/* File produced by Kranc */ #define KRANC_C #include #include #include #include #include #include "cctk.h" #include "cctk_Arguments.h" #include "cctk_Parameters.h" #include "GenericFD.h" #include "Differencing.h" #include "cctk_Loop.h" #include "loopcontrol.h" #include "vectors.h" /* Define macros used in calculations */ #define INITVALUE (42) #define ScalarINV(x) ((CCTK_REAL)1.0 / (x)) #define ScalarSQR(x) ((x) * (x)) #define ScalarCUB(x) ((x) * ScalarSQR(x)) #define ScalarQAD(x) (ScalarSQR(ScalarSQR(x))) #define INV(x) (kdiv(ToReal(1.0),x)) #define SQR(x) (kmul(x,x)) #define CUB(x) (kmul(x,SQR(x))) #define QAD(x) (SQR(SQR(x))) 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 imin[3], int const imax[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[]) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; /* Include user-supplied include files */ /* Initialise finite differencing variables */ ptrdiff_t const di = 1; ptrdiff_t const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0); ptrdiff_t const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0); ptrdiff_t const cdi = sizeof(CCTK_REAL) * di; ptrdiff_t const cdj = sizeof(CCTK_REAL) * dj; ptrdiff_t const cdk = sizeof(CCTK_REAL) * dk; CCTK_REAL_VEC const dx = ToReal(CCTK_DELTA_SPACE(0)); CCTK_REAL_VEC const dy = ToReal(CCTK_DELTA_SPACE(1)); CCTK_REAL_VEC const dz = ToReal(CCTK_DELTA_SPACE(2)); CCTK_REAL_VEC const dt = ToReal(CCTK_DELTA_TIME); CCTK_REAL_VEC const t = ToReal(cctk_time); CCTK_REAL_VEC const dxi = INV(dx); CCTK_REAL_VEC const dyi = INV(dy); CCTK_REAL_VEC const dzi = INV(dz); CCTK_REAL_VEC const khalf = ToReal(0.5); CCTK_REAL_VEC const kthird = ToReal(1.0/3.0); CCTK_REAL_VEC const ktwothird = ToReal(2.0/3.0); CCTK_REAL_VEC const kfourthird = ToReal(4.0/3.0); CCTK_REAL_VEC const keightthird = ToReal(8.0/3.0); CCTK_REAL_VEC const hdxi = kmul(ToReal(0.5), dxi); CCTK_REAL_VEC const hdyi = kmul(ToReal(0.5), dyi); CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi); /* Initialize predefined quantities */ CCTK_REAL_VEC const p1o1024dx = kdiv(ToReal(0.0009765625),dx); CCTK_REAL_VEC const p1o1024dy = kdiv(ToReal(0.0009765625),dy); CCTK_REAL_VEC const p1o1024dz = kdiv(ToReal(0.0009765625),dz); CCTK_REAL_VEC const p1o120dx = kdiv(ToReal(0.00833333333333333333333333333333),dx); CCTK_REAL_VEC const p1o120dy = kdiv(ToReal(0.00833333333333333333333333333333),dy); CCTK_REAL_VEC const p1o120dz = kdiv(ToReal(0.00833333333333333333333333333333),dz); CCTK_REAL_VEC const p1o12dx = kdiv(ToReal(0.0833333333333333333333333333333),dx); CCTK_REAL_VEC const p1o12dy = kdiv(ToReal(0.0833333333333333333333333333333),dy); CCTK_REAL_VEC const p1o12dz = kdiv(ToReal(0.0833333333333333333333333333333),dz); CCTK_REAL_VEC const p1o144dxdy = kdiv(ToReal(0.00694444444444444444444444444444),kmul(dy,dx)); CCTK_REAL_VEC const p1o144dxdz = kdiv(ToReal(0.00694444444444444444444444444444),kmul(dz,dx)); CCTK_REAL_VEC const p1o144dydz = kdiv(ToReal(0.00694444444444444444444444444444),kmul(dz,dy)); CCTK_REAL_VEC const p1o1680dx = kdiv(ToReal(0.000595238095238095238095238095238),dx); CCTK_REAL_VEC const p1o1680dy = kdiv(ToReal(0.000595238095238095238095238095238),dy); CCTK_REAL_VEC const p1o1680dz = kdiv(ToReal(0.000595238095238095238095238095238),dz); CCTK_REAL_VEC const p1o16dx = kdiv(ToReal(0.0625),dx); CCTK_REAL_VEC const p1o16dy = kdiv(ToReal(0.0625),dy); CCTK_REAL_VEC const p1o16dz = kdiv(ToReal(0.0625),dz); CCTK_REAL_VEC const p1o180dx2 = kdiv(ToReal(0.00555555555555555555555555555556),kmul(dx,dx)); CCTK_REAL_VEC const p1o180dy2 = kdiv(ToReal(0.00555555555555555555555555555556),kmul(dy,dy)); CCTK_REAL_VEC const p1o180dz2 = kdiv(ToReal(0.00555555555555555555555555555556),kmul(dz,dz)); CCTK_REAL_VEC const p1o24dx = kdiv(ToReal(0.0416666666666666666666666666667),dx); CCTK_REAL_VEC const p1o24dy = kdiv(ToReal(0.0416666666666666666666666666667),dy); CCTK_REAL_VEC const p1o24dz = kdiv(ToReal(0.0416666666666666666666666666667),dz); CCTK_REAL_VEC const p1o256dx = kdiv(ToReal(0.00390625),dx); CCTK_REAL_VEC const p1o256dy = kdiv(ToReal(0.00390625),dy); CCTK_REAL_VEC const p1o256dz = kdiv(ToReal(0.00390625),dz); CCTK_REAL_VEC const p1o2dx = kdiv(ToReal(0.5),dx); CCTK_REAL_VEC const p1o2dy = kdiv(ToReal(0.5),dy); CCTK_REAL_VEC const p1o2dz = kdiv(ToReal(0.5),dz); CCTK_REAL_VEC const p1o3600dxdy = kdiv(ToReal(0.000277777777777777777777777777778),kmul(dy,dx)); CCTK_REAL_VEC const p1o3600dxdz = kdiv(ToReal(0.000277777777777777777777777777778),kmul(dz,dx)); CCTK_REAL_VEC const p1o3600dydz = kdiv(ToReal(0.000277777777777777777777777777778),kmul(dz,dy)); CCTK_REAL_VEC const p1o4dx = kdiv(ToReal(0.25),dx); CCTK_REAL_VEC const p1o4dxdy = kdiv(ToReal(0.25),kmul(dy,dx)); CCTK_REAL_VEC const p1o4dxdz = kdiv(ToReal(0.25),kmul(dz,dx)); CCTK_REAL_VEC const p1o4dy = kdiv(ToReal(0.25),dy); CCTK_REAL_VEC const p1o4dydz = kdiv(ToReal(0.25),kmul(dz,dy)); CCTK_REAL_VEC const p1o4dz = kdiv(ToReal(0.25),dz); CCTK_REAL_VEC const p1o5040dx2 = kdiv(ToReal(0.000198412698412698412698412698413),kmul(dx,dx)); CCTK_REAL_VEC const p1o5040dy2 = kdiv(ToReal(0.000198412698412698412698412698413),kmul(dy,dy)); CCTK_REAL_VEC const p1o5040dz2 = kdiv(ToReal(0.000198412698412698412698412698413),kmul(dz,dz)); CCTK_REAL_VEC const p1o560dx = kdiv(ToReal(0.00178571428571428571428571428571),dx); CCTK_REAL_VEC const p1o560dy = kdiv(ToReal(0.00178571428571428571428571428571),dy); CCTK_REAL_VEC const p1o560dz = kdiv(ToReal(0.00178571428571428571428571428571),dz); CCTK_REAL_VEC const p1o60dx = kdiv(ToReal(0.0166666666666666666666666666667),dx); CCTK_REAL_VEC const p1o60dy = kdiv(ToReal(0.0166666666666666666666666666667),dy); CCTK_REAL_VEC const p1o60dz = kdiv(ToReal(0.0166666666666666666666666666667),dz); CCTK_REAL_VEC const p1o64dx = kdiv(ToReal(0.015625),dx); CCTK_REAL_VEC const p1o64dy = kdiv(ToReal(0.015625),dy); CCTK_REAL_VEC const p1o64dz = kdiv(ToReal(0.015625),dz); CCTK_REAL_VEC const p1o705600dxdy = kdiv(ToReal(1.41723356009070294784580498866e-6),kmul(dy,dx)); CCTK_REAL_VEC const p1o705600dxdz = kdiv(ToReal(1.41723356009070294784580498866e-6),kmul(dz,dx)); CCTK_REAL_VEC const p1o705600dydz = kdiv(ToReal(1.41723356009070294784580498866e-6),kmul(dz,dy)); CCTK_REAL_VEC const p1o840dx = kdiv(ToReal(0.00119047619047619047619047619048),dx); CCTK_REAL_VEC const p1o840dy = kdiv(ToReal(0.00119047619047619047619047619048),dy); CCTK_REAL_VEC const p1o840dz = kdiv(ToReal(0.00119047619047619047619047619048),dz); CCTK_REAL_VEC const p1odx = kdiv(ToReal(1),dx); CCTK_REAL_VEC const p1odx2 = kdiv(ToReal(1),kmul(dx,dx)); CCTK_REAL_VEC const p1ody = kdiv(ToReal(1),dy); CCTK_REAL_VEC const p1ody2 = kdiv(ToReal(1),kmul(dy,dy)); CCTK_REAL_VEC const p1odz = kdiv(ToReal(1),dz); CCTK_REAL_VEC const p1odz2 = kdiv(ToReal(1),kmul(dz,dz)); CCTK_REAL_VEC const pm1o120dx = kdiv(ToReal(-0.00833333333333333333333333333333),dx); CCTK_REAL_VEC const pm1o120dy = kdiv(ToReal(-0.00833333333333333333333333333333),dy); CCTK_REAL_VEC const pm1o120dz = kdiv(ToReal(-0.00833333333333333333333333333333),dz); CCTK_REAL_VEC const pm1o12dx2 = kdiv(ToReal(-0.0833333333333333333333333333333),kmul(dx,dx)); CCTK_REAL_VEC const pm1o12dy2 = kdiv(ToReal(-0.0833333333333333333333333333333),kmul(dy,dy)); CCTK_REAL_VEC const pm1o12dz2 = kdiv(ToReal(-0.0833333333333333333333333333333),kmul(dz,dz)); CCTK_REAL_VEC const pm1o2dx = kdiv(ToReal(-0.5),dx); CCTK_REAL_VEC const pm1o2dy = kdiv(ToReal(-0.5),dy); CCTK_REAL_VEC const pm1o2dz = kdiv(ToReal(-0.5),dz); CCTK_REAL_VEC const pm1o4dx = kdiv(ToReal(-0.25),dx); CCTK_REAL_VEC const pm1o4dy = kdiv(ToReal(-0.25),dy); CCTK_REAL_VEC const pm1o4dz = kdiv(ToReal(-0.25),dz); CCTK_REAL_VEC const pm1o60dx = kdiv(ToReal(-0.0166666666666666666666666666667),dx); CCTK_REAL_VEC const pm1o60dy = kdiv(ToReal(-0.0166666666666666666666666666667),dy); CCTK_REAL_VEC const pm1o60dz = kdiv(ToReal(-0.0166666666666666666666666666667),dz); /* Jacobian variable pointers */ bool const use_jacobian = (!CCTK_IsFunctionAliased("MultiPatch_GetMap") || MultiPatch_GetMap(cctkGH) != jacobian_identity_map) && strlen(jacobian_group) > 0; if (use_jacobian && strlen(jacobian_derivative_group) == 0) { CCTK_WARN (1, "GenericFD::jacobian_group and GenericFD::jacobian_derivative_group must both be set to valid group names"); } CCTK_REAL const *restrict jacobian_ptrs[9]; if (use_jacobian) GenericFD_GroupDataPointers(cctkGH, jacobian_group, 9, jacobian_ptrs); CCTK_REAL const *restrict const J11 = use_jacobian ? jacobian_ptrs[0] : 0; CCTK_REAL const *restrict const J12 = use_jacobian ? jacobian_ptrs[1] : 0; CCTK_REAL const *restrict const J13 = use_jacobian ? jacobian_ptrs[2] : 0; CCTK_REAL const *restrict const J21 = use_jacobian ? jacobian_ptrs[3] : 0; CCTK_REAL const *restrict const J22 = use_jacobian ? jacobian_ptrs[4] : 0; CCTK_REAL const *restrict const J23 = use_jacobian ? jacobian_ptrs[5] : 0; CCTK_REAL const *restrict const J31 = use_jacobian ? jacobian_ptrs[6] : 0; CCTK_REAL const *restrict const J32 = use_jacobian ? jacobian_ptrs[7] : 0; CCTK_REAL const *restrict const J33 = use_jacobian ? jacobian_ptrs[8] : 0; CCTK_REAL const *restrict jacobian_derivative_ptrs[18]; if (use_jacobian) GenericFD_GroupDataPointers(cctkGH, jacobian_derivative_group, 18, jacobian_derivative_ptrs); CCTK_REAL const *restrict const dJ111 = use_jacobian ? jacobian_derivative_ptrs[0] : 0; CCTK_REAL const *restrict const dJ112 = use_jacobian ? jacobian_derivative_ptrs[1] : 0; CCTK_REAL const *restrict const dJ113 = use_jacobian ? jacobian_derivative_ptrs[2] : 0; CCTK_REAL const *restrict const dJ122 = use_jacobian ? jacobian_derivative_ptrs[3] : 0; CCTK_REAL const *restrict const dJ123 = use_jacobian ? jacobian_derivative_ptrs[4] : 0; CCTK_REAL const *restrict const dJ133 = use_jacobian ? jacobian_derivative_ptrs[5] : 0; CCTK_REAL const *restrict const dJ211 = use_jacobian ? jacobian_derivative_ptrs[6] : 0; CCTK_REAL const *restrict const dJ212 = use_jacobian ? jacobian_derivative_ptrs[7] : 0; CCTK_REAL const *restrict const dJ213 = use_jacobian ? jacobian_derivative_ptrs[8] : 0; CCTK_REAL const *restrict const dJ222 = use_jacobian ? jacobian_derivative_ptrs[9] : 0; CCTK_REAL const *restrict const dJ223 = use_jacobian ? jacobian_derivative_ptrs[10] : 0; CCTK_REAL const *restrict const dJ233 = use_jacobian ? jacobian_derivative_ptrs[11] : 0; CCTK_REAL const *restrict const dJ311 = use_jacobian ? jacobian_derivative_ptrs[12] : 0; CCTK_REAL const *restrict const dJ312 = use_jacobian ? jacobian_derivative_ptrs[13] : 0; CCTK_REAL const *restrict const dJ313 = use_jacobian ? jacobian_derivative_ptrs[14] : 0; CCTK_REAL const *restrict const dJ322 = use_jacobian ? jacobian_derivative_ptrs[15] : 0; CCTK_REAL const *restrict const dJ323 = use_jacobian ? jacobian_derivative_ptrs[16] : 0; CCTK_REAL const *restrict const dJ333 = use_jacobian ? jacobian_derivative_ptrs[17] : 0; /* Assign local copies of arrays functions */ /* Calculate temporaries and arrays functions */ /* Copy local copies back to grid functions */ /* Loop over the grid points */ #pragma omp parallel LC_LOOP3VEC(ML_BSSN_convertFromADMBase, i,j,k, imin[0],imin[1],imin[2], imax[0],imax[1],imax[2], cctk_ash[0],cctk_ash[1],cctk_ash[2], CCTK_REAL_VEC_SIZE) { ptrdiff_t const index = di*i + dj*j + dk*k; /* 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 */ switch(fdOrder) { case 2: break; case 4: break; case 6: break; case 8: break; } /* 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 = knmsub(g22,kmul(g13,g13),knmsub(g11,kmul(g23,g23),kmadd(g33,kmsub(g11,g22,kmul(g12,g12)),kmul(g12,kmul(g13,kmul(g23,ToReal(2))))))); CCTK_REAL_VEC gu11 = kdiv(kmsub(g22,g33,kmul(g23,g23)),detg); CCTK_REAL_VEC gu12 = kdiv(kmsub(g13,g23,kmul(g12,g33)),detg); CCTK_REAL_VEC gu13 = kdiv(kmsub(g12,g23,kmul(g13,g22)),detg); CCTK_REAL_VEC gu22 = kdiv(kmsub(g11,g33,kmul(g13,g13)),detg); CCTK_REAL_VEC gu23 = kdiv(kmsub(g12,g13,kmul(g11,g23)),detg); CCTK_REAL_VEC gu33 = kdiv(kmsub(g11,g22,kmul(g12,g12)),detg); CCTK_REAL_VEC em4phi; if (conformalMethod == 1) { phiL = kpow(detg,-0.166666666666666666666666666667); em4phi = kmul(phiL,phiL); } else { phiL = kmul(klog(detg),ToReal(0.0833333333333333333333333333333)); em4phi = kexp(kmul(phiL,ToReal(-4))); } CCTK_REAL_VEC gt11L = kmul(em4phi,g11); CCTK_REAL_VEC gt12L = kmul(em4phi,g12); CCTK_REAL_VEC gt13L = kmul(em4phi,g13); CCTK_REAL_VEC gt22L = kmul(em4phi,g22); CCTK_REAL_VEC gt23L = kmul(em4phi,g23); CCTK_REAL_VEC gt33L = kmul(em4phi,g33); trKL = kmadd(kxxL,gu11,kmadd(kyyL,gu22,kmadd(kzzL,gu33,kmul(kmadd(kxyL,gu12,kmadd(kxzL,gu13,kmul(kyzL,gu23))),ToReal(2))))); CCTK_REAL_VEC At11L = kmul(em4phi,kmadd(trKL,kmul(g11,ToReal(-0.333333333333333333333333333333)),kxxL)); CCTK_REAL_VEC At12L = kmul(em4phi,kmadd(trKL,kmul(g12,ToReal(-0.333333333333333333333333333333)),kxyL)); CCTK_REAL_VEC At13L = kmul(em4phi,kmadd(trKL,kmul(g13,ToReal(-0.333333333333333333333333333333)),kxzL)); CCTK_REAL_VEC At22L = kmul(em4phi,kmadd(trKL,kmul(g22,ToReal(-0.333333333333333333333333333333)),kyyL)); CCTK_REAL_VEC At23L = kmul(em4phi,kmadd(trKL,kmul(g23,ToReal(-0.333333333333333333333333333333)),kyzL)); CCTK_REAL_VEC At33L = kmul(em4phi,kmadd(trKL,kmul(g33,ToReal(-0.333333333333333333333333333333)),kzzL)); 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_partial_prepare(i,lc_imin,lc_imax); vec_store_nta_partial(alpha[index],alphaL); vec_store_nta_partial(At11[index],At11L); vec_store_nta_partial(At12[index],At12L); vec_store_nta_partial(At13[index],At13L); vec_store_nta_partial(At22[index],At22L); vec_store_nta_partial(At23[index],At23L); vec_store_nta_partial(At33[index],At33L); vec_store_nta_partial(beta1[index],beta1L); vec_store_nta_partial(beta2[index],beta2L); vec_store_nta_partial(beta3[index],beta3L); vec_store_nta_partial(gt11[index],gt11L); vec_store_nta_partial(gt12[index],gt12L); vec_store_nta_partial(gt13[index],gt13L); vec_store_nta_partial(gt22[index],gt22L); vec_store_nta_partial(gt23[index],gt23L); vec_store_nta_partial(gt33[index],gt33L); vec_store_nta_partial(phi[index],phiL); vec_store_nta_partial(trK[index],trKL); } LC_ENDLOOP3VEC(ML_BSSN_convertFromADMBase); } extern "C" void ML_BSSN_convertFromADMBase(CCTK_ARGUMENTS) { DECLARE_CCTK_ARGUMENTS; DECLARE_CCTK_PARAMETERS; 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; } const char *const groups[] = { "ADMBase::curv", "ADMBase::lapse", "ADMBase::metric", "ADMBase::shift", "ML_BSSN::ML_curv", "ML_BSSN::ML_lapse", "ML_BSSN::ML_log_confac", "ML_BSSN::ML_metric", "ML_BSSN::ML_shift", "ML_BSSN::ML_trace_curv"}; GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_convertFromADMBase", 10, groups); switch(fdOrder) { case 2: break; case 4: break; case 6: break; case 8: break; } GenericFD_LoopOverEverything(cctkGH, ML_BSSN_convertFromADMBase_Body); if (verbose > 1) { CCTK_VInfo(CCTK_THORNSTRING,"Leaving ML_BSSN_convertFromADMBase_Body"); } }