDupwindNthSymm2Xt3)*Abs(beta2L) + (PDupwindNthSymm3B3 - + PDupwindNthSymm3Xt3)*Abs(beta3L)); + + + /* Copy local copies back to grid functions */ + vec_store_nta(alpharhs[index],alpharhsL); + vec_store_nta(Arhs[index],ArhsL); + vec_store_nta(B1rhs[index],B1rhsL); + vec_store_nta(B2rhs[index],B2rhsL); + vec_store_nta(B3rhs[index],B3rhsL); + vec_store_nta(beta1rhs[index],beta1rhsL); + vec_store_nta(beta2rhs[index],beta2rhsL); + vec_store_nta(beta3rhs[index],beta3rhsL); + vec_store_nta(gt11rhs[index],gt11rhsL); + vec_store_nta(gt12rhs[index],gt12rhsL); + vec_store_nta(gt13rhs[index],gt13rhsL); + vec_store_nta(gt22rhs[index],gt22rhsL); + vec_store_nta(gt23rhs[index],gt23rhsL); + vec_store_nta(gt33rhs[index],gt33rhsL); + vec_store_nta(phirhs[index],phirhsL); + vec_store_nta(trKrhs[index],trKrhsL); + vec_store_nta(Xt1rhs[index],Xt1rhsL); + vec_store_nta(Xt2rhs[index],Xt2rhsL); + vec_store_nta(Xt3rhs[index],Xt3rhsL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_O2_RHS1); +} + +extern "C" void ML_BSSN_O2_RHS1(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_RHS1_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_RHS2.c b/ML_BSSN_O2/src/ML_BSSN_O2_RHS2.c deleted file mode 100644 index 94bf45b..0000000 --- a/ML_BSSN_O2/src/ML_BSSN_O2_RHS2.c +++ /dev/null @@ -1,784 +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_O2_RHS2_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O2_RHS2_Body"); - } - - if (cctk_iteration % ML_BSSN_O2_RHS2_calc_every != ML_BSSN_O2_RHS2_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 p1o2dx = khalf*INV(dx); - CCTK_REAL const p1o2dy = khalf*INV(dy); - CCTK_REAL const p1o2dz = khalf*INV(dz); - CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; - CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; - CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1odx2 = pow(dx,-2); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1ody2 = pow(dy,-2); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const p1odz2 = pow(dz,-2); - CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); - CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); - CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_O2_RHS2, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1alpha = INITVALUE; - // CCTK_REAL PDstandardNth2alpha = INITVALUE; - // CCTK_REAL PDstandardNth3alpha = INITVALUE; - // CCTK_REAL PDstandardNth11alpha = INITVALUE; - // CCTK_REAL PDstandardNth22alpha = INITVALUE; - // CCTK_REAL PDstandardNth33alpha = INITVALUE; - // CCTK_REAL PDstandardNth12alpha = INITVALUE; - // CCTK_REAL PDstandardNth13alpha = INITVALUE; - // CCTK_REAL PDstandardNth23alpha = INITVALUE; - // CCTK_REAL PDstandardNth1beta1 = INITVALUE; - // CCTK_REAL PDstandardNth2beta1 = INITVALUE; - // CCTK_REAL PDstandardNth3beta1 = INITVALUE; - // CCTK_REAL PDstandardNth1beta2 = INITVALUE; - // CCTK_REAL PDstandardNth2beta2 = INITVALUE; - // CCTK_REAL PDstandardNth3beta2 = INITVALUE; - // CCTK_REAL PDstandardNth1beta3 = INITVALUE; - // CCTK_REAL PDstandardNth2beta3 = INITVALUE; - // CCTK_REAL PDstandardNth3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth11phi = INITVALUE; - // CCTK_REAL PDstandardNth22phi = INITVALUE; - // CCTK_REAL PDstandardNth33phi = INITVALUE; - // CCTK_REAL PDstandardNth12phi = INITVALUE; - // CCTK_REAL PDstandardNth13phi = INITVALUE; - // CCTK_REAL PDstandardNth23phi = INITVALUE; - // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; - - /* Assign local copies of 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 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 */ - 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); - CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - 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); - CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - 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 Gtl111 = khalf*PDstandardNth1gt11; - - CCTK_REAL Gtl112 = khalf*PDstandardNth2gt11; - - CCTK_REAL Gtl113 = khalf*PDstandardNth3gt11; - - CCTK_REAL Gtl122 = -(khalf*PDstandardNth1gt22) + PDstandardNth2gt12; - - CCTK_REAL Gtl123 = khalf*(-PDstandardNth1gt23 + PDstandardNth2gt13 + - PDstandardNth3gt12); - - CCTK_REAL Gtl133 = -(khalf*PDstandardNth1gt33) + PDstandardNth3gt13; - - CCTK_REAL Gtl211 = PDstandardNth1gt12 - khalf*PDstandardNth2gt11; - - CCTK_REAL Gtl212 = khalf*PDstandardNth1gt22; - - CCTK_REAL Gtl213 = khalf*(PDstandardNth1gt23 - PDstandardNth2gt13 + - PDstandardNth3gt12); - - CCTK_REAL Gtl222 = khalf*PDstandardNth2gt22; - - CCTK_REAL Gtl223 = khalf*PDstandardNth3gt22; - - CCTK_REAL Gtl233 = -(khalf*PDstandardNth2gt33) + PDstandardNth3gt23; - - CCTK_REAL Gtl311 = PDstandardNth1gt13 - khalf*PDstandardNth3gt11; - - CCTK_REAL Gtl312 = khalf*(PDstandardNth1gt23 + PDstandardNth2gt13 - - PDstandardNth3gt12); - - CCTK_REAL Gtl313 = khalf*PDstandardNth1gt33; - - CCTK_REAL Gtl322 = PDstandardNth2gt23 - khalf*PDstandardNth3gt22; - - CCTK_REAL Gtl323 = khalf*PDstandardNth2gt33; - - CCTK_REAL Gtl333 = khalf*PDstandardNth3gt33; - - CCTK_REAL Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; - - CCTK_REAL Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; - - CCTK_REAL Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; - - CCTK_REAL Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; - - CCTK_REAL Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; - - CCTK_REAL Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; - - CCTK_REAL Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; - - CCTK_REAL Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; - - CCTK_REAL Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; - - CCTK_REAL Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; - - CCTK_REAL Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; - - CCTK_REAL Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; - - CCTK_REAL Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; - - CCTK_REAL Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; - - CCTK_REAL Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; - - CCTK_REAL Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; - - CCTK_REAL Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; - - CCTK_REAL Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; - - CCTK_REAL Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; - - CCTK_REAL Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; - - CCTK_REAL Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; - - CCTK_REAL Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; - - CCTK_REAL Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; - - CCTK_REAL Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; - - CCTK_REAL Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; - - CCTK_REAL Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; - - CCTK_REAL Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; - - CCTK_REAL Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; - - CCTK_REAL Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; - - CCTK_REAL Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; - - CCTK_REAL Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; - - CCTK_REAL Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; - - CCTK_REAL Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; - - CCTK_REAL Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; - - CCTK_REAL Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; - - CCTK_REAL Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; - - CCTK_REAL Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; - - CCTK_REAL Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; - - CCTK_REAL Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; - - CCTK_REAL Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; - - CCTK_REAL Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; - - CCTK_REAL Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; - - CCTK_REAL Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; - - CCTK_REAL Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; - - CCTK_REAL Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; - - 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 = 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 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 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 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 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 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 Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - CCTK_REAL em4phi = INV(e4phi); - - CCTK_REAL g11 = e4phi*gt11L; - - CCTK_REAL g12 = e4phi*gt12L; - - CCTK_REAL g13 = e4phi*gt13L; - - CCTK_REAL g22 = e4phi*gt22L; - - CCTK_REAL g23 = e4phi*gt23L; - - CCTK_REAL g33 = e4phi*gt33L; - - 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 R23 = Rphi23 + Rt23; - - CCTK_REAL R33 = Rphi33 + Rt33; - - CCTK_REAL trS = eTxxL*gu11 + eTyyL*gu22 + 2*(eTxyL*gu21 + eTxzL*gu31 + - eTyzL*gu32) + eTzzL*gu33; - - CCTK_REAL Ats11 = -PDstandardNth11alpha + (4*cdphi1 + - Gt111)*PDstandardNth1alpha + Gt211*PDstandardNth2alpha + - Gt311*PDstandardNth3alpha + alphaL*R11; - - CCTK_REAL Ats12 = -PDstandardNth12alpha + (2*cdphi2 + - Gt112)*PDstandardNth1alpha + (2*cdphi1 + Gt212)*PDstandardNth2alpha + - Gt312*PDstandardNth3alpha + alphaL*R12; - - CCTK_REAL Ats13 = -PDstandardNth13alpha + (2*cdphi3 + - Gt113)*PDstandardNth1alpha + Gt213*PDstandardNth2alpha + (2*cdphi1 + - Gt313)*PDstandardNth3alpha + alphaL*R13; - - CCTK_REAL Ats22 = Gt122*PDstandardNth1alpha - PDstandardNth22alpha + - (4*cdphi2 + Gt222)*PDstandardNth2alpha + Gt322*PDstandardNth3alpha + - alphaL*R22; - - CCTK_REAL Ats23 = Gt123*PDstandardNth1alpha - PDstandardNth23alpha + - (2*cdphi3 + Gt223)*PDstandardNth2alpha + (2*cdphi2 + - Gt323)*PDstandardNth3alpha + alphaL*R23; - - CCTK_REAL Ats33 = Gt133*PDstandardNth1alpha + - Gt233*PDstandardNth2alpha - PDstandardNth33alpha + (4*cdphi3 + - Gt333)*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)); - - - /* Copy local copies back to grid functions */ - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - } - LC_ENDLOOP3 (ML_BSSN_O2_RHS2); -} - -void ML_BSSN_O2_RHS2(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_RHS2_Body); -} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_RHS2.cc b/ML_BSSN_O2/src/ML_BSSN_O2_RHS2.cc new file mode 100644 index 0000000..cc244bc --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_RHS2.cc @@ -0,0 +1,1182 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_O2_RHS2_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O2_RHS2_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_RHS2_calc_every != ML_BSSN_O2_RHS2_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 p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const p1odz2 = pow(dz,-2); + CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); + CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); + CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_O2_RHS2, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDstandardNth1alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; + CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; + CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; + CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; + CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; + CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At11 = PDdissipationNth1(At11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At11 = PDdissipationNth2(At11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At11 = PDdissipationNth3(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At11 = PDupwindNthAnti1(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At11 = PDupwindNthSymm1(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At11 = PDupwindNthAnti2(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At11 = PDupwindNthSymm2(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At11 = PDupwindNthAnti3(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At11 = PDupwindNthSymm3(At11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At12 = PDdissipationNth1(At12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At12 = PDdissipationNth2(At12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At12 = PDdissipationNth3(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At12 = PDupwindNthAnti1(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At12 = PDupwindNthSymm1(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At12 = PDupwindNthAnti2(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At12 = PDupwindNthSymm2(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At12 = PDupwindNthAnti3(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At12 = PDupwindNthSymm3(At12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At13 = PDdissipationNth1(At13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At13 = PDdissipationNth2(At13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At13 = PDdissipationNth3(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At13 = PDupwindNthAnti1(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At13 = PDupwindNthSymm1(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At13 = PDupwindNthAnti2(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At13 = PDupwindNthSymm2(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At13 = PDupwindNthAnti3(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At13 = PDupwindNthSymm3(At13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At22 = PDdissipationNth1(At22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At22 = PDdissipationNth2(At22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At22 = PDdissipationNth3(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At22 = PDupwindNthAnti1(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At22 = PDupwindNthSymm1(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At22 = PDupwindNthAnti2(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At22 = PDupwindNthSymm2(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At22 = PDupwindNthAnti3(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At22 = PDupwindNthSymm3(At22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At23 = PDdissipationNth1(At23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At23 = PDdissipationNth2(At23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At23 = PDdissipationNth3(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At23 = PDupwindNthAnti1(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At23 = PDupwindNthSymm1(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At23 = PDupwindNthAnti2(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At23 = PDupwindNthSymm2(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At23 = PDupwindNthAnti3(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At23 = PDupwindNthSymm3(At23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At33 = PDdissipationNth1(At33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At33 = PDdissipationNth2(At33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At33 = PDdissipationNth3(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At33 = PDupwindNthAnti1(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At33 = PDupwindNthSymm1(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At33 = PDupwindNthAnti2(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At33 = PDupwindNthSymm2(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At33 = PDupwindNthAnti3(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At33 = PDupwindNthSymm3(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC epsdiss1 = EpsDiss; + + CCTK_REAL_VEC epsdiss2 = EpsDiss; + + CCTK_REAL_VEC epsdiss3 = EpsDiss; + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL_VEC Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL_VEC Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL_VEC Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL_VEC cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL_VEC cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL_VEC cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL_VEC fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + + CCTK_REAL_VEC cdphi211 = -(fac1*(-PDstandardNth11phi + + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); + + CCTK_REAL_VEC cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - + fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - + fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - + PDstandardNth22phi + Gt222*PDstandardNth2phi + + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); + + CCTK_REAL_VEC cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - + fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + + Gt233*PDstandardNth2phi - PDstandardNth33phi + + Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); + + CCTK_REAL_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL_VEC em4phi = INV(e4phi); + + CCTK_REAL_VEC g11 = e4phi*gt11L; + + CCTK_REAL_VEC g12 = e4phi*gt12L; + + CCTK_REAL_VEC g13 = e4phi*gt13L; + + CCTK_REAL_VEC g22 = e4phi*gt22L; + + CCTK_REAL_VEC g23 = e4phi*gt23L; + + CCTK_REAL_VEC g33 = e4phi*gt33L; + + CCTK_REAL_VEC gu11 = em4phi*gtu11; + + CCTK_REAL_VEC gu21 = em4phi*gtu21; + + CCTK_REAL_VEC gu31 = em4phi*gtu31; + + CCTK_REAL_VEC gu22 = em4phi*gtu22; + + CCTK_REAL_VEC gu32 = em4phi*gtu32; + + CCTK_REAL_VEC gu33 = em4phi*gtu33; + + CCTK_REAL_VEC R11 = Rphi11 + Rt11; + + CCTK_REAL_VEC R12 = Rphi12 + Rt12; + + CCTK_REAL_VEC R13 = Rphi13 + Rt13; + + CCTK_REAL_VEC R22 = Rphi22 + Rt22; + + CCTK_REAL_VEC R23 = Rphi23 + Rt23; + + CCTK_REAL_VEC R33 = Rphi33 + Rt33; + + CCTK_REAL_VEC trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu21 + + eTxzL*gtu31 + eTyzL*gtu32) + eTzzL*gtu33); + + CCTK_REAL_VEC Ats11 = -PDstandardNth11alpha + (4*cdphi1 + + Gt111)*PDstandardNth1alpha + Gt211*PDstandardNth2alpha + + Gt311*PDstandardNth3alpha + alphaL*R11; + + CCTK_REAL_VEC Ats12 = -PDstandardNth12alpha + (2*cdphi2 + + Gt112)*PDstandardNth1alpha + (2*cdphi1 + Gt212)*PDstandardNth2alpha + + Gt312*PDstandardNth3alpha + alphaL*R12; + + CCTK_REAL_VEC Ats13 = -PDstandardNth13alpha + (2*cdphi3 + + Gt113)*PDstandardNth1alpha + Gt213*PDstandardNth2alpha + (2*cdphi1 + + Gt313)*PDstandardNth3alpha + alphaL*R13; + + CCTK_REAL_VEC Ats22 = Gt122*PDstandardNth1alpha - PDstandardNth22alpha + + (4*cdphi2 + Gt222)*PDstandardNth2alpha + Gt322*PDstandardNth3alpha + + alphaL*R22; + + CCTK_REAL_VEC Ats23 = Gt123*PDstandardNth1alpha - PDstandardNth23alpha + + (2*cdphi3 + Gt223)*PDstandardNth2alpha + (2*cdphi2 + + Gt323)*PDstandardNth3alpha + alphaL*R23; + + CCTK_REAL_VEC Ats33 = Gt133*PDstandardNth1alpha + + Gt233*PDstandardNth2alpha - PDstandardNth33alpha + (4*cdphi3 + + Gt333)*PDstandardNth3alpha + alphaL*R33; + + CCTK_REAL_VEC trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; + + CCTK_REAL_VEC At11rhsL = -2.*alphaL*(At11L*Atm11 + At12L*Atm21 + + At13L*Atm31) + epsdiss1*PDdissipationNth1At11 + + epsdiss2*PDdissipationNth2At11 + epsdiss3*PDdissipationNth3At11 + + 2.*(At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + + beta1L*PDupwindNthAnti1At11 + beta2L*PDupwindNthAnti2At11 + + beta3L*PDupwindNthAnti3At11 + + At11L*(1.333333333333333333333333333333333333333*PDstandardNth1beta1 - + 0.6666666666666666666666666666666666666667*(PDstandardNth2beta2 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats11 - + 0.3333333333333333333333333333333333333333*g11*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxxL + + 8.377580409572781969233715688745341024526*g11*trS)) + + PDupwindNthSymm1At11*Abs(beta1L) + PDupwindNthSymm2At11*Abs(beta2L) + + PDupwindNthSymm3At11*Abs(beta3L); + + CCTK_REAL_VEC At12rhsL = -2.*alphaL*(At11L*Atm12 + At12L*Atm22 + + At13L*Atm32) + epsdiss1*PDdissipationNth1At12 + + epsdiss2*PDdissipationNth2At12 + epsdiss3*PDdissipationNth3At12 + + At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3 + + At11L*PDstandardNth2beta1 + At13L*PDstandardNth2beta3 + + beta1L*PDupwindNthAnti1At12 + beta2L*PDupwindNthAnti2At12 + + beta3L*PDupwindNthAnti3At12 + + At12L*(0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + + PDstandardNth2beta2) - + 0.6666666666666666666666666666666666666667*PDstandardNth3beta3 + + alphaL*trKL) + em4phi*(Ats12 - + 0.3333333333333333333333333333333333333333*g12*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxyL + + 8.377580409572781969233715688745341024526*g12*trS)) + + PDupwindNthSymm1At12*Abs(beta1L) + PDupwindNthSymm2At12*Abs(beta2L) + + PDupwindNthSymm3At12*Abs(beta3L); + + CCTK_REAL_VEC At13rhsL = -2.*alphaL*(At11L*Atm13 + At12L*Atm23 + + At13L*Atm33) + epsdiss1*PDdissipationNth1At13 + + epsdiss2*PDdissipationNth2At13 + epsdiss3*PDdissipationNth3At13 + + At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3 + + At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + + beta1L*PDupwindNthAnti1At13 + beta2L*PDupwindNthAnti2At13 + + beta3L*PDupwindNthAnti3At13 + + At13L*(-0.6666666666666666666666666666666666666667*PDstandardNth2beta2 + + 0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats13 - + 0.3333333333333333333333333333333333333333*g13*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxzL + + 8.377580409572781969233715688745341024526*g13*trS)) + + PDupwindNthSymm1At13*Abs(beta1L) + PDupwindNthSymm2At13*Abs(beta2L) + + PDupwindNthSymm3At13*Abs(beta3L); + + CCTK_REAL_VEC At22rhsL = -2.*alphaL*(At12L*Atm12 + At22L*Atm22 + + At23L*Atm32) + epsdiss1*PDdissipationNth1At22 + + epsdiss2*PDdissipationNth2At22 + epsdiss3*PDdissipationNth3At22 + + 2.*(At12L*PDstandardNth2beta1 + At23L*PDstandardNth2beta3) + + beta1L*PDupwindNthAnti1At22 + beta2L*PDupwindNthAnti2At22 + + beta3L*PDupwindNthAnti3At22 + + At22L*(1.333333333333333333333333333333333333333*PDstandardNth2beta2 - + 0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats22 - + 0.3333333333333333333333333333333333333333*g22*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTyyL + + 8.377580409572781969233715688745341024526*g22*trS)) + + PDupwindNthSymm1At22*Abs(beta1L) + PDupwindNthSymm2At22*Abs(beta2L) + + PDupwindNthSymm3At22*Abs(beta3L); + + CCTK_REAL_VEC At23rhsL = -2.*alphaL*(At12L*Atm13 + At22L*Atm23 + + At23L*Atm33) + epsdiss1*PDdissipationNth1At23 + + epsdiss2*PDdissipationNth2At23 + epsdiss3*PDdissipationNth3At23 + + At13L*PDstandardNth2beta1 + At33L*PDstandardNth2beta3 + + At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + + beta1L*PDupwindNthAnti1At23 + beta2L*PDupwindNthAnti2At23 + + beta3L*PDupwindNthAnti3At23 + + At23L*(-0.6666666666666666666666666666666666666667*PDstandardNth1beta1 + + 0.3333333333333333333333333333333333333333*(PDstandardNth2beta2 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats23 - + 0.3333333333333333333333333333333333333333*g23*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTyzL + + 8.377580409572781969233715688745341024526*g23*trS)) + + PDupwindNthSymm1At23*Abs(beta1L) + PDupwindNthSymm2At23*Abs(beta2L) + + PDupwindNthSymm3At23*Abs(beta3L); + + CCTK_REAL_VEC At33rhsL = -2.*alphaL*(At13L*Atm13 + At23L*Atm23 + + At33L*Atm33) + epsdiss1*PDdissipationNth1At33 + + epsdiss2*PDdissipationNth2At33 + epsdiss3*PDdissipationNth3At33 + + 2.*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2) + + beta1L*PDupwindNthAnti1At33 + beta2L*PDupwindNthAnti2At33 + + beta3L*PDupwindNthAnti3At33 + + At33L*(-0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + + PDstandardNth2beta2) + + 1.333333333333333333333333333333333333333*PDstandardNth3beta3 + + alphaL*trKL) + em4phi*(Ats33 - + 0.3333333333333333333333333333333333333333*g33*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTzzL + + 8.377580409572781969233715688745341024526*g33*trS)) + + PDupwindNthSymm1At33*Abs(beta1L) + PDupwindNthSymm2At33*Abs(beta2L) + + PDupwindNthSymm3At33*Abs(beta3L); + + + /* Copy local copies back to grid functions */ + vec_store_nta(At11rhs[index],At11rhsL); + vec_store_nta(At12rhs[index],At12rhsL); + vec_store_nta(At13rhs[index],At13rhsL); + vec_store_nta(At22rhs[index],At22rhsL); + vec_store_nta(At23rhs[index],At23rhsL); + vec_store_nta(At33rhs[index],At33rhsL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_O2_RHS2); +} + +extern "C" void ML_BSSN_O2_RHS2(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_RHS2_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_RHSRadiativeBoundary.c b/ML_BSSN_O2/src/ML_BSSN_O2_RHSRadiativeBoundary.c deleted file mode 100644 index 8ff1347..0000000 --- a/ML_BSSN_O2/src/ML_BSSN_O2_RHSRadiativeBoundary.c +++ /dev/null @@ -1,292 +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_O2_RHSRadiativeBoundary_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O2_RHSRadiativeBoundary_Body"); - } - - if (cctk_iteration % ML_BSSN_O2_RHSRadiativeBoundary_calc_every != ML_BSSN_O2_RHSRadiativeBoundary_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 p1o2dx = khalf*INV(dx); - CCTK_REAL const p1o2dy = khalf*INV(dy); - CCTK_REAL const p1o2dz = khalf*INV(dz); - CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; - CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; - CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1odx2 = pow(dx,-2); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1ody2 = pow(dy,-2); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const p1odz2 = pow(dz,-2); - CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); - CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); - CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_O2_RHSRadiativeBoundary, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of 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 */ - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(normal[0]); - - int dir2 = Sign(normal[1]); - - int dir3 = Sign(normal[2]); - - CCTK_REAL detgt = 1; - - 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 em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - - 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 nn1 = normal[0]; - - CCTK_REAL nn2 = normal[1]; - - CCTK_REAL nn3 = normal[2]; - - CCTK_REAL nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; - - CCTK_REAL nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; - - CCTK_REAL nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; - - CCTK_REAL nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; - - CCTK_REAL nlen = pow(nlen2,0.5); - - CCTK_REAL su1 = nu1*INV(nlen); - - CCTK_REAL su2 = nu2*INV(nlen); - - CCTK_REAL su3 = nu3*INV(nlen); - - CCTK_REAL vg = pow(harmonicF,0.5); - - CCTK_REAL phirhsL = -((PDonesided1(phi, i, j, k)*su1 + - PDonesided2(phi, i, j, k)*su2 + PDonesided3(phi, i, j, k)*su3)*vg); - - CCTK_REAL gt11rhsL = -(PDonesided1(gt11, i, j, k)*su1) - - PDonesided2(gt11, i, j, k)*su2 - PDonesided3(gt11, 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 gt13rhsL = -(PDonesided1(gt13, i, j, k)*su1) - - PDonesided2(gt13, i, j, k)*su2 - PDonesided3(gt13, 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 gt23rhsL = -(PDonesided1(gt23, i, j, k)*su1) - - PDonesided2(gt23, i, j, k)*su2 - PDonesided3(gt23, 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 trKrhsL = -((PDonesided1(trK, i, j, k)*su1 + - PDonesided2(trK, i, j, k)*su2 + PDonesided3(trK, i, j, k)*su3)*vg); - - CCTK_REAL At11rhsL = -(PDonesided1(At11, i, j, k)*su1) - - PDonesided2(At11, i, j, k)*su2 - PDonesided3(At11, 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 At13rhsL = -(PDonesided1(At13, i, j, k)*su1) - - PDonesided2(At13, i, j, k)*su2 - PDonesided3(At13, 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 At23rhsL = -(PDonesided1(At23, i, j, k)*su1) - - PDonesided2(At23, i, j, k)*su2 - PDonesided3(At23, 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 Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*su1) - - PDonesided2(Xt1, i, j, k)*su2 - PDonesided3(Xt1, 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 Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*su1) - - PDonesided2(Xt3, i, j, k)*su2 - PDonesided3(Xt3, i, j, k)*su3; - - CCTK_REAL alpharhsL = -((PDonesided1(alpha, i, j, k)*su1 + - PDonesided2(alpha, i, j, k)*su2 + PDonesided3(alpha, 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 beta1rhsL = -(PDonesided1(beta1, i, j, k)*su1) - - PDonesided2(beta1, i, j, k)*su2 - PDonesided3(beta1, 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 beta3rhsL = -(PDonesided1(beta3, i, j, k)*su1) - - PDonesided2(beta3, i, j, k)*su2 - PDonesided3(beta3, 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 B2rhsL = -(PDonesided1(B2, i, j, k)*su1) - - PDonesided2(B2, i, j, k)*su2 - PDonesided3(B2, 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 */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - } - LC_ENDLOOP3 (ML_BSSN_O2_RHSRadiativeBoundary); -} - -void ML_BSSN_O2_RHSRadiativeBoundary(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverBoundary(cctkGH, &ML_BSSN_O2_RHSRadiativeBoundary_Body); -} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_RHSRadiativeBoundary.cc b/ML_BSSN_O2/src/ML_BSSN_O2_RHSRadiativeBoundary.cc new file mode 100644 index 0000000..a69b274 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_RHSRadiativeBoundary.cc @@ -0,0 +1,303 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_O2_RHSRadiativeBoundary_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O2_RHSRadiativeBoundary_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_RHSRadiativeBoundary_calc_every != ML_BSSN_O2_RHSRadiativeBoundary_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 p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const p1odz2 = pow(dz,-2); + CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); + CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); + CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_O2_RHSRadiativeBoundary, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(normal[0]); + + int dir2 = Sign(normal[1]); + + int dir3 = Sign(normal[2]); + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + + CCTK_REAL_VEC gu11 = em4phi*gtu11; + + CCTK_REAL_VEC gu21 = em4phi*gtu21; + + CCTK_REAL_VEC gu31 = em4phi*gtu31; + + CCTK_REAL_VEC gu22 = em4phi*gtu22; + + CCTK_REAL_VEC gu32 = em4phi*gtu32; + + CCTK_REAL_VEC gu33 = em4phi*gtu33; + + CCTK_REAL_VEC nn1 = normal[0]; + + CCTK_REAL_VEC nn2 = normal[1]; + + CCTK_REAL_VEC nn3 = normal[2]; + + CCTK_REAL_VEC nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; + + CCTK_REAL_VEC nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; + + CCTK_REAL_VEC nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; + + CCTK_REAL_VEC nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; + + CCTK_REAL_VEC nlen = pow(nlen2,0.5); + + CCTK_REAL_VEC su1 = nu1*INV(nlen); + + CCTK_REAL_VEC su2 = nu2*INV(nlen); + + CCTK_REAL_VEC su3 = nu3*INV(nlen); + + CCTK_REAL_VEC vg = pow(harmonicF,0.5); + + CCTK_REAL_VEC phirhsL = -((PDonesided1(phi, i, j, k)*su1 + + PDonesided2(phi, i, j, k)*su2 + PDonesided3(phi, i, j, k)*su3)*vg); + + CCTK_REAL_VEC gt11rhsL = -(PDonesided1(gt11, i, j, k)*su1) - + PDonesided2(gt11, i, j, k)*su2 - PDonesided3(gt11, i, j, k)*su3; + + CCTK_REAL_VEC gt12rhsL = -(PDonesided1(gt12, i, j, k)*su1) - + PDonesided2(gt12, i, j, k)*su2 - PDonesided3(gt12, i, j, k)*su3; + + CCTK_REAL_VEC gt13rhsL = -(PDonesided1(gt13, i, j, k)*su1) - + PDonesided2(gt13, i, j, k)*su2 - PDonesided3(gt13, i, j, k)*su3; + + CCTK_REAL_VEC gt22rhsL = -(PDonesided1(gt22, i, j, k)*su1) - + PDonesided2(gt22, i, j, k)*su2 - PDonesided3(gt22, i, j, k)*su3; + + CCTK_REAL_VEC gt23rhsL = -(PDonesided1(gt23, i, j, k)*su1) - + PDonesided2(gt23, i, j, k)*su2 - PDonesided3(gt23, i, j, k)*su3; + + CCTK_REAL_VEC gt33rhsL = -(PDonesided1(gt33, i, j, k)*su1) - + PDonesided2(gt33, i, j, k)*su2 - PDonesided3(gt33, i, j, k)*su3; + + CCTK_REAL_VEC trKrhsL = -((PDonesided1(trK, i, j, k)*su1 + + PDonesided2(trK, i, j, k)*su2 + PDonesided3(trK, i, j, k)*su3)*vg); + + CCTK_REAL_VEC At11rhsL = -(PDonesided1(At11, i, j, k)*su1) - + PDonesided2(At11, i, j, k)*su2 - PDonesided3(At11, i, j, k)*su3; + + CCTK_REAL_VEC At12rhsL = -(PDonesided1(At12, i, j, k)*su1) - + PDonesided2(At12, i, j, k)*su2 - PDonesided3(At12, i, j, k)*su3; + + CCTK_REAL_VEC At13rhsL = -(PDonesided1(At13, i, j, k)*su1) - + PDonesided2(At13, i, j, k)*su2 - PDonesided3(At13, i, j, k)*su3; + + CCTK_REAL_VEC At22rhsL = -(PDonesided1(At22, i, j, k)*su1) - + PDonesided2(At22, i, j, k)*su2 - PDonesided3(At22, i, j, k)*su3; + + CCTK_REAL_VEC At23rhsL = -(PDonesided1(At23, i, j, k)*su1) - + PDonesided2(At23, i, j, k)*su2 - PDonesided3(At23, i, j, k)*su3; + + CCTK_REAL_VEC At33rhsL = -(PDonesided1(At33, i, j, k)*su1) - + PDonesided2(At33, i, j, k)*su2 - PDonesided3(At33, i, j, k)*su3; + + CCTK_REAL_VEC Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*su1) - + PDonesided2(Xt1, i, j, k)*su2 - PDonesided3(Xt1, i, j, k)*su3; + + CCTK_REAL_VEC Xt2rhsL = -(PDonesided1(Xt2, i, j, k)*su1) - + PDonesided2(Xt2, i, j, k)*su2 - PDonesided3(Xt2, i, j, k)*su3; + + CCTK_REAL_VEC Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*su1) - + PDonesided2(Xt3, i, j, k)*su2 - PDonesided3(Xt3, i, j, k)*su3; + + CCTK_REAL_VEC alpharhsL = -((PDonesided1(alpha, i, j, k)*su1 + + PDonesided2(alpha, i, j, k)*su2 + PDonesided3(alpha, i, j, + k)*su3)*vg); + + CCTK_REAL_VEC ArhsL = -((PDonesided1(A, i, j, k)*su1 + + PDonesided2(A, i, j, k)*su2 + PDonesided3(A, i, j, k)*su3)*vg); + + CCTK_REAL_VEC beta1rhsL = -(PDonesided1(beta1, i, j, k)*su1) - + PDonesided2(beta1, i, j, k)*su2 - PDonesided3(beta1, i, j, k)*su3; + + CCTK_REAL_VEC beta2rhsL = -(PDonesided1(beta2, i, j, k)*su1) - + PDonesided2(beta2, i, j, k)*su2 - PDonesided3(beta2, i, j, k)*su3; + + CCTK_REAL_VEC beta3rhsL = -(PDonesided1(beta3, i, j, k)*su1) - + PDonesided2(beta3, i, j, k)*su2 - PDonesided3(beta3, i, j, k)*su3; + + CCTK_REAL_VEC B1rhsL = -(PDonesided1(B1, i, j, k)*su1) - + PDonesided2(B1, i, j, k)*su2 - PDonesided3(B1, i, j, k)*su3; + + CCTK_REAL_VEC B2rhsL = -(PDonesided1(B2, i, j, k)*su1) - + PDonesided2(B2, i, j, k)*su2 - PDonesided3(B2, i, j, k)*su3; + + CCTK_REAL_VEC 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 */ + vec_store_nta(alpharhs[index],alpharhsL); + vec_store_nta(Arhs[index],ArhsL); + vec_store_nta(At11rhs[index],At11rhsL); + vec_store_nta(At12rhs[index],At12rhsL); + vec_store_nta(At13rhs[index],At13rhsL); + vec_store_nta(At22rhs[index],At22rhsL); + vec_store_nta(At23rhs[index],At23rhsL); + vec_store_nta(At33rhs[index],At33rhsL); + vec_store_nta(B1rhs[index],B1rhsL); + vec_store_nta(B2rhs[index],B2rhsL); + vec_store_nta(B3rhs[index],B3rhsL); + vec_store_nta(beta1rhs[index],beta1rhsL); + vec_store_nta(beta2rhs[index],beta2rhsL); + vec_store_nta(beta3rhs[index],beta3rhsL); + vec_store_nta(gt11rhs[index],gt11rhsL); + vec_store_nta(gt12rhs[index],gt12rhsL); + vec_store_nta(gt13rhs[index],gt13rhsL); + vec_store_nta(gt22rhs[index],gt22rhsL); + vec_store_nta(gt23rhs[index],gt23rhsL); + vec_store_nta(gt33rhs[index],gt33rhsL); + vec_store_nta(phirhs[index],phirhsL); + vec_store_nta(trKrhs[index],trKrhsL); + vec_store_nta(Xt1rhs[index],Xt1rhsL); + vec_store_nta(Xt2rhs[index],Xt2rhsL); + vec_store_nta(Xt3rhs[index],Xt3rhsL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_O2_RHSRadiativeBoundary); +} + +extern "C" void ML_BSSN_O2_RHSRadiativeBoundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundary(cctkGH, &ML_BSSN_O2_RHSRadiativeBoundary_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_RHSStaticBoundary.c b/ML_BSSN_O2/src/ML_BSSN_O2_RHSStaticBoundary.cc index 5d47a03..ea4b2e0 100644 --- a/ML_BSSN_O2/src/ML_BSSN_O2_RHSStaticBoundary.c +++ b/ML_BSSN_O2/src/ML_BSSN_O2_RHSStaticBoundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O2_RHSStaticBoundary_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[]) +static void ML_BSSN_O2_RHSStaticBoundary_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; @@ -60,12 +61,18 @@ void ML_BSSN_O2_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int co CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; CCTK_REAL const p1o2dx = khalf*INV(dx); CCTK_REAL const p1o2dy = khalf*INV(dy); CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1odx2 = pow(dx,-2); CCTK_REAL const p1ody = INV(dy); @@ -75,6 +82,9 @@ void ML_BSSN_O2_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int co CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; /* Loop over the grid points */ #pragma omp parallel @@ -93,88 +103,89 @@ void ML_BSSN_O2_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int co /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL phirhsL = 0; + CCTK_REAL_VEC phirhsL = 0; - CCTK_REAL gt11rhsL = 0; + CCTK_REAL_VEC gt11rhsL = 0; - CCTK_REAL gt12rhsL = 0; + CCTK_REAL_VEC gt12rhsL = 0; - CCTK_REAL gt13rhsL = 0; + CCTK_REAL_VEC gt13rhsL = 0; - CCTK_REAL gt22rhsL = 0; + CCTK_REAL_VEC gt22rhsL = 0; - CCTK_REAL gt23rhsL = 0; + CCTK_REAL_VEC gt23rhsL = 0; - CCTK_REAL gt33rhsL = 0; + CCTK_REAL_VEC gt33rhsL = 0; - CCTK_REAL trKrhsL = 0; + CCTK_REAL_VEC trKrhsL = 0; - CCTK_REAL At11rhsL = 0; + CCTK_REAL_VEC At11rhsL = 0; - CCTK_REAL At12rhsL = 0; + CCTK_REAL_VEC At12rhsL = 0; - CCTK_REAL At13rhsL = 0; + CCTK_REAL_VEC At13rhsL = 0; - CCTK_REAL At22rhsL = 0; + CCTK_REAL_VEC At22rhsL = 0; - CCTK_REAL At23rhsL = 0; + CCTK_REAL_VEC At23rhsL = 0; - CCTK_REAL At33rhsL = 0; + CCTK_REAL_VEC At33rhsL = 0; - CCTK_REAL Xt1rhsL = 0; + CCTK_REAL_VEC Xt1rhsL = 0; - CCTK_REAL Xt2rhsL = 0; + CCTK_REAL_VEC Xt2rhsL = 0; - CCTK_REAL Xt3rhsL = 0; + CCTK_REAL_VEC Xt3rhsL = 0; - CCTK_REAL alpharhsL = 0; + CCTK_REAL_VEC alpharhsL = 0; - CCTK_REAL ArhsL = 0; + CCTK_REAL_VEC ArhsL = 0; - CCTK_REAL beta1rhsL = 0; + CCTK_REAL_VEC beta1rhsL = 0; - CCTK_REAL beta2rhsL = 0; + CCTK_REAL_VEC beta2rhsL = 0; - CCTK_REAL beta3rhsL = 0; + CCTK_REAL_VEC beta3rhsL = 0; - CCTK_REAL B1rhsL = 0; + CCTK_REAL_VEC B1rhsL = 0; - CCTK_REAL B2rhsL = 0; + CCTK_REAL_VEC B2rhsL = 0; - CCTK_REAL B3rhsL = 0; + CCTK_REAL_VEC B3rhsL = 0; /* Copy local copies back to grid functions */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; + vec_store_nta(alpharhs[index],alpharhsL); + vec_store_nta(Arhs[index],ArhsL); + vec_store_nta(At11rhs[index],At11rhsL); + vec_store_nta(At12rhs[index],At12rhsL); + vec_store_nta(At13rhs[index],At13rhsL); + vec_store_nta(At22rhs[index],At22rhsL); + vec_store_nta(At23rhs[index],At23rhsL); + vec_store_nta(At33rhs[index],At33rhsL); + vec_store_nta(B1rhs[index],B1rhsL); + vec_store_nta(B2rhs[index],B2rhsL); + vec_store_nta(B3rhs[index],B3rhsL); + vec_store_nta(beta1rhs[index],beta1rhsL); + vec_store_nta(beta2rhs[index],beta2rhsL); + vec_store_nta(beta3rhs[index],beta3rhsL); + vec_store_nta(gt11rhs[index],gt11rhsL); + vec_store_nta(gt12rhs[index],gt12rhsL); + vec_store_nta(gt13rhs[index],gt13rhsL); + vec_store_nta(gt22rhs[index],gt22rhsL); + vec_store_nta(gt23rhs[index],gt23rhsL); + vec_store_nta(gt33rhs[index],gt33rhsL); + vec_store_nta(phirhs[index],phirhsL); + vec_store_nta(trKrhs[index],trKrhsL); + vec_store_nta(Xt1rhs[index],Xt1rhsL); + vec_store_nta(Xt2rhs[index],Xt2rhsL); + vec_store_nta(Xt3rhs[index],Xt3rhsL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O2_RHSStaticBoundary); } -void ML_BSSN_O2_RHSStaticBoundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O2_RHSStaticBoundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_boundary.c b/ML_BSSN_O2/src/ML_BSSN_O2_boundary.cc index 3e21bc0..ca8b408 100644 --- a/ML_BSSN_O2/src/ML_BSSN_O2_boundary.c +++ b/ML_BSSN_O2/src/ML_BSSN_O2_boundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O2_boundary_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[]) +static void ML_BSSN_O2_boundary_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; @@ -60,12 +61,18 @@ void ML_BSSN_O2_boundary_Body(cGH const * restrict const cctkGH, int const dir, CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; CCTK_REAL const p1o2dx = khalf*INV(dx); CCTK_REAL const p1o2dy = khalf*INV(dy); CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1odx2 = pow(dx,-2); CCTK_REAL const p1ody = INV(dy); @@ -75,6 +82,9 @@ void ML_BSSN_O2_boundary_Body(cGH const * restrict const cctkGH, int const dir, CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; /* Loop over the grid points */ #pragma omp parallel @@ -93,88 +103,89 @@ void ML_BSSN_O2_boundary_Body(cGH const * restrict const cctkGH, int const dir, /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL phiL = IfThen(conformalMethod,1,0); + CCTK_REAL_VEC phiL = IfThen(conformalMethod,1,0); - CCTK_REAL gt11L = 1; + CCTK_REAL_VEC gt11L = 1; - CCTK_REAL gt12L = 0; + CCTK_REAL_VEC gt12L = 0; - CCTK_REAL gt13L = 0; + CCTK_REAL_VEC gt13L = 0; - CCTK_REAL gt22L = 1; + CCTK_REAL_VEC gt22L = 1; - CCTK_REAL gt23L = 0; + CCTK_REAL_VEC gt23L = 0; - CCTK_REAL gt33L = 1; + CCTK_REAL_VEC gt33L = 1; - CCTK_REAL trKL = 0; + CCTK_REAL_VEC trKL = 0; - CCTK_REAL At11L = 0; + CCTK_REAL_VEC At11L = 0; - CCTK_REAL At12L = 0; + CCTK_REAL_VEC At12L = 0; - CCTK_REAL At13L = 0; + CCTK_REAL_VEC At13L = 0; - CCTK_REAL At22L = 0; + CCTK_REAL_VEC At22L = 0; - CCTK_REAL At23L = 0; + CCTK_REAL_VEC At23L = 0; - CCTK_REAL At33L = 0; + CCTK_REAL_VEC At33L = 0; - CCTK_REAL Xt1L = 0; + CCTK_REAL_VEC Xt1L = 0; - CCTK_REAL Xt2L = 0; + CCTK_REAL_VEC Xt2L = 0; - CCTK_REAL Xt3L = 0; + CCTK_REAL_VEC Xt3L = 0; - CCTK_REAL alphaL = 1; + CCTK_REAL_VEC alphaL = 1; - CCTK_REAL AL = 0; + CCTK_REAL_VEC AL = 0; - CCTK_REAL beta1L = 0; + CCTK_REAL_VEC beta1L = 0; - CCTK_REAL beta2L = 0; + CCTK_REAL_VEC beta2L = 0; - CCTK_REAL beta3L = 0; + CCTK_REAL_VEC beta3L = 0; - CCTK_REAL B1L = 0; + CCTK_REAL_VEC B1L = 0; - CCTK_REAL B2L = 0; + CCTK_REAL_VEC B2L = 0; - CCTK_REAL B3L = 0; + CCTK_REAL_VEC B3L = 0; /* Copy local copies back to grid functions */ - A[index] = AL; - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; + vec_store_nta(A[index],AL); + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + vec_store_nta(B1[index],B1L); + vec_store_nta(B2[index],B2L); + vec_store_nta(B3[index],B3L); + vec_store_nta(beta1[index],beta1L); + vec_store_nta(beta2[index],beta2L); + vec_store_nta(beta3[index],beta3L); + vec_store_nta(gt11[index],gt11L); + vec_store_nta(gt12[index],gt12L); + vec_store_nta(gt13[index],gt13L); + vec_store_nta(gt22[index],gt22L); + vec_store_nta(gt23[index],gt23L); + vec_store_nta(gt33[index],gt33L); + vec_store_nta(phi[index],phiL); + vec_store_nta(trK[index],trKL); + vec_store_nta(Xt1[index],Xt1L); + vec_store_nta(Xt2[index],Xt2L); + vec_store_nta(Xt3[index],Xt3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O2_boundary); } -void ML_BSSN_O2_boundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O2_boundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_constraints.c b/ML_BSSN_O2/src/ML_BSSN_O2_constraints.cc index 33d0638..b2c23f7 100644 --- a/ML_BSSN_O2/src/ML_BSSN_O2_constraints.c +++ b/ML_BSSN_O2/src/ML_BSSN_O2_constraints.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O2_constraints_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[]) +static void ML_BSSN_O2_constraints_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; @@ -60,12 +61,18 @@ void ML_BSSN_O2_constraints_Body(cGH const * restrict const cctkGH, int const di CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; CCTK_REAL const p1o2dx = khalf*INV(dx); CCTK_REAL const p1o2dy = khalf*INV(dy); CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1odx2 = pow(dx,-2); CCTK_REAL const p1ody = INV(dy); @@ -75,6 +82,9 @@ void ML_BSSN_O2_constraints_Body(cGH const * restrict const cctkGH, int const di CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; /* Loop over the grid points */ #pragma omp parallel @@ -85,318 +95,318 @@ void ML_BSSN_O2_constraints_Body(cGH const * restrict const cctkGH, int const di // int index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); /* Declare derivatives */ - // CCTK_REAL PDstandardNth1At11 = INITVALUE; - // CCTK_REAL PDstandardNth2At11 = INITVALUE; - // CCTK_REAL PDstandardNth3At11 = INITVALUE; - // CCTK_REAL PDstandardNth1At12 = INITVALUE; - // CCTK_REAL PDstandardNth2At12 = INITVALUE; - // CCTK_REAL PDstandardNth3At12 = INITVALUE; - // CCTK_REAL PDstandardNth1At13 = INITVALUE; - // CCTK_REAL PDstandardNth2At13 = INITVALUE; - // CCTK_REAL PDstandardNth3At13 = INITVALUE; - // CCTK_REAL PDstandardNth1At22 = INITVALUE; - // CCTK_REAL PDstandardNth2At22 = INITVALUE; - // CCTK_REAL PDstandardNth3At22 = INITVALUE; - // CCTK_REAL PDstandardNth1At23 = INITVALUE; - // CCTK_REAL PDstandardNth2At23 = INITVALUE; - // CCTK_REAL PDstandardNth3At23 = INITVALUE; - // CCTK_REAL PDstandardNth1At33 = INITVALUE; - // CCTK_REAL PDstandardNth2At33 = INITVALUE; - // CCTK_REAL PDstandardNth3At33 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth11phi = INITVALUE; - // CCTK_REAL PDstandardNth22phi = INITVALUE; - // CCTK_REAL PDstandardNth33phi = INITVALUE; - // CCTK_REAL PDstandardNth12phi = INITVALUE; - // CCTK_REAL PDstandardNth13phi = INITVALUE; - // CCTK_REAL PDstandardNth23phi = INITVALUE; - // CCTK_REAL PDstandardNth1trK = INITVALUE; - // CCTK_REAL PDstandardNth2trK = INITVALUE; - // CCTK_REAL PDstandardNth3trK = INITVALUE; - // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt3 = INITVALUE; /* Assign local copies of 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]; + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC eTttL = (*stress_energy_state) ? vec_load(eTtt[index]) : 0.0; + CCTK_REAL_VEC eTtxL = (*stress_energy_state) ? vec_load(eTtx[index]) : 0.0; + CCTK_REAL_VEC eTtyL = (*stress_energy_state) ? vec_load(eTty[index]) : 0.0; + CCTK_REAL_VEC eTtzL = (*stress_energy_state) ? vec_load(eTtz[index]) : 0.0; + CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; + CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; + CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; + CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; + CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; + CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); /* Include user supplied include files */ /* 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); - CCTK_REAL const PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); - CCTK_REAL const PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); - CCTK_REAL const PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); - CCTK_REAL const PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); - CCTK_REAL const PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); - CCTK_REAL const PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); - CCTK_REAL const PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); - CCTK_REAL const PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); - CCTK_REAL const PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); - CCTK_REAL const PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); - CCTK_REAL const PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); - CCTK_REAL const PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); - CCTK_REAL const PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); - CCTK_REAL const PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); - CCTK_REAL const PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); - 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); - CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At11 = PDstandardNth1(At11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At11 = PDstandardNth2(At11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At11 = PDstandardNth3(At11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); /* Calculate temporaries and grid functions */ - CCTK_REAL detgt = 1; + CCTK_REAL_VEC detgt = 1; - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - CCTK_REAL Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); - CCTK_REAL Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); - CCTK_REAL Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + CCTK_REAL_VEC Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + CCTK_REAL_VEC Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + CCTK_REAL_VEC Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + CCTK_REAL_VEC Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + CCTK_REAL_VEC Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + CCTK_REAL_VEC Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + CCTK_REAL_VEC Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu21*PDstandardNth3gt22); - CCTK_REAL Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + CCTK_REAL_VEC Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu22*PDstandardNth3gt22); - CCTK_REAL Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + CCTK_REAL_VEC Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu32*PDstandardNth3gt22); - CCTK_REAL Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + CCTK_REAL_VEC Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - CCTK_REAL Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + CCTK_REAL_VEC Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - CCTK_REAL Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + CCTK_REAL_VEC Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - CCTK_REAL Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + + CCTK_REAL_VEC 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 @@ -447,7 +457,7 @@ void ML_BSSN_O2_constraints_Body(cGH const * restrict const cctkGH, int const di gt33L*gtu22*SQR(Gt312) + 2*gt13L*gtu31*SQR(Gt313) + gt33L*gtu33*SQR(Gt313); - CCTK_REAL Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - + CCTK_REAL_VEC Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - @@ -520,7 +530,7 @@ void ML_BSSN_O2_constraints_Body(cGH const * restrict const cctkGH, int const di gt13L*Gt323) + gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); - CCTK_REAL Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - + CCTK_REAL_VEC Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - @@ -595,15 +605,15 @@ void ML_BSSN_O2_constraints_Body(cGH const * restrict const cctkGH, int const di 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) - + CCTK_REAL_VEC 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 + @@ -644,7 +654,7 @@ void ML_BSSN_O2_constraints_Body(cGH const * restrict const cctkGH, int const di gt33L*gtu11*SQR(Gt312) + gt33L*gtu22*SQR(Gt322) + 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); - CCTK_REAL Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - + CCTK_REAL_VEC Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + @@ -723,199 +733,200 @@ void ML_BSSN_O2_constraints_Body(cGH const * restrict const cctkGH, int const di 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 + + CCTK_REAL_VEC 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_VEC fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL_VEC cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL_VEC cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL_VEC cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL_VEC fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + + CCTK_REAL_VEC cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); - CCTK_REAL cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - + CCTK_REAL_VEC cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); - CCTK_REAL cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - + CCTK_REAL_VEC cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); - CCTK_REAL cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - + CCTK_REAL_VEC cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); - CCTK_REAL cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - + CCTK_REAL_VEC cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); - CCTK_REAL cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + + CCTK_REAL_VEC 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) + + CCTK_REAL_VEC 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_VEC 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 + + CCTK_REAL_VEC 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)) + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - CCTK_REAL em4phi = INV(e4phi); + CCTK_REAL_VEC em4phi = INV(e4phi); - CCTK_REAL gu11 = em4phi*gtu11; + CCTK_REAL_VEC gu11 = em4phi*gtu11; - CCTK_REAL gu21 = em4phi*gtu21; + CCTK_REAL_VEC gu21 = em4phi*gtu21; - CCTK_REAL gu31 = em4phi*gtu31; + CCTK_REAL_VEC gu31 = em4phi*gtu31; - CCTK_REAL gu22 = em4phi*gtu22; + CCTK_REAL_VEC gu22 = em4phi*gtu22; - CCTK_REAL gu32 = em4phi*gtu32; + CCTK_REAL_VEC gu32 = em4phi*gtu32; - CCTK_REAL gu33 = em4phi*gtu33; + CCTK_REAL_VEC gu33 = em4phi*gtu33; - CCTK_REAL R11 = Rphi11 + Rt11; + CCTK_REAL_VEC R11 = Rphi11 + Rt11; - CCTK_REAL R12 = Rphi12 + Rt12; + CCTK_REAL_VEC R12 = Rphi12 + Rt12; - CCTK_REAL R13 = Rphi13 + Rt13; + CCTK_REAL_VEC R13 = Rphi13 + Rt13; - CCTK_REAL R22 = Rphi22 + Rt22; + CCTK_REAL_VEC R22 = Rphi22 + Rt22; - CCTK_REAL R23 = Rphi23 + Rt23; + CCTK_REAL_VEC R23 = Rphi23 + Rt23; - CCTK_REAL R33 = Rphi33 + Rt33; + CCTK_REAL_VEC R33 = Rphi33 + Rt33; - CCTK_REAL trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + + CCTK_REAL_VEC trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; - CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + CCTK_REAL_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - CCTK_REAL rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + + CCTK_REAL_VEC 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 S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + + CCTK_REAL_VEC S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + beta3L*eTxzL)*INV(alphaL); - CCTK_REAL S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + + CCTK_REAL_VEC S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + beta3L*eTyzL)*INV(alphaL); - CCTK_REAL S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + + CCTK_REAL_VEC S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + beta3L*eTzzL)*INV(alphaL); - CCTK_REAL HL = -2.*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) - + CCTK_REAL_VEC 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 M1L = -2.*((At12L*Gt211 + At13L*Gt311)*gtu11 + + CCTK_REAL_VEC 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 + @@ -933,17 +944,17 @@ void ML_BSSN_O2_constraints_Body(cGH const * restrict const cctkGH, int const di gtu33*(-1.*(At23L*Gt213 + At33L*Gt313) + At13L*(6.*cdphi3 - 1.*Gt333) + PDstandardNth3At13) - 25.13274122871834590770114706623602307358*S1; - 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 - + CCTK_REAL_VEC 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 + @@ -952,7 +963,7 @@ void ML_BSSN_O2_constraints_Body(cGH const * restrict const cctkGH, int const di PDstandardNth3At22) + gtu33*PDstandardNth3At23 - 25.13274122871834590770114706623602307358*S2; - CCTK_REAL M3L = -1.*((At11L*Gt113 + At23L*Gt211 + At12L*Gt213 + + CCTK_REAL_VEC 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 + @@ -970,36 +981,37 @@ void ML_BSSN_O2_constraints_Body(cGH const * restrict const cctkGH, int const di 0.6666666666666666666666666666666666666667*PDstandardNth3trK - 25.13274122871834590770114706623602307358*S3; - CCTK_REAL cSL = Log(detgt); + CCTK_REAL_VEC cSL = Log(detgt); - CCTK_REAL cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; /* 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; + vec_store_nta(cA[index],cAL); + vec_store_nta(cS[index],cSL); + vec_store_nta(cXt1[index],cXt1L); + vec_store_nta(cXt2[index],cXt2L); + vec_store_nta(cXt3[index],cXt3L); + vec_store_nta(H[index],HL); + vec_store_nta(M1[index],M1L); + vec_store_nta(M2[index],M2L); + vec_store_nta(M3[index],M3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O2_constraints); } -void ML_BSSN_O2_constraints(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O2_constraints(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_constraints_boundary.c b/ML_BSSN_O2/src/ML_BSSN_O2_constraints_boundary.cc index 6107d3e..7acbbb6 100644 --- a/ML_BSSN_O2/src/ML_BSSN_O2_constraints_boundary.c +++ b/ML_BSSN_O2/src/ML_BSSN_O2_constraints_boundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O2_constraints_boundary_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[]) +static void ML_BSSN_O2_constraints_boundary_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; @@ -60,12 +61,18 @@ void ML_BSSN_O2_constraints_boundary_Body(cGH const * restrict const cctkGH, int CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; CCTK_REAL const p1o2dx = khalf*INV(dx); CCTK_REAL const p1o2dy = khalf*INV(dy); CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1odx2 = pow(dx,-2); CCTK_REAL const p1ody = INV(dy); @@ -75,6 +82,9 @@ void ML_BSSN_O2_constraints_boundary_Body(cGH const * restrict const cctkGH, int CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; /* Loop over the grid points */ #pragma omp parallel @@ -93,40 +103,41 @@ void ML_BSSN_O2_constraints_boundary_Body(cGH const * restrict const cctkGH, int /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL HL = 0; + CCTK_REAL_VEC HL = 0; - CCTK_REAL M1L = 0; + CCTK_REAL_VEC M1L = 0; - CCTK_REAL M2L = 0; + CCTK_REAL_VEC M2L = 0; - CCTK_REAL M3L = 0; + CCTK_REAL_VEC M3L = 0; - CCTK_REAL cSL = 0; + CCTK_REAL_VEC cSL = 0; - CCTK_REAL cXt1L = 0; + CCTK_REAL_VEC cXt1L = 0; - CCTK_REAL cXt2L = 0; + CCTK_REAL_VEC cXt2L = 0; - CCTK_REAL cXt3L = 0; + CCTK_REAL_VEC cXt3L = 0; - CCTK_REAL cAL = 0; + CCTK_REAL_VEC 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; + vec_store_nta(cA[index],cAL); + vec_store_nta(cS[index],cSL); + vec_store_nta(cXt1[index],cXt1L); + vec_store_nta(cXt2[index],cXt2L); + vec_store_nta(cXt3[index],cXt3L); + vec_store_nta(H[index],HL); + vec_store_nta(M1[index],M1L); + vec_store_nta(M2[index],M2L); + vec_store_nta(M3[index],M3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O2_constraints_boundary); } -void ML_BSSN_O2_constraints_boundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O2_constraints_boundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBase.c b/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBase.c deleted file mode 100644 index b3198e4..0000000 --- a/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBase.c +++ /dev/null @@ -1,211 +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_O2_convertFromADMBase_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O2_convertFromADMBase_Body"); - } - - if (cctk_iteration % ML_BSSN_O2_convertFromADMBase_calc_every != ML_BSSN_O2_convertFromADMBase_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 p1o2dx = khalf*INV(dx); - CCTK_REAL const p1o2dy = khalf*INV(dy); - CCTK_REAL const p1o2dz = khalf*INV(dz); - CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; - CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; - CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1odx2 = pow(dx,-2); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1ody2 = pow(dy,-2); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const p1odz2 = pow(dz,-2); - CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); - CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); - CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_O2_convertFromADMBase, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of 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 */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL g11 = gxxL; - - CCTK_REAL g12 = gxyL; - - CCTK_REAL g13 = gxzL; - - CCTK_REAL g22 = gyyL; - - CCTK_REAL g23 = gyzL; - - CCTK_REAL g33 = gzzL; - - CCTK_REAL detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - - g22*SQR(g13) - g11*SQR(g23); - - CCTK_REAL gu11 = INV(detg)*(g22*g33 - SQR(g23)); - - CCTK_REAL gu21 = (g13*g23 - g12*g33)*INV(detg); - - CCTK_REAL gu31 = (-(g13*g22) + g12*g23)*INV(detg); - - CCTK_REAL gu22 = INV(detg)*(g11*g33 - SQR(g13)); - - CCTK_REAL gu32 = (g12*g13 - g11*g23)*INV(detg); - - CCTK_REAL gu33 = INV(detg)*(g11*g22 - SQR(g12)); - - phiL = - IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); - - CCTK_REAL em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - - CCTK_REAL gt11L = em4phi*g11; - - CCTK_REAL gt12L = em4phi*g12; - - CCTK_REAL gt13L = em4phi*g13; - - CCTK_REAL gt22L = em4phi*g22; - - CCTK_REAL gt23L = em4phi*g23; - - CCTK_REAL gt33L = em4phi*g33; - - trKL = gu11*kxxL + gu22*kyyL + 2*(gu21*kxyL + gu31*kxzL + gu32*kyzL) + - gu33*kzzL; - - CCTK_REAL At11L = em4phi*(kxxL - g11*kthird*trKL); - - CCTK_REAL At12L = em4phi*(kxyL - g12*kthird*trKL); - - CCTK_REAL At13L = em4phi*(kxzL - g13*kthird*trKL); - - CCTK_REAL At22L = em4phi*(kyyL - g22*kthird*trKL); - - CCTK_REAL At23L = em4phi*(kyzL - g23*kthird*trKL); - - CCTK_REAL At33L = em4phi*(kzzL - g33*kthird*trKL); - - CCTK_REAL alphaL = alpL; - - CCTK_REAL beta1L = betaxL; - - CCTK_REAL beta2L = betayL; - - CCTK_REAL beta3L = betazL; - - - /* 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; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - } - LC_ENDLOOP3 (ML_BSSN_O2_convertFromADMBase); -} - -void ML_BSSN_O2_convertFromADMBase(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_O2_convertFromADMBase_Body); -} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBase.cc b/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBase.cc new file mode 100644 index 0000000..f2cd5a6 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBase.cc @@ -0,0 +1,222 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_O2_convertFromADMBase_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O2_convertFromADMBase_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_convertFromADMBase_calc_every != ML_BSSN_O2_convertFromADMBase_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 p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const p1odz2 = pow(dz,-2); + CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); + CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); + CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_O2_convertFromADMBase, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC alpL = vec_load(alp[index]); + CCTK_REAL_VEC betaxL = vec_load(betax[index]); + CCTK_REAL_VEC betayL = vec_load(betay[index]); + CCTK_REAL_VEC betazL = vec_load(betaz[index]); + CCTK_REAL_VEC gxxL = vec_load(gxx[index]); + CCTK_REAL_VEC gxyL = vec_load(gxy[index]); + CCTK_REAL_VEC gxzL = vec_load(gxz[index]); + CCTK_REAL_VEC gyyL = vec_load(gyy[index]); + CCTK_REAL_VEC gyzL = vec_load(gyz[index]); + CCTK_REAL_VEC gzzL = vec_load(gzz[index]); + CCTK_REAL_VEC kxxL = vec_load(kxx[index]); + CCTK_REAL_VEC kxyL = vec_load(kxy[index]); + CCTK_REAL_VEC kxzL = vec_load(kxz[index]); + CCTK_REAL_VEC kyyL = vec_load(kyy[index]); + CCTK_REAL_VEC kyzL = vec_load(kyz[index]); + CCTK_REAL_VEC kzzL = vec_load(kzz[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL_VEC g11 = gxxL; + + CCTK_REAL_VEC g12 = gxyL; + + CCTK_REAL_VEC g13 = gxzL; + + CCTK_REAL_VEC g22 = gyyL; + + CCTK_REAL_VEC g23 = gyzL; + + CCTK_REAL_VEC g33 = gzzL; + + CCTK_REAL_VEC detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - + g22*SQR(g13) - g11*SQR(g23); + + CCTK_REAL_VEC gu11 = INV(detg)*(g22*g33 - SQR(g23)); + + CCTK_REAL_VEC gu21 = (g13*g23 - g12*g33)*INV(detg); + + CCTK_REAL_VEC gu31 = (-(g13*g22) + g12*g23)*INV(detg); + + CCTK_REAL_VEC gu22 = INV(detg)*(g11*g33 - SQR(g13)); + + CCTK_REAL_VEC gu32 = (g12*g13 - g11*g23)*INV(detg); + + CCTK_REAL_VEC gu33 = INV(detg)*(g11*g22 - SQR(g12)); + + phiL = + IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); + + CCTK_REAL_VEC em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + + CCTK_REAL_VEC gt11L = em4phi*g11; + + CCTK_REAL_VEC gt12L = em4phi*g12; + + CCTK_REAL_VEC gt13L = em4phi*g13; + + CCTK_REAL_VEC gt22L = em4phi*g22; + + CCTK_REAL_VEC gt23L = em4phi*g23; + + CCTK_REAL_VEC gt33L = em4phi*g33; + + trKL = gu11*kxxL + gu22*kyyL + 2*(gu21*kxyL + gu31*kxzL + gu32*kyzL) + + gu33*kzzL; + + CCTK_REAL_VEC At11L = em4phi*(kxxL - g11*kthird*trKL); + + CCTK_REAL_VEC At12L = em4phi*(kxyL - g12*kthird*trKL); + + CCTK_REAL_VEC At13L = em4phi*(kxzL - g13*kthird*trKL); + + CCTK_REAL_VEC At22L = em4phi*(kyyL - g22*kthird*trKL); + + CCTK_REAL_VEC At23L = em4phi*(kyzL - g23*kthird*trKL); + + CCTK_REAL_VEC At33L = em4phi*(kzzL - g33*kthird*trKL); + + CCTK_REAL_VEC alphaL = alpL; + + CCTK_REAL_VEC beta1L = betaxL; + + CCTK_REAL_VEC beta2L = betayL; + + CCTK_REAL_VEC beta3L = betazL; + + + /* Copy local copies back to grid functions */ + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + vec_store_nta(beta1[index],beta1L); + vec_store_nta(beta2[index],beta2L); + vec_store_nta(beta3[index],beta3L); + vec_store_nta(gt11[index],gt11L); + vec_store_nta(gt12[index],gt12L); + vec_store_nta(gt13[index],gt13L); + vec_store_nta(gt22[index],gt22L); + vec_store_nta(gt23[index],gt23L); + vec_store_nta(gt33[index],gt33L); + vec_store_nta(phi[index],phiL); + vec_store_nta(trK[index],trKL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_O2_convertFromADMBase); +} + +extern "C" void ML_BSSN_O2_convertFromADMBase(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_O2_convertFromADMBase_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBaseGamma.c b/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBaseGamma.c deleted file mode 100644 index fa0c703..0000000 --- a/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBaseGamma.c +++ /dev/null @@ -1,312 +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_O2_convertFromADMBaseGamma_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O2_convertFromADMBaseGamma_Body"); - } - - if (cctk_iteration % ML_BSSN_O2_convertFromADMBaseGamma_calc_every != ML_BSSN_O2_convertFromADMBaseGamma_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 p1o2dx = khalf*INV(dx); - CCTK_REAL const p1o2dy = khalf*INV(dy); - CCTK_REAL const p1o2dz = khalf*INV(dz); - CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; - CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; - CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1odx2 = pow(dx,-2); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1ody2 = pow(dy,-2); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const p1odz2 = pow(dz,-2); - CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); - CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); - CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_O2_convertFromADMBaseGamma, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - - /* Assign local copies of 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]; - CCTK_REAL rL = r[index]; - - /* Include user supplied include files */ - - /* 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); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - 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 Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + - Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - - CCTK_REAL Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + - Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - - CCTK_REAL Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + - Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - - CCTK_REAL AL = -(dtalpL*(-1 + - LapseAdvectionCoeff)*INV(harmonicF)*pow(alphaL,-harmonicN)); - - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); - - CCTK_REAL B1L = 6*IfThen(ShiftGammaCoeff*theta != - 0,dtbetaxL*INV(ShiftGammaCoeff)*INV(theta),0) + - IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth1(betax, i, - j, - k)*beta1L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth2(betax, i, - j, - k)*beta2L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth3(betax, i, - j, - k)*beta3L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0); - - CCTK_REAL B2L = 6*IfThen(ShiftGammaCoeff*theta != - 0,dtbetayL*INV(ShiftGammaCoeff)*INV(theta),0) + - IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth1(betay, i, - j, - k)*beta1L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth2(betay, i, - j, - k)*beta2L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth3(betay, i, - j, - k)*beta3L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0); - - CCTK_REAL B3L = 6*IfThen(ShiftGammaCoeff*theta != - 0,dtbetazL*INV(ShiftGammaCoeff)*INV(theta),0) + - IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth1(betaz, i, - j, - k)*beta1L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth2(betaz, i, - j, - k)*beta2L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth3(betaz, i, - j, - k)*beta3L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0); - - - /* Copy local copies back to grid functions */ - A[index] = AL; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; - } - LC_ENDLOOP3 (ML_BSSN_O2_convertFromADMBaseGamma); -} - -void ML_BSSN_O2_convertFromADMBaseGamma(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_convertFromADMBaseGamma_Body); -} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBaseGamma.cc b/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBaseGamma.cc new file mode 100644 index 0000000..a8e7c64 --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_convertFromADMBaseGamma.cc @@ -0,0 +1,425 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_O2_convertFromADMBaseGamma_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O2_convertFromADMBaseGamma_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_convertFromADMBaseGamma_calc_every != ML_BSSN_O2_convertFromADMBaseGamma_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 p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const p1odz2 = pow(dz,-2); + CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); + CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); + CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_O2_convertFromADMBaseGamma, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDupwindNthAnti1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC dtalpL = vec_load(dtalp[index]); + CCTK_REAL_VEC dtbetaxL = vec_load(dtbetax[index]); + CCTK_REAL_VEC dtbetayL = vec_load(dtbetay[index]); + CCTK_REAL_VEC dtbetazL = vec_load(dtbetaz[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL_VEC Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL_VEC Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL_VEC Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL_VEC AL = 12*IfThen(LapseACoeff != + 0,-(dtalpL*INV(harmonicF)*pow(alphaL,-harmonicN)),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1alpha + + PDupwindNthSymm1alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta2L*PDupwindNthAnti2alpha + + PDupwindNthSymm2alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + 2*(IfThen(LapseACoeff != 0,(-dtalpL + + beta1L*LapseAdvectionCoeff*PDupwindNthAnti1alpha)*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + beta2L*LapseAdvectionCoeff*PDupwindNthAnti2alpha)*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + beta3L*LapseAdvectionCoeff*PDupwindNthAnti3alpha)*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*PDupwindNthSymm1alpha*Abs(beta1L))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*PDupwindNthSymm2alpha*Abs(beta2L))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*PDupwindNthSymm3alpha*Abs(beta3L))*INV(harmonicF)*pow(alphaL,-harmonicN),0)) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta3L*PDupwindNthAnti3alpha + + PDupwindNthSymm3alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0); + + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); + + CCTK_REAL_VEC B1L = 12*IfThen(ShiftBCoeff*ShiftGammaCoeff != + 0,dtbetaxL*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff - + PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff - + PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + 2*(IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0)) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff - + PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0); + + CCTK_REAL_VEC B2L = 12*IfThen(ShiftBCoeff*ShiftGammaCoeff != + 0,dtbetayL*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff - + PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff - + PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + 2*(IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0)) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff - + PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0); + + CCTK_REAL_VEC B3L = 12*IfThen(ShiftBCoeff*ShiftGammaCoeff != + 0,dtbetazL*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff - + PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff - + PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + 2*(IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0)) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff - + PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0); + + + /* Copy local copies back to grid functions */ + vec_store_nta(A[index],AL); + vec_store_nta(B1[index],B1L); + vec_store_nta(B2[index],B2L); + vec_store_nta(B3[index],B3L); + vec_store_nta(Xt1[index],Xt1L); + vec_store_nta(Xt2[index],Xt2L); + vec_store_nta(Xt3[index],Xt3L); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_O2_convertFromADMBaseGamma); +} + +extern "C" void ML_BSSN_O2_convertFromADMBaseGamma(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_convertFromADMBaseGamma_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBase.c b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBase.cc index 1a6b6c5..c362a75 100644 --- a/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBase.c +++ b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBase.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O2_convertToADMBase_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[]) +static void ML_BSSN_O2_convertToADMBase_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; @@ -60,12 +61,18 @@ void ML_BSSN_O2_convertToADMBase_Body(cGH const * restrict const cctkGH, int con CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; CCTK_REAL const p1o2dx = khalf*INV(dx); CCTK_REAL const p1o2dy = khalf*INV(dy); CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1odx2 = pow(dx,-2); CCTK_REAL const p1ody = INV(dy); @@ -75,6 +82,9 @@ void ML_BSSN_O2_convertToADMBase_Body(cGH const * restrict const cctkGH, int con CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; /* Loop over the grid points */ #pragma omp parallel @@ -87,37 +97,38 @@ void ML_BSSN_O2_convertToADMBase_Body(cGH const * restrict const cctkGH, int con /* Declare derivatives */ /* Assign local copies of 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]; + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC gxxL = vec_load(gxx[index]); + CCTK_REAL_VEC gxyL = vec_load(gxy[index]); + CCTK_REAL_VEC gxzL = vec_load(gxz[index]); + CCTK_REAL_VEC gyyL = vec_load(gyy[index]); + CCTK_REAL_VEC gyzL = vec_load(gyz[index]); + CCTK_REAL_VEC gzzL = vec_load(gzz[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + CCTK_REAL_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); gxxL = e4phi*gt11L; @@ -131,49 +142,50 @@ void ML_BSSN_O2_convertToADMBase_Body(cGH const * restrict const cctkGH, int con gzzL = e4phi*gt33L; - CCTK_REAL kxxL = At11L*e4phi + gxxL*kthird*trKL; + CCTK_REAL_VEC kxxL = At11L*e4phi + gxxL*kthird*trKL; - CCTK_REAL kxyL = At12L*e4phi + gxyL*kthird*trKL; + CCTK_REAL_VEC kxyL = At12L*e4phi + gxyL*kthird*trKL; - CCTK_REAL kxzL = At13L*e4phi + gxzL*kthird*trKL; + CCTK_REAL_VEC kxzL = At13L*e4phi + gxzL*kthird*trKL; - CCTK_REAL kyyL = At22L*e4phi + gyyL*kthird*trKL; + CCTK_REAL_VEC kyyL = At22L*e4phi + gyyL*kthird*trKL; - CCTK_REAL kyzL = At23L*e4phi + gyzL*kthird*trKL; + CCTK_REAL_VEC kyzL = At23L*e4phi + gyzL*kthird*trKL; - CCTK_REAL kzzL = At33L*e4phi + gzzL*kthird*trKL; + CCTK_REAL_VEC kzzL = At33L*e4phi + gzzL*kthird*trKL; - CCTK_REAL alpL = alphaL; + CCTK_REAL_VEC alpL = alphaL; - CCTK_REAL betaxL = beta1L; + CCTK_REAL_VEC betaxL = beta1L; - CCTK_REAL betayL = beta2L; + CCTK_REAL_VEC betayL = beta2L; - CCTK_REAL betazL = beta3L; + CCTK_REAL_VEC betazL = beta3L; /* Copy local copies back to grid functions */ - alp[index] = alpL; - betax[index] = betaxL; - betay[index] = betayL; - betaz[index] = betazL; - gxx[index] = gxxL; - gxy[index] = gxyL; - gxz[index] = gxzL; - gyy[index] = gyyL; - gyz[index] = gyzL; - gzz[index] = gzzL; - kxx[index] = kxxL; - kxy[index] = kxyL; - kxz[index] = kxzL; - kyy[index] = kyyL; - kyz[index] = kyzL; - kzz[index] = kzzL; + vec_store_nta(alp[index],alpL); + vec_store_nta(betax[index],betaxL); + vec_store_nta(betay[index],betayL); + vec_store_nta(betaz[index],betazL); + vec_store_nta(gxx[index],gxxL); + vec_store_nta(gxy[index],gxyL); + vec_store_nta(gxz[index],gxzL); + vec_store_nta(gyy[index],gyyL); + vec_store_nta(gyz[index],gyzL); + vec_store_nta(gzz[index],gzzL); + vec_store_nta(kxx[index],kxxL); + vec_store_nta(kxy[index],kxyL); + vec_store_nta(kxz[index],kxzL); + vec_store_nta(kyy[index],kyyL); + vec_store_nta(kyz[index],kyzL); + vec_store_nta(kzz[index],kzzL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O2_convertToADMBase); } -void ML_BSSN_O2_convertToADMBase(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O2_convertToADMBase(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShift.c b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShift.c deleted file mode 100644 index b394666..0000000 --- a/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShift.c +++ /dev/null @@ -1,148 +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_O2_convertToADMBaseDtLapseShift_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O2_convertToADMBaseDtLapseShift_Body"); - } - - if (cctk_iteration % ML_BSSN_O2_convertToADMBaseDtLapseShift_calc_every != ML_BSSN_O2_convertToADMBaseDtLapseShift_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 p1o2dx = khalf*INV(dx); - CCTK_REAL const p1o2dy = khalf*INV(dy); - CCTK_REAL const p1o2dz = khalf*INV(dz); - CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; - CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; - CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1odx2 = pow(dx,-2); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1ody2 = pow(dy,-2); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const p1odz2 = pow(dz,-2); - CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); - CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); - CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_O2_convertToADMBaseDtLapseShift, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of 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 rL = r[index]; - CCTK_REAL trKL = trK[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); - - 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 dtbetaxL = (PDupwindNth1(beta1, i, j, k)*beta1L + - PDupwindNth2(beta1, i, j, k)*beta2L + PDupwindNth3(beta1, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff*theta; - - CCTK_REAL dtbetayL = (PDupwindNth1(beta2, i, j, k)*beta1L + - PDupwindNth2(beta2, i, j, k)*beta2L + PDupwindNth3(beta2, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff*theta; - - CCTK_REAL dtbetazL = (PDupwindNth1(beta3, i, j, k)*beta1L + - PDupwindNth2(beta3, i, j, k)*beta2L + PDupwindNth3(beta3, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff*theta; - - - /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; - } - LC_ENDLOOP3 (ML_BSSN_O2_convertToADMBaseDtLapseShift); -} - -void ML_BSSN_O2_convertToADMBaseDtLapseShift(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_convertToADMBaseDtLapseShift_Body); -} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShift.cc b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShift.cc new file mode 100644 index 0000000..c3760fc --- /dev/null +++ b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShift.cc @@ -0,0 +1,226 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_O2_convertToADMBaseDtLapseShift_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O2_convertToADMBaseDtLapseShift_Body"); + } + + if (cctk_iteration % ML_BSSN_O2_convertToADMBaseDtLapseShift_calc_every != ML_BSSN_O2_convertToADMBaseDtLapseShift_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 p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; + CCTK_REAL const p1o2dx = khalf*INV(dx); + CCTK_REAL const p1o2dy = khalf*INV(dy); + CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; + CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; + CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; + CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1odx2 = pow(dx,-2); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1ody2 = pow(dy,-2); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const p1odz2 = pow(dz,-2); + CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); + CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); + CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_O2_convertToADMBaseDtLapseShift, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDupwindNthAnti1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); + + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); + + CCTK_REAL_VEC dtalpL = + LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1alpha + + beta2L*PDupwindNthAnti2alpha + beta3L*PDupwindNthAnti3alpha + + PDupwindNthSymm1alpha*Abs(beta1L) + PDupwindNthSymm2alpha*Abs(beta2L) + + PDupwindNthSymm3alpha*Abs(beta3L)) - harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN); + + CCTK_REAL_VEC dtbetaxL = + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta1 + + beta2L*PDupwindNthAnti2beta1 + beta3L*PDupwindNthAnti3beta1 + + PDupwindNthSymm1beta1*Abs(beta1L) + PDupwindNthSymm2beta1*Abs(beta2L) + + PDupwindNthSymm3beta1*Abs(beta3L)); + + CCTK_REAL_VEC dtbetayL = + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta2 + + beta2L*PDupwindNthAnti2beta2 + beta3L*PDupwindNthAnti3beta2 + + PDupwindNthSymm1beta2*Abs(beta1L) + PDupwindNthSymm2beta2*Abs(beta2L) + + PDupwindNthSymm3beta2*Abs(beta3L)); + + CCTK_REAL_VEC dtbetazL = + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta3 + + beta2L*PDupwindNthAnti2beta3 + beta3L*PDupwindNthAnti3beta3 + + PDupwindNthSymm1beta3*Abs(beta1L) + PDupwindNthSymm2beta3*Abs(beta2L) + + PDupwindNthSymm3beta3*Abs(beta3L)); + + + /* Copy local copies back to grid functions */ + vec_store_nta(dtalp[index],dtalpL); + vec_store_nta(dtbetax[index],dtbetaxL); + vec_store_nta(dtbetay[index],dtbetayL); + vec_store_nta(dtbetaz[index],dtbetazL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_O2_convertToADMBaseDtLapseShift); +} + +extern "C" void ML_BSSN_O2_convertToADMBaseDtLapseShift(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O2_convertToADMBaseDtLapseShift_Body); +} diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary.c b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary.cc index 29975fd..4fd766e 100644 --- a/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary.c +++ b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary_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[]) +static void ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary_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; @@ -60,12 +61,18 @@ void ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict c CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; CCTK_REAL const p1o2dx = khalf*INV(dx); CCTK_REAL const p1o2dy = khalf*INV(dy); CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1odx2 = pow(dx,-2); CCTK_REAL const p1ody = INV(dy); @@ -75,6 +82,9 @@ void ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict c CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; /* Loop over the grid points */ #pragma omp parallel @@ -87,42 +97,57 @@ void ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict c /* Declare derivatives */ /* Assign local copies of 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 rL = r[index]; - CCTK_REAL trKL = trK[index]; + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); - CCTK_REAL dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); - CCTK_REAL dtbetaxL = B1L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtalpL = -(harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN)); - CCTK_REAL dtbetayL = B2L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetaxL = + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L); - CCTK_REAL dtbetazL = B3L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetayL = + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L); + + CCTK_REAL_VEC dtbetazL = + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L); /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; + vec_store_nta(dtalp[index],dtalpL); + vec_store_nta(dtbetax[index],dtbetaxL); + vec_store_nta(dtbetay[index],dtbetayL); + vec_store_nta(dtbetaz[index],dtbetazL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary); } -void ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseFakeDtLapseShift.c b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseFakeDtLapseShift.cc index 9cc5b11..18a6af8 100644 --- a/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseFakeDtLapseShift.c +++ b/ML_BSSN_O2/src/ML_BSSN_O2_convertToADMBaseFakeDtLapseShift.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O2_convertToADMBaseFakeDtLapseShift_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[]) +static void ML_BSSN_O2_convertToADMBaseFakeDtLapseShift_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; @@ -60,12 +61,18 @@ void ML_BSSN_O2_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; CCTK_REAL const p1o2dx = khalf*INV(dx); CCTK_REAL const p1o2dy = khalf*INV(dy); CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1odx2 = pow(dx,-2); CCTK_REAL const p1ody = INV(dy); @@ -75,6 +82,9 @@ void ML_BSSN_O2_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; /* Loop over the grid points */ #pragma omp parallel @@ -87,42 +97,57 @@ void ML_BSSN_O2_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const /* Declare derivatives */ /* Assign local copies of 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 rL = r[index]; - CCTK_REAL trKL = trK[index]; + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); - CCTK_REAL dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); - CCTK_REAL dtbetaxL = B1L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtalpL = -(harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN)); - CCTK_REAL dtbetayL = B2L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetaxL = + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L); - CCTK_REAL dtbetazL = B3L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetayL = + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L); + + CCTK_REAL_VEC dtbetazL = + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L); /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; + vec_store_nta(dtalp[index],dtalpL); + vec_store_nta(dtbetax[index],dtbetaxL); + vec_store_nta(dtbetay[index],dtbetayL); + vec_store_nta(dtbetaz[index],dtbetazL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O2_convertToADMBaseFakeDtLapseShift); } -void ML_BSSN_O2_convertToADMBaseFakeDtLapseShift(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O2_convertToADMBaseFakeDtLapseShift(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O2/src/ML_BSSN_O2_enforce.c b/ML_BSSN_O2/src/ML_BSSN_O2_enforce.cc index 187ea92..92a0c26 100644 --- a/ML_BSSN_O2/src/ML_BSSN_O2_enforce.c +++ b/ML_BSSN_O2/src/ML_BSSN_O2_enforce.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O2_enforce_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[]) +static void ML_BSSN_O2_enforce_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; @@ -60,12 +61,18 @@ void ML_BSSN_O2_enforce_Body(cGH const * restrict const cctkGH, int const dir, i CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o16dx = INV(dx)/16.; + CCTK_REAL const p1o16dy = INV(dy)/16.; + CCTK_REAL const p1o16dz = INV(dz)/16.; CCTK_REAL const p1o2dx = khalf*INV(dx); CCTK_REAL const p1o2dy = khalf*INV(dy); CCTK_REAL const p1o2dz = khalf*INV(dz); + CCTK_REAL const p1o4dx = INV(dx)/4.; CCTK_REAL const p1o4dxdy = (INV(dx)*INV(dy))/4.; CCTK_REAL const p1o4dxdz = (INV(dx)*INV(dz))/4.; + CCTK_REAL const p1o4dy = INV(dy)/4.; CCTK_REAL const p1o4dydz = (INV(dy)*INV(dz))/4.; + CCTK_REAL const p1o4dz = INV(dz)/4.; CCTK_REAL const p1odx = INV(dx); CCTK_REAL const p1odx2 = pow(dx,-2); CCTK_REAL const p1ody = INV(dy); @@ -75,6 +82,9 @@ void ML_BSSN_O2_enforce_Body(cGH const * restrict const cctkGH, int const dir, i CCTK_REAL const pm1o2dx = -(khalf*INV(dx)); CCTK_REAL const pm1o2dy = -(khalf*INV(dy)); CCTK_REAL const pm1o2dz = -(khalf*INV(dz)); + CCTK_REAL const pm1o4dx = -INV(dx)/4.; + CCTK_REAL const pm1o4dy = -INV(dy)/4.; + CCTK_REAL const pm1o4dz = -INV(dz)/4.; /* Loop over the grid points */ #pragma omp parallel @@ -87,40 +97,40 @@ void ML_BSSN_O2_enforce_Body(cGH const * restrict const cctkGH, int const dir, i /* Declare derivatives */ /* Assign local copies of 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]; + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL detgt = 1; + CCTK_REAL_VEC detgt = 1; - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + + CCTK_REAL_VEC trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; At11L = At11L - gt11L*kthird*trAt; @@ -139,18 +149,19 @@ void ML_BSSN_O2_enforce_Body(cGH const * restrict const cctkGH, int const dir, i /* 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; + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O2_enforce); } -void ML_BSSN_O2_enforce(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O2_enforce(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O2/src/make.code.defn b/ML_BSSN_O2/src/make.code.defn index f611c71..9280bdf 100644 --- a/ML_BSSN_O2/src/make.code.defn +++ b/ML_BSSN_O2/src/make.code.defn @@ -1,3 +1,3 @@ # File produced by Kranc -SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_O2_Minkowski.c ML_BSSN_O2_convertFromADMBase.c ML_BSSN_O2_convertFromADMBaseGamma.c ML_BSSN_O2_RHS1.c ML_BSSN_O2_RHS2.c ML_BSSN_O2_RHSStaticBoundary.c ML_BSSN_O2_RHSRadiativeBoundary.c ML_BSSN_O2_enforce.c ML_BSSN_O2_boundary.c ML_BSSN_O2_convertToADMBase.c ML_BSSN_O2_convertToADMBaseDtLapseShift.c ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_O2_convertToADMBaseFakeDtLapseShift.c ML_BSSN_O2_constraints.c ML_BSSN_O2_constraints_boundary.c Boundaries.c +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_O2_Minkowski.cc ML_BSSN_O2_convertFromADMBase.cc ML_BSSN_O2_convertFromADMBaseGamma.cc ML_BSSN_O2_RHS1.cc ML_BSSN_O2_RHS2.cc ML_BSSN_O2_RHSStaticBoundary.cc ML_BSSN_O2_RHSRadiativeBoundary.cc ML_BSSN_O2_enforce.cc ML_BSSN_O2_boundary.cc ML_BSSN_O2_convertToADMBase.cc ML_BSSN_O2_convertToADMBaseDtLapseShift.cc ML_BSSN_O2_convertToADMBaseDtLapseShiftBoundary.cc ML_BSSN_O2_convertToADMBaseFakeDtLapseShift.cc ML_BSSN_O2_constraints.cc ML_BSSN_O2_constraints_boundary.cc Boundaries.c diff --git a/ML_BSSN_O8/interface.ccl b/ML_BSSN_O8/interface.ccl index 738701f..e584e78 100644 --- a/ML_BSSN_O8/interface.ccl +++ b/ML_BSSN_O8/interface.ccl @@ -8,6 +8,7 @@ inherits: ADMBase TmunuBase Grid GenericFD Boundary USES INCLUDE: GenericFD.h USES INCLUDE: Symmetry.h +USES INCLUDE: Vectors.hh USES INCLUDE: sbp_calc_coeffs.h USES INCLUDE: Boundary.h USES INCLUDE: loopcontrol.h diff --git a/ML_BSSN_O8/param.ccl b/ML_BSSN_O8/param.ccl index ef1b410..ac1ca96 100644 --- a/ML_BSSN_O8/param.ccl +++ b/ML_BSSN_O8/param.ccl @@ -55,6 +55,12 @@ CCTK_INT verbose "verbose" } 0 restricted: +CCTK_REAL LapseACoeff "Whether to evolve A in time" +{ + "*:*" :: "" +} 0 + +restricted: CCTK_REAL harmonicF "d/dt alpha = - f alpha^n K (harmonic=1, 1+log=2)" { "*:*" :: "" @@ -67,6 +73,12 @@ CCTK_REAL AlphaDriver "AlphaDriver" } 0 restricted: +CCTK_REAL ShiftBCoeff "Whether to evolve B^i in time" +{ + "*:*" :: "" +} 1 + +restricted: CCTK_REAL ShiftGammaCoeff "ShiftGammaCoeff" { "*:*" :: "" @@ -109,6 +121,12 @@ CCTK_REAL SpatialShiftGammaCoeffRadius "Radius at which the ShiftGammaCoefficien } 1000000000000 restricted: +CCTK_REAL EpsDiss "Dissipation strength" +{ + "*:*" :: "" +} 0 + +restricted: CCTK_INT harmonicN "d/dt alpha = - f alpha^n K (harmonic=2, 1+log=1)" { *:* :: "" diff --git a/ML_BSSN_O8/src/Differencing.h b/ML_BSSN_O8/src/Differencing.h index 1bb95b9..74b2508 100644 --- a/ML_BSSN_O8/src/Differencing.h +++ b/ML_BSSN_O8/src/Differencing.h @@ -1,18 +1,27 @@ -#define PDstandardNth1(u,i,j,k) (p1o840dx*(-672*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 672*(u)[index+di*(1)+dj*(0)+dk*(0)] + 168*(u)[index+di*(-2)+dj*(0)+dk*(0)] - 168*(u)[index+di*(2)+dj*(0)+dk*(0)] - 32*(u)[index+di*(-3)+dj*(0)+dk*(0)] + 32*(u)[index+di*(3)+dj*(0)+dk*(0)] + 3*(u)[index+di*(-4)+dj*(0)+dk*(0)] - 3*(u)[index+di*(4)+dj*(0)+dk*(0)])) -#define PDstandardNth2(u,i,j,k) (p1o840dy*(-672*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 672*(u)[index+di*(0)+dj*(1)+dk*(0)] + 168*(u)[index+di*(0)+dj*(-2)+dk*(0)] - 168*(u)[index+di*(0)+dj*(2)+dk*(0)] - 32*(u)[index+di*(0)+dj*(-3)+dk*(0)] + 32*(u)[index+di*(0)+dj*(3)+dk*(0)] + 3*(u)[index+di*(0)+dj*(-4)+dk*(0)] - 3*(u)[index+di*(0)+dj*(4)+dk*(0)])) -#define PDstandardNth3(u,i,j,k) (p1o840dz*(-672*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 672*(u)[index+di*(0)+dj*(0)+dk*(1)] + 168*(u)[index+di*(0)+dj*(0)+dk*(-2)] - 168*(u)[index+di*(0)+dj*(0)+dk*(2)] - 32*(u)[index+di*(0)+dj*(0)+dk*(-3)] + 32*(u)[index+di*(0)+dj*(0)+dk*(3)] + 3*(u)[index+di*(0)+dj*(0)+dk*(-4)] - 3*(u)[index+di*(0)+dj*(0)+dk*(4)])) -#define PDstandardNth11(u,i,j,k) (p1o5040dx2*(-14350*(u)[index+di*(0)+dj*(0)+dk*(0)] + 8064*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) - 1008*((u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)]) + 128*((u)[index+di*(-3)+dj*(0)+dk*(0)] + (u)[index+di*(3)+dj*(0)+dk*(0)]) - 9*((u)[index+di*(-4)+dj*(0)+dk*(0)] + (u)[index+di*(4)+dj*(0)+dk*(0)]))) -#define PDstandardNth22(u,i,j,k) (p1o5040dy2*(-14350*(u)[index+di*(0)+dj*(0)+dk*(0)] + 8064*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) - 1008*((u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)]) + 128*((u)[index+di*(0)+dj*(-3)+dk*(0)] + (u)[index+di*(0)+dj*(3)+dk*(0)]) - 9*((u)[index+di*(0)+dj*(-4)+dk*(0)] + (u)[index+di*(0)+dj*(4)+dk*(0)]))) -#define PDstandardNth33(u,i,j,k) (p1o5040dz2*(-14350*(u)[index+di*(0)+dj*(0)+dk*(0)] + 8064*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) - 1008*((u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)]) + 128*((u)[index+di*(0)+dj*(0)+dk*(-3)] + (u)[index+di*(0)+dj*(0)+dk*(3)]) - 9*((u)[index+di*(0)+dj*(0)+dk*(-4)] + (u)[index+di*(0)+dj*(0)+dk*(4)]))) -#define PDstandardNth12(u,i,j,k) (p1o705600dxdy*(-451584*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 451584*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 112896*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 112896*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) - 28224*((u)[index+di*(-2)+dj*(2)+dk*(0)] + (u)[index+di*(2)+dj*(-2)+dk*(0)]) + 28224*((u)[index+di*(-2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)]) - 21504*((u)[index+di*(-1)+dj*(3)+dk*(0)] + (u)[index+di*(1)+dj*(-3)+dk*(0)] + (u)[index+di*(-3)+dj*(1)+dk*(0)] + (u)[index+di*(3)+dj*(-1)+dk*(0)]) + 21504*((u)[index+di*(-1)+dj*(-3)+dk*(0)] + (u)[index+di*(1)+dj*(3)+dk*(0)] + (u)[index+di*(-3)+dj*(-1)+dk*(0)] + (u)[index+di*(3)+dj*(1)+dk*(0)]) + 5376*((u)[index+di*(-2)+dj*(3)+dk*(0)] + (u)[index+di*(2)+dj*(-3)+dk*(0)] + (u)[index+di*(-3)+dj*(2)+dk*(0)] + (u)[index+di*(3)+dj*(-2)+dk*(0)]) - 5376*((u)[index+di*(-2)+dj*(-3)+dk*(0)] + (u)[index+di*(2)+dj*(3)+dk*(0)] + (u)[index+di*(-3)+dj*(-2)+dk*(0)] + (u)[index+di*(3)+dj*(2)+dk*(0)]) - 1024*((u)[index+di*(-3)+dj*(3)+dk*(0)] + (u)[index+di*(3)+dj*(-3)+dk*(0)]) + 1024*((u)[index+di*(-3)+dj*(-3)+dk*(0)] + (u)[index+di*(3)+dj*(3)+dk*(0)]) + 2016*((u)[index+di*(-1)+dj*(4)+dk*(0)] + (u)[index+di*(1)+dj*(-4)+dk*(0)] + (u)[index+di*(-4)+dj*(1)+dk*(0)] + (u)[index+di*(4)+dj*(-1)+dk*(0)]) - 2016*((u)[index+di*(-1)+dj*(-4)+dk*(0)] + (u)[index+di*(1)+dj*(4)+dk*(0)] + (u)[index+di*(-4)+dj*(-1)+dk*(0)] + (u)[index+di*(4)+dj*(1)+dk*(0)]) - 504*((u)[index+di*(-2)+dj*(4)+dk*(0)] + (u)[index+di*(2)+dj*(-4)+dk*(0)] + (u)[index+di*(-4)+dj*(2)+dk*(0)] + (u)[index+di*(4)+dj*(-2)+dk*(0)]) + 504*((u)[index+di*(-2)+dj*(-4)+dk*(0)] + (u)[index+di*(2)+dj*(4)+dk*(0)] + (u)[index+di*(-4)+dj*(-2)+dk*(0)] + (u)[index+di*(4)+dj*(2)+dk*(0)]) + 96*((u)[index+di*(-3)+dj*(4)+dk*(0)] + (u)[index+di*(3)+dj*(-4)+dk*(0)] + (u)[index+di*(-4)+dj*(3)+dk*(0)] + (u)[index+di*(4)+dj*(-3)+dk*(0)]) - 96*((u)[index+di*(-3)+dj*(-4)+dk*(0)] + (u)[index+di*(3)+dj*(4)+dk*(0)] + (u)[index+di*(-4)+dj*(-3)+dk*(0)] + (u)[index+di*(4)+dj*(3)+dk*(0)]) - 9*((u)[index+di*(-4)+dj*(4)+dk*(0)] + (u)[index+di*(4)+dj*(-4)+dk*(0)]) + 9*((u)[index+di*(-4)+dj*(-4)+dk*(0)] + (u)[index+di*(4)+dj*(4)+dk*(0)]))) -#define PDstandardNth13(u,i,j,k) (p1o705600dxdz*(-451584*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 451584*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 112896*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 112896*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) - 28224*((u)[index+di*(-2)+dj*(0)+dk*(2)] + (u)[index+di*(2)+dj*(0)+dk*(-2)]) + 28224*((u)[index+di*(-2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)]) - 21504*((u)[index+di*(-1)+dj*(0)+dk*(3)] + (u)[index+di*(1)+dj*(0)+dk*(-3)] + (u)[index+di*(-3)+dj*(0)+dk*(1)] + (u)[index+di*(3)+dj*(0)+dk*(-1)]) + 21504*((u)[index+di*(-1)+dj*(0)+dk*(-3)] + (u)[index+di*(1)+dj*(0)+dk*(3)] + (u)[index+di*(-3)+dj*(0)+dk*(-1)] + (u)[index+di*(3)+dj*(0)+dk*(1)]) + 5376*((u)[index+di*(-2)+dj*(0)+dk*(3)] + (u)[index+di*(2)+dj*(0)+dk*(-3)] + (u)[index+di*(-3)+dj*(0)+dk*(2)] + (u)[index+di*(3)+dj*(0)+dk*(-2)]) - 5376*((u)[index+di*(-2)+dj*(0)+dk*(-3)] + (u)[index+di*(2)+dj*(0)+dk*(3)] + (u)[index+di*(-3)+dj*(0)+dk*(-2)] + (u)[index+di*(3)+dj*(0)+dk*(2)]) - 1024*((u)[index+di*(-3)+dj*(0)+dk*(3)] + (u)[index+di*(3)+dj*(0)+dk*(-3)]) + 1024*((u)[index+di*(-3)+dj*(0)+dk*(-3)] + (u)[index+di*(3)+dj*(0)+dk*(3)]) + 2016*((u)[index+di*(-1)+dj*(0)+dk*(4)] + (u)[index+di*(1)+dj*(0)+dk*(-4)] + (u)[index+di*(-4)+dj*(0)+dk*(1)] + (u)[index+di*(4)+dj*(0)+dk*(-1)]) - 2016*((u)[index+di*(-1)+dj*(0)+dk*(-4)] + (u)[index+di*(1)+dj*(0)+dk*(4)] + (u)[index+di*(-4)+dj*(0)+dk*(-1)] + (u)[index+di*(4)+dj*(0)+dk*(1)]) - 504*((u)[index+di*(-2)+dj*(0)+dk*(4)] + (u)[index+di*(2)+dj*(0)+dk*(-4)] + (u)[index+di*(-4)+dj*(0)+dk*(2)] + (u)[index+di*(4)+dj*(0)+dk*(-2)]) + 504*((u)[index+di*(-2)+dj*(0)+dk*(-4)] + (u)[index+di*(2)+dj*(0)+dk*(4)] + (u)[index+di*(-4)+dj*(0)+dk*(-2)] + (u)[index+di*(4)+dj*(0)+dk*(2)]) + 96*((u)[index+di*(-3)+dj*(0)+dk*(4)] + (u)[index+di*(3)+dj*(0)+dk*(-4)] + (u)[index+di*(-4)+dj*(0)+dk*(3)] + (u)[index+di*(4)+dj*(0)+dk*(-3)]) - 96*((u)[index+di*(-3)+dj*(0)+dk*(-4)] + (u)[index+di*(3)+dj*(0)+dk*(4)] + (u)[index+di*(-4)+dj*(0)+dk*(-3)] + (u)[index+di*(4)+dj*(0)+dk*(3)]) - 9*((u)[index+di*(-4)+dj*(0)+dk*(4)] + (u)[index+di*(4)+dj*(0)+dk*(-4)]) + 9*((u)[index+di*(-4)+dj*(0)+dk*(-4)] + (u)[index+di*(4)+dj*(0)+dk*(4)]))) -#define PDstandardNth21(u,i,j,k) (p1o705600dxdy*(-451584*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 451584*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 112896*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 112896*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) - 28224*((u)[index+di*(-2)+dj*(2)+dk*(0)] + (u)[index+di*(2)+dj*(-2)+dk*(0)]) + 28224*((u)[index+di*(-2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)]) - 21504*((u)[index+di*(-1)+dj*(3)+dk*(0)] + (u)[index+di*(1)+dj*(-3)+dk*(0)] + (u)[index+di*(-3)+dj*(1)+dk*(0)] + (u)[index+di*(3)+dj*(-1)+dk*(0)]) + 21504*((u)[index+di*(-1)+dj*(-3)+dk*(0)] + (u)[index+di*(1)+dj*(3)+dk*(0)] + (u)[index+di*(-3)+dj*(-1)+dk*(0)] + (u)[index+di*(3)+dj*(1)+dk*(0)]) + 5376*((u)[index+di*(-2)+dj*(3)+dk*(0)] + (u)[index+di*(2)+dj*(-3)+dk*(0)] + (u)[index+di*(-3)+dj*(2)+dk*(0)] + (u)[index+di*(3)+dj*(-2)+dk*(0)]) - 5376*((u)[index+di*(-2)+dj*(-3)+dk*(0)] + (u)[index+di*(2)+dj*(3)+dk*(0)] + (u)[index+di*(-3)+dj*(-2)+dk*(0)] + (u)[index+di*(3)+dj*(2)+dk*(0)]) - 1024*((u)[index+di*(-3)+dj*(3)+dk*(0)] + (u)[index+di*(3)+dj*(-3)+dk*(0)]) + 1024*((u)[index+di*(-3)+dj*(-3)+dk*(0)] + (u)[index+di*(3)+dj*(3)+dk*(0)]) + 2016*((u)[index+di*(-1)+dj*(4)+dk*(0)] + (u)[index+di*(1)+dj*(-4)+dk*(0)] + (u)[index+di*(-4)+dj*(1)+dk*(0)] + (u)[index+di*(4)+dj*(-1)+dk*(0)]) - 2016*((u)[index+di*(-1)+dj*(-4)+dk*(0)] + (u)[index+di*(1)+dj*(4)+dk*(0)] + (u)[index+di*(-4)+dj*(-1)+dk*(0)] + (u)[index+di*(4)+dj*(1)+dk*(0)]) - 504*((u)[index+di*(-2)+dj*(4)+dk*(0)] + (u)[index+di*(2)+dj*(-4)+dk*(0)] + (u)[index+di*(-4)+dj*(2)+dk*(0)] + (u)[index+di*(4)+dj*(-2)+dk*(0)]) + 504*((u)[index+di*(-2)+dj*(-4)+dk*(0)] + (u)[index+di*(2)+dj*(4)+dk*(0)] + (u)[index+di*(-4)+dj*(-2)+dk*(0)] + (u)[index+di*(4)+dj*(2)+dk*(0)]) + 96*((u)[index+di*(-3)+dj*(4)+dk*(0)] + (u)[index+di*(3)+dj*(-4)+dk*(0)] + (u)[index+di*(-4)+dj*(3)+dk*(0)] + (u)[index+di*(4)+dj*(-3)+dk*(0)]) - 96*((u)[index+di*(-3)+dj*(-4)+dk*(0)] + (u)[index+di*(3)+dj*(4)+dk*(0)] + (u)[index+di*(-4)+dj*(-3)+dk*(0)] + (u)[index+di*(4)+dj*(3)+dk*(0)]) - 9*((u)[index+di*(-4)+dj*(4)+dk*(0)] + (u)[index+di*(4)+dj*(-4)+dk*(0)]) + 9*((u)[index+di*(-4)+dj*(-4)+dk*(0)] + (u)[index+di*(4)+dj*(4)+dk*(0)]))) -#define PDstandardNth23(u,i,j,k) (p1o705600dydz*(-451584*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 451584*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 112896*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 112896*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) - 28224*((u)[index+di*(0)+dj*(-2)+dk*(2)] + (u)[index+di*(0)+dj*(2)+dk*(-2)]) + 28224*((u)[index+di*(0)+dj*(-2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)]) - 21504*((u)[index+di*(0)+dj*(-1)+dk*(3)] + (u)[index+di*(0)+dj*(1)+dk*(-3)] + (u)[index+di*(0)+dj*(-3)+dk*(1)] + (u)[index+di*(0)+dj*(3)+dk*(-1)]) + 21504*((u)[index+di*(0)+dj*(-1)+dk*(-3)] + (u)[index+di*(0)+dj*(1)+dk*(3)] + (u)[index+di*(0)+dj*(-3)+dk*(-1)] + (u)[index+di*(0)+dj*(3)+dk*(1)]) + 5376*((u)[index+di*(0)+dj*(-2)+dk*(3)] + (u)[index+di*(0)+dj*(2)+dk*(-3)] + (u)[index+di*(0)+dj*(-3)+dk*(2)] + (u)[index+di*(0)+dj*(3)+dk*(-2)]) - 5376*((u)[index+di*(0)+dj*(-2)+dk*(-3)] + (u)[index+di*(0)+dj*(2)+dk*(3)] + (u)[index+di*(0)+dj*(-3)+dk*(-2)] + (u)[index+di*(0)+dj*(3)+dk*(2)]) - 1024*((u)[index+di*(0)+dj*(-3)+dk*(3)] + (u)[index+di*(0)+dj*(3)+dk*(-3)]) + 1024*((u)[index+di*(0)+dj*(-3)+dk*(-3)] + (u)[index+di*(0)+dj*(3)+dk*(3)]) + 2016*((u)[index+di*(0)+dj*(-1)+dk*(4)] + (u)[index+di*(0)+dj*(1)+dk*(-4)] + (u)[index+di*(0)+dj*(-4)+dk*(1)] + (u)[index+di*(0)+dj*(4)+dk*(-1)]) - 2016*((u)[index+di*(0)+dj*(-1)+dk*(-4)] + (u)[index+di*(0)+dj*(1)+dk*(4)] + (u)[index+di*(0)+dj*(-4)+dk*(-1)] + (u)[index+di*(0)+dj*(4)+dk*(1)]) - 504*((u)[index+di*(0)+dj*(-2)+dk*(4)] + (u)[index+di*(0)+dj*(2)+dk*(-4)] + (u)[index+di*(0)+dj*(-4)+dk*(2)] + (u)[index+di*(0)+dj*(4)+dk*(-2)]) + 504*((u)[index+di*(0)+dj*(-2)+dk*(-4)] + (u)[index+di*(0)+dj*(2)+dk*(4)] + (u)[index+di*(0)+dj*(-4)+dk*(-2)] + (u)[index+di*(0)+dj*(4)+dk*(2)]) + 96*((u)[index+di*(0)+dj*(-3)+dk*(4)] + (u)[index+di*(0)+dj*(3)+dk*(-4)] + (u)[index+di*(0)+dj*(-4)+dk*(3)] + (u)[index+di*(0)+dj*(4)+dk*(-3)]) - 96*((u)[index+di*(0)+dj*(-3)+dk*(-4)] + (u)[index+di*(0)+dj*(3)+dk*(4)] + (u)[index+di*(0)+dj*(-4)+dk*(-3)] + (u)[index+di*(0)+dj*(4)+dk*(3)]) - 9*((u)[index+di*(0)+dj*(-4)+dk*(4)] + (u)[index+di*(0)+dj*(4)+dk*(-4)]) + 9*((u)[index+di*(0)+dj*(-4)+dk*(-4)] + (u)[index+di*(0)+dj*(4)+dk*(4)]))) -#define PDstandardNth31(u,i,j,k) (p1o705600dxdz*(-451584*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 451584*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 112896*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 112896*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) - 28224*((u)[index+di*(-2)+dj*(0)+dk*(2)] + (u)[index+di*(2)+dj*(0)+dk*(-2)]) + 28224*((u)[index+di*(-2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)]) - 21504*((u)[index+di*(-1)+dj*(0)+dk*(3)] + (u)[index+di*(1)+dj*(0)+dk*(-3)] + (u)[index+di*(-3)+dj*(0)+dk*(1)] + (u)[index+di*(3)+dj*(0)+dk*(-1)]) + 21504*((u)[index+di*(-1)+dj*(0)+dk*(-3)] + (u)[index+di*(1)+dj*(0)+dk*(3)] + (u)[index+di*(-3)+dj*(0)+dk*(-1)] + (u)[index+di*(3)+dj*(0)+dk*(1)]) + 5376*((u)[index+di*(-2)+dj*(0)+dk*(3)] + (u)[index+di*(2)+dj*(0)+dk*(-3)] + (u)[index+di*(-3)+dj*(0)+dk*(2)] + (u)[index+di*(3)+dj*(0)+dk*(-2)]) - 5376*((u)[index+di*(-2)+dj*(0)+dk*(-3)] + (u)[index+di*(2)+dj*(0)+dk*(3)] + (u)[index+di*(-3)+dj*(0)+dk*(-2)] + (u)[index+di*(3)+dj*(0)+dk*(2)]) - 1024*((u)[index+di*(-3)+dj*(0)+dk*(3)] + (u)[index+di*(3)+dj*(0)+dk*(-3)]) + 1024*((u)[index+di*(-3)+dj*(0)+dk*(-3)] + (u)[index+di*(3)+dj*(0)+dk*(3)]) + 2016*((u)[index+di*(-1)+dj*(0)+dk*(4)] + (u)[index+di*(1)+dj*(0)+dk*(-4)] + (u)[index+di*(-4)+dj*(0)+dk*(1)] + (u)[index+di*(4)+dj*(0)+dk*(-1)]) - 2016*((u)[index+di*(-1)+dj*(0)+dk*(-4)] + (u)[index+di*(1)+dj*(0)+dk*(4)] + (u)[index+di*(-4)+dj*(0)+dk*(-1)] + (u)[index+di*(4)+dj*(0)+dk*(1)]) - 504*((u)[index+di*(-2)+dj*(0)+dk*(4)] + (u)[index+di*(2)+dj*(0)+dk*(-4)] + (u)[index+di*(-4)+dj*(0)+dk*(2)] + (u)[index+di*(4)+dj*(0)+dk*(-2)]) + 504*((u)[index+di*(-2)+dj*(0)+dk*(-4)] + (u)[index+di*(2)+dj*(0)+dk*(4)] + (u)[index+di*(-4)+dj*(0)+dk*(-2)] + (u)[index+di*(4)+dj*(0)+dk*(2)]) + 96*((u)[index+di*(-3)+dj*(0)+dk*(4)] + (u)[index+di*(3)+dj*(0)+dk*(-4)] + (u)[index+di*(-4)+dj*(0)+dk*(3)] + (u)[index+di*(4)+dj*(0)+dk*(-3)]) - 96*((u)[index+di*(-3)+dj*(0)+dk*(-4)] + (u)[index+di*(3)+dj*(0)+dk*(4)] + (u)[index+di*(-4)+dj*(0)+dk*(-3)] + (u)[index+di*(4)+dj*(0)+dk*(3)]) - 9*((u)[index+di*(-4)+dj*(0)+dk*(4)] + (u)[index+di*(4)+dj*(0)+dk*(-4)]) + 9*((u)[index+di*(-4)+dj*(0)+dk*(-4)] + (u)[index+di*(4)+dj*(0)+dk*(4)]))) -#define PDstandardNth32(u,i,j,k) (p1o705600dydz*(-451584*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 451584*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 112896*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 112896*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) - 28224*((u)[index+di*(0)+dj*(-2)+dk*(2)] + (u)[index+di*(0)+dj*(2)+dk*(-2)]) + 28224*((u)[index+di*(0)+dj*(-2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)]) - 21504*((u)[index+di*(0)+dj*(-1)+dk*(3)] + (u)[index+di*(0)+dj*(1)+dk*(-3)] + (u)[index+di*(0)+dj*(-3)+dk*(1)] + (u)[index+di*(0)+dj*(3)+dk*(-1)]) + 21504*((u)[index+di*(0)+dj*(-1)+dk*(-3)] + (u)[index+di*(0)+dj*(1)+dk*(3)] + (u)[index+di*(0)+dj*(-3)+dk*(-1)] + (u)[index+di*(0)+dj*(3)+dk*(1)]) + 5376*((u)[index+di*(0)+dj*(-2)+dk*(3)] + (u)[index+di*(0)+dj*(2)+dk*(-3)] + (u)[index+di*(0)+dj*(-3)+dk*(2)] + (u)[index+di*(0)+dj*(3)+dk*(-2)]) - 5376*((u)[index+di*(0)+dj*(-2)+dk*(-3)] + (u)[index+di*(0)+dj*(2)+dk*(3)] + (u)[index+di*(0)+dj*(-3)+dk*(-2)] + (u)[index+di*(0)+dj*(3)+dk*(2)]) - 1024*((u)[index+di*(0)+dj*(-3)+dk*(3)] + (u)[index+di*(0)+dj*(3)+dk*(-3)]) + 1024*((u)[index+di*(0)+dj*(-3)+dk*(-3)] + (u)[index+di*(0)+dj*(3)+dk*(3)]) + 2016*((u)[index+di*(0)+dj*(-1)+dk*(4)] + (u)[index+di*(0)+dj*(1)+dk*(-4)] + (u)[index+di*(0)+dj*(-4)+dk*(1)] + (u)[index+di*(0)+dj*(4)+dk*(-1)]) - 2016*((u)[index+di*(0)+dj*(-1)+dk*(-4)] + (u)[index+di*(0)+dj*(1)+dk*(4)] + (u)[index+di*(0)+dj*(-4)+dk*(-1)] + (u)[index+di*(0)+dj*(4)+dk*(1)]) - 504*((u)[index+di*(0)+dj*(-2)+dk*(4)] + (u)[index+di*(0)+dj*(2)+dk*(-4)] + (u)[index+di*(0)+dj*(-4)+dk*(2)] + (u)[index+di*(0)+dj*(4)+dk*(-2)]) + 504*((u)[index+di*(0)+dj*(-2)+dk*(-4)] + (u)[index+di*(0)+dj*(2)+dk*(4)] + (u)[index+di*(0)+dj*(-4)+dk*(-2)] + (u)[index+di*(0)+dj*(4)+dk*(2)]) + 96*((u)[index+di*(0)+dj*(-3)+dk*(4)] + (u)[index+di*(0)+dj*(3)+dk*(-4)] + (u)[index+di*(0)+dj*(-4)+dk*(3)] + (u)[index+di*(0)+dj*(4)+dk*(-3)]) - 96*((u)[index+di*(0)+dj*(-3)+dk*(-4)] + (u)[index+di*(0)+dj*(3)+dk*(4)] + (u)[index+di*(0)+dj*(-4)+dk*(-3)] + (u)[index+di*(0)+dj*(4)+dk*(3)]) - 9*((u)[index+di*(0)+dj*(-4)+dk*(4)] + (u)[index+di*(0)+dj*(4)+dk*(-4)]) + 9*((u)[index+di*(0)+dj*(-4)+dk*(-4)] + (u)[index+di*(0)+dj*(4)+dk*(4)]))) -#define PDupwindNth1(u,i,j,k) (pm1o840dx*(378*(u)[index+di*(0)+dj*(0)+dk*(0)] - 60*(u)[index+di*(-2*dir1)+dj*(0)+dk*(0)] + 5*(u)[index+di*(-3*dir1)+dj*(0)+dk*(0)] - 140*(u)[index+di*(3*dir1)+dj*(0)+dk*(0)] + 30*(u)[index+di*(4*dir1)+dj*(0)+dk*(0)] - 3*(u)[index+di*(5*dir1)+dj*(0)+dk*(0)] + 420*((u)[index+di*(2*dir1)+dj*(0)+dk*(0)] + (u)[index+di*(-dir1)+dj*(0)+dk*(0)]) - 1050*(u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) -#define PDupwindNth2(u,i,j,k) (pm1o840dy*(378*(u)[index+di*(0)+dj*(0)+dk*(0)] - 60*(u)[index+di*(0)+dj*(-2*dir2)+dk*(0)] + 5*(u)[index+di*(0)+dj*(-3*dir2)+dk*(0)] - 140*(u)[index+di*(0)+dj*(3*dir2)+dk*(0)] + 30*(u)[index+di*(0)+dj*(4*dir2)+dk*(0)] - 3*(u)[index+di*(0)+dj*(5*dir2)+dk*(0)] + 420*((u)[index+di*(0)+dj*(2*dir2)+dk*(0)] + (u)[index+di*(0)+dj*(-dir2)+dk*(0)]) - 1050*(u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) -#define PDupwindNth3(u,i,j,k) (pm1o840dz*(378*(u)[index+di*(0)+dj*(0)+dk*(0)] - 60*(u)[index+di*(0)+dj*(0)+dk*(-2*dir3)] + 5*(u)[index+di*(0)+dj*(0)+dk*(-3*dir3)] - 140*(u)[index+di*(0)+dj*(0)+dk*(3*dir3)] + 30*(u)[index+di*(0)+dj*(0)+dk*(4*dir3)] - 3*(u)[index+di*(0)+dj*(0)+dk*(5*dir3)] + 420*((u)[index+di*(0)+dj*(0)+dk*(2*dir3)] + (u)[index+di*(0)+dj*(0)+dk*(-dir3)]) - 1050*(u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) -#define PDonesided1(u,i,j,k) (p1odx*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(dir1)+dj*(0)+dk*(0)])*dir1) -#define PDonesided2(u,i,j,k) (p1ody*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(dir2)+dk*(0)])*dir2) -#define PDonesided3(u,i,j,k) (p1odz*(-(u)[index+di*(0)+dj*(0)+dk*(0)] + (u)[index+di*(0)+dj*(0)+dk*(dir3)])*dir3) +#define PDstandardNth1(u,i,j,k) (p1o840dx*(-672*vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + 672*vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)]) + 168*vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) - 168*vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]) - 32*vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(0)]) + 32*vec_loadu((u)[index+di*(3)+dj*(0)+dk*(0)]) + 3*vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(0)]) - 3*vec_loadu((u)[index+di*(4)+dj*(0)+dk*(0)]))) +#define PDstandardNth2(u,i,j,k) (p1o840dy*(-672*vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + 672*vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)]) + 168*vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) - 168*vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]) - 32*vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(0)]) + 32*vec_loadu((u)[index+di*(0)+dj*(3)+dk*(0)]) + 3*vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(0)]) - 3*vec_loadu((u)[index+di*(0)+dj*(4)+dk*(0)]))) +#define PDstandardNth3(u,i,j,k) (p1o840dz*(-672*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + 672*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)]) + 168*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) - 168*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]) - 32*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-3)]) + 32*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3)]) + 3*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-4)]) - 3*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(4)]))) +#define PDstandardNth11(u,i,j,k) (p1o5040dx2*(-14350*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 8064*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)])) - 1008*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)])) + 128*(vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(0)])) - 9*(vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(0)])))) +#define PDstandardNth22(u,i,j,k) (p1o5040dy2*(-14350*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 8064*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)])) - 1008*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)])) + 128*(vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(0)])) - 9*(vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(0)])))) +#define PDstandardNth33(u,i,j,k) (p1o5040dz2*(-14350*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 8064*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)])) - 1008*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)])) + 128*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3)])) - 9*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(4)])))) +#define PDstandardNth12(u,i,j,k) (p1o705600dxdy*(-451584*(vec_loadu((u)[index+di*(-1)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-1)+dk*(0)])) + 451584*(vec_loadu((u)[index+di*(-1)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(1)+dk*(0)])) + 112896*(vec_loadu((u)[index+di*(-1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-1)+dk*(0)])) - 112896*(vec_loadu((u)[index+di*(-1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(1)+dk*(0)])) - 28224*(vec_loadu((u)[index+di*(-2)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-2)+dk*(0)])) + 28224*(vec_loadu((u)[index+di*(-2)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(2)+dk*(0)])) - 21504*(vec_loadu((u)[index+di*(-1)+dj*(3)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(-3)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(-1)+dk*(0)])) + 21504*(vec_loadu((u)[index+di*(-1)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(3)+dk*(0)]) + vec_loadu((u)[index+di*(-3)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(1)+dk*(0)])) + 5376*(vec_loadu((u)[index+di*(-2)+dj*(3)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(-3)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(-2)+dk*(0)])) - 5376*(vec_loadu((u)[index+di*(-2)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(3)+dk*(0)]) + vec_loadu((u)[index+di*(-3)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(2)+dk*(0)])) - 1024*(vec_loadu((u)[index+di*(-3)+dj*(3)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(-3)+dk*(0)])) + 1024*(vec_loadu((u)[index+di*(-3)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(3)+dk*(0)])) + 2016*(vec_loadu((u)[index+di*(-1)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(-4)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(-1)+dk*(0)])) - 2016*(vec_loadu((u)[index+di*(-1)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(-4)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(1)+dk*(0)])) - 504*(vec_loadu((u)[index+di*(-2)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(-4)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(-2)+dk*(0)])) + 504*(vec_loadu((u)[index+di*(-2)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(-4)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(2)+dk*(0)])) + 96*(vec_loadu((u)[index+di*(-3)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(-4)+dj*(3)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(-3)+dk*(0)])) - 96*(vec_loadu((u)[index+di*(-3)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(-4)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(3)+dk*(0)])) - 9*(vec_loadu((u)[index+di*(-4)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(-4)+dk*(0)])) + 9*(vec_loadu((u)[index+di*(-4)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(4)+dk*(0)])))) +#define PDstandardNth13(u,i,j,k) (p1o705600dxdz*(-451584*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-1)])) + 451584*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(1)])) + 112896*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-1)])) - 112896*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(1)])) - 28224*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-2)])) + 28224*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(2)])) - 21504*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(3)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(-1)])) + 21504*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(3)]) + vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(1)])) + 5376*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(3)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(-2)])) - 5376*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(3)]) + vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(2)])) - 1024*(vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(3)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(-3)])) + 1024*(vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(3)])) + 2016*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(-1)])) - 2016*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(1)])) - 504*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(-2)])) + 504*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(2)])) + 96*(vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(3)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(-3)])) - 96*(vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(3)])) - 9*(vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(-4)])) + 9*(vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(4)])))) +#define PDstandardNth21(u,i,j,k) (p1o705600dxdy*(-451584*(vec_loadu((u)[index+di*(-1)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-1)+dk*(0)])) + 451584*(vec_loadu((u)[index+di*(-1)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(1)+dk*(0)])) + 112896*(vec_loadu((u)[index+di*(-1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-1)+dk*(0)])) - 112896*(vec_loadu((u)[index+di*(-1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(1)+dk*(0)])) - 28224*(vec_loadu((u)[index+di*(-2)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-2)+dk*(0)])) + 28224*(vec_loadu((u)[index+di*(-2)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(2)+dk*(0)])) - 21504*(vec_loadu((u)[index+di*(-1)+dj*(3)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(-3)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(-1)+dk*(0)])) + 21504*(vec_loadu((u)[index+di*(-1)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(3)+dk*(0)]) + vec_loadu((u)[index+di*(-3)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(1)+dk*(0)])) + 5376*(vec_loadu((u)[index+di*(-2)+dj*(3)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(-3)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(-2)+dk*(0)])) - 5376*(vec_loadu((u)[index+di*(-2)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(3)+dk*(0)]) + vec_loadu((u)[index+di*(-3)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(2)+dk*(0)])) - 1024*(vec_loadu((u)[index+di*(-3)+dj*(3)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(-3)+dk*(0)])) + 1024*(vec_loadu((u)[index+di*(-3)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(3)+dk*(0)])) + 2016*(vec_loadu((u)[index+di*(-1)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(-4)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(-1)+dk*(0)])) - 2016*(vec_loadu((u)[index+di*(-1)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(-4)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(1)+dk*(0)])) - 504*(vec_loadu((u)[index+di*(-2)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(-4)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(-2)+dk*(0)])) + 504*(vec_loadu((u)[index+di*(-2)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(-4)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(2)+dk*(0)])) + 96*(vec_loadu((u)[index+di*(-3)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(-4)+dj*(3)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(-3)+dk*(0)])) - 96*(vec_loadu((u)[index+di*(-3)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(-4)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(3)+dk*(0)])) - 9*(vec_loadu((u)[index+di*(-4)+dj*(4)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(-4)+dk*(0)])) + 9*(vec_loadu((u)[index+di*(-4)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(4)+dk*(0)])))) +#define PDstandardNth23(u,i,j,k) (p1o705600dydz*(-451584*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-1)])) + 451584*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(1)])) + 112896*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-1)])) - 112896*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(1)])) - 28224*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-2)])) + 28224*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(2)])) - 21504*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(3)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(-1)])) + 21504*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(3)]) + vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(1)])) + 5376*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(3)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(-2)])) - 5376*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(3)]) + vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(2)])) - 1024*(vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(3)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(-3)])) + 1024*(vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(3)])) + 2016*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(-1)])) - 2016*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(1)])) - 504*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(-2)])) + 504*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(2)])) + 96*(vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(3)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(-3)])) - 96*(vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(3)])) - 9*(vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(-4)])) + 9*(vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(4)])))) +#define PDstandardNth31(u,i,j,k) (p1o705600dxdz*(-451584*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-1)])) + 451584*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(1)])) + 112896*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-1)])) - 112896*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(1)])) - 28224*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-2)])) + 28224*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(2)])) - 21504*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(3)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(-1)])) + 21504*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(3)]) + vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(1)])) + 5376*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(3)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(-2)])) - 5376*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(3)]) + vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(2)])) - 1024*(vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(3)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(-3)])) + 1024*(vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(3)])) + 2016*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(-1)])) - 2016*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(1)])) - 504*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(-2)])) + 504*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(2)])) + 96*(vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(3)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(-3)])) - 96*(vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(3)])) - 9*(vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(4)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(-4)])) + 9*(vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(4)])))) +#define PDstandardNth32(u,i,j,k) (p1o705600dydz*(-451584*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-1)])) + 451584*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(1)])) + 112896*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-1)])) - 112896*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(1)])) - 28224*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-2)])) + 28224*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(2)])) - 21504*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(3)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(-1)])) + 21504*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(3)]) + vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(1)])) + 5376*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(3)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(-2)])) - 5376*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(3)]) + vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(2)])) - 1024*(vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(3)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(-3)])) + 1024*(vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(3)])) + 2016*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(-1)])) - 2016*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(1)])) - 504*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(-2)])) + 504*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(2)])) + 96*(vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(3)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(-3)])) - 96*(vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(3)])) - 9*(vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(4)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(-4)])) + 9*(vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(4)])))) +#define PDdissipationNth1(u,i,j,k) (p1o1024dx*(-252*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 210*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)])) - 120*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)])) + 45*(vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(0)])) - 10*(vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(0)])) + vec_loadu((u)[index+di*(-5)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(5)+dj*(0)+dk*(0)]))) +#define PDdissipationNth2(u,i,j,k) (p1o1024dy*(-252*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 210*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)])) - 120*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)])) + 45*(vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(0)])) - 10*(vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(0)])) + vec_loadu((u)[index+di*(0)+dj*(-5)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(5)+dk*(0)]))) +#define PDdissipationNth3(u,i,j,k) (p1o1024dz*(-252*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 210*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)])) - 120*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)])) + 45*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3)])) - 10*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(4)])) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-5)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(5)]))) +#define PDupwindNth1(u,i,j,k) (pm1o840dx*(378*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 60*vec_loadu((u)[index+di*(-2*dir1)+dj*(0)+dk*(0)]) + 5*vec_loadu((u)[index+di*(-3*dir1)+dj*(0)+dk*(0)]) - 140*vec_loadu((u)[index+di*(3*dir1)+dj*(0)+dk*(0)]) + 30*vec_loadu((u)[index+di*(4*dir1)+dj*(0)+dk*(0)]) - 3*vec_loadu((u)[index+di*(5*dir1)+dj*(0)+dk*(0)]) + 420*(vec_loadu((u)[index+di*(2*dir1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(-dir1)+dj*(0)+dk*(0)])) - 1050*vec_loadu((u)[index+di*(dir1)+dj*(0)+dk*(0)]))*dir1) +#define PDupwindNth2(u,i,j,k) (pm1o840dy*(378*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 60*vec_loadu((u)[index+di*(0)+dj*(-2*dir2)+dk*(0)]) + 5*vec_loadu((u)[index+di*(0)+dj*(-3*dir2)+dk*(0)]) - 140*vec_loadu((u)[index+di*(0)+dj*(3*dir2)+dk*(0)]) + 30*vec_loadu((u)[index+di*(0)+dj*(4*dir2)+dk*(0)]) - 3*vec_loadu((u)[index+di*(0)+dj*(5*dir2)+dk*(0)]) + 420*(vec_loadu((u)[index+di*(0)+dj*(2*dir2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(-dir2)+dk*(0)])) - 1050*vec_loadu((u)[index+di*(0)+dj*(dir2)+dk*(0)]))*dir2) +#define PDupwindNth3(u,i,j,k) (pm1o840dz*(378*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 60*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2*dir3)]) + 5*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-3*dir3)]) - 140*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3*dir3)]) + 30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(4*dir3)]) - 3*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(5*dir3)]) + 420*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2*dir3)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-dir3)])) - 1050*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(dir3)]))*dir3) +#define PDonesided1(u,i,j,k) (p1odx*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(dir1)+dj*(0)+dk*(0)]))*dir1) +#define PDonesided2(u,i,j,k) (p1ody*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(dir2)+dk*(0)]))*dir2) +#define PDonesided3(u,i,j,k) (p1odz*(-vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(dir3)]))*dir3) +#define PDupwindNthAnti1(u,i,j,k) (p1o1680dx*(-1470*vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + 1470*vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)]) + 480*vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) - 480*vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]) - 145*vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(0)]) + 145*vec_loadu((u)[index+di*(3)+dj*(0)+dk*(0)]) + 30*vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(0)]) - 30*vec_loadu((u)[index+di*(4)+dj*(0)+dk*(0)]) - 3*vec_loadu((u)[index+di*(-5)+dj*(0)+dk*(0)]) + 3*vec_loadu((u)[index+di*(5)+dj*(0)+dk*(0)]))) +#define PDupwindNthSymm1(u,i,j,k) (p1o560dx*(-252*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 210*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)])) - 120*(vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)])) + 45*(vec_loadu((u)[index+di*(-3)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(3)+dj*(0)+dk*(0)])) - 10*(vec_loadu((u)[index+di*(-4)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(4)+dj*(0)+dk*(0)])) + vec_loadu((u)[index+di*(-5)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(5)+dj*(0)+dk*(0)]))) +#define PDupwindNthAnti2(u,i,j,k) (p1o1680dy*(-1470*vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + 1470*vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)]) + 480*vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) - 480*vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]) - 145*vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(0)]) + 145*vec_loadu((u)[index+di*(0)+dj*(3)+dk*(0)]) + 30*vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(0)]) - 30*vec_loadu((u)[index+di*(0)+dj*(4)+dk*(0)]) - 3*vec_loadu((u)[index+di*(0)+dj*(-5)+dk*(0)]) + 3*vec_loadu((u)[index+di*(0)+dj*(5)+dk*(0)]))) +#define PDupwindNthSymm2(u,i,j,k) (p1o560dy*(-252*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 210*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)])) - 120*(vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)])) + 45*(vec_loadu((u)[index+di*(0)+dj*(-3)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(3)+dk*(0)])) - 10*(vec_loadu((u)[index+di*(0)+dj*(-4)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(4)+dk*(0)])) + vec_loadu((u)[index+di*(0)+dj*(-5)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(5)+dk*(0)]))) +#define PDupwindNthAnti3(u,i,j,k) (p1o1680dz*(-1470*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + 1470*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)]) + 480*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) - 480*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]) - 145*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-3)]) + 145*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3)]) + 30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-4)]) - 30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(4)]) - 3*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-5)]) + 3*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(5)]))) +#define PDupwindNthSymm3(u,i,j,k) (p1o560dz*(-252*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) + 210*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)])) - 120*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)])) + 45*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-3)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(3)])) - 10*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-4)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(4)])) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-5)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(5)]))) diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_Minkowski.c b/ML_BSSN_O8/src/ML_BSSN_O8_Minkowski.cc index 1301491..78f503a 100644 --- a/ML_BSSN_O8/src/ML_BSSN_O8_Minkowski.c +++ b/ML_BSSN_O8/src/ML_BSSN_O8_Minkowski.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O8_Minkowski_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[]) +static void ML_BSSN_O8_Minkowski_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; @@ -60,9 +61,18 @@ void ML_BSSN_O8_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; @@ -93,88 +103,89 @@ void ML_BSSN_O8_Minkowski_Body(cGH const * restrict const cctkGH, int const dir, /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL phiL = IfThen(conformalMethod,1,0); + CCTK_REAL_VEC phiL = IfThen(conformalMethod,1,0); - CCTK_REAL gt11L = 1; + CCTK_REAL_VEC gt11L = 1; - CCTK_REAL gt12L = 0; + CCTK_REAL_VEC gt12L = 0; - CCTK_REAL gt13L = 0; + CCTK_REAL_VEC gt13L = 0; - CCTK_REAL gt22L = 1; + CCTK_REAL_VEC gt22L = 1; - CCTK_REAL gt23L = 0; + CCTK_REAL_VEC gt23L = 0; - CCTK_REAL gt33L = 1; + CCTK_REAL_VEC gt33L = 1; - CCTK_REAL trKL = 0; + CCTK_REAL_VEC trKL = 0; - CCTK_REAL At11L = 0; + CCTK_REAL_VEC At11L = 0; - CCTK_REAL At12L = 0; + CCTK_REAL_VEC At12L = 0; - CCTK_REAL At13L = 0; + CCTK_REAL_VEC At13L = 0; - CCTK_REAL At22L = 0; + CCTK_REAL_VEC At22L = 0; - CCTK_REAL At23L = 0; + CCTK_REAL_VEC At23L = 0; - CCTK_REAL At33L = 0; + CCTK_REAL_VEC At33L = 0; - CCTK_REAL Xt1L = 0; + CCTK_REAL_VEC Xt1L = 0; - CCTK_REAL Xt2L = 0; + CCTK_REAL_VEC Xt2L = 0; - CCTK_REAL Xt3L = 0; + CCTK_REAL_VEC Xt3L = 0; - CCTK_REAL alphaL = 1; + CCTK_REAL_VEC alphaL = 1; - CCTK_REAL AL = 0; + CCTK_REAL_VEC AL = 0; - CCTK_REAL beta1L = 0; + CCTK_REAL_VEC beta1L = 0; - CCTK_REAL beta2L = 0; + CCTK_REAL_VEC beta2L = 0; - CCTK_REAL beta3L = 0; + CCTK_REAL_VEC beta3L = 0; - CCTK_REAL B1L = 0; + CCTK_REAL_VEC B1L = 0; - CCTK_REAL B2L = 0; + CCTK_REAL_VEC B2L = 0; - CCTK_REAL B3L = 0; + CCTK_REAL_VEC B3L = 0; /* Copy local copies back to grid functions */ - A[index] = AL; - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; + vec_store_nta(A[index],AL); + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + vec_store_nta(B1[index],B1L); + vec_store_nta(B2[index],B2L); + vec_store_nta(B3[index],B3L); + vec_store_nta(beta1[index],beta1L); + vec_store_nta(beta2[index],beta2L); + vec_store_nta(beta3[index],beta3L); + vec_store_nta(gt11[index],gt11L); + vec_store_nta(gt12[index],gt12L); + vec_store_nta(gt13[index],gt13L); + vec_store_nta(gt22[index],gt22L); + vec_store_nta(gt23[index],gt23L); + vec_store_nta(gt33[index],gt33L); + vec_store_nta(phi[index],phiL); + vec_store_nta(trK[index],trKL); + vec_store_nta(Xt1[index],Xt1L); + vec_store_nta(Xt2[index],Xt2L); + vec_store_nta(Xt3[index],Xt3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O8_Minkowski); } -void ML_BSSN_O8_Minkowski(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O8_Minkowski(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_RHS1.c b/ML_BSSN_O8/src/ML_BSSN_O8_RHS1.c deleted file mode 100644 index 1b00f02..0000000 --- a/ML_BSSN_O8/src/ML_BSSN_O8_RHS1.c +++ /dev/null @@ -1,602 +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_O8_RHS1_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O8_RHS1_Body"); - } - - if (cctk_iteration % ML_BSSN_O8_RHS1_calc_every != ML_BSSN_O8_RHS1_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 p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_O8_RHS1, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1alpha = INITVALUE; - // CCTK_REAL PDstandardNth2alpha = INITVALUE; - // CCTK_REAL PDstandardNth3alpha = INITVALUE; - // CCTK_REAL PDstandardNth11alpha = INITVALUE; - // CCTK_REAL PDstandardNth22alpha = INITVALUE; - // CCTK_REAL PDstandardNth33alpha = INITVALUE; - // CCTK_REAL PDstandardNth12alpha = INITVALUE; - // CCTK_REAL PDstandardNth13alpha = INITVALUE; - // CCTK_REAL PDstandardNth23alpha = INITVALUE; - // CCTK_REAL PDstandardNth1beta1 = INITVALUE; - // CCTK_REAL PDstandardNth2beta1 = INITVALUE; - // CCTK_REAL PDstandardNth3beta1 = INITVALUE; - // CCTK_REAL PDstandardNth11beta1 = INITVALUE; - // CCTK_REAL PDstandardNth22beta1 = INITVALUE; - // CCTK_REAL PDstandardNth33beta1 = INITVALUE; - // CCTK_REAL PDstandardNth12beta1 = INITVALUE; - // CCTK_REAL PDstandardNth13beta1 = INITVALUE; - // CCTK_REAL PDstandardNth23beta1 = INITVALUE; - // CCTK_REAL PDstandardNth1beta2 = INITVALUE; - // CCTK_REAL PDstandardNth2beta2 = INITVALUE; - // CCTK_REAL PDstandardNth3beta2 = INITVALUE; - // CCTK_REAL PDstandardNth11beta2 = INITVALUE; - // CCTK_REAL PDstandardNth22beta2 = INITVALUE; - // CCTK_REAL PDstandardNth33beta2 = INITVALUE; - // CCTK_REAL PDstandardNth12beta2 = INITVALUE; - // CCTK_REAL PDstandardNth13beta2 = INITVALUE; - // CCTK_REAL PDstandardNth23beta2 = INITVALUE; - // CCTK_REAL PDstandardNth1beta3 = INITVALUE; - // CCTK_REAL PDstandardNth2beta3 = INITVALUE; - // CCTK_REAL PDstandardNth3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth11beta3 = INITVALUE; - // CCTK_REAL PDstandardNth22beta3 = INITVALUE; - // CCTK_REAL PDstandardNth33beta3 = INITVALUE; - // CCTK_REAL PDstandardNth12beta3 = INITVALUE; - // CCTK_REAL PDstandardNth13beta3 = INITVALUE; - // CCTK_REAL PDstandardNth23beta3 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth1trK = INITVALUE; - // CCTK_REAL PDstandardNth2trK = INITVALUE; - // CCTK_REAL PDstandardNth3trK = INITVALUE; - - /* Assign local copies of 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 */ - 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); - CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - CCTK_REAL const PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); - CCTK_REAL const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); - CCTK_REAL const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); - CCTK_REAL const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); - CCTK_REAL const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); - CCTK_REAL const PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); - CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - CCTK_REAL const PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); - CCTK_REAL const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); - CCTK_REAL const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); - CCTK_REAL const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); - CCTK_REAL const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); - CCTK_REAL const PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); - CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - CCTK_REAL const PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); - CCTK_REAL const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); - CCTK_REAL const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); - CCTK_REAL const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); - CCTK_REAL const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); - CCTK_REAL const PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); - 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); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - 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 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 fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); - - CCTK_REAL cdphi1 = fac1*PDstandardNth1phi; - - CCTK_REAL cdphi2 = fac1*PDstandardNth2phi; - - CCTK_REAL cdphi3 = fac1*PDstandardNth3phi; - - CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - CCTK_REAL Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; - - CCTK_REAL Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; - - 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 e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - CCTK_REAL em4phi = INV(e4phi); - - 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 trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu21 + - eTxzL*gtu31 + eTyzL*gtu32) + eTzzL*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); - - trKrhsL = PDupwindNth1(trK, i, j, k)*beta1L + PDupwindNth2(trK, i, - j, k)*beta2L + PDupwindNth3(trK, i, j, k)*beta3L - - em4phi*(gtu11*PDstandardNth11alpha + gtu22*PDstandardNth22alpha + - gtu33*(PDstandardNth33alpha + 2*cdphi3*PDstandardNth3alpha) + - 2*(gtu21*PDstandardNth12alpha + gtu31*(PDstandardNth13alpha + - cdphi1*PDstandardNth3alpha) + gtu32*(PDstandardNth23alpha + - cdphi2*PDstandardNth3alpha)) + PDstandardNth1alpha*(2*(cdphi1*gtu11 + - cdphi2*gtu21 + cdphi3*gtu31) - Xtn1) + - PDstandardNth2alpha*(2*(cdphi1*gtu21 + cdphi2*gtu22 + cdphi3*gtu32) - - Xtn2) - PDstandardNth3alpha*Xtn3) + alphaL*(2*(Atm12*Atm21 + - Atm13*Atm31 + Atm23*Atm32) + - 12.56637061435917295385057353311801153679*(rho + trS) + SQR(Atm11) + - SQR(Atm22) + SQR(Atm33) + kthird*SQR(trKL)); - - 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 theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); - - 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 beta1rhsL = (PDupwindNth1(beta1, i, j, k)*beta1L + - PDupwindNth2(beta1, i, j, k)*beta2L + PDupwindNth3(beta1, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff*theta; - - CCTK_REAL beta2rhsL = (PDupwindNth1(beta2, i, j, k)*beta1L + - PDupwindNth2(beta2, i, j, k)*beta2L + PDupwindNth3(beta2, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff*theta; - - CCTK_REAL beta3rhsL = (PDupwindNth1(beta3, i, j, k)*beta1L + - PDupwindNth2(beta3, i, j, k)*beta2L + PDupwindNth3(beta3, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff*theta; - - 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 */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - } - LC_ENDLOOP3 (ML_BSSN_O8_RHS1); -} - -void ML_BSSN_O8_RHS1(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O8_RHS1_Body); -} diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_RHS1.cc b/ML_BSSN_O8/src/ML_BSSN_O8_RHS1.cc new file mode 100644 index 0000000..36c65d1 --- /dev/null +++ b/ML_BSSN_O8/src/ML_BSSN_O8_RHS1.cc @@ -0,0 +1,1037 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_O8_RHS1_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O8_RHS1_Body"); + } + + if (cctk_iteration % ML_BSSN_O8_RHS1_calc_every != ML_BSSN_O8_RHS1_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 p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; + CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; + CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; + CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; + CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; + CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; + CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; + CCTK_REAL const p1o840dx = INV(dx)/840.; + CCTK_REAL const p1o840dy = INV(dy)/840.; + CCTK_REAL const p1o840dz = INV(dz)/840.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o840dx = -INV(dx)/840.; + CCTK_REAL const pm1o840dy = -INV(dy)/840.; + CCTK_REAL const pm1o840dz = -INV(dz)/840.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_O8_RHS1, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDdissipationNth1A = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2A = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3A = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3A = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1B1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2B1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3B1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3B1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1B2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2B2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3B2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3B2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1B3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2B3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3B3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3B3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23beta1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1beta1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2beta1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23beta2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1beta2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2beta2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23beta3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1beta3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2beta3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3gt33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3phi = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1phi = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2phi = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3phi = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3trK = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3trK = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3Xt3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC eTttL = (*stress_energy_state) ? vec_load(eTtt[index]) : 0.0; + CCTK_REAL_VEC eTtxL = (*stress_energy_state) ? vec_load(eTtx[index]) : 0.0; + CCTK_REAL_VEC eTtyL = (*stress_energy_state) ? vec_load(eTty[index]) : 0.0; + CCTK_REAL_VEC eTtzL = (*stress_energy_state) ? vec_load(eTtz[index]) : 0.0; + CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; + CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; + CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; + CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; + CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; + CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDdissipationNth1A = PDdissipationNth1(A, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2A = PDdissipationNth2(A, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3A = PDdissipationNth3(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1A = PDupwindNthAnti1(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1A = PDupwindNthSymm1(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2A = PDupwindNthAnti2(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2A = PDupwindNthSymm2(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3A = PDupwindNthAnti3(A, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3A = PDupwindNthSymm3(A, i, j, k); + CCTK_REAL_VEC const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1alpha = PDdissipationNth1(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2alpha = PDdissipationNth2(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3alpha = PDdissipationNth3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1B1 = PDdissipationNth1(B1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2B1 = PDdissipationNth2(B1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3B1 = PDdissipationNth3(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1B1 = PDupwindNthAnti1(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1B1 = PDupwindNthSymm1(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2B1 = PDupwindNthAnti2(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2B1 = PDupwindNthSymm2(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3B1 = PDupwindNthAnti3(B1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3B1 = PDupwindNthSymm3(B1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1B2 = PDdissipationNth1(B2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2B2 = PDdissipationNth2(B2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3B2 = PDdissipationNth3(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1B2 = PDupwindNthAnti1(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1B2 = PDupwindNthSymm1(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2B2 = PDupwindNthAnti2(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2B2 = PDupwindNthSymm2(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3B2 = PDupwindNthAnti3(B2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3B2 = PDupwindNthSymm3(B2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1B3 = PDdissipationNth1(B3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2B3 = PDdissipationNth2(B3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3B3 = PDdissipationNth3(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1B3 = PDupwindNthAnti1(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1B3 = PDupwindNthSymm1(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2B3 = PDupwindNthAnti2(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2B3 = PDupwindNthSymm2(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3B3 = PDupwindNthAnti3(B3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3B3 = PDupwindNthSymm3(B3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth11beta1 = PDstandardNth11(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth22beta1 = PDstandardNth22(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth33beta1 = PDstandardNth33(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth12beta1 = PDstandardNth12(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth13beta1 = PDstandardNth13(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth23beta1 = PDstandardNth23(beta1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1beta1 = PDdissipationNth1(beta1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2beta1 = PDdissipationNth2(beta1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3beta1 = PDdissipationNth3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth11beta2 = PDstandardNth11(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth22beta2 = PDstandardNth22(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth33beta2 = PDstandardNth33(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth12beta2 = PDstandardNth12(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth13beta2 = PDstandardNth13(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth23beta2 = PDstandardNth23(beta2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1beta2 = PDdissipationNth1(beta2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2beta2 = PDdissipationNth2(beta2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3beta2 = PDdissipationNth3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth11beta3 = PDstandardNth11(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth22beta3 = PDstandardNth22(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth33beta3 = PDstandardNth33(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth12beta3 = PDstandardNth12(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth13beta3 = PDstandardNth13(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth23beta3 = PDstandardNth23(beta3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1beta3 = PDdissipationNth1(beta3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2beta3 = PDdissipationNth2(beta3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3beta3 = PDdissipationNth3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt11 = PDdissipationNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt11 = PDdissipationNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt11 = PDdissipationNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt11 = PDupwindNthAnti1(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt11 = PDupwindNthSymm1(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt11 = PDupwindNthAnti2(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt11 = PDupwindNthSymm2(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt11 = PDupwindNthAnti3(gt11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt11 = PDupwindNthSymm3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt12 = PDdissipationNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt12 = PDdissipationNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt12 = PDdissipationNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt12 = PDupwindNthAnti1(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt12 = PDupwindNthSymm1(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt12 = PDupwindNthAnti2(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt12 = PDupwindNthSymm2(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt12 = PDupwindNthAnti3(gt12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt12 = PDupwindNthSymm3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt13 = PDdissipationNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt13 = PDdissipationNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt13 = PDdissipationNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt13 = PDupwindNthAnti1(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt13 = PDupwindNthSymm1(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt13 = PDupwindNthAnti2(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt13 = PDupwindNthSymm2(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt13 = PDupwindNthAnti3(gt13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt13 = PDupwindNthSymm3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt22 = PDdissipationNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt22 = PDdissipationNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt22 = PDdissipationNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt22 = PDupwindNthAnti1(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt22 = PDupwindNthSymm1(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt22 = PDupwindNthAnti2(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt22 = PDupwindNthSymm2(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt22 = PDupwindNthAnti3(gt22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt22 = PDupwindNthSymm3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt23 = PDdissipationNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt23 = PDdissipationNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt23 = PDdissipationNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt23 = PDupwindNthAnti1(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt23 = PDupwindNthSymm1(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt23 = PDupwindNthAnti2(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt23 = PDupwindNthSymm2(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt23 = PDupwindNthAnti3(gt23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt23 = PDupwindNthSymm3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1gt33 = PDdissipationNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2gt33 = PDdissipationNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3gt33 = PDdissipationNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1gt33 = PDupwindNthAnti1(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1gt33 = PDupwindNthSymm1(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2gt33 = PDupwindNthAnti2(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2gt33 = PDupwindNthSymm2(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3gt33 = PDupwindNthAnti3(gt33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3gt33 = PDupwindNthSymm3(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1phi = PDdissipationNth1(phi, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2phi = PDdissipationNth2(phi, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3phi = PDdissipationNth3(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1phi = PDupwindNthAnti1(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1phi = PDupwindNthSymm1(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2phi = PDupwindNthAnti2(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2phi = PDupwindNthSymm2(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3phi = PDupwindNthAnti3(phi, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3phi = PDupwindNthSymm3(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1trK = PDdissipationNth1(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2trK = PDdissipationNth2(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3trK = PDdissipationNth3(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1trK = PDupwindNthAnti1(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1trK = PDupwindNthSymm1(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2trK = PDupwindNthAnti2(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2trK = PDupwindNthSymm2(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3trK = PDupwindNthAnti3(trK, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3trK = PDupwindNthSymm3(trK, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1Xt1 = PDdissipationNth1(Xt1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2Xt1 = PDdissipationNth2(Xt1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3Xt1 = PDdissipationNth3(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1Xt1 = PDupwindNthAnti1(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1Xt1 = PDupwindNthSymm1(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2Xt1 = PDupwindNthAnti2(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2Xt1 = PDupwindNthSymm2(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3Xt1 = PDupwindNthAnti3(Xt1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3Xt1 = PDupwindNthSymm3(Xt1, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1Xt2 = PDdissipationNth1(Xt2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2Xt2 = PDdissipationNth2(Xt2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3Xt2 = PDdissipationNth3(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1Xt2 = PDupwindNthAnti1(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1Xt2 = PDupwindNthSymm1(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2Xt2 = PDupwindNthAnti2(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2Xt2 = PDupwindNthSymm2(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3Xt2 = PDupwindNthAnti3(Xt2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3Xt2 = PDupwindNthSymm3(Xt2, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1Xt3 = PDdissipationNth1(Xt3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2Xt3 = PDdissipationNth2(Xt3, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3Xt3 = PDdissipationNth3(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1Xt3 = PDupwindNthAnti1(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1Xt3 = PDupwindNthSymm1(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2Xt3 = PDupwindNthAnti2(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2Xt3 = PDupwindNthSymm2(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3Xt3 = PDupwindNthAnti3(Xt3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3Xt3 = PDupwindNthSymm3(Xt3, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC epsdiss1 = EpsDiss; + + CCTK_REAL_VEC epsdiss2 = EpsDiss; + + CCTK_REAL_VEC epsdiss3 = EpsDiss; + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL_VEC Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL_VEC Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL_VEC Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL_VEC fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL_VEC cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL_VEC cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL_VEC cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL_VEC Atu11 = Atm11*gtu11 + Atm12*gtu21 + Atm13*gtu31; + + CCTK_REAL_VEC Atu21 = Atm11*gtu21 + Atm12*gtu22 + Atm13*gtu32; + + CCTK_REAL_VEC Atu31 = Atm11*gtu31 + Atm12*gtu32 + Atm13*gtu33; + + CCTK_REAL_VEC Atu22 = Atm21*gtu21 + Atm22*gtu22 + Atm23*gtu32; + + CCTK_REAL_VEC Atu32 = Atm21*gtu31 + Atm22*gtu32 + Atm23*gtu33; + + CCTK_REAL_VEC Atu33 = Atm31*gtu31 + Atm32*gtu32 + Atm33*gtu33; + + CCTK_REAL_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL_VEC em4phi = INV(e4phi); + + CCTK_REAL_VEC 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_VEC S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + + beta3L*eTxzL)*INV(alphaL); + + CCTK_REAL_VEC S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + + beta3L*eTyzL)*INV(alphaL); + + CCTK_REAL_VEC S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + + beta3L*eTzzL)*INV(alphaL); + + CCTK_REAL_VEC trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu21 + + eTxzL*gtu31 + eTyzL*gtu32) + eTzzL*gtu33); + + CCTK_REAL_VEC phirhsL = epsdiss1*PDdissipationNth1phi + + epsdiss2*PDdissipationNth2phi + epsdiss3*PDdissipationNth3phi + + beta1L*PDupwindNthAnti1phi + beta2L*PDupwindNthAnti2phi + + beta3L*PDupwindNthAnti3phi + PDupwindNthSymm1phi*Abs(beta1L) + + PDupwindNthSymm2phi*Abs(beta2L) + PDupwindNthSymm3phi*Abs(beta3L) + + (PDstandardNth1beta1 + PDstandardNth2beta2 + + PDstandardNth3beta3)*IfThen(conformalMethod,-(kthird*phiL),0.16666666666666666) + + alphaL*trKL*IfThen(conformalMethod,kthird*phiL,-0.16666666666666666); + + CCTK_REAL_VEC gt11rhsL = -2*alphaL*At11L + + epsdiss1*PDdissipationNth1gt11 + epsdiss2*PDdissipationNth2gt11 + + epsdiss3*PDdissipationNth3gt11 + 2*(gt12L*PDstandardNth1beta2 + + gt13L*PDstandardNth1beta3) + gt11L*(kfourthird*PDstandardNth1beta1 - + ktwothird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3) + + beta1L*PDupwindNthAnti1gt11 + beta2L*PDupwindNthAnti2gt11 + + beta3L*PDupwindNthAnti3gt11 + PDupwindNthSymm1gt11*Abs(beta1L) + + PDupwindNthSymm2gt11*Abs(beta2L) + PDupwindNthSymm3gt11*Abs(beta3L); + + CCTK_REAL_VEC gt12rhsL = -2*alphaL*At12L + + epsdiss1*PDdissipationNth1gt12 + epsdiss2*PDdissipationNth2gt12 + + epsdiss3*PDdissipationNth3gt12 + gt22L*PDstandardNth1beta2 + + gt23L*PDstandardNth1beta3 + gt11L*PDstandardNth2beta1 + + gt13L*PDstandardNth2beta3 + gt12L*(kthird*(PDstandardNth1beta1 + + PDstandardNth2beta2) - ktwothird*PDstandardNth3beta3) + + beta1L*PDupwindNthAnti1gt12 + beta2L*PDupwindNthAnti2gt12 + + beta3L*PDupwindNthAnti3gt12 + PDupwindNthSymm1gt12*Abs(beta1L) + + PDupwindNthSymm2gt12*Abs(beta2L) + PDupwindNthSymm3gt12*Abs(beta3L); + + CCTK_REAL_VEC gt13rhsL = -2*alphaL*At13L + + epsdiss1*PDdissipationNth1gt13 + epsdiss2*PDdissipationNth2gt13 + + epsdiss3*PDdissipationNth3gt13 + gt23L*PDstandardNth1beta2 + + gt33L*PDstandardNth1beta3 + gt11L*PDstandardNth3beta1 + + gt12L*PDstandardNth3beta2 + gt13L*(-(ktwothird*PDstandardNth2beta2) + + kthird*(PDstandardNth1beta1 + PDstandardNth3beta3)) + + beta1L*PDupwindNthAnti1gt13 + beta2L*PDupwindNthAnti2gt13 + + beta3L*PDupwindNthAnti3gt13 + PDupwindNthSymm1gt13*Abs(beta1L) + + PDupwindNthSymm2gt13*Abs(beta2L) + PDupwindNthSymm3gt13*Abs(beta3L); + + CCTK_REAL_VEC gt22rhsL = -2*alphaL*At22L + + epsdiss1*PDdissipationNth1gt22 + epsdiss2*PDdissipationNth2gt22 + + epsdiss3*PDdissipationNth3gt22 + 2*(gt12L*PDstandardNth2beta1 + + gt23L*PDstandardNth2beta3) + gt22L*(-(ktwothird*PDstandardNth1beta1) + + kfourthird*PDstandardNth2beta2 - ktwothird*PDstandardNth3beta3) + + beta1L*PDupwindNthAnti1gt22 + beta2L*PDupwindNthAnti2gt22 + + beta3L*PDupwindNthAnti3gt22 + PDupwindNthSymm1gt22*Abs(beta1L) + + PDupwindNthSymm2gt22*Abs(beta2L) + PDupwindNthSymm3gt22*Abs(beta3L); + + CCTK_REAL_VEC gt23rhsL = -2*alphaL*At23L + + epsdiss1*PDdissipationNth1gt23 + epsdiss2*PDdissipationNth2gt23 + + epsdiss3*PDdissipationNth3gt23 + gt13L*PDstandardNth2beta1 + + gt33L*PDstandardNth2beta3 + gt12L*PDstandardNth3beta1 + + gt22L*PDstandardNth3beta2 + gt23L*(-(ktwothird*PDstandardNth1beta1) + + kthird*(PDstandardNth2beta2 + PDstandardNth3beta3)) + + beta1L*PDupwindNthAnti1gt23 + beta2L*PDupwindNthAnti2gt23 + + beta3L*PDupwindNthAnti3gt23 + PDupwindNthSymm1gt23*Abs(beta1L) + + PDupwindNthSymm2gt23*Abs(beta2L) + PDupwindNthSymm3gt23*Abs(beta3L); + + CCTK_REAL_VEC gt33rhsL = -2*alphaL*At33L + + epsdiss1*PDdissipationNth1gt33 + epsdiss2*PDdissipationNth2gt33 + + epsdiss3*PDdissipationNth3gt33 - gt33L*ktwothird*PDstandardNth1beta1 - + gt33L*ktwothird*PDstandardNth2beta2 + 2*gt13L*PDstandardNth3beta1 + + 2*gt23L*PDstandardNth3beta2 + gt33L*kfourthird*PDstandardNth3beta3 + + beta1L*PDupwindNthAnti1gt33 + beta2L*PDupwindNthAnti2gt33 + + beta3L*PDupwindNthAnti3gt33 + PDupwindNthSymm1gt33*Abs(beta1L) + + PDupwindNthSymm2gt33*Abs(beta2L) + PDupwindNthSymm3gt33*Abs(beta3L); + + CCTK_REAL_VEC dotXt1 = kthird*(7*(gtu21*PDstandardNth12beta1 + + gtu31*PDstandardNth13beta1) + gtu11*(4*PDstandardNth11beta1 + + PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu21*(PDstandardNth22beta2 + PDstandardNth23beta3) + + 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) + + 3*(epsdiss1*PDdissipationNth1Xt1 + epsdiss2*PDdissipationNth2Xt1 + + epsdiss3*PDdissipationNth3Xt1 + gtu22*PDstandardNth22beta1 + + gtu33*PDstandardNth33beta1 + beta1L*PDupwindNthAnti1Xt1 + + beta2L*PDupwindNthAnti2Xt1 + beta3L*PDupwindNthAnti3Xt1 + + PDupwindNthSymm1Xt1*Abs(beta1L) + PDupwindNthSymm2Xt1*Abs(beta2L) + + PDupwindNthSymm3Xt1*Abs(beta3L))); + + CCTK_REAL_VEC dotXt2 = kthird*(gtu21*(PDstandardNth11beta1 + + 7*PDstandardNth12beta2 + PDstandardNth13beta3) + + gtu22*(PDstandardNth12beta1 + 4*PDstandardNth22beta2 + + PDstandardNth23beta3) + 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) + + 3*(epsdiss1*PDdissipationNth1Xt2 + epsdiss2*PDdissipationNth2Xt2 + + epsdiss3*PDdissipationNth3Xt2 + gtu11*PDstandardNth11beta2 + + gtu33*PDstandardNth33beta2 + beta1L*PDupwindNthAnti1Xt2 + + beta2L*PDupwindNthAnti2Xt2 + beta3L*PDupwindNthAnti3Xt2 + + PDupwindNthSymm1Xt2*Abs(beta1L) + PDupwindNthSymm2Xt2*Abs(beta2L) + + PDupwindNthSymm3Xt2*Abs(beta3L))); + + CCTK_REAL_VEC dotXt3 = kthird*(gtu31*(PDstandardNth11beta1 + + PDstandardNth12beta2 + 7*PDstandardNth13beta3) + + 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) + + 3*(epsdiss1*PDdissipationNth1Xt3 + epsdiss2*PDdissipationNth2Xt3 + + epsdiss3*PDdissipationNth3Xt3 + gtu11*PDstandardNth11beta3 + + gtu22*PDstandardNth22beta3 + beta1L*PDupwindNthAnti1Xt3 + + beta2L*PDupwindNthAnti2Xt3 + beta3L*PDupwindNthAnti3Xt3 + + PDupwindNthSymm1Xt3*Abs(beta1L) + PDupwindNthSymm2Xt3*Abs(beta2L) + + PDupwindNthSymm3Xt3*Abs(beta3L))); + + CCTK_REAL_VEC Xt1rhsL = dotXt1; + + CCTK_REAL_VEC Xt2rhsL = dotXt2; + + CCTK_REAL_VEC Xt3rhsL = dotXt3; + + CCTK_REAL_VEC dottrK = epsdiss1*PDdissipationNth1trK + + epsdiss2*PDdissipationNth2trK + epsdiss3*PDdissipationNth3trK + + beta1L*PDupwindNthAnti1trK + beta2L*PDupwindNthAnti2trK + + beta3L*PDupwindNthAnti3trK - em4phi*(gtu11*PDstandardNth11alpha + + gtu22*PDstandardNth22alpha + gtu33*(PDstandardNth33alpha + + 2*cdphi3*PDstandardNth3alpha) + 2*(gtu21*PDstandardNth12alpha + + gtu31*(PDstandardNth13alpha + cdphi1*PDstandardNth3alpha) + + gtu32*(PDstandardNth23alpha + cdphi2*PDstandardNth3alpha)) + + PDstandardNth1alpha*(2*(cdphi1*gtu11 + cdphi2*gtu21 + cdphi3*gtu31) - + Xtn1) + PDstandardNth2alpha*(2*(cdphi1*gtu21 + cdphi2*gtu22 + + cdphi3*gtu32) - Xtn2) - PDstandardNth3alpha*Xtn3) + + PDupwindNthSymm1trK*Abs(beta1L) + PDupwindNthSymm2trK*Abs(beta2L) + + PDupwindNthSymm3trK*Abs(beta3L) + alphaL*(2*(Atm12*Atm21 + Atm13*Atm31 + + Atm23*Atm32) + 12.56637061435917295385057353311801153679*(rho + trS) + + SQR(Atm11) + SQR(Atm22) + SQR(Atm33) + kthird*SQR(trKL)); + + CCTK_REAL_VEC trKrhsL = dottrK; + + CCTK_REAL_VEC alpharhsL = epsdiss1*PDdissipationNth1alpha + + epsdiss2*PDdissipationNth2alpha + epsdiss3*PDdissipationNth3alpha + + LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1alpha + + beta2L*PDupwindNthAnti2alpha + beta3L*PDupwindNthAnti3alpha + + PDupwindNthSymm1alpha*Abs(beta1L) + PDupwindNthSymm2alpha*Abs(beta2L) + + PDupwindNthSymm3alpha*Abs(beta3L)) - harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN); + + CCTK_REAL_VEC ArhsL = (-(AL*AlphaDriver) + dottrK)*LapseACoeff + + epsdiss1*PDdissipationNth1A + epsdiss2*PDdissipationNth2A + + epsdiss3*PDdissipationNth3A + + LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1A + + beta2L*PDupwindNthAnti2A + beta3L*PDupwindNthAnti3A + + PDupwindNthSymm1A*Abs(beta1L) + PDupwindNthSymm2A*Abs(beta2L) + + PDupwindNthSymm3A*Abs(beta3L)); + + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); + + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); + + CCTK_REAL_VEC beta1rhsL = epsdiss1*PDdissipationNth1beta1 + + epsdiss2*PDdissipationNth2beta1 + epsdiss3*PDdissipationNth3beta1 + + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta1 + + beta2L*PDupwindNthAnti2beta1 + beta3L*PDupwindNthAnti3beta1 + + PDupwindNthSymm1beta1*Abs(beta1L) + PDupwindNthSymm2beta1*Abs(beta2L) + + PDupwindNthSymm3beta1*Abs(beta3L)); + + CCTK_REAL_VEC beta2rhsL = epsdiss1*PDdissipationNth1beta2 + + epsdiss2*PDdissipationNth2beta2 + epsdiss3*PDdissipationNth3beta2 + + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta2 + + beta2L*PDupwindNthAnti2beta2 + beta3L*PDupwindNthAnti3beta2 + + PDupwindNthSymm1beta2*Abs(beta1L) + PDupwindNthSymm2beta2*Abs(beta2L) + + PDupwindNthSymm3beta2*Abs(beta3L)); + + CCTK_REAL_VEC beta3rhsL = epsdiss1*PDdissipationNth1beta3 + + epsdiss2*PDdissipationNth2beta3 + epsdiss3*PDdissipationNth3beta3 + + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta3 + + beta2L*PDupwindNthAnti2beta3 + beta3L*PDupwindNthAnti3beta3 + + PDupwindNthSymm1beta3*Abs(beta1L) + PDupwindNthSymm2beta3*Abs(beta2L) + + PDupwindNthSymm3beta3*Abs(beta3L)); + + CCTK_REAL_VEC B1rhsL = epsdiss1*PDdissipationNth1B1 + + epsdiss2*PDdissipationNth2B1 + epsdiss3*PDdissipationNth3B1 + (dotXt1 - + B1L*BetaDriver*eta)*ShiftBCoeff + + ShiftAdvectionCoeff*(beta1L*(PDupwindNthAnti1B1 - PDupwindNthAnti1Xt1) + + beta2L*(PDupwindNthAnti2B1 - PDupwindNthAnti2Xt1) + + beta3L*(PDupwindNthAnti3B1 - PDupwindNthAnti3Xt1) + (PDupwindNthSymm1B1 + - PDupwindNthSymm1Xt1)*Abs(beta1L) + (PDupwindNthSymm2B1 - + PDupwindNthSymm2Xt1)*Abs(beta2L) + (PDupwindNthSymm3B1 - + PDupwindNthSymm3Xt1)*Abs(beta3L)); + + CCTK_REAL_VEC B2rhsL = epsdiss1*PDdissipationNth1B2 + + epsdiss2*PDdissipationNth2B2 + epsdiss3*PDdissipationNth3B2 + (dotXt2 - + B2L*BetaDriver*eta)*ShiftBCoeff + + ShiftAdvectionCoeff*(beta1L*(PDupwindNthAnti1B2 - PDupwindNthAnti1Xt2) + + beta2L*(PDupwindNthAnti2B2 - PDupwindNthAnti2Xt2) + + beta3L*(PDupwindNthAnti3B2 - PDupwindNthAnti3Xt2) + (PDupwindNthSymm1B2 + - PDupwindNthSymm1Xt2)*Abs(beta1L) + (PDupwindNthSymm2B2 - + PDupwindNthSymm2Xt2)*Abs(beta2L) + (PDupwindNthSymm3B2 - + PDupwindNthSymm3Xt2)*Abs(beta3L)); + + CCTK_REAL_VEC B3rhsL = epsdiss1*PDdissipationNth1B3 + + epsdiss2*PDdissipationNth2B3 + epsdiss3*PDdissipationNth3B3 + (dotXt3 - + B3L*BetaDriver*eta)*ShiftBCoeff + + ShiftAdvectionCoeff*(beta1L*(PDupwindNthAnti1B3 - PDupwindNthAnti1Xt3) + + beta2L*(PDupwindNthAnti2B3 - PDupwindNthAnti2Xt3) + + beta3L*(PDupwindNthAnti3B3 - PDupwindNthAnti3Xt3) + (PDupwindNthSymm1B3 + - PDupwindNthSymm1Xt3)*Abs(beta1L) + (PDupwindNthSymm2B3 - + PDupwindNthSymm2Xt3)*Abs(beta2L) + (PDupwindNthSymm3B3 - + PDupwindNthSymm3Xt3)*Abs(beta3L)); + + + /* Copy local copies back to grid functions */ + vec_store_nta(alpharhs[index],alpharhsL); + vec_store_nta(Arhs[index],ArhsL); + vec_store_nta(B1rhs[index],B1rhsL); + vec_store_nta(B2rhs[index],B2rhsL); + vec_store_nta(B3rhs[index],B3rhsL); + vec_store_nta(beta1rhs[index],beta1rhsL); + vec_store_nta(beta2rhs[index],beta2rhsL); + vec_store_nta(beta3rhs[index],beta3rhsL); + vec_store_nta(gt11rhs[index],gt11rhsL); + vec_store_nta(gt12rhs[index],gt12rhsL); + vec_store_nta(gt13rhs[index],gt13rhsL); + vec_store_nta(gt22rhs[index],gt22rhsL); + vec_store_nta(gt23rhs[index],gt23rhsL); + vec_store_nta(gt33rhs[index],gt33rhsL); + vec_store_nta(phirhs[index],phirhsL); + vec_store_nta(trKrhs[index],trKrhsL); + vec_store_nta(Xt1rhs[index],Xt1rhsL); + vec_store_nta(Xt2rhs[index],Xt2rhsL); + vec_store_nta(Xt3rhs[index],Xt3rhsL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_O8_RHS1); +} + +extern "C" void ML_BSSN_O8_RHS1(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O8_RHS1_Body); +} diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_RHS2.c b/ML_BSSN_O8/src/ML_BSSN_O8_RHS2.c deleted file mode 100644 index e52b1f5..0000000 --- a/ML_BSSN_O8/src/ML_BSSN_O8_RHS2.c +++ /dev/null @@ -1,784 +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_O8_RHS2_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O8_RHS2_Body"); - } - - if (cctk_iteration % ML_BSSN_O8_RHS2_calc_every != ML_BSSN_O8_RHS2_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 p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_O8_RHS2, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1alpha = INITVALUE; - // CCTK_REAL PDstandardNth2alpha = INITVALUE; - // CCTK_REAL PDstandardNth3alpha = INITVALUE; - // CCTK_REAL PDstandardNth11alpha = INITVALUE; - // CCTK_REAL PDstandardNth22alpha = INITVALUE; - // CCTK_REAL PDstandardNth33alpha = INITVALUE; - // CCTK_REAL PDstandardNth12alpha = INITVALUE; - // CCTK_REAL PDstandardNth13alpha = INITVALUE; - // CCTK_REAL PDstandardNth23alpha = INITVALUE; - // CCTK_REAL PDstandardNth1beta1 = INITVALUE; - // CCTK_REAL PDstandardNth2beta1 = INITVALUE; - // CCTK_REAL PDstandardNth3beta1 = INITVALUE; - // CCTK_REAL PDstandardNth1beta2 = INITVALUE; - // CCTK_REAL PDstandardNth2beta2 = INITVALUE; - // CCTK_REAL PDstandardNth3beta2 = INITVALUE; - // CCTK_REAL PDstandardNth1beta3 = INITVALUE; - // CCTK_REAL PDstandardNth2beta3 = INITVALUE; - // CCTK_REAL PDstandardNth3beta3 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth11phi = INITVALUE; - // CCTK_REAL PDstandardNth22phi = INITVALUE; - // CCTK_REAL PDstandardNth33phi = INITVALUE; - // CCTK_REAL PDstandardNth12phi = INITVALUE; - // CCTK_REAL PDstandardNth13phi = INITVALUE; - // CCTK_REAL PDstandardNth23phi = INITVALUE; - // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; - - /* Assign local copies of 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 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 */ - 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); - CCTK_REAL const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); - CCTK_REAL const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); - CCTK_REAL const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); - CCTK_REAL const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); - CCTK_REAL const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); - CCTK_REAL const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); - CCTK_REAL const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); - CCTK_REAL const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); - CCTK_REAL const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); - CCTK_REAL const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); - CCTK_REAL const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); - CCTK_REAL const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); - CCTK_REAL const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); - CCTK_REAL const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); - CCTK_REAL const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); - 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); - CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - 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 Gtl111 = khalf*PDstandardNth1gt11; - - CCTK_REAL Gtl112 = khalf*PDstandardNth2gt11; - - CCTK_REAL Gtl113 = khalf*PDstandardNth3gt11; - - CCTK_REAL Gtl122 = -(khalf*PDstandardNth1gt22) + PDstandardNth2gt12; - - CCTK_REAL Gtl123 = khalf*(-PDstandardNth1gt23 + PDstandardNth2gt13 + - PDstandardNth3gt12); - - CCTK_REAL Gtl133 = -(khalf*PDstandardNth1gt33) + PDstandardNth3gt13; - - CCTK_REAL Gtl211 = PDstandardNth1gt12 - khalf*PDstandardNth2gt11; - - CCTK_REAL Gtl212 = khalf*PDstandardNth1gt22; - - CCTK_REAL Gtl213 = khalf*(PDstandardNth1gt23 - PDstandardNth2gt13 + - PDstandardNth3gt12); - - CCTK_REAL Gtl222 = khalf*PDstandardNth2gt22; - - CCTK_REAL Gtl223 = khalf*PDstandardNth3gt22; - - CCTK_REAL Gtl233 = -(khalf*PDstandardNth2gt33) + PDstandardNth3gt23; - - CCTK_REAL Gtl311 = PDstandardNth1gt13 - khalf*PDstandardNth3gt11; - - CCTK_REAL Gtl312 = khalf*(PDstandardNth1gt23 + PDstandardNth2gt13 - - PDstandardNth3gt12); - - CCTK_REAL Gtl313 = khalf*PDstandardNth1gt33; - - CCTK_REAL Gtl322 = PDstandardNth2gt23 - khalf*PDstandardNth3gt22; - - CCTK_REAL Gtl323 = khalf*PDstandardNth2gt33; - - CCTK_REAL Gtl333 = khalf*PDstandardNth3gt33; - - CCTK_REAL Gtlu111 = Gtl111*gtu11 + Gtl112*gtu21 + Gtl113*gtu31; - - CCTK_REAL Gtlu112 = Gtl111*gtu21 + Gtl112*gtu22 + Gtl113*gtu32; - - CCTK_REAL Gtlu113 = Gtl111*gtu31 + Gtl112*gtu32 + Gtl113*gtu33; - - CCTK_REAL Gtlu121 = Gtl112*gtu11 + Gtl122*gtu21 + Gtl123*gtu31; - - CCTK_REAL Gtlu122 = Gtl112*gtu21 + Gtl122*gtu22 + Gtl123*gtu32; - - CCTK_REAL Gtlu123 = Gtl112*gtu31 + Gtl122*gtu32 + Gtl123*gtu33; - - CCTK_REAL Gtlu131 = Gtl113*gtu11 + Gtl123*gtu21 + Gtl133*gtu31; - - CCTK_REAL Gtlu132 = Gtl113*gtu21 + Gtl123*gtu22 + Gtl133*gtu32; - - CCTK_REAL Gtlu133 = Gtl113*gtu31 + Gtl123*gtu32 + Gtl133*gtu33; - - CCTK_REAL Gtlu211 = Gtl211*gtu11 + Gtl212*gtu21 + Gtl213*gtu31; - - CCTK_REAL Gtlu212 = Gtl211*gtu21 + Gtl212*gtu22 + Gtl213*gtu32; - - CCTK_REAL Gtlu213 = Gtl211*gtu31 + Gtl212*gtu32 + Gtl213*gtu33; - - CCTK_REAL Gtlu221 = Gtl212*gtu11 + Gtl222*gtu21 + Gtl223*gtu31; - - CCTK_REAL Gtlu222 = Gtl212*gtu21 + Gtl222*gtu22 + Gtl223*gtu32; - - CCTK_REAL Gtlu223 = Gtl212*gtu31 + Gtl222*gtu32 + Gtl223*gtu33; - - CCTK_REAL Gtlu231 = Gtl213*gtu11 + Gtl223*gtu21 + Gtl233*gtu31; - - CCTK_REAL Gtlu232 = Gtl213*gtu21 + Gtl223*gtu22 + Gtl233*gtu32; - - CCTK_REAL Gtlu233 = Gtl213*gtu31 + Gtl223*gtu32 + Gtl233*gtu33; - - CCTK_REAL Gtlu311 = Gtl311*gtu11 + Gtl312*gtu21 + Gtl313*gtu31; - - CCTK_REAL Gtlu312 = Gtl311*gtu21 + Gtl312*gtu22 + Gtl313*gtu32; - - CCTK_REAL Gtlu313 = Gtl311*gtu31 + Gtl312*gtu32 + Gtl313*gtu33; - - CCTK_REAL Gtlu321 = Gtl312*gtu11 + Gtl322*gtu21 + Gtl323*gtu31; - - CCTK_REAL Gtlu322 = Gtl312*gtu21 + Gtl322*gtu22 + Gtl323*gtu32; - - CCTK_REAL Gtlu323 = Gtl312*gtu31 + Gtl322*gtu32 + Gtl323*gtu33; - - CCTK_REAL Gtlu331 = Gtl313*gtu11 + Gtl323*gtu21 + Gtl333*gtu31; - - CCTK_REAL Gtlu332 = Gtl313*gtu21 + Gtl323*gtu22 + Gtl333*gtu32; - - CCTK_REAL Gtlu333 = Gtl313*gtu31 + Gtl323*gtu32 + Gtl333*gtu33; - - CCTK_REAL Gt111 = Gtl111*gtu11 + Gtl211*gtu21 + Gtl311*gtu31; - - CCTK_REAL Gt211 = Gtl111*gtu21 + Gtl211*gtu22 + Gtl311*gtu32; - - CCTK_REAL Gt311 = Gtl111*gtu31 + Gtl211*gtu32 + Gtl311*gtu33; - - CCTK_REAL Gt112 = Gtl112*gtu11 + Gtl212*gtu21 + Gtl312*gtu31; - - CCTK_REAL Gt212 = Gtl112*gtu21 + Gtl212*gtu22 + Gtl312*gtu32; - - CCTK_REAL Gt312 = Gtl112*gtu31 + Gtl212*gtu32 + Gtl312*gtu33; - - CCTK_REAL Gt113 = Gtl113*gtu11 + Gtl213*gtu21 + Gtl313*gtu31; - - CCTK_REAL Gt213 = Gtl113*gtu21 + Gtl213*gtu22 + Gtl313*gtu32; - - CCTK_REAL Gt313 = Gtl113*gtu31 + Gtl213*gtu32 + Gtl313*gtu33; - - CCTK_REAL Gt122 = Gtl122*gtu11 + Gtl222*gtu21 + Gtl322*gtu31; - - CCTK_REAL Gt222 = Gtl122*gtu21 + Gtl222*gtu22 + Gtl322*gtu32; - - CCTK_REAL Gt322 = Gtl122*gtu31 + Gtl222*gtu32 + Gtl322*gtu33; - - CCTK_REAL Gt123 = Gtl123*gtu11 + Gtl223*gtu21 + Gtl323*gtu31; - - CCTK_REAL Gt223 = Gtl123*gtu21 + Gtl223*gtu22 + Gtl323*gtu32; - - CCTK_REAL Gt323 = Gtl123*gtu31 + Gtl223*gtu32 + Gtl323*gtu33; - - CCTK_REAL Gt133 = Gtl133*gtu11 + Gtl233*gtu21 + Gtl333*gtu31; - - CCTK_REAL Gt233 = Gtl133*gtu21 + Gtl233*gtu22 + Gtl333*gtu32; - - CCTK_REAL Gt333 = Gtl133*gtu31 + Gtl233*gtu32 + Gtl333*gtu33; - - 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 = 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 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 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 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 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 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 Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - - CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - - CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - - CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - - CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - - CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - - CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - - CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - - CCTK_REAL em4phi = INV(e4phi); - - CCTK_REAL g11 = e4phi*gt11L; - - CCTK_REAL g12 = e4phi*gt12L; - - CCTK_REAL g13 = e4phi*gt13L; - - CCTK_REAL g22 = e4phi*gt22L; - - CCTK_REAL g23 = e4phi*gt23L; - - CCTK_REAL g33 = e4phi*gt33L; - - 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 R23 = Rphi23 + Rt23; - - CCTK_REAL R33 = Rphi33 + Rt33; - - CCTK_REAL trS = eTxxL*gu11 + eTyyL*gu22 + 2*(eTxyL*gu21 + eTxzL*gu31 + - eTyzL*gu32) + eTzzL*gu33; - - CCTK_REAL Ats11 = -PDstandardNth11alpha + (4*cdphi1 + - Gt111)*PDstandardNth1alpha + Gt211*PDstandardNth2alpha + - Gt311*PDstandardNth3alpha + alphaL*R11; - - CCTK_REAL Ats12 = -PDstandardNth12alpha + (2*cdphi2 + - Gt112)*PDstandardNth1alpha + (2*cdphi1 + Gt212)*PDstandardNth2alpha + - Gt312*PDstandardNth3alpha + alphaL*R12; - - CCTK_REAL Ats13 = -PDstandardNth13alpha + (2*cdphi3 + - Gt113)*PDstandardNth1alpha + Gt213*PDstandardNth2alpha + (2*cdphi1 + - Gt313)*PDstandardNth3alpha + alphaL*R13; - - CCTK_REAL Ats22 = Gt122*PDstandardNth1alpha - PDstandardNth22alpha + - (4*cdphi2 + Gt222)*PDstandardNth2alpha + Gt322*PDstandardNth3alpha + - alphaL*R22; - - CCTK_REAL Ats23 = Gt123*PDstandardNth1alpha - PDstandardNth23alpha + - (2*cdphi3 + Gt223)*PDstandardNth2alpha + (2*cdphi2 + - Gt323)*PDstandardNth3alpha + alphaL*R23; - - CCTK_REAL Ats33 = Gt133*PDstandardNth1alpha + - Gt233*PDstandardNth2alpha - PDstandardNth33alpha + (4*cdphi3 + - Gt333)*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)); - - - /* Copy local copies back to grid functions */ - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - } - LC_ENDLOOP3 (ML_BSSN_O8_RHS2); -} - -void ML_BSSN_O8_RHS2(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O8_RHS2_Body); -} diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_RHS2.cc b/ML_BSSN_O8/src/ML_BSSN_O8_RHS2.cc new file mode 100644 index 0000000..a794e62 --- /dev/null +++ b/ML_BSSN_O8/src/ML_BSSN_O8_RHS2.cc @@ -0,0 +1,1182 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_O8_RHS2_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O8_RHS2_Body"); + } + + if (cctk_iteration % ML_BSSN_O8_RHS2_calc_every != ML_BSSN_O8_RHS2_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 p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; + CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; + CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; + CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; + CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; + CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; + CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; + CCTK_REAL const p1o840dx = INV(dx)/840.; + CCTK_REAL const p1o840dy = INV(dy)/840.; + CCTK_REAL const p1o840dz = INV(dz)/840.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o840dx = -INV(dx)/840.; + CCTK_REAL const pm1o840dy = -INV(dy)/840.; + CCTK_REAL const pm1o840dz = -INV(dz)/840.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_O8_RHS2, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDstandardNth1alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13alpha = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23alpha = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At11 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At11 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At12 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At12 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At13 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At13 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At22 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At22 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At23 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At23 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth1At33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth2At33 = INITVALUE; + // CCTK_REAL_VEC PDdissipationNth3At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3At33 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; + CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; + CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; + CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; + CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; + CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDstandardNth1alpha = PDstandardNth1(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth2alpha = PDstandardNth2(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth3alpha = PDstandardNth3(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth11alpha = PDstandardNth11(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth22alpha = PDstandardNth22(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth33alpha = PDstandardNth33(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth12alpha = PDstandardNth12(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth13alpha = PDstandardNth13(alpha, i, j, k); + CCTK_REAL_VEC const PDstandardNth23alpha = PDstandardNth23(alpha, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At11 = PDdissipationNth1(At11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At11 = PDdissipationNth2(At11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At11 = PDdissipationNth3(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At11 = PDupwindNthAnti1(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At11 = PDupwindNthSymm1(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At11 = PDupwindNthAnti2(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At11 = PDupwindNthSymm2(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At11 = PDupwindNthAnti3(At11, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At11 = PDupwindNthSymm3(At11, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At12 = PDdissipationNth1(At12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At12 = PDdissipationNth2(At12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At12 = PDdissipationNth3(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At12 = PDupwindNthAnti1(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At12 = PDupwindNthSymm1(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At12 = PDupwindNthAnti2(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At12 = PDupwindNthSymm2(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At12 = PDupwindNthAnti3(At12, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At12 = PDupwindNthSymm3(At12, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At13 = PDdissipationNth1(At13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At13 = PDdissipationNth2(At13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At13 = PDdissipationNth3(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At13 = PDupwindNthAnti1(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At13 = PDupwindNthSymm1(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At13 = PDupwindNthAnti2(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At13 = PDupwindNthSymm2(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At13 = PDupwindNthAnti3(At13, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At13 = PDupwindNthSymm3(At13, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At22 = PDdissipationNth1(At22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At22 = PDdissipationNth2(At22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At22 = PDdissipationNth3(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At22 = PDupwindNthAnti1(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At22 = PDupwindNthSymm1(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At22 = PDupwindNthAnti2(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At22 = PDupwindNthSymm2(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At22 = PDupwindNthAnti3(At22, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At22 = PDupwindNthSymm3(At22, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At23 = PDdissipationNth1(At23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At23 = PDdissipationNth2(At23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At23 = PDdissipationNth3(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At23 = PDupwindNthAnti1(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At23 = PDupwindNthSymm1(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At23 = PDupwindNthAnti2(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At23 = PDupwindNthSymm2(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At23 = PDupwindNthAnti3(At23, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At23 = PDupwindNthSymm3(At23, i, j, k); + CCTK_REAL_VEC const PDdissipationNth1At33 = PDdissipationNth1(At33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth2At33 = PDdissipationNth2(At33, i, j, k); + CCTK_REAL_VEC const PDdissipationNth3At33 = PDdissipationNth3(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1At33 = PDupwindNthAnti1(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1At33 = PDupwindNthSymm1(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2At33 = PDupwindNthAnti2(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2At33 = PDupwindNthSymm2(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3At33 = PDupwindNthAnti3(At33, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3At33 = PDupwindNthSymm3(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta1 = PDstandardNth1(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta1 = PDstandardNth2(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta1 = PDstandardNth3(beta1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta2 = PDstandardNth1(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta2 = PDstandardNth2(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta2 = PDstandardNth3(beta2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1beta3 = PDstandardNth1(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2beta3 = PDstandardNth2(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3beta3 = PDstandardNth3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC epsdiss1 = EpsDiss; + + CCTK_REAL_VEC epsdiss2 = EpsDiss; + + CCTK_REAL_VEC epsdiss3 = EpsDiss; + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL_VEC Xtn1 = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL_VEC Xtn2 = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL_VEC Xtn3 = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL_VEC cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL_VEC cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL_VEC cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL_VEC fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + + CCTK_REAL_VEC cdphi211 = -(fac1*(-PDstandardNth11phi + + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); + + CCTK_REAL_VEC cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - + fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - + fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - + PDstandardNth22phi + Gt222*PDstandardNth2phi + + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); + + CCTK_REAL_VEC cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - + fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); + + CCTK_REAL_VEC cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + + Gt233*PDstandardNth2phi - PDstandardNth33phi + + Gt333*PDstandardNth3phi)) + fac2*SQR(PDstandardNth3phi); + + CCTK_REAL_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC 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_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + + CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + + CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + + CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + + CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + + CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + + CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + + CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + + CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + + CCTK_REAL_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + + CCTK_REAL_VEC em4phi = INV(e4phi); + + CCTK_REAL_VEC g11 = e4phi*gt11L; + + CCTK_REAL_VEC g12 = e4phi*gt12L; + + CCTK_REAL_VEC g13 = e4phi*gt13L; + + CCTK_REAL_VEC g22 = e4phi*gt22L; + + CCTK_REAL_VEC g23 = e4phi*gt23L; + + CCTK_REAL_VEC g33 = e4phi*gt33L; + + CCTK_REAL_VEC gu11 = em4phi*gtu11; + + CCTK_REAL_VEC gu21 = em4phi*gtu21; + + CCTK_REAL_VEC gu31 = em4phi*gtu31; + + CCTK_REAL_VEC gu22 = em4phi*gtu22; + + CCTK_REAL_VEC gu32 = em4phi*gtu32; + + CCTK_REAL_VEC gu33 = em4phi*gtu33; + + CCTK_REAL_VEC R11 = Rphi11 + Rt11; + + CCTK_REAL_VEC R12 = Rphi12 + Rt12; + + CCTK_REAL_VEC R13 = Rphi13 + Rt13; + + CCTK_REAL_VEC R22 = Rphi22 + Rt22; + + CCTK_REAL_VEC R23 = Rphi23 + Rt23; + + CCTK_REAL_VEC R33 = Rphi33 + Rt33; + + CCTK_REAL_VEC trS = em4phi*(eTxxL*gtu11 + eTyyL*gtu22 + 2*(eTxyL*gtu21 + + eTxzL*gtu31 + eTyzL*gtu32) + eTzzL*gtu33); + + CCTK_REAL_VEC Ats11 = -PDstandardNth11alpha + (4*cdphi1 + + Gt111)*PDstandardNth1alpha + Gt211*PDstandardNth2alpha + + Gt311*PDstandardNth3alpha + alphaL*R11; + + CCTK_REAL_VEC Ats12 = -PDstandardNth12alpha + (2*cdphi2 + + Gt112)*PDstandardNth1alpha + (2*cdphi1 + Gt212)*PDstandardNth2alpha + + Gt312*PDstandardNth3alpha + alphaL*R12; + + CCTK_REAL_VEC Ats13 = -PDstandardNth13alpha + (2*cdphi3 + + Gt113)*PDstandardNth1alpha + Gt213*PDstandardNth2alpha + (2*cdphi1 + + Gt313)*PDstandardNth3alpha + alphaL*R13; + + CCTK_REAL_VEC Ats22 = Gt122*PDstandardNth1alpha - PDstandardNth22alpha + + (4*cdphi2 + Gt222)*PDstandardNth2alpha + Gt322*PDstandardNth3alpha + + alphaL*R22; + + CCTK_REAL_VEC Ats23 = Gt123*PDstandardNth1alpha - PDstandardNth23alpha + + (2*cdphi3 + Gt223)*PDstandardNth2alpha + (2*cdphi2 + + Gt323)*PDstandardNth3alpha + alphaL*R23; + + CCTK_REAL_VEC Ats33 = Gt133*PDstandardNth1alpha + + Gt233*PDstandardNth2alpha - PDstandardNth33alpha + (4*cdphi3 + + Gt333)*PDstandardNth3alpha + alphaL*R33; + + CCTK_REAL_VEC trAts = Ats11*gu11 + Ats22*gu22 + 2*(Ats12*gu21 + + Ats13*gu31 + Ats23*gu32) + Ats33*gu33; + + CCTK_REAL_VEC At11rhsL = -2.*alphaL*(At11L*Atm11 + At12L*Atm21 + + At13L*Atm31) + epsdiss1*PDdissipationNth1At11 + + epsdiss2*PDdissipationNth2At11 + epsdiss3*PDdissipationNth3At11 + + 2.*(At12L*PDstandardNth1beta2 + At13L*PDstandardNth1beta3) + + beta1L*PDupwindNthAnti1At11 + beta2L*PDupwindNthAnti2At11 + + beta3L*PDupwindNthAnti3At11 + + At11L*(1.333333333333333333333333333333333333333*PDstandardNth1beta1 - + 0.6666666666666666666666666666666666666667*(PDstandardNth2beta2 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats11 - + 0.3333333333333333333333333333333333333333*g11*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxxL + + 8.377580409572781969233715688745341024526*g11*trS)) + + PDupwindNthSymm1At11*Abs(beta1L) + PDupwindNthSymm2At11*Abs(beta2L) + + PDupwindNthSymm3At11*Abs(beta3L); + + CCTK_REAL_VEC At12rhsL = -2.*alphaL*(At11L*Atm12 + At12L*Atm22 + + At13L*Atm32) + epsdiss1*PDdissipationNth1At12 + + epsdiss2*PDdissipationNth2At12 + epsdiss3*PDdissipationNth3At12 + + At22L*PDstandardNth1beta2 + At23L*PDstandardNth1beta3 + + At11L*PDstandardNth2beta1 + At13L*PDstandardNth2beta3 + + beta1L*PDupwindNthAnti1At12 + beta2L*PDupwindNthAnti2At12 + + beta3L*PDupwindNthAnti3At12 + + At12L*(0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + + PDstandardNth2beta2) - + 0.6666666666666666666666666666666666666667*PDstandardNth3beta3 + + alphaL*trKL) + em4phi*(Ats12 - + 0.3333333333333333333333333333333333333333*g12*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxyL + + 8.377580409572781969233715688745341024526*g12*trS)) + + PDupwindNthSymm1At12*Abs(beta1L) + PDupwindNthSymm2At12*Abs(beta2L) + + PDupwindNthSymm3At12*Abs(beta3L); + + CCTK_REAL_VEC At13rhsL = -2.*alphaL*(At11L*Atm13 + At12L*Atm23 + + At13L*Atm33) + epsdiss1*PDdissipationNth1At13 + + epsdiss2*PDdissipationNth2At13 + epsdiss3*PDdissipationNth3At13 + + At23L*PDstandardNth1beta2 + At33L*PDstandardNth1beta3 + + At11L*PDstandardNth3beta1 + At12L*PDstandardNth3beta2 + + beta1L*PDupwindNthAnti1At13 + beta2L*PDupwindNthAnti2At13 + + beta3L*PDupwindNthAnti3At13 + + At13L*(-0.6666666666666666666666666666666666666667*PDstandardNth2beta2 + + 0.3333333333333333333333333333333333333333*(PDstandardNth1beta1 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats13 - + 0.3333333333333333333333333333333333333333*g13*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTxzL + + 8.377580409572781969233715688745341024526*g13*trS)) + + PDupwindNthSymm1At13*Abs(beta1L) + PDupwindNthSymm2At13*Abs(beta2L) + + PDupwindNthSymm3At13*Abs(beta3L); + + CCTK_REAL_VEC At22rhsL = -2.*alphaL*(At12L*Atm12 + At22L*Atm22 + + At23L*Atm32) + epsdiss1*PDdissipationNth1At22 + + epsdiss2*PDdissipationNth2At22 + epsdiss3*PDdissipationNth3At22 + + 2.*(At12L*PDstandardNth2beta1 + At23L*PDstandardNth2beta3) + + beta1L*PDupwindNthAnti1At22 + beta2L*PDupwindNthAnti2At22 + + beta3L*PDupwindNthAnti3At22 + + At22L*(1.333333333333333333333333333333333333333*PDstandardNth2beta2 - + 0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats22 - + 0.3333333333333333333333333333333333333333*g22*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTyyL + + 8.377580409572781969233715688745341024526*g22*trS)) + + PDupwindNthSymm1At22*Abs(beta1L) + PDupwindNthSymm2At22*Abs(beta2L) + + PDupwindNthSymm3At22*Abs(beta3L); + + CCTK_REAL_VEC At23rhsL = -2.*alphaL*(At12L*Atm13 + At22L*Atm23 + + At23L*Atm33) + epsdiss1*PDdissipationNth1At23 + + epsdiss2*PDdissipationNth2At23 + epsdiss3*PDdissipationNth3At23 + + At13L*PDstandardNth2beta1 + At33L*PDstandardNth2beta3 + + At12L*PDstandardNth3beta1 + At22L*PDstandardNth3beta2 + + beta1L*PDupwindNthAnti1At23 + beta2L*PDupwindNthAnti2At23 + + beta3L*PDupwindNthAnti3At23 + + At23L*(-0.6666666666666666666666666666666666666667*PDstandardNth1beta1 + + 0.3333333333333333333333333333333333333333*(PDstandardNth2beta2 + + PDstandardNth3beta3) + alphaL*trKL) + em4phi*(Ats23 - + 0.3333333333333333333333333333333333333333*g23*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTyzL + + 8.377580409572781969233715688745341024526*g23*trS)) + + PDupwindNthSymm1At23*Abs(beta1L) + PDupwindNthSymm2At23*Abs(beta2L) + + PDupwindNthSymm3At23*Abs(beta3L); + + CCTK_REAL_VEC At33rhsL = -2.*alphaL*(At13L*Atm13 + At23L*Atm23 + + At33L*Atm33) + epsdiss1*PDdissipationNth1At33 + + epsdiss2*PDdissipationNth2At33 + epsdiss3*PDdissipationNth3At33 + + 2.*(At13L*PDstandardNth3beta1 + At23L*PDstandardNth3beta2) + + beta1L*PDupwindNthAnti1At33 + beta2L*PDupwindNthAnti2At33 + + beta3L*PDupwindNthAnti3At33 + + At33L*(-0.6666666666666666666666666666666666666667*(PDstandardNth1beta1 + + PDstandardNth2beta2) + + 1.333333333333333333333333333333333333333*PDstandardNth3beta3 + + alphaL*trKL) + em4phi*(Ats33 - + 0.3333333333333333333333333333333333333333*g33*trAts + + alphaL*(-25.13274122871834590770114706623602307358*eTzzL + + 8.377580409572781969233715688745341024526*g33*trS)) + + PDupwindNthSymm1At33*Abs(beta1L) + PDupwindNthSymm2At33*Abs(beta2L) + + PDupwindNthSymm3At33*Abs(beta3L); + + + /* Copy local copies back to grid functions */ + vec_store_nta(At11rhs[index],At11rhsL); + vec_store_nta(At12rhs[index],At12rhsL); + vec_store_nta(At13rhs[index],At13rhsL); + vec_store_nta(At22rhs[index],At22rhsL); + vec_store_nta(At23rhs[index],At23rhsL); + vec_store_nta(At33rhs[index],At33rhsL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_O8_RHS2); +} + +extern "C" void ML_BSSN_O8_RHS2(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O8_RHS2_Body); +} diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_RHSRadiativeBoundary.c b/ML_BSSN_O8/src/ML_BSSN_O8_RHSRadiativeBoundary.c deleted file mode 100644 index ffd2b52..0000000 --- a/ML_BSSN_O8/src/ML_BSSN_O8_RHSRadiativeBoundary.c +++ /dev/null @@ -1,292 +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_O8_RHSRadiativeBoundary_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O8_RHSRadiativeBoundary_Body"); - } - - if (cctk_iteration % ML_BSSN_O8_RHSRadiativeBoundary_calc_every != ML_BSSN_O8_RHSRadiativeBoundary_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 p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_O8_RHSRadiativeBoundary, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of 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 */ - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(normal[0]); - - int dir2 = Sign(normal[1]); - - int dir3 = Sign(normal[2]); - - CCTK_REAL detgt = 1; - - 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 em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - - 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 nn1 = normal[0]; - - CCTK_REAL nn2 = normal[1]; - - CCTK_REAL nn3 = normal[2]; - - CCTK_REAL nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; - - CCTK_REAL nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; - - CCTK_REAL nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; - - CCTK_REAL nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; - - CCTK_REAL nlen = pow(nlen2,0.5); - - CCTK_REAL su1 = nu1*INV(nlen); - - CCTK_REAL su2 = nu2*INV(nlen); - - CCTK_REAL su3 = nu3*INV(nlen); - - CCTK_REAL vg = pow(harmonicF,0.5); - - CCTK_REAL phirhsL = -((PDonesided1(phi, i, j, k)*su1 + - PDonesided2(phi, i, j, k)*su2 + PDonesided3(phi, i, j, k)*su3)*vg); - - CCTK_REAL gt11rhsL = -(PDonesided1(gt11, i, j, k)*su1) - - PDonesided2(gt11, i, j, k)*su2 - PDonesided3(gt11, 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 gt13rhsL = -(PDonesided1(gt13, i, j, k)*su1) - - PDonesided2(gt13, i, j, k)*su2 - PDonesided3(gt13, 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 gt23rhsL = -(PDonesided1(gt23, i, j, k)*su1) - - PDonesided2(gt23, i, j, k)*su2 - PDonesided3(gt23, 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 trKrhsL = -((PDonesided1(trK, i, j, k)*su1 + - PDonesided2(trK, i, j, k)*su2 + PDonesided3(trK, i, j, k)*su3)*vg); - - CCTK_REAL At11rhsL = -(PDonesided1(At11, i, j, k)*su1) - - PDonesided2(At11, i, j, k)*su2 - PDonesided3(At11, 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 At13rhsL = -(PDonesided1(At13, i, j, k)*su1) - - PDonesided2(At13, i, j, k)*su2 - PDonesided3(At13, 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 At23rhsL = -(PDonesided1(At23, i, j, k)*su1) - - PDonesided2(At23, i, j, k)*su2 - PDonesided3(At23, 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 Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*su1) - - PDonesided2(Xt1, i, j, k)*su2 - PDonesided3(Xt1, 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 Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*su1) - - PDonesided2(Xt3, i, j, k)*su2 - PDonesided3(Xt3, i, j, k)*su3; - - CCTK_REAL alpharhsL = -((PDonesided1(alpha, i, j, k)*su1 + - PDonesided2(alpha, i, j, k)*su2 + PDonesided3(alpha, 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 beta1rhsL = -(PDonesided1(beta1, i, j, k)*su1) - - PDonesided2(beta1, i, j, k)*su2 - PDonesided3(beta1, 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 beta3rhsL = -(PDonesided1(beta3, i, j, k)*su1) - - PDonesided2(beta3, i, j, k)*su2 - PDonesided3(beta3, 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 B2rhsL = -(PDonesided1(B2, i, j, k)*su1) - - PDonesided2(B2, i, j, k)*su2 - PDonesided3(B2, 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 */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; - } - LC_ENDLOOP3 (ML_BSSN_O8_RHSRadiativeBoundary); -} - -void ML_BSSN_O8_RHSRadiativeBoundary(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverBoundary(cctkGH, &ML_BSSN_O8_RHSRadiativeBoundary_Body); -} diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_RHSRadiativeBoundary.cc b/ML_BSSN_O8/src/ML_BSSN_O8_RHSRadiativeBoundary.cc new file mode 100644 index 0000000..6e55a35 --- /dev/null +++ b/ML_BSSN_O8/src/ML_BSSN_O8_RHSRadiativeBoundary.cc @@ -0,0 +1,303 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_O8_RHSRadiativeBoundary_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O8_RHSRadiativeBoundary_Body"); + } + + if (cctk_iteration % ML_BSSN_O8_RHSRadiativeBoundary_calc_every != ML_BSSN_O8_RHSRadiativeBoundary_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 p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; + CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; + CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; + CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; + CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; + CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; + CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; + CCTK_REAL const p1o840dx = INV(dx)/840.; + CCTK_REAL const p1o840dy = INV(dy)/840.; + CCTK_REAL const p1o840dz = INV(dz)/840.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o840dx = -INV(dx)/840.; + CCTK_REAL const pm1o840dy = -INV(dy)/840.; + CCTK_REAL const pm1o840dz = -INV(dz)/840.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_O8_RHSRadiativeBoundary, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(normal[0]); + + int dir2 = Sign(normal[1]); + + int dir3 = Sign(normal[2]); + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + + CCTK_REAL_VEC gu11 = em4phi*gtu11; + + CCTK_REAL_VEC gu21 = em4phi*gtu21; + + CCTK_REAL_VEC gu31 = em4phi*gtu31; + + CCTK_REAL_VEC gu22 = em4phi*gtu22; + + CCTK_REAL_VEC gu32 = em4phi*gtu32; + + CCTK_REAL_VEC gu33 = em4phi*gtu33; + + CCTK_REAL_VEC nn1 = normal[0]; + + CCTK_REAL_VEC nn2 = normal[1]; + + CCTK_REAL_VEC nn3 = normal[2]; + + CCTK_REAL_VEC nu1 = gu11*nn1 + gu21*nn2 + gu31*nn3; + + CCTK_REAL_VEC nu2 = gu21*nn1 + gu22*nn2 + gu32*nn3; + + CCTK_REAL_VEC nu3 = gu31*nn1 + gu32*nn2 + gu33*nn3; + + CCTK_REAL_VEC nlen2 = nn1*nu1 + nn2*nu2 + nn3*nu3; + + CCTK_REAL_VEC nlen = pow(nlen2,0.5); + + CCTK_REAL_VEC su1 = nu1*INV(nlen); + + CCTK_REAL_VEC su2 = nu2*INV(nlen); + + CCTK_REAL_VEC su3 = nu3*INV(nlen); + + CCTK_REAL_VEC vg = pow(harmonicF,0.5); + + CCTK_REAL_VEC phirhsL = -((PDonesided1(phi, i, j, k)*su1 + + PDonesided2(phi, i, j, k)*su2 + PDonesided3(phi, i, j, k)*su3)*vg); + + CCTK_REAL_VEC gt11rhsL = -(PDonesided1(gt11, i, j, k)*su1) - + PDonesided2(gt11, i, j, k)*su2 - PDonesided3(gt11, i, j, k)*su3; + + CCTK_REAL_VEC gt12rhsL = -(PDonesided1(gt12, i, j, k)*su1) - + PDonesided2(gt12, i, j, k)*su2 - PDonesided3(gt12, i, j, k)*su3; + + CCTK_REAL_VEC gt13rhsL = -(PDonesided1(gt13, i, j, k)*su1) - + PDonesided2(gt13, i, j, k)*su2 - PDonesided3(gt13, i, j, k)*su3; + + CCTK_REAL_VEC gt22rhsL = -(PDonesided1(gt22, i, j, k)*su1) - + PDonesided2(gt22, i, j, k)*su2 - PDonesided3(gt22, i, j, k)*su3; + + CCTK_REAL_VEC gt23rhsL = -(PDonesided1(gt23, i, j, k)*su1) - + PDonesided2(gt23, i, j, k)*su2 - PDonesided3(gt23, i, j, k)*su3; + + CCTK_REAL_VEC gt33rhsL = -(PDonesided1(gt33, i, j, k)*su1) - + PDonesided2(gt33, i, j, k)*su2 - PDonesided3(gt33, i, j, k)*su3; + + CCTK_REAL_VEC trKrhsL = -((PDonesided1(trK, i, j, k)*su1 + + PDonesided2(trK, i, j, k)*su2 + PDonesided3(trK, i, j, k)*su3)*vg); + + CCTK_REAL_VEC At11rhsL = -(PDonesided1(At11, i, j, k)*su1) - + PDonesided2(At11, i, j, k)*su2 - PDonesided3(At11, i, j, k)*su3; + + CCTK_REAL_VEC At12rhsL = -(PDonesided1(At12, i, j, k)*su1) - + PDonesided2(At12, i, j, k)*su2 - PDonesided3(At12, i, j, k)*su3; + + CCTK_REAL_VEC At13rhsL = -(PDonesided1(At13, i, j, k)*su1) - + PDonesided2(At13, i, j, k)*su2 - PDonesided3(At13, i, j, k)*su3; + + CCTK_REAL_VEC At22rhsL = -(PDonesided1(At22, i, j, k)*su1) - + PDonesided2(At22, i, j, k)*su2 - PDonesided3(At22, i, j, k)*su3; + + CCTK_REAL_VEC At23rhsL = -(PDonesided1(At23, i, j, k)*su1) - + PDonesided2(At23, i, j, k)*su2 - PDonesided3(At23, i, j, k)*su3; + + CCTK_REAL_VEC At33rhsL = -(PDonesided1(At33, i, j, k)*su1) - + PDonesided2(At33, i, j, k)*su2 - PDonesided3(At33, i, j, k)*su3; + + CCTK_REAL_VEC Xt1rhsL = -(PDonesided1(Xt1, i, j, k)*su1) - + PDonesided2(Xt1, i, j, k)*su2 - PDonesided3(Xt1, i, j, k)*su3; + + CCTK_REAL_VEC Xt2rhsL = -(PDonesided1(Xt2, i, j, k)*su1) - + PDonesided2(Xt2, i, j, k)*su2 - PDonesided3(Xt2, i, j, k)*su3; + + CCTK_REAL_VEC Xt3rhsL = -(PDonesided1(Xt3, i, j, k)*su1) - + PDonesided2(Xt3, i, j, k)*su2 - PDonesided3(Xt3, i, j, k)*su3; + + CCTK_REAL_VEC alpharhsL = -((PDonesided1(alpha, i, j, k)*su1 + + PDonesided2(alpha, i, j, k)*su2 + PDonesided3(alpha, i, j, + k)*su3)*vg); + + CCTK_REAL_VEC ArhsL = -((PDonesided1(A, i, j, k)*su1 + + PDonesided2(A, i, j, k)*su2 + PDonesided3(A, i, j, k)*su3)*vg); + + CCTK_REAL_VEC beta1rhsL = -(PDonesided1(beta1, i, j, k)*su1) - + PDonesided2(beta1, i, j, k)*su2 - PDonesided3(beta1, i, j, k)*su3; + + CCTK_REAL_VEC beta2rhsL = -(PDonesided1(beta2, i, j, k)*su1) - + PDonesided2(beta2, i, j, k)*su2 - PDonesided3(beta2, i, j, k)*su3; + + CCTK_REAL_VEC beta3rhsL = -(PDonesided1(beta3, i, j, k)*su1) - + PDonesided2(beta3, i, j, k)*su2 - PDonesided3(beta3, i, j, k)*su3; + + CCTK_REAL_VEC B1rhsL = -(PDonesided1(B1, i, j, k)*su1) - + PDonesided2(B1, i, j, k)*su2 - PDonesided3(B1, i, j, k)*su3; + + CCTK_REAL_VEC B2rhsL = -(PDonesided1(B2, i, j, k)*su1) - + PDonesided2(B2, i, j, k)*su2 - PDonesided3(B2, i, j, k)*su3; + + CCTK_REAL_VEC 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 */ + vec_store_nta(alpharhs[index],alpharhsL); + vec_store_nta(Arhs[index],ArhsL); + vec_store_nta(At11rhs[index],At11rhsL); + vec_store_nta(At12rhs[index],At12rhsL); + vec_store_nta(At13rhs[index],At13rhsL); + vec_store_nta(At22rhs[index],At22rhsL); + vec_store_nta(At23rhs[index],At23rhsL); + vec_store_nta(At33rhs[index],At33rhsL); + vec_store_nta(B1rhs[index],B1rhsL); + vec_store_nta(B2rhs[index],B2rhsL); + vec_store_nta(B3rhs[index],B3rhsL); + vec_store_nta(beta1rhs[index],beta1rhsL); + vec_store_nta(beta2rhs[index],beta2rhsL); + vec_store_nta(beta3rhs[index],beta3rhsL); + vec_store_nta(gt11rhs[index],gt11rhsL); + vec_store_nta(gt12rhs[index],gt12rhsL); + vec_store_nta(gt13rhs[index],gt13rhsL); + vec_store_nta(gt22rhs[index],gt22rhsL); + vec_store_nta(gt23rhs[index],gt23rhsL); + vec_store_nta(gt33rhs[index],gt33rhsL); + vec_store_nta(phirhs[index],phirhsL); + vec_store_nta(trKrhs[index],trKrhsL); + vec_store_nta(Xt1rhs[index],Xt1rhsL); + vec_store_nta(Xt2rhs[index],Xt2rhsL); + vec_store_nta(Xt3rhs[index],Xt3rhsL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_O8_RHSRadiativeBoundary); +} + +extern "C" void ML_BSSN_O8_RHSRadiativeBoundary(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverBoundary(cctkGH, &ML_BSSN_O8_RHSRadiativeBoundary_Body); +} diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_RHSStaticBoundary.c b/ML_BSSN_O8/src/ML_BSSN_O8_RHSStaticBoundary.cc index 5a85d7a..f2167da 100644 --- a/ML_BSSN_O8/src/ML_BSSN_O8_RHSStaticBoundary.c +++ b/ML_BSSN_O8/src/ML_BSSN_O8_RHSStaticBoundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O8_RHSStaticBoundary_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[]) +static void ML_BSSN_O8_RHSStaticBoundary_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; @@ -60,9 +61,18 @@ void ML_BSSN_O8_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int co CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; @@ -93,88 +103,89 @@ void ML_BSSN_O8_RHSStaticBoundary_Body(cGH const * restrict const cctkGH, int co /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL phirhsL = 0; + CCTK_REAL_VEC phirhsL = 0; - CCTK_REAL gt11rhsL = 0; + CCTK_REAL_VEC gt11rhsL = 0; - CCTK_REAL gt12rhsL = 0; + CCTK_REAL_VEC gt12rhsL = 0; - CCTK_REAL gt13rhsL = 0; + CCTK_REAL_VEC gt13rhsL = 0; - CCTK_REAL gt22rhsL = 0; + CCTK_REAL_VEC gt22rhsL = 0; - CCTK_REAL gt23rhsL = 0; + CCTK_REAL_VEC gt23rhsL = 0; - CCTK_REAL gt33rhsL = 0; + CCTK_REAL_VEC gt33rhsL = 0; - CCTK_REAL trKrhsL = 0; + CCTK_REAL_VEC trKrhsL = 0; - CCTK_REAL At11rhsL = 0; + CCTK_REAL_VEC At11rhsL = 0; - CCTK_REAL At12rhsL = 0; + CCTK_REAL_VEC At12rhsL = 0; - CCTK_REAL At13rhsL = 0; + CCTK_REAL_VEC At13rhsL = 0; - CCTK_REAL At22rhsL = 0; + CCTK_REAL_VEC At22rhsL = 0; - CCTK_REAL At23rhsL = 0; + CCTK_REAL_VEC At23rhsL = 0; - CCTK_REAL At33rhsL = 0; + CCTK_REAL_VEC At33rhsL = 0; - CCTK_REAL Xt1rhsL = 0; + CCTK_REAL_VEC Xt1rhsL = 0; - CCTK_REAL Xt2rhsL = 0; + CCTK_REAL_VEC Xt2rhsL = 0; - CCTK_REAL Xt3rhsL = 0; + CCTK_REAL_VEC Xt3rhsL = 0; - CCTK_REAL alpharhsL = 0; + CCTK_REAL_VEC alpharhsL = 0; - CCTK_REAL ArhsL = 0; + CCTK_REAL_VEC ArhsL = 0; - CCTK_REAL beta1rhsL = 0; + CCTK_REAL_VEC beta1rhsL = 0; - CCTK_REAL beta2rhsL = 0; + CCTK_REAL_VEC beta2rhsL = 0; - CCTK_REAL beta3rhsL = 0; + CCTK_REAL_VEC beta3rhsL = 0; - CCTK_REAL B1rhsL = 0; + CCTK_REAL_VEC B1rhsL = 0; - CCTK_REAL B2rhsL = 0; + CCTK_REAL_VEC B2rhsL = 0; - CCTK_REAL B3rhsL = 0; + CCTK_REAL_VEC B3rhsL = 0; /* Copy local copies back to grid functions */ - alpharhs[index] = alpharhsL; - Arhs[index] = ArhsL; - At11rhs[index] = At11rhsL; - At12rhs[index] = At12rhsL; - At13rhs[index] = At13rhsL; - At22rhs[index] = At22rhsL; - At23rhs[index] = At23rhsL; - At33rhs[index] = At33rhsL; - B1rhs[index] = B1rhsL; - B2rhs[index] = B2rhsL; - B3rhs[index] = B3rhsL; - beta1rhs[index] = beta1rhsL; - beta2rhs[index] = beta2rhsL; - beta3rhs[index] = beta3rhsL; - gt11rhs[index] = gt11rhsL; - gt12rhs[index] = gt12rhsL; - gt13rhs[index] = gt13rhsL; - gt22rhs[index] = gt22rhsL; - gt23rhs[index] = gt23rhsL; - gt33rhs[index] = gt33rhsL; - phirhs[index] = phirhsL; - trKrhs[index] = trKrhsL; - Xt1rhs[index] = Xt1rhsL; - Xt2rhs[index] = Xt2rhsL; - Xt3rhs[index] = Xt3rhsL; + vec_store_nta(alpharhs[index],alpharhsL); + vec_store_nta(Arhs[index],ArhsL); + vec_store_nta(At11rhs[index],At11rhsL); + vec_store_nta(At12rhs[index],At12rhsL); + vec_store_nta(At13rhs[index],At13rhsL); + vec_store_nta(At22rhs[index],At22rhsL); + vec_store_nta(At23rhs[index],At23rhsL); + vec_store_nta(At33rhs[index],At33rhsL); + vec_store_nta(B1rhs[index],B1rhsL); + vec_store_nta(B2rhs[index],B2rhsL); + vec_store_nta(B3rhs[index],B3rhsL); + vec_store_nta(beta1rhs[index],beta1rhsL); + vec_store_nta(beta2rhs[index],beta2rhsL); + vec_store_nta(beta3rhs[index],beta3rhsL); + vec_store_nta(gt11rhs[index],gt11rhsL); + vec_store_nta(gt12rhs[index],gt12rhsL); + vec_store_nta(gt13rhs[index],gt13rhsL); + vec_store_nta(gt22rhs[index],gt22rhsL); + vec_store_nta(gt23rhs[index],gt23rhsL); + vec_store_nta(gt33rhs[index],gt33rhsL); + vec_store_nta(phirhs[index],phirhsL); + vec_store_nta(trKrhs[index],trKrhsL); + vec_store_nta(Xt1rhs[index],Xt1rhsL); + vec_store_nta(Xt2rhs[index],Xt2rhsL); + vec_store_nta(Xt3rhs[index],Xt3rhsL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O8_RHSStaticBoundary); } -void ML_BSSN_O8_RHSStaticBoundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O8_RHSStaticBoundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_boundary.c b/ML_BSSN_O8/src/ML_BSSN_O8_boundary.cc index bacedc0..e1b5310 100644 --- a/ML_BSSN_O8/src/ML_BSSN_O8_boundary.c +++ b/ML_BSSN_O8/src/ML_BSSN_O8_boundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O8_boundary_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[]) +static void ML_BSSN_O8_boundary_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; @@ -60,9 +61,18 @@ void ML_BSSN_O8_boundary_Body(cGH const * restrict const cctkGH, int const dir, CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; @@ -93,88 +103,89 @@ void ML_BSSN_O8_boundary_Body(cGH const * restrict const cctkGH, int const dir, /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL phiL = IfThen(conformalMethod,1,0); + CCTK_REAL_VEC phiL = IfThen(conformalMethod,1,0); - CCTK_REAL gt11L = 1; + CCTK_REAL_VEC gt11L = 1; - CCTK_REAL gt12L = 0; + CCTK_REAL_VEC gt12L = 0; - CCTK_REAL gt13L = 0; + CCTK_REAL_VEC gt13L = 0; - CCTK_REAL gt22L = 1; + CCTK_REAL_VEC gt22L = 1; - CCTK_REAL gt23L = 0; + CCTK_REAL_VEC gt23L = 0; - CCTK_REAL gt33L = 1; + CCTK_REAL_VEC gt33L = 1; - CCTK_REAL trKL = 0; + CCTK_REAL_VEC trKL = 0; - CCTK_REAL At11L = 0; + CCTK_REAL_VEC At11L = 0; - CCTK_REAL At12L = 0; + CCTK_REAL_VEC At12L = 0; - CCTK_REAL At13L = 0; + CCTK_REAL_VEC At13L = 0; - CCTK_REAL At22L = 0; + CCTK_REAL_VEC At22L = 0; - CCTK_REAL At23L = 0; + CCTK_REAL_VEC At23L = 0; - CCTK_REAL At33L = 0; + CCTK_REAL_VEC At33L = 0; - CCTK_REAL Xt1L = 0; + CCTK_REAL_VEC Xt1L = 0; - CCTK_REAL Xt2L = 0; + CCTK_REAL_VEC Xt2L = 0; - CCTK_REAL Xt3L = 0; + CCTK_REAL_VEC Xt3L = 0; - CCTK_REAL alphaL = 1; + CCTK_REAL_VEC alphaL = 1; - CCTK_REAL AL = 0; + CCTK_REAL_VEC AL = 0; - CCTK_REAL beta1L = 0; + CCTK_REAL_VEC beta1L = 0; - CCTK_REAL beta2L = 0; + CCTK_REAL_VEC beta2L = 0; - CCTK_REAL beta3L = 0; + CCTK_REAL_VEC beta3L = 0; - CCTK_REAL B1L = 0; + CCTK_REAL_VEC B1L = 0; - CCTK_REAL B2L = 0; + CCTK_REAL_VEC B2L = 0; - CCTK_REAL B3L = 0; + CCTK_REAL_VEC B3L = 0; /* Copy local copies back to grid functions */ - A[index] = AL; - alpha[index] = alphaL; - At11[index] = At11L; - At12[index] = At12L; - At13[index] = At13L; - At22[index] = At22L; - At23[index] = At23L; - At33[index] = At33L; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; + vec_store_nta(A[index],AL); + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + vec_store_nta(B1[index],B1L); + vec_store_nta(B2[index],B2L); + vec_store_nta(B3[index],B3L); + vec_store_nta(beta1[index],beta1L); + vec_store_nta(beta2[index],beta2L); + vec_store_nta(beta3[index],beta3L); + vec_store_nta(gt11[index],gt11L); + vec_store_nta(gt12[index],gt12L); + vec_store_nta(gt13[index],gt13L); + vec_store_nta(gt22[index],gt22L); + vec_store_nta(gt23[index],gt23L); + vec_store_nta(gt33[index],gt33L); + vec_store_nta(phi[index],phiL); + vec_store_nta(trK[index],trKL); + vec_store_nta(Xt1[index],Xt1L); + vec_store_nta(Xt2[index],Xt2L); + vec_store_nta(Xt3[index],Xt3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O8_boundary); } -void ML_BSSN_O8_boundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O8_boundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_constraints.c b/ML_BSSN_O8/src/ML_BSSN_O8_constraints.cc index 6e9cf60..fba506a 100644 --- a/ML_BSSN_O8/src/ML_BSSN_O8_constraints.c +++ b/ML_BSSN_O8/src/ML_BSSN_O8_constraints.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O8_constraints_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[]) +static void ML_BSSN_O8_constraints_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; @@ -60,9 +61,18 @@ void ML_BSSN_O8_constraints_Body(cGH const * restrict const cctkGH, int const di CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; @@ -85,318 +95,318 @@ void ML_BSSN_O8_constraints_Body(cGH const * restrict const cctkGH, int const di // int index = INITVALUE; int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); /* Declare derivatives */ - // CCTK_REAL PDstandardNth1At11 = INITVALUE; - // CCTK_REAL PDstandardNth2At11 = INITVALUE; - // CCTK_REAL PDstandardNth3At11 = INITVALUE; - // CCTK_REAL PDstandardNth1At12 = INITVALUE; - // CCTK_REAL PDstandardNth2At12 = INITVALUE; - // CCTK_REAL PDstandardNth3At12 = INITVALUE; - // CCTK_REAL PDstandardNth1At13 = INITVALUE; - // CCTK_REAL PDstandardNth2At13 = INITVALUE; - // CCTK_REAL PDstandardNth3At13 = INITVALUE; - // CCTK_REAL PDstandardNth1At22 = INITVALUE; - // CCTK_REAL PDstandardNth2At22 = INITVALUE; - // CCTK_REAL PDstandardNth3At22 = INITVALUE; - // CCTK_REAL PDstandardNth1At23 = INITVALUE; - // CCTK_REAL PDstandardNth2At23 = INITVALUE; - // CCTK_REAL PDstandardNth3At23 = INITVALUE; - // CCTK_REAL PDstandardNth1At33 = INITVALUE; - // CCTK_REAL PDstandardNth2At33 = INITVALUE; - // CCTK_REAL PDstandardNth3At33 = INITVALUE; - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth11gt11 = INITVALUE; - // CCTK_REAL PDstandardNth22gt11 = INITVALUE; - // CCTK_REAL PDstandardNth33gt11 = INITVALUE; - // CCTK_REAL PDstandardNth12gt11 = INITVALUE; - // CCTK_REAL PDstandardNth13gt11 = INITVALUE; - // CCTK_REAL PDstandardNth23gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth11gt12 = INITVALUE; - // CCTK_REAL PDstandardNth22gt12 = INITVALUE; - // CCTK_REAL PDstandardNth33gt12 = INITVALUE; - // CCTK_REAL PDstandardNth12gt12 = INITVALUE; - // CCTK_REAL PDstandardNth13gt12 = INITVALUE; - // CCTK_REAL PDstandardNth23gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth11gt13 = INITVALUE; - // CCTK_REAL PDstandardNth22gt13 = INITVALUE; - // CCTK_REAL PDstandardNth33gt13 = INITVALUE; - // CCTK_REAL PDstandardNth12gt13 = INITVALUE; - // CCTK_REAL PDstandardNth13gt13 = INITVALUE; - // CCTK_REAL PDstandardNth23gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth11gt22 = INITVALUE; - // CCTK_REAL PDstandardNth22gt22 = INITVALUE; - // CCTK_REAL PDstandardNth33gt22 = INITVALUE; - // CCTK_REAL PDstandardNth12gt22 = INITVALUE; - // CCTK_REAL PDstandardNth13gt22 = INITVALUE; - // CCTK_REAL PDstandardNth23gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth11gt23 = INITVALUE; - // CCTK_REAL PDstandardNth22gt23 = INITVALUE; - // CCTK_REAL PDstandardNth33gt23 = INITVALUE; - // CCTK_REAL PDstandardNth12gt23 = INITVALUE; - // CCTK_REAL PDstandardNth13gt23 = INITVALUE; - // CCTK_REAL PDstandardNth23gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - // CCTK_REAL PDstandardNth11gt33 = INITVALUE; - // CCTK_REAL PDstandardNth22gt33 = INITVALUE; - // CCTK_REAL PDstandardNth33gt33 = INITVALUE; - // CCTK_REAL PDstandardNth12gt33 = INITVALUE; - // CCTK_REAL PDstandardNth13gt33 = INITVALUE; - // CCTK_REAL PDstandardNth23gt33 = INITVALUE; - // CCTK_REAL PDstandardNth1phi = INITVALUE; - // CCTK_REAL PDstandardNth2phi = INITVALUE; - // CCTK_REAL PDstandardNth3phi = INITVALUE; - // CCTK_REAL PDstandardNth11phi = INITVALUE; - // CCTK_REAL PDstandardNth22phi = INITVALUE; - // CCTK_REAL PDstandardNth33phi = INITVALUE; - // CCTK_REAL PDstandardNth12phi = INITVALUE; - // CCTK_REAL PDstandardNth13phi = INITVALUE; - // CCTK_REAL PDstandardNth23phi = INITVALUE; - // CCTK_REAL PDstandardNth1trK = INITVALUE; - // CCTK_REAL PDstandardNth2trK = INITVALUE; - // CCTK_REAL PDstandardNth3trK = INITVALUE; - // CCTK_REAL PDstandardNth1Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt1 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt2 = INITVALUE; - // CCTK_REAL PDstandardNth1Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth2Xt3 = INITVALUE; - // CCTK_REAL PDstandardNth3Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3At33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth11phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth22phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth33phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth12phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth13phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth23phi = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3trK = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt1 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt2 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2Xt3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3Xt3 = INITVALUE; /* Assign local copies of 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]; + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC eTttL = (*stress_energy_state) ? vec_load(eTtt[index]) : 0.0; + CCTK_REAL_VEC eTtxL = (*stress_energy_state) ? vec_load(eTtx[index]) : 0.0; + CCTK_REAL_VEC eTtyL = (*stress_energy_state) ? vec_load(eTty[index]) : 0.0; + CCTK_REAL_VEC eTtzL = (*stress_energy_state) ? vec_load(eTtz[index]) : 0.0; + CCTK_REAL_VEC eTxxL = (*stress_energy_state) ? vec_load(eTxx[index]) : 0.0; + CCTK_REAL_VEC eTxyL = (*stress_energy_state) ? vec_load(eTxy[index]) : 0.0; + CCTK_REAL_VEC eTxzL = (*stress_energy_state) ? vec_load(eTxz[index]) : 0.0; + CCTK_REAL_VEC eTyyL = (*stress_energy_state) ? vec_load(eTyy[index]) : 0.0; + CCTK_REAL_VEC eTyzL = (*stress_energy_state) ? vec_load(eTyz[index]) : 0.0; + CCTK_REAL_VEC eTzzL = (*stress_energy_state) ? vec_load(eTzz[index]) : 0.0; + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); /* Include user supplied include files */ /* 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); - CCTK_REAL const PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); - CCTK_REAL const PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); - CCTK_REAL const PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); - CCTK_REAL const PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); - CCTK_REAL const PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); - CCTK_REAL const PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); - CCTK_REAL const PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); - CCTK_REAL const PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); - CCTK_REAL const PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); - CCTK_REAL const PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); - CCTK_REAL const PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); - CCTK_REAL const PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); - CCTK_REAL const PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); - CCTK_REAL const PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); - CCTK_REAL const PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); - 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); - CCTK_REAL const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); - CCTK_REAL const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); - CCTK_REAL const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); - CCTK_REAL const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); - CCTK_REAL const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); - CCTK_REAL const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); - CCTK_REAL const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); - CCTK_REAL const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); - CCTK_REAL const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); - CCTK_REAL const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); - CCTK_REAL const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); - CCTK_REAL const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); - CCTK_REAL const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); - CCTK_REAL const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); - CCTK_REAL const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); - CCTK_REAL const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); - CCTK_REAL const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); - CCTK_REAL const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); - CCTK_REAL const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); - CCTK_REAL const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); - CCTK_REAL const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); - CCTK_REAL const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); - CCTK_REAL const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); - CCTK_REAL const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); - CCTK_REAL const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); - CCTK_REAL const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - CCTK_REAL const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); - CCTK_REAL const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); - CCTK_REAL const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); - CCTK_REAL const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); - CCTK_REAL const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); - CCTK_REAL const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); - CCTK_REAL const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); - CCTK_REAL const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); - CCTK_REAL const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); - CCTK_REAL const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); - CCTK_REAL const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); - CCTK_REAL const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); - CCTK_REAL const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); - CCTK_REAL const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); - CCTK_REAL const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); - CCTK_REAL const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); - CCTK_REAL const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); - CCTK_REAL const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); - CCTK_REAL const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); - CCTK_REAL const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); - CCTK_REAL const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); - CCTK_REAL const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); - CCTK_REAL const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); - CCTK_REAL const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); - CCTK_REAL const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); - CCTK_REAL const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); - CCTK_REAL const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At11 = PDstandardNth1(At11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At11 = PDstandardNth2(At11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At11 = PDstandardNth3(At11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At12 = PDstandardNth1(At12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At12 = PDstandardNth2(At12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At12 = PDstandardNth3(At12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At13 = PDstandardNth1(At13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At13 = PDstandardNth2(At13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At13 = PDstandardNth3(At13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At22 = PDstandardNth1(At22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At22 = PDstandardNth2(At22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At22 = PDstandardNth3(At22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At23 = PDstandardNth1(At23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At23 = PDstandardNth2(At23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At23 = PDstandardNth3(At23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1At33 = PDstandardNth1(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2At33 = PDstandardNth2(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3At33 = PDstandardNth3(At33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt11 = PDstandardNth11(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt11 = PDstandardNth22(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt11 = PDstandardNth33(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt11 = PDstandardNth12(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt11 = PDstandardNth13(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt11 = PDstandardNth23(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt12 = PDstandardNth11(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt12 = PDstandardNth22(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt12 = PDstandardNth33(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt12 = PDstandardNth12(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt12 = PDstandardNth13(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt12 = PDstandardNth23(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt13 = PDstandardNth11(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt13 = PDstandardNth22(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt13 = PDstandardNth33(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt13 = PDstandardNth12(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt13 = PDstandardNth13(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt13 = PDstandardNth23(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt22 = PDstandardNth11(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt22 = PDstandardNth22(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt22 = PDstandardNth33(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt22 = PDstandardNth12(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt22 = PDstandardNth13(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt22 = PDstandardNth23(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt23 = PDstandardNth11(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt23 = PDstandardNth22(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt23 = PDstandardNth33(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt23 = PDstandardNth12(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt23 = PDstandardNth13(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt23 = PDstandardNth23(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth11gt33 = PDstandardNth11(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth22gt33 = PDstandardNth22(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth33gt33 = PDstandardNth33(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth12gt33 = PDstandardNth12(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth13gt33 = PDstandardNth13(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth23gt33 = PDstandardNth23(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth1phi = PDstandardNth1(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth2phi = PDstandardNth2(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth3phi = PDstandardNth3(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth11phi = PDstandardNth11(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth22phi = PDstandardNth22(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth33phi = PDstandardNth33(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth12phi = PDstandardNth12(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth13phi = PDstandardNth13(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth23phi = PDstandardNth23(phi, i, j, k); + CCTK_REAL_VEC const PDstandardNth1trK = PDstandardNth1(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth2trK = PDstandardNth2(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth3trK = PDstandardNth3(trK, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt1 = PDstandardNth1(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt1 = PDstandardNth2(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt1 = PDstandardNth3(Xt1, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt2 = PDstandardNth1(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt2 = PDstandardNth2(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt2 = PDstandardNth3(Xt2, i, j, k); + CCTK_REAL_VEC const PDstandardNth1Xt3 = PDstandardNth1(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth2Xt3 = PDstandardNth2(Xt3, i, j, k); + CCTK_REAL_VEC const PDstandardNth3Xt3 = PDstandardNth3(Xt3, i, j, k); /* Calculate temporaries and grid functions */ - CCTK_REAL detgt = 1; + CCTK_REAL_VEC detgt = 1; - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt111 = khalf*(gtu11*PDstandardNth1gt11 + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); - CCTK_REAL Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt211 = khalf*(gtu21*PDstandardNth1gt11 + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); - CCTK_REAL Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + CCTK_REAL_VEC Gt311 = khalf*(gtu31*PDstandardNth1gt11 + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); - CCTK_REAL Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + CCTK_REAL_VEC Gt112 = khalf*(gtu21*PDstandardNth1gt22 + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + CCTK_REAL_VEC Gt212 = khalf*(gtu22*PDstandardNth1gt22 + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + CCTK_REAL_VEC Gt312 = khalf*(gtu32*PDstandardNth1gt22 + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + PDstandardNth2gt13 - PDstandardNth3gt12)); - CCTK_REAL Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + CCTK_REAL_VEC Gt113 = khalf*(gtu31*PDstandardNth1gt33 + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + CCTK_REAL_VEC Gt213 = khalf*(gtu32*PDstandardNth1gt33 + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + CCTK_REAL_VEC Gt313 = khalf*(gtu33*PDstandardNth1gt33 + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - PDstandardNth2gt13 + PDstandardNth3gt12)); - CCTK_REAL Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); - CCTK_REAL Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + CCTK_REAL_VEC Gt123 = khalf*(gtu31*PDstandardNth2gt33 + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu21*PDstandardNth3gt22); - CCTK_REAL Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + CCTK_REAL_VEC Gt223 = khalf*(gtu32*PDstandardNth2gt33 + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu22*PDstandardNth3gt22); - CCTK_REAL Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + CCTK_REAL_VEC Gt323 = khalf*(gtu33*PDstandardNth2gt33 + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + gtu32*PDstandardNth3gt22); - CCTK_REAL Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + CCTK_REAL_VEC Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); - CCTK_REAL Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + CCTK_REAL_VEC Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); - CCTK_REAL Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + CCTK_REAL_VEC Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); - CCTK_REAL Rt11 = -(gtu11*khalf*PDstandardNth11gt11) + + CCTK_REAL_VEC 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 @@ -447,7 +457,7 @@ void ML_BSSN_O8_constraints_Body(cGH const * restrict const cctkGH, int const di gt33L*gtu22*SQR(Gt312) + 2*gt13L*gtu31*SQR(Gt313) + gt33L*gtu33*SQR(Gt313); - CCTK_REAL Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - + CCTK_REAL_VEC Rt12 = khalf*(-(gtu11*PDstandardNth11gt12) - 2*gtu21*PDstandardNth12gt12 - 2*gtu31*PDstandardNth13gt12 + gt12L*PDstandardNth1Xt1 + gt22L*PDstandardNth1Xt2 + gt23L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt12 - @@ -520,7 +530,7 @@ void ML_BSSN_O8_constraints_Body(cGH const * restrict const cctkGH, int const di gt13L*Gt323) + gt12L*(Gt122*Gt213 + Gt123*(2*Gt212 + Gt313) + Gt223*(Gt222 + Gt323)) + Gt312*Gt323*gt33L + gt13L*SQR(Gt323))); - CCTK_REAL Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - + CCTK_REAL_VEC Rt13 = khalf*(-(gtu11*PDstandardNth11gt13) - 2*gtu21*PDstandardNth12gt13 - 2*gtu31*PDstandardNth13gt13 + gt13L*PDstandardNth1Xt1 + gt23L*PDstandardNth1Xt2 + gt33L*PDstandardNth1Xt3 - gtu22*PDstandardNth22gt13 - @@ -595,15 +605,15 @@ void ML_BSSN_O8_constraints_Body(cGH const * restrict const cctkGH, int const di 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) - + CCTK_REAL_VEC 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 + @@ -644,7 +654,7 @@ void ML_BSSN_O8_constraints_Body(cGH const * restrict const cctkGH, int const di gt33L*gtu11*SQR(Gt312) + gt33L*gtu22*SQR(Gt322) + 2*gt23L*gtu32*SQR(Gt323) + gt33L*gtu33*SQR(Gt323); - CCTK_REAL Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - + CCTK_REAL_VEC Rt23 = khalf*(-(gtu11*PDstandardNth11gt23) - 2*gtu21*PDstandardNth12gt23 - 2*gtu31*PDstandardNth13gt23 - gtu22*PDstandardNth22gt23 - 2*gtu32*PDstandardNth23gt23 + gt13L*PDstandardNth2Xt1 + gt23L*PDstandardNth2Xt2 + @@ -723,199 +733,200 @@ void ML_BSSN_O8_constraints_Body(cGH const * restrict const cctkGH, int const di 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 + + CCTK_REAL_VEC 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_VEC fac1 = IfThen(conformalMethod,-(khalf*INV(phiL)),1); + + CCTK_REAL_VEC cdphi1 = fac1*PDstandardNth1phi; + + CCTK_REAL_VEC cdphi2 = fac1*PDstandardNth2phi; + + CCTK_REAL_VEC cdphi3 = fac1*PDstandardNth3phi; + + CCTK_REAL_VEC fac2 = IfThen(conformalMethod,khalf*pow(phiL,-2),0); + + CCTK_REAL_VEC cdphi211 = -(fac1*(-PDstandardNth11phi + Gt111*PDstandardNth1phi + Gt211*PDstandardNth2phi + Gt311*PDstandardNth3phi)) + fac2*SQR(PDstandardNth1phi); - CCTK_REAL cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - + CCTK_REAL_VEC cdphi212 = fac2*PDstandardNth1phi*PDstandardNth2phi - fac1*(-PDstandardNth12phi + Gt112*PDstandardNth1phi + Gt212*PDstandardNth2phi + Gt312*PDstandardNth3phi); - CCTK_REAL cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - + CCTK_REAL_VEC cdphi213 = fac2*PDstandardNth1phi*PDstandardNth3phi - fac1*(-PDstandardNth13phi + Gt113*PDstandardNth1phi + Gt213*PDstandardNth2phi + Gt313*PDstandardNth3phi); - CCTK_REAL cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - + CCTK_REAL_VEC cdphi222 = -(fac1*(Gt122*PDstandardNth1phi - PDstandardNth22phi + Gt222*PDstandardNth2phi + Gt322*PDstandardNth3phi)) + fac2*SQR(PDstandardNth2phi); - CCTK_REAL cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - + CCTK_REAL_VEC cdphi223 = fac2*PDstandardNth2phi*PDstandardNth3phi - fac1*(Gt123*PDstandardNth1phi - PDstandardNth23phi + Gt223*PDstandardNth2phi + Gt323*PDstandardNth3phi); - CCTK_REAL cdphi233 = -(fac1*(Gt133*PDstandardNth1phi + + CCTK_REAL_VEC 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) + + CCTK_REAL_VEC 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_VEC 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 + + CCTK_REAL_VEC 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)) + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); - CCTK_REAL em4phi = INV(e4phi); + CCTK_REAL_VEC em4phi = INV(e4phi); - CCTK_REAL gu11 = em4phi*gtu11; + CCTK_REAL_VEC gu11 = em4phi*gtu11; - CCTK_REAL gu21 = em4phi*gtu21; + CCTK_REAL_VEC gu21 = em4phi*gtu21; - CCTK_REAL gu31 = em4phi*gtu31; + CCTK_REAL_VEC gu31 = em4phi*gtu31; - CCTK_REAL gu22 = em4phi*gtu22; + CCTK_REAL_VEC gu22 = em4phi*gtu22; - CCTK_REAL gu32 = em4phi*gtu32; + CCTK_REAL_VEC gu32 = em4phi*gtu32; - CCTK_REAL gu33 = em4phi*gtu33; + CCTK_REAL_VEC gu33 = em4phi*gtu33; - CCTK_REAL R11 = Rphi11 + Rt11; + CCTK_REAL_VEC R11 = Rphi11 + Rt11; - CCTK_REAL R12 = Rphi12 + Rt12; + CCTK_REAL_VEC R12 = Rphi12 + Rt12; - CCTK_REAL R13 = Rphi13 + Rt13; + CCTK_REAL_VEC R13 = Rphi13 + Rt13; - CCTK_REAL R22 = Rphi22 + Rt22; + CCTK_REAL_VEC R22 = Rphi22 + Rt22; - CCTK_REAL R23 = Rphi23 + Rt23; + CCTK_REAL_VEC R23 = Rphi23 + Rt23; - CCTK_REAL R33 = Rphi33 + Rt33; + CCTK_REAL_VEC R33 = Rphi33 + Rt33; - CCTK_REAL trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + + CCTK_REAL_VEC trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33; - CCTK_REAL Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; + CCTK_REAL_VEC Atm11 = At11L*gtu11 + At12L*gtu21 + At13L*gtu31; - CCTK_REAL Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; + CCTK_REAL_VEC Atm21 = At11L*gtu21 + At12L*gtu22 + At13L*gtu32; - CCTK_REAL Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; + CCTK_REAL_VEC Atm31 = At11L*gtu31 + At12L*gtu32 + At13L*gtu33; - CCTK_REAL Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; + CCTK_REAL_VEC Atm12 = At12L*gtu11 + At22L*gtu21 + At23L*gtu31; - CCTK_REAL Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; + CCTK_REAL_VEC Atm22 = At12L*gtu21 + At22L*gtu22 + At23L*gtu32; - CCTK_REAL Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; + CCTK_REAL_VEC Atm32 = At12L*gtu31 + At22L*gtu32 + At23L*gtu33; - CCTK_REAL Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; + CCTK_REAL_VEC Atm13 = At13L*gtu11 + At23L*gtu21 + At33L*gtu31; - CCTK_REAL Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; + CCTK_REAL_VEC Atm23 = At13L*gtu21 + At23L*gtu22 + At33L*gtu32; - CCTK_REAL Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; + CCTK_REAL_VEC Atm33 = At13L*gtu31 + At23L*gtu32 + At33L*gtu33; - CCTK_REAL rho = pow(alphaL,-2)*(eTttL - 2*(beta2L*eTtyL + + CCTK_REAL_VEC 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 S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + + CCTK_REAL_VEC S1 = (-eTtxL + beta1L*eTxxL + beta2L*eTxyL + beta3L*eTxzL)*INV(alphaL); - CCTK_REAL S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + + CCTK_REAL_VEC S2 = (-eTtyL + beta1L*eTxyL + beta2L*eTyyL + beta3L*eTyzL)*INV(alphaL); - CCTK_REAL S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + + CCTK_REAL_VEC S3 = (-eTtzL + beta1L*eTxzL + beta2L*eTyzL + beta3L*eTzzL)*INV(alphaL); - CCTK_REAL HL = -2.*(Atm12*Atm21 + Atm13*Atm31 + Atm23*Atm32) - + CCTK_REAL_VEC 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 M1L = -2.*((At12L*Gt211 + At13L*Gt311)*gtu11 + + CCTK_REAL_VEC 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 + @@ -933,17 +944,17 @@ void ML_BSSN_O8_constraints_Body(cGH const * restrict const cctkGH, int const di gtu33*(-1.*(At23L*Gt213 + At33L*Gt313) + At13L*(6.*cdphi3 - 1.*Gt333) + PDstandardNth3At13) - 25.13274122871834590770114706623602307358*S1; - 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 - + CCTK_REAL_VEC 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 + @@ -952,7 +963,7 @@ void ML_BSSN_O8_constraints_Body(cGH const * restrict const cctkGH, int const di PDstandardNth3At22) + gtu33*PDstandardNth3At23 - 25.13274122871834590770114706623602307358*S2; - CCTK_REAL M3L = -1.*((At11L*Gt113 + At23L*Gt211 + At12L*Gt213 + + CCTK_REAL_VEC 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 + @@ -970,36 +981,37 @@ void ML_BSSN_O8_constraints_Body(cGH const * restrict const cctkGH, int const di 0.6666666666666666666666666666666666666667*PDstandardNth3trK - 25.13274122871834590770114706623602307358*S3; - CCTK_REAL cSL = Log(detgt); + CCTK_REAL_VEC cSL = Log(detgt); - CCTK_REAL cXt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC 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 + + CCTK_REAL_VEC cAL = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; /* 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; + vec_store_nta(cA[index],cAL); + vec_store_nta(cS[index],cSL); + vec_store_nta(cXt1[index],cXt1L); + vec_store_nta(cXt2[index],cXt2L); + vec_store_nta(cXt3[index],cXt3L); + vec_store_nta(H[index],HL); + vec_store_nta(M1[index],M1L); + vec_store_nta(M2[index],M2L); + vec_store_nta(M3[index],M3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O8_constraints); } -void ML_BSSN_O8_constraints(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O8_constraints(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_constraints_boundary.c b/ML_BSSN_O8/src/ML_BSSN_O8_constraints_boundary.cc index f4aed6c..a686828 100644 --- a/ML_BSSN_O8/src/ML_BSSN_O8_constraints_boundary.c +++ b/ML_BSSN_O8/src/ML_BSSN_O8_constraints_boundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O8_constraints_boundary_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[]) +static void ML_BSSN_O8_constraints_boundary_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; @@ -60,9 +61,18 @@ void ML_BSSN_O8_constraints_boundary_Body(cGH const * restrict const cctkGH, int CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; @@ -93,40 +103,41 @@ void ML_BSSN_O8_constraints_boundary_Body(cGH const * restrict const cctkGH, int /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL HL = 0; + CCTK_REAL_VEC HL = 0; - CCTK_REAL M1L = 0; + CCTK_REAL_VEC M1L = 0; - CCTK_REAL M2L = 0; + CCTK_REAL_VEC M2L = 0; - CCTK_REAL M3L = 0; + CCTK_REAL_VEC M3L = 0; - CCTK_REAL cSL = 0; + CCTK_REAL_VEC cSL = 0; - CCTK_REAL cXt1L = 0; + CCTK_REAL_VEC cXt1L = 0; - CCTK_REAL cXt2L = 0; + CCTK_REAL_VEC cXt2L = 0; - CCTK_REAL cXt3L = 0; + CCTK_REAL_VEC cXt3L = 0; - CCTK_REAL cAL = 0; + CCTK_REAL_VEC 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; + vec_store_nta(cA[index],cAL); + vec_store_nta(cS[index],cSL); + vec_store_nta(cXt1[index],cXt1L); + vec_store_nta(cXt2[index],cXt2L); + vec_store_nta(cXt3[index],cXt3L); + vec_store_nta(H[index],HL); + vec_store_nta(M1[index],M1L); + vec_store_nta(M2[index],M2L); + vec_store_nta(M3[index],M3L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O8_constraints_boundary); } -void ML_BSSN_O8_constraints_boundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O8_constraints_boundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_convertFromADMBase.c b/ML_BSSN_O8/src/ML_BSSN_O8_convertFromADMBase.c deleted file mode 100644 index 6860d1c..0000000 --- a/ML_BSSN_O8/src/ML_BSSN_O8_convertFromADMBase.c +++ /dev/null @@ -1,211 +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_O8_convertFromADMBase_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O8_convertFromADMBase_Body"); - } - - if (cctk_iteration % ML_BSSN_O8_convertFromADMBase_calc_every != ML_BSSN_O8_convertFromADMBase_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 p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_O8_convertFromADMBase, - i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], - cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) - { - // int index = INITVALUE; - int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of 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 */ - - /* Calculate temporaries and grid functions */ - CCTK_REAL g11 = gxxL; - - CCTK_REAL g12 = gxyL; - - CCTK_REAL g13 = gxzL; - - CCTK_REAL g22 = gyyL; - - CCTK_REAL g23 = gyzL; - - CCTK_REAL g33 = gzzL; - - CCTK_REAL detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - - g22*SQR(g13) - g11*SQR(g23); - - CCTK_REAL gu11 = INV(detg)*(g22*g33 - SQR(g23)); - - CCTK_REAL gu21 = (g13*g23 - g12*g33)*INV(detg); - - CCTK_REAL gu31 = (-(g13*g22) + g12*g23)*INV(detg); - - CCTK_REAL gu22 = INV(detg)*(g11*g33 - SQR(g13)); - - CCTK_REAL gu32 = (g12*g13 - g11*g23)*INV(detg); - - CCTK_REAL gu33 = INV(detg)*(g11*g22 - SQR(g12)); - - phiL = - IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); - - CCTK_REAL em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); - - CCTK_REAL gt11L = em4phi*g11; - - CCTK_REAL gt12L = em4phi*g12; - - CCTK_REAL gt13L = em4phi*g13; - - CCTK_REAL gt22L = em4phi*g22; - - CCTK_REAL gt23L = em4phi*g23; - - CCTK_REAL gt33L = em4phi*g33; - - trKL = gu11*kxxL + gu22*kyyL + 2*(gu21*kxyL + gu31*kxzL + gu32*kyzL) + - gu33*kzzL; - - CCTK_REAL At11L = em4phi*(kxxL - g11*kthird*trKL); - - CCTK_REAL At12L = em4phi*(kxyL - g12*kthird*trKL); - - CCTK_REAL At13L = em4phi*(kxzL - g13*kthird*trKL); - - CCTK_REAL At22L = em4phi*(kyyL - g22*kthird*trKL); - - CCTK_REAL At23L = em4phi*(kyzL - g23*kthird*trKL); - - CCTK_REAL At33L = em4phi*(kzzL - g33*kthird*trKL); - - CCTK_REAL alphaL = alpL; - - CCTK_REAL beta1L = betaxL; - - CCTK_REAL beta2L = betayL; - - CCTK_REAL beta3L = betazL; - - - /* 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; - beta1[index] = beta1L; - beta2[index] = beta2L; - beta3[index] = beta3L; - gt11[index] = gt11L; - gt12[index] = gt12L; - gt13[index] = gt13L; - gt22[index] = gt22L; - gt23[index] = gt23L; - gt33[index] = gt33L; - phi[index] = phiL; - trK[index] = trKL; - } - LC_ENDLOOP3 (ML_BSSN_O8_convertFromADMBase); -} - -void ML_BSSN_O8_convertFromADMBase(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_O8_convertFromADMBase_Body); -} diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_convertFromADMBase.cc b/ML_BSSN_O8/src/ML_BSSN_O8_convertFromADMBase.cc new file mode 100644 index 0000000..ab7e2d8 --- /dev/null +++ b/ML_BSSN_O8/src/ML_BSSN_O8_convertFromADMBase.cc @@ -0,0 +1,222 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_O8_convertFromADMBase_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O8_convertFromADMBase_Body"); + } + + if (cctk_iteration % ML_BSSN_O8_convertFromADMBase_calc_every != ML_BSSN_O8_convertFromADMBase_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 p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; + CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; + CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; + CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; + CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; + CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; + CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; + CCTK_REAL const p1o840dx = INV(dx)/840.; + CCTK_REAL const p1o840dy = INV(dy)/840.; + CCTK_REAL const p1o840dz = INV(dz)/840.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o840dx = -INV(dx)/840.; + CCTK_REAL const pm1o840dy = -INV(dy)/840.; + CCTK_REAL const pm1o840dz = -INV(dz)/840.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_O8_convertFromADMBase, + i,j,k, min[0],min[1],min[2], max[0],max[1],max[2], + cctk_lsh[0],cctk_lsh[1],cctk_lsh[2]) + { + // int index = INITVALUE; + int const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC alpL = vec_load(alp[index]); + CCTK_REAL_VEC betaxL = vec_load(betax[index]); + CCTK_REAL_VEC betayL = vec_load(betay[index]); + CCTK_REAL_VEC betazL = vec_load(betaz[index]); + CCTK_REAL_VEC gxxL = vec_load(gxx[index]); + CCTK_REAL_VEC gxyL = vec_load(gxy[index]); + CCTK_REAL_VEC gxzL = vec_load(gxz[index]); + CCTK_REAL_VEC gyyL = vec_load(gyy[index]); + CCTK_REAL_VEC gyzL = vec_load(gyz[index]); + CCTK_REAL_VEC gzzL = vec_load(gzz[index]); + CCTK_REAL_VEC kxxL = vec_load(kxx[index]); + CCTK_REAL_VEC kxyL = vec_load(kxy[index]); + CCTK_REAL_VEC kxzL = vec_load(kxz[index]); + CCTK_REAL_VEC kyyL = vec_load(kyy[index]); + CCTK_REAL_VEC kyzL = vec_load(kyz[index]); + CCTK_REAL_VEC kzzL = vec_load(kzz[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + + /* Calculate temporaries and grid functions */ + CCTK_REAL_VEC g11 = gxxL; + + CCTK_REAL_VEC g12 = gxyL; + + CCTK_REAL_VEC g13 = gxzL; + + CCTK_REAL_VEC g22 = gyyL; + + CCTK_REAL_VEC g23 = gyzL; + + CCTK_REAL_VEC g33 = gzzL; + + CCTK_REAL_VEC detg = 2*g12*g13*g23 + g33*(g11*g22 - SQR(g12)) - + g22*SQR(g13) - g11*SQR(g23); + + CCTK_REAL_VEC gu11 = INV(detg)*(g22*g33 - SQR(g23)); + + CCTK_REAL_VEC gu21 = (g13*g23 - g12*g33)*INV(detg); + + CCTK_REAL_VEC gu31 = (-(g13*g22) + g12*g23)*INV(detg); + + CCTK_REAL_VEC gu22 = INV(detg)*(g11*g33 - SQR(g13)); + + CCTK_REAL_VEC gu32 = (g12*g13 - g11*g23)*INV(detg); + + CCTK_REAL_VEC gu33 = INV(detg)*(g11*g22 - SQR(g12)); + + phiL = + IfThen(conformalMethod,pow(detg,-0.16666666666666666),Log(detg)/12.); + + CCTK_REAL_VEC em4phi = IfThen(conformalMethod,SQR(phiL),exp(-4*phiL)); + + CCTK_REAL_VEC gt11L = em4phi*g11; + + CCTK_REAL_VEC gt12L = em4phi*g12; + + CCTK_REAL_VEC gt13L = em4phi*g13; + + CCTK_REAL_VEC gt22L = em4phi*g22; + + CCTK_REAL_VEC gt23L = em4phi*g23; + + CCTK_REAL_VEC gt33L = em4phi*g33; + + trKL = gu11*kxxL + gu22*kyyL + 2*(gu21*kxyL + gu31*kxzL + gu32*kyzL) + + gu33*kzzL; + + CCTK_REAL_VEC At11L = em4phi*(kxxL - g11*kthird*trKL); + + CCTK_REAL_VEC At12L = em4phi*(kxyL - g12*kthird*trKL); + + CCTK_REAL_VEC At13L = em4phi*(kxzL - g13*kthird*trKL); + + CCTK_REAL_VEC At22L = em4phi*(kyyL - g22*kthird*trKL); + + CCTK_REAL_VEC At23L = em4phi*(kyzL - g23*kthird*trKL); + + CCTK_REAL_VEC At33L = em4phi*(kzzL - g33*kthird*trKL); + + CCTK_REAL_VEC alphaL = alpL; + + CCTK_REAL_VEC beta1L = betaxL; + + CCTK_REAL_VEC beta2L = betayL; + + CCTK_REAL_VEC beta3L = betazL; + + + /* Copy local copies back to grid functions */ + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + vec_store_nta(beta1[index],beta1L); + vec_store_nta(beta2[index],beta2L); + vec_store_nta(beta3[index],beta3L); + vec_store_nta(gt11[index],gt11L); + vec_store_nta(gt12[index],gt12L); + vec_store_nta(gt13[index],gt13L); + vec_store_nta(gt22[index],gt22L); + vec_store_nta(gt23[index],gt23L); + vec_store_nta(gt33[index],gt33L); + vec_store_nta(phi[index],phiL); + vec_store_nta(trK[index],trKL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_O8_convertFromADMBase); +} + +extern "C" void ML_BSSN_O8_convertFromADMBase(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverEverything(cctkGH, &ML_BSSN_O8_convertFromADMBase_Body); +} diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_convertFromADMBaseGamma.c b/ML_BSSN_O8/src/ML_BSSN_O8_convertFromADMBaseGamma.c deleted file mode 100644 index 48c248a..0000000 --- a/ML_BSSN_O8/src/ML_BSSN_O8_convertFromADMBaseGamma.c +++ /dev/null @@ -1,312 +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_O8_convertFromADMBaseGamma_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O8_convertFromADMBaseGamma_Body"); - } - - if (cctk_iteration % ML_BSSN_O8_convertFromADMBaseGamma_calc_every != ML_BSSN_O8_convertFromADMBaseGamma_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 p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_O8_convertFromADMBaseGamma, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - // CCTK_REAL PDstandardNth1gt11 = INITVALUE; - // CCTK_REAL PDstandardNth2gt11 = INITVALUE; - // CCTK_REAL PDstandardNth3gt11 = INITVALUE; - // CCTK_REAL PDstandardNth1gt12 = INITVALUE; - // CCTK_REAL PDstandardNth2gt12 = INITVALUE; - // CCTK_REAL PDstandardNth3gt12 = INITVALUE; - // CCTK_REAL PDstandardNth1gt13 = INITVALUE; - // CCTK_REAL PDstandardNth2gt13 = INITVALUE; - // CCTK_REAL PDstandardNth3gt13 = INITVALUE; - // CCTK_REAL PDstandardNth1gt22 = INITVALUE; - // CCTK_REAL PDstandardNth2gt22 = INITVALUE; - // CCTK_REAL PDstandardNth3gt22 = INITVALUE; - // CCTK_REAL PDstandardNth1gt23 = INITVALUE; - // CCTK_REAL PDstandardNth2gt23 = INITVALUE; - // CCTK_REAL PDstandardNth3gt23 = INITVALUE; - // CCTK_REAL PDstandardNth1gt33 = INITVALUE; - // CCTK_REAL PDstandardNth2gt33 = INITVALUE; - // CCTK_REAL PDstandardNth3gt33 = INITVALUE; - - /* Assign local copies of 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]; - CCTK_REAL rL = r[index]; - - /* Include user supplied include files */ - - /* 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); - CCTK_REAL const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); - CCTK_REAL const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); - CCTK_REAL const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); - CCTK_REAL const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); - CCTK_REAL const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); - CCTK_REAL const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); - CCTK_REAL const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); - CCTK_REAL const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); - CCTK_REAL const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); - CCTK_REAL const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); - CCTK_REAL const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); - CCTK_REAL const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); - CCTK_REAL const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); - CCTK_REAL const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); - CCTK_REAL const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL detgt = 1; - - 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 Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + - Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; - - CCTK_REAL Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + - Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; - - CCTK_REAL Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + - Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; - - CCTK_REAL AL = -(dtalpL*(-1 + - LapseAdvectionCoeff)*INV(harmonicF)*pow(alphaL,-harmonicN)); - - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); - - CCTK_REAL B1L = 6*IfThen(ShiftGammaCoeff*theta != - 0,dtbetaxL*INV(ShiftGammaCoeff)*INV(theta),0) + - IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth1(betax, i, - j, - k)*beta1L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth2(betax, i, - j, - k)*beta2L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetaxL - PDupwindNth3(betax, i, - j, - k)*beta3L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0); - - CCTK_REAL B2L = 6*IfThen(ShiftGammaCoeff*theta != - 0,dtbetayL*INV(ShiftGammaCoeff)*INV(theta),0) + - IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth1(betay, i, - j, - k)*beta1L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth2(betay, i, - j, - k)*beta2L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetayL - PDupwindNth3(betay, i, - j, - k)*beta3L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0); - - CCTK_REAL B3L = 6*IfThen(ShiftGammaCoeff*theta != - 0,dtbetazL*INV(ShiftGammaCoeff)*INV(theta),0) + - IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth1(betaz, i, - j, - k)*beta1L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth2(betaz, i, - j, - k)*beta2L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0) - + IfThen(ShiftGammaCoeff*theta != 0,(dtbetazL - PDupwindNth3(betaz, i, - j, - k)*beta3L*ShiftAdvectionCoeff*theta)*INV(ShiftGammaCoeff)*INV(theta),0); - - - /* Copy local copies back to grid functions */ - A[index] = AL; - B1[index] = B1L; - B2[index] = B2L; - B3[index] = B3L; - Xt1[index] = Xt1L; - Xt2[index] = Xt2L; - Xt3[index] = Xt3L; - } - LC_ENDLOOP3 (ML_BSSN_O8_convertFromADMBaseGamma); -} - -void ML_BSSN_O8_convertFromADMBaseGamma(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O8_convertFromADMBaseGamma_Body); -} diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_convertFromADMBaseGamma.cc b/ML_BSSN_O8/src/ML_BSSN_O8_convertFromADMBaseGamma.cc new file mode 100644 index 0000000..2122692 --- /dev/null +++ b/ML_BSSN_O8/src/ML_BSSN_O8_convertFromADMBaseGamma.cc @@ -0,0 +1,425 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_O8_convertFromADMBaseGamma_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O8_convertFromADMBaseGamma_Body"); + } + + if (cctk_iteration % ML_BSSN_O8_convertFromADMBaseGamma_calc_every != ML_BSSN_O8_convertFromADMBaseGamma_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 p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; + CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; + CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; + CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; + CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; + CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; + CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; + CCTK_REAL const p1o840dx = INV(dx)/840.; + CCTK_REAL const p1o840dy = INV(dy)/840.; + CCTK_REAL const p1o840dz = INV(dz)/840.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o840dx = -INV(dx)/840.; + CCTK_REAL const pm1o840dy = -INV(dy)/840.; + CCTK_REAL const pm1o840dz = -INV(dz)/840.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_O8_convertFromADMBaseGamma, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDupwindNthAnti1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta3 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt11 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt12 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt13 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt22 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt23 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth1gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth2gt33 = INITVALUE; + // CCTK_REAL_VEC PDstandardNth3gt33 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC dtalpL = vec_load(dtalp[index]); + CCTK_REAL_VEC dtbetaxL = vec_load(dtbetax[index]); + CCTK_REAL_VEC dtbetayL = vec_load(dtbetay[index]); + CCTK_REAL_VEC dtbetazL = vec_load(dtbetaz[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt11 = PDstandardNth1(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt11 = PDstandardNth2(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt11 = PDstandardNth3(gt11, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt12 = PDstandardNth1(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt12 = PDstandardNth2(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt12 = PDstandardNth3(gt12, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt13 = PDstandardNth1(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt13 = PDstandardNth2(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt13 = PDstandardNth3(gt13, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt22 = PDstandardNth1(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt22 = PDstandardNth2(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt22 = PDstandardNth3(gt22, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt23 = PDstandardNth1(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt23 = PDstandardNth2(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt23 = PDstandardNth3(gt23, i, j, k); + CCTK_REAL_VEC const PDstandardNth1gt33 = PDstandardNth1(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth2gt33 = PDstandardNth2(gt33, i, j, k); + CCTK_REAL_VEC const PDstandardNth3gt33 = PDstandardNth3(gt33, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC detgt = 1; + + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + + CCTK_REAL_VEC Gt111 = khalf*(gtu11*PDstandardNth1gt11 + + 2*(gtu21*PDstandardNth1gt12 + gtu31*PDstandardNth1gt13) - + gtu21*PDstandardNth2gt11 - gtu31*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt211 = khalf*(gtu21*PDstandardNth1gt11 + + 2*(gtu22*PDstandardNth1gt12 + gtu32*PDstandardNth1gt13) - + gtu22*PDstandardNth2gt11 - gtu32*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt311 = khalf*(gtu31*PDstandardNth1gt11 + + 2*(gtu32*PDstandardNth1gt12 + gtu33*PDstandardNth1gt13) - + gtu32*PDstandardNth2gt11 - gtu33*PDstandardNth3gt11); + + CCTK_REAL_VEC Gt112 = khalf*(gtu21*PDstandardNth1gt22 + + gtu11*PDstandardNth2gt11 + gtu31*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt212 = khalf*(gtu22*PDstandardNth1gt22 + + gtu21*PDstandardNth2gt11 + gtu32*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt312 = khalf*(gtu32*PDstandardNth1gt22 + + gtu31*PDstandardNth2gt11 + gtu33*(PDstandardNth1gt23 + + PDstandardNth2gt13 - PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt113 = khalf*(gtu31*PDstandardNth1gt33 + + gtu11*PDstandardNth3gt11 + gtu21*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt213 = khalf*(gtu32*PDstandardNth1gt33 + + gtu21*PDstandardNth3gt11 + gtu22*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt313 = khalf*(gtu33*PDstandardNth1gt33 + + gtu31*PDstandardNth3gt11 + gtu32*(PDstandardNth1gt23 - + PDstandardNth2gt13 + PDstandardNth3gt12)); + + CCTK_REAL_VEC Gt122 = khalf*(gtu11*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu21*PDstandardNth2gt22 + + gtu31*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt222 = khalf*(gtu21*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu22*PDstandardNth2gt22 + + gtu32*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt322 = khalf*(gtu31*(-PDstandardNth1gt22 + + 2*PDstandardNth2gt12) + gtu32*PDstandardNth2gt22 + + gtu33*(2*PDstandardNth2gt23 - PDstandardNth3gt22)); + + CCTK_REAL_VEC Gt123 = khalf*(gtu31*PDstandardNth2gt33 + + gtu11*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu21*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt223 = khalf*(gtu32*PDstandardNth2gt33 + + gtu21*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu22*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt323 = khalf*(gtu33*PDstandardNth2gt33 + + gtu31*(-PDstandardNth1gt23 + PDstandardNth2gt13 + PDstandardNth3gt12) + + gtu32*PDstandardNth3gt22); + + CCTK_REAL_VEC Gt133 = khalf*(-(gtu11*PDstandardNth1gt33) - + gtu21*PDstandardNth2gt33 + 2*gtu11*PDstandardNth3gt13 + + 2*gtu21*PDstandardNth3gt23 + gtu31*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt233 = khalf*(-(gtu21*PDstandardNth1gt33) - + gtu22*PDstandardNth2gt33 + 2*gtu21*PDstandardNth3gt13 + + 2*gtu22*PDstandardNth3gt23 + gtu32*PDstandardNth3gt33); + + CCTK_REAL_VEC Gt333 = khalf*(-(gtu31*PDstandardNth1gt33) - + gtu32*PDstandardNth2gt33 + 2*gtu31*PDstandardNth3gt13 + + 2*gtu32*PDstandardNth3gt23 + gtu33*PDstandardNth3gt33); + + CCTK_REAL_VEC Xt1L = Gt111*gtu11 + Gt122*gtu22 + 2*(Gt112*gtu21 + + Gt113*gtu31 + Gt123*gtu32) + Gt133*gtu33; + + CCTK_REAL_VEC Xt2L = Gt211*gtu11 + Gt222*gtu22 + 2*(Gt212*gtu21 + + Gt213*gtu31 + Gt223*gtu32) + Gt233*gtu33; + + CCTK_REAL_VEC Xt3L = Gt311*gtu11 + Gt322*gtu22 + 2*(Gt312*gtu21 + + Gt313*gtu31 + Gt323*gtu32) + Gt333*gtu33; + + CCTK_REAL_VEC AL = 12*IfThen(LapseACoeff != + 0,-(dtalpL*INV(harmonicF)*pow(alphaL,-harmonicN)),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1alpha + + PDupwindNthSymm1alpha*Abs(beta1L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta2L*PDupwindNthAnti2alpha + + PDupwindNthSymm2alpha*Abs(beta2L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + 2*(IfThen(LapseACoeff != 0,(-dtalpL + + beta1L*LapseAdvectionCoeff*PDupwindNthAnti1alpha)*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + beta2L*LapseAdvectionCoeff*PDupwindNthAnti2alpha)*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + beta3L*LapseAdvectionCoeff*PDupwindNthAnti3alpha)*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*PDupwindNthSymm1alpha*Abs(beta1L))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*PDupwindNthSymm2alpha*Abs(beta2L))*INV(harmonicF)*pow(alphaL,-harmonicN),0) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*PDupwindNthSymm3alpha*Abs(beta3L))*INV(harmonicF)*pow(alphaL,-harmonicN),0)) + + IfThen(LapseACoeff != 0,(-dtalpL + + LapseAdvectionCoeff*(beta3L*PDupwindNthAnti3alpha + + PDupwindNthSymm3alpha*Abs(beta3L)))*INV(harmonicF)*pow(alphaL,-harmonicN),0); + + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); + + CCTK_REAL_VEC B1L = 12*IfThen(ShiftBCoeff*ShiftGammaCoeff != + 0,dtbetaxL*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff - + PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff - + PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + 2*(IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta1L*PDupwindNthAnti1beta1*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta2L*PDupwindNthAnti2beta1*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + PDupwindNthSymm1beta1*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + PDupwindNthSymm2beta1*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0)) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetaxL - + beta3L*PDupwindNthAnti3beta1*ShiftAdvectionCoeff - + PDupwindNthSymm3beta1*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0); + + CCTK_REAL_VEC B2L = 12*IfThen(ShiftBCoeff*ShiftGammaCoeff != + 0,dtbetayL*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff - + PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff - + PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + 2*(IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta1L*PDupwindNthAnti1beta2*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta2L*PDupwindNthAnti2beta2*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + PDupwindNthSymm1beta2*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + PDupwindNthSymm2beta2*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0)) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetayL - + beta3L*PDupwindNthAnti3beta2*ShiftAdvectionCoeff - + PDupwindNthSymm3beta2*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0); + + CCTK_REAL_VEC B3L = 12*IfThen(ShiftBCoeff*ShiftGammaCoeff != + 0,dtbetazL*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff - + PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff - + PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + 2*(IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta1L*PDupwindNthAnti1beta3*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta2L*PDupwindNthAnti2beta3*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff)*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + PDupwindNthSymm1beta3*ShiftAdvectionCoeff*Abs(beta1L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + PDupwindNthSymm2beta3*ShiftAdvectionCoeff*Abs(beta2L))*INV(ShiftGammaCoeff)*INV(theta),0) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0)) + + IfThen(ShiftBCoeff*ShiftGammaCoeff != 0,(dtbetazL - + beta3L*PDupwindNthAnti3beta3*ShiftAdvectionCoeff - + PDupwindNthSymm3beta3*ShiftAdvectionCoeff*Abs(beta3L))*INV(ShiftGammaCoeff)*INV(theta),0); + + + /* Copy local copies back to grid functions */ + vec_store_nta(A[index],AL); + vec_store_nta(B1[index],B1L); + vec_store_nta(B2[index],B2L); + vec_store_nta(B3[index],B3L); + vec_store_nta(Xt1[index],Xt1L); + vec_store_nta(Xt2[index],Xt2L); + vec_store_nta(Xt3[index],Xt3L); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_O8_convertFromADMBaseGamma); +} + +extern "C" void ML_BSSN_O8_convertFromADMBaseGamma(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O8_convertFromADMBaseGamma_Body); +} diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBase.c b/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBase.cc index e061a83..e2e27d2 100644 --- a/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBase.c +++ b/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBase.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O8_convertToADMBase_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[]) +static void ML_BSSN_O8_convertToADMBase_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; @@ -60,9 +61,18 @@ void ML_BSSN_O8_convertToADMBase_Body(cGH const * restrict const cctkGH, int con CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; @@ -87,37 +97,38 @@ void ML_BSSN_O8_convertToADMBase_Body(cGH const * restrict const cctkGH, int con /* Declare derivatives */ /* Assign local copies of 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]; + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); + CCTK_REAL_VEC gxxL = vec_load(gxx[index]); + CCTK_REAL_VEC gxyL = vec_load(gxy[index]); + CCTK_REAL_VEC gxzL = vec_load(gxz[index]); + CCTK_REAL_VEC gyyL = vec_load(gyy[index]); + CCTK_REAL_VEC gyzL = vec_load(gyz[index]); + CCTK_REAL_VEC gzzL = vec_load(gzz[index]); + CCTK_REAL_VEC phiL = vec_load(phi[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL e4phi = IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); + CCTK_REAL_VEC e4phi = + IfThen(conformalMethod,pow(phiL,-2),exp(4*phiL)); gxxL = e4phi*gt11L; @@ -131,49 +142,50 @@ void ML_BSSN_O8_convertToADMBase_Body(cGH const * restrict const cctkGH, int con gzzL = e4phi*gt33L; - CCTK_REAL kxxL = At11L*e4phi + gxxL*kthird*trKL; + CCTK_REAL_VEC kxxL = At11L*e4phi + gxxL*kthird*trKL; - CCTK_REAL kxyL = At12L*e4phi + gxyL*kthird*trKL; + CCTK_REAL_VEC kxyL = At12L*e4phi + gxyL*kthird*trKL; - CCTK_REAL kxzL = At13L*e4phi + gxzL*kthird*trKL; + CCTK_REAL_VEC kxzL = At13L*e4phi + gxzL*kthird*trKL; - CCTK_REAL kyyL = At22L*e4phi + gyyL*kthird*trKL; + CCTK_REAL_VEC kyyL = At22L*e4phi + gyyL*kthird*trKL; - CCTK_REAL kyzL = At23L*e4phi + gyzL*kthird*trKL; + CCTK_REAL_VEC kyzL = At23L*e4phi + gyzL*kthird*trKL; - CCTK_REAL kzzL = At33L*e4phi + gzzL*kthird*trKL; + CCTK_REAL_VEC kzzL = At33L*e4phi + gzzL*kthird*trKL; - CCTK_REAL alpL = alphaL; + CCTK_REAL_VEC alpL = alphaL; - CCTK_REAL betaxL = beta1L; + CCTK_REAL_VEC betaxL = beta1L; - CCTK_REAL betayL = beta2L; + CCTK_REAL_VEC betayL = beta2L; - CCTK_REAL betazL = beta3L; + CCTK_REAL_VEC betazL = beta3L; /* Copy local copies back to grid functions */ - alp[index] = alpL; - betax[index] = betaxL; - betay[index] = betayL; - betaz[index] = betazL; - gxx[index] = gxxL; - gxy[index] = gxyL; - gxz[index] = gxzL; - gyy[index] = gyyL; - gyz[index] = gyzL; - gzz[index] = gzzL; - kxx[index] = kxxL; - kxy[index] = kxyL; - kxz[index] = kxzL; - kyy[index] = kyyL; - kyz[index] = kyzL; - kzz[index] = kzzL; + vec_store_nta(alp[index],alpL); + vec_store_nta(betax[index],betaxL); + vec_store_nta(betay[index],betayL); + vec_store_nta(betaz[index],betazL); + vec_store_nta(gxx[index],gxxL); + vec_store_nta(gxy[index],gxyL); + vec_store_nta(gxz[index],gxzL); + vec_store_nta(gyy[index],gyyL); + vec_store_nta(gyz[index],gyzL); + vec_store_nta(gzz[index],gzzL); + vec_store_nta(kxx[index],kxxL); + vec_store_nta(kxy[index],kxyL); + vec_store_nta(kxz[index],kxzL); + vec_store_nta(kyy[index],kyyL); + vec_store_nta(kyz[index],kyzL); + vec_store_nta(kzz[index],kzzL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O8_convertToADMBase); } -void ML_BSSN_O8_convertToADMBase(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O8_convertToADMBase(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseDtLapseShift.c b/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseDtLapseShift.c deleted file mode 100644 index 50b4fed..0000000 --- a/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseDtLapseShift.c +++ /dev/null @@ -1,148 +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_O8_convertToADMBaseDtLapseShift_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 */ - - if (verbose > 1) - { - CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O8_convertToADMBaseDtLapseShift_Body"); - } - - if (cctk_iteration % ML_BSSN_O8_convertToADMBaseDtLapseShift_calc_every != ML_BSSN_O8_convertToADMBaseDtLapseShift_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 p1o5040dx2 = pow(dx,-2)/5040.; - CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; - CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; - CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; - CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; - CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; - CCTK_REAL const p1o840dx = INV(dx)/840.; - CCTK_REAL const p1o840dy = INV(dy)/840.; - CCTK_REAL const p1o840dz = INV(dz)/840.; - CCTK_REAL const p1odx = INV(dx); - CCTK_REAL const p1ody = INV(dy); - CCTK_REAL const p1odz = INV(dz); - CCTK_REAL const pm1o840dx = -INV(dx)/840.; - CCTK_REAL const pm1o840dy = -INV(dy)/840.; - CCTK_REAL const pm1o840dz = -INV(dz)/840.; - - /* Loop over the grid points */ - #pragma omp parallel - LC_LOOP3 (ML_BSSN_O8_convertToADMBaseDtLapseShift, - 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); - /* Declare derivatives */ - - /* Assign local copies of 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 rL = r[index]; - CCTK_REAL trKL = trK[index]; - - /* Include user supplied include files */ - - /* Precompute derivatives */ - - /* Calculate temporaries and grid functions */ - int dir1 = Sign(beta1L); - - int dir2 = Sign(beta2L); - - int dir3 = Sign(beta3L); - - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); - - 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 dtbetaxL = (PDupwindNth1(beta1, i, j, k)*beta1L + - PDupwindNth2(beta1, i, j, k)*beta2L + PDupwindNth3(beta1, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B1L*ShiftGammaCoeff*theta; - - CCTK_REAL dtbetayL = (PDupwindNth1(beta2, i, j, k)*beta1L + - PDupwindNth2(beta2, i, j, k)*beta2L + PDupwindNth3(beta2, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B2L*ShiftGammaCoeff*theta; - - CCTK_REAL dtbetazL = (PDupwindNth1(beta3, i, j, k)*beta1L + - PDupwindNth2(beta3, i, j, k)*beta2L + PDupwindNth3(beta3, i, j, - k)*beta3L)*ShiftAdvectionCoeff + B3L*ShiftGammaCoeff*theta; - - - /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; - } - LC_ENDLOOP3 (ML_BSSN_O8_convertToADMBaseDtLapseShift); -} - -void ML_BSSN_O8_convertToADMBaseDtLapseShift(CCTK_ARGUMENTS) -{ - DECLARE_CCTK_ARGUMENTS; - DECLARE_CCTK_PARAMETERS; - - GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O8_convertToADMBaseDtLapseShift_Body); -} diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseDtLapseShift.cc b/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseDtLapseShift.cc new file mode 100644 index 0000000..f0cfa9d --- /dev/null +++ b/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseDtLapseShift.cc @@ -0,0 +1,226 @@ +/* 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 "Vectors.hh" +#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)) + +static void ML_BSSN_O8_convertToADMBaseDtLapseShift_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 */ + + if (verbose > 1) + { + CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_O8_convertToADMBaseDtLapseShift_Body"); + } + + if (cctk_iteration % ML_BSSN_O8_convertToADMBaseDtLapseShift_calc_every != ML_BSSN_O8_convertToADMBaseDtLapseShift_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 p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; + CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; + CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; + CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; + CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; + CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; + CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; + CCTK_REAL const p1o840dx = INV(dx)/840.; + CCTK_REAL const p1o840dy = INV(dy)/840.; + CCTK_REAL const p1o840dz = INV(dz)/840.; + CCTK_REAL const p1odx = INV(dx); + CCTK_REAL const p1ody = INV(dy); + CCTK_REAL const p1odz = INV(dz); + CCTK_REAL const pm1o840dx = -INV(dx)/840.; + CCTK_REAL const pm1o840dy = -INV(dy)/840.; + CCTK_REAL const pm1o840dz = -INV(dz)/840.; + + /* Loop over the grid points */ + #pragma omp parallel + LC_LOOP3 (ML_BSSN_O8_convertToADMBaseDtLapseShift, + 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 const index = CCTK_GFINDEX3D(cctkGH,i,j,k); + /* Declare derivatives */ + // CCTK_REAL_VEC PDupwindNthAnti1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3alpha = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta1 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta2 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm1beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm2beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthAnti3beta3 = INITVALUE; + // CCTK_REAL_VEC PDupwindNthSymm3beta3 = INITVALUE; + + /* Assign local copies of grid functions */ + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); + + /* Include user supplied include files */ + + /* Precompute derivatives */ + CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(alpha, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(beta1, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(beta2, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(beta3, i, j, k); + CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(beta3, i, j, k); + + /* Calculate temporaries and grid functions */ + int dir1 = Sign(beta1L); + + int dir2 = Sign(beta2L); + + int dir3 = Sign(beta3L); + + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); + + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); + + CCTK_REAL_VEC dtalpL = + LapseAdvectionCoeff*(beta1L*PDupwindNthAnti1alpha + + beta2L*PDupwindNthAnti2alpha + beta3L*PDupwindNthAnti3alpha + + PDupwindNthSymm1alpha*Abs(beta1L) + PDupwindNthSymm2alpha*Abs(beta2L) + + PDupwindNthSymm3alpha*Abs(beta3L)) - harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN); + + CCTK_REAL_VEC dtbetaxL = + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta1 + + beta2L*PDupwindNthAnti2beta1 + beta3L*PDupwindNthAnti3beta1 + + PDupwindNthSymm1beta1*Abs(beta1L) + PDupwindNthSymm2beta1*Abs(beta2L) + + PDupwindNthSymm3beta1*Abs(beta3L)); + + CCTK_REAL_VEC dtbetayL = + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta2 + + beta2L*PDupwindNthAnti2beta2 + beta3L*PDupwindNthAnti3beta2 + + PDupwindNthSymm1beta2*Abs(beta1L) + PDupwindNthSymm2beta2*Abs(beta2L) + + PDupwindNthSymm3beta2*Abs(beta3L)); + + CCTK_REAL_VEC dtbetazL = + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L) + + ShiftAdvectionCoeff*(beta1L*PDupwindNthAnti1beta3 + + beta2L*PDupwindNthAnti2beta3 + beta3L*PDupwindNthAnti3beta3 + + PDupwindNthSymm1beta3*Abs(beta1L) + PDupwindNthSymm2beta3*Abs(beta2L) + + PDupwindNthSymm3beta3*Abs(beta3L)); + + + /* Copy local copies back to grid functions */ + vec_store_nta(dtalp[index],dtalpL); + vec_store_nta(dtbetax[index],dtbetaxL); + vec_store_nta(dtbetay[index],dtbetayL); + vec_store_nta(dtbetaz[index],dtbetazL); + i += CCTK_REAL_VEC_SIZE-1; + } + LC_ENDLOOP3 (ML_BSSN_O8_convertToADMBaseDtLapseShift); +} + +extern "C" void ML_BSSN_O8_convertToADMBaseDtLapseShift(CCTK_ARGUMENTS) +{ + DECLARE_CCTK_ARGUMENTS; + DECLARE_CCTK_PARAMETERS; + + GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_O8_convertToADMBaseDtLapseShift_Body); +} diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseDtLapseShiftBoundary.c b/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseDtLapseShiftBoundary.cc index 3e2e523..4a7e158 100644 --- a/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseDtLapseShiftBoundary.c +++ b/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseDtLapseShiftBoundary.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O8_convertToADMBaseDtLapseShiftBoundary_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[]) +static void ML_BSSN_O8_convertToADMBaseDtLapseShiftBoundary_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; @@ -60,9 +61,18 @@ void ML_BSSN_O8_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict c CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; @@ -87,42 +97,57 @@ void ML_BSSN_O8_convertToADMBaseDtLapseShiftBoundary_Body(cGH const * restrict c /* Declare derivatives */ /* Assign local copies of 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 rL = r[index]; - CCTK_REAL trKL = trK[index]; + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); - CCTK_REAL dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); - CCTK_REAL dtbetaxL = B1L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtalpL = -(harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN)); - CCTK_REAL dtbetayL = B2L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetaxL = + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L); - CCTK_REAL dtbetazL = B3L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetayL = + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L); + + CCTK_REAL_VEC dtbetazL = + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L); /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; + vec_store_nta(dtalp[index],dtalpL); + vec_store_nta(dtbetax[index],dtbetaxL); + vec_store_nta(dtbetay[index],dtbetayL); + vec_store_nta(dtbetaz[index],dtbetazL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O8_convertToADMBaseDtLapseShiftBoundary); } -void ML_BSSN_O8_convertToADMBaseDtLapseShiftBoundary(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O8_convertToADMBaseDtLapseShiftBoundary(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseFakeDtLapseShift.c b/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseFakeDtLapseShift.cc index aaf0341..98db385 100644 --- a/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseFakeDtLapseShift.c +++ b/ML_BSSN_O8/src/ML_BSSN_O8_convertToADMBaseFakeDtLapseShift.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O8_convertToADMBaseFakeDtLapseShift_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[]) +static void ML_BSSN_O8_convertToADMBaseFakeDtLapseShift_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; @@ -60,9 +61,18 @@ void ML_BSSN_O8_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; @@ -87,42 +97,57 @@ void ML_BSSN_O8_convertToADMBaseFakeDtLapseShift_Body(cGH const * restrict const /* Declare derivatives */ /* Assign local copies of 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 rL = r[index]; - CCTK_REAL trKL = trK[index]; + CCTK_REAL_VEC AL = vec_load(A[index]); + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC B1L = vec_load(B1[index]); + CCTK_REAL_VEC B2L = vec_load(B2[index]); + CCTK_REAL_VEC B3L = vec_load(B3[index]); + CCTK_REAL_VEC beta1L = vec_load(beta1[index]); + CCTK_REAL_VEC beta2L = vec_load(beta2[index]); + CCTK_REAL_VEC beta3L = vec_load(beta3[index]); + CCTK_REAL_VEC rL = vec_load(r[index]); + CCTK_REAL_VEC trKL = vec_load(trK[index]); + CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]); + CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]); + CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL theta = IfThen(rL > SpatialShiftGammaCoeffRadius,exp(1 - - rL*INV(SpatialShiftGammaCoeffRadius)),1); + CCTK_REAL_VEC eta = fmin(1,SpatialBetaDriverRadius*INV(rL)); - CCTK_REAL dtalpL = harmonicF*(AL*(-1 + LapseAdvectionCoeff) - - LapseAdvectionCoeff*trKL)*pow(alphaL,harmonicN); + CCTK_REAL_VEC theta = fmin(1,exp(1 - + rL*INV(SpatialShiftGammaCoeffRadius))); - CCTK_REAL dtbetaxL = B1L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtalpL = -(harmonicF*(LapseACoeff*(AL - trKL) + + trKL)*pow(alphaL,harmonicN)); - CCTK_REAL dtbetayL = B2L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetaxL = + ShiftGammaCoeff*theta*(beta1L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B1L - Xt1L) + Xt1L); - CCTK_REAL dtbetazL = B3L*ShiftGammaCoeff*theta; + CCTK_REAL_VEC dtbetayL = + ShiftGammaCoeff*theta*(beta2L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B2L - Xt2L) + Xt2L); + + CCTK_REAL_VEC dtbetazL = + ShiftGammaCoeff*theta*(beta3L*BetaDriver*eta*(-1 + ShiftBCoeff) + + ShiftBCoeff*(B3L - Xt3L) + Xt3L); /* Copy local copies back to grid functions */ - dtalp[index] = dtalpL; - dtbetax[index] = dtbetaxL; - dtbetay[index] = dtbetayL; - dtbetaz[index] = dtbetazL; + vec_store_nta(dtalp[index],dtalpL); + vec_store_nta(dtbetax[index],dtbetaxL); + vec_store_nta(dtbetay[index],dtbetayL); + vec_store_nta(dtbetaz[index],dtbetazL); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O8_convertToADMBaseFakeDtLapseShift); } -void ML_BSSN_O8_convertToADMBaseFakeDtLapseShift(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O8_convertToADMBaseFakeDtLapseShift(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O8/src/ML_BSSN_O8_enforce.c b/ML_BSSN_O8/src/ML_BSSN_O8_enforce.cc index 6188865..9665e6e 100644 --- a/ML_BSSN_O8/src/ML_BSSN_O8_enforce.c +++ b/ML_BSSN_O8/src/ML_BSSN_O8_enforce.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void ML_BSSN_O8_enforce_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[]) +static void ML_BSSN_O8_enforce_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; @@ -60,9 +61,18 @@ void ML_BSSN_O8_enforce_Body(cGH const * restrict const cctkGH, int const dir, i CCTK_REAL const hdzi = 0.5 * dzi; /* Initialize predefined quantities */ + CCTK_REAL const p1o1024dx = INV(dx)/1024.; + CCTK_REAL const p1o1024dy = INV(dy)/1024.; + CCTK_REAL const p1o1024dz = INV(dz)/1024.; + CCTK_REAL const p1o1680dx = INV(dx)/1680.; + CCTK_REAL const p1o1680dy = INV(dy)/1680.; + CCTK_REAL const p1o1680dz = INV(dz)/1680.; CCTK_REAL const p1o5040dx2 = pow(dx,-2)/5040.; CCTK_REAL const p1o5040dy2 = pow(dy,-2)/5040.; CCTK_REAL const p1o5040dz2 = pow(dz,-2)/5040.; + CCTK_REAL const p1o560dx = INV(dx)/560.; + CCTK_REAL const p1o560dy = INV(dy)/560.; + CCTK_REAL const p1o560dz = INV(dz)/560.; CCTK_REAL const p1o705600dxdy = (INV(dx)*INV(dy))/705600.; CCTK_REAL const p1o705600dxdz = (INV(dx)*INV(dz))/705600.; CCTK_REAL const p1o705600dydz = (INV(dy)*INV(dz))/705600.; @@ -87,40 +97,40 @@ void ML_BSSN_O8_enforce_Body(cGH const * restrict const cctkGH, int const dir, i /* Declare derivatives */ /* Assign local copies of 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]; + CCTK_REAL_VEC alphaL = vec_load(alpha[index]); + CCTK_REAL_VEC At11L = vec_load(At11[index]); + CCTK_REAL_VEC At12L = vec_load(At12[index]); + CCTK_REAL_VEC At13L = vec_load(At13[index]); + CCTK_REAL_VEC At22L = vec_load(At22[index]); + CCTK_REAL_VEC At23L = vec_load(At23[index]); + CCTK_REAL_VEC At33L = vec_load(At33[index]); + CCTK_REAL_VEC gt11L = vec_load(gt11[index]); + CCTK_REAL_VEC gt12L = vec_load(gt12[index]); + CCTK_REAL_VEC gt13L = vec_load(gt13[index]); + CCTK_REAL_VEC gt22L = vec_load(gt22[index]); + CCTK_REAL_VEC gt23L = vec_load(gt23[index]); + CCTK_REAL_VEC gt33L = vec_load(gt33[index]); /* Include user supplied include files */ /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL detgt = 1; + CCTK_REAL_VEC detgt = 1; - CCTK_REAL gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); + CCTK_REAL_VEC gtu11 = INV(detgt)*(gt22L*gt33L - SQR(gt23L)); - CCTK_REAL gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); + CCTK_REAL_VEC gtu21 = (gt13L*gt23L - gt12L*gt33L)*INV(detgt); - CCTK_REAL gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu31 = (-(gt13L*gt22L) + gt12L*gt23L)*INV(detgt); - CCTK_REAL gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); + CCTK_REAL_VEC gtu22 = INV(detgt)*(gt11L*gt33L - SQR(gt13L)); - CCTK_REAL gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); + CCTK_REAL_VEC gtu32 = (gt12L*gt13L - gt11L*gt23L)*INV(detgt); - CCTK_REAL gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); + CCTK_REAL_VEC gtu33 = INV(detgt)*(gt11L*gt22L - SQR(gt12L)); - CCTK_REAL trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + + CCTK_REAL_VEC trAt = At11L*gtu11 + At22L*gtu22 + 2*(At12L*gtu21 + At13L*gtu31 + At23L*gtu32) + At33L*gtu33; At11L = At11L - gt11L*kthird*trAt; @@ -139,18 +149,19 @@ void ML_BSSN_O8_enforce_Body(cGH const * restrict const cctkGH, int const dir, i /* 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; + vec_store_nta(alpha[index],alphaL); + vec_store_nta(At11[index],At11L); + vec_store_nta(At12[index],At12L); + vec_store_nta(At13[index],At13L); + vec_store_nta(At22[index],At22L); + vec_store_nta(At23[index],At23L); + vec_store_nta(At33[index],At33L); + i += CCTK_REAL_VEC_SIZE-1; } LC_ENDLOOP3 (ML_BSSN_O8_enforce); } -void ML_BSSN_O8_enforce(CCTK_ARGUMENTS) +extern "C" void ML_BSSN_O8_enforce(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_BSSN_O8/src/make.code.defn b/ML_BSSN_O8/src/make.code.defn index 7aae218..8799514 100644 --- a/ML_BSSN_O8/src/make.code.defn +++ b/ML_BSSN_O8/src/make.code.defn @@ -1,3 +1,3 @@ # File produced by Kranc -SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_O8_Minkowski.c ML_BSSN_O8_convertFromADMBase.c ML_BSSN_O8_convertFromADMBaseGamma.c ML_BSSN_O8_RHS1.c ML_BSSN_O8_RHS2.c ML_BSSN_O8_RHSStaticBoundary.c ML_BSSN_O8_RHSRadiativeBoundary.c ML_BSSN_O8_enforce.c ML_BSSN_O8_boundary.c ML_BSSN_O8_convertToADMBase.c ML_BSSN_O8_convertToADMBaseDtLapseShift.c ML_BSSN_O8_convertToADMBaseDtLapseShiftBoundary.c ML_BSSN_O8_convertToADMBaseFakeDtLapseShift.c ML_BSSN_O8_constraints.c ML_BSSN_O8_constraints_boundary.c Boundaries.c +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c ML_BSSN_O8_Minkowski.cc ML_BSSN_O8_convertFromADMBase.cc ML_BSSN_O8_convertFromADMBaseGamma.cc ML_BSSN_O8_RHS1.cc ML_BSSN_O8_RHS2.cc ML_BSSN_O8_RHSStaticBoundary.cc ML_BSSN_O8_RHSRadiativeBoundary.cc ML_BSSN_O8_enforce.cc ML_BSSN_O8_boundary.cc ML_BSSN_O8_convertToADMBase.cc ML_BSSN_O8_convertToADMBaseDtLapseShift.cc ML_BSSN_O8_convertToADMBaseDtLapseShiftBoundary.cc ML_BSSN_O8_convertToADMBaseFakeDtLapseShift.cc ML_BSSN_O8_constraints.cc ML_BSSN_O8_constraints_boundary.cc Boundaries.c diff --git a/ML_WaveToy/interface.ccl b/ML_WaveToy/interface.ccl index 0eaf036..4ac6c62 100644 --- a/ML_WaveToy/interface.ccl +++ b/ML_WaveToy/interface.ccl @@ -8,6 +8,7 @@ inherits: Grid GenericFD Boundary USES INCLUDE: GenericFD.h USES INCLUDE: Symmetry.h +USES INCLUDE: Vectors.hh USES INCLUDE: sbp_calc_coeffs.h USES INCLUDE: Boundary.h USES INCLUDE: loopcontrol.h diff --git a/ML_WaveToy/src/Differencing.h b/ML_WaveToy/src/Differencing.h index aa21060..1c7a87f 100644 --- a/ML_WaveToy/src/Differencing.h +++ b/ML_WaveToy/src/Differencing.h @@ -1,12 +1,12 @@ -#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*(u)[index+di*(-1)+dj*(0)+dk*(0)] + 8*(u)[index+di*(1)+dj*(0)+dk*(0)] + (u)[index+di*(-2)+dj*(0)+dk*(0)] - (u)[index+di*(2)+dj*(0)+dk*(0)])) -#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*(u)[index+di*(0)+dj*(-1)+dk*(0)] + 8*(u)[index+di*(0)+dj*(1)+dk*(0)] + (u)[index+di*(0)+dj*(-2)+dk*(0)] - (u)[index+di*(0)+dj*(2)+dk*(0)])) -#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*(u)[index+di*(0)+dj*(0)+dk*(-1)] + 8*(u)[index+di*(0)+dj*(0)+dk*(1)] + (u)[index+di*(0)+dj*(0)+dk*(-2)] - (u)[index+di*(0)+dj*(0)+dk*(2)])) -#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(-1)+dj*(0)+dk*(0)] + (u)[index+di*(1)+dj*(0)+dk*(0)]) + (u)[index+di*(-2)+dj*(0)+dk*(0)] + (u)[index+di*(2)+dj*(0)+dk*(0)])) -#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(-1)+dk*(0)] + (u)[index+di*(0)+dj*(1)+dk*(0)]) + (u)[index+di*(0)+dj*(-2)+dk*(0)] + (u)[index+di*(0)+dj*(2)+dk*(0)])) -#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*(u)[index+di*(0)+dj*(0)+dk*(0)] - 16*((u)[index+di*(0)+dj*(0)+dk*(-1)] + (u)[index+di*(0)+dj*(0)+dk*(1)]) + (u)[index+di*(0)+dj*(0)+dk*(-2)] + (u)[index+di*(0)+dj*(0)+dk*(2)])) -#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) -#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) -#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*((u)[index+di*(-1)+dj*(1)+dk*(0)] + (u)[index+di*(1)+dj*(-1)+dk*(0)]) + 64*((u)[index+di*(-1)+dj*(-1)+dk*(0)] + (u)[index+di*(1)+dj*(1)+dk*(0)]) + 8*((u)[index+di*(-1)+dj*(2)+dk*(0)] + (u)[index+di*(1)+dj*(-2)+dk*(0)] + (u)[index+di*(-2)+dj*(1)+dk*(0)] + (u)[index+di*(2)+dj*(-1)+dk*(0)]) - 8*((u)[index+di*(-1)+dj*(-2)+dk*(0)] + (u)[index+di*(1)+dj*(2)+dk*(0)] + (u)[index+di*(-2)+dj*(-1)+dk*(0)] + (u)[index+di*(2)+dj*(1)+dk*(0)]) + (u)[index+di*(-2)+dj*(-2)+dk*(0)] - (u)[index+di*(-2)+dj*(2)+dk*(0)] - (u)[index+di*(2)+dj*(-2)+dk*(0)] + (u)[index+di*(2)+dj*(2)+dk*(0)])) -#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) -#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*((u)[index+di*(-1)+dj*(0)+dk*(1)] + (u)[index+di*(1)+dj*(0)+dk*(-1)]) + 64*((u)[index+di*(-1)+dj*(0)+dk*(-1)] + (u)[index+di*(1)+dj*(0)+dk*(1)]) + 8*((u)[index+di*(-1)+dj*(0)+dk*(2)] + (u)[index+di*(1)+dj*(0)+dk*(-2)] + (u)[index+di*(-2)+dj*(0)+dk*(1)] + (u)[index+di*(2)+dj*(0)+dk*(-1)]) - 8*((u)[index+di*(-1)+dj*(0)+dk*(-2)] + (u)[index+di*(1)+dj*(0)+dk*(2)] + (u)[index+di*(-2)+dj*(0)+dk*(-1)] + (u)[index+di*(2)+dj*(0)+dk*(1)]) + (u)[index+di*(-2)+dj*(0)+dk*(-2)] - (u)[index+di*(-2)+dj*(0)+dk*(2)] - (u)[index+di*(2)+dj*(0)+dk*(-2)] + (u)[index+di*(2)+dj*(0)+dk*(2)])) -#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*((u)[index+di*(0)+dj*(-1)+dk*(1)] + (u)[index+di*(0)+dj*(1)+dk*(-1)]) + 64*((u)[index+di*(0)+dj*(-1)+dk*(-1)] + (u)[index+di*(0)+dj*(1)+dk*(1)]) + 8*((u)[index+di*(0)+dj*(-1)+dk*(2)] + (u)[index+di*(0)+dj*(1)+dk*(-2)] + (u)[index+di*(0)+dj*(-2)+dk*(1)] + (u)[index+di*(0)+dj*(2)+dk*(-1)]) - 8*((u)[index+di*(0)+dj*(-1)+dk*(-2)] + (u)[index+di*(0)+dj*(1)+dk*(2)] + (u)[index+di*(0)+dj*(-2)+dk*(-1)] + (u)[index+di*(0)+dj*(2)+dk*(1)]) + (u)[index+di*(0)+dj*(-2)+dk*(-2)] - (u)[index+di*(0)+dj*(-2)+dk*(2)] - (u)[index+di*(0)+dj*(2)+dk*(-2)] + (u)[index+di*(0)+dj*(2)+dk*(2)])) +#define PDstandardNth1(u,i,j,k) (p1o12dx*(-8*vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + 8*vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) - vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]))) +#define PDstandardNth2(u,i,j,k) (p1o12dy*(-8*vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + 8*vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) - vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]))) +#define PDstandardNth3(u,i,j,k) (p1o12dz*(-8*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + 8*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) - vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]))) +#define PDstandardNth11(u,i,j,k) (pm1o12dx2*(30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 16*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(0)]))) +#define PDstandardNth22(u,i,j,k) (pm1o12dy2*(30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 16*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(0)]))) +#define PDstandardNth33(u,i,j,k) (pm1o12dz2*(30*vec_loadu((u)[index+di*(0)+dj*(0)+dk*(0)]) - 16*(vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(0)+dk*(2)]))) +#define PDstandardNth12(u,i,j,k) (p1o144dxdy*(-64*(vec_loadu((u)[index+di*(-1)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-1)+dk*(0)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(1)+dk*(0)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-1)+dk*(0)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(-2)+dk*(0)]) - vec_loadu((u)[index+di*(-2)+dj*(2)+dk*(0)]) - vec_loadu((u)[index+di*(2)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(2)+dk*(0)]))) +#define PDstandardNth13(u,i,j,k) (p1o144dxdz*(-64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-2)]) - vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(2)]) - vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(2)]))) +#define PDstandardNth21(u,i,j,k) (p1o144dxdy*(-64*(vec_loadu((u)[index+di*(-1)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-1)+dk*(0)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(1)+dk*(0)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(-1)+dk*(0)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(1)+dj*(2)+dk*(0)]) + vec_loadu((u)[index+di*(-2)+dj*(-1)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(1)+dk*(0)])) + vec_loadu((u)[index+di*(-2)+dj*(-2)+dk*(0)]) - vec_loadu((u)[index+di*(-2)+dj*(2)+dk*(0)]) - vec_loadu((u)[index+di*(2)+dj*(-2)+dk*(0)]) + vec_loadu((u)[index+di*(2)+dj*(2)+dk*(0)]))) +#define PDstandardNth23(u,i,j,k) (p1o144dydz*(-64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-2)]) - vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(2)]) - vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(2)]))) +#define PDstandardNth31(u,i,j,k) (p1o144dxdz*(-64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(-1)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(1)+dj*(0)+dk*(2)]) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-1)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(1)])) + vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(-2)]) - vec_loadu((u)[index+di*(-2)+dj*(0)+dk*(2)]) - vec_loadu((u)[index+di*(2)+dj*(0)+dk*(-2)]) + vec_loadu((u)[index+di*(2)+dj*(0)+dk*(2)]))) +#define PDstandardNth32(u,i,j,k) (p1o144dydz*(-64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-1)])) + 64*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(1)])) + 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-1)])) - 8*(vec_loadu((u)[index+di*(0)+dj*(-1)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(1)+dk*(2)]) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-1)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(1)])) + vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(-2)]) - vec_loadu((u)[index+di*(0)+dj*(-2)+dk*(2)]) - vec_loadu((u)[index+di*(0)+dj*(2)+dk*(-2)]) + vec_loadu((u)[index+di*(0)+dj*(2)+dk*(2)]))) diff --git a/ML_WaveToy/src/WT_Gaussian.c b/ML_WaveToy/src/WT_Gaussian.cc index 39a2d41..9721eae 100644 --- a/ML_WaveToy/src/WT_Gaussian.c +++ b/ML_WaveToy/src/WT_Gaussian.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void WT_Gaussian_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[]) +static void WT_Gaussian_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; @@ -87,19 +88,19 @@ void WT_Gaussian_Body(cGH const * restrict const cctkGH, int const dir, int cons /* Precompute derivatives */ /* Calculate temporaries and grid functions */ - CCTK_REAL uL = 0; + CCTK_REAL_VEC uL = 0; - CCTK_REAL rhoL = 0; + CCTK_REAL_VEC rhoL = 0; /* Copy local copies back to grid functions */ - rho[index] = rhoL; - u[index] = uL; + vec_store_nta(rho[index],rhoL); + vec_store_nta(u[index],uL); } LC_ENDLOOP3 (WT_Gaussian); } -void WT_Gaussian(CCTK_ARGUMENTS) +extern "C" void WT_Gaussian(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_WaveToy/src/WT_RHS.c b/ML_WaveToy/src/WT_RHS.cc index 4f0e59f..ed0c933 100644 --- a/ML_WaveToy/src/WT_RHS.c +++ b/ML_WaveToy/src/WT_RHS.cc @@ -11,6 +11,7 @@ #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" +#include "Vectors.hh" #include "loopcontrol.h" /* Define macros used in calculations */ @@ -20,7 +21,7 @@ #define CUB(x) ((x) * (x) * (x)) #define QAD(x) ((x) * (x) * (x) * (x)) -void WT_RHS_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[]) +static void WT_RHS_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; @@ -84,31 +85,31 @@ void WT_RHS_Body(cGH const * restrict const cctkGH, int const dir, int const fac // CCTK_REAL PDstandardNth33u = INITVALUE; /* Assign local copies of grid functions */ - CCTK_REAL rhoL = rho[index]; - CCTK_REAL uL = u[index]; + CCTK_REAL_VEC rhoL = vec_load(rho[index]); + CCTK_REAL_VEC uL = vec_load(u[index]); /* Include user supplied include files */ /* Precompute derivatives */ - CCTK_REAL const PDstandardNth11u = PDstandardNth11(u, i, j, k); - CCTK_REAL const PDstandardNth22u = PDstandardNth22(u, i, j, k); - CCTK_REAL const PDstandardNth33u = PDstandardNth33(u, i, j, k); + CCTK_REAL_VEC const PDstandardNth11u = PDstandardNth11(u, i, j, k); + CCTK_REAL_VEC const PDstandardNth22u = PDstandardNth22(u, i, j, k); + CCTK_REAL_VEC const PDstandardNth33u = PDstandardNth33(u, i, j, k); /* Calculate temporaries and grid functions */ - CCTK_REAL urhsL = rhoL; + CCTK_REAL_VEC urhsL = rhoL; - CCTK_REAL rhorhsL = PDstandardNth11u + PDstandardNth22u + + CCTK_REAL_VEC rhorhsL = PDstandardNth11u + PDstandardNth22u + PDstandardNth33u; /* Copy local copies back to grid functions */ - rhorhs[index] = rhorhsL; - urhs[index] = urhsL; + vec_store_nta(rhorhs[index],rhorhsL); + vec_store_nta(urhs[index],urhsL); } LC_ENDLOOP3 (WT_RHS); } -void WT_RHS(CCTK_ARGUMENTS) +extern "C" void WT_RHS(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; diff --git a/ML_WaveToy/src/make.code.defn b/ML_WaveToy/src/make.code.defn index 9a7a3e2..f7212fe 100644 --- a/ML_WaveToy/src/make.code.defn +++ b/ML_WaveToy/src/make.code.defn @@ -1,3 +1,3 @@ # File produced by Kranc -SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c WT_Gaussian.c WT_RHS.c Boundaries.c +SRCS = Startup.c RegisterMoL.c RegisterSymmetries.c WT_Gaussian.cc WT_RHS.cc Boundaries.c |