{
  "thorn_name": "CactusExamples/WaveMoL",
  "url": "https://bitbucket.org/cactuscode/cactusexamples.git",
  "configuration": "# Configuration definition for thorn WaveMoL\n# $Header$\n\nREQUIRES CartGrid3D\n",
  "interface": "# Interface definition for thorn WaveMoL\n# $Header$\n\nimplements: wavemol\n\nUSES INCLUDE: Symmetry.h\n\nCCTK_INT FUNCTION MoLRegisterEvolvedGroup(CCTK_INT IN EvolvedIndex, \\\n                                          CCTK_INT IN RHSIndex)\nCCTK_INT FUNCTION MoLRegisterConstrained(CCTK_INT IN ConstrainedIndex)\n\nREQUIRES FUNCTION MoLRegisterEvolvedGroup\nREQUIRES FUNCTION MoLRegisterConstrained\n\nCCTK_INT FUNCTION Boundary_SelectGroupForBC(CCTK_POINTER_TO_CONST IN cctkGH,\n  CCTK_INT IN faces, CCTK_INT IN width, CCTK_INT IN table_handle,\n  CCTK_STRING IN var_name, CCTK_STRING IN bc_name)\nUSES FUNCTION Boundary_SelectGroupForBC\n\nCCTK_INT FUNCTION Driver_SelectGroupForBC(CCTK_POINTER_TO_CONST IN cctkGH,\n  CCTK_INT IN faces, CCTK_INT IN width, CCTK_INT IN table_handle,\n  CCTK_STRING IN var_name, CCTK_STRING IN bc_name)\nUSES FUNCTION Driver_SelectGroupForBC\n\npublic:\n\ncctk_real scalarevolvemol_scalar type = GF Timelevels = 3 tags='tensortypealias=\"Scalar\"'\n{\n  phi\n  phit\n} \"The scalar field and time derivative\"\n\ncctk_real scalarevolvemol_vector type = GF Timelevels = 3 tags='tensortypealias=\"U\"'\n{\n  phix\n  phiy\n  phiz\n} \"The scalar field spatial derivatives\"\n\ncctk_real scalarrhsmol_scalar type = GF Timelevels = 1\n{\n  phirhs\n  phitrhs\n} \"The right hand side for the scalar field\"\n\ncctk_real scalarrhsmol_vector type = GF Timelevels = 1\n{\n  phixrhs\n  phiyrhs\n  phizrhs\n} \"The right hand side for the scalar field derivatives\"\n\ncctk_real energy type = GF Timelevels = 1 \"The energy of the field\"\n\n",
  "param": "# Parameter definitions for thorn WaveMoL\n# $Header$\n\nshares: MethodOfLines\n\nUSES CCTK_INT MoL_Num_Evolved_Vars\nUSES CCTK_INT MoL_Num_Constrained_Vars\nUSES CCTK_INT MoL_Num_SaveAndRestore_Vars\n\nrestricted:\n\nCCTK_INT WaveMoL_MaxNumEvolvedVars \"The maximum number of evolved variables used by WaveMoL\" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Evolved_Vars\n{\n  5:5\t\t:: \"Just 5: phi and the four derivatives\"\n} 5\n\nCCTK_INT WaveMoL_MaxNumConstrainedVars \"The maximum number of constrained variables used by WaveMoL\" ACCUMULATOR-BASE=MethodofLines::MoL_Num_Constrained_Vars\n{\n  1:1\t\t:: \"The energy\"\n} 1\n\nprivate:\n\nKEYWORD bound \"Type of boundary condition to use\"\n{\n  \"none\"      :: \"No boundary condition\"\n  \"flat\"      :: \"Flat boundary condition\"\n  \"radiation\" :: \"Radiation boundary condition\"\n} \"none\"\n",
  "schedule": "# Schedule definitions for thorn WaveMoL\n# $Header$\n\nSTORAGE: scalarevolvemol_scalar[3], scalarevolvemol_vector[3]\nSTORAGE: scalarrhsmol_scalar, scalarrhsmol_vector\nSTORAGE: energy\n\nschedule WaveMoL_Startup at STARTUP\n{\n  LANG: C\n} \"Register Banner\"\n\nschedule WaveMoL_InitSymBound at BASEGRID\n{\n  LANG: C\n  OPTIONS: META\n} \"Schedule symmetries\"\n\nschedule WaveMoL_RegisterVars in MoL_Register\n{\n  LANG: C\n  OPTIONS: META\n} \"Register variables for MoL\"\n\nschedule WaveMoL_SelectDriverBC in Driver_BoundarySelect\n{\n  LANG: C\n  OPTIONS: GLOBAL\n} \"Choose boundary condtion for driver to apply\"\n\nschedule WaveMoL_CalcRHS in MoL_CalcRHS\n{\n  LANG: C\n  READS: wavemol::phit(everywhere), scalarevolvemol_vector\n  WRITES: wavemol::scalarrhsmol_scalar(interior), scalarrhsmol_vector\n} \"Register RHS calculation for MoL\"\n\nschedule WaveMoL_Energy in MoL_PostStep\n{\n  LANG: C\n  READS: wavemol::phit(everywhere), scalarevolvemol_vector\n  WRITES: wavemol::energy(everywhere)\n} \"Calculate the energy\"\n\nschedule WaveMoL_Energy at POSTINITIAL\n{\n  LANG: C\n} \"Calculate the energy\"\n\nschedule WaveMoL_Boundaries in MoL_PostStep\n{\n  LANG: C\n  OPTIONS: LEVEL\n  SYNC: scalarevolvemol_scalar\n  SYNC: scalarevolvemol_vector\n} \"Register boundary enforcement in MoL\"\n\nschedule GROUP ApplyBCs as WaveMoL_ApplyBCs in MoL_PostStep after WaveMoL_Boundaries\n{\n} \"Apply boundary conditions for WaveMoL\"\n",
  "src": {
    "make.code.defn": "# Main make.code.defn file for thorn WaveMoL\n# $Header$\n\n# Source files in this directory\nSRCS = WaveMoL.c InitSymBound.c Startup.c WaveMoLRegister.c\n\n# Subdirectories containing source files\nSUBDIRS = \n\n",
    "WaveMoLRegister.c": " /*@@\n   @file      WaveMoLRegister.c\n   @date      Fri Nov  9 13:47:07 2001\n   @author    Ian Hawke\n   @desc \n   Routine to register the variables with the MoL thorn.\n   @enddesc \n @@*/\n\n#include \"cctk.h\"\n#include \"cctk_Arguments.h\"\n#include \"cctk_Functions.h\"\n#include \"cctk_Parameters.h\"\n\nstatic const char *rcsid = \"$Header$\";\n\nCCTK_FILEVERSION(CactusExamples_WaveMoL_WaveMoLRegister_c)\n\n/*\n#ifndef DEBUG_MOL\n#define DEBUG_MOL\n#endif\n*/\n\nvoid WaveMoL_RegisterVars(CCTK_ARGUMENTS);\n\n /*@@\n   @routine    WaveMoL_RegisterVars\n   @date       Fri Nov  9 13:47:41 2001\n   @author     Ian Hawke\n   @desc \n   The registration routine.\n   @enddesc \n   @calls     \n   @calledby   \n   @history \n \n   @endhistory \n\n@@*/\n\nvoid WaveMoL_RegisterVars(CCTK_ARGUMENTS)\n{\n\n  DECLARE_CCTK_ARGUMENTS_WaveMoL_RegisterVars;\n  DECLARE_CCTK_PARAMETERS;\n\n  CCTK_INT ierr = 0, group, rhs, var;\n\n  group = CCTK_GroupIndex(\"wavemol::scalarevolvemol_scalar\");\n  rhs = CCTK_GroupIndex(\"wavemol::scalarrhsmol_scalar\");\n\n  if (CCTK_IsFunctionAliased(\"MoLRegisterEvolvedGroup\"))\n  {\n    ierr += MoLRegisterEvolvedGroup(group, rhs);\n  }\n  else\n  {\n    CCTK_WARN(0, \"MoL function not aliased\");\n    ierr++;\n  }\n\n  group = CCTK_GroupIndex(\"wavemol::scalarevolvemol_vector\");\n  rhs = CCTK_GroupIndex(\"wavemol::scalarrhsmol_vector\");\n\n  if (CCTK_IsFunctionAliased(\"MoLRegisterEvolvedGroup\"))\n  {\n    ierr += MoLRegisterEvolvedGroup(group, rhs);\n  }\n  else\n  {\n    CCTK_WARN(0, \"MoL function MoLRegisterEvolvedGroup not aliased\");\n    ierr++;\n  }\n\n  var = CCTK_VarIndex(\"wavemol::energy\");\n\n  if (CCTK_IsFunctionAliased(\"MoLRegisterConstrained\"))\n  {\n    ierr += MoLRegisterConstrained(var);\n  }\n  else\n  {\n    CCTK_WARN(0, \"MoL function MoLRegisterConstrained not aliased\");\n    ierr++;\n  }      \n  \n  if (ierr) CCTK_WARN(0,\"Problems registering with MoL\");\n\n#ifdef DEBUG_MOL\n  printf(\"If we've got this far, then we've done with wavetoy registration.\\n\");\n#endif  \n}\n\nvoid WaveMoL_SelectDriverBC(CCTK_ARGUMENTS)\n{\n  DECLARE_CCTK_ARGUMENTS_WaveMoL_SelectDriverBC;\n  DECLARE_CCTK_PARAMETERS;\n\n  int ierr;\n\n  /* Uses all default arguments, so invalid table handle -1 can be passed */\n  ierr = Driver_SelectGroupForBC\n    (cctkGH, CCTK_ALL_FACES, 1, -1, \"wavemol::scalarevolvemol_scalar\", bound);\n\n  if (ierr < 0)\n  {\n    CCTK_ERROR(\"Failed to register bound BC for wavemol::scalarevolvemol_scalar!\");\n  }\n\n  ierr = Driver_SelectGroupForBC\n    (cctkGH, CCTK_ALL_FACES, 1, -1, \"wavemol::scalarevolvemol_vector\", bound);\n\n  if (ierr < 0)\n  {\n    CCTK_ERROR(\"Failed to register bound BC for wavemol::scalarevolvemol_vector!\");\n  }\n}\n",
    "InitSymBound.c": " /*@@\n   @file      InitSymBound.c\n   @date      Fri Nov  9 13:29:53 2001\n   @author    Ian Hawke\n   @desc \n   Sets the symmetries for Wave Toy - again copies the standard.\n   @enddesc \n @@*/\n\n#include \"cctk.h\"\n#include \"cctk_Arguments.h\"\n\n#include \"Symmetry.h\"\n\nstatic const char *rcsid = \"$Header$\";\n\nCCTK_FILEVERSION(CactusExamples_WaveMoL_InitSymBound_c)\n\nvoid WaveMoL_InitSymBound(CCTK_ARGUMENTS);\n /*@@\n   @routine    WaveMoL_InitSymBound\n   @date       Fri Nov  9 13:31:28 2001\n   @author     Ian Hawke\n   @desc \n   Another straight copy of a wave toy routine, however extended \n   for all the new GFs.\n   @enddesc \n   @calls     \n   @calledby   \n   @history \n \n   @endhistory \n\n@@*/\n\nvoid WaveMoL_InitSymBound(CCTK_ARGUMENTS)\n{\n  DECLARE_CCTK_ARGUMENTS_WaveMoL_InitSymBound;\n      \n  int sym[3];\n\n  sym[0] = 1;\n  sym[1] = 1;\n  sym[2] = 1;\n\n  SetCartSymVN(cctkGH, sym,\"wavemol::phi\");\n  SetCartSymVN(cctkGH, sym,\"wavemol::phit\");\n\n  sym[0] = -1;\n  sym[1] = 1;\n  sym[2] = 1;\n  SetCartSymVN(cctkGH, sym,\"wavemol::phix\");\n\n  sym[0] = 1;\n  sym[1] = -1;\n  sym[2] = 1;\n  SetCartSymVN(cctkGH, sym,\"wavemol::phiy\");\n\n  sym[0] = 1;\n  sym[1] = 1;\n  sym[2] = -1;\n  SetCartSymVN(cctkGH, sym,\"wavemol::phiz\");\n\n  return;\n}\n",
    "Startup.c": " /*@@\n   @file      Startup.c\n   @date      Fri Nov  9 13:27:48 2001\n   @author    Ian Hawke\n   @desc \n   Register banner - a straight copy of WaveToy.\n   @enddesc \n @@*/\n\n\n#include \"cctk.h\"\n\nstatic const char *rcsid = \"$Header$\";\n\nCCTK_FILEVERSION(CactusExamples_WaveMoL_Startup_c)\n\nint WaveMoL_Startup(void);\n\n /*@@\n   @routine    WaveMoL_Startup\n   @date       Fri Nov  9 13:28:58 2001\n   @author     Ian Hawke\n   @desc \n   Again a straight copy of WaveToyC\n   @enddesc \n   @calls     \n   @calledby   \n   @history \n \n   @endhistory \n\n@@*/\n\nint WaveMoL_Startup(void)\n{\n\n   const char *banner = \"WaveMoL: Evolutions of a Scalar Field\";\n\n   CCTK_RegisterBanner(banner);\n\n   return 0;\n}\n",
    "WaveMoL.c": " /*@@\n   @file      WaveMoL.c\n   @date      Fri Nov  9 13:33:25 2001\n   @author    Ian Hawke\n   @desc \n   The equivalent of WaveToy.c\n   @enddesc \n @@*/\n\n  \n#include \"cctk.h\" \n#include \"cctk_Arguments.h\"\n#include \"cctk_Parameters.h\"\n\n/*\n#ifndef DEBUG_MOL\n#define DEBUG_MOL\n#endif\n*/\n\nstatic const char *rcsid = \"$Header$\";\n\nCCTK_FILEVERSION(CactusExamples_WaveMoL_WaveMoL_c)\n\nvoid WaveMoL_Boundaries(CCTK_ARGUMENTS);\nvoid WaveMoL_CalcRHS(CCTK_ARGUMENTS);\nvoid WaveMoL_Energy(CCTK_ARGUMENTS);\n\n /*@@\n   @routine    WaveMoL_Boundaries\n   @date       Fri Nov  9 13:34:47 2001\n   @author     Ian Hawke\n   @desc \n   A slight alteration of the standard routine. Note that I \n   haven't set up the error checking correctly as yet.\n   @enddesc \n   @calls     \n   @calledby   \n   @history \n \n   @endhistory \n\n@@*/\n\nvoid WaveMoL_Boundaries(CCTK_ARGUMENTS)\n{\n  DECLARE_CCTK_ARGUMENTS_WaveMoL_Boundaries;\n  DECLARE_CCTK_PARAMETERS;\n\n  int ierr=-1;\n\n#ifdef DEBUG_MOL\n  printf(\"We've reached the Boundary enforcement; step must be done!\\n\");\n#endif\n\n  /* Uses all default arguments, so invalid table handle -1 can be passed */\n  ierr = Boundary_SelectGroupForBC\n    (cctkGH, CCTK_ALL_FACES, 1, -1, \"wavemol::scalarevolvemol_scalar\", bound);\n\n  if (ierr < 0) \n  {\n    CCTK_ERROR(\"Failed to register bound BC for wavemol::scalarevolvemol_scalar!\");\n  }\n\n  ierr = Boundary_SelectGroupForBC\n    (cctkGH, CCTK_ALL_FACES, 1, -1, \"wavemol::scalarevolvemol_vector\", bound);\n\n  if (ierr < 0) \n  {\n    CCTK_ERROR(\"Failed to register bound BC for wavemol::scalarevolvemol_vector!\");\n  }\n\n  return;\n}\n\n /*@@\n   @routine    WaveMoL_CalcRHS\n   @date       Fri Nov  9 13:37:27 2001\n   @author     Ian Hawke\n   @desc \n   The routine that calculates the RHS of the PDE for the MoL step.\n   @enddesc \n   @calls     \n   @calledby   \n   @history \n \n   @endhistory \n\n@@*/\n\nvoid  WaveMoL_CalcRHS(CCTK_ARGUMENTS)\n{\n\n  DECLARE_CCTK_ARGUMENTS_WaveMoL_CalcRHS;\n      \n  int i,j,k;\n  int index;\n  int istart, jstart, kstart, iend, jend, kend;\n  CCTK_REAL dx,dy,dz;\n  CCTK_REAL hdxi, hdyi, hdzi;\n\n  /* Set up shorthands */\n  dx = CCTK_DELTA_SPACE(0);\n  dy = CCTK_DELTA_SPACE(1);\n  dz = CCTK_DELTA_SPACE(2);\n\n  hdxi = 0.5 / dx;\n  hdyi = 0.5 / dy;\n  hdzi = 0.5 / dz;\n  \n  istart = 1;\n  jstart = 1;\n  kstart = 1;\n  \n  iend = cctk_lsh[0]-1;\n  jend = cctk_lsh[1]-1;\n  kend = cctk_lsh[2]-1;\n\n  /* Calculate the right hand sides. */\n\n#ifdef DEBUG_MOL\n  printf(\"About to loop.\\n\");\n#endif\n\n  for (k=0; k<cctk_lsh[2]; k++)\n  {\n    for (j=0; j<cctk_lsh[1]; j++)\n    {\n      for (i=0; i<cctk_lsh[0]; i++)\n      {\n        index = CCTK_GFINDEX3D(cctkGH,i,j,k);\n        phirhs[index] = phit[index];\n        phitrhs[index] = 0;\n        phixrhs[index] = 0;\n        phiyrhs[index] = 0;\n        phizrhs[index] = 0;\n      }\n    }\n  }  \n\n  for (k=kstart; k<kend; k++)\n  {\n    for (j=jstart; j<jend; j++)\n    {\n      for (i=istart; i<iend; i++)\n      {\n        index = CCTK_GFINDEX3D(cctkGH,i,j,k);\n        \n        phitrhs[index] = \n            (phix[CCTK_GFINDEX3D(cctkGH, i+1, j, k)] -\n             phix[CCTK_GFINDEX3D(cctkGH, i-1, j, k)]) *hdxi\n          + (phiy[CCTK_GFINDEX3D(cctkGH, i, j+1, k)] -\n             phiy[CCTK_GFINDEX3D(cctkGH, i, j-1, k)]) *hdyi\n          + (phiz[CCTK_GFINDEX3D(cctkGH, i, j, k+1)] -\n             phiz[CCTK_GFINDEX3D(cctkGH, i, j, k-1)]) *hdzi;\n        phixrhs[index] = (phit[CCTK_GFINDEX3D(cctkGH, i+1, j, k)] -\n                          phit[CCTK_GFINDEX3D(cctkGH, i-1, j, k)]) *hdxi;\n        phiyrhs[index] = (phit[CCTK_GFINDEX3D(cctkGH, i, j+1, k)] -\n                          phit[CCTK_GFINDEX3D(cctkGH, i, j-1, k)]) *hdyi;\n        phizrhs[index] = (phit[CCTK_GFINDEX3D(cctkGH, i, j, k+1)] -\n                          phit[CCTK_GFINDEX3D(cctkGH, i, j, k-1)]) *hdzi;\n\n#ifdef DEBUG_MOL\n        printf(\"ijk %i %i %i, phitrhs %f\\n\",i,j,k,phitrhs[index]);\n#endif  \n      } \n    }\n  }\n\n#ifdef DEBUG_MOL\n  printf(\"Done with loop\\n\");\n#endif\n\n  return;\n}\n\n /*@@\n   @routine    WaveMoL_Energy\n   @date       Sat Jun 26 15:39:18 2004\n   @author     Ian Hawke\n   @desc \n   Computes the energy d_t phi ^2 + d_x^i phi ^2.\n   An illustration of using constrained MoL variables rather\n   than anything useful.\n   @enddesc \n   @calls     \n   @calledby   \n   @history \n \n   @endhistory \n\n@@*/\n\n\nvoid WaveMoL_Energy(CCTK_ARGUMENTS)\n{\n\n  DECLARE_CCTK_ARGUMENTS_WaveMoL_Energy;\n      \n  int i,j,k;\n  int index;\n\n  for (k=0; k<cctk_lsh[2]; k++)\n  {\n    for (j=0; j<cctk_lsh[1]; j++)\n    {\n      for (i=0; i<cctk_lsh[0]; i++)\n      {\n        index = CCTK_GFINDEX3D(cctkGH,i,j,k);\n        energy[index] = phit[index]*phit[index] +\n          phix[index]*phix[index] +\n          phiy[index]*phiy[index] +\n          phiz[index]*phiz[index];\n      }\n    }\n  }\n  \n}\n\n          \n"
  },
  "test": {
    "gaussian.par": "############################################################\n#\n# gaussian.par\n#\n# A simple example parameter file for WaveMoL\n#\n############################################################\n\nActiveThorns = \"CoordBase SymBase NaNChecker PUGHReduce CartGrid3D PUGH Boundary IOBasic IOUtil IOASCII IDWaveMoL PUGHSlab WaveMoL Time MoL LocalReduce\"\n\n\nidwavemol::initial_data = \"gaussian\"\n\nwavemol::bound = \"radiation\"\n\ngrid::domain = \"full\"\ngrid::type = \"byspacing\"\ngrid::avoid_origin = \"no\"\ndriver::global_nx = 51\ndriver::global_ny = 51\ndriver::global_nz = 51\ngrid::dxyz = 0.02\ndriver::ghost_size = 1\ndriver::initialize_memory = \"NaN\"\ntime::dtfac = 0.5\n\ncactus::cctk_itlast = 10\n\nIOBasic::outScalar_reductions = \"norm1 norm2 minimum maximum norm_inf\"\niobasic::outScalar_every = 1\niobasic::outScalar_vars = \"wavemol::phi\"\n\niobasic::outInfo_every = 1\niobasic::outInfo_vars = \"wavemol::phi\"\n\nioascii::out1D_every = 2\nioascii::out1D_vars = \"wavemol::scalarevolvemol_scalar wavemol::energy\"\n\nIO::out_dir = \"gaussian\"\nIO::out_fileinfo = \"none\"\n\n# Method of Lines (MoL)\nmethodoflines::ode_method = \"icn\"\nmethodoflines::set_ID_boundaries = \"no\"\n",
    "gaussian/phi_norm_inf.xg": "\"phi v time\n0.0000000000000\t1.0000000000000\n0.0100000000000\t0.9711763168254\n0.0200000000000\t0.8884862359191\n0.0300000000000\t0.7590531656323\n0.0400000000000\t0.5937018653198\n0.0500000000000\t0.4057670629084\n0.0600000000000\t0.2497367533886\n0.0700000000000\t0.1900472074568\n0.0800000000000\t0.1626923114490\n0.0900000000000\t0.2962193890717\n0.1000000000000\t0.4057800042258\n",
    "gaussian/phi_3D_diagonal.xg": "\n\n\"Time = 0.0000000000000\n-0.8660254037844\t\t0.0000000000000\n-0.8313843876331\t\t0.0000000000000\n-0.7967433714817\t\t0.0000000000000\n-0.7621023553303\t\t0.0000000000000\n-0.7274613391789\t\t0.0000000000000\n-0.6928203230276\t\t0.0000000000000\n-0.6581793068762\t\t0.0000000000000\n-0.6235382907248\t\t0.0000000000000\n-0.5888972745734\t\t0.0000000000000\n-0.5542562584220\t\t0.0000000000000\n-0.5196152422707\t\t0.0000000000019\n-0.4849742261193\t\t0.0000000000610\n-0.4503332099679\t\t0.0000000015578\n-0.4156921938165\t\t0.0000000312890\n-0.3810511776652\t\t0.0000004943609\n-0.3464101615138\t\t0.0000061442124\n-0.3117691453624\t\t0.0000600700005\n-0.2771281292110\t\t0.0004619748988\n-0.2424871130596\t\t0.0027947852750\n-0.2078460969083\t\t0.0132998835424\n-0.1732050807569\t\t0.0497870683679\n-0.1385640646055\t\t0.1466069621304\n-0.1039230484541\t\t0.3395955256449\n-0.0692820323028\t\t0.6187833918061\n-0.0346410161514\t\t0.8869204367172\n0.0000000000000\t\t1.0000000000000\n0.0346410161514\t\t0.8869204367172\n0.0692820323028\t\t0.6187833918061\n0.1039230484541\t\t0.3395955256449\n0.1385640646055\t\t0.1466069621304\n0.1732050807569\t\t0.0497870683679\n0.2078460969083\t\t0.0132998835424\n0.2424871130596\t\t0.0027947852750\n0.2771281292110\t\t0.0004619748988\n0.3117691453624\t\t0.0000600700005\n0.3464101615138\t\t0.0000061442124\n0.3810511776652\t\t0.0000004943609\n0.4156921938165\t\t0.0000000312890\n0.4503332099679\t\t0.0000000015578\n0.4849742261193\t\t0.0000000000610\n0.5196152422707\t\t0.0000000000019\n0.5542562584220\t\t0.0000000000000\n0.5888972745734\t\t0.0000000000000\n0.6235382907248\t\t0.0000000000000\n0.6581793068762\t\t0.0000000000000\n0.6928203230276\t\t0.0000000000000\n0.7274613391789\t\t0.0000000000000\n0.7621023553303\t\t0.0000000000000\n0.7967433714817\t\t0.0000000000000\n0.8313843876331\t\t0.0000000000000\n0.8660254037844\t\t0.0000000000000\n\n\n\"Time = 0.0200000000000\n-0.8660254037844\t\t0.0000000000000\n-0.8313843876331\t\t0.0000000000000\n-0.7967433714817\t\t0.0000000000000\n-0.7621023553303\t\t0.0000000000000\n-0.7274613391789\t\t0.0000000000000\n-0.6928203230276\t\t0.0000000000000\n-0.6581793068762\t\t0.0000000000000\n-0.6235382907248\t\t0.0000000000000\n-0.5888972745734\t\t0.0000000000000\n-0.5542562584220\t\t0.0000000000003\n-0.5196152422707\t\t0.0000000000086\n-0.4849742261193\t\t0.0000000002324\n-0.4503332099679\t\t0.0000000049657\n-0.4156921938165\t\t0.0000000843041\n-0.3810511776652\t\t0.0000011370094\n-0.3464101615138\t\t0.0000121822324\n-0.3117691453624\t\t0.0001037085634\n-0.2771281292110\t\t0.0007017777633\n-0.2424871130596\t\t0.0037770870506\n-0.2078460969083\t\t0.0161832021240\n-0.1732050807569\t\t0.0552574068752\n-0.1385640646055\t\t0.1505458238006\n-0.1039230484541\t\t0.3276852228018\n-0.0692820323028\t\t0.5705357547576\n-0.0346410161514\t\t0.7953973764900\n0.0000000000000\t\t0.8884862359191\n0.0346410161514\t\t0.7953973764900\n0.0692820323028\t\t0.5705357547576\n0.1039230484541\t\t0.3276852228018\n0.1385640646055\t\t0.1505458238006\n0.1732050807569\t\t0.0552574068752\n0.2078460969083\t\t0.0161832021240\n0.2424871130596\t\t0.0037770870506\n0.2771281292110\t\t0.0007017777633\n0.3117691453624\t\t0.0001037085634\n0.3464101615138\t\t0.0000121822324\n0.3810511776652\t\t0.0000011370094\n0.4156921938165\t\t0.0000000843041\n0.4503332099679\t\t0.0000000049657\n0.4849742261193\t\t0.0000000002324\n0.5196152422707\t\t0.0000000000086\n0.5542562584220\t\t0.0000000000003\n0.5888972745734\t\t0.0000000000000\n0.6235382907248\t\t0.0000000000000\n0.6581793068762\t\t0.0000000000000\n0.6928203230276\t\t0.0000000000000\n0.7274613391789\t\t0.0000000000000\n0.7621023553303\t\t0.0000000000000\n0.7967433714817\t\t0.0000000000000\n0.8313843876331\t\t0.0000000000000\n0.8660254037844\t\t0.0000000000000\n\n\n\"Time = 0.0400000000000\n-0.8660254037844\t\t-0.0000000000000\n-0.8313843876331\t\t0.0000000000000\n-0.7967433714817\t\t0.0000000000000\n-0.7621023553303\t\t0.0000000000000\n-0.7274613391789\t\t0.0000000000000\n-0.6928203230276\t\t0.0000000000000\n-0.6581793068762\t\t0.0000000000000\n-0.6235382907248\t\t0.0000000000000\n-0.5888972745734\t\t0.0000000000001\n-0.5542562584220\t\t0.0000000000027\n-0.5196152422707\t\t0.0000000000739\n-0.4849742261193\t\t0.0000000016155\n-0.4503332099679\t\t0.0000000282573\n-0.4156921938165\t\t0.0000003951748\n-0.3810511776652\t\t0.0000044121846\n-0.3464101615138\t\t0.0000392691531\n-0.3117691453624\t\t0.0002781763489\n-0.2771281292110\t\t0.0015663325964\n-0.2424871130596\t\t0.0070046564644\n-0.2078460969083\t\t0.0248837867527\n-0.1732050807569\t\t0.0703675059303\n-0.1385640646055\t\t0.1592302583484\n-0.1039230484541\t\t0.2912305111756\n-0.0692820323028\t\t0.4375061494677\n-0.0346410161514\t\t0.5511918432487\n0.0000000000000\t\t0.5937018653198\n0.0346410161514\t\t0.5511918432487\n0.0692820323028\t\t0.4375061494677\n0.1039230484541\t\t0.2912305111756\n0.1385640646055\t\t0.1592302583484\n0.1732050807569\t\t0.0703675059303\n0.2078460969083\t\t0.0248837867527\n0.2424871130596\t\t0.0070046564644\n0.2771281292110\t\t0.0015663325964\n0.3117691453624\t\t0.0002781763489\n0.3464101615138\t\t0.0000392691531\n0.3810511776652\t\t0.0000044121846\n0.4156921938165\t\t0.0000003951748\n0.4503332099679\t\t0.0000000282573\n0.4849742261193\t\t0.0000000016155\n0.5196152422707\t\t0.0000000000739\n0.5542562584220\t\t0.0000000000027\n0.5888972745734\t\t0.0000000000001\n0.6235382907248\t\t0.0000000000000\n0.6581793068762\t\t0.0000000000000\n0.6928203230276\t\t0.0000000000000\n0.7274613391789\t\t0.0000000000000\n0.7621023553303\t\t0.0000000000000\n0.7967433714817\t\t0.0000000000000\n0.8313843876331\t\t0.0000000000000\n0.8660254037844\t\t-0.0000000000000\n\n\n\"Time = 0.0600000000000\n-0.8660254037844\t\t-0.0000000000000\n-0.8313843876331\t\t0.0000000000000\n-0.7967433714817\t\t0.0000000000000\n-0.7621023553303\t\t0.0000000000000\n-0.7274613391789\t\t0.0000000000000\n-0.6928203230276\t\t0.0000000000000\n-0.6581793068762\t\t0.0000000000000\n-0.6235382907248\t\t0.0000000000000\n-0.5888972745734\t\t0.0000000000009\n-0.5542562584220\t\t0.0000000000246\n-0.5196152422707\t\t0.0000000005495\n-0.4849742261193\t\t0.0000000099252\n-0.4503332099679\t\t0.0000001445806\n-0.4156921938165\t\t0.0000016952520\n-0.3810511776652\t\t0.0000159633305\n-0.3464101615138\t\t0.0001203956571\n-0.3117691453624\t\t0.0007249389525\n-0.2771281292110\t\t0.0034713916017\n-0.2424871130596\t\t0.0131563874364\n-0.2078460969083\t\t0.0392307562822\n-0.1732050807569\t\t0.0913800237865\n-0.1385640646055\t\t0.1649621374876\n-0.1039230484541\t\t0.2296105820196\n-0.0692820323028\t\t0.2493058605155\n-0.0346410161514\t\t0.2270438158830\n0.0000000000000\t\t0.2096792116474\n0.0346410161514\t\t0.2270438158830\n0.0692820323028\t\t0.2493058605155\n0.1039230484541\t\t0.2296105820196\n0.1385640646055\t\t0.1649621374876\n0.1732050807569\t\t0.0913800237865\n0.2078460969083\t\t0.0392307562822\n0.2424871130596\t\t0.0131563874364\n0.2771281292110\t\t0.0034713916017\n0.3117691453624\t\t0.0007249389525\n0.3464101615138\t\t0.0001203956571\n0.3810511776652\t\t0.0000159633305\n0.4156921938165\t\t0.0000016952520\n0.4503332099679\t\t0.0000001445806\n0.4849742261193\t\t0.0000000099252\n0.5196152422707\t\t0.0000000005495\n0.5542562584220\t\t0.0000000000246\n0.5888972745734\t\t0.0000000000009\n0.6235382907248\t\t0.0000000000000\n0.6581793068762\t\t0.0000000000000\n0.6928203230276\t\t0.0000000000000\n0.7274613391789\t\t0.0000000000000\n0.7621023553303\t\t0.0000000000000\n0.7967433714817\t\t0.0000000000000\n0.8313843876331\t\t0.0000000000000\n0.8660254037844\t\t-0.0000000000000\n\n\n\"Time = 0.0800000000000\n-0.8660254037844\t\t0.0000000000000\n-0.8313843876331\t\t0.0000000000000\n-0.7967433714817\t\t0.0000000000000\n-0.7621023553303\t\t0.0000000000000\n-0.7274613391789\t\t0.0000000000000\n-0.6928203230276\t\t0.0000000000000\n-0.6581793068762\t\t0.0000000000000\n-0.6235382907248\t\t0.0000000000003\n-0.5888972745734\t\t0.0000000000083\n-0.5542562584220\t\t0.0000000001894\n-0.5196152422707\t\t0.0000000035235\n-0.4849742261193\t\t0.0000000532968\n-0.4503332099679\t\t0.0000006540365\n-0.4156921938165\t\t0.0000064949406\n-0.3810511776652\t\t0.0000520400371\n-0.3464101615138\t\t0.0003352418758\n-0.3117691453624\t\t0.0017287910617\n-0.2771281292110\t\t0.0070960091000\n-0.2424871130596\t\t0.0229980091317\n-0.2078460969083\t\t0.0581293993809\n-0.1732050807569\t\t0.1121544701032\n-0.1385640646055\t\t0.1581389638726\n-0.1039230484541\t\t0.1451602664394\n-0.0692820323028\t\t0.0458622514949\n-0.0346410161514\t\t-0.0887009860248\n0.0000000000000\t\t-0.1523503248422\n0.0346410161514\t\t-0.0887009860248\n0.0692820323028\t\t0.0458622514949\n0.1039230484541\t\t0.1451602664394\n0.1385640646055\t\t0.1581389638726\n0.1732050807569\t\t0.1121544701032\n0.2078460969083\t\t0.0581293993809\n0.2424871130596\t\t0.0229980091317\n0.2771281292110\t\t0.0070960091000\n0.3117691453624\t\t0.0017287910617\n0.3464101615138\t\t0.0003352418758\n0.3810511776652\t\t0.0000520400371\n0.4156921938165\t\t0.0000064949406\n0.4503332099679\t\t0.0000006540365\n0.4849742261193\t\t0.0000000532968\n0.5196152422707\t\t0.0000000035235\n0.5542562584220\t\t0.0000000001894\n0.5888972745734\t\t0.0000000000083\n0.6235382907248\t\t0.0000000000003\n0.6581793068762\t\t0.0000000000000\n0.6928203230276\t\t0.0000000000000\n0.7274613391789\t\t0.0000000000000\n0.7621023553303\t\t0.0000000000000\n0.7967433714817\t\t0.0000000000000\n0.8313843876331\t\t0.0000000000000\n0.8660254037844\t\t0.0000000000000\n\n\n\"Time = 0.1000000000000\n-0.8660254037844\t\t0.0000000000000\n-0.8313843876331\t\t0.0000000000000\n-0.7967433714817\t\t0.0000000000000\n-0.7621023553303\t\t0.0000000000000\n-0.7274613391789\t\t0.0000000000000\n-0.6928203230276\t\t0.0000000000000\n-0.6581793068762\t\t0.0000000000001\n-0.6235382907248\t\t0.0000000000028\n-0.5888972745734\t\t0.0000000000658\n-0.5542562584220\t\t0.0000000012578\n-0.5196152422707\t\t0.0000000197012\n-0.4849742261193\t\t0.0000002522278\n-0.4503332099679\t\t0.0000026323618\n-0.4156921938165\t\t0.0000223243884\n-0.3810511776652\t\t0.0001532799266\n-0.3464101615138\t\t0.0008482507771\n-0.3117691453624\t\t0.0037623166124\n-0.2771281292110\t\t0.0132733841634\n-0.2424871130596\t\t0.0368279629478\n-0.2078460969083\t\t0.0788126390116\n-0.1732050807569\t\t0.1249485195899\n-0.1385640646055\t\t0.1311143764552\n-0.1039230484541\t\t0.0456596184181\n-0.0692820323028\t\t-0.1332937293384\n-0.0346410161514\t\t-0.3234668546157\n0.0000000000000\t\t-0.4057800042258\n0.0346410161514\t\t-0.3234668546157\n0.0692820323028\t\t-0.1332937293384\n0.1039230484541\t\t0.0456596184181\n0.1385640646055\t\t0.1311143764552\n0.1732050807569\t\t0.1249485195899\n0.2078460969083\t\t0.0788126390116\n0.2424871130596\t\t0.0368279629478\n0.2771281292110\t\t0.0132733841634\n0.3117691453624\t\t0.0037623166124\n0.3464101615138\t\t0.0008482507771\n0.3810511776652\t\t0.0001532799266\n0.4156921938165\t\t0.0000223243884\n0.4503332099679\t\t0.0000026323618\n0.4849742261193\t\t0.0000002522278\n0.5196152422707\t\t0.0000000197012\n0.5542562584220\t\t0.0000000012578\n0.5888972745734\t\t0.0000000000658\n0.6235382907248\t\t0.0000000000028\n0.6581793068762\t\t0.0000000000001\n0.6928203230276\t\t0.0000000000000\n0.7274613391789\t\t0.0000000000000\n0.7621023553303\t\t0.0000000000000\n0.7967433714817\t\t0.0000000000000\n0.8313843876331\t\t0.0000000000000\n0.8660254037844\t\t0.0000000000000\n",
    "gaussian/phi_norm2.xg": "\"phi v time\n0.0000000000000\t0.0430714656302\n0.0100000000000\t0.0424412135368\n0.0200000000000\t0.0406299532861\n0.0300000000000\t0.0378277504041\n0.0400000000000\t0.0343433436474\n0.0500000000000\t0.0305957401972\n0.0600000000000\t0.0270964846761\n0.0700000000000\t0.0243927425171\n0.0800000000000\t0.0229176547380\n0.0900000000000\t0.0227728350393\n0.1000000000000\t0.0236622366024\n",
    "gaussian/phi_maximum.xg": "\"phi v time\n0.0000000000000\t1.0000000000000\n0.0100000000000\t0.9711763168254\n0.0200000000000\t0.8884862359191\n0.0300000000000\t0.7590531656323\n0.0400000000000\t0.5937018653198\n0.0500000000000\t0.4057670629084\n0.0600000000000\t0.2497367533886\n0.0700000000000\t0.1900472074568\n0.0800000000000\t0.1626923114490\n0.0900000000000\t0.1474458458821\n0.1000000000000\t0.1369826317138\n",
    "gaussian/gaussian.par": "############################################################\n#\n# gaussian.par\n#\n# A simple example parameter file for WaveMoL\n#\n############################################################\n\nActiveThorns = \"CoordBase SymBase NaNChecker PUGHReduce CartGrid3D PUGH Boundary IOBasic IOUtil IOASCII IDWaveMoL PUGHSlab WaveMoL Time MoL LocalReduce\"\n\n\nidwavemol::initial_data = \"gaussian\"\n\nwavemol::bound = \"radiation\"\n\ngrid::domain = \"full\"\ngrid::type = \"byspacing\"\ngrid::avoid_origin = \"no\"\ndriver::global_nx = 51\ndriver::global_ny = 51\ndriver::global_nz = 51\ngrid::dxyz = 0.02\ndriver::ghost_size = 1\ndriver::initialize_memory = \"NaN\"\ntime::dtfac = 0.5\n\ncactus::cctk_itlast = 10\n\nIOBasic::outScalar_reductions = \"norm1 norm2 minimum maximum norm_inf\"\niobasic::outScalar_every = 1\niobasic::outScalar_vars = \"wavemol::phi\"\n\niobasic::outInfo_every = 1\niobasic::outInfo_vars = \"wavemol::phi\"\n\nioascii::out1D_every = 2\nioascii::out1D_vars = \"wavemol::scalarevolvemol_scalar wavemol::energy\"\n\nIO::out_dir = \"gaussian\"\nIO::out_fileinfo = \"none\"\n\n# Method of Lines (MoL)\nmethodoflines::ode_method = \"icn\"\nmethodoflines::set_ID_boundaries = \"no\"\n",
    "gaussian/phit_z_[25][25].xg": "\n\n\"Time = 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    "gaussian/phi_norm1.xg": "\"phi v time\n0.0000000000000\t0.0052471598375\n0.0100000000000\t0.0052471598375\n0.0200000000000\t0.0052471598371\n0.0300000000000\t0.0052471598364\n0.0400000000000\t0.0052471598330\n0.0500000000000\t0.0052471598213\n0.0600000000000\t0.0052471597950\n0.0700000000000\t0.0052471597318\n0.0800000000000\t0.0053304862599\n0.0900000000000\t0.0056349336341\n0.1000000000000\t0.0060825916578\n",
    "gaussian/energy_y_[25][25].xg": "\n\n\"Time = 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= 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= 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    "gaussian/phit_y_[25][25].xg": "\n\n\"Time = 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= 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    "gaussian/phi_minimum.xg": "\"phi v time\n0.0000000000000\t0.0000000000000\n0.0100000000000\t0.0000000000000\n0.0200000000000\t-0.0000000000206\n0.0300000000000\t-0.0000000001150\n0.0400000000000\t-0.0000000002050\n0.0500000000000\t-0.0000000000078\n0.0600000000000\t-0.0000000000000\n0.0700000000000\t-0.0000000000000\n0.0800000000000\t-0.1523503248422\n0.0900000000000\t-0.2962193890717\n0.1000000000000\t-0.4057800042258\n",
    "gaussian/energy_x_[25][25].xg": "\n\n\"Time = 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  "doc": {
    "documentation.tex": "% *======================================================================*\n%  Cactus Thorn template for ThornGuide documentation\n%  Author: Ian Kelley\n%  Date: Sun Jun 02, 2002\n%  $Header$                                                             \n%\n%  Thorn documentation in the latex file doc/documentation.tex \n%  will be included in ThornGuides built with the Cactus make system.\n%  The scripts employed by the make system automatically include \n%  pages about variables, parameters and scheduling parsed from the \n%  relevent thorn CCL files.\n%  \n%  This template contains guidelines which help to assure that your     \n%  documentation will be correctly added to ThornGuides. More \n%  information is available in the Cactus UsersGuide.\n%                                                    \n%  Guidelines:\n%   - Do not change anything before the line\n%       % START CACTUS THORNGUIDE\",\n%     except for filling in the title, author, date etc. fields.\n%        - Each of these fields should only be on ONE line.\n%        - Author names should be sparated with a \\\\ or a comma\n%   - You can define your own macros, but they must appear after\n%     the START CACTUS THORNGUIDE line, and must not redefine standard \n%     latex commands.\n%   - To avoid name clashes with other thorns, 'labels', 'citations', \n%     'references', and 'image' names should conform to the following \n%     convention:          \n%       ARRANGEMENT_THORN_LABEL\n%     For example, an image wave.eps in the arrangement CactusWave and \n%     thorn WaveToyC should be renamed to CactusWave_WaveToyC_wave.eps\n%   - Graphics should only be included using the graphix package. \n%     More specifically, with the \"includegraphics\" command. Do\n%     not specify any graphic file extensions in your .tex file. This \n%     will allow us (later) to create a PDF version of the ThornGuide\n%     via pdflatex. |\n%   - References should be included with the latex \"bibitem\" command. \n%   - Use \\begin{abstract}...\\end{abstract} instead of \\abstract{...}\n%   - Do not use \\appendix, instead include any appendices you need as \n%     standard sections. \n%   - For the benefit of our Perl scripts, and for future extensions, \n%     please use simple latex.     \n%\n% *======================================================================* \n% \n% Example of including a graphic image:\n%    \\begin{figure}[ht]\n%       \\begin{center}\n%          \\includegraphics[width=6cm]{MyArrangement_MyThorn_MyFigure}\n%       \\end{center}\n%       \\caption{Illustration of this and that}\n%       \\label{MyArrangement_MyThorn_MyLabel}\n%    \\end{figure}\n%\n% Example of using a label:\n%   \\label{MyArrangement_MyThorn_MyLabel}\n%\n% Example of a citation:\n%    \\cite{MyArrangement_MyThorn_Author99}\n%\n% Example of including a reference\n%   \\bibitem{MyArrangement_MyThorn_Author99}\n%   {J. Author, {\\em The Title of the Book, Journal, or periodical}, 1 (1999), \n%   1--16. {\\tt http://www.nowhere.com/}}\n%\n% *======================================================================* \n\n% If you are using CVS use this line to give version information\n% $Header$\n\n\\documentclass{article}\n\n% Use the Cactus ThornGuide style file\n% (Automatically used from Cactus distribution, if you have a \n%  thorn without the Cactus Flesh download this from the Cactus\n%  homepage at www.cactuscode.org)\n\\usepackage{../../../../doc/latex/cactus}\n\n\\begin{document}\n\n% The author of the documentation\n\\author{Ian Hawke} \n\n% The title of the document (not necessarily the name of the Thorn)\n\\title{The scalar wave equation in Method of Lines form}\n\n% the date your document was last changed, if your document is in CVS, \n% please use:\n\\date{$ $Date$ $}\n\n\\maketitle\n\n% Do not delete next line\n% START CACTUS THORNGUIDE\n\n% Add all definitions used in this documentation here \n%   \\def\\mydef etc\n\n% Add an abstract for this thorn's documentation\n\\begin{abstract}\n  WaveMoL is an example implementation of a thorn that uses the method\n  of lines thorn MoL. The wave equation in first order form is\n  implemented. \n\\end{abstract}\n\n% The following sections are suggestive only.\n% Remove them or add your own.\n\n% \\section{Introduction}\n\n% \\section{Physical System}\n\n% \\section{Numerical Implementation}\n\n% \\section{Using This Thorn}\n\n% \\subsection{Obtaining This Thorn}\n\n% \\subsection{Basic Usage}\n\n% \\subsection{Special Behaviour}\n\n% \\subsection{Interaction With Other Thorns}\n\n% \\subsection{Examples}\n\n% \\subsection{Support and Feedback}\n\n% \\section{History}\n\n% \\subsection{Thorn Source Code}\n\n% \\subsection{Thorn Documentation}\n\n% \\subsection{Acknowledgements}\n\n\\section{Purpose}\n\\label{sec:purpose}\n\nWaveToy is the simple test thorn that comes with Cactus as\nstandard. This is written so that it solves the wave equation\n\\begin{equation}\n  \\label{eq:wave1}\n  \\partial_t^2 \\phi = \\partial_{x^i}^2 \\phi^i\n\\end{equation}\ndirectly using the leapfrog scheme. This form of the equations isn't\nsuitable for use with the method of lines.\n\nThe purpose of this thorn is to rewrite the equations in first order\nform\n\\begin{eqnarray}\n  \\label{eq:wave2}\n  \\partial_t \\Phi & = & \\partial_{x^i} \\Pi^i, \\\\\n  \\partial_t \\Pi^j & = & \\partial_{x^j} \\Phi, \\\\\n  \\partial_t \\phi & = & \\Phi, \\\\\n  \\partial_{x^j} \\phi & = & \\Pi^j.\n\\end{eqnarray}\nThe first three equations (which expand to five separate PDEs) will be\nevolved. The final equation is used to set the initial data and can be\nthought of as a constraint.\n\nThis will be implemented using simple second order differencing in\nspace. Time evolution is performed by the method of lines thorn MoL.\n\n\\section{How it works}\n\\label{sec:details}\n\nThe equations are evolved entirely using the method of lines thorn. So\nall we have to provide (for the evolution) is a method of calculating\nthe right hand side of equation~(\\ref{eq:wave2}) and boundary\nconditions. The boundary conditions are standard from wavetoy\nitself. The right hand side is calculated using second order centred\nfinite differences.\n\nTo be compatible with the method of lines thorn we must let it know\nthat the GFs $(\\phi, \\Pi, \\Phi^j)$ exist and where they are stored.\nThey should all have at least two time levels (although the addition\nof extra time levels may not cause problems it's just wasting space).\nThe GFs corresponding to the right hand sides must also be registered\nwith the MoL thorn. These should only have one time level. MoL is\ninformed of the existence of these grid functions through the\naccumulator parameters and the aliased functions.\n\n% Do not delete next line\n% END CACTUS THORNGUIDE\n\n\\end{document}\n"
  }
}